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. 1985 Apr;49(4):870–873. doi: 10.1128/aem.49.4.870-873.1985

Formation of bacterial colonies in successive time intervals.

S Ishikuri, T Hattori
PMCID: PMC238461  PMID: 4004219

Abstract

By enumerating colonies on a plate in successive equal short intervals of time, we found that the number of colonies formed in individual intervals varied at random and their distribution was approximated by a Poisson series. Based on the result, we derived the equation of colony formation (CF equation). This equation describes the relationship between the cumulative number of colonies and incubation time: N(t) = N infinity (1 - exp[-lambda(t - tr)]) where N(t) is the number of colonies at time t. N infinity, lambda, and tr are parameters, expressing the expected number of colonies on a plate at infinite incubation time, the probability of the occurrence of colony formation in a unit of time, and a retardation time, respectively.

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Selected References

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  1. Wilson E. B., Hilferty M. M. The Distribution of Chi-Square. Proc Natl Acad Sci U S A. 1931 Dec;17(12):684–688. doi: 10.1073/pnas.17.12.684. [DOI] [PMC free article] [PubMed] [Google Scholar]

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