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Artículo
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
dc.creator | Delgado Delgado, Manuel | es |
dc.creator | Gayte Delgado, María Inmaculada | es |
dc.creator | Morales Rodrigo, Cristian | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-04-20T12:49:37Z | |
dc.date.available | 2016-04-20T12:49:37Z | |
dc.date.issued | 2010-01-01 | |
dc.identifier.citation | Delgado Delgado, M., Gayte Delgado, M.I., Morales Rodrigo, C. y Suárez Fernández, A. (2010). An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary. | |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | http://hdl.handle.net/11441/40197 | |
dc.description.abstract | In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. The problem includes a chemotaxis type term and a nonlinear boundary condition at the tumor boundary. We show that the parabolic problem admits a unique positive global in time solution. Moreover, by bifurcation methods, we show the existence of coexistence states and also we study the local stability of the semi-trivial states. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | null | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Angiogenesis | es |
dc.subject | chemotaxis | es |
dc.subject | bifurcation methods | es |
dc.subject | coexistence state | es |
dc.title | An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2006-07932 | es |
dc.identifier.doi | http://dx.doi.org/10.1016/j.na.2009.06.057 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/40197 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España |
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