Title of article :
Drift–diffusion limit of a model for the dynamics of epithelial and mesenchymal cell monolayers
Author/Authors :
Delitala، نويسنده , , Marcello and Lorenzi، نويسنده , , Tommaso، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Abstract :
This paper is devoted to deriving formally the drift–diffusion limit for a kinetic-like model describing the dynamics of a monolayer sample of epithelial and mesenchymal cells, which move via chemotaxis on a flat surface, proliferate, and interact among themselves. The aim is to verify if the macroscopic equations resulting from the underlying model are able to mimic a biologically consistent scenario, where epithelial cells tend to adhere to one another while mesenchymal cells diffuse through the sample.
Keywords :
kinetic Models , Drift–diffusion limits , chemotaxis , Proliferation/competition
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters