메뉴 건너뛰기




Volumn 88, Issue 1, 2014, Pages 1-28

Generalized squirming motion of a sphere

Author keywords

Low Reynolds number locomotion; Squirming motion; Stokes flows

Indexed keywords

BIOPHYSICS; FLOW FIELDS; KINEMATICS; REYNOLDS NUMBER;

EID: 84919877615     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-014-9690-9     Document Type: Article
Times cited : (169)

References (67)
  • 1
    • 0001425847 scopus 로고
    • Fluid mechanics of propulsion by cilia and flagella
    • Brennen C, Winet H (1977) Fluid mechanics of propulsion by cilia and flagella. Annu Rev Fluid Mech 9:339–398
    • (1977) Annu Rev Fluid Mech , vol.9 , pp. 339-398
    • Brennen, C.1    Winet, H.2
  • 3
    • 0004058896 scopus 로고    scopus 로고
    • Garland Publishing, New York:
    • Bray D (2000) Cell movements. Garland Publishing, New York
    • (2000) Cell movements
    • Bray, D.1
  • 4
    • 84919877208 scopus 로고    scopus 로고
    • Hydrodynamic phenomena in suspensions of swimming microorganisms
    • Guasto JS, Rusconi R, Stocker R (2012) Hydrodynamic phenomena in suspensions of swimming microorganisms. Annu Rev Fluid Mech 44:373–400
    • (2012) Annu Rev Fluid Mech , vol.44 , pp. 373-400
    • Guasto, J.S.1    Rusconi, R.2    Stocker, R.3
  • 5
    • 70350589080 scopus 로고    scopus 로고
    • The hydrodynamics of swimming microorganisms
    • Lauga E, Powers T (2009) The hydrodynamics of swimming microorganisms. Rep Prog Phys 72:096601
    • (2009) Rep Prog Phys , vol.72 , pp. 096601
    • Lauga, E.1    Powers, T.2
  • 6
    • 84890506631 scopus 로고
    • Life at low Reynolds number
    • Purcell EM (1977) Life at low Reynolds number. Am J Phys 45:3–11
    • (1977) Am J Phys , vol.45 , pp. 3-11
    • Purcell, E.M.1
  • 7
    • 84868231926 scopus 로고    scopus 로고
    • A coordinate-based proof of the scallop theorem
    • Ishimoto K, Yamada M (2012) A coordinate-based proof of the scallop theorem. SIAM J Appl Math 72(5):1686–1694
    • (2012) SIAM J Appl Math , vol.72 , Issue.5 , pp. 1686-1694
    • Ishimoto, K.1    Yamada, M.2
  • 8
    • 0015406038 scopus 로고
    • Ciliary motion in Paramecium: a scanning electron microscope study
    • Tamm SL (1972) Ciliary motion in Paramecium: a scanning electron microscope study. J Cell Biol 55:250–255
    • (1972) J Cell Biol , vol.55 , pp. 250-255
    • Tamm, S.L.1
  • 9
    • 31944439449 scopus 로고    scopus 로고
    • Multicellularity and the functional interdependence of motility and molecular transport
    • Solari CA, Ganguly S, Kessler JO, Michod RE, Goldstein RE (2006) Multicellularity and the functional interdependence of motility and molecular transport. Proc Natl Acad Sci USA 103(5):1353–1358
    • (2006) Proc Natl Acad Sci USA , vol.103 , Issue.5 , pp. 1353-1358
    • Solari, C.A.1    Ganguly, S.2    Kessler, J.O.3    Michod, R.E.4    Goldstein, R.E.5
  • 10
    • 32644453419 scopus 로고    scopus 로고
    • Biofluidmechanics of reproduction
    • Fauci LJ, Dillon R (2006) Biofluidmechanics of reproduction. Annu Rev Fluid Mech 38:371–394
    • (2006) Annu Rev Fluid Mech , vol.38 , pp. 371-394
    • Fauci, L.J.1    Dillon, R.2
  • 11
    • 36749028153 scopus 로고    scopus 로고
    • A wall of funnels concentrates swimming bacteria
    • Galajda P, Keymer J, Chaikin P, Austin R (2007) A wall of funnels concentrates swimming bacteria. J Bacteriol 189(23):8704–8707
