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arXiv · 1302.2467

Limit points and Hopf bifurcation points 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

A 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. An algorithm used to construct the equilibrium curve is presented. Some test functions are used in order to locate limit points and Hopf bifurcation points. Two extended systems allow to calculate these points. The numerical results are presented in a bifurcation diagram.

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Cătălin Liviu Bichir, Adelina Georgescu, Bogdan Amuzescu, Gheorghe Nistor, Marin Popescu, Maria-Luiza Flonta, Alexandru Dan Corlan, Istvan Svab. 2013-02-11. Limit points and Hopf bifurcation points for a one - parameter dynamical system associated to the Luo - Rudy I model. https://arxiv.org/abs/1302.2467

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