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A Flux-Limited Model for Glioma Patterning with Hypoxia-Induced Angiogenesis

  • We propose a model for glioma patterns in a microlocal tumor environment under the influence of acidity, angiogenesis, and tissue anisotropy. The bottom-up model deduction eventually leads to a system of reaction–diffusion–taxis equations for glioma and endothelial cell population densities, of which the former infers flux limitation both in the self-diffusion and taxis terms. The model extends a recently introduced (Kumar, Li and Surulescu, 2020) description of glioma pseudopalisade formation with the aim of studying the effect of hypoxia-induced tumor vascularization on the establishment and maintenance of these histological patterns which are typical for high-grade brain cancer. Numerical simulations of the population level dynamics are performed to investigate several model scenarios containing this and further effects.

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Author:Pawan KumarORCiD, Christina SurulescuORCiD
URN (permanent link):urn:nbn:de:hbz:386-kluedo-61833
ISSN:2073-8994
Parent Title (English):Symmetry
Publisher:MDPI
Document Type:Article
Language of publication:English
Publication Date:2020/11/13
Year of Publication:2020
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2020/12/15
Issue:2020, 12(11)
Number of page:22
Source:https://www.mdpi.com/2073-8994/12/11/1870
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Collections:Open-Access-Publikationsfonds
Licence (German):Zweitveröffentlichung