Co-existent activity patterns in inhibitory neuronal networks with short-term synaptic depression

Document Type

Article

Publication Date

3-7-2011

Abstract

A network of two neurons mutually coupled through inhibitory synapses that display short-term synaptic depression is considered. We show that synaptic depression expands the number of possible activity patterns that the network can display and allows for co-existence of different patterns. Specifically, the network supports different types of n-m anti-phase firing patterns, where one neuron fires n spikes followed by the other neuron firing m spikes. When maximal synaptic conductances are identical, n-n anti-phase firing patterns are obtained and there are conductance intervals over which different pairs of these solutions co-exist. The multitude of n-m anti-phase patterns and their co-existence are not found when the synapses are non-depressing. Geometric singular perturbation methods for dynamical systems are applied to the original eight-dimensional model system to derive a set of one-dimensional conditions for the existence and co-existence of different anti-phase solutions. The generality and validity of these conditions are demonstrated through numerical simulations utilizing the Hodgkin-Huxley and Morris-Lecar neuronal models. © 2010 Elsevier Ltd.

Identifier

78650371437 (Scopus)

Publication Title

Journal of Theoretical Biology

External Full Text Location

https://doi.org/10.1016/j.jtbi.2010.12.001

e-ISSN

10958541

ISSN

00225193

PubMed ID

21145899

First Page

42

Last Page

54

Issue

1

Volume

272

Grant

DBI-0340687

Fund Ref

National Science Foundation

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