Conditions for propagation and block of excitation in an asymptotic model of atrial tissue.

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Conditions for propagation and block of excitation in an asymptotic model of atrial tissue.

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dc.contributor.author Simitev, R. D. en_US
dc.contributor.author Biktashev, V. N. en_US
dc.date.accessioned 2012-09-28T17:56:58Z en_US
dc.date.accessioned 2013-03-20T12:25:05Z
dc.date.issued 2006 en_US
dc.description.abstract Detailed 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_US
dc.identifier.citation Vol. 90 (7), pp. 2258 - 2269 en_US
dc.identifier.doi 10.1529/biophysj.105.072637 en_US
dc.identifier.other S0006-3495(06)72412-2 en_US
dc.identifier.uri http://hdl.handle.net/10036/3773 en_US
dc.language.iso eng en_US
dc.relation.url http://dx.doi.org/10.1529/biophysj.105.072637 en_US
dc.subject Action Potentials en_US
dc.subject Algorithms en_US
dc.subject Computer Simulation en_US
dc.subject Diffusion en_US
dc.subject Heart Atria en_US
dc.subject Heart Conduction System en_US
dc.subject Heart Ventricles en_US
dc.subject Humans en_US
dc.subject Ions en_US
dc.subject Models, Cardiovascular en_US
dc.subject Models, Statistical en_US
dc.subject Models, Theoretical en_US
dc.subject Muscle Cells en_US
dc.subject Reproducibility of Results en_US
dc.subject Time Factors en_US
dc.title Conditions for propagation and block of excitation in an asymptotic model of atrial tissue. en_US
dc.date.available 2012-09-28T17:56:58Z en_US
dc.date.available 2013-03-20T12:25:05Z
dc.identifier.issn 0006-3495 en_US
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.place-of-publication United States en_US
dc.description Copyright © 2006 The Biophysical Society en_US
dc.description Journal Article en_US
dc.identifier.journal Biophysical Journal en_US
dc.identifier.journal Biophysical Society en_US


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