An age and spatially structured model of tumor invasion with haptotaxis

Author: 

Dyson, J
Sanchez, E
Villella-Bressan, R
Webb, G

Publication Date: 

July 2007

Journal: 

DISCRETE CONT DYN-B

Last Updated: 

2020-01-12T05:29:57.437+00:00

Issue: 

1

Volume: 

8

page: 

45-60

abstract: 

A model of tumor growth into surrounding tissue is analyzed. The model consists of a system of nonlinear partial differential equations for the populations 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. The existence of unique global solutions is proved using the theory of fractional powers of analytic semigroup generators.

Symplectic id: 

18941

Submitted to ORA: 

Not Submitted

Publication Type: 

Conference Paper