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dc.contributor.authorChizhov A.en_US
dc.contributor.authorCampillo F.en_US
dc.contributor.authorDesroches M.en_US
dc.contributor.authorGuillamon Aen_US
dc.contributor.authorRodrigues S.en_US
dc.date.accessioned2019-07-11T15:54:35Z
dc.date.available2019-07-11T15:54:35Z
dc.date.issued2019
dc.identifier.issn1522-9602
dc.identifier.urihttp://hdl.handle.net/20.500.11824/993
dc.description.abstractThe conductance-based refractory density (CBRD) approach is a parsimonious mathematical-computational framework for modeling interact- ing populations of regular spiking neurons, which, however, has not been yet extended for a population of bursting neurons. The canonical CBRD method allows to describe the firing activity of a statistical ensemble of uncoupled Hodgkin-Huxley-like neurons (differentiated by noise) and has demonstrated its validity against experimental data. The present manuscript generalises the CBRD for a population of bursting neurons; however, in this pilot computational study we consider the simplest setting in which each individual neuron is governed by a piecewise linear bursting dynamics. The resulting popula- tion model makes use of slow-fast analysis, which leads to a novel method- ology that combines CBRD with the theory of multiple timescale dynamics. The main prospect is that it opens novel avenues for mathematical explo- rations, as well as, the derivation of more sophisticated population activity from Hodgkin-Huxley-like bursting neurons, which will allow to capture the activity of synchronised bursting activity in hyper-excitable brain states (e.g. onset of epilepsy).en_US
dc.description.sponsorshipRussian Science Foundation grant (project 16-15- 10201) Spanish grant MINECO-FEDER-UE MTM-2015-71509-C2-2-R Catalan Grant number 2017SGR1049en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherBulletin of Mathematical Biologyen_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationES/2PE/RTI2018-093860-B-C21en_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectneuronal populationen_US
dc.subjectconductance-based refractory density modelen_US
dc.subjectintrinsically bursting neuronen_US
dc.titleConductance-Based Refractory Density Approach for a Population of Bursting Neuronsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/acceptedVersionen_US


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