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A Microfluidic Technique to Probe Cell Deformability
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Analytical methods for cytoplasmic streaming in elongated cells.

Pyae Hein Htet1, Eric Lauga1

  • 1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom.

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|March 19, 2025
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Cytoplasmic streaming, essential for cellular transport, is modeled using lubrication theory. This approach accurately predicts fluid dynamics and stresses in diverse cell types like embryos and plant cells.

Keywords:
cellular biophysicscortexcytoplasmic streamingfluid dynamicsintracellular flow

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Area of Science:

  • Cellular biophysics
  • Fluid mechanics
  • Eukaryotic cell biology

Background:

  • Cytoplasmic streaming facilitates transport and mixing in eukaryotic cells.
  • Flows are often driven by boundary forces (e.g., cytoskeletal contractions, cargo transport).
  • These flows are Newtonian and described by Stokes equations.

Purpose of the Study:

  • To derive a general solution for boundary-driven cytoplasmic flows using lubrication theory.
  • To apply this framework to predict fluid dynamics and cortical stresses in key biological systems.

Main Methods:

  • Utilized lubrication theory to simplify fluid mechanics equations for elongated geometries.
  • Derived general solutions for boundary-driven cytoplasmic flows.
  • Applied the derived solutions to specific biological models.

Main Results:

  • Developed a general solution for cytoplasmic streaming using asymptotic methods.
  • Predicted cytoplasmic fluid dynamics and cortical stresses in Drosophila and C. elegans embryos, pollen tubes, and root hair cells.
  • Demonstrated the accuracy of lubrication theory in diverse cellular contexts.

Conclusions:

  • Lubrication theory provides an elegant and accurate method for analyzing cytoplasmic streaming.
  • Asymptotic solutions are a robust tool for understanding cellular biophysics and complex flow patterns.
  • The framework is applicable to various biological systems, offering insights into cellular transport mechanisms.