Systems Biology

  1. Dynamic Systems Analysis
    1. System Dynamics Fundamentals
      1. State Space Representation
        1. Phase Space Analysis
          1. Trajectory Analysis
          2. Stability and Bifurcations
            1. Linear Stability Analysis
              1. Jacobian Matrix Analysis
                1. Eigenvalue Classification
                2. Nonlinear Dynamics
                  1. Saddle-Node Bifurcations
                    1. Hopf Bifurcations
                      1. Pitchfork Bifurcations
                      2. Attractors and Basins
                        1. Fixed Points
                          1. Limit Cycles
                            1. Strange Attractors
                          2. Biological Oscillations
                            1. Circadian Rhythms
                              1. Molecular Clock Mechanisms
                                1. Entrainment and Phase Response
                                2. Cell Cycle Oscillations
                                  1. Checkpoint Controls
                                    1. Cyclin-CDK Dynamics
                                    2. Metabolic Oscillations
                                      1. Glycolytic Oscillations
                                        1. Calcium Oscillations
                                      2. Control Theory Applications
                                        1. Feedback Control Systems
                                          1. Negative Feedback
                                            1. Positive Feedback
                                              1. Feedforward Control
                                              2. Homeostatic Mechanisms
                                                1. Set Point Regulation
                                                  1. Adaptive Control
                                                    1. Robust Control
                                                    2. Optimal Control
                                                      1. Pontryagin's Maximum Principle
                                                        1. Dynamic Programming
                                                          1. Model Predictive Control

                                                      Previous

                                                      6. Mathematical Modeling

                                                      Go to top

                                                      Next

                                                      8. Multiscale and Spatial Modeling