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From the same journal

Nonlinear instability in flagellar dynamics: A novel modulation mechanism in sperm migration?

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Nonlinear instability in flagellar dynamics : A novel modulation mechanism in sperm migration? / Gadelha, Hermes; Gaffney, E. A.; Smith, D. J.; Kirkman-Brown, J. C.

In: Interface, Vol. 7, No. 53, 06.12.2010, p. 1689-1697.

Research output: Contribution to journalArticlepeer-review

Harvard

Gadelha, H, Gaffney, EA, Smith, DJ & Kirkman-Brown, JC 2010, 'Nonlinear instability in flagellar dynamics: A novel modulation mechanism in sperm migration?', Interface, vol. 7, no. 53, pp. 1689-1697. https://doi.org/10.1098/rsif.2010.0136

APA

Gadelha, H., Gaffney, E. A., Smith, D. J., & Kirkman-Brown, J. C. (2010). Nonlinear instability in flagellar dynamics: A novel modulation mechanism in sperm migration? Interface, 7(53), 1689-1697. https://doi.org/10.1098/rsif.2010.0136

Vancouver

Gadelha H, Gaffney EA, Smith DJ, Kirkman-Brown JC. Nonlinear instability in flagellar dynamics: A novel modulation mechanism in sperm migration? Interface. 2010 Dec 6;7(53):1689-1697. https://doi.org/10.1098/rsif.2010.0136

Author

Gadelha, Hermes ; Gaffney, E. A. ; Smith, D. J. ; Kirkman-Brown, J. C. / Nonlinear instability in flagellar dynamics : A novel modulation mechanism in sperm migration?. In: Interface. 2010 ; Vol. 7, No. 53. pp. 1689-1697.

Bibtex - Download

@article{50eec08c46094adb841efd4d3a69d392,
title = "Nonlinear instability in flagellar dynamics: A novel modulation mechanism in sperm migration?",
abstract = "Throughout biology, cells and organisms use flagella and cilia to propel fluid and achieve motility. The beating of these organelles, and the corresponding ability to sense, respond to and modulate this beat is central to many processes in health and disease. While the mechanics of flagellum-fluid interaction has been the subject of extensive mathematical studies, these models have been restricted to being geometrically linear or weakly nonlinear, despite the high curvatures observed physiologically. We study the effect of geometrical nonlinearity, focusing on the spermatozoon flagellum. For a wide range of physiologically relevant parameters, the nonlinear model predicts that flagellar compression by the internal forces initiates an effective buckling behaviour, leading to a symmetry-breaking bifurcation that causes profound and complicated changes in the waveform and swimming trajectory, as well as the breakdown of the linear theory. The emergent waveform also induces curved swimming in an otherwise symmetric system, with the swimming trajectory being sensitive to head shape - no signalling or asymmetric forces are required. We conclude that nonlinear models are essential in understanding the flagellar waveform in migratory human sperm; these models will also be invaluable in understanding motile flagella and cilia in other systems.",
keywords = "Asymmetric waveforms, Buckling instability, Internally driven filaments, Nonlinear flagellar dynamics, Sperm motility, Symmetry breaking",
author = "Hermes Gadelha and Gaffney, {E. A.} and Smith, {D. J.} and Kirkman-Brown, {J. C.}",
year = "2010",
month = dec,
day = "6",
doi = "10.1098/rsif.2010.0136",
language = "English",
volume = "7",
pages = "1689--1697",
journal = "Interface",
issn = "1742-5689",
publisher = "Royal Society of London",
number = "53",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Nonlinear instability in flagellar dynamics

T2 - A novel modulation mechanism in sperm migration?

AU - Gadelha, Hermes

AU - Gaffney, E. A.

AU - Smith, D. J.

AU - Kirkman-Brown, J. C.

PY - 2010/12/6

Y1 - 2010/12/6

N2 - Throughout biology, cells and organisms use flagella and cilia to propel fluid and achieve motility. The beating of these organelles, and the corresponding ability to sense, respond to and modulate this beat is central to many processes in health and disease. While the mechanics of flagellum-fluid interaction has been the subject of extensive mathematical studies, these models have been restricted to being geometrically linear or weakly nonlinear, despite the high curvatures observed physiologically. We study the effect of geometrical nonlinearity, focusing on the spermatozoon flagellum. For a wide range of physiologically relevant parameters, the nonlinear model predicts that flagellar compression by the internal forces initiates an effective buckling behaviour, leading to a symmetry-breaking bifurcation that causes profound and complicated changes in the waveform and swimming trajectory, as well as the breakdown of the linear theory. The emergent waveform also induces curved swimming in an otherwise symmetric system, with the swimming trajectory being sensitive to head shape - no signalling or asymmetric forces are required. We conclude that nonlinear models are essential in understanding the flagellar waveform in migratory human sperm; these models will also be invaluable in understanding motile flagella and cilia in other systems.

AB - Throughout biology, cells and organisms use flagella and cilia to propel fluid and achieve motility. The beating of these organelles, and the corresponding ability to sense, respond to and modulate this beat is central to many processes in health and disease. While the mechanics of flagellum-fluid interaction has been the subject of extensive mathematical studies, these models have been restricted to being geometrically linear or weakly nonlinear, despite the high curvatures observed physiologically. We study the effect of geometrical nonlinearity, focusing on the spermatozoon flagellum. For a wide range of physiologically relevant parameters, the nonlinear model predicts that flagellar compression by the internal forces initiates an effective buckling behaviour, leading to a symmetry-breaking bifurcation that causes profound and complicated changes in the waveform and swimming trajectory, as well as the breakdown of the linear theory. The emergent waveform also induces curved swimming in an otherwise symmetric system, with the swimming trajectory being sensitive to head shape - no signalling or asymmetric forces are required. We conclude that nonlinear models are essential in understanding the flagellar waveform in migratory human sperm; these models will also be invaluable in understanding motile flagella and cilia in other systems.

KW - Asymmetric waveforms

KW - Buckling instability

KW - Internally driven filaments

KW - Nonlinear flagellar dynamics

KW - Sperm motility

KW - Symmetry breaking

UR - http://www.scopus.com/inward/record.url?scp=78649874046&partnerID=8YFLogxK

U2 - 10.1098/rsif.2010.0136

DO - 10.1098/rsif.2010.0136

M3 - Article

C2 - 20462879

AN - SCOPUS:78649874046

VL - 7

SP - 1689

EP - 1697

JO - Interface

JF - Interface

SN - 1742-5689

IS - 53

ER -