The interaction of thin-film flow, bacterial swarming and cell differentiation in colonies of Serratia liquefaciens

Journal of Mathematical Biology

Volumn 40, Issue 1, 2000, Pages 27-63

  Bees, M A ^a   Andresen P ^a   Mosekilde, E ^a   Givskov, M ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Bacteria; Differentiation; Hydrodynamics; Swarming; Thin film theory; Wetting agent

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; CELL DIVISION; CULTURE MEDIUM; CYTOLOGY; GROWTH, DEVELOPMENT AND AGING; MATHEMATICS; MOVEMENT (PHYSIOLOGY); PHYSIOLOGY; SERRATIA; VISCOSITY;

CELL DIVISION; CULTURE MEDIA; MATHEMATICS; MODELS, BIOLOGICAL; MOVEMENT; SERRATIA; VISCOSITY;

EID: 0033628946     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050004     Document Type: Article

References (71)

1. D. J. Acheson. Elementary Fluid Dynamics. Clarendon Press, Oxford, 1990
2. A. Ammendola, O. Geisenberger, J. B. Andersen, M. Givskov, K. H. Schleifer and L. Eberl. Serratia liquefaciens swarm cells exhibit enhanced resistance to predation by tetrahymena sp. FEMS Microbiology Letters, 164: 69-75, 1998
3. C. D. Amsler. Use of computer-assisted motion analysis for quantitative measurements of swimming behavior in peritrichously flagellated bacteria. Analytical Biochemistry, 235: 20-25, 1996
4. P. Andresén, M. A. Bees, M. Givskov and E. Mosekilde. Quantitative effects of media hardness and nutrient availability on the swarming and differentiation of Serratia liquefaciens. In preparation, 1999
5. M. A. Bees and N. A. Hill. Wavelengths of bioconvection patterns. Journal of Experimental Biology, 200: 1515-1526, 1997
6. M. A. Bees and N. A. Hill. Linear bioconvection in a suspension of randomly swimming, gyrotactic micro-organisms. Physics of Fluids, 10: 1864-1881, 1998
7. M. A. Bees and N. A. Hill. Non-Linear biconvection in a deep suspension of gyrotactic micro-organisms. Journal of Mathematical Biology, 38: 135-168, 1999
8. M. A. Bees, N. A. Hill and T. J. Pedley. Analytical approximations for the orientation of small dipolar particles in steady shear flows. Journal of Mathematical Biology, 36: 269-298, 1998
9. E. Ben-Jacob, I. Cohen, O. Shochet, I. Aranson, H. Levine and L. Tsimring. Complex bacterial patterns. Nature, 373: 566-567, 1995a
10. E. Ben-Jacob, O. Shochet, I. Cohen, A. Tenenbaum, A. Czirók and T. Vicsek. Cooperative strategies in formation of complex bacterial patterns. Fractals - An Interdisciplinary Journal on the Complex Geometry of Nature, 3: 849-868, 1995b
11. E. Ben-Jacob, O. Shochet, A. Tenenbaum, I. Cohen, A. Czirók and T. Vicsek. Generic modeling of cooperative growth patterns in bacterial colonies. Nature, 368: 46-49, 1994
12. E. BenJacob, I. Cohen, A. Czirók, T. Vicsek and D. L. Gutnick. Chemomodulation of cellular movement, collective formation of vortices by swarming bacteria, and colonial development. Physica A, 238: 181-197, 1997
13. A. L. Bertozzi, M. P. Brenner, T. F. Dupont and L. P. Kadanoff. Singularities and similarities in interface flows. Springer-Verlag, 1994
14. A. L. Bertozzi and M. Pugh. The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions. Nonlinearity, 7: 1535-1564, 1994
15. A. L. Bertozzi and M. Pugh. The lubrication approximation for thin viscous films: regularity and long time behaviour of weak solutions. Communications in Pure and Applied Mathematics, 49: 85, 1996
16. M. Brenner and A. L. Bertozzi. Spreading of droplets on a solid surface. Physical Review Letters, 71: 593-596, 1993
17. E. O. Budrene and H. C. Berg. Dynamics of formation of symmetrical patterns by chemotactic bacteria. Nature, 376: 49-53, 1995
18. J. P. Burelbach, S. G. Bankoff and S. H. Davis. Nonlinear stability of evaporating condensing liquid-films. Journal of Fluid Mechanics, 195: 463-494, 1988
19. C. Chiu, F. C. Hoppensteadt and Willi Jäger. Analysis and computer simulation of accretion patterns in bacterial cultures. Journal of Mathematical Biology, 32: 841-855, 1994
20. P. G. de Gennes. Wetting: Statics and dynamics. Reviews of Modern Physics, 57: 827-863, 1985.
21. P. G. de Gennes, X. Hua and P. Levinson. Dynamics of Wetting: local contact angles, Journal of Fluid Mechanics, 212: 55-63, 1990
22. B. V. Deryagin. Zh. Fiz. Khim., 14: 137, 1940
