dc.creator | Fernández Romero, Antonio | es |
dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Suárez, Antonio | es |
dc.date.accessioned | 2022-07-01T08:43:22Z | |
dc.date.available | 2022-07-01T08:43:22Z | |
dc.date.issued | 2022-01-26 | |
dc.identifier.citation | Fernández Romero, A., Guillén González, F.M. y Suárez, A. (2022). A Glioblastoma PDE-ODE model including chemotaxis and vasculature. ESAIM: Mathematical Modelling and Numerical Analysis, 56 (2), 407-431. | |
dc.identifier.issn | 0764-583X | es |
dc.identifier.issn | 1290-3841 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134897 | |
dc.description.abstract | In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma,
which includes chemotaxis term directed to vasculature. First, we obtain some a priori estimates for
the (possible) solutions of the model. In particular, under some conditions on the parameters, we obtain
that the system does not develop blow-up at finite time. In addition, we design a fully discrete finite
element scheme for the model which preserves some pointwise estimates of the continuous problem.
Later, we make an adimensional study in order to reduce the number of parameters. Finally, we detect
the main parameters determining different width of the ring formed by proliferative and necrotic cells
and different regular/irregular behaviour of the tumor surface. | es |
dc.format | application/pdf | es |
dc.format.extent | 25 p. | es |
dc.language.iso | eng | es |
dc.publisher | E.D.P. Sciences | es |
dc.relation.ispartof | ESAIM: Mathematical Modelling and Numerical Analysis, 56 (2), 407-431. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | A Glioblastoma PDE-ODE model including chemotaxis and vasculature | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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.publisherversion | doi.org/10.1051/m2an/2022012 | es |
dc.identifier.doi | 10.1051/m2an/2022012 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
dc.journaltitle | ESAIM: Mathematical Modelling and Numerical Analysis | es |
dc.publication.volumen | 56 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 407 | es |
dc.publication.endPage | 431 | es |