MULTISCALE MODELING OF GLIOMA INVASION: FROM RECEPTOR BINDING TO FLUX-LIMITED MACROSCOPIC PDES

被引：8
作者：
Dietrich, Anne [1 ]
Kolbe, Niklas [2 ]
Sfakianakis, Nikolaos [3 ]
Surulescu, Christina [1 ]
机构：
[1] Tech Univ Kaiserslautern, Felix Klein Zentrum Math, D-67663 Kaiserslautern, Germany
[2] Rhein Westfal TH Aachen, Inst Geometr & Prakt Math, D-52062 Aachen, Germany
[3] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland
来源：
MULTISCALE MODELING & SIMULATION | 2022年 / 20卷 / 02期
基金：
日本学术振兴会;
关键词：
glioma invasion; receptor binding; flux-limited PDE; multiscale modeling; CANCER INVASION; DIFFUSION; EQUATIONS; MIGRATION; SPREAD; TISSUE; CELLS; PROLIFERATION; CHEMOTAXIS; GROWTH;
D O I：
10.1137/21M1412104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：685 / 713
页数：29
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