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On the statistical distribution of mutant bacteria

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Abstract

A problem in probability is stated with included the problem of the distribution of bacterial mutants as a special case. This problem is solved exactly but since the resulting expressions are too complicated for practical use, various approximate expressions for the distribution are considered, especially for the bacterial mutation case.

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Literature

  • Armitage, P. 1952. “The Statistical Theory of Bacterial Populations Subject to Mutation.”Jour. Royal Stat. Soc. (B),14, 1–33.

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  • Lea, D. E. and C. A. Coulson. 1949. “The Distribution of the Numbers of Mutants in Bacterial Populations.”Jour. Genetics,49, 264–85.

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  • Luria, S. E. and M. Delbrück. 1943. “Mutations of Bacteria from Virus Sensitivity to Virus Resistance.”Genetics,28, 491–511.

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  • Tricomi, F. G. 1952a. “Un problema di statistica matematica sorto dalla batteriologia.”Giorn. Instituto Ital. Attuari,15, 25–39.

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  • — 1952b. “A New Entire Function Related to a Well-known Noncontinuable Power Series.”Communications Pure Appl. Math.,5, 213–22.

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Authors and Affiliations

  1. University of Turin, Turin, Italy

    Francesco G. Tricomi

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  1. Francesco G. Tricomi
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Additional information

Research sponsored by the Office of Naval Research while the author was at the California Institute of Technology.

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Tricomi, F.G. On the statistical distribution of mutant bacteria. Bulletin of Mathematical Biophysics 15, 277–292 (1953). https://doi.org/10.1007/BF02476404

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  • DOI: https://doi.org/10.1007/BF02476404

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