Title :
Driving patterns of a large non-pacemaker cell by a small pacemaker cell: Associated chaotic and coexisting states
Author :
Landau, M. ; Bardou, AL
Author_Institution :
CNRS at INRIA, Rocquencourt, France
fDate :
6/21/1905 12:00:00 AM
Abstract :
This study deals with the various driving patterns of a large non-pacemaker (NPM) cell (or tissue) by a smaller pacemaker (PM) focus. We used the coupling resistance (CR) as a continuation-bifurcation parameter and a typical cell size ratio of 0.3. Bistability, tristability and associated hysteresis phenomena were evidenced between n:p responses on various computed bifurcated branches. In narrow ranges of value of CR, two types of irregular dynamics can also be found. A classical period doubling bifurcation route and a non-classical (2n+1: n) route both lead to chaos. Thus the interaction between loading phenomena and intercellular coupling may provide a new theoretical framework for interpretation of ectopic focus induced ventricular arrhythmia and fibrillation
Keywords :
bifurcation; biocontrol; bioelectric potentials; biological tissues; cardiovascular system; cellular transport; chaos; hysteresis; physiological models; bistability; cell size ratio; chaotic states; classical period doubling bifurcation route; coexisting states; continuation-bifurcation parameter; coupling resistance; driving patterns; ectopic focus induced ventricular arrhythmia; fibrillation; focus; hysteresis phenomena; intercellular coupling; irregular dynamics; large nonpacemaker cell; loading phenomena; nonclassical route; small pacemaker cell; tissue; tristability; Bifurcation; Cardiac tissue; Chaos; Chromium; Conductivity; Extraterrestrial phenomena; Fibrillation; Hysteresis; Numerical simulation; Pacemakers;
Conference_Titel :
Computers in Cardiology, 1999
Conference_Location :
Hannover
Print_ISBN :
0-7803-5614-4
DOI :
10.1109/CIC.1999.826023