The Impact of Elastic Deformations of the Extracellular Matrix on Cell Migration.
Cell migration
Durotaxis
Mathematical modeling
Stochastic simulation
Journal
Bulletin of mathematical biology
ISSN: 1522-9602
Titre abrégé: Bull Math Biol
Pays: United States
ID NLM: 0401404
Informations de publication
Date de publication:
04 04 2020
04 04 2020
Historique:
received:
26
07
2019
accepted:
15
03
2020
entrez:
6
4
2020
pubmed:
6
4
2020
medline:
15
5
2021
Statut:
epublish
Résumé
The mechanical properties of the extracellular matrix, in particular its stiffness, are known to impact cell migration. In this paper, we develop a mathematical model of a single cell migrating on an elastic matrix, which accounts for the deformation of the matrix induced by forces exerted by the cell, and investigate how the stiffness impacts the direction and speed of migration. We model a cell in 1D as a nucleus connected to a number of adhesion sites through elastic springs. The cell migrates by randomly updating the position of its adhesion sites. We start by investigating the case where the cell springs are constant, and then go on to assuming that they depend on the matrix stiffness, on matrices of both uniform stiffness as well as those with a stiffness gradient. We find that the assumption that cell springs depend on the substrate stiffness is necessary and sufficient for an efficient durotactic response. We compare simulations to recent experimental observations of human cancer cells exhibiting durotaxis, which show good qualitative agreement.
Identifiants
pubmed: 32248312
doi: 10.1007/s11538-020-00721-2
pii: 10.1007/s11538-020-00721-2
pmc: PMC7128007
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
49Subventions
Organisme : Stiftelsen för Strategisk Forskning
ID : AM13-0046
Pays : International
Organisme : Vetenskapsrådet
ID : 2014-6095
Pays : International
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