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.

Please use this identifier to cite or link to this item: http://hdl.handle.net/10036/3773

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Title: Conditions for propagation and block of excitation in an asymptotic model of atrial tissue.
Author: Simitev, R. D.
Biktashev, V. N.
Citation: Vol. 90 (7), pp. 2258 - 2269
Journal: Biophysical JournalBiophysical Society
Date Issued: 2006
URI: http://hdl.handle.net/10036/3773
DOI: 10.1529/biophysj.105.072637
Links: http://dx.doi.org/10.1529/biophysj.105.072637
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.
Description: Copyright © 2006 The Biophysical SocietyJournal Article
Keywords: Action PotentialsAlgorithmsComputer SimulationDiffusionHeart AtriaHeart Conduction SystemHeart VentriclesHumansIonsModels, CardiovascularModels, StatisticalModels, TheoreticalMuscle CellsReproducibility of ResultsTime Factors
ISSN: 0006-3495


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