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

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

Abstract

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.

Keywords

Wave Front Percolation Threshold Hexagonal Lattice Excitable Medium Infinite Cluster 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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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