Hydrodynamic phenomena in suspensions of swimming microorganisms

Annual Review of Fluid Mechanics

Volumn 24, Issue 1, 1992, Pages 313-358

  Pedley, T J ^a   Kessler, J O ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

Algae; Bacteria; Bioconvection; Gyrotaxis; Pattern formation

Indexed keywords

EID: 0000304274     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fl.24.010192.001525     Document Type: Article

References (101)

1. Armitage, J. P., Macnab, R. M. 1987. Unidirectional intermittent rotation of the flagellum of Rhodobacter Sphaeroides. J. Bacteriol. 169: 517-18
2. Batchelor, G. K. 1970. The stress system in a suspension of force-free particles. J. Fluid Mech. 41: 545-70
3. Berg, H. C. 1983. Random Walks in Biology. Princeton: Princeton Univ. Press
4. Berg, H. C., Brown, D. A. 1972. Chemotaxis in Escherichia coli analysed by three-dimensional tracking. Nature 239: 500-4
5. Bishop, D. W. 1962. Sperm motility. Physiol. Rev. 42: 1-59
6. Bold, H. C., Wynne, M. J. 1978. Introduction to the Algae: Structure and Reproduction. Englewood Cliffs: Prentice-Hall
7. Boubnov, B. M., Golitsyn, G. S. 1986. Experimental study of convective structures in rotating fluids. J. Fluid Mech. 167: 503-31
8. Brennen, C., Winet, H. 1977. Fluid mechanics of propulsion by cilia and flagella. Annu. Rev. Fluid Mech. 9: 339-98
9. Brenner, H. 1974. Rheology of a dilute suspension of axisymmetric Brownian particles. Int. J. Multiphase Flow 1: 195-341
10. Brenner, H., Weissman, M. H. 1972. Rheology of a dilute suspension of dipolar spherical particles in an external field. II. Effect of rotary Brownian motion. J. Colloid Interface Sci. 41: 499-531
11. Bretherton, F. P., Rothschild, Lord 1961. Rheotaxis of spermatozoa. Proc. R. Soc. London Ser. B 153: 490-502
12. Brinkmann, K. 1968. An Phasengrenzen induzierte ein und zweidimensionale Kristallmuster in Kulturen von Eualena gracilis. Z. Pflanzen Physiol. 59: 364-76
13. Chapman, C. J., Proctor, M. R. E. 1980. Nonlinear Rayleigh Bénard convection between poorly conducting boundaries. J. Fluid Mech. 101: 759-82
14. Charlson, R. J., Lovelock, J. E., Andreae, M. O., Warren, S. G. 1987. Oceanic phytoplankton, atmospheric sulphur, cloud albedo and climate. Nature 326: 655-61
15. Childress, S. 1981. Mechanics of Swimming and Flying. Cambridge: Cambridge Univ. Press
16. Childress, S., Levandowsky, M., Spiegel, E. A. 1975. Pattern formation in a suspension of swimming micro-oreanisms. J. Fluid Mech. 69: 595-613
17. Childress, S., Percus, J. K. 1981. Nonlinear aspects of chemotaxis. Math. Biosciences 56: 217-37
18. Childress, S., Peyret, R. 1976. A numerical study of two-dimensional convection by motile particles. J. Mécanique 15: 753-79
19. Colombetti, G., Lenci, F. 1983. Photoreception and photomovement in microorganisms. In The Biology of Photoreception, ed. D. J. Cosens, D. Vince-Prue, pp. 399-422. Cambridge: Cambridge Univ. Press
20. Ettl, H. 1976. Die Gattung Chlamydomonas Ehrenberg. Beih. Nova Hedwigia 49: 1-1122
21. Everson, I. 1987. Life in a cold environment. In Antarctic Science, ed. D. W. H. Walton, pp. 71-125. Cambridge: Cambridge Univ. Press
22. Fenchel, T., Finlay, B. J. 1984. Geotaxis in the ciliated protozoon Loxodex. J. Exp. Biol. 110: 17-33
23. Fenchel, T., Finlay, B. J. 1986. Photobehaviour of the ciliated protozoon Loxodes: taxic, transient, and kinetic responses in the presence and absence of oxygen. J. Protozool. 33: 139-45
