A therapy inactivating the tumor angiogenic factors

Cristian Morales-Rodrigo

doi:10.3934/mbe.2013.10.185

Article Contents

2013, Volume 10, Issue 1: 185-198. Doi: 10.3934/mbe.2013.10.185

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A therapy inactivating the tumor angiogenic factors

Cristian Morales-Rodrigo^1,

1.
Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Calle Tara s/n, 41012-Seville

Received: April 2012

Revised: September 2012

Published: November 2012

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Abstract

This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds to the tumor angiogenic factors. The main feature of the model under consideration is a nonlinear flux production of tumor angiogenic factors at the boundary of the tumor. It is proved the global existence for the nonlinear system and the effect in the large time behavior of the system for high doses of the therapeutic agent.

Keywords:

Chemotaxis,
anti-angiogenic therapy.

Mathematics Subject Classification: Primary: 92C17; Secondary: 35K57, 92C50.

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References

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