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

Content Provider	PubMed Central
Author	Gadêlha, H. Gaffney, E. A. Smith, D. J. Kirkman-brown, J. C.
Copyright Year	2010
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.
Related Links	http://dx.doi.org/10.1098/rsif.2010.0136
Ending Page	1697
Page Count	9
Starting Page	1689
File Format	PDF
ISSN	17425689
e-ISSN	17425662
Journal	Journal of the Royal Society Interface
Issue Number	53
Volume Number	7
Language	English
Publisher	The Royal Society
Publisher Date	2010-12-06
Access Restriction	Open
Rights Holder	The Royal Society
Subject Keyword	Biotechnology Biophysics Biochemistry Bioengineering Biomaterials Biomedical Engineering Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Biochemistry Biomaterials Biophysics Bioengineering Biomedical Engineering Biotechnology

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