Force networks, torque balance and Airy stress in the planar vertex model of a confluent epithelium

DOI10.1098/rspa.2019.0716zbMath1472.92096arXiv1910.10799OpenAlexW3014658036WikidataQ96230431 ScholiaQ96230431MaRDI QIDQ5160932

Emma Johns, Sarah Woolner, Oliver E. Jensen

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.10799

zbMATH Keywords

biomechanicsvertex modelapplied mathematicsdiscrete calculuscellular biomechanics

Mathematics Subject Classification ID

Cell biology (92C37)

Related Items (2)

The role of topology and mechanics in uniaxially growing cell networks ⋮ Derivation of continuum models from discrete models of mechanical forces in cell populations

Cites Work

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• Bayesian inference of force dynamics during morphogenesis
• Why starting from differential equations for computational physics?
• Stress response of granular systems
• Discrete Poincaré lemma
• On geometric discretization of elasticity
• Discrete Calculus
• Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
• Stress transmission in planar disordered solid foams
• Hodge Laplacians on Graphs

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