Genetic Toggle Switch: Synthetic Biology Example

Related lectures (26)

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

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

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

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

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

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

Explores modeling gene expression, fixed points analysis, and stability in biological systems.

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

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

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

Explores stability properties and fixed points in discrete time solutions.

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

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

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Page 1 of 2