Analysis of the stability of attractors for cardiac membrane models

Author

Tilg, B. ; Wach, P. ; Reitmair, G. ; Lafer, G.

Author_Institution

Dept. of Biophys., Graz Univ. of Technol., Austria

fYear

1996

Firstpage

621

Lastpage

624

Abstract

A bifurcation analysis of a modified Beeler-Reuter membrane model for ventricular myocytes is presented for studying the 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. It is shown that the qualitative properties of dynamic (beat-to-beat interval of the action potential time series, attractor in the d-f phase space) vary significant with a variation in τ_h and with the initial value of the membrane potential. Scale-invariant period doubling sequences are found in restricted intervals of τ_h

Keywords

bioelectric potentials; biomembranes; cardiology; cellular biophysics; nonlinear differential equations; physiological models; action potential time series; attractors stability; beat-to-beat interval; bifurcation analysis; bifurcation parameter; cardiac membrane models; d-f phase space; hybrid integration algorithm; inactivation gate; membrane potential; modified Beeler-Reuter membrane model; scale-invariant period doubling sequences; stiff nonlinear differential equation system; time constant; ventricular myocytes; Bifurcation; Biomedical engineering; Biomembranes; Biophysics; Calcium; Differential equations; Fractals; Mathematical model; Pacemakers; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Computers in Cardiology, 1996

Conference_Location

Indianapolis, IN

ISSN

0276-6547

Print_ISBN

0-7803-3710-7

Type

conf

DOI

10.1109/CIC.1996.542613

Filename

542613