Bioengineering

Bioengineering is a multidisciplinary field that applies the principles and problem-solving techniques of engineering to biology and medicine. It seeks to understand, modify, or control biological systems to develop solutions that can improve human health, agriculture, and environmental sustainability. This broad discipline encompasses a wide range of applications, including the design of medical devices and artificial organs, the development of novel diagnostic tools, tissue engineering to regenerate damaged tissues, the creation of biocompatible materials, and the genetic modification of organisms to produce pharmaceuticals or enhance crop yields.

  1. Foundations of Bioengineering
    1. Foundational Biology
      1. Cell Biology
        1. Prokaryotic and Eukaryotic Cells
          1. Structural Differences
            1. Functional Differences
              1. Evolutionary Origins
                1. Comparative Metabolism
                2. Cellular Organelles and Functions
                  1. Nucleus
                    1. Nuclear Envelope
                      1. Chromatin Organization
                        1. Nucleolus
                        2. Mitochondria
                          1. Structure and Cristae
                            1. ATP Synthesis
                              1. Mitochondrial DNA
                              2. Endoplasmic Reticulum
                                1. Rough ER
                                  1. Smooth ER
                                    1. Protein Folding
                                    2. Golgi Apparatus
                                      1. Protein Modification
                                        1. Vesicle Transport
                                        2. Lysosomes and Peroxisomes
                                          1. Lysosomal Enzymes
                                            1. Autophagy
                                              1. Peroxisomal Functions
                                              2. Cytoskeleton
                                                1. Microfilaments
                                                  1. Microtubules
                                                    1. Intermediate Filaments
                                                      1. Motor Proteins
                                                      2. Plasma Membrane
                                                        1. Membrane Structure
                                                          1. Membrane Proteins
                                                            1. Membrane Fluidity
                                                          2. Cell Cycle and Division
                                                            1. Phases of Cell Cycle
                                                              1. G1 Phase
                                                                1. S Phase
                                                                  1. G2 Phase
                                                                    1. M Phase
                                                                    2. Mitosis
                                                                      1. Prophase
                                                                        1. Metaphase
                                                                          1. Anaphase
                                                                            1. Telophase
                                                                              1. Cytokinesis
                                                                              2. Meiosis
                                                                                1. Meiosis I
                                                                                  1. Meiosis II
                                                                                    1. Genetic Recombination
                                                                                    2. Cell Cycle Regulation
                                                                                      1. Cyclins and CDKs
                                                                                        1. Checkpoints
                                                                                          1. Tumor Suppressors
                                                                                          2. Apoptosis and Cell Death
                                                                                            1. Apoptotic Pathways
                                                                                              1. Necrosis
                                                                                                1. Autophagy
                                                                                              2. Cell Signaling and Communication
                                                                                                1. Types of Cell Signaling
                                                                                                  1. Autocrine Signaling
                                                                                                    1. Paracrine Signaling
                                                                                                      1. Endocrine Signaling
                                                                                                        1. Juxtacrine Signaling
                                                                                                        2. Signal Transduction Pathways
                                                                                                          1. G-Protein Coupled Receptors
                                                                                                            1. Receptor Tyrosine Kinases
                                                                                                              1. Ion Channel Receptors
                                                                                                              2. Receptors
                                                                                                                1. Membrane-bound Receptors
                                                                                                                  1. Intracellular Receptors
                                                                                                                    1. Receptor Binding Kinetics
                                                                                                                    2. Second Messengers
                                                                                                                      1. cAMP
                                                                                                                        1. Calcium
                                                                                                                          1. IP3 and DAG
                                                                                                                          2. Cellular Responses
                                                                                                                            1. Gene Expression Changes
                                                                                                                              1. Metabolic Changes
                                                                                                                                1. Structural Changes
                                                                                                                            2. Molecular Biology
                                                                                                                              1. DNA Structure and Replication
                                                                                                                                1. DNA Double Helix
                                                                                                                                  1. Base Pairing
                                                                                                                                    1. Major and Minor Grooves
                                                                                                                                      1. DNA Packaging
                                                                                                                                      2. DNA Replication Mechanisms
                                                                                                                                        1. DNA Polymerases
                                                                                                                                          1. Leading and Lagging Strands
                                                                                                                                            1. Okazaki Fragments
                                                                                                                                              1. Proofreading
                                                                                                                                              2. DNA Repair Mechanisms
                                                                                                                                                1. Base Excision Repair
                                                                                                                                                  1. Nucleotide Excision Repair
                                                                                                                                                    1. Mismatch Repair
                                                                                                                                                      1. Double-Strand Break Repair
                                                                                                                                                    2. RNA and Transcription
                                                                                                                                                      1. Types of RNA
                                                                                                                                                        1. Messenger RNA
                                                                                                                                                          1. Transfer RNA
                                                                                                                                                            1. Ribosomal RNA
                                                                                                                                                              1. MicroRNA
                                                                                                                                                                1. Long Non-coding RNA
                                                                                                                                                                2. Transcription Process
                                                                                                                                                                  1. RNA Polymerases
                                                                                                                                                                    1. Promoters and Enhancers
                                                                                                                                                                      1. Transcription Factors
                                                                                                                                                                        1. Elongation and Termination
                                                                                                                                                                        2. RNA Processing and Splicing
                                                                                                                                                                          1. 5' Capping
                                                                                                                                                                            1. 3' Polyadenylation
                                                                                                                                                                              1. Splicing Mechanisms
                                                                                                                                                                                1. Alternative Splicing
                                                                                                                                                                              2. Protein Synthesis and Translation
                                                                                                                                                                                1. Genetic Code
                                                                                                                                                                                  1. Codon Usage
                                                                                                                                                                                    1. Start and Stop Codons
                                                                                                                                                                                      1. Degeneracy
