Scale-invariance in reaction-diffusion models of spatial pattern formation.

Publisher Website
Google Scholar
Abstract
A reaction-diffusion model was proposed of spatial pattern formation whose solutions can exhibit scale-invariance over any desired range for suitable choices of parameters in the model. The model does not invoke preset polarity or any other ad hoc distinction between cells and provides a solution to the French flag problem without sources at the boundary. Patterns other than the polar pattern that usually arises first in a growing one-dimensional system described by Turning''s model can be obtained. The model may apply in the slug stage of Dictyostelium discoideum.