Abstract
A short survey and a critical analysis of previously proposed criteria for growth control of populations of microorganisms in the chemostat are presented. Based on the analysis of a mathematical model of the steady state of a microbial population in the chemostat, an adequate control criterion is suggested, along with a method to identify the corresponding control factors. The new control criterion is expressed as a product of the factor transformation coefficient and the sensitivity coefficient (SC) of the biomass with respect to the change in the factor at the chemostat inlet (hereinafter, the biomass SC). The control criterion determines the strength of the control exerted by a factor. The method of determining control factors consists in experimental determination of the real SCs for factors and the biomass and calculation on this basis of the corresponding ideal SCs, assuming constant factor transformation coefficients. The ideal SCs are shown to add up to integer values, a constraint that we call quantization relationships. Such relationships are used to test the completeness of the list of control factors. The proposed method was applied to both our own and literature data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Odum, Yu., Fundamentals of Ecology, Philadelphia: Saunders, 1971.
Gyunter, E., Kempfe, L., Libbert, E., Myuller, Kh., and Pentslin, Kh., Osnovy obshchei biologii (Fundamentals of General Biology), Moscow: Mir, 1982 (Russian Translation).
Pechurkin, N.S., Bril’kov, A.V., and Marchenkova, T.V., Populyatsionnye aspekty biotekhnologii (Populational Aspects of Biotechnology), Novosibirsk: Nauka, 1990.
Shkidchenko, A.N., Simultaneous Effects of Limiting and Inhibitory Factors on the Growth of Yeasts in Continuous Culture, Mikrobiologiya, 1977, vol. 46, no. 3, pp. 456–460.
Rabotnova, I.L. and Pozmogova, I.N., Khemostatnoe kul’tivirovanie i ingibirovanie rosta mikroorganizmov (Chemostat Cultivation and Inhibition of Microbial Growth), Moscow: Nauka, 1979.
Panikov, N.S., Kinetika rosta mikroorganizmov: Obshchie zakonomernosti i ekologicheskie prilozheniya (Kinetics of Microbial Growth: General Regularities and Ecological Applications), Moscow: Nauka, 1992.
Degermendzhi, A.G., Pechurkin, N.S., and Shkidchenko, A.N., Autostabilizatsiya faktorov, kontroliruyushchikh rost v biologicheskikh sistemakh (Autostabilization of Factors Controlling Growth in Biological Systems), Novosibirsk: Nauka, 1979.
Smeshannye protochnye kul’tury mikroorganizmov (Mixed Continuous Cultures of Microorganisms), Pechurkin, N.S., Ed., Novosibirsk: Nauka, 1981.
Adamovich, V.A., Terskov, I.A., and Degermendzhi, A.G., The Effect of Autostabilization of Controlling Factors and Interactions in the Community, Dokl. Akad. Nauk SSSR, 1987, vol. 295, no. 5, pp. 1236–1239.
Degermendzhy, A.G., Adamovich, V.A., and Pozdyayev, V.N., On the Cybernetics of Bacterial Communities: Observations, Experiments, and Theory, Cybernetics Systems, 1989, vol. 20, pp. 501–541.
Cooney, C.L. and Wang, D.I.C., Transient Response of Enterobacter aerogenes under Dual Nutrient Limitation in a Chemostat, Biotechnol. Bioeng., 1976, vol. 18, pp. 189–198.
Dudina, L.P. and Eroshin, V.K., Determination of the Limiting Component in the Medium during Continuous Cultivation of Microorganisms, Prikl. Biokhim. Mikrobiol., 1979, vol. 15, no. 6, pp. 817–821.
Shul’govskaya, E.M., Pozmogova, I.N., and Sakharova, Z.V., Three-Factorial Limitation of the Yeast Candida utilis Growth in Chemostat, Mikrobiologiya, 1988, vol. 57, no. 3, pp. 513–514.
Degermendzhi, A.G., Adamovich, V.V., and Rogozin, D.Yu., Experimental Test of the Method for the Search for Density-Dependent Factors Controlling Growth in Microbial Populations, Dokl. Akad. Nauk, 1999, vol. 366, no. 3, pp. 425–427.
Shul’govskaya, E.M., Pozmogova, I.N., and Rabotnova, I.L., Growth of a Culture of Candida utilis in Chemostat on Balanced Media, Mikrobiologiya, 1987, vol. 56, no. 4, pp. 631–634.
Shkidchenko, A.N. and Nikitin, V.A., Autoselection of the Yeast Candida utilis in a Chemostat Culture, Mikrobiologiya, 1975, vol. 44, no. 4, pp. 676–681.
Shkidchenko, A.N., Simultaneous Effects of Limiting and Inhibitory Factors on the Growth of Yeasts in Continuous Culture, Mikrobiologiya, 1977, vol. 46, no. 3, pp. 456–460.
Author information
Authors and Affiliations
Additional information
Translated from Mikrobiologiya, Vol. 74, No. 1, 2005, pp. 5–16.
Original Russian Text Copyright © 2005 by Adamovich, Rogozin, Degermendzhi.
Rights and permissions
About this article
Cite this article
Adamovich, V.V., Rogozin, D.Y. & Degermendzhi, A.G. Developing the control criterion for a continuous culture of microorganisms. Microbiology 74, 1–11 (2005). https://doi.org/10.1007/s11021-005-0021-z
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11021-005-0021-z