Cilia Induced Bending of Paramecium in Microchannels

  • Saikat Jana
  • Junil Kim
  • Sung Yang
  • Sunghwan JungEmail author
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 155)


Most living organisms in nature have a preferential gait and direction along which they locomote, presumably derived from the evolutionary/mechanical advantage provided by the gaits. However under the influence of constrained geometries, organisms often exhibit peculiar locomotory characteristics. A Paramecium in its natural state preferentially swims in a helical path in the anterior direction. When introduced into channels with dimensions smaller than its length, a posterior swimming Paramecium bends its flexible body, executes a flip, and swims in the anterior direction again. We study the deformation of the body shape caused by forces generated by beating cilia, which are assumed to be acting at the tip of the organism. This method may lead to a non-invasive method of measuring the forces exerted during bending by self propelling organisms having high aspect ratio.

Primary 1234, 5678, 9101112

Key words

Low Reynolds numbers swimming cell bending 


  1. [1]
    Abkarian M and Viallat A (2008) Vesicles and red blood cells in shear flow. Soft Matter 4(4):653–657CrossRefGoogle Scholar
  2. [2]
    DiLuzio WR et al (2005) Escherichia coli swim on the right-hand side. Nature 435(7046):1271–1274CrossRefGoogle Scholar
  3. [3]
    Dryl S, Grebecki A (1966) Progress in the study of excitation and response in ciliates. Protoplasma 62(2):255–284CrossRefGoogle Scholar
  4. [4]
    Duffy D et al (1998) Rapid prototyping of microfluidic systems in poly (dimethylsiloxane). Anal Chem 70(23): 4974–4984CrossRefGoogle Scholar
  5. [5]
    Dyer J et al (2008) Consensus decision making in human crowds. Anim Behav 75(2):461–470MathSciNetCrossRefGoogle Scholar
  6. [6]
    Gheber L, Korngreen A, Priel Z (1998) Effect of viscosity on metachrony in mucus propelling cilia. Cell Motil Cytoskeleton 39(1):9–20CrossRefGoogle Scholar
  7. [7]
    Guck J et al (2000) Optical deformability of soft biological dielectrics. Phys Rev Lett 84(23):5451CrossRefGoogle Scholar
  8. [8]
    Hill DB et al (2010) Force generation and dynamics of individual cilia under external loading. Biophys J 98(1):57–66CrossRefGoogle Scholar
  9. [9]
    Janmey P, McCulloch C (2007) Cell mechanics: integrating cell responses to mechanical stimuli. Annu Rev Biomed Eng 9:1–34CrossRefGoogle Scholar
  10. [10]
    Kuznetsova TG et al (2007) Atomic force microscopy probing of cell elasticity. Micron 38(8):824–833CrossRefGoogle Scholar
  11. [11]
    Lauga E, Powers TR (2009) The hydrodynamics of swimming microorganisms. Rep Prog Phys 72(9):096601MathSciNetCrossRefGoogle Scholar
  12. [12]
    Lauga E et al (2006) Swimming in circles: motion of Bacteria near solid boundaries. Biophys J 90(2):400–412CrossRefGoogle Scholar
  13. [13]
    Mannik J et al (2009) Bacterial growth and motility in sub-micron constrictions. Proc Natl Acad Sci 106(35):14861–14866CrossRefGoogle Scholar
  14. [14]
    Riedel I, Kruse K, Howard J (2005) A self-organized vortex array of hydrodynamically entrained sperm cells. Science 309:300CrossRefGoogle Scholar
  15. [15]
    Sleep J et al (1999) Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study. Biophys J 77(6):3085–3095CrossRefGoogle Scholar
  16. [16]
    Stamenovic D (2006) Two regimes, maybe three. Nat Mater 5:5978CrossRefGoogle Scholar
  17. [17]
    Teff Z, Priel Z, Gheber LA (2007) Forces applied by cilia measured on explants from mucociliary tissue. Biophys J 92(5):1813–1823CrossRefGoogle Scholar
  18. [18]
    Taylor G, Nudds R, Thomas A (2003) Flying and swimming animals cruise at a strouhal number tuned for high power efficiency. Nature 425:707–11CrossRefGoogle Scholar
  19. [19]
    Sheng J et al (2007) Digital holographic microscopy reveals prey-induced changes in swimming behavior of predatory dinoflagellates. Proc Natl Acad Sci 104(44):17512CrossRefGoogle Scholar
  20. [20]
    Spear L, Ainley D (1997) Flight behaviour of seabirds in relation to wind direction and wing morphology. Ibis 139(2):221–233CrossRefGoogle Scholar
  21. [21]
    Zhang H and Liu K (2008) Optical tweezers for single cells. J R Soc Interface 5(24):671CrossRefGoogle Scholar
  22. [22]
    Zhao X, Xia Y, Whitesides G (1997) Soft lithographic methods for nano-fabrication. J Mater Chem 7(7):1069–1074CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Saikat Jana
    • 1
  • Junil Kim
    • 2
  • Sung Yang
    • 3
  • Sunghwan Jung
    • 1
    Email author
  1. 1.Department of Engineering Science and MechanicsVirginia TechBlacksburgUSA
  2. 2.Department of Medical System EngineeringGwangju Institute of Science and TechnologyBuk-gu, GwangjuRepublic of Korea
  3. 3.School of Mechatronics, Department of Medical System Engineering, Department of Nanobio Materials and ElectronicsGwangju Institute of Science and TechnologyBuk-gu, GwangjuRepublic of Korea

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