摘要
实际激发系统通常可由一对偏微分方程来反映,具有两个变量。根据奇异摄动理论的结论,激发介质中非线性波在传播过程中应满足色散关系和曲率效应。本文介绍了一个具有双变量的激发介质元胞自动机模型,利用该模型进行了数值模拟,模拟结果定性体现了色散关系和曲率效应。文中还模拟再现了靶波自维持现象,并对此现象的产生机制进行了分析。
The excitable system can be described by a pair of partial differential equations,and it usually has two variables.This article introduces a Cellular Automaton Model with two variables for the study of the dynamics of nonlinear waves in myocardium.The results of the computer simulations display the dispersion relation and the curvature effect,which are analyzed with singular perturbation theory and proved in the experiment.On the other hand,the computer simulation with such Cellular Automaton showed the keeping of the target waves.The mechanism of this phenomenon is also discussed.
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2013年第2期1-6,共6页
Journal of Guangxi Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(11165004
81060307)
关键词
激发介质
元胞自动机
色散关系
曲率效应
靶波
excitable medium
Cellular Automata
dispersion relation
curvature effect
target waves
