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On a model for the growth of an invasive avascular tumor

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dc.contributor.authorAvila, J. A J
dc.contributor.authorLozada-Cruz, G. [UNESP]
dc.contributor.institutionUniversidade Federal de São João del Rei
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:30:30Z
dc.date.available2014-05-27T11:30:30Z
dc.date.issued2013-08-30
dc.description.abstractThis paper is devoted to study the 1D model of invasive avascular tumor growth, which takes into account cell division, death, and motility, proposed by Kolobov and collaborators in 2009. First, we examine the existence and uniqueness of the solution to this model. Second, we studied qualitatively and numerically the traveling wave solutions. Finally, we show some numerical simulations for the cell density and nutrient concentration. © 2013 NSP Natural Sciences Publishing Cor.en
dc.description.affiliationDepartment of Mathematics and Statistics Universidade Federal de São João del Rei, 36307-904, São João del Rei, MG
dc.description.affiliationDepartment of Mathematics, IBILCE Universidade Estadual Paulista, 15054-000, São José do Rio Preto, Sao Paulo
dc.description.affiliationUnespDepartment of Mathematics, IBILCE Universidade Estadual Paulista, 15054-000, São José do Rio Preto, Sao Paulo
dc.format.extent1857-1863
dc.identifierhttp://dx.doi.org/10.12785/amis/070524
dc.identifier.citationApplied Mathematics and Information Sciences, v. 7, n. 5, p. 1857-1863, 2013.
dc.identifier.doi10.12785/amis/070524
dc.identifier.issn1935-0090
dc.identifier.issn2325-0399
dc.identifier.scopus2-s2.0-84883012967
dc.identifier.urihttp://hdl.handle.net/11449/76366
dc.identifier.wosWOS:000324313400024
dc.language.isoeng
dc.relation.ispartofApplied Mathematics and Information Sciences
dc.relation.ispartofsjr0,220
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectExistence of solution
dc.subjectInvasive avascular tumor
dc.subjectNumerical simulation.
dc.subjectTraveling wave
dc.titleOn a model for the growth of an invasive avascular tumoren
dc.typeArtigo
dcterms.licensehttp://www.naturalspublishing.com/show.asp?JorID=1&pgid=3
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas