title: Synchronization, slippage, and unbundling of driven helical flagella.
abstract: Peritrichous bacteria exploit bundles of helical flagella for propulsion and chemotaxis. Here, changes in the swimming direction (tumbling) are induced by a change of the rotational frequency of some flagella. Employing coarse-grained modeling and simulations, we investigate the dynamical properties of helical flagella bundles driven by mismatched motor torques. Over a broad range of distances between the flagella anchors and applied torque differences, we find a stable bundled state, which is important for a robust directional motion of a bacterium. With increasing torque difference, a phase lag in the flagellar rotations develops, followed by slippage and ultimately unbundling, which sensitively depends on the anchoring distance of neighboring flagella. In the slippage and drift states, the different rotation frequencies of the flagella generate a tilting torque on the bacterial body, which implies a change of the swimming direction as observed experimentally.
authors: Theoretical Soft Matter and Biophysics, Institute of Complex Systems and Institute for Advanced Simulation, Forschungszentrum Jülich, Jülich, Germany.
authors: Shang Yik
authors: SY
authors: Reigh
authors: Roland G
authors: RG
authors: Winkler
authors: Gerhard
authors: G
authors: Gompper
mesh_terms: D002633:Chemotaxis / Q000502:physiology; D003198:Computer Simulation; D004926:Escherichia coli / Q000502:physiology*; D005407:Flagella / Q000502:physiology* / Q000648:ultrastructure; D008954:Models, Biological; D009068:Movement; D012231:Rhizobium / Q000502:physiology*; D012399:Rotation; D016962:Sinorhizobium meliloti / Q000502:physiology*; D019415:Torque
references: Phys Rev Lett. 2012 Sep 28;109(13):138102
references: 23030122
references: J Bacteriol. 1997 Oct;179(20):6391-9
references: 9335288
references: J Chem Phys. 2011 Feb 14;134(6):065107
references: 21322740
references: Proc Natl Acad Sci U S A. 2003 Dec 23;100(26):15481-5
references: 14671319
references: Nature. 1972 Oct 27;239(5374):500-4
references: 4563019
references: Eur Phys J E Soft Matter. 2005 Aug;17(4):493-500
references: 16096696
references: Phys Rev Lett. 2010 Apr 30;104(17):178103
references: 20482146
references: Cell. 2006 May 5;125(3):549-62
references: 16678098
references: Phys Rev Lett. 2009 Oct 16;103(16):168103
references: 19905728
references: Proc Natl Acad Sci U S A. 2004 May 11;101(19):7234-9
references: 15118088
references: Proc Natl Acad Sci U S A. 1997 Dec 23;94(26):14433-7
references: 9405630
references: Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 1):011910
references: 21867216
references: Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Dec;78(6 Pt 1):061903
references: 19256864
references: J Bacteriol. 2007 Mar;189(5):1756-64
references: 17189361
references: J Bacteriol. 1987 Jul;169(7):3146-50
references: 3597320
references: J Bacteriol. 2002 Nov;184(21):5979-86
references: 12374832
references: Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jun;69(6 Pt 1):061910
references: 15244620
references: Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):016701
references: 16090128
references: Nature. 1973 Oct 19;245(5425):380-2
references: 4593496
references: Proc Natl Acad Sci U S A. 2006 May 23;103(21):8066-71
references: 16698936
references: Bull Math Biol. 2005 Jan;67(1):137-68
references: 15691543
references: Proc Natl Acad Sci U S A. 1977 Jan;74(1):221-5
references: 264676
references: Phys Rev Lett. 2011 Feb 4;106(5):058104
references: 21405441
references: Microbiology (Reading). 2002 Mar;148(Pt 3):627-631
references: 11882696
references: J Mol Biol. 1977 May 5;112(1):1-30
references: 328893
references: J Bacteriol. 2000 May;182(10):2793-801
references: 10781548
references: Biophys J. 2010 Jan 6;98(1):12-7
references: 20074512
references: Proc Natl Acad Sci U S A. 2010 Apr 27;107(17):7669-73
references: 20385848
references: Nature. 1975 May 8;255(5504):121-4
references: 1128677
references: Biophys J. 2007 Mar 15;92(6):2230-6
references: 17172309
references: Annu Rev Biochem. 2003;72:19-54
references: 12500982
references: Science. 1976 Jul 23;193(4250):317-9
references: 1084576
references: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Dec;80(6 Pt 1):061919
references: 20365202
references: Proc Natl Acad Sci U S A. 2011 Feb 8;108(6):2246-51
references: 21205908
references: Phys Rev Lett. 2006 Apr 21;96(15):158101
references: 16712201
references: Phys Rev Lett. 2009 Aug 21;103(8):088101
references: 19792766
references: Phys Rev Lett. 2012 Jul 20;109(3):034104
references: 22861857
references: Science. 2009 Jul 24;325(5939):487-90
references: 19628868
references: Science. 2009 Jul 24;325(5939):400-2
references: 19628846
references: J Chem Phys. 2005 Oct 8;123(14):144905
references: 16238422
references: Proc Natl Acad Sci U S A. 2013 Mar 19;110(12):4470-5
references: 23487771