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On some models for cancer cell migration through tissue networks. (English) Zbl 1259.35206

Summary: We propose some models allowing to account for relevant processes at the various scales of cancer cell migration through tissue, ranging from the receptor dynamics on the cell surface over degradation of tissue fibers by protease and soluble ligand production towards the behavior of the entire cell population. For a genuinely mesoscopic version of these models we also provide a result on the local existence and uniqueness of a solution for all biologically relevant space dimensions.

MSC:

35Q92 PDEs in connection with biology, chemistry and other natural sciences
92B05 General biology and biomathematics

Software:

Chemotaxis