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Flagellar Hydrodynamics
Abstract
Sections 1 and 2 give a general overview of biofluiddynamic aspects of microorganisms possessing flagella and of related organisms, followed by more detailed accounts of (i) motions in eukaryotic flagellates (protozoans and algae), based on the propagation of “bends” along flagella with the characteristic “9+2” structure, (ii) motions in bacteria propelled by “bundles” of flagellar filaments of quite different structure, each driven by a “rotary motor” at its base. For analyzing all these motions, it is argued that a true “flagellar hydrodynamics” is now needed. This should replace the “flagellar dynamics” (representing the fluid medium by crude resistance coefficients) which hitherto has been universally used, but whose accuracy is insufficient for the modern microbiologist’s requirements. Mathematical methods are applied to initiate the development of such a flagellar hydrodynamics in § 3. Finally, in § 4, its conclusions are summarized in nonmathematical language.
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In Newtonian fluids of known viscosity, values of drag coefficients can be determined from slender body theory, using equations due to Lighthill (1976).
“In Newtonian fluids of known viscosity, values of drag coefficients can be determined from slender body theory, using equations due to Lighthill (1976)”
From Gait Modulation in C. elegans: An Integrated Neuromechanical Model (2012) · cites this paper as Lighthill (1976)
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Cited by
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Gait Modulation in C. elegans: An Integrated Neuromechanical Model
Boyle, J. H., Berri, S., & Cohen, N. (2012) · Frontiers in Computational Neuroscience · doi:10.3389/fncom.2012.00010 · Cited by 148
Swimming at low Reynolds number: a beginners guide to undulatory locomotion
Cohen, N., & Boyle, J. H. (2010) · Contemporary Physics · doi:10.1080/00107510903268381 · Cited by 110
From head to tail: a neuromechanical model of forward locomotion in Caenorhabditis elegans
Izquierdo, E. J., & Beer, R. D. (2018) · Philosophical Transactions of the Royal Society B: Biological Sciences · doi:10.1098/rstb.2017.0374 · Cited by 56
Metadata
- Authors
- Lighthill, J.
- Venue
- SIAM Review
- Published
- 1976-04
- Volume
- 18
- Issue
- 2
- Pages
- 161-230
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W4239173138
- Cited by
- 738
- References
- 0
- Citations by year
- 2026: 18 · 2025: 32 · 2024: 24 · 2023: 20 · 2022: 33 · 2021: 47 · 2020: 62 · 2019: 33 · 2018: 34 · 2017: 35 · 2016: 29 · 2015: 26 · 2014: 43 · 2013: 36 · 2012: 29
- FWCI
- 3.25
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- SIAM Review (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Micro and Nano Robotics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Bacterial Genetics and Biotechnology
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Microtubule and mitosis dynamics
- Keywords
- flagellar hydrodynamics, microorganism locomotion, protozoa, algae, bacterial flagellum, rotary motor, flagellar bending, biofluid dynamics
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