24. Finlay, B. J., Berninger, U.-G., Stewart, L. J., Hindle, R. M., Davison, W. 1987. Some factors controlling the distribution of two pond-dwelling ciliates with algal symbionts (Frontonia vernalis and Euplotes daidaleos). J. Protozool. 34: 349-56
25. Floyd, G. L., O'Kelley, C. J. 1989. Phylum Chlorophyta Class Ulvophyceae. In Handbook of Protoctista, ed. L. Margulis, J. O. Corliss, M. Melkonian, D. J. Chapman, pp. 617-35. Boston: Jones and Bartlett
26. Foster, K. W., Smyth, R. D. 1980. Light antennas in phototactic algae. Microbiol. Rev. 44: 572-630
27. Fraenkel, G. S., Gunn, D. L. 1940. The Orientation of Animals. Oxford: Clarendon
28. Guell, D. C., Brenner, H., Frankel, R. B., Hartman, H. 1988. Hydrodynamic forces and band formation in swimming magnetotactic bacteria. J. Theor. Biol. 135: 525-42
29. Häder, D.-P. 1987. Polarotaxis, gravitaxis and vertical phototaxis in the green flagellate Euglena gracilis. Arch. Microbiol. 147: 179-83
30. Häder, D.-P., Hill, N. A. 1991. Tracking and averaging the swimming trajectories of Chlamydomonas nivalis. In preparation.
31. Häder, D.-P., Tevini, M. 1987. General Photobiology, Chapter 12. Oxford: Pergamon
32. Hall, W. F., Buesenberg, S. N. 1969. Viscosity of magnetic suspensions. J. Chem. Phys. 51: 137-45
33. Harashima, A., Watanabe, M., Fujishiro, I. 1988. Evolution of bioconvection patterns in a culture of motile flagellates. Phys. Fluids 31: 764-75
34. Hart, A., Edwards, C. 1987. Buoyant density fluctuations during the cell cycle of Bacillus subtilis. Arch. Microbiol. 147: 68-72
35. Haupt, W., Feinleib, M. E. 1979. Physiology of Movements. Berlin: Springer
36. Hemmersbach-Krause, R., Häder, D.-P. 1990. Negative gravitaxis (Geotaxis) of paramecium - demonstrated by image analysis. Appl. Micrograv. Technol. 2: 221-23
37. Hill, N. A., Pedley, T. J., Kessler, J. O. 1989. The growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth. J. Fluid Mech. 208: 509-43
38. Hinch, E. J., Leal, L. G. 1972a. The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles. J. Fluid Mech. 52: 683-712
39. Hinch, E. J., Leal, L. G. 1972b. Note on the rheology of a dilute suspension of dipolar spheres with weak Brownian couples. J. Fluid Mech. 56: 803-13
40. Hoham, R. W. 1980. Unicellular chlorophytes-snowalgae. In Phytoflagellates, ed. E. R. Cox, pp. 61-84. N.Y. & Amsterdam: Elsevier
41. Jeffery, G. B. 1922. The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. London Ser. A 102: 161-79
42. Joseph, D. D., Lundgren, T. S. 1973. Quasilinear Dirichlct problems driven by positive sources. Arch. Rational Mech. Anal. 49: 241
43. Katz, D. F., Pedrotti, L. 1977. Geotaxis by motile spermatozoa: hydrodynamic reorientation. J. Theor. Biol. 67: 723-32
44. Kawakubo, T., Tsuchiya, Y. 1981. Diffusion coefficient of Paramecium as a function of temperature. J. Protozool. 28: 342-44
45. Kessler, J. O. 1982. Algal cell harvesting. U.S. Patent No. 4,324,067
46. Kessler, J. O. 1984a. Algal cell growth, modification and harvesting. U.S. Patent No. 4,438,591
47. Kessler, J. O. 1984b. Gyrotactic buoyant convection and spontaneous pattern formation in algal cell cultures. In Nonequilibrium Cooperative Phenomena in Physics and Related Fields, ed. M. G. Velarde, pp. 241-48. New York: Plenum
48. Kessler, J. O. 1985a. Hydrodynamic focusing of motile algal cells. Nature 313: 218-20
