PMID- 30423089 OWN - NLM STAT- MEDLINE DCOM- 20190923 LR - 20220129 IS - 1367-4811 (Electronic) IS - 1367-4803 (Print) IS - 1367-4803 (Linking) VI - 34 IP - 17 DP - 2018 Sep 1 TI - Bayesian inference on stochastic gene transcription from flow cytometry data. PG - i647-i655 LID - 10.1093/bioinformatics/bty568 [doi] AB - MOTIVATION: Transcription in single cells is an inherently stochastic process as mRNA levels vary greatly between cells, even for genetically identical cells under the same experimental and environmental conditions. We present a stochastic two-state switch model for the population of mRNA molecules in single cells where genes stochastically alternate between a more active ON state and a less active OFF state. We prove that the stationary solution of such a model can be written as a mixture of a Poisson and a Poisson-beta probability distribution. This finding facilitates inference for single cell expression data, observed at a single time point, from flow cytometry experiments such as FACS or fluorescence in situ hybridization (FISH) as it allows one to sample directly from the equilibrium distribution of the mRNA population. We hence propose a Bayesian inferential methodology using a pseudo-marginal approach and a recent approximation to integrate over unobserved states associated with measurement error. RESULTS: We provide a general inferential framework which can be widely used to study transcription in single cells from the kind of data arising in flow cytometry experiments. The approach allows us to separate between the intrinsic stochasticity of the molecular dynamics and the measurement noise. The methodology is tested in simulation studies and results are obtained for experimental multiple single cell expression data from FISH flow cytometry experiments. AVAILABILITY AND IMPLEMENTATION: All analyses were implemented in R. Source code and the experimental data are available at https://github.com/SimoneTiberi/Bayesian-inference-on-stochastic-gene-transcription-from-flow-cytometry-data. SUPPLEMENTARY INFORMATION: Supplementary data are available at Bioinformatics online. FAU - Tiberi, Simone AU - Tiberi S AD - Institute of Molecular Life Sciences, University of Zurich, Zurich, Switzerland. AD - Swiss Institue of Bioinformatics, University of Zurich, Zurich, Switzerland. AD - Department of Statistics, University of Warwick, Coventry, UK. FAU - Walsh, Mark AU - Walsh M AD - School of Life Sciences, University of Warwick, Coventry, UK. FAU - Cavallaro, Massimo AU - Cavallaro M AD - Department of Statistics, University of Warwick, Coventry, UK. AD - School of Life Sciences, University of Warwick, Coventry, UK. FAU - Hebenstreit, Daniel AU - Hebenstreit D AD - School of Life Sciences, University of Warwick, Coventry, UK. FAU - Finkenstadt, Barbel AU - Finkenstadt B AD - Department of Statistics, University of Warwick, Coventry, UK. LA - eng GR - BB/M017982/1/BB_/Biotechnology and Biological Sciences Research Council/United Kingdom GR - BB/L006340/1/BB_/Biotechnology and Biological Sciences Research Council/United Kingdom GR - MR/M013170/1/MRC_/Medical Research Council/United Kingdom PT - Journal Article PT - Research Support, Non-U.S. Gov't PL - England TA - Bioinformatics JT - Bioinformatics (Oxford, England) JID - 9808944 SB - IM MH - *Bayes Theorem MH - Flow Cytometry MH - In Situ Hybridization, Fluorescence MH - Software MH - Stochastic Processes MH - *Transcription, Genetic PMC - PMC6129284 EDAT- 2018/11/14 06:00 MHDA- 2019/09/24 06:00 PMCR- 2018/09/08 CRDT- 2018/11/14 06:00 PHST- 2018/11/14 06:00 [entrez] PHST- 2018/11/14 06:00 [pubmed] PHST- 2019/09/24 06:00 [medline] PHST- 2018/09/08 00:00 [pmc-release] AID - 5093237 [pii] AID - bty568 [pii] AID - 10.1093/bioinformatics/bty568 [doi] PST - ppublish SO - Bioinformatics. 2018 Sep 1;34(17):i647-i655. doi: 10.1093/bioinformatics/bty568.