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oai:recercat.cat:2072/4600742024-11-04T02:03:23Zcom_2072_98col_2072_378192

Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks Devalle, Federico Roxin, Alex Montbrió, Ernest Recurrently coupled networks of inhibitory neurons robustly generate oscillations in the gamma band. Nonetheless, the corresponding Wilson-Cowan type firing rate equation for such an inhibitory population does not generate such oscillations without an explicit time delay. We show that this discrepancy is due to a voltage-dependent spike-synchronization mechanism inherent in networks of spiking neurons which is not captured by standard firing rate equations. Here we investigate an exact low-dimensional description for a network of heterogeneous canonical Class 1 inhibitory neurons which includes the sub-threshold dynamics crucial for generating synchronous states. In the limit of slow synaptic kinetics the spike-synchrony mechanism is suppressed and the standard Wilson-Cowan equations are formally recovered as long as external inputs are also slow. However, even in this limit synchronous spiking can be elicited by inputs which fluctuate on a time-scale of the membrane time-constant of the neurons. Our meanfield equations therefore represent an extension of the standard Wilson-Cowan equations in which spike synchrony is also correctly described. 2024-11-04T02:03:23Z 2024-11-04T02:03:23Z 2024-11-04T02:03:23Z 2017 Article http://hdl.handle.net/2072/460074 European Commission 642563 Ministerio de Economía y Competitividad PSI2016-75688-P Ministerio de Economía y Competitividad BFU2012-33413 Ministerio de Economía y Competitividad PCIN-2015-127 Ministerio de Economía y Competitividad MTM2015-71509 PLoS computational biology ; Vol. 13, Issue 12 (December 2017), art. e1005881 open access Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. https://creativecommons.org/licenses/by/4.0/