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Biophys J. 2016 Apr 12;110(7):1670-8. doi: 10.1016/j.bpj.2016.03.009.

Shape Transformations of Epithelial Shells.

Author information

1
Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey; Lewis-Sigler Institute for Integrative Genomics, Princeton University, Princeton, New Jersey.
2
Laboratoire de Mécanique des Solides, École Polytechnique, Centre National de la Recherche Scientifique, Université Paris-Saclay, Palaiseau, France.
3
Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey; Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey.
4
Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey; Lewis-Sigler Institute for Integrative Genomics, Princeton University, Princeton, New Jersey. Electronic address: stas@princeton.edu.

Abstract

Regulated deformations of epithelial sheets are frequently foreshadowed by patterning of their mechanical properties. The connection between patterns of cell properties and the emerging tissue deformations is studied in multiple experimental systems, but the general principles remain poorly understood. For instance, it is in general unclear what determines the direction in which the patterned sheet is going to bend and whether the resulting shape transformation will be discontinuous or smooth. Here these questions are explored computationally, using vertex models of epithelial shells assembled from prismlike cells. In response to rings and patches of apical cell contractility, model epithelia smoothly deform into invaginated or evaginated shapes similar to those observed in embryos and tissue organoids. Most of the observed effects can be captured by a simpler model with polygonal cells, modified to include the effects of the apicobasal polarity and natural curvature of epithelia. Our models can be readily extended to include the effects of multiple constraints and used to describe a wide range of morphogenetic processes.

PMID:
27074691
PMCID:
PMC4833838
[Available on 2017-04-12]
DOI:
10.1016/j.bpj.2016.03.009
[Indexed for MEDLINE]
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