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Long-range interactions, wobbles, and phase defects in chains of model cilia

Douglas R. Brumley1,2, Nicolas Bruot3,4, Jurij Kotar4, Raymond E. Goldstein5, Pietro Cicuta4, and Marco Polin6,*

  • 1Ralph M. Parsons Laboratory, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Civil, Environmental and Geomatic Engineering, ETH Zürich, 8093 Zürich, Switzerland
  • 3Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
  • 4Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom
  • 5Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 6Physics Department, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom

  • *M.Polin@warwick.ac.uk
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Phys. Rev. Fluids 1, 081201(R) – Published 13 December, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.081201

Abstract

Eukaryotic cilia and flagella are chemo-mechanical oscillators capable of generating long-range coordinated motions known as metachronal waves. Pair synchronization is a fundamental requirement for these collective dynamics, but it is generally not sufficient for collective phase-locking, chiefly due to the effect of long-range interactions. Here we explore experimentally and numerically a minimal model for a ciliated surface: hydrodynamically coupled oscillators rotating above a no-slip plane. Increasing their distance from the wall profoundly affects the global dynamics, due to variations in hydrodynamic interaction range. The array undergoes a transition from a traveling wave to either a steady chevron pattern or one punctuated by periodic phase defects. Within the transition between these regimes the system displays behavior reminiscent of chimera states.

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Phys. Rev. Fluids 1, 081201(R)– Published 13 December, 2016
  • Received 1 June 2016
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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