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.
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页数：25
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