Dr. Frédéric Paquin-Lefebvre, École Normale Supérieure de Paris
Abstract: Motivated by the spatial segregation of intracellular proteins between the cytoplasm and the cellular membrane, we investigate the spatio-temporal dynamics of bulk-surface coupled models. For such models, a passive diffusion process occurring inside a bounded domain is coupled to a nonlinear reaction-diffusion process restricted to the boundary. A variety of idealized bulk geometries are considered, that consist of 1-D intervals and 2-D circular domains. Our emphasis is on the analysis of bifurcations, which characterize the onset of qualitative changes in the overall dynamics resulting from parameters crossing through critical values. A combination of analytical and numerical methods are employed to determine the stability of bifurcating solutions.
For Zoom meeting information, please contact Dr. Jia Gou