Analytically solvable asymptotic model of atrial excitability

Simitev, R. and Biktashev, V.N. (2008) Analytically solvable asymptotic model of atrial excitability. In: Deutsch, A. (ed.) Mathematical Modeling of Biological Systems. Series: Modeling and simulation in science, engineering, and technology, 2. Birkhäuser: Boston, USA, pp. 289-302. ISBN 9780817645557 (doi:10.1007/978-0-8176-4556-4_26)

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Publisher's URL: http://dx.doi.org/10.1007/978-0-8176-4556-4_26

Abstract

We report a three-variable simplified model of excitation fronts in human atrial tissue. The model is derived by novel asymptotic techniques \new{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.

Item Type:Book Sections
Status:Published
Glasgow Author(s) Enlighten ID:Simitev, Dr Radostin
Authors: Simitev, R., and Biktashev, V.N.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:Birkhäuser
ISBN:9780817645557

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