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Coordinated motion of active filaments on spherical surfaces

Timothy A. Westwood* and Eric E. Keaveny

  • Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom

  • *t.westwood16@imperial.ac.uk
  • e.keaveny@imperial.ac.uk

Phys. Rev. Fluids 6, L121101 – Published 27 December, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.L121101

Abstract

Coordinated cilia are used throughout the natural world for micronscale fluid transport. They are often modeled with regular filament arrays on fixed planar surfaces. Here we simulate hundreds of interacting active filaments on spherical surfaces, where defects in the cilia displacement field must be present. We see synchronized beating towards or about two defects for spheres held fixed. Defects alter filament beating, which causes the sphere to move once released. This motion feeds back to the filaments, resulting in a whirling state with metachronal behavior along the equator.

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