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