Thackeray 703

Thackeray 502

x48324

bard@pitt.edu

www.pitt.edu/~phase

- Neural Excitability-HTML or PDFs: TEXT and FIGURES
- Neural Networks as Spatio-temporal pattern forming systems
- Review of coupled oscillators

- Homework X%
- Exam Y%
- Project (100-X-Y)%

- Single cells
- Homework 1 and the associated XPP file
- Channels and bifurcations
- Type I; saddle-nodes
- Type II; Hopf bifurcation

- Phaseplanes and reduced models MORE FUN HOMEWORK 2
- Bursting and slow passage through bifurcations
- Numerical bifurcation analysis and phase-planes; Quick tour of qualitative analysis with XPP and bifurcation of HH eqns
- Noise and first-passage Some notes and HW

- Action potential propagation Homework and explanations
- Cable equations
- Linear theory
- Transients and steady states; BVPs
- Green's functions

- Nonlinear fronts
- Singular perturbation and APs
- Stability of pulses and Evans functions

- Cable equations
- Coupled cells
- Weak coupling of oscillators Notes and HW and an ODE file
- Kuramoto theory Strogatz'review
- Weak coupling near bifurcations Homework
- Hopf
- SNIC

- Slow coupling and firing rate reductions

- Slice models/wave propagation
- Single spike assumptions
- Firing rate models

- Asynchronous states
- Neural networks Neural net dynamics - Randy Beer
- Spatial models
- Bumps
- Waves
- Spatially periodic behavior