Genetic Toggle Switch: Synthetic Biology Example

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Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.

Explores phase portraits in 2D systems and the dynamics of predator-prey models.

Explores bistability in the cell cycle, emphasizing positive feedback mechanisms and abrupt response transformations.

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

Covers non-linear systems in 2D, focusing on predator-prey models and stability analysis of fixed points.

Explores nonlinear systems through phase portraits in 2D, focusing on vector fields, isoclines, and trajectories.

Covers the Phase Plane Analysis of 2-dimensional neuron models, focusing on nullclines and fixed points.

Explores stability properties and fixed points in discrete time solutions.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.