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Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
- Authors
- Ahn, Jaewook; Chae, Myeongju; Lee, Jihoon
- Issue Date
- Apr-2021
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- Cell-cell adhesion; Non-local models; No-flux boundary conditions; Global existence; Semigroups
- Citation
- ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v.72, no.2
- Journal Title
- ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
- Volume
- 72
- Number
- 2
- ISSN
- 0044-2275
1420-9039
- 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.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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