INSTABILITIES OF A PROPAGATING PULSE IN A RING OF EXCITABLE MEDIA

被引:179
作者
COURTEMANCHE, M
GLASS, L
KEENER, JP
机构
[1] UNIV ARIZONA,TUCSON,AZ 85717
[2] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112
关键词
D O I
10.1103/PhysRevLett.70.2182
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Instabilities in the circulation of a pulse in a ring of excitable cardiac tissue are analyzed using two different formulations: (1) a reaction-diffusion partial differential equation (PDE) model for cardiac electrical activity using the Beeler-Reuter equations to represent ionic currents in the cardiac cells; (2) a neutral delay-differential equation that we propose as a model for the PDE. Stability analysis and numerical simulation of the delay equation agree with results from simulations of the PDE model.
引用
收藏
页码:2182 / 2185
页数:4
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