Relating Cell Shape and Mechanical Stress in a Spatially Disordered Epithelium Using a Vertex-based Model

Overview

Journal Math Med Biol

Specialty Biology

Date 2017 Oct 10

PMID 28992197

Citations 16

Authors

Alexander Nestor-Bergmann

Georgina Goddard

Sarah Woolner

Oliver E Jensen

Affiliations

Soon will be listed here.

Abstract

Using a popular vertex-based model to describe a spatially disordered planar epithelial monolayer, we examine the relationship between cell shape and mechanical stress at the cell and tissue level. Deriving expressions for stress tensors starting from an energetic formulation of the model, we show that the principal axes of stress for an individual cell align with the principal axes of shape, and we determine the bulk effective tissue pressure when the monolayer is isotropic at the tissue level. Using simulations for a monolayer that is not under peripheral stress, we fit parameters of the model to experimental data for Xenopus embryonic tissue. The model predicts that mechanical interactions can generate mesoscopic patterns within the monolayer that exhibit long-range correlations in cell shape. The model also suggests that the orientation of mechanical and geometric cues for processes such as cell division are likely to be strongly correlated in real epithelia. Some limitations of the model in capturing geometric features of Xenopus epithelial cells are highlighted.

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