49. Kessler, J. O. 1985b. Co-operative and concentrative phenomena of swimming microorganisms. Contemp. Phys. 26: 147-66
50. Kessler, J. O. 1986a. The external dynamics of swimming micro-organisms. In Progress in Phycological Research, ed. F. E. Round, D. J. Chapman, Vol. 4, pp. 257-307. Bristol: Biopress
51. Kessler, J. O. 1986b. Individual and collective dynamics of swimming cells. J. Fluid Mech. 173: 191-205
52. Kessler, J. O. 1989. Path and pattern - the mutual dynamics of swimming cells and their environment. Comments Theor. Biol. 1: 85-108
53. Kessler, J. O. 1990. Theory and experimental results on gravitational effects on monocellular algae. Adv. Space Res., Proc. 28th meeting of COSPAR. Oxford: Pergamon
54. Kessler, J. O., Hill, N. A., Häder, D.-P. 1991. Orientation of swimming flagellates by simultaneously acting external factors. Submitted to J. Phycol.
55. Lapidus, I. R., Welch, M., Eisenbach, M. 1988. Pausing of flagellar rotation is a component of bacterial motility and chemotaxis. J. Bacteriol. 170: 3627-32
56. Leal, L. G., Hinch, E. J. 1971. The effect of weak Brownian rotations on particles in shear flow. J. Fluid Mech. 46: 685-703
57. Leal, L. G., Hinch, E. J. 1972. The rheology of a suspension of nearly spherical particles subject to Brownian rotations. J. Fluid Mech. 55: 745-65
58. Leedale, G. F. 1967. Euglenoid Flagellates. Englewood Cliffs: Prentice-Hall
59. Leibovich, S. 1983. The form and dynamics of Langmuir circulations. Annu. Rev. Fluid Mech. 15: 391-427
60. Levandowsky, M., Childress, W. S., Spiegel, E. A., Hutner, S. H. 1975. A mathematical model of pattern formation by swimming micro-organisms. J. Protozool. 22: 296-306
61. Levandowsky, M., Kaneta, P. J. 1987. Behaviour in Dinoflagellates. In The Biology of the Dinoflaqellates, ed. F. J. R. Taylor, pp. 360-97. Oxford: Blackwell
62. Lighthill, J. 1975. Mathematical Biofluid-dynamics. Philadelphia: SIAM
63. Lighthill, J. 1976. Flagellar hydrodynamics. SIAM Rev. 18: 161-230
64. Loeffer, J. B., Mefferd, R. B. 1952. Concerning pattern formation by free-swimming micro-organisms. Am. Nat. 86: 325-29
65. Melkonian, M. 1989. Phylum Chlorophyta Class Chlorophyceae. In Handbook of Protoctista, ed. L. Margulis, J. O. Corliss, M. Melkonian, D. J. Chapman, pp. 608-18. Boston: Jones and Bartlett
66. Neidhardt, F. C., Ingraham, J. L., Schaechter, M. 1990. Physiology of the Bacterial Cell. Sunderland, MA: Sinauer
67. Nelson, D. C., Jørgensen, B. B., Revsbech, N. P. 1986. Growth pattern and yield of a chemoautotropic Beggiatoa sp. in oxygen-sulfide micro-gradients. Appl. and Environ. Microbiol. 52: 225-33
68. Nettleton, R. M., Mefferd, R. B., Loeffer, J. B. 1953.. Pattern formation in concentrated particulate suspensions. Am. Nat. 87: 117-18
69. Newell, A. C., Whitehead, J. A. 1969. Finite bandwidth, finite amplitude convection. J. Fluid Mech. 38: 279-303
70. Noever, D. A. 1990a. Fractal dimension of bioconvection patterns. J. Phys. Soc. Jpn. 59: 3419-22
71. Noever, D. A. 1990b. Bioconvective patterns, synchrony and survival. Phys. Rev. Lett. 65: 1953-56
72. Nultsch, W., Häder, D.-P. 1988. Photomovement in motile microorganisms. Photochem. Photobiol. 47: 837-69
73. Nultsch, W., Hoff, E. 1973. Investigations on pattern formation in Euglenae. Arch. Protistenk. 115: 336-52
74. Pedley, T. J. 1988. Bottom-standing plumes in gyrotactic bioconvection. Bull. Am. Phys. Soc. 33: 2282 (Abstr.)
