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Well posedness and numerical solution of kinetic models for angiogenesis

dc.contributor.authorCarpio, Ana
dc.contributor.authorCebrián, Elena
dc.contributor.authorDuro, Gema
dc.date.accessioned2021-06-15T11:20:44Z
dc.date.available2021-06-15T11:20:44Z
dc.date.issued2021
dc.identifier.citationCarpio, A., Cebrián, E. y Duro, G. (2021) Well posedness and numerical solution of kinetic models for angiogenesis. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 109-113). Oviedo : Universidad de Oviedo, Servicio de Publicaciones
dc.identifier.isbn978-84-18482-21-2
dc.identifier.urihttp://hdl.handle.net/10651/59066
dc.description.abstractAngiogenesis processes including the effect of stochastic branching and spread of blood vessels can be described coupling a (nonlocal in time) integrodifferential kinetic equation of Fokker-Planck type with a diffusion equation for the angiogenic factor. Well posedness studies underline the importance of preserving positivity when constructing approximate solutions. We devise order one positivity preserving schemes for a reduced model and show that soliton-like asymptotic solutions are correctly captured. We also find good agreement with the original stochastic model from which the deterministic kinetic equations are derived working with ensemble averages. Higher order positivity preserving schemes can be devised combining WENO and SSP procedures.spa
dc.format.extentp. 109-113spa
dc.language.isoengspa
dc.publisherServicio de Publicaciones de la Universidad de Oviedospa
dc.relation.ispartofProceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicadaspa
dc.rights© Los autores
dc.rights© 2021 Universidad de Oviedo
dc.rightsCC Reconocimiento - No comercial - Sin obras derivadas 3.0 España
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.titleWell posedness and numerical solution of kinetic models for angiogenesisspa
dc.typebook partspa
dc.rights.accessRightsopen access
dc.type.hasVersionVoR


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