Exact mean-field theory explains the dual role of electrical synapses in collective synchronization

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• dc.contributor.author Montbrió, Ernest, 1974-
• dc.contributor.author Pazó, Diego
• dc.date.accessioned 2021-03-22T08:37:29Z
• dc.date.available 2021-03-22T08:37:29Z
• dc.date.issued 2020
• dc.description.abstract Electrical synapses play a major role in setting up neuronal synchronization, but the precise mechanisms whereby these synapses contribute to synchrony are subtle and remain elusive. To investigate these mechanisms mean-field theories for quadratic integrate-and-fire neurons with electrical synapses have been recently put forward. Still, the validity of these theories is controversial since they assume that the neurons produce unrealistic, symmetric spikes, ignoring the well-known impact of spike shape on synchronization. Here, we show that the assumption of symmetric spikes can be relaxed in such theories. The resulting mean-field equations reveal a dual role of electrical synapses: First, they equalize membrane potentials favoring the emergence of synchrony. Second, electrical synapses act as “virtual chemical synapses,” which can be either excitatory or inhibitory depending upon the spike shape. Our results offer a precise mathematical explanation of the intricate effect of electrical synapses in collective synchronization. This reconciles previous theoretical and numerical works, and confirms the suitability of recent low-dimensional mean-field theories to investigate electrically coupled neuronal networks.
• dc.description.sponsorship We acknowledge support by the Agencia Estatal de Investigación and Fondo Europeo de Desarrollo Regional under Projects No. PID2019-109918GB-I00 and No. FIS2016-74957-P (AEI/FEDER, EU).
• dc.format.mimetype application/pdf
• dc.identifier.citation Montbrió E, Pazó D. Exact mean-field theory explains the dual role of electrical synapses in collective synchronization. Phys Rev Lett. 2020 Dec 11; 125(24). DOI: 10.1103/PhysRevLett.125.248101
• dc.identifier.doi http://dx.doi.org/10.1103/PhysRevLett.125.248101
• dc.identifier.issn 0031-9007
• dc.identifier.uri http://hdl.handle.net/10230/46877
• dc.language.iso eng
• dc.publisher American Physical Society
• dc.relation.ispartof Phys Rev Lett. 2020 Dec 11; 125(24): 248101
• dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/PID2019-109918GB-I00
• dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/FIS2016-74957-P
• dc.rights © American Physical Society. Published article available at https://doi.org/10.1103/PhysRevLett.125.248101
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.subject.keyword Electrical Synapses
• dc.subject.keyword Membrane Potentials
• dc.subject.keyword Neurons
• dc.subject.keyword Synaptic Transmission
• dc.title Exact mean-field theory explains the dual role of electrical synapses in collective synchronization
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion