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

Robert Artebrant | Zendy

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

Author(s) -

Robert Artebrant

Publication year - 2009

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2009/292183

Subject(s) - hopf bifurcation , bifurcation , complement (music) , domain (mathematical analysis) , bounded function , reaction–diffusion system , mathematics , diffusion , bifurcation theory , mathematical analysis , statistical physics , physics , thermodynamics , nonlinear system , chemistry , biochemistry , quantum mechanics , complementation , gene , phenotype

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 automaticcells 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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