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

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.

Keywords

• reaction-diffusion systems
• fitzhugh-nagumo model
• pattern formation
• cellular automata