ArticleProceedings. Mathematical, physical, and engineering sciences2020
Force networks, torque balance and Airy stress in the planar vertex model of a confluent epithelium.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Harmonic fields and the mechanical response of a cellular monolayer to ablation.Journal of mathematical biology · 2026Article
- Modeling bulk mechanical effects in a planar cellular monolayer.Physical review. E · 2025Article
- Apical size reduction by macropinocytosis alleviates tissue crowding.Nature communications · 2025Article
- Article
- A geometric-tension-dynamics model of epithelial convergent extension.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Spectral approaches to stress relaxation in epithelial monolayers.Proceedings. Mathematical, physical, and engineering sciences · 2024Article
- Using Histologic Image Analysis to Understand Biophysical Regulations of Epithelial Cell Morphology.Biophysicist (Rockville, Md.) · 2024Article
- How dynamic prestress governs the shape of living systems, from the subcellular to tissue scale.Interface focus · 2022Review
- Derivation of continuum models from discrete models of mechanical forces in cell populations.Journal of mathematical biology · 2021Article
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Authors and funding
3 authors.
Funding
Abstract
The vertex model is a popular framework for modelling tightly packed biological cells, such as confluent epithelia. Cells are described by convex polygons tiling the plane and their equilibrium is found by minimizing a global mechanical energy, with vertex locations treated as degrees of freedom. Drawing on analogies with granular materials, we describe the force network for a localized monolayer and derive the corresponding discrete Airy stress function, expressed for each
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