| Loss of phase-locking in non-weakly coupled inhib. networks of type-I neurons (Oh and Matveev 2009) |
| Accession: 118799 |
...
Here we examine the loss of
synchrony caused by an increase in inhibitory coupling
in networks of type-I Morris–Lecar model oscillators,
which is characterized by a period-doubling cascade
and leads to mode-locked states with alternation in the
firing order of the two cells, as reported recently by
Maran and Canavier (J Comput Nerosci, 2008) for a
network of Wang-Buzsáki model neurons.
Although
alternating-order firing has been previously reported as
a near-synchronous state, we show that the stable phase
difference between the spikes of the two Morris–Lecar
cells can constitute as much as 70% of the unperturbed
oscillation period.
Further, we examine the generality
of this phenomenon for a class of type-I oscillators that
are close to their excitation thresholds, and provide
an intuitive geometric description of such “leap-frog”
dynamics.
..."
Reference: Oh M, Matveev V (2009) Loss of phase-locking in non-weakly coupled inhibitory networks of type-I model neurons. J Comput Neurosci 26(2):303-20 [PubMed] |
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MATLAB code for manuscript "Capturing the bursting dynamics..." (2007) Matveev, Bose, Nadim
Note from the ModelDB Administrator: the below is a snapshot of the
authors web site
taken on April 13th, 2009.
| MATLAB code: leap-frog spiking due to non-weak inhibition | |
The MATLAB scripts posted below reproduce any of the activity states shown in Fig. 1 of the
manuscript:
Myongkeun Oh and Victor Matveev (2009)
Loss of phase-locking in non-weakly coupled inhibitory networks of type-I model neurons
Journal of Computational Neuroscince, 26(2): 303-320.
[ DOI ]
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Please place all files in the same directory before running the main simulation script LeapFrogMovie.m
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♦ LeapFrogMovie.m
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This m-script illustrates the geometry of the alternating-order (leap-frog / leader switching) spiking
shown in Figure 1. By changing the parameter variable Params, any of the activity
states in Figure 1 can be reproduced
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♦ MLode.m
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This ODE m-file implements the model equations (Eqs. 1-3).
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♦ Vnullcline.m
| Calculates the V-nullcline; used by the main LeapFrogMovie script above.
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Supported in part by the National Science Foundation grants
DMS 0417416 and DMS 0817703 to Victor Matveev
Victor Matveev
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Last modified: April 12, 2009
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