    • (2007) J Bacteriol , vol.189 , Issue.23 , pp. 8704-8707
    • Galajda, P.1    Keymer, J.2    Chaikin, P.3    Austin, R.4
  • 13
    • 84861434417 scopus 로고    scopus 로고
    • Human spermatozoa migration in microchannels reveals boundary-following navigation
    • Denissenko P, Kantsler V, Smith DJ, Kirkman-Brown J (2012) Human spermatozoa migration in microchannels reveals boundary-following navigation. Proc Natl Acad Sci USA 109(21):8007–8010
    • (2012) Proc Natl Acad Sci USA , vol.109 , Issue.21 , pp. 8007-8010
    • Denissenko, P.1    Kantsler, V.2    Smith, D.J.3    Kirkman-Brown, J.4
  • 14
    • 35348818858 scopus 로고    scopus 로고
    • Propulsion in a viscoelastic fluid
    • Lauga E (2007) Propulsion in a viscoelastic fluid. Phys Fluids 19(8):083104
    • (2007) Phys Fluids , vol.19 , Issue.8 , pp. 083104
    • Lauga, E.1
  • 15
    • 37249054547 scopus 로고    scopus 로고
    • Theory of swimming filaments in viscoelastic media
    • Fu HC, Powers TR, Wolgemuth HC (2007) Theory of swimming filaments in viscoelastic media. Phys Rev Lett 99:258101
    • (2007) Phys Rev Lett , vol.99 , pp. 258101
    • Fu, H.C.1    Powers, T.R.2    Wolgemuth, H.C.3
  • 16
    • 79960627208 scopus 로고    scopus 로고
    • Undulatory swimming in viscoelastic fluids
    • 208101
    • Shen XN, Arratia PE (May 2011) Undulatory swimming in viscoelastic fluids. Phys Rev Lett 106:208101
    • Phys Rev Lett , vol.106
    • Shen, X.N.1    Arratia, P.E.2
  • 17
    • 83755183692 scopus 로고    scopus 로고
    • Force-free swimming of a model helical flagellum in viscoelastic fluids
    • Liu B, Powers TR, Breuer KS (2011) Force-free swimming of a model helical flagellum in viscoelastic fluids. Proc Natl Acad Sci USA 108(49):19516–19520
    • (2011) Proc Natl Acad Sci USA , vol.108 , Issue.49 , pp. 19516-19520
    • Liu, B.1    Powers, T.R.2    Breuer, K.S.3
  • 18
    • 0031754332 scopus 로고    scopus 로고
    • Genetic analysis of escherichia coli biofilm formation: roles of flagella, motility, chemotaxis and type I pili
    • Pratt LA, Kolter R (1998) Genetic analysis of escherichia coli biofilm formation: roles of flagella, motility, chemotaxis and type I pili. Mol Microbiol 2:285–293
    • (1998) Mol Microbiol , vol.2 , pp. 285-293
    • Pratt, L.A.1    Kolter, R.2
  • 19
    • 34250348370 scopus 로고    scopus 로고
    • Flagellar motility is critical for listeria monocytogenes biofilm formation
    • Lemon KP, Higgins DE, Kolter R (2007) Flagellar motility is critical for listeria monocytogenes biofilm formation. J Bacteriol 189(12):4418–4424
    • (2007) J Bacteriol , vol.189 , Issue.12 , pp. 4418-4424
    • Lemon, K.P.1    Higgins, D.E.2    Kolter, R.3
  • 20
    • 77950637747 scopus 로고    scopus 로고
    • Involvement of motility and flagella in bacillus cereus biofilm formation
    • Houry A, Briandet R, Aymerich S, Gohar M (2010) Involvement of motility and flagella in bacillus cereus biofilm formation. Microbiology 156(4):1009–1018
    • (2010) Microbiology , vol.156 , Issue.4 , pp. 1009-1018
    • Houry, A.1    Briandet, R.2    Aymerich, S.3    Gohar, M.4
  • 21
    • 47949118154 scopus 로고    scopus 로고
    • Hydrodynamic attraction of swimming microorganisms by surfaces
    • Berke AP, Turner L, Berg HC, Lauga E (2008) Hydrodynamic attraction of swimming microorganisms by surfaces. Phys Rev Lett 101:038102
    • (2008) Phys Rev Lett , vol.101 , pp. 038102
