TY - JOUR
T1 - Pattern formation of the FitzHugh-Nagumo model
T2 - Cellular automata approach
AU - Asgari, Yazdan
AU - Ghaemi, Mehrdad
AU - Mahjani, Mohammad Ghasem
PY - 2011/11/28
Y1 - 2011/11/28
N2 - 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.
AB - 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.
KW - Cellular automata
KW - FitzHugh-Nagumo model
KW - Pattern formation
KW - Reaction-diffusion systems
UR - http://www.scopus.com/inward/record.url?scp=81855172039&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:81855172039
SN - 1021-9986
VL - 30
SP - 135
EP - 142
JO - Iranian Journal of Chemistry and Chemical Engineering
JF - Iranian Journal of Chemistry and Chemical Engineering
IS - 1
ER -