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On the motion of magnetotactic bacteria: theoretical predictions and experimental observations

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Abstract

The movement of magnetotactic bacteria is done in a viscous media in the low Reynolds number regime. In the present research, the simple model for magnetotactic bacteria motion, proposed by Nogueira and Lins de Barros (Eur Biophys J 24:13–21, 1995), was used to numerically simulate their trajectory. The model was done considering a spherical bacterium with a single flagellum and a magnetic moment positioned in the sphere center and parallel to the flagella. The numerical solution shows that the trajectory is a cylindrical helix and that the body Euler angles have linear dependencies on time. Using that information, analytical expressions were obtained for the first time for the center-of-mass coordinates, showing that the trajectories are helixes oriented to the magnetic field direction. They also show that the magnetic moment does not align to the magnetic field, but it precesses around it, being fully oriented only for very high magnetic fields. The analytical solution obtained permits to relate for the first time the flagellar force to the axial velocity and helical radius. Trajectories of uncultivated magnetotactic bacteria were registered in video and the coordinates were obtained for several bacteria in different magnetic fields. The trajectories showed to be a complex mixture of two oscillating functions: one with frequency lower than 5 Hz and the other one with frequency higher than 10 Hz. The simple model of Nogueira and Lins de Barros shows to be incomplete, because is unable to explain the trajectories composed of two oscillating functions observed in uncultivated magnetotactic bacteria.

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References

  • Almeida FP, Viana NB, Lins U, Farina M, Keim CN (2013) Swimming behaviour of the multicellular magnetotactic prokaryote ‘Candidatus Magnetoglobus multicellularis’ under applied magnetic fields and ultraviolet light. Antonie Van Leeuwenhoek 103:845–857

    Article  Google Scholar 

  • Chen YR, Zhang R, Du HJ, Pan HM, Zhang WY, Zhou K, Li JH, Xiao T, Wu LF (2015) A novel species of ellipsoidal multicellular magnetotactic prokaryotes from Lake Yuehu in China. Environ Microbiol 17:637–647

    Article  CAS  Google Scholar 

  • Cui Z, Kong D, Pan Y, Zhang K (2012) On the swimming motion of spheroidal magnetotactic bacteria. Fluid Dyn Res 44:055508

    Article  Google Scholar 

  • Edwards MR, Carlsen RW, Sitti M (2013) Near and far-wall effects on the three-dimensional motion of bacteria-driven microbeads. Appl Phys Lett 102:143701

    Article  Google Scholar 

  • Fenchel T (2001) How dinoflagellates swim. Protist 152:329–338

    Article  CAS  Google Scholar 

  • Hindmarsh AC (1983) A systematized collection of ODE solvers. In: Stepleman RS et al (eds) Scientific computing. Noth-Holland, Amsterdam, pp 55–64

    Google Scholar 

  • Kalmijn AJ (1981) Biophysics of geomagnetic field detection. IEEE Trans Magn MAG 17:1113–1124

    Article  Google Scholar 

  • Keim CN, De Melo RD, Almeida FP, Lins de Barros HGP, Farina M, Acosta-Avalos D (2018) Effect of applied magnetic fields on motility and magnetotaxis in the uncultured magnetotactic multicellular prokaryote ‘Candidatus Magnetoglobus multicellularis’. Environ Microbiol Rep 10:465–474

    Article  CAS  Google Scholar 

  • Khalil ISM, Tabak AF, Hageman T, Ewis M, Pichel M, Mitwally ME, El-Din NS, Abelmann L, Sitti M (2017) Near-surface effects on the controlled motion of magnetotactic bacteria. IEEE Int Conf Robot Autom (ICRA) 2017:5976–5982

    Google Scholar 

  • Klumpp S, Lefevre CT, Bennet M, Faivre D (2019) Swimming with magnets: from biological organisms to synthetic devices. Phys Rep 789:1–54

    Article  Google Scholar 

  • Kong D, Lin W, Pan Y, Zhang K (2014) Swimming motion of rod-shaped magnetotactic bacteria: the effects of shape and growing magnetic moment. Front Microbiol 5:8

    Article  Google Scholar 

  • Lefevre CT, Bernadac A, Yu-Zhang K, Pradel N, Wu LF (2009) Isolation and characterization of a magnetotactic bacterial culture from the Mediterranean Sea. Environ Microbiol 11:1646–1657

    Article  CAS  Google Scholar 

  • Lins U, Freitas F, Keim CN, Lins de Barros H, Esquivel DMS, Farina M (2003) Simple homemade apparatus for harvesting uncultured magnetotactic microorganisms. Br J Microbiol 34:111–116

    Article  Google Scholar 

  • Nogueira FS, Lins de Barros HGP (1995) Study of the motion of magnetotactic bacteria. Eur Biophys J 24:13–21

    Article  Google Scholar 

  • Pan Y, Lin W, Li J, Wu W, Tian L, Deng C, Liu Q, Zhu R, Winklhofer M, Petersen N (2009) Reduced efficiency of magnetotaxis in magnetotactic coccoid bacteria in higher than geomagnetic fields. Biophys J 97:986–991

    Article  CAS  Google Scholar 

  • Su TW, Xue L, Ozcan A (2012) High-throughput lensfree 3D tracking of human sperms reveals rare statistics of helical trajectories. Proc Natl Acad Sci 109:16018–16022

    Article  CAS  Google Scholar 

  • Su TW, Choi I, Feng J, Huang K, McLeod E, Ozcan A (2013) Sperm trajectories form chiral ribbons. Sci Rep 3:1664

    Article  CAS  Google Scholar 

  • Yan L, Zhang S, Chen P, Liu H, Yin H, Li H (2012) Magnetotactic bacteria, magnetosomes and their application. Microbiol Res 167:507–519

    Article  CAS  Google Scholar 

  • Yang C, Chen C, Ma Q, Wu L, Song T (2012) Dynamic model and motion mechanism of magnetotactic bacteria with two lateral flagellar bundles. J Bionic Eng 9:200–210

    Article  Google Scholar 

  • Zhang WY, Zhou K, Pan HM, Yue HD, Jiang M, Xiao T, Wu LF (2012) Two genera of magnetococci with bean-like morphology from intertidal sediments of the Yellow Sea, China. Appl Environ Microbiol 78:5606–5611

    Article  CAS  Google Scholar 

Download references

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Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, CBPF, Rua Xavier Sigaud 150, Urca, Rio de Janeiro, RJ, CEP 22290-180, Brazil

    Daniel Acosta-Avalos & Elton Rodrigues

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  1. Daniel Acosta-Avalos
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  2. Elton Rodrigues
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Correspondence to Daniel Acosta-Avalos.

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Acosta-Avalos, D., Rodrigues, E. On the motion of magnetotactic bacteria: theoretical predictions and experimental observations. Eur Biophys J 48, 691–700 (2019). https://doi.org/10.1007/s00249-019-01394-z

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  • DOI: https://doi.org/10.1007/s00249-019-01394-z

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