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Pulse propagation in discrete systems of coupled excitable cells

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dc.contributor.authorCarpio Rodríguez, Ana María
dc.contributor.authorBonilla, Luis L.
dc.date.accessioned2023-06-20T16:50:38Z
dc.date.available2023-06-20T16:50:38Z
dc.date.issued2002
dc.description.abstractPropagation of pulses in myelinated fibers may be described by appropriate solutions of spatially discrete FitzHugh-Nagumo systems. In these systems, propagation failure may occur if either the coupling between nodes is not strong enough or the recovery is too fast. We give an asymptotic construction of pulses for spatially discrete FitzHugh-Nagumo systems, which agrees well with numerical simulations, and discuss the evolution of initial data into pulses and pulse generation at a boundary. Formulas for the speed and length of pulses are also obtained.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDirectorate General for Higher Education (Portugal)
dc.description.sponsorshipMadrid Ciencia y Tecnología
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipUnión Europea
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15044
dc.identifier.citationCarpio Rodríguez, A. M. y Bonilla, L. L. «Pulse Propagation in Discrete Systems of Coupled Excitable Cells». SIAM Journal on Applied Mathematics, vol. 63, n.o 2, enero de 2003, pp. 619-35. DOI.org (Crossref), https://doi.org/10.1137/S0036139901391732.
dc.identifier.doi10.1137/S0036139901391732
dc.identifier.issn0036-1399
dc.identifier.officialurlhttps://doi.org/10.1137/S0036139901391732
dc.identifier.relatedurlhttp://www.siam.org/journals/siap/63-2/39173.html
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57208
dc.issue.number2
dc.journal.titleSIAM Journal on applied mathematics
dc.language.isoeng
dc.page.final635
dc.page.initial619
dc.publisherSociety for Industrial and Applied Mathematics
dc.relation.projectIDPB98-0142-C04-01
dc.relation.projectIDBFM2002-04127-C02
dc.relation.projectIDRTN2-2001-00349
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.cdu519.2
dc.subject.keywordDiscrete reaction-diffusion equations
dc.subject.keywordTraveling wave pulses
dc.subject.keywordPropagation failure
dc.subject.keywordSpatially discrete FitzHugh–Nagumo system
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1209 Estadística
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titlePulse propagation in discrete systems of coupled excitable cellsen
dc.typejournal article
dc.volume.number63
dspace.entity.typePublication
relation.isAuthorOfPublicationf301b87d-970b-4da8-9373-fef22632392a
relation.isAuthorOfPublication.latestForDiscoveryf301b87d-970b-4da8-9373-fef22632392a

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