Differential and Integral Equations

Global well-posedness of a haptotaxis model with spatial and age structure

Christoph Walker

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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.

Article information

Differential Integral Equations, Volume 20, Number 9 (2007), 1053-1074.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K57: Reaction-diffusion equations
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 92C17: Cell movement (chemotaxis, etc.) 92D25: Population dynamics (general)


Walker, Christoph. Global well-posedness of a haptotaxis model with spatial and age structure. Differential Integral Equations 20 (2007), no. 9, 1053--1074. https://projecteuclid.org/euclid.die/1356039311

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