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 allows a detailed exploration of the binding of molecular species to cell-surface receptors within the evolving cell population. In this paper we establish a general spatio-temporal-structural framework that enables the description of molecular binding to cell membranes coupled with the cell population dynamics. We first provide a general theoretical description for this approach and then illustrate it with two examples arising from cancer invasion.
- Strucutred population model
- Spatio-temporal model
- Cell-surface receptors
- Cancer invasion
Domschke, P., Trucu, D., Gerisch, A., & Chaplain, M. A. J. (2017). Structured models of cell migration incorporating molecular binding processes. Journal of Mathematical Biology, 75(6-7), 1517-1561. https://doi.org/10.1007/s00285-017-1120-y