    • Berke, A.P.1    Turner, L.2    Berg, H.C.3    Lauga, E.4
  • 22
    • 79551568949 scopus 로고    scopus 로고
    • The mechanics and statistics of active matter
    • Ramaswamy S (2010) The mechanics and statistics of active matter. Annu Rev Condens Matter Phys 1:323–345
    • (2010) Annu Rev Condens Matter Phys , vol.1 , pp. 323-345
    • Ramaswamy, S.1
  • 23
    • 79551513795 scopus 로고    scopus 로고
    • Collective hydrodynamics of swimming microorganisms: living fluids
    • Koch DL, Subramanian G (2011) Collective hydrodynamics of swimming microorganisms: living fluids. Annu Rev Fluid Mech 43:637–659
    • (2011) Annu Rev Fluid Mech , vol.43 , pp. 637-659
    • Koch, D.L.1    Subramanian, G.2
  • 24
  • 27
    • 76449091427 scopus 로고    scopus 로고
    • In pursuit of propulsion at the nanoscale
    • Ebbens SJ, Howse JR (2010) In pursuit of propulsion at the nanoscale. Soft Matter 6:726–738
    • (2010) Soft Matter , vol.6 , pp. 726-738
    • Ebbens, S.J.1    Howse, J.R.2
  • 29
    • 0000862974 scopus 로고
    • Analysis of the swimming of microscopic organisms
    • Taylor GI (1951) Analysis of the swimming of microscopic organisms. Proc R Soc Lond A 209(1099):447–461
    • (1951) Proc R Soc Lond A , vol.209 , Issue.1099 , pp. 447-461
    • Taylor, G.I.1
  • 30
    • 0009859074 scopus 로고
    • The swimming of minute organisms
    • Reynolds AJ (1965) The swimming of minute organisms. J Fluid Mech 23:241–260
    • (1965) J Fluid Mech , vol.23 , pp. 241-260
    • Reynolds, A.J.1
  • 31
    • 0016383607 scopus 로고
    • On the propulsion of micro-organisms near solid boundaries
    • Katz DF (1974) On the propulsion of micro-organisms near solid boundaries. J Fluid Mech 64:33–49
    • (1974) J Fluid Mech , vol.64 , pp. 33-49
    • Katz, D.F.1
  • 32
    • 77955680479 scopus 로고    scopus 로고
    • Microelastohydrodynamics of swimming organisms near solid boundaries in complex fluids
    • Balmforth NJ, Coombs D, Pachmann S (2010) Microelastohydrodynamics of swimming organisms near solid boundaries in complex fluids. Q J Mech Appl Math 63(3):267–294
    • (2010) Q J Mech Appl Math , vol.63 , Issue.3 , pp. 267-294
    • Balmforth, N.J.1    Coombs, D.2    Pachmann, S.3
  • 33
    • 0000897009 scopus 로고
    • The propulsion of sea-urchin spermatozoa
    • Gray J, Hancock GJ (1955) The propulsion of sea-urchin spermatozoa. J Exp Biol 32(4):802–814
    • (1955) J Exp Biol , vol.32 , Issue.4 , pp. 802-814
    • Gray, J.1    Hancock, G.J.2
  • 34
    • 84958431482 scopus 로고
    • The motion of long slender bodies in a viscous fluids: I. general theory
    • Cox RG (1970) The motion of long slender bodies in a viscous fluids: I. general theory. J Fluid Mech 44:791–810
    • (1970) J Fluid Mech , vol.44 , pp. 791-810
    • Cox, R.G.1
  • 35
    • 84931886633 scopus 로고
    • Slender body theory for particles of arbitrary cross section in stokes flow
    • Batchelor GK (1970) Slender body theory for particles of arbitrary cross section in stokes flow. J Fluid Mech 44:419–440
    • (1970) J Fluid Mech , vol.44 , pp. 419-440
    • Batchelor, G.K.1
  • 36
    • 0015209382 scopus 로고
    • A note on the helical movement of micro-organisms
    • Chwang AT, Wu TY (1971) A note on the helical movement of micro-organisms. Proc R Soc Lond B 178:327–346
    • (1971) Proc R Soc Lond B , vol.178 , pp. 327-346
    • Chwang, A.T.1    Wu, T.Y.2
  • 37
