Rhythmicity, Recurrence, and Recovery of Flagellar Beating

Abstract

The eukaryotic flagellum beats with apparently unfailing periodicity, yet responds rapidly to stimuli. Like the human heartbeat, flagellar oscillations are now known to be noisy. Using the alga \textit{C. reinhardtii}, we explore three aspects of nonuniform flagellar beating. We report the existence of rhythmicity, waveform noise peaking at transitions between power and recovery strokes, and fluctuations of interbeat intervals that are correlated and even recurrent, with memory extending to hundreds of beats. These features are altered qualitatively by physiological perturbations. Further, we quantify the recovery of periodic breastroke beating from transient hydrodynamic forcing. These results will help constrain microscopic theories on the origins and regulation of flagellar beating.

arXiv comment5 pages, 4 figures

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• Motility of Colonial Choanoflagellates and the Statistics of Aggregate Random Walkers
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• Methods and measures for investigating microscale motility
• The younger flagellum coordinates the beating in C. reinhardtii
• Statistical Inference of 1D Persistent Nonlinear Time Series and Application to Predictions
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• Three-dimensional chiral active Ornstein-Uhlenbeck model for helical motion of microorganisms
• Inferring nonlinear fractional diffusion processes from single trajectories
• Dynamic Force Measurements on Swimming Chlamydomonas Cells using Micropipette Force Sensors
• Role of activity and dissipation in achieving precise beating in cilia: Insights from the rower model
• Nonlinear dynamics and fluctuations in biological systems (Habilitation thesis)