Cargando…

Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model

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 t...

Descripción completa

Detalles Bibliográficos
Autores principales: Nestor-Bergmann, Alexander, Goddard, Georgina, Woolner, Sarah, Jensen, Oliver E
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Oxford University Press 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5978812/
https://www.ncbi.nlm.nih.gov/pubmed/28992197
http://dx.doi.org/10.1093/imammb/dqx008
_version_ 1783327561374236672
author Nestor-Bergmann, Alexander
Goddard, Georgina
Woolner, Sarah
Jensen, Oliver E
author_facet Nestor-Bergmann, Alexander
Goddard, Georgina
Woolner, Sarah
Jensen, Oliver E
author_sort Nestor-Bergmann, Alexander
collection PubMed
description 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.
format Online
Article
Text
id pubmed-5978812
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Oxford University Press
record_format MEDLINE/PubMed
spelling pubmed-59788122018-06-04 Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model Nestor-Bergmann, Alexander Goddard, Georgina Woolner, Sarah Jensen, Oliver E Math Med Biol Article 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. Oxford University Press 2018-04 2017-08-08 /pmc/articles/PMC5978812/ /pubmed/28992197 http://dx.doi.org/10.1093/imammb/dqx008 Text en © The authors 2017. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. http://creativecommons.org/licenses/by/4.0/ This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Article
Nestor-Bergmann, Alexander
Goddard, Georgina
Woolner, Sarah
Jensen, Oliver E
Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
title Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
title_full Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
title_fullStr Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
title_full_unstemmed Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
title_short Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
title_sort relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5978812/
https://www.ncbi.nlm.nih.gov/pubmed/28992197
http://dx.doi.org/10.1093/imammb/dqx008
work_keys_str_mv AT nestorbergmannalexander relatingcellshapeandmechanicalstressinaspatiallydisorderedepitheliumusingavertexbasedmodel
AT goddardgeorgina relatingcellshapeandmechanicalstressinaspatiallydisorderedepitheliumusingavertexbasedmodel
AT woolnersarah relatingcellshapeandmechanicalstressinaspatiallydisorderedepitheliumusingavertexbasedmodel
AT jensenolivere relatingcellshapeandmechanicalstressinaspatiallydisorderedepitheliumusingavertexbasedmodel