Abstract
We 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.
| Original language | English |
|---|---|
| Pages (from-to) | 685-713 |
| Number of pages | 29 |
| Journal | Multiscale Modeling and Simulation |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 24 Jun 2022 |
Keywords
- Glioma invasion
- Multiscale modeling
- Flux-limited PDE
- Receptor binding
Access to Document
- Dietrich_2022_MMS_Multiscale-modeling_VoR
Copyright © 2022 Society for Industrial and Applied Mathematics. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the final published version of the work, which was originally published at https://doi.org/10.1137/21M1412104.