Abstract
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.
Original language | English |
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Pages (from-to) | 1517-1561 |
Number of pages | 45 |
Journal | Journal of Mathematical Biology |
Volume | 75 |
Issue number | 6-7 |
Early online date | 12 Apr 2017 |
DOIs | |
Publication status | Published - Dec 2017 |
Keywords
- Strucutred population model
- Spatio-temporal model
- Cell-surface receptors
- Cancer invasion