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Human sperm steer with second harmonics of the flagellar beat

Photo by nci from unsplash

Sperm are propelled by bending waves traveling along their flagellum. For steering in gradients of sensory cues, sperm adjust the flagellar waveform. Symmetric and asymmetric waveforms result in straight and… Click to show full abstract

Sperm are propelled by bending waves traveling along their flagellum. For steering in gradients of sensory cues, sperm adjust the flagellar waveform. Symmetric and asymmetric waveforms result in straight and curved swimming paths, respectively. Two mechanisms causing spatially asymmetric waveforms have been proposed: an average flagellar curvature and buckling. We image flagella of human sperm tethered with the head to a surface. The waveform is characterized by a fundamental beat frequency and its second harmonic. The superposition of harmonics breaks the beat symmetry temporally rather than spatially. As a result, sperm rotate around the tethering point. The rotation velocity is determined by the second-harmonic amplitude and phase. Stimulation with the female sex hormone progesterone enhances the second-harmonic contribution and, thereby, modulates sperm rotation. Higher beat frequency components exist in other flagellated cells; therefore, this steering mechanism might be widespread and could inspire the design of synthetic microswimmers.The mechanism allowing sperm to steer is not fully understood. The authors find that superposition of two harmonic waves breaks the flagellar beat symmetry temporally rather than spatially, and that this mechanism is enhanced by the sexual hormone progesterone, which changes the motility pattern.

Keywords: sperm steer; beat; human sperm; flagellar beat; harmonics; second harmonic

Journal Title: Nature Communications
Year Published: 2017

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