A selection criterion for patterns in reaction¿diffusion systems
Conclusions:
Our criterion is proved rigorously in some situations, generalizing well-known results for the scalar equation where the pattern selection process can be understood in terms of a potential. In more complex settings it is investigated numerically. Our work constitutes a first step towards rigorous pattern prediction in arbitrary geometries/conditions. Advances in this direction are highly applicable to the efficient design of Biotechnology and Developmental Biology experiments, as well as in simplifying the analysis of morphogenetic models.
Source: Theoretical Biology and Medical Modelling - Category: Biomedical Science Authors: Tatiana Marquez-LagoPablo Padilla Source Type: research