A Viscoelastic Model for Glioma Growth

Detalhes bibliográficos
Autor(a) principal: Branco, João
Data de Publicação: 2013
Outros Autores: Ferreira, José Augusto, Oliveira, Paula de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/90452
https://doi.org/10.5220/0004632406890695
Resumo: 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.
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spelling A Viscoelastic Model for Glioma GrowthGlioma, Viscoelastic Behaviour, Mathematical Model, Numerical Simulation.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.SciTePress2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/90452http://hdl.handle.net/10316/90452https://doi.org/10.5220/0004632406890695engR. 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: 10.5220/0004632406890695Branco, JoãoFerreira, José AugustoOliveira, Paula deinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-05-25T04:59:45Zoai:estudogeral.uc.pt:10316/90452Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:10:35.193518Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A Viscoelastic Model for Glioma Growth
title A Viscoelastic Model for Glioma Growth
spellingShingle A Viscoelastic Model for Glioma Growth
Branco, João
Glioma, Viscoelastic Behaviour, Mathematical Model, Numerical Simulation.
title_short A Viscoelastic Model for Glioma Growth
title_full A Viscoelastic Model for Glioma Growth
title_fullStr A Viscoelastic Model for Glioma Growth
title_full_unstemmed A Viscoelastic Model for Glioma Growth
title_sort A Viscoelastic Model for Glioma Growth
author Branco, João
author_facet Branco, João
Ferreira, José Augusto
Oliveira, Paula de
author_role author
author2 Ferreira, José Augusto
Oliveira, Paula de
author2_role author
author
dc.contributor.author.fl_str_mv Branco, João
Ferreira, José Augusto
Oliveira, Paula de
dc.subject.por.fl_str_mv Glioma, Viscoelastic Behaviour, Mathematical Model, Numerical Simulation.
topic Glioma, Viscoelastic Behaviour, Mathematical Model, Numerical Simulation.
description 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.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/90452
http://hdl.handle.net/10316/90452
https://doi.org/10.5220/0004632406890695
url http://hdl.handle.net/10316/90452
https://doi.org/10.5220/0004632406890695
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 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
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv SciTePress
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