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

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  • Robert Artebrant

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.

Suggested Citation

  • Robert Artebrant, 2009. "Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh-Nagumo Kinetics," Journal of Applied Mathematics, Hindawi, vol. 2009, pages 1-17, December.
    • Handle: RePEc:hin:jnljam:292183
    DOI: 10.1155/2009/292183
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