Neural Oscillations, Weak Coupling, and Networks
In this lesson you will learn about fundamental neural phenomena such as oscillations and bursting, and the effects these have on cortical networks.
- Hopf bifurcation
- The bistable region
- Class-II excitability
- Limit cycles and action potentials
- Saddle nodes
- Examples of neural models: Leaky Integrate-and-fire model, quadratic integrate-and-fire model
- Saddle node infinite cycle (SNIC)
Some familiarity with the electrical properties of neurons, for instance the (longer) introductory lectures in Cellular Mechanisms of Brain Function or the (shorter) tutorial series on Basic Mathematics for Computational Neuroscience. Knowledge of differential equations. Some familiarity with dynamical systems concepts and/or linear algebra (stability, equilibrium, matrices, finding eigenvalues).