23. B. V. Deryagin, Kolloidn. Zh., 17: 191, 1995
24. E. B. V. Dussan and S. Davies. Journal of Fluid Mechanics, 65: 71-95, 1974
25. L. Eberl, G. Christiansen, S. Molin and M. Givskov. Differentiation of Serratia liquefaciens into swarm cells is controlled by the expression of the flhD master operon. Journal of Bacteriology, 178: 554-559, 1996a
26. L. Eberl, S. Molin and M. Givskov. Surface motility of Serratia liquefaciens MG1. In preparation, 1999
27. L. Eberl, M. K. Winson, C. Sternberg, G. S. A. B. Stewart, G. Christiansen, S. R. Chhabra, B. Bycroft, P. Williams, S. Molin and M. Givskov. Involvement of N-acyl-L-homoserine lactone autoinducers in controlling the multicellular behaviour of Serratia liquefaciens. Molecular Microbiology, 20: 127-136, 1996b
28. A. Einstein. Annalen der Physik, 19: 289, 1906
29. A. Einstein. Annalen der Physik, 34: 591, 1911
30. S. E. Esipov and J. A. Shapiro. Kinetic models of Proteus mirabilis swarm colony development. Journal of Mathematical Biology, 36: 249-268, 1998
31. R. M. Ford. Mathematical modeling and quantitative characterization of bacterial motility and chemotaxis. In Modeling the Metabolic and Physiology Activities of Microorganisms, pages 177-215, John Wiley and Sons, Inc, 1992
32. M. Givskov, R. de Nys, M. Manefield, L. Gram, R. Maximilien, L. Eberl, S. Molin, P. Steinberg and S. Kjelleberg. Eukaryotic interference with homoserine lactone-mediated prokaryotic signalling. Journal of Bacteriology, 178: 6618-6622, 1996
33. M. Givskov, L. Eberl, G. Christiansen, J. M. Benedik and S. Molin. Induction of phospholipase and flagellar synthesis in Serratia liquefaciens is controlled by expression of the flagellar master operon flhD. Molecular Microbiology, 15: 445-454, 1995
34. M. Givskov, L. Eberl and S. Molin. Control of exoenzyme production, motility and cell differentiation in Serratia liquefaciens. FEMS Microbiology Letters, 148: 115-122, 1997
35. M. Givskov and S. Molin. Expression of extracellular phospholipase from Serratia liquefaciens is growth-phase dependent, catabolite repressed and regulated by anaerobiosis. Molecular Microbiology, 6: 1363-1374, 1992
36. M. Givskov, L. Olsen and S. Molin. Cloning and expression in Escherichia coli of the gene for an extracellular phospholipase from Serratia liquefaciens. Journal of Bacteriology, 170: 5855-5862, 1988
37. M. Givskov, J. Östling, P. W. Lindum, L. Eberl, G. Christiansen and S. Molin and S. Kjelleberg. The participation of two separate regulatory systems in controlling swarming motility of Serratia liquefaciens. Journal of Bacteriology, 180: 742-745, 1998
38. L. Gram, R. de Nys, R. Maximilien, M. Givskov, P. Steinberg and S. Kjelleberg. Inhibitory effects of secondary metabolites from the red alga Delisea pulchra on swarming motility of Proteus mirabilis. Applied and Environmental Microbiology, 62: 4284-4287, 1996
39. H. P. Greenspan. On the motion of a small viscous drop that wets a surface, Journal of Fluid Mechanics, 84: 125-143, 1978.
40. D. Gygi, M. M. Rahman, H.-C. Lai, R. Carlson, J. Guard-Petter and C. Hughes. A cell surface polysaccharide that facilitates rapid population migration by differentiated swarm cells of Proteus mirabilis. Molecular Microbiology, 17: 1167-1175, 1995
41. R. M. Harshey. Bees aren't the only ones: swarming in Gram-negative bacteria, Molecular Microbiology, 13: 389-394, 1994
42. R. M. Harshey and T. Matsuyama. Dimorphic transition in Escherichia coli and Salmonella typhimurium: surface-induced differentiation into hyperflagellate swarmer cells. Proceedings of the National Academy of Sciences U.S.A., 91: 8631-8635, 1994
43. N. A. Hill and D. P. Häder. A biased random walk model for the trajectories of swimming micro-organisms. Journal of Theoretical Biology, 186: 503-526, 1997
44. C. Huh and L. E. Scriven. Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. Journal of Colloid and Interface Science, 35: 85-101, 1971
45. J. Israelachvili. Intermolecular and surface forces. Academic Press, New York, 2nd edition, 1991
46. D. A. R. Jones, B. Leary and D. V. Boger. The rheology of a sterically stabilized suspension at high-concentration. Journal of Colloid and Interface Science, 150: 84, 1992
