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Active flows and deformable surfaces in development.

Sami C Al-Izzi1, Richard G Morris1

  • 1School of Physics and EMBL Australia Node in Single Molecule Science, School of Medical Sciences, University of New South Wales - Sydney, 2052, Australia.

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|July 16, 2021
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Summary
This summary is machine-generated.

This review covers active hydrodynamic models for biological tissues. It highlights challenges in understanding active kinetic coefficients and the interplay of curvature and tissue deformability in developmental biology.

Keywords:
Active HydrodynamicsDifferential GeometryEpithelial SheetsMorphogenesis

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Area of Science:

  • Physics
  • Biophysics
  • Developmental Biology

Background:

  • Active hydrodynamic descriptions model flowing biological tissues.
  • These models are crucial for understanding tissue development and dynamics.

Purpose of the Study:

  • Review the state-of-the-art in active hydrodynamic descriptions for flowing tissues on curved, deformable manifolds.
  • Identify challenges and discuss the utility of these theories in developmental biology.

Main Methods:

  • Overview of activity, flows, and hydrodynamic descriptions.
  • Highlighting challenges in active kinetic coefficients.
  • Describing interactions between curvature, active flows, and deformable surfaces.

Main Results:

  • Generic challenges exist in defining active kinetic coefficients.
  • Curvature and active flows interact subtly on deformable surfaces.
  • The utility of these theories in developmental biology is broad but faces limitations.

Conclusions:

  • Active hydrodynamics provides a framework for studying flowing tissues.
  • Further development is needed to address analytical, numerical, and data-fitting challenges.
  • Future tools like discrete differential geometry may offer new solutions.