Synchronization in cilia carpets and the Kuramoto model with local coupling: breakup of global synchronization in the presence of noise

Abstract

Carpets of beating cilia represent a paradigmatic example of self-organized synchronization of noisy biological oscillators, characterized by traveling waves of cilia phase. We present a multi-scale model of a cilia carpet, which comprises realistic hydrodynamic interactions between cilia computed for a chiral cilia beat pattern from unicellular Paramecium and active noise of the cilia beat. We demonstrate an abrupt loss of global synchronization beyond a characteristic noise strength. We characterize stochastic transitions between synchronized and disordered dynamics, which generalizes the notion of phase slips in pairs of coupled noisy phase oscillators. Our theoretical work establishes a link between the two-dimensional Kuramoto model of phase oscillators with mirror-symmetric oscillator coupling and detailed models of biological oscillators with asymmetric, chiral interactions.

18 pages, 8 figures. A previous submission arXiv:2012.11741 had been split into two manuscripts: arXiv:2012.11741v2 and this submittal

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Cited by in corpus (4)

• Spontaneous phase coordination and fluid pumping in model ciliary carpets
• Nonreciprocal interactions give rise to fast cilium synchronisation in finite systems
• Robust formation of metachronal waves in directional chains of phase oscillators
• Chiral Active Matter