Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks

Devalle, Federico and Roxin, Alex and Montbrió, Ernest (2017) Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks. PLoS Computational Biology, 13 (12). ISSN 1553-734X

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Abstract

Author summary Population models describing the average activity of large neuronal ensembles are a powerful mathematical tool to investigate the principles underlying cooperative function of large neuronal systems. However, these models do not properly describe the phenomenon of spike synchrony in networks of neurons. In particular, they fail to capture the onset of synchronous oscillations in networks of inhibitory neurons. We show that this limitation is due to a voltage-dependent synchronization mechanism which is naturally present in spiking neuron models but not captured by traditional firing rate equations. Here we investigate a novel set of macroscopic equations which incorporate both firing rate and membrane potential dynamics, and that correctly generate fast inhibition-based synchronous oscillations. In the limit of slow-synaptic processing oscillations are suppressed, and the model reduces to an equation formally equivalent to the Wilson-Cowan model.

Item Type:
Journal Article
Journal or Publication Title:
PLoS Computational Biology
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1300/1312
Subjects:
ID Code:
140509
Deposited By:
Deposited On:
20 Jan 2020 09:45
Refereed?:
Yes
Published?:
Published
Last Modified:
23 Sep 2020 05:57