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Synchronization of rotating helices by hydrodynamic interactions.

M Reichert1, H Stark

  • 1Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany. michael.reichert@uni-konstanz.de

The European Physical Journal. E, Soft Matter
|August 13, 2005
PubMed
Summary

Hydrodynamic interactions synchronize rotating bacterial flagella. Synchronization speed depends on trap stiffness, decreasing as stiffness increases, with no synchronization at infinite stiffness.

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Area of Science:

  • Microbiology and Biophysics
  • Fluid Dynamics

Background:

  • Bacteria utilize rotating helical flagella for locomotion in low Reynolds number environments.
  • Viscous forces dominate at low Reynolds numbers, making hydrodynamic interactions crucial for microbial movement.
  • Synchronized rotation of flagellar bundles is a common phenomenon in motile bacteria.

Purpose of the Study:

  • To investigate the role of hydrodynamic interactions in the synchronization and bundling of bacterial flagella.
  • To determine if fluid dynamics alone can explain the coordinated rotation of multiple flagella.

Main Methods:

  • Modeling two stiff helices as rigidly connected beads, ignoring elastic deformation.
  • Applying constant and equal torques to drive helix rotation.
  • Anchoring terminal beads in harmonic traps to fix the helices in space.

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Main Results:

  • Hydrodynamic interactions were observed to synchronize helix rotations for finite trap strengths.
  • The speed of phase synchronization decreased as the stiffness of the harmonic traps increased.
  • In the limit of infinite trap stiffness, synchronization was completely inhibited.

Conclusions:

  • Hydrodynamic interactions are a significant factor in the synchronization of rotating flagella.
  • The degree of synchronization is modulated by external constraints, such as anchoring.
  • This study provides a biophysical mechanism for flagellar bundling and coordinated motion in bacteria.