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

Jaewook Ahn; Myeongju Chae; Jihoon Lee

doi:10.1007/s00033-021-01485-y

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

Jaewook Ahn
, Myeongju Chae
, Jihoon Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Article number	48
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	72
Issue number	2
DOIs	https://doi.org/10.1007/s00033-021-01485-y
State	Published - Apr 2021

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This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

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

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10.1007/s00033-021-01485-y

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title = "Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain",

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.",

keywords = "Cell–cell adhesion, Global existence, No-flux boundary conditions, Non-local models, Semigroups",

author = "Jaewook Ahn and Myeongju Chae and Jihoon Lee",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.",

year = "2021",

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T1 - Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain

AU - Ahn, Jaewook

AU - Chae, Myeongju

AU - Lee, Jihoon

PY - 2021/4

Y1 - 2021/4

N2 - 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.

AB - 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.

KW - Cell–cell adhesion

KW - Global existence

KW - No-flux boundary conditions

KW - Non-local models

KW - Semigroups

UR - https://www.scopus.com/pages/publications/85101255030

U2 - 10.1007/s00033-021-01485-y

DO - 10.1007/s00033-021-01485-y

M3 - Article

AN - SCOPUS:85101255030

SN - 0044-2275

VL - 72

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 2

M1 - 48

ER -

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

Abstract

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Keywords

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