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.
Physical Review E
- Pub Date:
- October 1999
- General theory and mathematical aspects;
- Nonequilibrium and irreversible thermodynamics