Cellular automaton model of three-dimensional excitable media

1996 ◽  
Vol 92 (16) ◽  
pp. 2883 ◽  
Author(s):  
Chris Henze ◽  
John J. Tyson
Keyword(s):  
Cellular Automaton ◽  
Three Dimensional ◽  
Cellular Automaton Model ◽  
Excitable Media

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.

A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing

2018 ◽  
Vol 61 (5) ◽  
pp. 543-558 ◽  
Author(s):  
Yanping Lian ◽  
Stephen Lin ◽  
Wentao Yan ◽  
Wing Kam Liu ◽  
Gregory J. Wagner
Keyword(s):  
Additive Manufacturing ◽  
Cellular Automaton ◽  
Grain Growth ◽  
Three Dimensional ◽  
Cellular Automaton Model

A three-dimensional cellular automaton model for dendritic growth in multi-component alloys

2012 ◽  
Vol 60 (5) ◽  
pp. 2249-2257 ◽  
Author(s):  
Xianfei Zhang ◽  
Jiuzhou Zhao ◽  
Hongxiang Jiang ◽  
Mingfang Zhu
Keyword(s):  
Cellular Automaton ◽  
Dendritic Growth ◽  
Three Dimensional ◽  
Cellular Automaton Model

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

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

A stable cellular automaton model for composite materials with defects

2018 ◽  
Vol 70 (7) ◽  
pp. 1320-1325
Author(s):  
Jun Wu ◽  
Zhangcan Huang
Keyword(s):  
Composite Material ◽  
Composite Materials ◽  
Cellular Automaton ◽  
Design Methodology ◽  
Three Dimensional ◽  
Cellular Automaton Model ◽  
Material Surface ◽  
Content Type ◽  
Wear Process ◽  
Base Materials

Purpose As the internal defects (pore defect) of materials formed during the preparation of the composite material have important effects on wear process, the model has been improved to simulate it. Design/methodology/approach Materials with defects were simulated by an improved cellular automaton model which show changes in three-dimensional topography, temperature of surface and coefficient of friction (COF) during wear process. Findings It is found that defects increase temperature of material surface. Besides, the materials with little defects have a smaller COF than base materials, as the large block defects make the COF larger than base materials. Originality/value Except for effects of defects were simulated in model, how to initialize the surface temperature status that many reports do not take into account can be preferred. And the model is convenient to simulate complex composite materials by setting different properties of cells.

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