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

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

2011-10-19

arxiv.org/abs/1110.4307v1

ROMAI J., 6, 2(2010), 27-39

Mathematics

Numerical Analysis

Presented at the 18th Conference on Applied and Industrial Mathematics - CAIM 2010, Ia\c{s}i, Romania, October 14-17, 2010;

Scientific paper

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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