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arXiv · 1110.4307

Limit cycles by FEM for a one-parameter dynamical system associated to the Luo-Rudy I model

Cătălin Liviu Bichir·Adelina Georgescu·Bogdan Amuzescu·Gheorghe Nistor·Marin Popescu·Maria-Luiza Flonta·Alexandru Dan Corlan·Istvan Svab
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Abstract

An one-parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. Limit cycles are described by the solutions of an extended system. A finite element method time approximation (FEM) is used in order to formulate the approximate problem. Starting from a Hopf bifurcation point, approximate limit cycles are obtained, step by step, using an arc-length-continuation method and Newton's method. Some numerical results are presented.

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Cătălin Liviu Bichir, Adelina Georgescu, Bogdan Amuzescu, Gheorghe Nistor, Marin Popescu, Maria-Luiza Flonta, Alexandru Dan Corlan, Istvan Svab. 2011-10-19. Limit cycles by FEM for a one-parameter dynamical system associated to the Luo-Rudy I model. https://arxiv.org/abs/1110.4307

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