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Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions

Published online by Cambridge University Press:  01 April 2008

CHRISTOPH WALKER
CHRISTOPH WALKER*
Affiliation:
Leibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, D-30167 Hannover, Germany email: [email protected]
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Abstract

A model focusing on key components involved in tumour invasion is studied. Tumour cell migration is based on cell motility and haptotaxis, i.e., the directed migratory response of tumour cells up gradients of cell-adhesion molecules. Individual cell processes are modelled according to cell age and several tumour phenotypes are incorporated. Global existence and uniqueness of nonnegative solutions to the corresponding coupled system of nonlinear partial differential equations are shown.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 19 , Issue 2 , April 2008 , pp. 113 - 147
Copyright
Copyright © Cambridge University Press 2008

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