Concept
Éléments de mathématique
Related lectures (15)
Phase Portraits and Predator-Prey Models
Explores phase portraits in 2D systems and the dynamics of predator-prey models.
Limit Cycles and Excitable Systems
Explores limit cycles, excitable systems, positive feedback, and phase locking in human circadian rhythms.
Bistability in Genetic Networks
Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.
Numerical Modeling of Solids and Structures
Covers the basics of numerical modeling of solids and structures.
Mathematical Analysis of Genetic Circuits
Explores the mathematical analysis of genetic circuits and the implementation of synthetic plasmids in E. coli, focusing on the concept of limit cycle oscillators.
Diffusion Equation: Gaussian Solutions
Explores Gaussian solutions for the diffusion equation, ecological models, and morphogen gradients in biological systems.
Analysis Reminder: Open Sets and Denseness
Reviews open sets, denseness, real numbers, convergence, curves, continuity, and derivatives in analysis.
Genetic Circuits and Mechanical Analogies
Explores genetic circuits, negative feedback, and mechanical analogies for spatial problems, including cell coupling and mRNA regulation.
Propagation of Fronts in 1D
Explores the propagation of fronts in 1D systems using a mechanical analogy and bistable systems.
Positive Definite Matrices
Covers positive definite matrices and their properties, focusing on strict positivity of principal minors.