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Sperm are propelled by bending waves travelling along the flagellum. During steering in gradients of sensory cues, sperm adjust the flagellar beat waveform. Symmetric and asymmetric beat waveforms produce straight and curved swimming paths,…

The propulsion of mammalian spermatozoa relies on the spontaneous periodic oscillation of their flagella. These oscillations are driven internally by the coordinated action of ATP-powered dynein motors that exert sliding forces between…

Fluid Dynamics · Physics 2022-10-13 Chenji Li , Brato Chakrabarti , Pedro Castilla , Achal Mahajan , David Saintillan

Active swimmers are ubiquitous in nature, found in many diverse biological systems ranging from bacteria to vertebrate fish. Of particular importance are sperm cells which are swimmers that are crucial for the survival of many species…

Biological Physics · Physics 2017-11-15 James L. Kingsley , Utkan Demirci , Erkan Tuzel

In a low Reynolds number fluid environment that microswimmers encounter, back-and-forth motion cannot lead to net displacement. In mammalian sperm, the mechanical wave propagating along their single flagellum breaks the cancellation between…

Changes in calcium concentration along the sperm flagellum regulate sperm motility and hyperactivation, characterized by an increased flagellar bend amplitude and beat asymmetry, enabling the sperm to reach and penetrate the ovum (egg). The…

Numerical Analysis · Mathematics 2019-10-21 Lucia Carichino , Sarah D. Olson

Motivated by the swimming of sperm in the non-Newtonian fluids of the female mammalian reproductive tract, we examine the swimming of filaments in the nonlinear viscoelastic Upper Convected Maxwell model. We obtain the swimming velocity and…

Soft Condensed Matter · Physics 2009-11-13 Henry C. Fu , Thomas R. Powers , Charles W. Wolgemuth

Sperm swimming is crucial to fertilise the egg, in nature and in assisted reproductive technologies. Modelling the sperm dynamics involves elasticity, hydrodynamics, internal active forces, and out-of-equilibrium noise. Here we demonstrate…

Soft Condensed Matter · Physics 2023-06-26 C. Maggi , B. Nath , F. Saglimbeni , V. Carmona Sosa , R. Di Leonardo , A. Puglisi

A major puzzle in biology is how mammalian sperm determine and maintain the correct swimming direction during the various phases of the sexual reproduction process. Whilst chemotaxis is assumed to dominate in the immediate vicinity of the…

Biological Physics · Physics 2014-05-27 Vasily Kantsler , Jörn Dunkel , Martyn Blayney , Raymond E. Goldstein

Swimming cells and microorganisms are as diverse in their collective dynamics as they are in their individual shapes and propulsion mechanisms. Even for sperm cells, which have a stereotyped shape consisting of a cell body connected to a…

Fluid Dynamics · Physics 2018-06-25 S. F. Schoeller , E. E. Keaveny

The journey of mammalian spermatozoa in nature is well-known to be reliant on their individual motility. Often swimming in crowded microenvironments, the progress of any single swimmer is likely dependent on their interactions with other…

Fluid Dynamics · Physics 2019-09-11 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney

Sperm swimming at low Reynolds number have strong hydrodynamic interactions when their concentration is high in vivo or near substrates in vitro. The beating tails not only propel the sperm through a fluid, but also create flow fields…

Biological Physics · Physics 2009-01-09 Yingzi Yang , Jens Elgeti , Gerhard Gompper

Flagellar motility is critical to natural and many forms of assisted reproduction. Rhythmic beating and wave propagation by the flagellum propels sperm through fluid and enables modulation between penetrative progressive motion, activated…

Biological Physics · Physics 2023-03-02 Meurig T Gallagher , Jackson C Kirkman-Brown , David J Smith

Eukaryotes swim with coordinated flagellar (ciliary) beating and steer by fine-tuning the coordination. The model organism for studying flagellate motility, C. reinhardtii (CR), employs synchronous, breast-stroke-like flagellar beating to…

Biological Physics · Physics 2024-06-12 Da Wei , Greta Quaranta , Marie-Eve Aubin-Tam , Daniel S. W. Tam

In a fluid environment, flagellated microswimmers propel themselves by rotating their flagella. The morphology of these flagella significantly influences forward speed, swimming efficiency, and directional stability, which are critical for…

Fluid Dynamics · Physics 2025-06-25 Baopi Liu , Lu Chen , Wenjun Xu

Sperm cooperation has evolved in a variety of taxa and is often considered a response to sperm competition, yet the benefit of this form of collective movement remains unclear. Here we use fine-scale imaging and a minimal mathematical model…

Cell Behavior · Quantitative Biology 2014-07-03 H. S. Fisher , L. Giomi , H. E. Hoekstra , L. Mahadevan

Many biological microorganisms and artificial microswimmers react to external cues of environmental gradients by changing their swimming directions. We study here the behavior of eukarytic flagellated microswimmers in linear viscosity…

Soft Condensed Matter · Physics 2026-05-29 Shubham Anand , Jens Elgeti , Gerhard Gompper

Sperm traverse their microenvironment through viscous fluid by propagating flagellar waves; the waveform emerges as a consequence of elastic structure, internal active moments, and low Reynolds number fluid dynamics. Engineered…

Fluid Dynamics · Physics 2015-02-19 Thomas Montenegro-Johnson , Hermes Gadelha , David J. Smith

Many biological microswimmers can modulate their swimming gait to achieve directional control of motility, especially when performing steering towards specific directional cues. This can be achieved without the need for obvious…

Cilia and flagella are actively bending slender organelles, performing functions such as motility, feeding and embryonic symmetry breaking. We review the mechanics of viscous-dominated microscale flow, including time-reversal symmetry, drag…

Quantitative Methods · Quantitative Biology 2013-09-06 Thomas D. Montenegro-Johnson , Andrew A. Smith , David J. Smith , Daniel Loghin , John R. Blake

When swimming in close proximity, some microorganisms such as spermatozoa synchronize their flagella. Previous work on swimming sheets showed that such synchronization requires a geometrical asymmetry in the flagellar waveforms. Here we…

Fluid Dynamics · Physics 2011-08-31 Gwynn J. Elfring , Eric Lauga
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