                                                                                                                                                                                      2. Ribosome Structure and Function
                                                                                                                                                                                        1. Ribosomal Subunits
                                                                                                                                                                                          1. rRNA Function
                                                                                                                                                                                            1. Ribosome Binding Sites
                                                                                                                                                                                            2. Translation Process
                                                                                                                                                                                              1. Initiation
                                                                                                                                                                                                1. Elongation
                                                                                                                                                                                                  1. Termination
                                                                                                                                                                                                    1. Polyribosomes
                                                                                                                                                                                                    2. Post-translational Modifications
                                                                                                                                                                                                      1. Phosphorylation
                                                                                                                                                                                                        1. Glycosylation
                                                                                                                                                                                                          1. Ubiquitination
                                                                                                                                                                                                            1. Protein Folding
                                                                                                                                                                                                          2. Gene Regulation and Expression
                                                                                                                                                                                                            1. Operons and Regulatory Elements
                                                                                                                                                                                                              1. Lac Operon
                                                                                                                                                                                                                1. Trp Operon
                                                                                                                                                                                                                  1. Promoter Elements
                                                                                                                                                                                                                    1. Silencers and Enhancers
                                                                                                                                                                                                                    2. Epigenetic Regulation
                                                                                                                                                                                                                      1. DNA Methylation
                                                                                                                                                                                                                        1. Histone Modifications
                                                                                                                                                                                                                          1. Chromatin Remodeling
                                                                                                                                                                                                                          2. Transcription Factors
                                                                                                                                                                                                                            1. DNA-binding Domains
                                                                                                                                                                                                                              1. Activation Domains
                                                                                                                                                                                                                                1. Transcriptional Networks
                                                                                                                                                                                                                                2. RNA Interference
                                                                                                                                                                                                                                  1. siRNA
                                                                                                                                                                                                                                    1. miRNA
                                                                                                                                                                                                                                      1. RISC Complex
                                                                                                                                                                                                                                  2. Human Physiology
                                                                                                                                                                                                                                    1. Organ Systems Overview
                                                                                                                                                                                                                                      1. Nervous System
                                                                                                                                                                                                                                        1. Central Nervous System
                                                                                                                                                                                                                                          1. Peripheral Nervous System
                                                                                                                                                                                                                                            1. Autonomic Nervous System
                                                                                                                                                                                                                                            2. Cardiovascular System
                                                                                                                                                                                                                                              1. Heart
                                                                                                                                                                                                                                                1. Blood Vessels
                                                                                                                                                                                                                                                  1. Blood Components
                                                                                                                                                                                                                                                  2. Respiratory System
                                                                                                                                                                                                                                                    1. Airways
                                                                                                                                                                                                                                                      1. Alveoli
                                                                                                                                                                                                                                                        1. Gas Exchange
                                                                                                                                                                                                                                                        2. Musculoskeletal System
                                                                                                                                                                                                                                                          1. Skeletal Muscle
                                                                                                                                                                                                                                                            1. Smooth Muscle
                                                                                                                                                                                                                                                              1. Cardiac Muscle
                                                                                                                                                                                                                                                                1. Bone Tissue
                                                                                                                                                                                                                                                                2. Digestive System
                                                                                                                                                                                                                                                                  1. Gastrointestinal Tract
                                                                                                                                                                                                                                                                    1. Accessory Organs
                                                                                                                                                                                                                                                                      1. Nutrient Absorption
                                                                                                                                                                                                                                                                      2. Renal System
                                                                                                                                                                                                                                                                        1. Kidneys
                                                                                                                                                                                                                                                                          1. Ureters and Bladder
                                                                                                                                                                                                                                                                            1. Filtration and Excretion
                                                                                                                                                                                                                                                                            2. Endocrine System
