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In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling

Reference

Gary S Klindt, Christian Ruloff, Christian Wagner, Benjamin M Friedrich, "In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling" , In New Journal of Physics, vol. 19, no. 11, pp. 113052, 2017.

Abstract

We present a theory of flagellar synchronization in the green alga Chlamydomonas , using full treatment of flagellar hydrodynamics and measured beat patterns. We find that two recently proposed synchronization mechanisms, flagellar waveform compliance and basal coupling, stabilize anti-phase synchronization (AP) if operative in isolation. Their nonlinear superposition, however, can stabilize in-phase synchronization (IP) for suitable parameter choices, matching experimental observations. Our theory is based on a description of the flagellar beat as a limit-cycle oscillator, which was introduced and calibrated by experimental data in a recent letter (Klindt et al 2016 Phys. Rev. Lett. 117 258101). Using a minimal model of basal coupling, we identify regimes of IP, AP and even out-of-phase synchronization with spontaneous symmetry-breaking in this system of two identical coupled oscillators as a function of an effective strength of basal coupling. From our theory, we quantitatively predict different synchronization dynamics in fluids of increased viscosity or external flow, suggesting a non-invasive way to control synchronization by hydrodynamic coupling.

Bibtex

@article{1367-2630-19-11-113052,
author={Gary S Klindt and Christian Ruloff and Christian Wagner and Benjamin M Friedrich},
title={In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling},
journal={New Journal of Physics},
volume={19},
number={11},
pages={113052},
url={http://stacks.iop.org/1367-2630/19/i=11/a=113052},
year={2017},
abstract={We present a theory of flagellar synchronization in the green alga Chlamydomonas , using full treatment of flagellar hydrodynamics and measured beat patterns. We find that two recently proposed synchronization mechanisms, flagellar waveform compliance and basal coupling, stabilize anti-phase synchronization (AP) if operative in isolation. Their nonlinear superposition, however, can stabilize in-phase synchronization (IP) for suitable parameter choices, matching experimental observations. Our theory is based on a description of the flagellar beat as a limit-cycle oscillator, which was introduced and calibrated by experimental data in a recent letter (Klindt et al 2016 Phys. Rev. Lett. 117 258101). Using a minimal model of basal coupling, we identify regimes of IP, AP and even out-of-phase synchronization with spontaneous symmetry-breaking in this system of two identical coupled oscillators as a function of an effective strength of basal coupling. From our theory, we quantitatively predict different synchronization dynamics in fluids of increased viscosity or external flow, suggesting a non-invasive way to control synchronization by hydrodynamic coupling.}
}

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