Biomechanics and Rehabilitation Engineering

  1. Computational Biomechanics
    1. Mathematical Modeling
      1. Model Development Process
        1. Problem Definition
          1. Model Assumptions
            1. Parameter Identification
              1. Model Validation
              2. Types of Models
                1. Lumped Parameter Models
                  1. Distributed Parameter Models
                    1. Multiscale Models
                    2. Model Complexity
                      1. Simple vs Complex Models
                        1. Trade-offs in Modeling
                      2. Musculoskeletal Modeling
                        1. Rigid Body Models
                          1. Segment Definition
                            1. Joint Constraints
                              1. Degrees of Freedom
                              2. Muscle Modeling
                                1. Hill-Type Muscle Models
                                  1. Activation Dynamics
                                    1. Contraction Dynamics
                                    2. Forward Dynamics
                                      1. Equations of Motion
                                        1. Numerical Integration
                                          1. Simulation Software
                                          2. Inverse Dynamics
                                            1. Joint Moment Calculation
                                              1. Muscle Force Estimation
                                                1. Optimization Techniques
                                                2. Static Optimization
                                                  1. Cost Functions
                                                    1. Constraint Equations
                                                      1. Solution Methods
                                                      2. Dynamic Optimization
                                                        1. Optimal Control Theory
                                                          1. Direct Collocation
                                                            1. Shooting Methods
                                                          2. Finite Element Analysis
                                                            1. FEA Fundamentals
                                                              1. Discretization
                                                                1. Shape Functions
                                                                  1. Element Types
                                                                  2. Mesh Generation
                                                                    1. Structured Meshes
                                                                      1. Unstructured Meshes
                                                                        1. Mesh Quality Metrics
                                                                          1. Mesh Convergence
                                                                          2. Material Models
                                                                            1. Linear Elastic Models
                                                                              1. Nonlinear Material Models
                                                                                1. Viscoelastic Models
                                                                                  1. Anisotropic Models
                                                                                  2. Boundary Conditions
                                                                                    1. Displacement Constraints
                                                                                      1. Force Loading
                                                                                        1. Contact Conditions
                                                                                        2. Solution Methods
                                                                                          1. Linear Solvers
                                                                                            1. Nonlinear Solvers
                                                                                              1. Time Integration
                                                                                              2. Post-Processing
                                                                                                1. Stress Analysis
                                                                                                  1. Strain Analysis
                                                                                                    1. Visualization Techniques
                                                                                                  2. Computational Fluid Dynamics
                                                                                                    1. Blood Flow Modeling
                                                                                                      1. Boundary Conditions
                                                                                                        1. Turbulence Modeling
                                                                                                        2. Respiratory Mechanics
                                                                                                          1. Airflow in Airways
                                                                                                            1. Gas Exchange Modeling
                                                                                                          2. Machine Learning Applications
                                                                                                            1. Pattern Recognition
                                                                                                              1. Gait Pattern Classification
                                                                                                                1. Movement Quality Assessment
                                                                                                                2. Predictive Modeling
                                                                                                                  1. Injury Risk Prediction
                                                                                                                    1. Performance Optimization
                                                                                                                    2. Deep Learning
                                                                                                                      1. Neural Networks
                                                                                                                        1. Convolutional Neural Networks
                                                                                                                          1. Recurrent Neural Networks

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                                                                                                                      7. Biomechanical Measurement Techniques

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                                                                                                                      9. Pathomechanics and Clinical Biomechanics