Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.3390/sym12111870 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
glioblastoma,pseudopalisades,hypoxia-induced angiogenesis,flux-limited diffusion and taxis,kinetic transport equations,equilibrium-based moment closure | Journal | 12 |
Issue | Citations | PageRank |
11 | 1 | 0.41 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pawan Kumar | 1 | 1 | 0.41 |
| Christina Surulescu | 2 | 7 | 1.57 |