Pattern formation in reaction-diffusion cellular automata with extended two-species interactions

Vertebrate skin patterns such as stripes and spots are formed autonomously. In this paper, we found that 2-dimensional patterns not seen in the continuous and the previous Cellular Automata (CA) models appear by imposing nonlinearity on the two-species interaction of CA model that forms the pattern. This extension is a framework that can be used for other CA models and can be a useful tool to investigate the interaction details regarding pattern formation.

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Publication Details

Journal
Nonlinear Theory and Its Applications IEICE
Published
2024-12-31
DOI
https://doi.org/10.1587/nolta.16.184
Primary Topic
Cellular Automata and Applications
Type
article
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article

Pattern formation in reaction-diffusion cellular automata with extended two-species interactions

Tadashi Tsubone, Takayuki Nagashima
Nonlinear Theory and Its Applications IEICE
Cellular Automata and Applications
article

Pattern formation in reaction-diffusion cellular automata with extended two-species interactions

Tadashi Tsubone, Takayuki Nagashima
article en

Abstract

Vertebrate skin patterns such as stripes and spots are formed autonomously. In this paper, we found that 2-dimensional patterns not seen in the continuous and the previous Cellular Automata (CA) models appear by imposing nonlinearity on the two-species interaction of CA model that forms the pattern. This extension is a framework that can be used for other CA models and can be a useful tool to investigate the interaction details regarding pattern formation.

Nonlinear Theory and Its Applications IEICEVol. 16(1)
Nagaoka University (JP), Nagaoka University of Technology (JP)
Life in Land
Openalex Percentile: Top 71%
Cellular Automata and Applications
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