Calculus of Variations and Geometric Measure Theory

Role of spatial heterogeneity in a reaction-diffusion system modeling biological pattern formation

Izumi Takagi

created by malchiodi on 26 Oct 2015

5 nov 2015 -- 14:00   [open in google calendar]

Scuola Normale Superiore, Aula Bianchi Scienze

Abstract.

Reaction-diffusion systems are introduced to model spontaneous formation of spatial pattern from uniform states. However, in real biological systems, morphogenetic movements often take place in spatially heterogeneous environments. In this talk we study how spatial heterogeneity affects the location of concentration points for a single equation. Based on this knowledge we then consider to what extent we can control the location of concentration points in a two-component system.