European Conference on Mathematical and Theoretical Biology (ECMTB 2026)

PDE models for the growth of heterogeneous cell populations: travelling fronts, sharp interfaces, and concentration phenomena

MS142-07

16 Jul 2026, 16:10

20m

02.01 - HS (University of Graz)

Minisymposium Talk Multiscale and Multiphysics Modelling Mechanistic insights from in-vivo and in-vitro data: modelling tissue physiology and pathology away from equilibrium

Speaker

Tommaso Lorenzi (Politecnico di Torino)

Description

In this talk, PDE models for the growth of heterogeneous cell populations will be considered. Both models with discrete phenotype states, which consist of coupled systems of nonlinear PDEs, and models wherein the phenotype enters as a continuous structuring variable, which are formulated as non-local PDEs, will be examined. Focusing on scenarios where cells with different phenotypes are spatially segregated across invading fronts, travelling wave solutions that exhibit sharp interfaces, for the first class of models, and concentration phenomena, for the second class of models, will be studied. The insights into the mechanisms that underpin collective cell migration generated by these mathematical results will be briefly discussed.