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Positivity preserving high order schemes for angiogenesis models

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dc.contributor.authorCarpio Rodríguez, Ana María
dc.contributor.authorCebrián, Elena
dc.date.accessioned2024-01-18T18:33:14Z
dc.date.available2024-01-18T18:33:14Z
dc.date.issued2022
dc.description.abstractHypoxy induced angiogenesis processes can be described by coupling an integrodifferential kinetic equation of Fokker–Planck type with a diffusion equation for the angiogenic factor. We propose high order positivity preserving schemes to approximate the marginal tip density by combining an asymptotic reduction with weighted essentially non oscillatory and strong stability preserving time discretization. We capture soliton-like solutions representing blood vessel formation and spread towards hypoxic regions.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.statuspub
dc.identifier.citationCarpio Rodríguez, A. M. y Cebrián, E. «Positivity Preserving High Order Schemes for Angiogenesis Models». International Journal of Nonlinear Sciences and Numerical Simulation, vol. 23, n.o 6, octubre de 2022, pp. 917-29. https://doi.org/10.1515/ijnsns-2021-0112.
dc.identifier.doi10.1515/ijnsns-2021-0112
dc.identifier.essn2191-0294
dc.identifier.issn1565-1339
dc.identifier.officialurlhttps://doi.org/10.1515/ijnsns-2021-0112
dc.identifier.relatedurlhttps://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0112/html
dc.identifier.urihttps://hdl.handle.net/20.500.14352/93936
dc.issue.number6
dc.journal.titleInternational Journal of Nonlinear Sciences and Numerical Simulation
dc.language.isoeng
dc.page.final929
dc.page.initial917
dc.publisherDe Gruyter
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84446-C2-1-R/ES/MODELOS MATEMATICOS Y TECNICAS PARA AGREGADOS CELULARES/
dc.rights.accessRightsopen access
dc.subject.keywordAngiogenesis
dc.subject.keywordAsymptotic reduction
dc.subject.keywordFokker–Planck
dc.subject.keywordHigh order schemes
dc.subject.keywordKinetic models
dc.subject.keywordPositivity preserving
dc.subject.ucmAnálisis numérico
dc.subject.ucmBiomatemáticas
dc.subject.unesco1206 Análisis Numérico
dc.titlePositivity preserving high order schemes for angiogenesis modelsen
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number23
dspace.entity.typePublication
relation.isAuthorOfPublicationf301b87d-970b-4da8-9373-fef22632392a
relation.isAuthorOfPublication.latestForDiscoveryf301b87d-970b-4da8-9373-fef22632392a

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