47. B. Li, J. Wang, B. Wang, W. Liu, and Z. Wu. Computer simulations of bacterial-colony formation. Europhysics Letters, 30: 239-243, 1995.
48. P. W. Lindum, U. Anthoni, C. Christoffersen, L. Eberl, S. Molin and M. Givskov. N-acyl-L-homoserine lactone autoinducers control production of an extracellular surface active lipopeptide required for swarming motility of Serratia liquefaciens MG1. Journal of Bacteriology, 180: 6384-6388, 1998
49. R. M. Harshey, M. Burkart, A. Toguchi. The chemotaxis system, but not chemotaxis, is essential for swarming motility in Escherichia coli. Proceedings of the National Academy of Sciences U.S.A., 95: 2568-2573, 1998
50. M. T. Madigan, J. M. Martinko and J. Parker. Brock Biology of Microorganisms, Prentice-Hall, New Jersey, 8th edition, 1997
51. T. Matsuyama and M. Matsushita. Fractal morphogenesis by a bacterial-cell population. Critical Reviews in Microbiology, 19: 189, 1993
52. L. McCarter, M. Hilmen and M. Silvermen. Flagellar dynamometer controls swarmer cell-differentiation of V. parahaemolyticus. Cell, 54: 345-351, 1988
53. N. H. Mendelson and B. Salhi. Patterns of reporter gene expression in the phase diagram of Bacillus subtilis colony forms. Journal of Bacteriology, 178: 1980-1989, 1996
54. A. Nakahara and Y. Shimada and J. Wakita, M. Matsushita and T. Matsuyama. Morphological diversity of the colony produced by bacteria Proteus mirabilis. Journal of the Physical Society of Japan, 65: 2700-2706, 1996
55. M. Ohgiwari, M. Matsushita and T. Matsuyama. Morphological changes in growth phenomena of bacterial colony patterns. Journal of the Physical Society of Japan, 61: 816-822, 1992
56. T. J. Pedley and J. O. Kessler. Hydrodynamic phenomena in suspensions of swimming micro-organisms. Annual Review of Fluid Mechanics, 24: 313-358, 1992
57. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery. Numerical Recipes in FORTRAN. The Art of Scientific Computing. Cambridge University Press, second edition, 1992
58. M. Ramia and M. A. Swan. The swimming of unipolar cells of Spirillum volutans - theory and observations. Journal of Experimental Biology, 187: 75-100, 1994
59. M. Ramia, D. L. Tullock and N. Phan-Thien. The role of hydrodynamic interaction in the locomotion of microorganisms. Biophysical Journal, 65: 755-778, 1993
60. O. Rauprich, M. Matsushita, C. J. Weijer, F. Siegert, S. E. Esipov and J. A. Shapiro. Periodic phenomena in Proteus mirabilis swarm colony development. Journal of Bacteriology, 178: 6525-6538, 1996
61. A. M. Roberts. The external dynamics of swimming micro-organisms. Nature, 828: 375-376, 1970
62. A. M. Roberts. The biased random walk and the analysis of micro-organism movement. In T. Y. T. Wu, C. J. Brokaw, and C. Bennen, editors, Swimming and Flying in Nature, number 1, pages 377-393, New York, London, 1975. Plenum Press
63. J. A. Shapiro. The significances of bacterial colony patterns. BioEssays, 17: 597-607, 1995
64. Y. Shimada, A. Nakahara, M. Matsushita and T. Matsuyama. Spatiotemporal patterns produced by bacteria. Journal of the Physical Society of Japan, 64: 1896-1899, 1995
65. S. Stretton, S. J. Danon, S. Kjelleberg and A. E. Goodman. Changes in cell morphology and motility in the marine Vibrio sp. strain S14 during conditions of starvation and recovery. FEMS Microbiology Letters, 146: 23-29, 1997
66. L. Tanner. Journal of Physics D, 12: 1473, 1979
67. L. Tsimring, H. Levine, I. Aranson, E. Ben-Jacob, I. Cohen, O. Shochet and W. N. Reynolds. Aggregation patterns in stressed bacteria. Physical Review Letters, 75: 1859-1862, 1995
68. J. C. van der Werff and C. B. de Kruif. Hard-sphere colloidal dispersions - the scaling of rheological properties with particle-size, volume fraction, and shear rate. Journal of Rheology, 33: 421-454, 1989
69. R. Verberg, I. M. de Schepper and E. G. D. Cohen. Viscosity of colloidal suspensions. Physical Review E, 55: 3143-3158, 1997
70. M. B. Williams and S. H. Davies. Nonlinear theory of film rupture. Journal of Colloid and Interface Science, 90: 220-228, 1982
71. D. E. Woodward, R. Tyson, M. R. Myerscough, J. D. Murray, E. O. Budrene and H. C. Berg. Spatio-temporal patterns generated by Salmonella typhimurium. Biophysical Journal, 68: 2181-2189, 1995