Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
Analysis of PDEs
2021-03-17 v3
Abstract
Cell-cell adhesion is an inherently nonlocal phenomenon. Numerous partial differential equation models with nonlocal term have been recently presented to describe this phenomenon, yet the mathematical properties of nonlocal adhesion model are not well understood. Here we consider a model with two kinds of nonlocal cell-cell adhesion, satisfying no-flux conditions in a multidimensional bounded domain. We show global-in-time well-posedness of the solution to this model and obtain the uniform boundedness of solution.
Cite
@article{arxiv.2004.07500,
title = {Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain},
author = {Jaewook Ahn and Myeongju Chae and Jihoon Lee},
journal= {arXiv preprint arXiv:2004.07500},
year = {2021}
}