期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 22, 期 3, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202511500175
关键词
Kinetic theory; multiscale models; cell migration in tissue networks; intracellular dynamics; fixed point theorem
资金
- Carl-Zeiss-Stiftung
- Baden-Wurttemberg Foundation
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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