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

Published version
Peer-reviewed

Type

Article

Change log

Authors

Brumley, DR 
Bruot, N 
Kotar, J 
Goldstein, RE 

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.

Description

Keywords

0299 Other Physical Sciences

Journal Title

Physical Review Fluids

Conference Name

Journal ISSN

2469-990X
2469-990X

Volume Title

1

Publisher

American Physical Soceity
Sponsorship
Wellcome Trust (097855/Z/11/Z)
Human Frontier Science Program; Wellcome Trust; EU ERC CoG Hydrosync