Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-12-01T02:49:53.030Z Has data issue: false hasContentIssue false

Nutrient transport and acquisition by diatom chains in a moving fluid

Published online by Cambridge University Press:  18 September 2009

MAGDALENA M. MUSIELAK*
Affiliation:
Department of Mathematics, George Washington University, Washington, DC 20052, USA
LEE KARP-BOSS
Affiliation:
School of Marine Sciences, University of Maine, Orono, ME 04469, USA
PETER A. JUMARS
Affiliation:
School of Marine Sciences, University of Maine, Orono, ME 04469, USA
LISA J. FAUCI
Affiliation:
Department of Mathematics, Tulane University, New Orleans, LA 70118, USA
*
Email address for correspondence: [email protected]

Abstract

The role of fluid motion in delivery of nutrients to phytoplankton cells is a fundamental question in biological and chemical oceanography. In the study of mass transfer to phytoplankton, diatoms are of particular interest. They are non-motile, are often the most abundant components in aggregates and often form chains, so they are the ones expected to benefit most from enhancement of nutrient flux due to dissipating turbulence. Experimental data to test the contribution of advection to nutrient acquisition by phytoplankton are scarce, mainly because of the inability to visualize, record and thus imitate fluid motions in the vicinities of cells in natural flows. Laboratory experiments have most often used steady Couette flows to simulate the effects of turbulence on plankton. However, steady flow, producing spatially uniform shear, fails to capture the diffusion of momentum and vorticity, the essence of turbulence. Thus, numerical modelling plays an important role in the study of effects of fluid motion on diffusive and advective nutrient fluxes. In this paper we use the immersed boundary method to model the interaction of rigid and flexible diatom chains with the surrounding fluid and nutrients. We examine this interaction in two nutrient regimes, a uniform background concentration of nutrients, such as might be typical of an early spring bloom, and a contrasting scenario in which nutrients are supplied as small, randomly distributed pulses, as is more likely for oligotrophic seas and summer conditions in coastal and boreal seas. We also vary the length and flexibility of chains, as whether chains are straight or bent, rigid or flexible will affect their behaviour in the flow and hence their nutrient fluxes. The results of numerical experiments suggest that stiff chains consume more nutrients than solitary cells. Stiff chains also experience larger nutrient fluxes compared to flexible chains, and the nutrient uptake per cell increases with increasing stiffness of the chain, suggesting a major advantage of silica frustules in diatoms.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Almqvist, N., Delamo, Y., Smith, B. L., Thomson, N. H., Bartholdson, A., Lal, R., Brzezinski, M. & Hansma, P. K. 2001 Micromechanical and structural properties of a pennate diatom investigated by atomic force microscopy. J. Microsc. 202 (3), 518532.CrossRefGoogle ScholarPubMed
Blackburn, N., Azam, F. & Hagstrom, A. 1997 Spatially explicit simulations of microbial food web. Limnol. Oceanogr. 42 (4), 613622.CrossRefGoogle Scholar
Crimaldi, J. P., Hartford, J. R. & Weiss, J. B. 2006 Reaction enhancement of point sources due to vortex stirring. Phys. Rev. E 74, 016307.1-016307.4.CrossRefGoogle ScholarPubMed
Davidson, P. A. 2004 Turbulence: An Introduction for Scientists and Engineers. Oxford University Press.Google Scholar
Dillon, R., Fauci, L., Fogelson, A. & Gaver, D. 1996 modelling biofilm processes using the immersed boundary method. J. Comput. Phys. 129, 57.CrossRefGoogle Scholar
Fauci, L. & McDonald, A. 1994 Sperm motility in the presence of boundaries. Bull. Math. Biol. 57, 679.CrossRefGoogle Scholar
Fryxell, G. A. & Miller, W. I. 1978 Chain-forming diatoms: three araphid species. Bacillaria 1, 113136.Google Scholar
Jeffery, G. B. 1922 The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. A 102 (715), 161179.Google Scholar
Jumars, P. A., Boss, E., Trowbridge, J. H. & Karp-Boss, L. 2009 Turbulence–plankton interactions: a new cartoon. Mar. Ecol. 30, 133150.CrossRefGoogle Scholar
Karp-Boss, L., Boss, E. & Jumars, P. A. 1996 Nutrient fluxes to planktonic osmotrophs in the presence of fluid motion. Oceanogr. Mar. Biol. 34, 71107.Google Scholar
