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- W4287645010 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 non-negativity 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." @default.
- W4287645010 created "2022-07-25" @default.
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- W4287645010 date "2020-10-07" @default.
- W4287645010 modified "2023-10-14" @default.
- W4287645010 title "Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs" @default.
- W4287645010 doi "https://doi.org/10.48550/arxiv.2010.03277" @default.
- W4287645010 hasPublicationYear "2020" @default.
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