Software
A
model of the VS network of the blowfly
James Trousdale and Sam
Carroll developed some code that we obtained from Alexander Borst and
Yishai Elyada. You can
find the code along with instructions on how to use it here.
Neuronal
network
simulations and linear response approximation to the resulting
cross-correlations
This
folder contains the code to simulate a network of EIF
neurons. It also includes code that computes the linear response
kernels for the cells in the network. The correlations between
the cells in the network are computed both from simulations, and
approximated using the linear response properties. Instructions
are provided here,
and
a full description of the problem and the methos can be found in
this paper.
Generation
of
spatio-temporally
correlated spike trains
This code allows for
the generation of spike trains with predefined temporal
cross-correlation functions. It accompanies this
paper
Stochastic
Integrate-and-Fire
Neurons
An implementatioin of the finite volume method for the solution of the
Fokker-Planck equation described in the article with F. Marpeau and A.
Barua
is available at SourceForge.
We have also extended the code
to model two, potentially coupled neurons. The code is avalable here, and the accompanying
documentation can be found here.
Imaging of ripples in
neural tissue
Matlab code for the spatiotemporal patterns obtained using voltage
sensitive dyes is available here
. Documentation is available here.
Nonautonomous Differential
Equations
You can find animations and Mathematica files that accompany my article
with Robert Rosenbaum on nonautomous differential equations here.
Dynamics
in
One
Complex Variable
Yakov Shapiro has written a java applet that illustrates the results in
our paper on singularly perturbed quadratic maps. The applet can be
found
here.
The following is a program that
Yakov Shapiro has developed while working with me in the summer of
2001. We were interested in studying the bifurcations of the
reversible, area preserving complex Henon Map. The program is in
principle able to parse all quadratic polynomial maps in C^2. You can
download the .txt files for information on how to install and use the
program.
The program StCurve.exe will
draw the intersection of the stable manifold of the saddle point of the
Henon Map with a plane that can be specified by the user.
This program will unfortunately
only run on a PC.
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