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arxiv: 1412.7476 · v3 · pith:S5SZX2RQnew · submitted 2014-12-23 · 🧮 math.AP

A multiscale model of cell mobility: From a kinetic to a hydrodynamic description

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keywords cellmodeldescriptionhydrodynamicanalysisasymptoticbalancebehaviour
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This paper concerns a model for tumor cell migration through the surrounding extracellular matrix by considering mass balance phenomena involving the chemical interactions produced on the cell surface. The well-posedness of this model is proven. An asymptotic analysis via a suitable hydrodynamic limit completes the description of the macroscopic behaviour.

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