ArticlePhysical review. E2019
Nonlinear and nonlocal elasticity in coarse-grained differential-tension models of epithelia.
Article in Physical review. E, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Physical models of embryonic epithelial healing.PLoS computational biology · 2026Review
- Shaping epithelial lumina under pressure.Biochemical Society transactions · 2024Review
- Morphoelasticity of large bending deformations of cell sheets during development.Physical review. E · 2021Article
- Mathematical models with frills.eLife · 2019Article
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Authors and funding
2 authors.
Funding
Abstract
The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning different surface tensions to the apical, basal, and lateral sides of the cells. These differential-tension models have been used to describe the deformations of epithelia in different living systems, but the underlying continuum mechanics at the scale of the epithelium are still unclear. Here, we derive a continuum theory for a simple differential-tension model of a two-dimensional epithelial monolayer and study the buckling of this epithelium under imposed compression. The analysis reveals how the cell-level properties encoded in the differential-tension model lead to linear and nonlinear elastic as well as nonlocal, nonelastic behavior at the continuum level.
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