Wrinkling instability in unsupported epithelial sheets
Soft Condensed Matter
2023-05-24 v2 Materials Science
Biological Physics
Abstract
We investigate the elasticity of unsupported epithelial monolayer and we discover that unlike a thin solid plate, which wrinkles if geometrically incompatible with the underlying substrate, the epithelium may do so even in absence of the substrate. From a cell-based model, we derive an exact elasticity theory and discover wrinkling driven by the differential apico-basal surface tension. Our theory can be mapped onto that for solid plates by introducing a phantom substrate whose stiffness is finite beyond a critical differential tension. This suggests a new mechanism for an autonomous control of tissues over the length scale of their surface patterns.
Cite
@article{arxiv.2210.11883,
title = {Wrinkling instability in unsupported epithelial sheets},
author = {Urška Andrenšek and Primož Ziherl and Matej Krajnc},
journal= {arXiv preprint arXiv:2210.11883},
year = {2023}
}