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.
- Publication:
-
Physical Review E
- Pub Date:
- October 1999
- DOI:
- 10.1103/PhysRevE.60.4588
- Bibcode:
- 1999PhRvE..60.4588V
- Keywords:
-
- 87.10.+e;
- 47.54.+r;
- 05.70.Ln;
- 82.20.Mj;
- General theory and mathematical aspects;
- Nonequilibrium and irreversible thermodynamics