A MULTISCALE APPROACH TO CELL MIGRATION IN TISSUE NETWORKS

被引：36

作者：

Kelkel, Jan ^{[2
]}

Surulescu, Christina ^{[1
]}

机构：

[1] Univ Munster, Inst Computat & Appl Math, D-48149 Munster, Germany

[2] Univ Stuttgart, Inst Appl Anal & Numer Simulat, D-70569 Stuttgart, Germany

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2012年 / 22卷 / 03期

关键词：

Kinetic theory; multiscale models; cell migration in tissue networks; intracellular dynamics; fixed point theorem; TRANSPORT-EQUATIONS; CANCER INVASION; DIFFUSION LIMIT; MODELS; CHEMOTAXIS; SYSTEMS; PATHWAY;

D O I：

10.1142/S0218202511500175

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a multiscale model for tumor cell migration allowing to account for the receptor-mediated movement of the cells, the degradation of tissue fibers and the subsequent production of a soluble ligand whose concentration gradient then acts together with the distribution of tissue fibers as a directional cue for the cells. For this model we present a result on the local existence and uniqueness of a solution in all biologically relevant space dimensions.

引用

页数：25

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