1887

Abstract

SUMMARY: The relations between growth rate, generation time distribution and age distribution in growing bacterial cultures are derived. The effect of inheritance on generation time is probably negligible. Some applications to experimental data exemplify the mathematical results. The validity of the principal assumptions is discussed.

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/content/journal/micro/10.1099/00221287-15-3-492
1956-12-01
2021-08-04
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References

  1. Bowker A. M. 1948; A test for symmetry in contingency tables. J. Amer. statist. Ass 43:572
    [Google Scholar]
  2. Bryson V., Szybalski W. 1952; Microbial selection. Science 116:45
    [Google Scholar]
  3. Dagley S., Hinshelwood C. N. 1938; Physico-chemical aspects of bacterial growth.Part I. Dependence of growth of Bact. lactisaerogenes on concentration of medium. J. chem. Soc p. 1930
    [Google Scholar]
  4. Feeler W. 1950 Probability Theory and its Applications New York: John Wiley and Sons;
    [Google Scholar]
  5. Harris T. E. 1951; Some mathematical models for branching processes. Proc. Second Berkeley Symposium on Mathematical Statistics and Probability p. 305
    [Google Scholar]
  6. Herbert D., Elsworth R., Telling R. C. 1956; The continuous culture of bacteria: a theoretical and experimental study. J. gen. Microbiol 14:601
    [Google Scholar]
  7. Hughes W. H. 1955; The inheritance of differences in growth rate in Escherichia coli. J. gen. Microbiol 12:265
    [Google Scholar]
  8. Johnson N. L. 1949; Bivariate distributions based on simple translation systems. Biometrika 36:297
    [Google Scholar]
  9. Kendall D. G. 1948; On the role of variable generation time in the development of a stochastic birth process. Biometrika 35:316
    [Google Scholar]
  10. Kendall D. G. 1952; On the choice of a mathematical model to represent normal bacterial growth. J. R. statist. Soc. B 14:41
    [Google Scholar]
  11. Monod J. 1942 Recherches sur la croissance des cultures bactériennes Paris: Hermann et Cie;
    [Google Scholar]
  12. Monod J. 1950; La technique de culture continue, théorieet applications. Ann. Inst. Pasteur 79:390
    [Google Scholar]
  13. Narumi S. 1923a; On the general forms of bivariate frequency distributions which are mathematically possible when regression and variation are subjected to limiting conditions. Part I. Biometrika 15:77
    [Google Scholar]
  14. Narumi S. 1923b; On the general forms of bivariate frequency distributions which are mathematically possible when regression and variation are subjected to limiting conditions. Part II. Biometrika 15:209
    [Google Scholar]
  15. Novick A. 1955; Growth of bacteria. Annu. Rev. Microbiol 9:97
    [Google Scholar]
  16. Novick A., Szilard L. 1950; Description of the chemostat. Science 112:715
    [Google Scholar]
  17. Pearson E. S., Hartley H. O. 1954 Biometrika Tables for Statisticians I Cambridge University Press;
    [Google Scholar]
  18. Powell E. O. 1955; Some features of the generation times of individual bacteria. Biometrika 42:16
    [Google Scholar]
  19. Powell E. O. 1956a; A rapid method for determining the proportion of viable bacteria in a culture. J. gen. Microbiol 14:153
    [Google Scholar]
  20. Powell E. O. 1956b; The pattern of bacterial generation times. Biometrika 43: In the Press
    [Google Scholar]
  21. Rahn O. 1932; A chemical explanation of the variability of the growth rate. J. gen. Physiol 15:257
    [Google Scholar]
  22. Topley & Wilson’s Principles of Bacteriology and Immunity 1955, 4th edition. Wilson G. S., Miles A. A. ed. by London: Edward Arnold;
  23. Whittaker E. T., Watson G. N. 1940 Modern Analysis, 4th ed. Cambridge University Press;
    [Google Scholar]
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