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Shape-Tension Coupling Produces Nematic Order in an Epithelium Vertex Model.

Jan RozmanJulia M YeomansRastko Sknepnek
Published in: Physical review letters (2023)
We study the vertex model for epithelial tissue mechanics extended to include coupling between the cell shapes and tensions in cell-cell junctions. This coupling represents an active force which drives the system out of equilibrium and leads to the formation of nematic order interspersed with prominent, long-lived +1 defects. The defects in the nematic ordering are coupled to the shape of the cell tiling, affecting cell areas and coordinations. This intricate interplay between cell shape, size, and coordination provides a possible mechanism by which tissues could spontaneously develop long-range polarity through local mechanical forces without resorting to long-range chemical patterning.
Keyphrases
  • single cell
  • cell therapy
  • stem cells
  • gene expression
  • mesenchymal stem cells
  • single molecule
  • electron transfer