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A Density Model for a Population of Theta Neurons

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUMONT, Gregory
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorHENRY, Jacques
hal.structure.identifierFaculty of Computer Science [Iași]
dc.contributor.authorTARNICERIU, Carmen Oana
dc.date.accessioned2024-04-04T03:20:25Z
dc.date.available2024-04-04T03:20:25Z
dc.date.created2013-01-15
dc.date.issued2014-04-17
dc.identifier.issn2190-8567
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194587
dc.description.abstractEnPopulation density models that are used to describe the evolution of neural populations in a phase space are closely related to the single neuron model that describes the individual trajectories of the neurons of the population and which give in particular the phase-space where the computations are made. Based on a transformation of the quadratic integrate and fire single neuron model, the so-called theta-neuron model is obtained and we shall introduce in this paper a corresponding population density model for it. Existence and uniqueness of a solution will be proved and some numerical simulations are presented. The results of existence are compared to previous results of existence or nonexistence (burst) for populations of leaky integrate and fire neurons.
dc.language.isoen
dc.publisherBioMed Central
dc.title.enA Density Model for a Population of Theta Neurons
dc.typeArticle de revue
dc.identifier.doi10.1186/2190-8567-4-2
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Mathematical Neuroscience
bordeaux.volume4
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01068536
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01068536v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Neuroscience&rft.date=2014-04-17&rft.volume=4&rft.issue=2&rft.eissn=2190-8567&rft.issn=2190-8567&rft.au=DUMONT,%20Gregory&HENRY,%20Jacques&TARNICERIU,%20Carmen%20Oana&rft.genre=article


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