bifurcating solutions to the monodomain model equipped with fitzhugh-nagumo kinetics
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2009
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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.
| Reference Key |
artebrant2009journalbifurcating
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|---|---|
| Authors | ;Robert Artebrant |
| Journal | Chemico-biological interactions |
| Year | 2009 |
| DOI |
10.1155/2009/292183
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| URL | |
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