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

Volume

4

fYear

1996

fDate

31 Oct-3 Nov 1996

Firstpage

1606

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 τ_h 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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/IEMBS.1996.647573

Filename

647573