    • 0016919425 scopus 로고
    • Swimming of flagellated microorganisms
    • Keller JB, Rubinow SI (1976) Swimming of flagellated microorganisms. Biophys J 16:151–170
    • (1976) Biophys J , vol.16 , pp. 151-170
    • Keller, J.B.1    Rubinow, S.I.2
  • 38
    • 0019035258 scopus 로고
    • An improved slender-body theory for stokes flow
    • Johnson RE (1980) An improved slender-body theory for stokes flow. J Fluid Mech 99:411–431
    • (1980) J Fluid Mech , vol.99 , pp. 411-431
    • Johnson, R.E.1
  • 39
    • 0000304274 scopus 로고
    • Hydrodynamic phenomena in suspensions of swimming microorganisms
    • Pedley TJ, Kessler JO (1992) Hydrodynamic phenomena in suspensions of swimming microorganisms. Annu Rev Fluid Mech 24:313–358
    • (1992) Annu Rev Fluid Mech , vol.24 , pp. 313-358
    • Pedley, T.J.1    Kessler, J.O.2
  • 40
    • 84980072341 scopus 로고
    • On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers
    • Lighthill MJ (1952) On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers. Commun Pure Appl Math 109:109–118
    • (1952) Commun Pure Appl Math , vol.109 , pp. 109-118
    • Lighthill, M.J.1
  • 41
    • 0000816864 scopus 로고
    • A spherical envelop approach to ciliary propulsion
    • Blake JR (1971) A spherical envelop approach to ciliary propulsion. J Fluid Mech 46:199–208
    • (1971) J Fluid Mech , vol.46 , pp. 199-208
    • Blake, J.R.1
  • 42
    • 33750994004 scopus 로고    scopus 로고
    • Hydrodynamic interaction of two swimming model micro-organisms
    • Ishikawa T, Simmonds MP, Pedley TJ (2006) Hydrodynamic interaction of two swimming model micro-organisms. J Fluid Mech 568:119–160
    • (2006) J Fluid Mech , vol.568 , pp. 119-160
    • Ishikawa, T.1    Simmonds, M.P.2    Pedley, T.J.3
  • 44
    • 34548737944 scopus 로고    scopus 로고
    • The rheology of a semi-dilute suspension of swimming model micro-organisms
    • Ishikawa T, Simmonds MP, Pedley TJ (2007) The rheology of a semi-dilute suspension of swimming model micro-organisms. J Fluid Mech 588:399–435
    • (2007) J Fluid Mech , vol.588 , pp. 399-435
    • Ishikawa, T.1    Simmonds, M.P.2    Pedley, T.J.3
  • 45
    • 34548730527 scopus 로고    scopus 로고
    • Diffusion of swimming model micro-organisms in a semi-dilute suspension
    • Ishikawa T, Pedley TJ (2007) Diffusion of swimming model micro-organisms in a semi-dilute suspension. J Fluid Mech 588:437–462
    • (2007) J Fluid Mech , vol.588 , pp. 437-462
    • Ishikawa, T.1    Pedley, T.J.2
  • 46
    • 0037294894 scopus 로고    scopus 로고
    • Nutrient uptake by a self-propelled steady squirmer
    • Magar V, Goto T, Pedley TJ (2003) Nutrient uptake by a self-propelled steady squirmer. Q J Mech. Appl Math 56:65–91
    • (2003) Q J Mech. Appl Math , vol.56 , pp. 65-91
    • Magar, V.1    Goto, T.2    Pedley, T.J.3
  • 47
    • 33644589199 scopus 로고    scopus 로고
    • Average nutrient uptake by a self-propelled unsteady squirmer
    • Magar V, Pedley TJ (2005) Average nutrient uptake by a self-propelled unsteady squirmer. J Fluid Mech 539:93–112
    • (2005) J Fluid Mech , vol.539 , pp. 93-112
    • Magar, V.1    Pedley, T.J.2
  • 48
    • 80155205785 scopus 로고    scopus 로고
    • Optimal feeding is optimal swimming for all Péclet numbers
    • 101901
    • Michelin S, Lauga E (2011) Optimal feeding is optimal swimming for all Péclet numbers. Phys Fluids 23(10):101901
