Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain

Jaewook Ahn, Myeongju Chae, Jihoon Lee

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish
Article number48
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume72
Issue number2
DOIs
StatePublished - Apr 2021

Keywords

  • Cell–cell adhesion
  • Global existence
  • No-flux boundary conditions
  • Non-local models
  • Semigroups

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