                                                                                                                                                                                                                                                                              1. Hormone-producing Glands
                                                                                                                                                                                                                                                                                1. Hormone Types
                                                                                                                                                                                                                                                                                  1. Feedback Mechanisms
                                                                                                                                                                                                                                                                                  2. Immune System
                                                                                                                                                                                                                                                                                    1. Innate Immunity
                                                                                                                                                                                                                                                                                      1. Adaptive Immunity
                                                                                                                                                                                                                                                                                        1. Lymphoid Organs
                                                                                                                                                                                                                                                                                      2. Homeostasis and Feedback Control
                                                                                                                                                                                                                                                                                        1. Negative Feedback Loops
                                                                                                                                                                                                                                                                                          1. Temperature Regulation
                                                                                                                                                                                                                                                                                            1. Blood Glucose Control
                                                                                                                                                                                                                                                                                              1. Blood Pressure Control
                                                                                                                                                                                                                                                                                              2. Positive Feedback Loops
                                                                                                                                                                                                                                                                                                1. Blood Clotting
                                                                                                                                                                                                                                                                                                  1. Childbirth
                                                                                                                                                                                                                                                                                                  2. Set Points and Regulation
                                                                                                                                                                                                                                                                                                    1. Physiological Set Points
                                                                                                                                                                                                                                                                                                      1. Adaptation Mechanisms
                                                                                                                                                                                                                                                                                                    2. Neurophysiology
                                                                                                                                                                                                                                                                                                      1. Neuron Structure and Function
                                                                                                                                                                                                                                                                                                        1. Cell Body
                                                                                                                                                                                                                                                                                                          1. Dendrites
                                                                                                                                                                                                                                                                                                            1. Axon
                                                                                                                                                                                                                                                                                                              1. Synapses
                                                                                                                                                                                                                                                                                                              2. Action Potentials
                                                                                                                                                                                                                                                                                                                1. Resting Potential
                                                                                                                                                                                                                                                                                                                  1. Depolarization
                                                                                                                                                                                                                                                                                                                    1. Repolarization
                                                                                                                                                                                                                                                                                                                      1. Refractory Periods
                                                                                                                                                                                                                                                                                                                      2. Synaptic Transmission
                                                                                                                                                                                                                                                                                                                        1. Neurotransmitters
                                                                                                                                                                                                                                                                                                                          1. Synaptic Vesicles
                                                                                                                                                                                                                                                                                                                            1. Postsynaptic Receptors
                                                                                                                                                                                                                                                                                                                            2. Sensory and Motor Pathways
                                                                                                                                                                                                                                                                                                                              1. Sensory Transduction
                                                                                                                                                                                                                                                                                                                                1. Motor Control
                                                                                                                                                                                                                                                                                                                                  1. Reflex Arcs
                                                                                                                                                                                                                                                                                                                                2. Cardiovascular Physiology
                                                                                                                                                                                                                                                                                                                                  1. Heart Anatomy and Function
                                                                                                                                                                                                                                                                                                                                    1. Heart Chambers
                                                                                                                                                                                                                                                                                                                                      1. Heart Valves
                                                                                                                                                                                                                                                                                                                                        1. Cardiac Muscle Properties
                                                                                                                                                                                                                                                                                                                                        2. Blood Vessels and Circulation
                                                                                                                                                                                                                                                                                                                                          1. Arteries
                                                                                                                                                                                                                                                                                                                                            1. Veins
