Propagation Failure Along Myelinated Nerves

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dc.contributor.authorCarpio Rodríguez, Ana María
dc.contributor.authorPeral, I.
dc.date.accessioned2023-06-20T00:09:47Z
dc.date.available2023-06-20T00:09:47Z
dc.date.issued2011
dc.description.abstractPropagation of traveling pulses in the myelinated Hodgkin-Huxley model is studied. The nerve impulse is a traveling wave with two components. At the Ranvier nodes, it behaves as a discrete traveling pulse. Wave motion through the internodal regions is then driven by this traveling pulse. We give analytical characterizations of the parameter ranges for which nerve impulses fail to propagate by exploiting time scale separation and the active node approximation, which reduces the dynamics of infinite fibers to the evolution of a few nodes. Simple recipes to predict the speed of the impulses and the widths of their peaks are also given. Predictions are in good agreement with the information provided by numerical simulations.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.sponsorshipComunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14867
dc.identifier.citationCarpio Rodríguez, A. M., y Peral, I. «Propagation Failure Along Myelinated Nerves». Journal of Nonlinear Science, vol. 21, n.o 4, agosto de 2011, pp. 499-520. DOI.org (Crossref), https://doi.org/10.1007/s00332-010-9090-x.
dc.identifier.doi10.1007/s00332-010-9090-x
dc.identifier.issn0938-8974
dc.identifier.officialurlhttps://doi.org/10.1007/s00332-010-9090-x
dc.identifier.relatedurlhttp://www.springerlink.com/content/r54558750281n137/fulltext.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42107
dc.issue.number4
dc.journal.titleJournal of nonlinear science
dc.language.isoeng
dc.page.final520
dc.page.initial499
dc.publisherSpringer
dc.relation.projectIDFIS2008-04921-C02-02
dc.relation.projectIDCM-910143
dc.rights.accessRightsrestricted access
dc.subject.cdu51-76
dc.subject.cdu517.9
dc.subject.keywordTravelling waves
dc.subject.keywordPropagation failure
dc.subject.keywordMyelinated nerves
dc.subject.keywordReaction–diffusion systems
dc.subject.ucmBiomatemáticas
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco2404 Biomatemáticas
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titlePropagation Failure Along Myelinated Nervesen
dc.typejournal article
dc.volume.number21
dspace.entity.typePublication
relation.isAuthorOfPublicationf301b87d-970b-4da8-9373-fef22632392a
relation.isAuthorOfPublication.latestForDiscoveryf301b87d-970b-4da8-9373-fef22632392a

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