ArticleJournal of mathematical biology2019
Mathematical modelling of cell migration: stiffness dependent jump rates result in durotaxis.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels.Journal of cell science · 2025Article
- Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels.bioRxiv : the preprint server for biology · 2024Article
- Durotaxis: the mechanical control of directed cell migration.The FEBS journal · 2022Review
- Article
- Mechanical Pressure Driving Proteoglycan Expression in Mammographic Density: a Self-perpetuating Cycle?Journal of mammary gland biology and neoplasia · 2021Review
- Recent advances in understanding the role of metabolic heterogeneities in cell migration.Faculty reviews · 2021Review
- Cell Shape and Durotaxis Explained from Cell-Extracellular Matrix Forces and Focal Adhesion Dynamics.iScience · 2020Article
- The Impact of Elastic Deformations of the Extracellular Matrix on Cell Migration.Bulletin of mathematical biology · 2020Article
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Authors and funding
2 authors.
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Abstract
Durotaxis, the phenomena where cells migrate up a gradient in substrate stiffness, remains poorly understood. It has been proposed that durotaxis results from the reinforcement of focal adhesions on stiff substrates. In this paper we formulate a mathematical model of single cell migration on elastic substrates with spatially varying stiffness. We develop a stochastic model where the cell moves by updating the position of its adhesion sites at random times, and the rate of updates is determined by the local stiffness of the substrate. We investigate two physiologically motivated mechanisms of stiffness sensing. From the stochastic model of single cell migration we derive a population level description in the form of a partial differential equation for the time evolution of the density of cells. The equation is an advection-diffusion equation, where the advective velocity is proportional to the stiffness gradient. The model shows quantitative agreement with experimental results in which cells tend to cluster when seeded on a matrix with periodically varying stiffness.
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