Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs
نویسندگان
چکیده
We propose a novel approach to modeling cell migration in an anisotropic environment with biochemical heterogeneity and interspecies interactions, using as paradigm glioma invasion brain tissue under the influence of hypoxia-triggered angiogenesis. The multiscale procedure links single-cell mesoscopic dynamics population level behavior, leading on macroscopic scale flux-limited diffusion multiple taxis. verify nonnegativity regular solutions (provided they exist) obtained PDE-ODE system perform numerical simulations illustrate solution behavior several scenarios.
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ژورنال
عنوان ژورنال: Multiscale Modeling & Simulation
سال: 2022
ISSN: ['1540-3459', '1540-3467']
DOI: https://doi.org/10.1137/21m1412104