Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44667
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Branco, João | - |
dc.contributor.author | Ferreira, José Augusto | - |
dc.contributor.author | Oliveira, Paula de | - |
dc.date.accessioned | 2017-11-29T15:59:36Z | - |
dc.date.issued | 2014 | - |
dc.identifier.uri | https://hdl.handle.net/10316/44667 | - |
dc.description.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. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier | por |
dc.relation | info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT | por |
dc.rights | embargoedAccess | - |
dc.subject | Antineoplastic Agents | por |
dc.subject | Brain Neoplasms | por |
dc.subject | Cell Proliferation | por |
dc.subject | Clinical Protocols | por |
dc.subject | Computer Simulation | por |
dc.subject | Elasticity | por |
dc.subject | Glioma | por |
dc.subject | Humans | por |
dc.subject | Mathematical Concepts | por |
dc.subject | Neoplasm Invasiveness | por |
dc.subject | Viscosity | por |
dc.subject | Models, Biological | por |
dc.title | Mathematical modeling of efficient protocols to control glioma growth | por |
dc.type | article | - |
degois.publication.firstPage | 83 | por |
degois.publication.lastPage | 90 | por |
degois.publication.title | Mathematical Biosciences | por |
dc.relation.publisherversion | https://doi.org/10.1016/j.mbs.2014.07.002 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1016/j.mbs.2014.07.002 | por |
dc.identifier.doi | 10.1016/j.mbs.2014.07.002 | - |
degois.publication.volume | 255 | por |
dc.date.embargo | 2018-11-29T15:59:37Z | - |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-5226-2905 | - |
crisitem.author.orcid | 0000-0001-6634-6651 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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JRB_JAF_PO.pdf | 174.31 kB | Adobe PDF | View/Open |
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