Open Access

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

  • Yohei Sasagawa1, 7,
  • Itoshi Nikaido1, 7,
  • Tetsutaro Hayashi2,
  • Hiroki Danno3,
  • Kenichiro D Uno1,
  • Takeshi Imai4, 5 and
  • Hiroki R. Ueda1, 3, 6Email author
Contributed equally
Genome Biology201718:9

https://doi.org/10.1186/s13059-017-1154-x

Received: 12 January 2017

Accepted: 12 January 2017

Published: 18 January 2017

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)

Notes

Declarations

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

Authors’ Affiliations

(1)
Functional Genomics Unit, RIKEN Center for Developmental Biology
(2)
Genome Resource and Analysis Unit, RIKEN Center for Developmental Biology
(3)
Laboratory for Systems biology, RIKEN Center for Developmental Biology
(4)
Laboratory for Sensory Circuit Formation, RIKEN Center for Developmental Biology
(5)
JST, PRESTO
(6)
Laboratory for Synthetic Biology, Quantitative Biology Center, RIKEN
(7)
Bioinformatics Research Unit, Advanced Center for Computing and Communication

Reference

  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.View ArticlePubMedPubMed CentralGoogle Scholar

Copyright

© The Author(s). 2017

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