Structured Models of Cell Migration Incorporating Membrane Reactions (Keynote Speaker Talk)

The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological scenarios such as wound healing and cancer. Information about the various structures embedded within these processes enables a detailed exploration of the binding of molecular species to cell-surface receptors within the evolving cell population. In this work we establish a general spatio-temporal-structural framework that enables the description of surface-bound reaction processes coupled with the cell population dynamics. We first provide a general theoretical description for this approach and then illustrate it with concrete examples arising from cancer invasion.