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. 1988 Jan;53(1):53–65. doi: 10.1016/S0006-3495(88)83065-0

Torque and rotation rate of the bacterial flagellar motor.

P Läuger 1
PMCID: PMC1330121  PMID: 3342270

Abstract

This paper describes an analysis of microscopic models for the coupling between ion flow and rotation of bacterial flagella. In model I it is assumed that intersecting half-channels exist on the rotor and the stator and that the driving ion is constrained to move together with the intersection site. Model II is based on the assumption that ion flow drives a cycle of conformational transitions in a channel-like stator subunit that are coupled to the motion of the rotor. Analysis of both mechanisms yields closed expressions relating the torque M generated by the flagellar motor to the rotation rate v. Model I (and also, under certain assumptions, model II) accounts for the experimentally observed linear relationship between M and v. The theoretical equations lead to predictions on the relationship between rotation rate and driving force which can be tested experimentally.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Adam G. Model of the bacterial flagellar motor: response to varying viscous load. J Mechanochem Cell Motil. 1977 Dec;4(4):235–253. [PubMed] [Google Scholar]
  2. Adam G. Rotation of bacterial flagella as driven by cytomembrane streaming. J Theor Biol. 1977 Apr 21;65(4):713–726. doi: 10.1016/0022-5193(77)90017-0. [DOI] [PubMed] [Google Scholar]
  3. Berg H. C. Bacterial behaviour. Nature. 1975 Apr 3;254(5499):389–392. doi: 10.1038/254389a0. [DOI] [PubMed] [Google Scholar]
  4. Berg H. C. Chemotaxis in bacteria. Annu Rev Biophys Bioeng. 1975;4(00):119–136. doi: 10.1146/annurev.bb.04.060175.001003. [DOI] [PubMed] [Google Scholar]
  5. Berg H. C. Dynamic properties of bacterial flagellar motors. Nature. 1974 May 3;249(452):77–79. doi: 10.1038/249077a0. [DOI] [PubMed] [Google Scholar]
  6. Berg H. C., Manson M. D., Conley M. P. Dynamics and energetics of flagellar rotation in bacteria. Symp Soc Exp Biol. 1982;35:1–31. [PubMed] [Google Scholar]
  7. Berg H. C., Tedesco P. M. Transient response to chemotactic stimuli in Escherichia coli. Proc Natl Acad Sci U S A. 1975 Aug;72(8):3235–3239. doi: 10.1073/pnas.72.8.3235. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Berg H. C., Turner L. Movement of microorganisms in viscous environments. Nature. 1979 Mar 22;278(5702):349–351. doi: 10.1038/278349a0. [DOI] [PubMed] [Google Scholar]
  9. Block S. M., Berg H. C. Successive incorporation of force-generating units in the bacterial rotary motor. 1984 May 31-Jun 6Nature. 309(5967):470–472. doi: 10.1038/309470a0. [DOI] [PubMed] [Google Scholar]
  10. Coulton J. W., Murray R. G. Cell envelope associations of Aquaspirillum serpens flagella. J Bacteriol. 1978 Dec;136(3):1037–1049. doi: 10.1128/jb.136.3.1037-1049.1978. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Cox G. B., Jans D. A., Fimmel A. L., Gibson F., Hatch L. Hypothesis. The mechanism of ATP synthase. Conformational change by rotation of the beta-subunit. Biochim Biophys Acta. 1984 Dec 17;768(3-4):201–208. doi: 10.1016/0304-4173(84)90016-8. [DOI] [PubMed] [Google Scholar]
  12. Cross R. L. The mechanism and regulation of ATP synthesis by F1-ATPases. Annu Rev Biochem. 1981;50:681–714. doi: 10.1146/annurev.bi.50.070181.003341. [DOI] [PubMed] [Google Scholar]
  13. DePamphilis M. L., Adler J. Fine structure and isolation of the hook-basal body complex of flagella from Escherichia coli and Bacillus subtilis. J Bacteriol. 1971 Jan;105(1):384–395. doi: 10.1128/jb.105.1.384-395.1971. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Glagolev A. N., Skulachev V. P. The proton pump is a molecular engine of motile bacteria. Nature. 1978 Mar 16;272(5650):280–282. doi: 10.1038/272280a0. [DOI] [PubMed] [Google Scholar]
  15. Iino T. Genetics of structure and function of bacterial flagella. Annu Rev Genet. 1977;11:161–182. doi: 10.1146/annurev.ge.11.120177.001113. [DOI] [PubMed] [Google Scholar]
  16. Ishihara A., Yamaguchi S., Hotani H. Passive rotation of flagella on paralyzed Salmonella typhimurium (mot) mutants by external rotatory driving force. J Bacteriol. 1981 Feb;145(2):1082–1084. doi: 10.1128/jb.145.2.1082-1084.1981. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Khan S., Berg H. C. Isotope and thermal effects in chemiosmotic coupling to the flagellar motor of Streptococcus. Cell. 1983 Mar;32(3):913–919. doi: 10.1016/0092-8674(83)90076-4. [DOI] [PubMed] [Google Scholar]
