Veranstaltungsort: FIAS Hörsaal
Prof. Dr. Alf Gerisch hält am 6. März um 11 Uhr einen Vortrag auf englisch. Eine Kurzbeschreibung finden Sie hier.
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.