Venue: FIAS Hörsaal
Prof. Dr. Alf Gerisch will give a talk on March 6th, 11 am, at FIAS 100. An abstract can be found below:
PDE models of collective cell migration, for instance of taxis-diffusion-reaction type, can lead to the aggregation of cells beyond any biologically meaningful bound. This can be alleviated, e.g., by considering volume filling taxis terms and/or by considering nonlocal interactions to model effects like cell-cell and -matrix adhesion or contact-inhibition of locomotion. Furthermore, in those models, cell random motility is often included in the form of Fick's law of diffusion which is unreasonable in crowded tissue regions; considering cross-diffusion can lead to more realistic, in some instances surprising results. I will in this talk discuss these concepts from a modelling and a numerical perspective.