A model for bacterial colonization of sinking aggregates

Bulletin of Mathematical Biology

Volumn 69, Issue 1, 2007, Pages 417-431

  Bearon, R N ^a,b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Encounter rate; Marine snow; Swimming bacteria

Indexed keywords

SEA WATER;

ARTICLE; BACTERIUM; BIOLOGICAL MODEL; COMPARATIVE STUDY; GROWTH, DEVELOPMENT AND AGING; MATHEMATICAL COMPUTING; MICROBIOLOGY;

BACTERIA; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; SEAWATER;

BACTERIA (MICROORGANISMS);

EID: 33846470452     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-005-9038-8     Document Type: Article

References (32)

1. Acrivos, A., Goddard, J.D., 1965. Asymptotic expansions for laminar forced-convection heat and mass transfer. Part 1. Low speed flows. J. Fluid Mech. 23, 273-291.
2. Alldredge, A.L., Gotschalk, C., 1988. In situ settling behavior of marine snow. Limnol. Oceanogr. 33, 339-351.
3. Azam, F., 1998. Microbial control of oceanic carbon flux: The plot thickens. Science 280, 694-696.
4. Barbara, G.M., Mitchell, J.G., 2003. Bacterial tracking of motile algae. FEMS Microbiol. Ecol. 44, 79-87.
5. Batchelor, G.K., 1967. An introduction to fluid dynamics. Cambridge University Press, New York.
6. Bearon, R.N., 2003. An extension of generalized Taylor dispersion in unbounded homogeneous shear flows to run-and-tumble chemotactic bacteria. Phys. Fluids 15, 1552-1563.
7. Berg, H.C., 1983. Random Walks in Biology. Princeton University Press, Englewood Cliffs, NJ.
8. Berg, H.C., Brown, D.A., 1972. Chemotaxis in Escherichia coli analysed by three-dimensional tracking. Nature 239, 500-504.
9. Blackburn, N., Fenchel, T., Mitchell, J., 1998. Microscale nutrient patches in planktonic habitats shown by chemotactic bacteria. Science 282, 2254-2256.
10. Bowen, J.D., Stolzenbach, K.D., Chisholm, S.W., 1993. Simulating bacterial clustering around phytoplankton cells in a turbulent ocean. Limnol. Oceanogr. 38, 36-51.
11. Caron, D.A., Davis, P.G., Madin, L.P., Sieburth, J.M., 1986. Enrichment of microbial populations in macroaggrgates (marine snow) from surface waters of the North Atlantic. J. Mar. Res. 44, 543-565.
12. Clift, R., Grace, J.R., Weber, M.E., 1978. Bubbles, drops and particles. Academic, New York.
13. Frankel, I., Brenner, H., 1991. Generalized Taylor dispersion phenomena in unbounded homogeneous shear flows. J. Fluid Mech. 230, 147-181.
14. Gerritsen, J., Strickler, J.R., 1977. Encounter probabilities and community structure in zooplankton: A mathematical model. J. Fish. Res. Board Can. 34, 73-82.
15. Grimmett, G.R., Stirzaker, D.R. 1992. Probability and Random Processes, 2nd edition. Oxford University Press, Oxford.
16. Grossart, H.-P., Riemann, L., Azam, F. 2001. Bacterial motility in the sea and its ecological implications. Aquat. Microb. Ecol. 25, 247-258.
17. Hill, N.A., Bees, M.A., 2002. Taylor dispersion of gyrotactic swimming micro-organisms in a linear flow. Phys. Fluids 14, 2598-2605.
18. Hill, N.A., Häder, D.P., 1997. A biased random walk model for the trajectories of swimming micro-organisms. J. Theor. Biol. 186, 503-526.
19. Jackson, G.A., 1989. Simulation of bacterial attraction and adhesion to falling particles in an aquatic environment. Limnol. Oceanogr. 34, 514-530.
20. Johansen, J.E., Pinhassi, J., Blackburn, N., Zweifel, U.L., Hagström, A., 2002. Variability in motility characteristics among marine bacteria. Aquat. Microb. Ecol. 28, 229-237.
21. Karp-Boss, L., Boss, E., Jumars, P.A., 1996. Nutrient fluxes to planktonic osmotrophs in the presence of fluid motion. Oceanogr. Mar. Biol. Annu. Rev. 34, 71-107.
22. Kim, S., Karrila, S.J., 1991. Microhydrodynamics: Principles and Selected Applications. Butterworth-Heinemann, London.
23. Kiørboe, T., Grossart, H.-P., Ploug, H., Tang, K., 2002. Mechanisms and rates of bacterial colonization of sinking aggregates. Appl. Environ. Microbiol. 68, 3996-4006.
24. Kiørboe, T., Jackson, G.A., 2001. Marine snow, organic solute plumes, and optimal chemosensory behavior of bacteria. Limnol. Oceanogr. 46, 1309-1318.
25. Kiørboe, T., Ploug, H., Thygesen, U.H., 2001. Fluid motion and solute distribution around sinking aggregates. I. Small-scale fluxes and heterogeneity of nutrients in the pelagic environment. Mar. Ecol. Prog. Ser. 211, 1-13.
26. Leal, L.G., 1992. Laminar flow and convective transport processes: Scaling principles and asymptotic analysis. Butterworth-Heinemann, London.
27. Levich, V.G., 1962. Physiochemical hydrodynamics. Prentice-Hall, Englewood Cliffs, NJ.
28. Luchsinger, R.H., Bergersen, B., Mitchell, J.G., 1999. Bacterial swimming strategies and turbulence. Biophys. J. 77, 2377-2386.
29. Pedley, T.J., Kessler, J.O., 1990. A new continuum model for suspensions of gyrotactic microorganisms. J. Fluid Mech. 212, 155-182.
30. Pedley, T.J., Kessler, J.O., 1992. Hydrodynamic phenomena in suspensions of swimming microorganisms. Annu. Rev. Fluid Mech. 24, 313-358.
31. Riffell, J.A., Krug, P.J., Zimmer, R.K., 2002. Fertilization in the sea. the chemical identity of an abalone sperm attractant. J. Exp. Biol. 205, 1439-1450.
32. Vladimirov, V.A., Wu, M.S.C., Pedley, T.J., Denissenko, P.V., Zakhidova, S.G., 2004. Measurement of cell velocity distributions in populations of motile algae. J. Exp. Biol. 207, 1203-1216.