Development of a Mathematical Model for Patellofemoral Joint Using Finite Element Analysis Techniques

1. Introduction 1.1 Background and Motivation 1.2 Objectives of the Study 1.3 Structure of the Thesis 2. Literature Review 2.1 Anatomy of Patellofemoral Joint 2.2 Mathematical Modeling in Biomechanics 2.3 Finite Element Analysis Overview 3. Methodology 3.1 Model Development Process 3.2 Material Properties Assumptions 3.3 Boundary and Loading Conditions 4. Mathematical Model Formulation 4.1 Governing Equations 4.2 Computational Mesh Design 4.3 Validation and Calibration Approach 5. Finite Element Analysis Techniques 5.1 Meshing Techniques 5.2 Solver Selection and Criteria 5.3 Post-Processing of Results 6. Results and Discussion 6.1 Model Validation Results 6.2 Sensitivity Analysis 6.3 Comparison with Existing Models 7. Applications of the Model 7.1 Clinical Applications 7.2 Research Opportunities 7.3 Limitations and Improvements 8. Conclusion and Future Work 8.1 Summary of Findings 8.2 Contributions to the Field 8.3 Recommendations for Future Research