Flagellar hydrodynamics. A comparison between resistive-force theory and slender-body theory - PubMed (original) (raw)
Comparative Study
Flagellar hydrodynamics. A comparison between resistive-force theory and slender-body theory
R E Johnson et al. Biophys J. 1979 Jan.
Abstract
This paper investigates the accuracy of the resistive-force theory (Gray and Hancock method) which is commonly used for hydrodynamic analysis of swimming flagella. We made a comparison between the forces, bending moments, and shear moments calculated by resistive-force theory and by the more accurate slender-body theory for large-amplitude, planar wave forms computed for a flagellar model. By making an upward empirical adjustment, by about 35%, of the classical drag coefficient values used in the resistive-force theory calculations, we obtained good agreement between the distributions of the forces and moments along the length of the flagellum predicted by the two methods when the flagellum has no cell body attached. After this adjustment, we found the rate of energy expenditure calculated by the two methods for the few typical test cases to be almost identical. The resistive-force theory is thus completely satisfactory for use in analysis of mechanisms for the control of flagellar bending, at the current level of sophistication of this analysis. We also examined the effects of the presence of a cell body attached to one end of the flagellum, which modifies the flow field experienced by the flagellum. This interaction, which is not considered in resistive-force theory, is probably insignificant for small cell bodies, such as the heads of simple spermatozoa, but for larger cell bodies, or cell bodies that have large-amplitude motions transverse to the swimming direction, use of slender-body theory is required for accurate analysis.
Similar articles
- Empirical resistive-force theory for slender biological filaments in shear-thinning fluids.
Riley EE, Lauga E. Riley EE, et al. Phys Rev E. 2017 Jun;95(6-1):062416. doi: 10.1103/PhysRevE.95.062416. Epub 2017 Jun 23. Phys Rev E. 2017. PMID: 28709329 - High-precision tracking of sperm swimming fine structure provides strong test of resistive force theory.
Friedrich BM, Riedel-Kruse IH, Howard J, Jülicher F. Friedrich BM, et al. J Exp Biol. 2010 Apr;213(Pt 8):1226-34. doi: 10.1242/jeb.039800. J Exp Biol. 2010. PMID: 20348333 - Functional roles of the transverse and longitudinal flagella in the swimming motility of Prorocentrum minimum (Dinophyceae).
Miyasaka I, Nanba K, Furuya K, Nimura Y, Azuma A. Miyasaka I, et al. J Exp Biol. 2004 Aug;207(Pt 17):3055-66. doi: 10.1242/jeb.01141. J Exp Biol. 2004. PMID: 15277560 - Propulsion of microorganisms by a helical flagellum.
Rodenborn B, Chen CH, Swinney HL, Liu B, Zhang HP. Rodenborn B, et al. Proc Natl Acad Sci U S A. 2013 Jan 29;110(5):E338-47. doi: 10.1073/pnas.1219831110. Epub 2013 Jan 14. Proc Natl Acad Sci U S A. 2013. PMID: 23319607 Free PMC article. - Flagellar motility in bacteria structure and function of flagellar motor.
Terashima H, Kojima S, Homma M. Terashima H, et al. Int Rev Cell Mol Biol. 2008;270:39-85. doi: 10.1016/S1937-6448(08)01402-0. Int Rev Cell Mol Biol. 2008. PMID: 19081534 Review.
Cited by
- Non-Stokesian dynamics of magnetic helical nanoswimmers under confinement.
Fazeli A, Thakore V, Ala-Nissila T, Karttunen M. Fazeli A, et al. PNAS Nexus. 2024 Apr 26;3(5):pgae182. doi: 10.1093/pnasnexus/pgae182. eCollection 2024 May. PNAS Nexus. 2024. PMID: 38765716 Free PMC article. - Methods and Measures for Investigating Microscale Motility.
Bondoc-Naumovitz KG, Laeverenz-Schlogelhofer H, Poon RN, Boggon AK, Bentley SA, Cortese D, Wan KY. Bondoc-Naumovitz KG, et al. Integr Comp Biol. 2023 Dec 29;63(6):1485-1508. doi: 10.1093/icb/icad075. Integr Comp Biol. 2023. PMID: 37336589 Free PMC article. Review. - Flagellum-driven cargoes: Influence of cargo size and the flagellum-cargo attachment geometry.
Bae AJ, Ahmad R, Bodenschatz E, Pumir A, Gholami A. Bae AJ, et al. PLoS One. 2023 Mar 10;18(3):e0279940. doi: 10.1371/journal.pone.0279940. eCollection 2023. PLoS One. 2023. PMID: 36897856 Free PMC article. - Acute beetroot juice consumption does not alter cerebral autoregulation or cardiovagal baroreflex sensitivity during lower-body negative pressure in healthy adults.
Worley ML, Reed EL, Chapman CL, Kueck P, Seymour L, Fitts T, Zazulak H, Schlader ZJ, Johnson BD. Worley ML, et al. Front Hum Neurosci. 2023 Jan 19;17:1115355. doi: 10.3389/fnhum.2023.1115355. eCollection 2023. Front Hum Neurosci. 2023. PMID: 36742355 Free PMC article. - The N -Link Swimmer in Three Dimensions: Controllability and Optimality Results.
Marchello R, Morandotti M, Shum H, Zoppello M. Marchello R, et al. Acta Appl Math. 2022;178(1):6. doi: 10.1007/s10440-022-00480-3. Epub 2022 Mar 8. Acta Appl Math. 2022. PMID: 35299996 Free PMC article.
References
- Biophys J. 1971 May;11(5):446-63 - PubMed
- J Exp Biol. 1965 Aug;43(1):155-69 - PubMed
- J Gen Physiol. 1968 Aug;52(2):283-99 - PubMed
- Annu Rev Biophys Bioeng. 1973;2:181-219 - PubMed
- Science. 1972 Nov 3;178(4060):455-62 - PubMed
Publication types
MeSH terms
LinkOut - more resources
Full Text Sources