DYNAMICS OF ROTATING VORTICES IN THE BEELER-REUTER MODEL OF CARDIAC TISSUE

被引:83
作者
EFIMOV, IR
KRINSKY, VI
JALIFE, J
机构
[1] UNIV PITTSBURGH, SCH MED, DEPT PHYSIOL, PITTSBURGH, PA 15261 USA
[2] UNIV NICE, INST NONLINEAR NICE, CNRS, UMR 129, F-06034 NICE, FRANCE
[3] SUNY HLTH SCI CTR, DEPT PHARMACOL, SYRACUSE, NY 13210 USA
关键词
D O I
10.1016/0960-0779(95)95761-F
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Cardiac muscle is a highly nonlinear active medium which may undergo rotating vortices of electrical activity. We have studied vortex dynamics using a detailed mathematical model of cardiac muscle based an the Beeler-Reuter equations. Specifically, we have investigated the dependence of vortex dynamics on parameters of the excitable cardiac cell membrane in a homogeneous isotropic medium. The results demonstrate that there is a transition from the vortex with circular core that is typical of most excitable media, including the Belousov-Zhabotinsky reaction, to a vortex with linear core that has been observed in heart muscle during so-called reentrant arrhythmias. The transition is net direct but goes through the well-known sequence of nonstationary quasiperiodic rotating vortices. In the parameter space there are domains of different types of vortex dynamics. Such domains include regions where: (1) vortices can not be generated, (2) vortices occur readily, and (3) vortices arise but have a short lifetime. The results provide testable predictions about dynamics associated with initiation, maintenance and termination of cardiac arrhythmias.
引用
收藏
页码:513 / 526
页数:14
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