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. 1971 Dec;22(6):1041–1047. doi: 10.1128/am.22.6.1041-1047.1971

Control of Growth Rate by Initial Substrate Concentration at Values Below Maximum Rate

Anthony F Gaudy Jr 1,2, Alan Obayashi 1,2, Elizabeth T Gaudy 1,2
PMCID: PMC376482  PMID: 5137579

Abstract

The hyperbolic relationship between specific growth rate, μ, and substrate concentration, proposed by Monod and used since as the basis for the theory of steady-state growth in continuous-flow systems, was tested experimentally in batch cultures. Use of a Flavobacterium sp. exhibiting a high saturation constant for growth in glucose minimal medium allowed direct measurement of growth rate and substrate concentration throughout the growth cycle in medium containing a rate-limiting initial concentration of glucose. Specific growth rates were also measured for a wide range of initial glucose concentrations. A plot of specific growth rate versus initial substrate concentration was found to fit the hyperbolic equation. However, the instantaneous relationship between specific growth rate and substrate concentration during growth, which is stated by the equation, was not observed. Well defined exponential growth phases were developed at initial substrate concentrations below that required for support of the maximum exponential growth rate and a constant doubling time was maintained until 50% of the substrate had been used. It is suggested that the external substrate concentration initially present “sets” the specific growth rate by establishing a steady-state internal concentration of substrate, possibly through control of the number of permeation sites.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. HERBERT D., ELSWORTH R., TELLING R. C. The continuous culture of bacteria; a theoretical and experimental study. J Gen Microbiol. 1956 Jul;14(3):601–622. doi: 10.1099/00221287-14-3-601. [DOI] [PubMed] [Google Scholar]
  2. Koch A. L., Coffman R. Diffusion, permeation, or enzyme limitation: a probe for the kinetics of enzyme induction. Biotechnol Bioeng. 1970 Sep;12(5):651–677. doi: 10.1002/bit.260120503. [DOI] [PubMed] [Google Scholar]
  3. Kubitschek H. E. Constancy of uptake during the cell cycle in Escherichia coli. Biophys J. 1968 Dec;8(12):1401–1412. doi: 10.1016/S0006-3495(68)86562-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Kubitschek H. E. Evidence for the generality of linear cell growth. J Theor Biol. 1970 Jul;28(1):15–29. doi: 10.1016/0022-5193(70)90061-5. [DOI] [PubMed] [Google Scholar]
  5. Mateles R. K., Ryu D. Y., Yasuda T. Measurement of unsteady state growth rates of micro-organisms. Nature. 1965 Oct 16;208(5007):263–265. doi: 10.1038/208263a0. [DOI] [PubMed] [Google Scholar]
  6. NOVICK A., SZILARD L. Experiments with the Chemostat on spontaneous mutations of bacteria. Proc Natl Acad Sci U S A. 1950 Dec;36(12):708–719. doi: 10.1073/pnas.36.12.708. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Winkler H. H. Efflux and the steady state in alpha-methylglucoside transport in Escherichia coli. J Bacteriol. 1971 May;106(2):362–368. doi: 10.1128/jb.106.2.362-368.1971. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Young T. B., Bruley D. F., Bungay H. R., 3rd A dynamic mathematical model of the chemostat. Biotechnol Bioeng. 1970 Sep;12(5):747–769. doi: 10.1002/bit.260120506. [DOI] [PubMed] [Google Scholar]

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