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An isotropic cellular automaton for excitable media

Author

Listed:
  • Nishiyama, A.
  • Tanaka, H.
  • Tokihiro, T.

Abstract

We propose a new cellular automaton (CA) model, which reproduces isotropic time-evolution patterns observed in the Belousov–Zhabotinsky reaction. Although several CA models have been proposed exhibiting isotropic patterns of the reaction, most of them need complicated rules and a large number of neighboring cells. Our model can produce isotropic patterns from a simple probabilistic rule among a few (4 or 8) neighboring cells.

Suggested Citation

  • Nishiyama, A. & Tanaka, H. & Tokihiro, T., 2008. "An isotropic cellular automaton for excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3129-3136.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:13:p:3129-3136
    DOI: 10.1016/j.physa.2008.01.096
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    Cited by:

    1. Badoual, M. & Derbez, P. & Aubert, M. & Grammaticos, B., 2009. "Simulating the migration and growth patterns of Bacillus subtilis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 549-559.

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