A fixed-point algorithm for estimating amplification efficiency from a polymerase chain reaction dilution series

Michael Jones, George Mayne, Tingting Wang, David Watson, Damian Hussey

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    8 Citations (Scopus)


    Background: The polymerase chain reaction amplifies and quantifies small amounts of DNA. It is a cyclic process, during each cycle of which each strand of template DNA is copied with probability approaching one: the amount of DNA approximately doubles and this amount can be estimated fluorimetrically each cycle, producing a set of fluorescence values hereafter referred to as the amplification curve. Commonly the biological question of relevance is one of the ratio of DNA concentrations in two samples: a ratio that is deduced by comparing the two amplification curves, usually by way of a plot of fluorescence against cycle number. Central to this analysis is measuring the extent to which one amplification curve is shifted relative to the other, a measurement often accomplished by defining a threshold or quantification cycle, for each curve: the fractional cycle number at which fluorescence reaches some threshold or at which some other criterion (maximum slope, maximum rate of change of slope) is satisfied. Results: We consider the analysis of dilution series constructed for the estimation of qPCR amplification efficiency. The estimate of amplification efficiency is based on the slope of the regression line when the is plotted against the logarithm of dilution. We compare the approach to three commonly used methods for determining ; each is applied to publicly accessible calibration data sets, and to ten from our own laboratory. As in the established literature we judge their relative merits both from the standard deviation of the slope of the calibration curve, and from the variance in for replicate fluorescence curves. Conclusions: The approach does not require modification of experimental protocols, and can be applied retrospectively to existing data. We recommend that it be added to the methodological toolkit with which laboratories interpret their real-time PCR data.

    Original languageEnglish
    Article number372
    Pages (from-to)Art 372
    JournalBMC Bioinformatics
    Issue number1
    Publication statusPublished - 10 Dec 2014


    • Amplification efficiency
    • Fixed-point
    • qPCR


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