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

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.