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.
Author: | Pawan KumarORCiD, Christina SurulescuORCiD |
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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 |