Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves

Idris, I., Simitev, R. and Biktashev, V.N. (2006) Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves. Computers in Cardiology, 33, pp. 213-216.

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Abstract

We consider applications of a recently suggested new asymptotic approach to detailed ionic models of cardiac excitation. First, we describe a three-variable approximation for the excitation fronts in a detailed ionic model of human atrial kinetics. It predicts not only the speed of the fronts but also a condition for failure of propagation, i.e. gives an operational definition of absolute refractoriness. This prediction is confirmed by direct simulations of the full model. Next, we consider problem of initiation of excitation waves, using a piecewise linear caricature of the INa-driven excitation front. We identify the unstable propagating front solution (“critical front”) as the threshold event between successful initation and decay, which plays a role similar to the “critical nucleus” in the theory of initiation of waves in the FitzHugh-Nagumo system.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Simitev, Dr Radostin
Authors: Idris, I., Simitev, R., and Biktashev, V.N.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Computers in Cardiology
Publisher:IEEE Computer Society
ISSN:0276-6574
Copyright Holders:Copyright © 2007 IEEE Computer Society
First Published:First published in Computers in Cardiology 33:213-216
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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