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Multiscale modeling of glioma invasion : from receptor binding to flux-limited macroscopic PDEs

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dc.contributor.authorDietrich, Anne
dc.contributor.authorKolbe, Niklas
dc.contributor.authorSfakianakis, Nikolaos
dc.contributor.authorSurulescu, Christina
dc.date.accessioned2022-06-29T15:30:21Z
dc.date.available2022-06-29T15:30:21Z
dc.date.issued2022-06-24
dc.identifier280285561
dc.identifiera6cb5306-708d-4a5b-a229-253f8eb67be0
dc.identifier85135387468
dc.identifier000820687200005
dc.identifier.citationDietrich , A , Kolbe , N , Sfakianakis , N & Surulescu , C 2022 , ' Multiscale modeling of glioma invasion : from receptor binding to flux-limited macroscopic PDEs ' , Multiscale Modeling and Simulation , vol. 20 , no. 2 , pp. 685-713 . https://doi.org/10.1137/21M1412104en
dc.identifier.issn1540-3459
dc.identifier.otherRIS: urn:247D77BB080044275E3EFD6BB8A487AF
dc.identifier.otherORCID: /0000-0002-2675-6338/work/115309527
dc.identifier.urihttps://hdl.handle.net/10023/25579
dc.descriptionFunding: The work of the first and fourth authors was supported by the German Federal Ministry of Education and Research (BMBF) through project GlioMaTh 05M2016. The work of the third author was supported by the Postdoctoral Fellowship for Research in Japan (Standard) of the Japan Society for the Promotion of Science.en
dc.description.abstractWe propose a novel approach to modeling cell migration in an anisotropic environment with biochemical heterogeneity and interspecies interactions, using as a paradigm glioma invasion in brain tissue under the influence of hypoxia-triggered angiogenesis. The multiscale procedure links single-cell and mesoscopic dynamics with population level behavior, leading on the macroscopic scale to flux-limited glioma diffusion and multiple taxis. We verify the nonnegativity of regular solutions (provided they exist) to the obtained macroscopic PDE-ODE system and perform numerical simulations to illustrate the solution behavior under several scenarios.
dc.format.extent29
dc.format.extent16260657
dc.language.isoeng
dc.relation.ispartofMultiscale Modeling and Simulationen
dc.subjectGlioma invasionen
dc.subjectMultiscale modelingen
dc.subjectFlux-limited PDEen
dc.subjectReceptor bindingen
dc.subjectQA75 Electronic computers. Computer scienceen
dc.subjectRC0254 Neoplasms. Tumors. Oncology (including Cancer)en
dc.subjectT-NDASen
dc.subjectSDG 3 - Good Health and Well-beingen
dc.subject.lccQA75en
dc.subject.lccRC0254en
dc.titleMultiscale modeling of glioma invasion : from receptor binding to flux-limited macroscopic PDEsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.1137/21M1412104
dc.description.statusPeer revieweden


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