Propagation of Chemical Waves in Discrete Excitable Media: Anisotropic and Isotropic Wave Fronts

  • Christian Kurrer
  • Klaus Schulten
Part of the NATO ASI Series book series (NSSB, volume 244)


Cellular automaton theory has been recognized as a useful tool for the study and the simulation of wave processes in excitable media (see [2]) and presents an alternative to the integration of partial differential equations (pde), as used by Tyson et al. [10]. By incorporating only the most important characteristics of the dynamical system into the automaton rules, one can reproduce the dynamical properties of a large system of coupled nonlinear oscillators within a fraction of the computing time that is needed to integrate numerically corresponding partial differential equations.


Wave Front Percolation Threshold Hexagonal Lattice Excitable Medium Infinite Cluster 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Christian Kurrer
    • 1
  • Klaus Schulten
    • 1
  1. 1.Beckman Institute and Department of PhysicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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