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https://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: | https://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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| File | Description | Size | Format | |
|---|---|---|---|---|
| 2013 - A viscoelastic model for glioma growth - Proceedings SIMULTECH (BIOMED-2013) 689-695.pdf | 182.42 kB | Adobe PDF | View/Open |
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