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Hydrodynamic synchronization between objects with cyclic rigid trajectories.

Nariya Uchida1, Ramin Golestanian

  • 1Department of Physics, Tohoku University, Sendai, Japan. uchida@cmpt.phys.tohoku.ac.jp

The European Physical Journal. E, Soft Matter
|January 15, 2013
PubMed
Summary
This summary is machine-generated.

Hydrodynamic interactions can synchronize cilia and flagella beating. This study shows that rigid rotors, not flexible structures, can achieve synchronized motion through hydrodynamic forces, challenging prior assumptions.

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Area of Science:

  • Physics
  • Biophysics
  • Fluid Dynamics

Background:

  • Coordinated beating of cilia and flagella is crucial for biological processes.
  • Long-range hydrodynamic interactions are a proposed mechanism for this synchronization.

Purpose of the Study:

  • To investigate hydrodynamic synchronization in a minimal model of cilia and flagella.
  • To determine the conditions for in-phase synchronization of rotors under hydrodynamic forces.

Main Methods:

  • Utilized a low Reynolds number model with rigid rotors subjected to periodic driving forces.
  • Performed linear analysis to derive synchronization conditions.
  • Developed a non-linear evolution equation for phase difference, reducible to effective potential minimization.

Main Results:

  • Derived necessary and sufficient conditions for in-phase synchronization of rotor pairs.
  • Identified stable and metastable states by calculating effective potentials for various geometries and trajectory shapes.
  • Demonstrated that trajectory asymmetry and tilt significantly influence synchronization.

Conclusions:

  • Cilia and flagella flexibility is not required for synchronized motion.
  • The model provides a framework for understanding hydrodynamic synchronization.
  • Optically driven colloids offer a potential experimental validation method.