2020/09/21 by Pawan Kumar, Kumar, Pawan, Christina Surulescu +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #FOS: Biological sciences #Gene Regulatory Network Analysis #MRI in cancer diagnosis #Mathematical Biology Tumor Growth #Tissues and Organs (q-bio.TO)
paper · pdf · doi:10.48550/arxiv.2009.10046
openalex publication_date 2020/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a model for glioma patterns in a microlocal tumor environment\nunder the influence of acidity, angiogenesis, and tissue anisotropy. The\nbottom-up model deduction eventually leads to a system of\nreaction-diffusion-taxis equations for glioma and endothelial cell population\ndensities, of which the former infers flux limitation both in the\nself-diffusion and taxis terms. The model extends a recently introduced [34]\ndescription of glioma pseudopalisade formation, with the aim of studying the\neffect of hypoxia-induced tumor vascularization on the establishment and\nmaintenance of these histological patterns which are typical for high grade\nbrain cancer. Numerical simulations of the population level dynamics are\nperformed to investigate several model scenarios containing this and further\neffects.\n