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Vertex model with internal dissipation enables sustained flows.

Jan Rozman1, Kvs Chaithanya2,3, Julia M Yeomans4

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Summary
This summary is machine-generated.

This study introduces a new model for tissue flow, replacing substrate friction with internal viscous dissipation. This allows for organized collective cell migration and tissue dynamics, crucial for early embryonic development.

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Area of Science:

  • Biophysics
  • Developmental Biology
  • Cellular Mechanics

Background:

  • Epithelial tissue flows are driven by complex intra- and inter-cellular mechanical forces.
  • Cell shape anisotropy, or nematic order, is increasingly recognized for its role in tissue dynamics.
  • Many early-stage embryos exhibit epithelia not supported by substrates, where internal viscous dissipation is dominant.

Purpose of the Study:

  • To extend active nematic vertex models by incorporating internal viscous dissipation.
  • To investigate the emergence of long-range velocity correlations and spatiotemporal organization in epithelial tissues.
  • To link cell-level vertex models to continuum active nematics for understanding tissue flow.

Main Methods:

  • Developed an active nematic vertex model.
  • Replaced substrate friction with internal viscous dissipation.
  • Simulated epithelial sheets confined to a channel.

Main Results:

  • Internal viscous dissipation, coupled with cell shape anisotropy, enables long-range velocity correlations.
  • Demonstrated sustained tissue flow in confined epithelial sheets.
  • Showed spontaneous emergence of highly organized spatiotemporal flows.

Conclusions:

  • Internal viscous dissipation is a key factor in generating organized tissue flows in substrate-free epithelia.
  • The model provides a mechanistic link between cell-level dynamics and continuum active nematics.
  • This mechanism may explain large-scale collective cell migration observed during morphogenesis.