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An Analytically Solvable Asymptotic Model of Atrial Excitability

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posted on 2025-07-30, 14:29 authored by R. D. Simitev, V. N. Biktashev
We report a three-variable simplified model of excitation fronts in human atrial tissue. The model is derived by novel asymptotic techniques <br>ew{from the biophysically realistic model of Courtemanche et al (1998) in extension of our previous similar models. An iterative analytical solution of the model is presented which is in excellent quantitative agreement with the realistic model. It opens new possibilities for analytical studies as well as for efficient numerical simulation of this and other cardiac models of similar structure.

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In: Mathematical Modeling of Biological Systems, Volume II - Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods, edited by Andreas Deutsch, Rafael Bravo de la Parra, Rob J. de Boer, Odo Diekmann, Peter Jagers, Eva Kisdi, Mirjam Kretzschmar, Petr Lansky, and Hans Metz, pp. 289 - 302

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  • Mathematics and Statistics

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