Rhythmicity, Recurrence, and Recovery of Flagellar Beating

TL;DR

This paper investigates the rhythmicity, noise, and recovery dynamics of flagellar beating in extit{C. reinhardtii}, revealing complex fluctuations, correlations, and responses to perturbations that inform microscopic models.

Contribution

It provides new insights into the nonuniform, noisy, and recurrent nature of flagellar oscillations and their recovery after disturbances.

Findings

Waveform noise peaks at transition points between strokes

Interbeat interval fluctuations are correlated and recurrent

Physiological perturbations qualitatively alter beat dynamics

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.