A multiscale model of cell mobility: From a kinetic to a hydrodynamic description
arXiv:1412.7476 · doi:10.1016/j.jmaa.2015.08.042
Abstract
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.