ArticleBulletin of mathematical biology2020
The Impact of Elastic Deformations of the Extracellular Matrix on Cell Migration.
Article in Bulletin of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
5 citing papers in PubMed.
- An Endothelial Cell Is Not Simply an Endothelial Cell.Stem cells and development · 2024Review
- Penetrating the ultra-tough yeast cell wall with finite element analysis model-aided design of microtools.iScience · 2024Article
- Biophysical Control of the Glioblastoma Immunosuppressive Microenvironment: Opportunities for Immunotherapy.Bioengineering (Basel, Switzerland) · 2024Review
- Computational models of migration modes improve our understanding of metastasis.APL bioengineering · 2020Review
- Mechanics of Pollen Tube Elongation: A Perspective.Frontiers in plant science · 2020Review
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Authors and funding
3 authors.
Funding
Abstract
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.
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