Finite size effect induces stochastic gamma oscillation in inhibitory network with conduction delay
© Dumont et al; licensee BioMed Central Ltd. 2014
Published: 21 July 2014
Cortical gamma frequency (30-100 Hz) are known to be associated with many cognitive processes. Understanding the dynamics in the gamma band is crucial in neuroscience. Stochastic gamma oscillations due to finite size effects were reported using the stochastic Wilson-Cowan model ( and ). On the other hand, temporal correlation can be induced by excitation  as well as inhibition . Especially, oscillations induced by the conduction delay of the inhibitory feedback is a possible mechanism (,  and ) for gamma rhythms. We investigate the role of both finite size effects and the conduction delay on the emergence of gamma oscillations in an inhibitory all-to-all neural network. To this end, we expand the recently proposed linear noise approximation (LNA) technique to this non-markovian ”delay” case . This allows us to compute a theoretical expression for the power spectrum of the population activity. Our analytical result is in good agreement with the power spectrum obtained via numerical simulations for a range of parameters.
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