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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Feng, Jonathan

Managing Editor: Lesna-Szreter, Paulina

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IMPACT FACTOR 2016 (Open Physics): 0.745
IMPACT FACTOR 2016 (Central European Journal of Physics): 0.765

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Volume 5, Issue 4

Issues

Stochastic cellular automata modeling of excitable systems

Tamás Szakály / István Lagzi / Ferenc Izsák
  • Institute of Mathematics, Eötvös University, 1117, Budapest, Pázmány P. stny. 1/C, Hungary
  • Department of Applied Mathematics, University of Twente, 7500 AE, Enschede, The Netherlands
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/ László Roszol / András Volford
Published Online: 2007-12-01 | DOI: https://doi.org/10.2478/s11534-007-0032-7

Abstract

A stochastic cellular automaton is developed for modeling waves in excitable media. A scale of key features of excitation waves can be reproduced in the presented framework such as the shape, the propagation velocity, the curvature effect and spontaneous appearance of target patterns. Some well-understood phenomena such as waves originating from a point source, double spiral waves and waves around some obstacles of various geometries are simulated. We point out that unlike the deterministic approaches, the present model captures the curvature effect and the presence of target patterns without permanent excitation. Spontaneous appearance of patterns, which have been observed in a new experimental system and a chemical lens effect, which has been reported recently can also be easily reproduced. In all cases, the presented model results in a fast computer simulation.

Keywords: Belousov-Zhabotinsky reaction; stochastic model; front propagation; cellular automata

PACS: 82.20.-w; 82.20.wt; 82.40.Ck; 82.40.Qt

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About the article

Published Online: 2007-12-01

Published in Print: 2007-12-01


Citation Information: Open Physics, Volume 5, Issue 4, Pages 471–486, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-007-0032-7.

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