Karp-Boss, L. & Jumars, P. A. 1998 Motion of diatom chains in steady shear flow. Limnol. Oceanogr. 43 (8), 17671773.CrossRefGoogle Scholar
Kim, J. & Moin, P. 1985 Application of a fractional-step method to incompressible Navier–Stokes equations. J. Comput. Phys. 59, 308323.CrossRefGoogle Scholar
Kiørboe, T., Ploug, H. & Thygesen, U. H. 2001 Fluid motion and solute distribution around sinking aggregates. Part 1. Small-scale fluxes and heterogeneity of nutrients in the pelagic environment. Mar. Ecol. Prog. Ser. 211, 113.CrossRefGoogle Scholar
Kleis, S. J. & Rivera-Solorio, I. 2003 Time scales for unsteady mass transfer from a sphere at low-finite reynolds numbers. J. Heat Transfer 125 (4), 716723.CrossRefGoogle Scholar
Lazier, J. R. N. & Mann, K. H. 1989 Turbulence and the diffusive layers around small organisms. Deep-Sea Res. 36 (11), 17211733.CrossRefGoogle Scholar
Li, T., Deen, N. G. & Kuipers, J. A. M. 2005 Numerical investigation of hydrodynamics and mass transfer for in-line fibre arrays in laminar crossflow at low Reynolds numbers. Chem. Engng Sci. 60, 18371847.CrossRefGoogle Scholar
Martin-Jézéquel, V., Hildebrand, M. & Brzezinski, M. A. 2000 Silicon metabolism in diatoms: implications for growth. J. Phycol. 36, 821840.CrossRefGoogle Scholar
Mittal, R. & Iaccarino, G. 2005 Immersed boundary methods. Annu. Rev. Fluid Mech. 37, 239261.CrossRefGoogle Scholar
Moore, J. K. & Villareal, T. A. 1996 Size-ascent rate relationships in positively buoyant marine diatoms. Limnol. Oceanogr. 41 (7), 15141520.CrossRefGoogle Scholar
Munk, W. H. & Riley, G. A. 1952 Absorption of nutrients by aquatic plants. J. Mar. Res. 11, 215–40.Google Scholar
Musielak, M. M. 2007 A computational model of nutrient transport and acquisition by diatom chains in a moving fluid. PhD thesis, Tulane University, New Orleans, LA, USA.Google Scholar
Paasche, E. 1973 Silicon and the ecology of marine plankton diatoms. Part 2. Silicate-uptake kinetics in five diatom species. Mar. Biol. 19, 262.CrossRefGoogle Scholar
Pahlow, M., Riebesell, U. & Wolf-Gladrow, D. A. 1997 Impact of cell shape and chain formation on nutrient acquisition by marine diatoms. Limnol. Oceanogr. 42 (8), 16601672.CrossRefGoogle Scholar
Peskin, C. S. 2002 The immersed boundary method. Acta Num. 11, 479517. Published online by Cambridge University Press, 15 July 2003.CrossRefGoogle Scholar
Purcell, E. M. 1977 Life at low Reynolds number. Am. J. Phys. 45, 311.CrossRefGoogle Scholar
Reynolds, C. S. 2006 The Ecology of Phytoplankton. Cambridge University Press.CrossRefGoogle Scholar
Round, F. E., Crawford, R. M. & Mann, D. G. 1990 The Diatoms: Biology and Morphology of the Genera. Cambridge University Press.Google Scholar
Shimeta, J. S., Jumars, P. A. & Lessard, E. J. 1995 Influences of turbulence on suspension feeding by planktonic protozoa: experiments in laminar shear field. Limnol. Oceanogr. 40, 845859.CrossRefGoogle Scholar
Short, M., Solari, C., Ganguly, S., Powers, T., Kessler, J. & Goldstein, R. 2006 Flows driven by flagella of multicellular organisms enhance long-range molecular transport. Proc. Natl Acad. Sci. USA 103, 83158319.CrossRefGoogle ScholarPubMed
Solari, C. A., Ganguly, S., Kessler, J. O., Michod, R. E. & Goldstein, R. E. 2006 Multicellularity and the functional interdependence of motility and molecular transport. Proc. Natl Acad. Sci. USA 103, 13531358.CrossRefGoogle ScholarPubMed
Sournia, A. 1982 Form and function in marine phytoplankton. Biol. Rev. 57, 347394.CrossRefGoogle Scholar
Tada, S. & Tarbell, J. M. 2004 Internal elastic lamina affects the distribution of macromolecules in the arterial wall: a computational study. Am. J.Physiol: Heart Circ. Physiol. 287, H905H913.Google ScholarPubMed
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.CrossRefGoogle Scholar
Thamatrakoln, K. & Hildebrand, M. 2008 Silicon uptake in diatoms revisited: a model for saturable and nonsaturable uptake kinetics and the role of silicon transporters. Plant Physiol. 146, 13971407.CrossRefGoogle Scholar
Thorpe, S. A. 2007 An Introduction to Ocean Turbulence. Cambridge University Press.CrossRefGoogle Scholar
Tomas, C. R. (Ed.) 1997 Identifying Marine Phytoplankton. Academic Press.Google Scholar
Werner, D. (Ed.) 1977 The Biology of Diatoms. Botanical Monographs, vol. 13. University of California Press.Google Scholar
Zhu, L. & Peskin, C. S. 2002 Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys. 179, 452468.CrossRefGoogle Scholar