    • (2011) Phys Fluids 23(10)
    • Michelin, S.1    Lauga, E.2
  • 49
    • 79251538386 scopus 로고    scopus 로고
    • Efficiency optimization and symmetry-breaking in a model of ciliary locomotion
    • Michelin S, Lauga E (2010) Efficiency optimization and symmetry-breaking in a model of ciliary locomotion. Phys Fluids 22(11):111901
    • (2010) Phys Fluids , vol.22 , Issue.11 , pp. 111901
    • Michelin, S.1    Lauga, E.2
  • 50
    • 78751500433 scopus 로고    scopus 로고
    • Locomotion by tangential deformation in a polymeric fluid
    • Zhu L, Do-Quang M, Lauga E, Brandt L (2011) Locomotion by tangential deformation in a polymeric fluid. Phys Rev E 83:011901
    • (2011) Phys Rev E , vol.83 , Issue.11901
    • Zhu, L.1    Do-Quang, M.2    Lauga, E.3    Brandt, L.4
  • 51
    • 84861980665 scopus 로고    scopus 로고
    • Self-propulsion in viscoelastic fluids: Pushers vs. pullers
    • Zhu L, Lauga E, Brandt L (2012) Self-propulsion in viscoelastic fluids: Pushers vs. pullers. Phys Fluids 24(5):051902
    • (2012) Phys Fluids , vol.24 , Issue.5 , pp. 051902
    • Zhu, L.1    Lauga, E.2    Brandt, L.3
  • 52
    • 84868622952 scopus 로고    scopus 로고
    • Inertial squirmer
    • Wang S, Ardekani A (2012) Inertial squirmer. Phys Fluids 24(10):101902
    • (2012) Phys Fluids , vol.24 , Issue.10 , pp. 101902
    • Wang, S.1    Ardekani, A.2
  • 53
    • 0000973878 scopus 로고    scopus 로고
    • Propulsion of microorganisms by surface distortions
    • Stone HA, Samuel ADT (1996) Propulsion of microorganisms by surface distortions. Phys Rev Lett 77:4102–4104
    • (1996) Phys Rev Lett , vol.77 , pp. 4102-4104
    • Stone, H.A.1    Samuel, A.D.T.2
  • 55
    • 0004168443 scopus 로고
    • Cambridge University Press, Cambridge:
    • Lamb H (1932) Hydrodynamics. Cambridge University Press, Cambridge
    • (1932) Hydrodynamics
    • Lamb, H.1
  • 56
    • 34047237311 scopus 로고
    • The Stokes resistance of a slightly deformed sphere
    • Brenner H (1964) The Stokes resistance of a slightly deformed sphere. Chem Eng Sci 19:519–539
    • (1964) Chem Eng Sci , vol.19 , pp. 519-539
    • Brenner, H.1
  • 62
    • 0014767108 scopus 로고
    • The stress system in a suspension of force-free particles
    • Batchelor GK (1970) The stress system in a suspension of force-free particles. J Fluid Mech 41:545–570
    • (1970) J Fluid Mech , vol.41 , pp. 545-570
    • Batchelor, G.K.1
  • 65
    • 4544257929 scopus 로고    scopus 로고
    • Enhanced diffusion due to motile bacteria
    • Kim MJ, Breuer KS (2004) Enhanced diffusion due to motile bacteria. Phys Fluids 16(9):L78–L81
    • (2004) Phys Fluids , vol.16 , Issue.9 , pp. L78-L81
    • Kim, M.J.1    Breuer, K.S.2
  • 66
    • 0034015656 scopus 로고    scopus 로고
    • Real-time imaging of fluorescent flagellar filaments
    • Turner L, Ryu WS, Berg HC (2000) Real-time imaging of fluorescent flagellar filaments. J Bacteriol 182:2793–2801
    • (2000) J Bacteriol , vol.182 , pp. 2793-2801
    • Turner, L.1    Ryu, W.S.2    Berg, H.C.3
  • 67
    • 84864123640 scopus 로고    scopus 로고
    • Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations
    • Spagnolie SE, Lauga E (2012) Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations. J Fluid Mech 700:105–147
    • (2012) J Fluid Mech , vol.700 , pp. 105-147
    • Spagnolie, S.E.1    Lauga, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.