dc.contributor.author |
Devalle, Federico |
dc.contributor.author |
Roxin, Alex |
dc.contributor.author |
Montbrió, Ernest |
dc.date |
2017 |
dc.identifier |
https://ddd.uab.cat/record/254070 |
dc.identifier |
urn:10.1371/journal.pcbi.1005881 |
dc.identifier |
urn:oai:ddd.uab.cat:254070 |
dc.identifier |
urn:pmcid:PMC5764488 |
dc.identifier |
urn:pmc-uid:5764488 |
dc.identifier |
urn:pmid:29287081 |
dc.identifier |
urn:oai:pubmedcentral.nih.gov:5764488 |
dc.identifier |
urn:articleid:15537358v13n12e1005881 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
European Commission 642563 |
dc.relation |
Ministerio de Economía y Competitividad PSI2016-75688-P |
dc.relation |
Ministerio de Economía y Competitividad BFU2012-33413 |
dc.relation |
Ministerio de Economía y Competitividad PCIN-2015-127 |
dc.relation |
Ministerio de Economía y Competitividad MTM2015-71509 |
dc.relation |
PLoS computational biology ; Vol. 13, Issue 12 (December 2017), art. e1005881 |
dc.rights |
open access |
dc.rights |
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. |
dc.rights |
https://creativecommons.org/licenses/by/4.0/ |
dc.title |
Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks |
dc.type |
Article |
dc.description.abstract |
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. |