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Erratum to: Quartz-Seq: a highly reproducible and sensitive single-cell RNA sequencing method, reveals non-genetic gene-expression heterogeneity

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The original article was published in Genome Biology 2013 14:3097

Erratum

After publication of our article [1], we noticed some errors. In this manuscript, we amplified cDNA with 41.67 nmol/l RT primer and 70 nmol/l tagging primer for single-cell Quartz-Seq, and not pmol/l as originally stated. In addition, two mathematical expressions were inadvertently omitted.

Thus, in the section Whole-transcript amplification for single-cell Quartz-Seq, the following are correct:

Immediately after the second centrifugation, 0.8 μl of priming buffer (1.5× PCR buffer with MgCl2 (TaKaRa Bio), 41.67 nmol/l of the RT primer (HPLC-purified; Table 1), 4 U/μl of RNase inhibitor (RNasin Plus; Promega Corp., Madison, WI, USA), and 50 μmol/l dNTPs were added to each tube.

And

We then added 23 μl of the second-strand buffer (1.09× MightyAmp Buffer v2 (TaKaRa), 70 nmol/l tagging primer (HPLC-purified; Table 1), and 0.054 U/μl MightyAmp DNA polymerase (TaKaRa)) to each tube.

In the section Bioinformatics analysis, the equations should appear as follows:

The MI is considered the Kullback–Leibler distance from the joint probability density to the product of the marginal probability densities as follows:

$$ MI\left(X,Y\right)={E}_{f\left(x,y\right)}\left\{ \log \frac{f\left(x,y\right)}{f(x)f(y)}\right\} $$
(1)

The MI is always non-negative, symmetric, and equal to 0 only if × and Y are independent. The MI can be represented as a summation of entropies:

$$ MI\left(X,Y\right)=H(X)+H(Y)-H\left(X,Y\right) $$
(2)

Reference

  1. 1.

    Sasagawa Y, Nikaido I, Hayashi T, Danno H, Uno KD, Imai T, et al. Quartz-Seq: a highly reproducible and sensitive single-cell RNA sequencing method, reveals non-genetic gene-expression heterogeneity. Genome Biol. 2013;14:R31.

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Author information

Correspondence to Hiroki R. Ueda.

Additional information

The online version of the original article can be found under doi:10.1186/gb-2013-14-4-r31.

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