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      Gene Regulatory Network Inference from Single-Cell Data Using Multivariate Information Measures

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          Summary

          While single-cell gene expression experiments present new challenges for data processing, the cell-to-cell variability observed also reveals statistical relationships that can be used by information theory. Here, we use multivariate information theory to explore the statistical dependencies between triplets of genes in single-cell gene expression datasets. We develop PIDC, a fast, efficient algorithm that uses partial information decomposition (PID) to identify regulatory relationships between genes. We thoroughly evaluate the performance of our algorithm and demonstrate that the higher-order information captured by PIDC allows it to outperform pairwise mutual information-based algorithms when recovering true relationships present in simulated data. We also infer gene regulatory networks from three experimental single-cell datasets and illustrate how network context, choices made during analysis, and sources of variability affect network inference. PIDC tutorials and open-source software for estimating PID are available. PIDC should facilitate the identification of putative functional relationships and mechanistic hypotheses from single-cell transcriptomic data.

          Highlights

          • PIDC infers gene regulatory networks from single-cell transcriptomic data

          • Multivariate information measures and context in PIDC improve network inference

          • Heterogeneity in single-cell data carries information about gene-gene interactions

          • Fast, efficient, open-source software is made freely available

          Abstract

          Chan et al. develop PIDC, a fast, efficient algorithm that makes use of multivariate information theory, to reliably infer gene-gene interactions in heterogeneous, single-cell gene expression data and build gene regulatory networks.

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          Most cited references66

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          Accounting for technical noise in single-cell RNA-seq experiments.

          Single-cell RNA-seq can yield valuable insights about the variability within a population of seemingly homogeneous cells. We developed a quantitative statistical method to distinguish true biological variability from the high levels of technical noise in single-cell experiments. Our approach quantifies the statistical significance of observed cell-to-cell variability in expression strength on a gene-by-gene basis. We validate our approach using two independent data sets from Arabidopsis thaliana and Mus musculus.
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            Estimation of Entropy and Mutual Information

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              Resolution of cell fate decisions revealed by single-cell gene expression analysis from zygote to blastocyst.

              Three distinct cell types are present within the 64-cell stage mouse blastocyst. We have investigated cellular development up to this stage using single-cell expression analysis of more than 500 cells. The 48 genes analyzed were selected in part based on a whole-embryo analysis of more than 800 transcription factors. We show that in the morula, blastomeres coexpress transcription factors specific to different lineages, but by the 64-cell stage three cell types can be clearly distinguished according to their quantitative expression profiles. We identify Id2 and Sox2 as the earliest markers of outer and inner cells, respectively. This is followed by an inverse correlation in expression for the receptor-ligand pair Fgfr2/Fgf4 in the early inner cell mass. Position and signaling events appear to precede the maturation of the transcriptional program. These results illustrate the power of single-cell expression analysis to provide insight into developmental mechanisms. The technique should be widely applicable to other biological systems. Copyright 2010 Elsevier Inc. All rights reserved.
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                Author and article information

                Contributors
                Journal
                Cell Syst
                Cell Syst
                Cell Systems
                Cell Press
                2405-4712
                2405-4720
                27 September 2017
                27 September 2017
                : 5
                : 3
                : 251-267.e3
                Affiliations
                [1 ]Centre for Integrative Systems Biology and Bioinformatics, Department of Life Sciences, Imperial College London, London SW7 2AZ, UK
                [2 ]MRC London Institute of Medical Sciences, Hammersmith Campus, Imperial College London, London W12 0NN, UK
                Author notes
                []Corresponding author m.stumpf@ 123456imperial.ac.uk
                [∗∗ ]Corresponding author a.babtie@ 123456imperial.ac.uk
                [3]

                These authors contributed equally

                [4]

                Lead Contact

                Article
                S2405-4712(17)30386-1
                10.1016/j.cels.2017.08.014
                5624513
                28957658
                be6ef1e3-d566-40c9-af07-6f6701c4bc3f
                © 2017 The Authors. Published by Elsevier Inc.

                This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

                History
                : 10 October 2016
                : 26 April 2017
                : 24 August 2017
                Categories
                Article

                gene regulation,single-cell pcr,single-cell rna-seq,network reconstruction,mutual information

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