Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans

被引:8
作者
Dai, Shu [1 ]
Schaeffer, David G. [2 ,3 ]
机构
[1] Ohio State Univ, Math Biosci Inst, Columbus, OH 43210 USA
[2] Duke Univ, Dept Math, Durham, NC 27708 USA
[3] Duke Univ, Ctr Nonlinear & Complex Syst, Durham, NC 27708 USA
基金
美国国家卫生研究院; 美国国家科学基金会;
关键词
VENTRICULAR-FIBRILLATION; STRANGE ATTRACTORS; SPATIOTEMPORAL CHAOS; EXCITABLE MEDIA; SPIRAL BREAKUP; TURBULENCE; MODEL; DYNAMICS; RESTITUTION; POTENTIALS;
D O I
10.1063/1.3456058
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Instabilities in cardiac dynamics have been widely investigated in recent years. One facet of this work has studied chaotic behavior, especially possible correlations with fatal arrhythmias. Previously chaotic behavior was observed in various models, specifically in the breakup of spiral and scroll waves. In this paper we study cardiac dynamics and find spatiotemporal chaotic behavior through the Echebarria-Karma modulation equation for alternans in one dimension. Although extreme parameter values are required to produce chaos in this model, it seems significant mathematically that chaos may occur by a different mechanism from previous observations. (C) 2010 American Institute of Physics. [doi:10.1063/1.3456058]
引用
收藏
页数:8
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