A Microscopic Spiking Neuronal Network for the Age-Structured Model

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dc.contributor.authorQuininao, Cristobal
dc.date.accessioned2025-01-23T21:28:10Z
dc.date.available2025-01-23T21:28:10Z
dc.date.issued2016
dc.description.abstractWe introduce a microscopic spiking network consistent with the age-structured/renewal equation proposed by Pakdaman, Perthame and Salort. It is a jump process interacting through a set of global activity variables with random delays. We show the well-posedness of the particle system and the mean-field equation. Moreover, by studying the tightness of the empirical measure, we prove the propagation of chaos property. Eventually, we quantify the rate of convergence by using the coupling method.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s10440-016-0056-3
dc.identifier.eissn1572-9036
dc.identifier.issn0167-8019
dc.identifier.urihttps://doi.org/10.1007/s10440-016-0056-3
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101401
dc.identifier.wosidWOS:000387588200003
dc.issue.numero1
dc.language.isoen
dc.pagina.final55
dc.pagina.inicio29
dc.revistaActa applicandae mathematicae
dc.rightsacceso restringido
dc.subjectChaos propagation
dc.subjectMean-field limits
dc.subjectNeuronal networks
dc.subjectAge structured model
dc.subjectPoisson coupling
dc.titleA Microscopic Spiking Neuronal Network for the Age-Structured Model
dc.typeartículo
dc.volumen146
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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