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NONLOCAL ADHESION MODELS FOR MICROORGANISMS ON BOUNDED DOMAINS.

Authors :
HILLEN, THOMAS
BUTTENSCHÖN, ANDREAS
Source :
SIAM Journal on Applied Mathematics. 2020, Vol. 80 Issue 1, p382-401. 20p.
Publication Year :
2020

Abstract

In 2006 Armstrong, Painter, and Sherratt formulated a nonlocal differential equation model for cell-cell adhesion. For the one-dimensional case on a bounded domain we derive various types of biological boundary conditions, describing adhesive, repulsive, and neutral boundaries. We prove local and global existence and uniqueness for the resulting integrodifferential equations. In numerical simulations we consider adhesive, repulsive, and neutral boundary conditions, and we show that the solutions mimic known behavior of uid adhesion to boundaries. In addition, we observe interior pattern formation due to cell-cell adhesion. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00361399
Volume :
80
Issue :
1
Database :
Academic Search Index
Journal :
SIAM Journal on Applied Mathematics
Publication Type :
Academic Journal
Accession number :
144781958
Full Text :
https://doi.org/10.1137/19M1250315