B5: Control of multiscale reaction-diffusion patterns and application to biomembranes and cardiac dynamics

Principal investigator:

Prof. Dr. Markus Bär [1]

Project summary:

Multiscale pattern formation refers either to the simultaneous appearance of competing unstable modes with different critical wavelengths or to the interaction of pattern formation with spatial heterogeneities. This project will focus on control strategies in order to obtain desired or suppress unwanted patterns in multiscale reaction-diffusion systems. We plan (i) to study simple generic models to develop appropriate control methods like time delay and nonlocal coupling and (ii) to consider control of patterns on biomembranes as well as during pathological cardiac dynamics as applications for multiscale systems.