                                                                                                                                                                                                                                                                                                                                              1. Capillaries
                                                                                                                                                                                                                                                                                                                                                1. Systemic and Pulmonary Circulation
                                                                                                                                                                                                                                                                                                                                                2. Blood Pressure Regulation
                                                                                                                                                                                                                                                                                                                                                  1. Baroreceptors
                                                                                                                                                                                                                                                                                                                                                    1. Renin-Angiotensin System
                                                                                                                                                                                                                                                                                                                                                      1. Vasodilation and Vasoconstriction
                                                                                                                                                                                                                                                                                                                                                      2. Cardiac Cycle
                                                                                                                                                                                                                                                                                                                                                        1. Systole
                                                                                                                                                                                                                                                                                                                                                          1. Diastole
                                                                                                                                                                                                                                                                                                                                                            1. Heart Sounds
                                                                                                                                                                                                                                                                                                                                                          2. Respiratory Physiology
                                                                                                                                                                                                                                                                                                                                                            1. Lung Structure and Function
                                                                                                                                                                                                                                                                                                                                                              1. Alveolar Structure
                                                                                                                                                                                                                                                                                                                                                                1. Respiratory Membrane
                                                                                                                                                                                                                                                                                                                                                                  1. Surfactant
                                                                                                                                                                                                                                                                                                                                                                  2. Gas Exchange Mechanisms
                                                                                                                                                                                                                                                                                                                                                                    1. Diffusion
                                                                                                                                                                                                                                                                                                                                                                      1. Ventilation-Perfusion Matching
                                                                                                                                                                                                                                                                                                                                                                        1. Oxygen and Carbon Dioxide Transport
                                                                                                                                                                                                                                                                                                                                                                        2. Regulation of Breathing
                                                                                                                                                                                                                                                                                                                                                                          1. Respiratory Centers
                                                                                                                                                                                                                                                                                                                                                                            1. Chemical Control
                                                                                                                                                                                                                                                                                                                                                                              1. Neural Control
                                                                                                                                                                                                                                                                                                                                                                            2. Musculoskeletal Physiology
                                                                                                                                                                                                                                                                                                                                                                              1. Muscle Contraction Mechanisms
                                                                                                                                                                                                                                                                                                                                                                                1. Sliding Filament Theory
                                                                                                                                                                                                                                                                                                                                                                                  1. Excitation-Contraction Coupling
                                                                                                                                                                                                                                                                                                                                                                                    1. Energy Metabolism
                                                                                                                                                                                                                                                                                                                                                                                    2. Bone Structure and Remodeling
                                                                                                                                                                                                                                                                                                                                                                                      1. Bone Matrix
                                                                                                                                                                                                                                                                                                                                                                                        1. Osteoblasts and Osteoclasts
                                                                                                                                                                                                                                                                                                                                                                                          1. Bone Remodeling Cycle
                                                                                                                                                                                                                                                                                                                                                                                          2. Joint Function and Movement
                                                                                                                                                                                                                                                                                                                                                                                            1. Joint Types
                                                                                                                                                                                                                                                                                                                                                                                              1. Range of Motion
                                                                                                                                                                                                                                                                                                                                                                                                1. Biomechanics of Movement
                                                                                                                                                                                                                                                                                                                                                                                          3. Foundational Chemistry
                                                                                                                                                                                                                                                                                                                                                                                            1. General Chemistry Principles
