Elastohydrodynamic synchronization of rotating bacterial flagella
arXiv:2203.15762 · doi:10.1103/PhysRevLett.128.208101
Abstract
To rotate continuously without jamming, the flagellar filaments of bacteria need to be locked in phase. While several models have been proposed for eukaryotic flagella, the synchronization of bacterial flagella is less well understood. Starting from a reduced model of flexible and hydrodynamically-coupled bacterial flagella, we rigorously coarse-grain the equations of motion using the method of multiple scales, and hence show that bacterial flagella generically synchronize to zero phase difference via an elastohydrodynamic mechanism. Remarkably, the far-field rate of synchronization is maximized at an intermediate value of elastic compliance, with surprising implications for bacteria.
arXiv comment18 pages, 6 figures, 2 tables. Accepted for publication in Physical Review Letters: https://journals.aps.org/prl/accepted/f3071Yc1T031a78775a87695a0e87c6e9330aa8c8
References in corpus (14)
- Hydrodynamic flow patterns and synchronization of beating cilia
- Coordinated Beating of Algal Flagella is Mediated by Basal Coupling
- Generic Conditions for Hydrodynamic Synchronization
- Synchronization of rotating helices by hydrodynamic interactions
- Cell body rocking is a dominant mechanism for flagellar synchronization in a swimming alga
- Minimal Model for Hydrodynamic Synchronization
- Bistability in the synchronization of actuated microfilaments
- Synchronization of flexible sheets
- Passive hydrodynamic synchronization of two-dimensional swimming cells
- Phase Dependent Forcing and Synchronization in the three-sphere model of Chlamydomonas
- Hydrodynamic synchronization of spontaneously beating filaments
- Multisynchrony in active microfilaments
- Energetics of synchronisation for model flagella and cilia
- Hydrodynamic synchronisation in strong confinement