Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (2): 1-6.

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The Qualitative Study for a Cellular Automata Model with Two Variables

DENG Min-yi, TAN Hui-li   

  1. College of Physics and Technology,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2013-02-20 Online:2013-06-20 Published:2018-11-26

Abstract: 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 dynamicsof nonlinear waves in myocardium.The results of the computer simulations displaythe dispersion relation and the curvature effect,which are analyzed withsingular perturbation theory and proved in the experiment.On the other hand,thecomputer simulation with such Cellular Automaton showed the keeping of the target waves.The mechanism of this phenomenon is also discussed.

Key words: excitable medium, Cellular Automata, dispersion relation, curvature effect, target waves

CLC Number: 

  • O547
[1] NASHA M P,PANFILOV A V.Electromechanical model of excitable tissueto study reentrant cardiac arrhythmias[J].Progress in Biophysics and Molecular Biology,2004,85:501.
[2] WOLFRAM S.Cellular automata as models of complexity[J].Nature,1984,311:419-424.
[3] 谭惠丽,刘慕仁,孔令江.十字路口红绿灯的控制效应[J].广西师范大学学报:自然科学版,2008,26(2):18-21.
[4] 梁玉娟.从动能损失看弯道路段的通行能力[J].四川师范大学学报:自然科学版,2011,34(3):355-359.
[5] 邝华,孔令江,刘慕仁.VDR混合交通流模型的研究[J].四川师范大学学报:自然科学版,2011,30(5):619-622.
[6] 陈永淇,白克钊,邝华,等.教室内布局对人员疏散影响的研究[J].广西师范大学学报:自然科学版,2011,29(1):1-5.
[7] 刘慕仁,孔令江.用12 bit格子气自动机模型模拟静止流和Couette流的温度分布[J].物理学报,1993,42(6):874-879.
[8] 刘慕仁,邓敏艺,孔令江.舆论传播的元胞自动机模型(Ⅰ)[J].广西师范大学学报:自然科学版,2002,20(2):1-3.
[9] 田兴玲,刘慕仁,郭俊华.小世界网络上的差额选举模型[J].郑州大学学报:理学版,2008,40(2):60-65.
[10] 张立升,邓敏艺,孔令江,等.用元胞自动机模型研究二维激发介质中的行波[J].广西师范大学学报:自然科学版,2009,27(2):9-12.
[11] MAKOWIEC D.Cellular automata model of cardiac pacemaker[J].ActaPhysica Polonica B,2008,39(5):1067-1085.
[12] MAKOWIEC D.Modeling the sinoatrial node by cellular automata withirregular topology[J].International Journal of Modern Physics C,2010,21(1):107-127.
[13] GREEN J M,HASTING S P.Spatial patterns for discrete models of diffusion in excitable media[J].SIAM J Appl Math,1978,34(3):515-523.
[14] GERHARDT M,SCHUSTER H,TYSON J J.A cellular automaton model of excitable media including curvature and dispersion[J].Science,1990,247:1563-1566.
[15] VLADIMIR Z S,WINFREE A T.Simulation of wave processes in excitable media[M].Manchester:Manchester University Press,1987.
[16] FOERSTER P,MULLER S C,HESS B.Critical size and curvature of waveformation in an excitable chemical medium[J].Proc Natl Acad Sci,1989,86:6831-6834.
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