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Title: Efficient protocols to control glioma growth
Authors: Branco, João 
Ferreira, José Augusto 
Oliveira, Paula de 
Issue Date: 2013
Publisher: CMMSE
Project: PEstC/MAT/UI0324/2011 
Serial title, monograph or event: Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering - CMMSE 2013
Volume: I
Place of publication or event: Almería, Spain
Abstract: In this paper we consider a mathematical model to describe glioma evolution. The model is established combining the viscoelastic behaviour of the brain tissue with a mass conservation law that takes into account the effect of chemotherapy. For the non Fickian model we establish an upper bound for the tumor mass that leads to a sufficient condition to control tumor growth. Based on the theoretical upper bound, protocol for chemotherapy treatment are proposed. Numerical experiments are included to illustrate the behaviour of the model as well as the efficiency of the presented protocols.
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos e Resumos em Livros de Actas

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