Turing patterns on a sphere.
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.
Varea
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Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 México, D.F., Mexico.
Aragón
J L
JL
Barrio
R A
RA
D055592:Biophysical Phenomena; D001703:Biophysics; D004058:Diffusion; D008954:Models, Biological; D008962:Models, Theoretical; D012984:Software