scholarly journals The cellular automaton model for the nonlinear waves in the two-dimensional excitable media

2009 ◽  
Vol 58 (7) ◽  
pp. 4493
Author(s):  
Zhang Li-Sheng ◽  
Deng Min-Yi ◽  
Kong Ling-Jiang ◽  
Liu Mu-Ren ◽  
Tang Guo-Ning
Keyword(s):  
Cellular Automaton ◽  
Nonlinear Waves ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Two Dimensional

A Simple Three-States Cellular Automaton for Modelling Excitable Media

1998 ◽  
Vol 12 (05) ◽  
pp. 601-607 ◽  
Author(s):  
M. Andrecut
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Cellular Automata ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Self Organization ◽  
Partial Differential ◽  
Bz Reaction

Wave propagation in excitable media provides an important example of spatiotemporal self-organization. The Belousov–Zhabotinsky (BZ) reaction and the impulse propagation along nerve axons are two well-known examples of this phenomenon. Excitable media have been modelled by continuous partial differential equations and by discrete cellular automata. Here we describe a simple three-states cellular automaton model based on the properties of excitation and recovery that are essential to excitable media. Our model is able to reproduce the dynamics of patterns observed in excitable media.

scholarly journals Effects of randomization of characteristic times on spiral wave generation in a simple cellular automaton model of excitable media

AIP Advances ◽  
2020 ◽  
Vol 10 (8) ◽  
pp. 085116
Author(s):  
Vincent Vangelista ◽  
Karl Amjad-Ali ◽  
Minhyeok Kwon ◽  
Paulo H. Acioli
Keyword(s):  
Cellular Automaton ◽  
Spiral Wave ◽  
Wave Generation ◽  
Cellular Automaton Model ◽  
Excitable Media

Simulating Self-Reproduction of Cells in a Two-Dimensional Cellular Automaton

2010 ◽  
Vol 22 (5) ◽  
pp. 669-676 ◽  
Author(s):  
Takeshi Ishida ◽  
Keyword(s):  
Synthetic Biology ◽  
Cellular Automaton ◽  
State Transition ◽  
Cellular Automaton Model ◽  
Molecular Machine ◽  
Two Dimensional ◽  
Transition Rules ◽  
State Transition Rules

Clarifying generalized self-reproduction is basic to applications in fields such as molecular machine production in nanotechnology and synthetic biology. The two-dimensional cellular automaton model we developed simulated cellular self-reproduction using a few state transition rules.

A cellular automaton model of excitable media IV. Untwisted scroll rings

1991 ◽  
Vol 50 (2) ◽  
pp. 189-206 ◽  
Author(s):  
Martin Gerhardt ◽  
Heike Schuster ◽  
John J. Tyson
Keyword(s):  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media

Large-scale parallel lattice Boltzmann–cellular automaton model of two-dimensional dendritic growth

2014 ◽  
Vol 185 (3) ◽  
pp. 939-947 ◽  
Author(s):  
Bohumir Jelinek ◽  
Mohsen Eshraghi ◽  
Sergio Felicelli ◽  
John F. Peters
Keyword(s):  
Cellular Automaton ◽  
Lattice Boltzmann ◽  
Dendritic Growth ◽  
Large Scale ◽  
Cellular Automaton Model ◽  
Two Dimensional

A cellular automaton model of excitable media

1990 ◽  
Vol 46 (3) ◽  
pp. 392-415 ◽  
Author(s):  
Martin Gerhardt ◽  
Heike Schuster ◽  
John J. Tyson
Keyword(s):  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media
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