Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44667
Title: Mathematical modeling of efficient protocols to control glioma growth
Authors: Branco, João 
Ferreira, José Augusto 
Oliveira, Paula de 
Keywords: Antineoplastic Agents; Brain Neoplasms; Cell Proliferation; Clinical Protocols; Computer Simulation; Elasticity; Glioma; Humans; Mathematical Concepts; Neoplasm Invasiveness; Viscosity; Models, Biological
Issue Date: 2014
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Serial title, monograph or event: Mathematical Biosciences
Volume: 255
Abstract: In this paper we propose a mathematical model to describe the evolution of glioma cells 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 proliferative cells is described by a reaction equation. A stability analysis that leads to the design of efficient protocols is presented. Numerical simulations that illustrate the behavior of the mathematical model are included.
URI: http://hdl.handle.net/10316/44667
Other Identifiers: 10.1016/j.mbs.2014.07.002
DOI: 10.1016/j.mbs.2014.07.002
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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