Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh‐Nagumo Kinetics

Robert Artebrant

Journal of Applied Mathematics, 2009, vol. 2009, issue 1

Abstract: 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.

Date: 2009
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https://doi.org/10.1155/2009/292183

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2009:y:2009:i:1:n:292183

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