Limit points and Hopf bifurcation points for a one - parameter dynamical system associated to the Luo - Rudy I model
Numerical Analysis
2013-02-12 v1
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.
Keywords
Cite
@article{arxiv.1302.2467,
title = {Limit points and Hopf bifurcation points for a one - parameter dynamical system associated to the Luo - Rudy I model},
author = {Cătălin Liviu Bichir and Adelina Georgescu and Bogdan Amuzescu and Gheorghe Nistor and Marin Popescu and Maria-Luiza Flonta and Alexandru Dan Corlan and Istvan Svab},
journal= {arXiv preprint arXiv:1302.2467},
year = {2013}
}
Comments
Preprint from October 2010