- Chapt 3 of the book (page 55-) Morris-Lecar model
- Bifurcations to limit cycles
- Type I/Type II

- Other channels
- Simple models page 55 exercise 4,6,8,9,11,13 (Due wed Feb 15)
- Integrate and fire
- Theta model

- Chapter five - synaptic channels (one day only, no exercises)
- Analysis of Neural excitability and Figures - all about bursting in here!
- We start Noise - chapter 6 A short version of the material
- Here is an XPP file for computing
first passage times for a simple scalar neuron model. The figure
shows some histograms for (red I=0,sigma=0.2;green I=0,sigma=0.4; white
I=-.1,sigma=.2)
- Here is an XPP file for computing
the FI curve for a simple scalar neuron model. The plot shows
the FI curve as sigma goes from 0 to 0.5.
- Here is a very complex XPP file to solve
the first passage BVP using AUTO. The plot shows the results of this
for sigma=1 and 0.1 Note AUTO has a bit of a problem when I is negative and
large.
- The FI curve with noise can be approximated by the following
function. Let F(I) be the deterministic curve and define
L(x,b) =x/(1-exp(-b*x)) As b gets large, L(x,b) approaches the curve max(x,0). So, 1/b is like the amount of noise and FI(I) = F(L(I,b)) is a decent fit. We will use something like this later when we create firing rate models.

- Here is an XPP file for computing
first passage times for a simple scalar neuron model. The figure
shows some histograms for (red I=0,sigma=0.2;green I=0,sigma=0.4; white
I=-.1,sigma=.2)
- Noise related homework: page 153: 1,2 (computer exercise);4,6,8

- Start reading the chapter on oscillators
- HOMEWORK: oscillator chapter: 7,23,26,27. I'd assign many more, but you wouldnt do 'em anyway.

- 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

- Single spike assumptions
- Firing rate models

- Bumps
- Waves
- Spatially periodic behavior