Abstract
A new equation for the growth rate of photosynthetic microorganisms is derived. It is based on a series formulation of the mechanism of photosynthesis and it has the form of a functional of the spectral qualities of light. Using this functional to model their growth it is shown that populations of photosynthetic microorganisms can coexist in the same homogeneous environment even though they compete for the available light.
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Literature
Blackman, F. F. 1905. “Optima and Limiting Factors.”Ann. Bot. London,19, 281–295.
Calvin, M. and J. A. Bassham. 1962.The Photosynthesis of Carbon Compounds. New York: Benjamin.
Clayton, R. K. 1965.Molecular Physics in Photosynthesis. New York: Blaisdell.
Clayton, R. K. 1965. “An Analysis of the Relations Between Fluorescence and Photochemistry during Photosynthesis.”J. Theor. Biol.,14, 173–186.
Dabes, J. N., C. R. Wilke and K. H. Sauer. 1970. “The Behavior ofChlorella pyrenoidosa in Steady State Continuous Culture. Berkeley: University of California. UCRL-19958.
Fredrickson, A. G. and H. M. Tsuchiya. 1970. “Utilization of the effects of intermittent illumination on photosynthetic microorganisms.” InPrediction and Measurement of Photosynthetic Productivity, Ed. Ivan Šetlik, pp. 519–541. Wageningen: Centre for Agriculture Publishing and Documentation.
Gest, H., A. San, Pietro and L. P. Vernon, Eds. 1963.Bacterial Photosynthesis. Yellow Springs, Ohio: Antioch Press.
Goodwin, T. W. (Ed.). 1966.Biochemistry of Chloroplasts. London and New York: Academic Press.
Hill, R. and C. P. Whittingham. 1957.Photosynthesis. (2nd. ed.). London: Methuen.
Hutchinson, G. E. 1961. “The Paradox of the Plankton.”Am. Natur.,95, 137–145.
Joliot, P., R. Delosme and A. Joliot. 1966.Currents in Photosynthesis, Eds. J. B. Thomas and J. C. Goedheer, p. 359. Rotterdam: Ad. Donter.
Kamen, M. D. 1963.Primary Processes in Photosynthesis. New York: Academic Press.
Rieske, J. S., R. Lumry and J. D. Spikes. 1959. “The Mechanism of the Photochemical Activity of Isolated chloroplasts. III. Dependence of Velocity on Light Intensity.”Plant Physiol. 34, 293–300.
Shelef, G., W. J. Oswald and C. G. Colueke. 1968. “Kinetics of Algal Systems in Waste Treatment,” SERL Report No. 68-4. Berkeley University of California.
Steele, J. H. 1965. “Notes on Some Theoretical Problems in Production Ecology.” InPrimary Production in Aquatic Environment, Ed. C. R. Goldman, pp. 383–398. Berkeley: University of California Press.
Stephanopoulos, G. N. 1978. “Mathematical Modelling of the Dynamics of Interacting Microbial Populations. Extinction Probabilities in a Stochastic Competition and Predation,” Ph.D. Thesis. Minnesota: University of Minnesota.
Tamiya, H., E. Hast, K. Shibota, A. Mituya, T. Iwanura, T. Nihei and T. Sasa. 1953. “Kinetics of growth ofChlorella, with special reference to its dependence on quality of available light and on temperature.” InAlgal Culture from Laboratory to Pilot Plant, Ed. J. S. Burlew, pp. 204–232. Washington, D.C.: Carnegie Institute of Washington.
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Stephanopoulos, G., Fredrickson, A.G. Coexistence of photosynthetic microorganisms with growth rates depending on the spectral quality of light. Bltn Mathcal Biology 41, 525–542 (1979). https://doi.org/10.1007/BF02458328
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DOI: https://doi.org/10.1007/BF02458328