Pattern Formation of the FitzHugh-Nagumo Model: Cellular Automata Approach

Document Type : Research Article

Authors

1 Laboratory of Systems Biology and Bioinformatics (LBB), Institute of Biochemistry and Biophysics, University of Tehran, P.O. Box 13145-1384 Tehran, I.R. IRAN

2 Department of Chemistry, Tarbiat Moallem University, P.O. Box 15719-14911 Tehran, I.R. IRAN

3 Department of Chemistry, K.N. Toosi University of Technology, P.O. Box 4416-15875 Tehran, I.R. IRAN

Abstract

FitzHugh-Nagumo (FHN) model is a famous Reaction-Diffusion System which first introduced for the conduction of electrical impulses along a nerve fiber. This model is also considered as an abstract model for pattern formation. Here, we have used the Cellular Automata method to simulate the pattern formation of the FHN model. It is shown that the pattern of this model is very similar to those of a kind of a rabbitfish which implies natural patterns could be based on reaction-diffusion systems. We have also considered the effects of different parameters of the FHN model on changing the initial pattern.

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References

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