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Turing patterns on a sphere.

C Varea·J L Aragón·R A Barrio
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Abstract

We address the problem of pattern formation on the surface of a sphere using Turing equations. By considering a generic reaction-diffusion model, we numerically investigate the patterns formed under different conditions on the parameter values. Our results show that a closed surface with curvature, as a sphere, imposes geometrical restrictions on the shape of the pattern. This is important in some biological systems where curvature plays an important role in guiding chemical, biochemical, and embryological processes.

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Biophysical PhenomenaBiophysicsDiffusionModels, BiologicalModels, TheoreticalSoftwareJournal ArticleResearch Support, Non-U.S. Gov't

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C Varea, J L Aragón, R A Barrio. 1999. Turing patterns on a sphere.. https://doi.org/10.1103/physreve.60.4588

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