在癌症侵袭的多尺度模拟中出现的通量限制机制
Flux limitation mechanisms arising in multiscale modelling of cancer invasion
摘要：
肿瘤侵袭是癌症进展的重要阶段。它的主要驱动力是扩散和出租车，沿着刺激的梯度定向运动。在这里，我们审查模型与通量限制扩散和/或的士的细胞迁移，特别是在癌症的建模中的应用。通量限制确保了对传播速度的控制，排除了传统抛物型方程典型的不自然的快速传播。我们回顾了通量限制效应模型的主要特性，并讨论了如何构建它们，集中在动力学输运方程的多尺度推导。
英文摘要：
Tumour invasion is an essential stage of cancer progression. Its main drivers are diffusion and taxis, a directed movement along the gradient of a stimulus. Here we review models with flux limited diffusion and/or taxis which have applications in modelling of cell migration, particularly in cancer. Flux limitation ensures control upon propagation speeds, precluding unnaturally quick spread which is typical for traditional parabolic equations. We recall the main properties of models with flux limitation effects and discuss ways to construct them, concentrating on multiscale derivations from kinetic transport equations.
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