Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/90452
Title: A Viscoelastic Model for Glioma Growth
Authors: Branco, João
Ferreira, José Augusto
Oliveira, Paula de
Keywords: Glioma, Viscoelastic Behaviour, Mathematical Model, Numerical Simulation.
Issue Date: 2013
Publisher: SciTePress
Citation: R. Branco J., Ferreira J. and de Oliveira P. (2013). A Viscoelastic Model for Glioma Growth . In Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: BIOMED, (SIMULTECH 2013) ISBN 978-989-8565-69-3, pages 689-695. DOI: 10.5220/0004632406890695
Project: PEst-C/MAT/UI0324/2011 
Series/Report no.: Volume 1;
Serial title, monograph or event: Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2013)
Volume: I
Place of publication or event: Reykjav'ik, Iceland
Abstract: In this paper we propose a mathematical model to describe the evolution of glioma cells in the brain taking into account the viscoelastic properties of brain tissue. The mathematical model is established considering that the glioma cells are of two phenotypes: migratory and proliferative. The evolution of the migratory cells is described by a diffusion-reaction equation of non Fickian type deduced considering a mass conservation law with a non Fickian migratory mass flux. The evolution of the proliferation cells is described by a reaction equation. Numerical simulations that illustrate the behaviour of the mathematical model are included.
URI: http://hdl.handle.net/10316/90452
DOI: 10.5220/0004632406890695
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos e Resumos em Livros de Actas

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