Year: 2026
Type: article
Abstract: In this work, we present a mathematical framework to model mechanical behaviours of a polarized cell monolayer based on a Cosserat elasticity theory of thin structures. We show that cell polarization must remain tangential at free boundaries, resulting in an experimentally observed behaviour called an ‘edge effect’. We show that this behaviour is independent of the cell type. Furthermore, we present Legendre–Hadamard inequalities that must be satisfied at equilibrium for it to be a stable configuration.
Authors: Milad Shirani, Jay D. Humphrey
Institution: Yale University
Language: English
Subfield: Cell Biology
Domain: Life Sciences
Open Access status: hybrid
Funder: Yale University
OpenAlex ID: W7225142853