  18. Khan S., Macnab R. M. Proton chemical potential, proton electrical potential and bacterial motility. J Mol Biol. 1980 Apr 15;138(3):599–614. doi: 10.1016/s0022-2836(80)80019-2. [DOI] [PubMed] [Google Scholar]
  19. Khan S., Macnab R. M. The steady-state counterclockwise/clockwise ratio of bacterial flagellar motors is regulated by protonmotive force. J Mol Biol. 1980 Apr 15;138(3):563–597. doi: 10.1016/s0022-2836(80)80018-0. [DOI] [PubMed] [Google Scholar]
  20. Khan S., Meister M., Berg H. C. Constraints on flagellar rotation. J Mol Biol. 1985 Aug 20;184(4):645–656. doi: 10.1016/0022-2836(85)90310-9. [DOI] [PubMed] [Google Scholar]
  21. Krulwich T. A. Bioenergetics of alkalophilic bacteria. J Membr Biol. 1986;89(2):113–125. doi: 10.1007/BF01869707. [DOI] [PubMed] [Google Scholar]
  22. Läuger P. Current noise generated by electrogenic ion pumps. Eur Biophys J. 1984;11(2):117–128. doi: 10.1007/BF00276627. [DOI] [PubMed] [Google Scholar]
  23. Läuger P. Ion transport and rotation of bacterial flagella. Nature. 1977 Jul 28;268(5618):360–362. doi: 10.1038/268360a0. [DOI] [PubMed] [Google Scholar]
  24. Läuger P. Ion transport through pores: a rate-theory analysis. Biochim Biophys Acta. 1973 Jul 6;311(3):423–441. doi: 10.1016/0005-2736(73)90323-4. [DOI] [PubMed] [Google Scholar]
  25. Läuger P. Thermodynamic and kinetic properties of electrogenic ion pumps. Biochim Biophys Acta. 1984 Sep 3;779(3):307–341. doi: 10.1016/0304-4157(84)90015-7. [DOI] [PubMed] [Google Scholar]
  26. Macnab R. M., Aizawa S. Bacterial motility and the bacterial flagellar motor. Annu Rev Biophys Bioeng. 1984;13:51–83. doi: 10.1146/annurev.bb.13.060184.000411. [DOI] [PubMed] [Google Scholar]
  27. Macnab R. M. Bacterial motility and chemotaxis: the molecular biology of a behavioral system. CRC Crit Rev Biochem. 1978;5(4):291–341. doi: 10.3109/10409237809177145. [DOI] [PubMed] [Google Scholar]
  28. Manson M. D., Tedesco P. M., Berg H. C. Energetics of flagellar rotation in bacteria. J Mol Biol. 1980 Apr 15;138(3):541–561. doi: 10.1016/s0022-2836(80)80017-9. [DOI] [PubMed] [Google Scholar]
  29. Manson M. D., Tedesco P., Berg H. C., Harold F. M., Van der Drift C. A protonmotive force drives bacterial flagella. Proc Natl Acad Sci U S A. 1977 Jul;74(7):3060–3064. doi: 10.1073/pnas.74.7.3060. [DOI] [PMC free article] [PubMed] [Google Scholar]
  30. Matsura S., Shioi J., Imae Y. Motility in Bacillus subtilis driven by an artificial protonmotive force. FEBS Lett. 1977 Oct 15;82(2):187–190. doi: 10.1016/0014-5793(77)80581-4. [DOI] [PubMed] [Google Scholar]
  31. Meister M., Berg H. C. The stall torque of the bacterial flagellar motor. Biophys J. 1987 Sep;52(3):413–419. doi: 10.1016/S0006-3495(87)83230-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
  32. Oosawa F., Hayashi S. The loose coupling mechanism in molecular machines of living cells. Adv Biophys. 1986;22:151–183. doi: 10.1016/0065-227x(86)90005-5. [DOI] [PubMed] [Google Scholar]
  33. Ravid S., Eisenbach M. Direction of flagellar rotation in bacterial cell envelopes. J Bacteriol. 1984 Apr;158(1):222–230. doi: 10.1128/jb.158.1.222-230.1984. [DOI] [PMC free article] [PubMed] [Google Scholar]
  34. Ridgway H. G., Silverman M., Simon M. I. Localization of proteins controlling motility and chemotaxis in Escherichia coli. J Bacteriol. 1977 Nov;132(2):657–665. doi: 10.1128/jb.132.2.657-665.1977. [DOI] [PMC free article] [PubMed] [Google Scholar]
  35. Shimada K., Berg H. C. Response of the flagellar rotary motor to abrupt changes in extracellular pH. J Mol Biol. 1987 Feb 5;193(3):585–589. doi: 10.1016/0022-2836(87)90269-5. [DOI] [PubMed] [Google Scholar]
  36. Shioi J. I., Matsuura S., Imae Y. Quantitative measurements of proton motive force and motility in Bacillus subtilis. J Bacteriol. 1980 Dec;144(3):891–897. doi: 10.1128/jb.144.3.891-897.1980. [DOI] [PMC free article] [PubMed] [Google Scholar]
  37. Silverman M. Building bacterial flagella. Q Rev Biol. 1980 Dec;55(4):395–408. doi: 10.1086/411982. [DOI] [PubMed] [Google Scholar]
  38. Silverman M., Matsumura P., Simon M. The identification of the mot gene product with Escherichia coli-lambda hybrids. Proc Natl Acad Sci U S A. 1976 Sep;73(9):3126–3130. doi: 10.1073/pnas.73.9.3126. [DOI] [PMC free article] [PubMed] [Google Scholar]
  39. Silverman M., Simon M. I. Bacterial flagella. Annu Rev Microbiol. 1977;31:397–419. doi: 10.1146/annurev.mi.31.100177.002145. [DOI] [PubMed] [Google Scholar]
  40. Wagenknecht T. A plausible mechanism for flagellar rotation in bacteria. FEBS Lett. 1986 Feb 17;196(2):193–197. doi: 10.1016/0014-5793(86)80244-7. [DOI] [PubMed] [Google Scholar]

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