Lectures related to Bistability in Genetic Networks

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

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

Covers the construction of a genetic toggle switch in Escherichia coli, a key example of synthetic biology.

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

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 one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

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

Covers the stability of discrete time periodic solutions and their properties.

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

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

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

Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.

Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.

Explores the behavior of a 2D neuron model with constant input.

Explores the analysis of phase portraits in 2D systems and the impact of parameter values on system dynamics.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Covers small scale stability conditions and asymptotic behavior around fixed points.