                                                                                                                                                                                                                                                                                                                                                                                              1. Atomic Structure
                                                                                                                                                                                                                                                                                                                                                                                                1. Electron Configuration
                                                                                                                                                                                                                                                                                                                                                                                                  1. Atomic Orbitals
                                                                                                                                                                                                                                                                                                                                                                                                  2. Chemical Bonding
                                                                                                                                                                                                                                                                                                                                                                                                    1. Ionic Bonding
                                                                                                                                                                                                                                                                                                                                                                                                      1. Covalent Bonding
                                                                                                                                                                                                                                                                                                                                                                                                        1. Metallic Bonding
                                                                                                                                                                                                                                                                                                                                                                                                          1. Intermolecular Forces
                                                                                                                                                                                                                                                                                                                                                                                                          2. Chemical Reactions and Stoichiometry
                                                                                                                                                                                                                                                                                                                                                                                                            1. Reaction Types
                                                                                                                                                                                                                                                                                                                                                                                                              1. Balancing Equations
                                                                                                                                                                                                                                                                                                                                                                                                                1. Limiting Reagents
                                                                                                                                                                                                                                                                                                                                                                                                                  1. Yield Calculations
                                                                                                                                                                                                                                                                                                                                                                                                                  2. Acids, Bases, and Buffers
                                                                                                                                                                                                                                                                                                                                                                                                                    1. pH and pOH
                                                                                                                                                                                                                                                                                                                                                                                                                      1. Acid-Base Theories
                                                                                                                                                                                                                                                                                                                                                                                                                        1. Buffer Systems
                                                                                                                                                                                                                                                                                                                                                                                                                          1. Henderson-Hasselbalch Equation
                                                                                                                                                                                                                                                                                                                                                                                                                          2. Solutions and Concentrations
                                                                                                                                                                                                                                                                                                                                                                                                                            1. Molarity
                                                                                                                                                                                                                                                                                                                                                                                                                              1. Molality
                                                                                                                                                                                                                                                                                                                                                                                                                                1. Mole Fraction
                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Colligative Properties
                                                                                                                                                                                                                                                                                                                                                                                                                                2. Organic Chemistry
                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Functional Groups
                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Hydrocarbons
                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Alkanes
                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Alkenes
                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Alkynes
                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Aromatic Compounds
                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Oxygen-containing Groups
                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Alcohols
                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Ethers
                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Aldehydes
                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Ketones
                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Carboxylic Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Esters
                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Nitrogen-containing Groups
                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Amines
                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Amides
                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Nitriles
                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Biomolecules
                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Carbohydrates
                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Monosaccharides
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Glucose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Fructose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Galactose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Disaccharides
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Sucrose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Lactose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Maltose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Polysaccharides
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Starch
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Glycogen
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Cellulose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Lipids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Fatty Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Saturated Fatty Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Unsaturated Fatty Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Triglycerides
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Phospholipids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Steroids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Cholesterol
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Steroid Hormones
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Proteins
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Amino Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Essential Amino Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Non-essential Amino Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Amino Acid Properties
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Peptide Bonds
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Protein Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Primary Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Secondary Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Tertiary Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Quaternary Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Nucleic Acids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Nucleotides
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Purines
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Pyrimidines
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Phosphate Groups
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. DNA Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. RNA Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2. Biochemistry
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Enzyme Kinetics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Enzyme Structure and Function
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Active Site
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Cofactors and Coenzymes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Enzyme Classification
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Michaelis-Menten Kinetics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Km and Vmax
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Lineweaver-Burk Plot
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Enzyme Efficiency
