Hydrodynamic phase-locking of swimming microorganisms
Gwynn J. Elfring, Eric Lauga

TL;DR
This study demonstrates that hydrodynamic forces alone can cause synchronization of swimming microorganisms' flagella, driven by geometric asymmetry, influencing their energy efficiency and phase-locking behavior.
Contribution
The paper introduces a simplified two-sheet model showing hydrodynamic phase-locking arises solely from geometric asymmetry, advancing understanding of microorganism synchronization mechanisms.
Findings
Hydrodynamic forces induce phase-locking in microorganisms.
Geometric asymmetry determines phase evolution and synchronization.
Microorganisms can minimize or maximize energy dissipation through phase-locking.
Abstract
Some microorganisms, such as spermatozoa, synchronize their flagella when swimming in close proximity. Using a simplified model (two infinite, parallel, two-dimensional waving sheets), we show that phase-locking arises from hydrodynamics forces alone, and has its origin in the front-back asymmetry of the geometry of their flagellar waveform. The time-evolution of the phase difference between co-swimming cells depends only on the nature of this geometrical asymmetry, and microorganisms can phase-lock into conformations which minimize or maximize energy dissipation.
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