Lattice Boltzmann simulation for the spiral waves in the excitable medium

被引：1
|
作者：
Yan, Guangwu [1 ,2 ]
Yuan, Li [1 ]
机构：
[1] Inst. of Computational Mathematics, Acad. of Math. and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
[2] Department of Mathematics, Jilin University, Changchun 130023, China
来源：
Communications in Nonlinear Science and Numerical Simulation | 2000年 / 5卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Computer simulation - Vibrations (mechanical);
D O I：
10.1016/S1007-5704(00)90026-1
中图分类号：
学科分类号：
摘要：
We propose lattice Boltzmann method for the spiral waves. Using Chapman-Enskog expansion and multiscales technique, we obtain equilibrium distribution functions of the model. As an example, we simulate the Selkov reactions with scratching mark, i. e. using a scratching mark pacemaker, obtained one classical spiral waves.
引用
收藏
页码：147 / 150
相关论文
共 50 条
  • [1] Lattice Boltzmann simulation for the spiral waves in the excitable medium
    Guangwu YAN and Li YUAN (Institute of Computational Mathematics
    e-mail: lyuan＠lsec.cc.ac.cn Department of Mathematics
    Communications in Nonlinear Science & Numerical Simulation, 2000, (04) : 147 - 150
  • [2] CYCLOIDAL CIRCULATION OF SPIRAL WAVES IN EXCITABLE MEDIUM
    ZYKOV, VS
    BIOFIZIKA, 1986, 31 (05): : 862 - 865
  • [3] Spiral waves in a two-layer excitable lattice
    Kazantsev, VB
    Nekorkin, VI
    PROCEEDINGS OF THE 2001 WORKSHOP ON NONLINEAR DYNAMICS OF ELECTRONIC SYSTEMS, 2001, : 125 - 128
  • [4] SPIRAL SELF-WAVES IN A ROUND EXCITABLE MEDIUM
    DAVYDOV, VA
    ZYKOV, VS
    ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1993, 103 (03): : 844 - 856
  • [5] Spiral waves on circular and spherical domains of excitable medium
    Zykov, VS
    Muller, SC
    PHYSICA D, 1996, 97 (1-3): : 322 - 332
  • [6] Spiral waves on circular and spherical domains of excitable medium
    Max-Planck-Inst fuer molekulare, Physiologie, Dortmund, Germany
    Physica D: Nonlinear Phenomena, 1996, 97 (1-3): : 322 - 332
  • [7] KINEMATICS OF UNSTATIONARY SPIRAL WAVES CIRCULATION IN EXCITABLE MEDIUM
    ZYKOV, VS
    BIOFIZIKA, 1987, 32 (02): : 337 - 340
  • [8] Lattice Boltzmann simulation for the energy and entropy of excitable systems
    邓敏艺
    唐国宁
    孔令江
    刘慕仁
    Chinese Physics B, 2011, (02) : 162 - 167
  • [9] Lattice Boltzmann simulation for the energy and entropy of excitable systems
    Deng Min-Yi
    Tang Guo-Ning
    Kong Ling-Jiang
    Liu Mu-Ren
    CHINESE PHYSICS B, 2011, 20 (02)
  • [10] Lattice Boltzmann Simulation for the Spiral Wave Dynamics
    DENG Min-Yi CHEN Rui-Xiong KONG Ling-Jiang LIU Mu-RenCollege of Physcis and Electronic Engineering
    CommunicationsinTheoreticalPhysics, 2007, 48 (10) : 725 - 728
12345