An age and spatially structured model of tumor invasion with haptotaxis II

Author: 

Dyson, J
Villella-Bressan, R
Webb, G

Publication Date: 

1 April 2008

Journal: 

Mathematical Population Studies

Last Updated: 

2019-09-10T22:45:09.657+01:00

Issue: 

2

Volume: 

15

DOI: 

10.1080/08898480802010159

page: 

73-95

abstract: 

An analysis of a model of tumor growth into surrounding tissue is continued from an earlier treatment, in which the global existence of unique solutions to the model was established. The model consists of a system of nonlinear partial differential equations for the population densities of tumor cells, extracellular matrix macromolecules, oxygen concentration, and extracellular matrix degradative enzyme concentration. The spatial growth of the tumor involves the directed movement of tumor cells toward the extracellular matrix through haptotaxis. Cell age is used to track progression of cells through the cell cycle. Regularity, positivity, and global bounds of the solutions of the model are proved.

Symplectic id: 

18228

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article