Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
| Autor: | Jihoon Lee, Myeongju Chae, Jaewook Ahn |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Partial differential equation Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Mathematical properties General Physics and Astronomy Adhesion Term (logic) 01 natural sciences Domain (mathematical analysis) Quantitative Biology::Cell Behavior 010101 applied mathematics Mathematics - Analysis of PDEs Bounded function FOS: Mathematics Uniform boundedness 0101 mathematics 92C17 35Q92 35K51 Analysis of PDEs (math.AP) |
| Zdroj: | Zeitschrift für angewandte Mathematik und Physik. 72 |
| ISSN: | 1420-9039 0044-2275 |
| DOI: | 10.1007/s00033-021-01485-y |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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