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2009 Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh-Nagumo Kinetics
Robert Artebrant
J. Appl. Math. 2009: 1-17 (2009). DOI: 10.1155/2009/292183


We study Hopf bifurcation solutions to the Monodomain model equipped with FitzHugh-Nagumo cell dynamics. This reaction-diffusion system plays an important role in the field of electrocardiology as a tractable mathematical model of the electrical activity in the human heart. In our setting the (bounded) spatial domain consists of two subdomains: a collection of automatic cells surrounded by collections of normal cells. Thus, the cell model features a discontinuous coefficient. Analytical techniques are applied to approximate the time-periodic solution that arises at the Hopf bifurcation point. Accurate numerical experiments are employed to complement our findings.


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Robert Artebrant. "Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh-Nagumo Kinetics." J. Appl. Math. 2009 1 - 17, 2009.


Published: 2009
First available in Project Euclid: 2 March 2010

zbMATH: 1194.35044
MathSciNet: MR2574707
Digital Object Identifier: 10.1155/2009/292183

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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