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Well posedness and numerical solution of kinetic models for angiogenesis
dc.contributor.author | Carpio, Ana | |
dc.contributor.author | Cebrián, Elena | |
dc.contributor.author | Duro, Gema | |
dc.date.accessioned | 2021-06-15T11:20:44Z | |
dc.date.available | 2021-06-15T11:20:44Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Carpio, 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.isbn | 978-84-18482-21-2 | |
dc.identifier.uri | http://hdl.handle.net/10651/59066 | |
dc.description.abstract | Angiogenesis 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.extent | p. 109-113 | spa |
dc.language.iso | eng | spa |
dc.publisher | Servicio de Publicaciones de la Universidad de Oviedo | spa |
dc.relation.ispartof | Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada | spa |
dc.rights | © Los autores | |
dc.rights | © 2021 Universidad de Oviedo | |
dc.rights | CC Reconocimiento - No comercial - Sin obras derivadas 3.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | |
dc.title | Well posedness and numerical solution of kinetic models for angiogenesis | spa |
dc.type | book part | spa |
dc.rights.accessRights | open access | |
dc.type.hasVersion | VoR |
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XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada [55]
Recoge las actas del XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada