Afficher la notice abrégée

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUMONT, Grégory
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierSIgnals and SYstems in PHysiology & Engineering [SISYPHE]
dc.contributor.authorHENRY, Jacques
dc.date.accessioned2024-04-04T02:24:56Z
dc.date.available2024-04-04T02:24:56Z
dc.date.created2011-08
dc.date.issued2012-06-20
dc.identifier.issn0303-6812
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189848
dc.description.abstractEnIn this paper we study the well-posedness of different models of population of leaky integrate- and- re neurons with a population density approach. The synaptic interaction between neurons is modeled by a potential jump at the reception of a spike. We study populations that are self excitatory or self inhibitory. We distinguish the cases where this interaction is instantaneous from the one where there is a repartition of conduction delays. In the case of a bounded density of delays both excitatory and inhibitory population models are shown to be well-posed. But without conduction delay the solution of the model of self excitatory neurons may blow up. We analyze the di erent behaviours of the model with jumps compared to its di usion approximation.
dc.language.isoen
dc.publisherSpringer
dc.subject.enPopulation density approach
dc.subject.enNeural network
dc.subject.enCoupled population
dc.subject.enIntegrate-and-fire
dc.subject.enNonlocal nonlinear partial differential equation
dc.subject.enWell-posedness
dc.title.enPopulation density models of integrate-and- fire neurons with jumps: Well-posedness
dc.typeArticle de revue
dc.identifier.doi10.1007/s00285-012-0554-5
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Mathematical Biology
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00711492
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00711492v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Biology&rft.date=2012-06-20&rft.eissn=0303-6812&rft.issn=0303-6812&rft.au=DUMONT,%20Gr%C3%A9gory&HENRY,%20Jacques&rft.genre=article


Fichier(s) constituant ce document

FichiersTailleFormatVue

Il n'y a pas de fichiers associés à ce document.

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée