  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.
