Computational analysis of three-dimensional epithelial morphogenesis using vertex models

Xinxin Du, Miriam Osterfield, Stanislav Y. Shvartsman

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

The folding of epithelial sheets, accompanied by cell shape changes and rearrangements, gives rise to three-dimensional structures during development. Recently, some aspects of epithelial morphogenesis have been modeled using vertex models, in which each cell is approximated by a polygon; however, these models have been largely confined to two dimensions. Here, we describe an adaptation of these models in which the classical two-dimensional vertex model is embedded in three dimensions. This modification allows for the construction of complex threedimensional shapes from simple sheets of cells. We describe algorithmic, computational, and biophysical aspects of our model, with the view that it may be useful for formulating and testing hypotheses regarding the mechanical forces underlying a wide range of morphogenetic processes.

Original languageEnglish (US)
Article number066007
JournalPhysical Biology
Volume11
Issue number6
DOIs
StatePublished - Dec 2014

All Science Journal Classification (ASJC) codes

  • Biophysics
  • Structural Biology
  • Molecular Biology
  • Cell Biology

Keywords

  • Computational modeling
  • Morphogenesis
  • Vertex models

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