Title :
Bifurcation analysis of a membrane model for ventricular myocytes
Author :
Tilg, B. ; Wach, P. ; Reitmair, G.
Author_Institution :
Dept. of Biophys., Graz Univ. of Technol., Austria
fDate :
31 Oct-3 Nov 1996
Abstract :
The objective is to perform a bifurcation analysis of a modified Beeler-Reuter membrane model for ventricular myocytes for studying the structural stability of attractors. For the integration of the stiff nonlinear differential equation system the hybrid integration algorithm is applied. The time constant τh of the inactivation gate h is used as bifurcation parameter. Results are shown in the time domain, in the phase space as well as in a bifurcation diagram
Keywords :
bioelectric potentials; biomembrane transport; cardiology; muscle; nonlinear differential equations; physiological models; attractors; bifurcation analysis; bifurcation diagram; cardiac electrophysiology; hybrid integration algorithm; inactivation gate; membrane model; modified Beeler-Reuter membrane model; phase space; stiff nonlinear differential equation system; structural stability; time constant; time domain; ventricular myocytes; Bifurcation; Biomedical engineering; Biomembranes; Biophysics; Calcium; Differential equations; Mathematical model; Pacemakers; Sequences; Structural engineering;
Conference_Titel :
Engineering in Medicine and Biology Society, 1996. Bridging Disciplines for Biomedicine. Proceedings of the 18th Annual International Conference of the IEEE
Conference_Location :
Amsterdam
Print_ISBN :
0-7803-3811-1
DOI :
10.1109/IEMBS.1996.647573
