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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Nieto, J.¹  Urrutia, L.¹ 

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

关键词: Cell mobility;    Kinetic theory;    Multiscale models;    Multicellular systems;    Hyperbolic limits;    Chemotaxis;   

DOI  :  10.1016/j.jmaa.2015.08.042

来源: Elsevier

【 摘 要 】

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 behavior. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free