ArticlePhysical review. E2021
Morphoelasticity of large bending deformations of cell sheets during development.
Article in Physical review. E, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Predicting curvature evolution on biological surfaces from clinical imaging-derived area dilation: a closed-form interpretable framework.bioRxiv : the preprint server for biology · 2026Article
- Self-organization of PIP3 waves is controlled by the topology and curvature of cell membranes.Biophysical journal · 2024Article
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Authors and funding
2 authors.
Funding
Abstract
Deformations of cell sheets during morphogenesis are driven by developmental processes such as cell division and cell shape changes. In morphoelastic shell theories of development, these processes appear as variations of the intrinsic geometry of a thin elastic shell. However, morphogenesis often involves large bending deformations that are outside the formal range of validity of these shell theories. Here, by asymptotic expansion of three-dimensional incompressible morphoelasticity in the limit of a thin shell, we derive a shell theory for large intrinsic bending deformations and emphasize the resulting geometric material anisotropy and the elastic role of cell constriction. Taking the invagination of the green alga Volvox as a model developmental event, we show how results for this theory differ from those for a classical shell theory that is not formally valid for these large bending deformations and reveal how these geometric effects stabilize invagination.
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