ArticleMathematical medicine and biology : a journal of the IMA2018
Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model.
Article in Mathematical medicine and biology : a journal of the IMA, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 22 papers.
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Who cites it
22 citing papers in PubMed, 63 citations in OpenAlex.
- Photodegradable Hydrogels for On-Demand Modeling of Age-Related Spatiotemporal ECM Deformation.Small (Weinheim an der Bergstrasse, Germany) · 2026Article
- 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
- F-actin dynamics regulates collective cell migration by modulating cell shape and stress correlation.Biophysical journal · 2025Article
- Spectral approaches to stress relaxation in epithelial monolayers.Proceedings. Mathematical, physical, and engineering sciences · 2024Article
- Relaxation and Noise-Driven Oscillations in a Model of Mitotic Spindle Dynamics.Bulletin of mathematical biology · 2024Article
- Article
- Using Histologic Image Analysis to Understand Biophysical Regulations of Epithelial Cell Morphology.Biophysicist (Rockville, Md.) · 2024Article
- Mechanical control of neural plate folding by apical domain alteration.Nature communications · 2023Article
- Micro and Macroscopic Stress-Strain Relations in Disordered Tessellated Networks.Physical review letters · 2023Article
- Pressure and curvature control of the cell cycle in epithelia growing under spherical confinement.Cell reports · 2022Article
- Image-based parameter inference for epithelial mechanics.PLoS computational biology · 2022Article
- Linear viscoelastic properties of the vertex model for epithelial tissues.PLoS computational biology · 2022Article
- Active chemo-mechanical feedbacks dictate the collective migration of cells on patterned surfaces.Biophysical journal · 2022Article
- Implementation of cellular bulk stresses in vertex models of biological tissues.The European physical journal. E, Soft matter · 2022Article
- Condensation tendency and planar isotropic actin gradient induce radial alignment in confined monolayers.eLife · 2021Article
- Generation of anisotropic strain dysregulates wild-type cell division at the interface between host and oncogenic tissue.Current biology : CB · 2021Article
- Force networks, torque balance and Airy stress in the planar vertex model of a confluent epithelium.Proceedings. Mathematical, physical, and engineering sciences · 2020Article
- Viscoelastic voyages - Biophysical perspectives on cell intercalation during Drosophila gastrulation.Seminars in cell & developmental biology · 2020Review
- Elongated Cells Drive Morphogenesis in a Surface-Wrapped Finite-Element Model of Germband Retraction.Biophysical journal · 2019Article
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Authors and funding
4 authors at 2 institutions in 1 country.
Funding
Abstract
Using a popular vertex-based model to describe a spatially disordered planar epithelial monolayer, we examine the relationship between cell shape and mechanical stress at the cell and tissue level. Deriving expressions for stress tensors starting from an energetic formulation of the model, we show that the principal axes of stress for an individual cell align with the principal axes of shape, and we determine the bulk effective tissue pressure when the monolayer is isotropic at the tissue level. Using simulations for a monolayer that is not under peripheral stress, we fit parameters of the model to experimental data for Xenopus embryonic tissue. The model predicts that mechanical interactions can generate mesoscopic patterns within the monolayer that exhibit long-range correlations in cell shape. The model also suggests that the orientation of mechanical and geometric cues for processes such as cell division are likely to be strongly correlated in real epithelia. Some limitations of the model in capturing geometric features of Xenopus epithelial cells are highlighted.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.