Single Neuron Models - II
This lesson continues a thorough description of the concepts, theories, and methods involved in the modeling of single neurons.
- Phase plane solutions
- Eigenvalue examples
- Stable and unstable manifolds
- Stable and unstable nodes
- Phase portrait for a neuron, at rest and with current
- Bifurcation diagram
- Limit cycles
- Hopf bifurcation theorem
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 neurosciences. Knowledge of differential equations. Some familiarity with dynamical systems concepts and/or linear algebra (stability, equilibrium, matrices, finding eigenvalues).