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Biology
Other Biological Fields
Systems Biology
1. Introduction to Systems Biology
2. Mathematical Foundations
3. High-Throughput Experimental Technologies
4. Bioinformatics and Data Analysis
5. Network Biology
6. Mathematical Modeling
7. Dynamic Systems Analysis
8. Multiscale and Spatial Modeling
9. Single-Cell Systems Biology
10. Applications in Systems Medicine
11. Drug Discovery and Development
12. Synthetic Biology
13. Emerging Technologies and Future Directions
14. Ethical and Societal Considerations
7.
Dynamic Systems Analysis
7.1.
System Dynamics Fundamentals
7.1.1.
State Space Representation
7.1.2.
Phase Space Analysis
7.1.3.
Trajectory Analysis
7.2.
Stability and Bifurcations
7.2.1.
Linear Stability Analysis
7.2.1.1.
Jacobian Matrix Analysis
7.2.1.2.
Eigenvalue Classification
7.2.2.
Nonlinear Dynamics
7.2.2.1.
Saddle-Node Bifurcations
7.2.2.2.
Hopf Bifurcations
7.2.2.3.
Pitchfork Bifurcations
7.2.3.
Attractors and Basins
7.2.3.1.
Fixed Points
7.2.3.2.
Limit Cycles
7.2.3.3.
Strange Attractors
7.3.
Biological Oscillations
7.3.1.
Circadian Rhythms
7.3.1.1.
Molecular Clock Mechanisms
7.3.1.2.
Entrainment and Phase Response
7.3.2.
Cell Cycle Oscillations
7.3.2.1.
Checkpoint Controls
7.3.2.2.
Cyclin-CDK Dynamics
7.3.3.
Metabolic Oscillations
7.3.3.1.
Glycolytic Oscillations
7.3.3.2.
Calcium Oscillations
7.4.
Control Theory Applications
7.4.1.
Feedback Control Systems
7.4.1.1.
Negative Feedback
7.4.1.2.
Positive Feedback
7.4.1.3.
Feedforward Control
7.4.2.
Homeostatic Mechanisms
7.4.2.1.
Set Point Regulation
7.4.2.2.
Adaptive Control
7.4.2.3.
Robust Control
7.4.3.
Optimal Control
7.4.3.1.
Pontryagin's Maximum Principle
7.4.3.2.
Dynamic Programming
7.4.3.3.
Model Predictive Control
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8. Multiscale and Spatial Modeling