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dc.contributor.authorSimitev, R. D.en_GB
dc.contributor.authorBiktashev, V. N.en_GB
dc.date.accessioned2012-09-28T17:56:58Zen_GB
dc.date.accessioned2013-03-20T12:25:05Z
dc.date.issued2006en_GB
dc.description.abstractDetailed ionic models of cardiac cells are difficult for numerical simulations because they consist of a large number of equations and contain small parameters. The presence of small parameters, however, may be used for asymptotic reduction of the models. Earlier results have shown that the asymptotics of cardiac equations are nonstandard. Here we apply such a novel asymptotic method to an ionic model of human atrial tissue to obtain a reduced but accurate model for the description of excitation fronts. Numerical simulations of spiral waves in atrial tissue show that wave fronts of propagating action potentials break up and self-terminate. Our model, in particular, yields a simple analytical criterion of propagation block, which is similar in purpose but completely different in nature to the "Maxwell rule" in the FitzHugh-Nagumo type models. Our new criterion agrees with direct numerical simulations of breakup of reentrant waves.en_GB
dc.identifier.citationVol. 90 (7), pp. 2258 - 2269en_GB
dc.identifier.doi10.1529/biophysj.105.072637en_GB
dc.identifier.otherS0006-3495(06)72412-2en_GB
dc.identifier.urihttp://hdl.handle.net/10036/3773en_GB
dc.language.isoengen_GB
dc.relation.urlhttp://dx.doi.org/10.1529/biophysj.105.072637en_GB
dc.subjectAction Potentialsen_GB
dc.subjectAlgorithmsen_GB
dc.subjectComputer Simulationen_GB
dc.subjectDiffusionen_GB
dc.subjectHeart Atriaen_GB
dc.subjectHeart Conduction Systemen_GB
dc.subjectHeart Ventriclesen_GB
dc.subjectHumansen_GB
dc.subjectIonsen_GB
dc.subjectModels, Cardiovascularen_GB
dc.subjectModels, Statisticalen_GB
dc.subjectModels, Theoreticalen_GB
dc.subjectMuscle Cellsen_GB
dc.subjectReproducibility of Resultsen_GB
dc.subjectTime Factorsen_GB
dc.titleConditions for propagation and block of excitation in an asymptotic model of atrial tissue.en_GB
dc.date.available2012-09-28T17:56:58Zen_GB
dc.date.available2013-03-20T12:25:05Z
dc.identifier.issn0006-3495en_GB
exeter.place-of-publicationUnited Statesen_GB
dc.descriptionCopyright © 2006 The Biophysical Societyen_GB
dc.descriptionJournal Articleen_GB
dc.identifier.journalBiophysical Journalen_GB
dc.identifier.journalBiophysical Societyen_GB


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