| Two-cell inhibitory network bursting dynamics captured in a one-dimensional map (Matveev et al 2007) |
| Accession: 112914 |
" ... Here
we describe a simple method that allows us to investigate
the existence and stability of anti-phase bursting
solutions in a network of two spiking neurons, each
possessing a T-type calcium current and coupled by
reciprocal inhibition.
We derive a one-dimensional map
which fully characterizes the genesis and regulation of
anti-phase bursting arising from the interaction of the
T-current properties with the properties of synaptic
inhibition. ..."
Reference: Matveev V, Bose A, Nadim F (2007) Capturing the bursting dynamics of a two-cell inhibitory network using a one-dimensional map. J Comput Neurosci 23:169-87 [PubMed] |
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MATLAB code for manuscript "Capturing the bursting dynamics..." (2007) Matveev, Bose, Nadim
| MATLAB code for multistable anti-phase bursting | | | | |
The MATLAB scripts posted below reproduce the simulation results corresponding
to Figs. 1, 10 and 11 of the manuscript:
Victor Matveev, Amitabha Bose, Farzan Nadim
Capturing the bursting dynamics of a two-cell inhibitory network using a
one-dimensional map (2007)
Journal of Computational Neuroscience, 23: 169.
[ Full Text ]
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Please place all files in the same directory before running the main simulation script MultiMovie.m
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♦ MultiMovie.m
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This m-script illustrates the geometry of bursting corresponding to Figs. 1, 10 and 11, in the form of a movie, showing
both the time course and the phase-plane dynamics of the model.
The program prompts the user to select the number of spikes per burst. Only the initial condition
is affected by user input; all parameters are set to fixed values listed in Appendix A1.
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♦ burstODE.m
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This ODE m-file implements the model equations (Eqs. 6). The file follows the standard format used by the built-in
MATLAB ode integrators.
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♦ Vnullcline.m
| Calculates the V-nullcline; used by the main MultiMovie script above.
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Supported in part by the National Science Foundation grants
DMS 0417416 (Victor Matveev), DMS 0615168 (Amitabha Bose)
and the National Institutes of Health grant MH-60605 (Farzan Nadim).
Victor Matveev
This server is running a
Redhat distribution of
Linux.
Last modified: Feb 4, 2007
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