75. Pedley, T. J., Hill, N. A., Kessler, J. O. 1988. The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms. J. Fluid Mech. 195: 223-37
76. Pedley, T. J., Kessler, J. O. 1987. The orientation of spheroidal micro-organisms swimming in a flow field. Proc. R. Soc. London Ser. B 231: 47-70
77. Pedley, T. J., Kessler, J. O. 1990. A new continuum model for suspensions of gyrotactic micro-organisms. J. Fluid Mech. 212: 155-82
78. Pelczar, M. J., Chan, E. C. S., Krieg, N. R. 1986. Microbiology. New York: McGrawHill
79. Pfennig, N. 1962. Beobachtungen über das Schwärmen von Chromatium okenii. Arch. Mikrobiol. 42: 90-95
80. Platt, J. R. 1961. "Bioconvection patterns" cultures of free-swimming organisms. Science 133: 1766-67
81. Plesset, M. S., Whipple, C. G. 1974. Viscous effects in Rayleigh-Taylor instability. Phys. Fluids 17: 1-7
82. Plesset, M. S., Winet, H. 1974. Bioconvection patterns in swimming microorganism cultures as an example of Rayleigh-Taylor instability. Nature 248: 441-43
83. Prescott, L. M., Hurley, J. P., Klein, D. A. 1990. Microbiology. Dubuque: W. C. Brown
84. Roberts, A. M. 1970. Motion of spermatozoa in fluid streams. Nature 228: 375-76
85. Roberts, A. M. 1972. Gravitational separation of X and Y spermatozoa. Nature 238: 223-25
86. Roberts, A. M. 1975. The biassed random walk and the analysis of micro-organism movement. In Swimming and Flying in Nature, ed. T. Y.-T. Wu, C. J. Brokaw, C. Brenner, Vol. 1. New York: Plenum
87. Rothschild, Lord 1949. Measurement of sperm activity before artificial insemination. Nature 163: 358-59
88. Rothschild, Lord 1962. Sperm movement-problems and observations. In Spermatozoan Motility, pp. 13-29. Washington, DC: AAAS
89. Rüffer, U., Nultsch, W. 1985. High-speed cinematographic analysis of the movement of Chlamydomonas. Cell Motility 5: 251-63
90. Schnitzer, M. J., Block, S. M., Berg, H. C., Purcell, E. M. 1990. Strategies for Chemotaxis. In Biology of the Chemotactic Response, ed. J. P. Armitage, J. M. Lackie, 46th Symp. Soc. Gen. Microbiol, pp. 15-34. Cambridge: Cambridge Univ. Press
91. Shioi, J., Dang, C. V., Taylor, B. L. 1987. Oxygen as attractant and repellant in bacterial chemotaxis. J. Bacterial. 169: 3118-23
92. Sleigh, M. A. 1973. Cilia and Flagella. London: Academic
93. Smith, M. K. 1989. The axisymmetric long-wave instability of a concentric two-phase pipe flow. Phys. Fluids A1: 494-506
94. Spormann, A. M. 1987. Unusual swimming behaviour of a magnetotactic bacterium. FEMS Microbiol. Ecol. 45: 37-45
95. Taylor, B. L. 1983. Role of proton motive force in sensory transduction by bacteria. Annu. Rev. Microbiol. 37: 551-73
96. Timm, U., Okubo, A. 1991. Gyrotaxis: interaction between alga and microflagellate. To be published
97. Tsuchiya, Y., Kawakubo, T. 1981. Effect of cell density on thermotaxis of Paramecium. J. Protozool. 28: 467-69
98. Wager, H. 1911. On the effect of gravity on the movements and aggregation of Euglena viridis, Ehrb., and other microorganisms. Philos. Trans. R. Soc. London Ser. B 201: 333-90
99. Wille, J. J., Ehret, C. F. 1968. Orcadian rhythm of pattern formation in populations of a free-swimming organism, Tetrahymena. J. Protozool. 15: 789-92
100. Winet, H., Bernstein, G. S., Head, J. 1984. Observation on the response of human spermatozoa to gravity, boundaries and fluid shear. Reprod. Pert. 70: 511-23
101. Winet, H., Jahn, T. L. 1972. On the origin of bioconvective fluid instabilities in Tetrahymena culture systems. Biorheology 9: 87-104