A cell population model structured by cell age incorporating cell-cell adhesion

Author: 

Dyson, J
webb, G

Publication Date: 

20 October 2014

Last Updated: 

2018-11-29T09:41:24.307+00:00

abstract: 

An analysis is given of a continuum model of a proliferating cell population, which incorporates cell movement in space and cell progression through the cell cycle. The model consists of a nonlinear partial differential equation for the cell density in the spatial position and the cell age coordinates. The equation contains a diffusion term corresponding to random cell movement, a nonlocal dispersion term corresponding to cell-cell adhesion, a cell age dependent boundary condition corresponding to cell division, and a nonlinear logistic term corresponding to constrained population growth. Basic properties of the
solutions are proved, including existence, uniqueness, positivity, and long-term behavior dependent on parametric input. The model is llustrated by simulations applicable to in vitro wound closure experiments, which are widely used for experimental testing of cancer therapies.

Symplectic id: 

525504

Submitted to ORA: 

Not Submitted

Publication Type: 

Chapter

ISBN-13: 

9781493904570

ISBN-10: 

1493904574