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Individual and collective fluid dynamics of swimming cells

Published online by Cambridge University Press:  21 April 2006

John O. Kessler
John O. Kessler
Affiliation:
Physics Department, University of Arizona, Tucson, AZ 85721, USA
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Abstract

Gravitational and viscous torques acting on swimming micro-organisms orient their trajectories. The horizontal component of the swimming velocity of individuals of the many algal genera having a centre of mass displaced toward the rear of the cell is therefore in the direction g × ([dtri ] × u), where g is the acceleration due to gravity. This phenomenon, called gyrotaxis, results in the cells swimming toward downward-flowing regions of their environment. Since the cells’ density is greater than that of water, regions of high (low) cell concentration sink (rise). The horizontal component of gyrotaxis reinforces this type of buoyant convection, whilst the vertical one maintains it. Gyrotactic buoyant convection results in the spontaneous generation of descending plumes containing high cell concentration, in spatially regular concentration/convection patterns, and in the perturbation of initially well-defined flow fields. This paper presents a height- and azimuth-independent steady-state solution of the Navier-Stokes and cell conservation equations. This solution, and the growth rate of a concentration fluctuation, are shown to be governed by a parameter similar to a Rayleigh number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 173 , December 1986 , pp. 191 - 205
Copyright
© 1986 Cambridge University Press

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References

Childress, S. 1984 Chemotactic collapse in two dimensions. In Modelling of Patterns in Space and Time (ed. W. Jäger & J. D. Murray), Lecture Notes in Biomathematics, Vol. 55, p. 61. Springer.
Childress, S., Levandowsky, M. & Spiegel, E. A. 1975 Pattern formation in a suspension of swimming microorganisms. J. Fluid Mech. 69, 591.Google Scholar
Childress, S. & Percus, J. K. 1981 Nonlinear aspects of chemotaxis. Math. Biosci. 56, 217.Google Scholar
Diehn, B., Feinleib, M., Haupt, W., Hildebrand, W., Lenci, F. & Nultsch, W. 1977 Terminology of behavioral responses of motile microorganisms. Photochem. Photobiol. 26, 559.Google Scholar
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice Hall.
Joseph, D. D. & Lundgren, T. S. 1973 Quasilinear Dirichlet problems driven by positive sources. Arch. Rat. Mech. Anal. 49, 241.Google Scholar
Kessler, J. O. 1984 Gyrotactic buoyant convection and spontaneous pattern formation in algal cell cultures. In Nonequilibrium Phenomena in Physics and Related Fields (ed. M. G. Velarde), p. 241. Plenum.
Kessler, J. O. 1985a Hydrodynamic focusing of motile algal cells. Nature 313, 218.Google Scholar
Kessler, J. O. 1985b Cooperative and concentrative phenomena of swimming micro-organisms. Comtemp. Phys. 26, 147.Google Scholar
Kessler, J. O. 1986 The external dynamics of swimming micro-organisms. In Progress in Phycological Research, vol. 4 (ed. F. E. Round), p. 257. Bristol: Biopress.
Nultsch, W. 1983 Photocontrol of movement of Chlamydomonas. In The Biology of Photoreception (ed. D. J. Cosens & D. Vince-Prue), p. 521. Soc. for Experimental Biology Symposium XXXVI.
Roberts, A. M. 1981 Hydrodynamics of Protozoan swimming. In Biochemistry and Physiology of Protozoa, vol. 4, 2nd edn (ed. M. Levandowsky and S. Hutner), p. 5. Academic.
Taylor, G. I. 1951 Analysis of the swimming of microscopic organisms. Proc. R. Soc. Lond A 209, 447.Google Scholar
Taylor, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 219, 186.Google Scholar