论文标题
神经胶质瘤侵袭的多尺度建模：从受体结合到磁通量限制的宏观PDE
Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs
论文作者
论文摘要
我们提出了一种新的方法，可以在各向异性环境中建模细胞迁移，并具有生化异质性和种间相互作用，在低氧触发的血管生成的影响下用作脑组织中的范式胶质瘤侵袭。多尺度程序将单细胞和介绍动力学与人口水平行为联系起来，导致宏观量表与通量有限的神经胶质瘤扩散和多个出租车联系起来。我们将常规解决方案的非负性（前提是存在）验证到获得的宏观PDE-ODE系统并执行数值模拟，以在几种情况下说明解决方案行为。
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.
