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Kelkel, Jan; Surulescu, Christina

A multiscale approach to cell migration in tissue networks. (English) Zbl 1241.92041

Math. Models Methods Appl. Sci. 22, No. 3, 1150017, 25 p. (2012).
Summary: 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.

Cited in 2 Reviews
Cited in 23 Documents

MSC:

92C50 Medical applications (general)
92C37 Cell biology
92C17 Cell movement (chemotaxis, etc.)
74A25 Molecular, statistical, and kinetic theories in solid mechanics
45K05 Integro-partial differential equations
74S99 Numerical and other methods in solid mechanics
65R99 Numerical methods for integral equations, integral transforms

Keywords:

kinetic theory; intracellular dynamics; fixed point theorem

Software:

Chemotaxis
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\textit{J. Kelkel} and \textit{C. Surulescu}, Math. Models Methods Appl. Sci. 22, No. 3, 1150017, 25 p. (2012; Zbl 1241.92041)
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