1992
DOI: 10.1007/bf00120324
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On fluctuation analysis: a new, simple and efficient method for computing the expected number of mutants

Abstract: Fluctuation analysis, which is often used to demonstrate random mutagenesis in cell lines (and to estimate mutation rates), is based on the properties of a probability distribution known as the Luria-Delbrück distribution (and its generalizations). The two main new results reported in this paper are (i) a simple, completely general, and computationally efficient procedure for calculating probability distributions arising from fluctuation analysis and (ii) the formula for this procedure when cells in a colony h… Show more

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Cited by 176 publications
(169 citation statements)
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“…Ninety-five percent confidence intervals were also calculated (Rosche and Foster 2000). Calculation of mutation rate was performed using the Ma-Sandri-Sarkar (MSS) method (Sarkar et al 1992) as described in Rosche and Foster (2000). We wrote a VB.net program (Table S1, K. Seier) that performs the recursive calculations necessary to determine the M value by the MSS.…”
Section: Methodsmentioning
confidence: 99%
“…Ninety-five percent confidence intervals were also calculated (Rosche and Foster 2000). Calculation of mutation rate was performed using the Ma-Sandri-Sarkar (MSS) method (Sarkar et al 1992) as described in Rosche and Foster (2000). We wrote a VB.net program (Table S1, K. Seier) that performs the recursive calculations necessary to determine the M value by the MSS.…”
Section: Methodsmentioning
confidence: 99%
“…The mutation rate is defined as the probability of a cell undergoing a mutation in its lifetime and expressed per microsatellite per cell per generation. We used two different approaches for estimating the mutation rate: (i) a method of the mean developed by Luria and Delbruck (7) and (ii) a maximumlikelihood method (8,9). The method of the mean is momentbased, whereby the mutation rate is estimated as a function of the sample mean of the number of mutants.…”
Section: Statistical Analysis and Estimation Of Mutation Ratementioning
confidence: 99%
“…The probability distribution of the number of mutants is nonstandard. The maximum-likelihood approach utilizes a recursive algorithm to compute this probability distribution and construct it as a function of the unknown mutation rate (9). The mutation rate was estimated from this function.…”
Section: Statistical Analysis and Estimation Of Mutation Ratementioning
confidence: 99%
“…The Ma-Sandri-Sarkar Maximum Likelihood (MSS-ML) method (Sarkar et al 1992), implemented in a custom-made program (Couce and Blázquez 2011), was used to yield an estimate of m = 1.19 3 10 27 and a 95% confidence interval of (1.85 3 10 27 -0.65 3 10 27 ). To characterize the genetic diversity within the glpT locus, two independent colonies per population were picked at random by proximity to arbitrary points.…”
Section: Experimental Systemmentioning
confidence: 99%