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

AUTOR(ES)

Othmer, H G

RESUMO

We propose a reaction-diffusion model 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. Furthermore, patterns other than the polar pattern that usually arises first in a growing one-dimensional system described by Turing's model can be obtained. Evidence is given that suggests that the model may apply in the slug stage of Dictyostelium discoideum.

Documentos Relacionados

• On the dynamics of a forced reaction-diffusion model for biological pattern formation.
• Segmented spiral waves in a reaction-diffusion system
• Analysis of Reaction-Diffusion Systems with Anomalous Subdiffusion
• Critical behavior in reaction-diffusion systems exhibiting absorbing phase transitions
• A chemical approach to designing Turing patterns in reaction-diffusion systems.