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2. Enzyme Inhibition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Competitive Inhibition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Non-competitive Inhibition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Uncompetitive Inhibition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Allosteric Regulation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Positive Regulation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Negative Regulation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Cooperative Binding
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Metabolic Pathways
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Glycolysis
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Glucose Phosphorylation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Pyruvate Formation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. ATP Generation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Citric Acid Cycle
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Acetyl-CoA Entry
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. NADH and FADH2 Production
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. CO2 Release
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Oxidative Phosphorylation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Electron Transport Chain
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. ATP Synthase
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Chemiosmotic Theory
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Photosynthesis
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Light Reactions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Calvin Cycle
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Chloroplast Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Metabolic Regulation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Anabolic Pathways
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Catabolic Pathways
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Metabolic Control
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      3. Foundational Physics and Engineering Mechanics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Classical Mechanics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Statics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Forces and Equilibrium
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Force Vectors
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Moment and Torque
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Static Equilibrium Conditions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2. Free-Body Diagrams
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Force Identification
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Diagram Construction
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Problem-Solving Methods
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Dynamics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Newton's Laws of Motion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. First Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Second Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Third Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Work, Energy, and Power
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Work-Energy Theorem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Kinetic Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Potential Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Conservation of Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Momentum and Impulse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Linear Momentum
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Conservation of Momentum
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Impulse-Momentum Theorem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Electricity and Magnetism
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Electric Charge and Coulomb's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Electric Charge Properties
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Force Between Charges
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Superposition Principle
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Electric Fields and Potentials
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Electric Field Definition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Electric Potential
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Equipotential Surfaces
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Electric Circuits
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Ohm's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Series Circuits
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Parallel Circuits
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Kirchhoff's Laws
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Magnetism and Electromagnetic Induction
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Magnetic Fields
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Faraday's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Lenz's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Electromagnetic Applications
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Thermodynamics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Laws of Thermodynamics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Zeroth Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. First Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Second Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Third Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Energy Conservation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Internal Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Enthalpy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Work and Heat
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Heat Transfer Mechanisms
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Conduction
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Fourier's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Thermal Conductivity
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Convection
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Natural Convection
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Forced Convection
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Radiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Stefan-Boltzmann Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Emissivity
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Entropy and Free Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Entropy Definition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Gibbs Free Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Spontaneous Processes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Fluid Mechanics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Properties of Fluids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Density
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Viscosity
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Compressibility
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Surface Tension
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Fluid Statics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Hydrostatic Pressure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Buoyancy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Archimedes' Principle
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Fluid Dynamics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Continuity Equation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Bernoulli's Principle
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Flow Characteristics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Laminar Flow
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Turbulent Flow
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Reynolds Number
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Viscous Flow
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Poiseuille's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Flow in Tubes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Drag Forces
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2. Mass and Energy Balances
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Conservation of Mass
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Mass Balance Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Steady-State Systems
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Transient Systems
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Conservation of Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Energy Balance Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Heat Generation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Energy Storage
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Control Volume Analysis
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. System Boundaries
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Input and Output Streams
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Accumulation Terms
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Applications in Biological Systems
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Metabolic Balances
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Reactor Design
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Process Optimization
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Foundational Mathematics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Calculus
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Limits and Continuity
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Limit Definition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Limit Laws
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Continuity Conditions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2. Differentiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Derivative Definition
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Differentiation Rules
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Chain Rule
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Implicit Differentiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Integration
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Antiderivatives
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Definite Integrals
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Integration Techniques
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Applications in Rate Processes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Rate of Change
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Optimization Problems
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2. Differential Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. First-Order Differential Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Separable Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Linear Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Exact Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Second-Order Differential Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Homogeneous Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Non-homogeneous Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Characteristic Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Systems of Differential Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Linear Systems
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Phase Plane Analysis
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Stability Analysis
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Applications in Biological Modeling
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Population Dynamics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Pharmacokinetics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Enzyme Kinetics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Linear Algebra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Vectors and Matrices
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Vector Operations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Matrix Operations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Matrix Types
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2. Matrix Operations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Addition and Subtraction
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Multiplication
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Inverse and Transpose
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Eigenvalues and Eigenvectors
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Characteristic Polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Diagonalization
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Linear Systems of Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Gaussian Elimination
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Matrix Methods
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Solution Techniques
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Probability and Statistics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Descriptive Statistics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Measures of Central Tendency
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Measures of Variability
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Data Visualization
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Probability Distributions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Discrete Distributions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Continuous Distributions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Normal Distribution
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Hypothesis Testing
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Null and Alternative Hypotheses
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Test Statistics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. P-values
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Type I and Type II Errors
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Regression and Correlation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Linear Regression
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Correlation Coefficients
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Model Validation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Experimental Design and Data Analysis
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Design of Experiments
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. ANOVA
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Statistical Software