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Mathematical Biosciences and Engineering

2015, Volume 12, Issue 6: 1303-1320. doi: 10.3934/mbe.2015.12.1303
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The performance of discrete models of low reynolds number swimmers

  • 1.
    Department of Mathematics, University of California Irvine, Irvine, CA
  • 2.
    School of Mathematics, University of Minnesota, Minneapolis, MN 55445
  • Published: 01 August 2015

  • MSC : Primary: 92C45, 92C50; Secondary: 92B05.

  • Swimming by shape changes at low Reynolds number is widely used in biology andunderstanding how the performance of movement depends on the geometric pattern ofshape changes is important to understand swimming of microorganisms and in designing lowReynolds number swimming models. Thesimplest models of shape changes are those that comprise a series of linkedspheres that can change their separation and/or their size. Herein we comparethe performance of three models in which these modes are used in different ways.

    Citation: Qixuan Wang, Hans G. Othmer. The performance of discrete models of low reynolds number swimmers[J]. Mathematical Biosciences and Engineering, 2015, 12(6): 1303-1320. doi: 10.3934/mbe.2015.12.1303

    Related Papers:

  • Swimming by shape changes at low Reynolds number is widely used in biology andunderstanding how the performance of movement depends on the geometric pattern ofshape changes is important to understand swimming of microorganisms and in designing lowReynolds number swimming models. Thesimplest models of shape changes are those that comprise a series of linkedspheres that can change their separation and/or their size. Herein we comparethe performance of three models in which these modes are used in different ways.


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    [1] Journal of Physics: Condensed Matter, 21 (2009), 204108.
    [2] Journal of Nonlinear Science, 18 (2008), 277-302.
    [3] The European Physical Journal E: Soft Matter and Biological Physics, 28 (2009), 279-284.
    [4] Mathematical Models and Methods in Applied Sciences, 21 (2011), 361-387.
    [5] Phys. Rev. Lett, 93 (2004), 186001.
    [6] New Journal of Physics, 7 (2005), 234.
    [7] New Journal of Physics, 10 (2008), 063016.
    [8] Eur Biophys J, 35 (2006), 328-39.
    [9] PNAS, 107 (2010), 11376.
    [10] J. Fluid Mech., 74 (1976), 1-29.
    [11] Journal of Fluid Mechanics, 44 (1970), 419-440.
    [12] Journal of fluid mechanics, 490 (2003), 15-35.
    [13] Molecular BioSystems, 6 (2010), 648-661.
    [14] Am J Physiol Cell Physiol, 282 (2001), C595-C605.
    [15] Nat Rev Mol Cell Biol, 9 (2008), 730-736.
    [16] Journal of Fluid mechanics, 44 (1970), 791-810.
    [17] The Journal of Cell Biology, 181 (2008), 879-884.
    [18] arXiv:0711.3700.
    [19] Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 217 (1953), 96-121.
    [20] Journal of Fluid Mechanics, 99 (1980), 411-431.
    [21] Biophysical journal, 25 (1979), 113-127.
    [22] J. Fluid Mech, 75 (1976), 705-714.
    [23] Butterworth-Heinemann Boston, 1991.
    [24] Nature, 453 (2008), 51-55.
    [25] Repts. on Prog. in Phys., 72 (2009), 096601.
    [26] SIAM Review, 1975, 161-230.
    [27] Communications on Pure and Applied Mathematics, 5 (1952), 109-118.
    [28] Physics of Fluids (1994-present), 22 (2010), 111901.
    [29] arXiv:1007.2101v1.
    [30] Proceedings of the National Academy of Sciences, 108 (2011), 15727-15732.
    [31] Biophysical journal, 89 (2005), 724-733.
    [32] Cambridge Univ Pr, 1992.
    [33] Amer. J. Physics, 45 (1977), 3-11.
    [34] Am. J. Phys, 45 (1977), 3-11.
    [35] EMBO reports, 11 (2010), 744-750.
    [36] J. Fluid Mech., 198 (1989), 557-585.
    [37] Physical Review Letters, 98 (2007), 068105.
    [38] PloS one, 6 (2011), e27532.
    [39] PhD thesis, University of Minnesota, 2012.
    [40] Frontiers in Applications of Mathematics, Springer Verlag, New York, 2012.
    [41] J. Cell Sci., 119 (2006), 3833-3844.
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  • © 2015 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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