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2007 Global well-posedness of a haptotaxis model with spatial and age structure
Christoph Walker
Differential Integral Equations 20(9): 1053-1074 (2007).

Abstract

A system of non-linear partial differential equations modeling tumor invasion into surrounding healthy tissue is analyzed. The model incorporates haptotaxis, i.e., the directed migratory response of tumor cells to the extracellular environment, as well as spatial and age structure of the tumor cells. Global existence and uniqueness of non-negative solutions is shown.

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Christoph Walker. "Global well-posedness of a haptotaxis model with spatial and age structure." Differential Integral Equations 20 (9) 1053 - 1074, 2007.

Information

Published: 2007
First available in Project Euclid: 20 December 2012

zbMATH: 1212.35222
MathSciNet: MR2349380

Subjects:
Primary: 35K57
Secondary: 35B30 , 92C17 , 92D25

Rights: Copyright © 2007 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.20 • No. 9 • 2007
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