The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Transient power-law behaviour following induction distinguishes between competing models of stochastic gene expression
Open accessPreprint — published as 10.1038/s41467-025-58127-4
Abstract
What features of transcription can be learnt by fitting mathematical models of gene expression to mRNA count data? Given a suite of models, fitting to data selects an optimal one, thus identifying a probable transcriptional mechanism. Whilst attractive, the utility of this methodology remains unclear. Here, we sample steady-state, single-cell mRNA count distributions from parameters in the physiological range, and show they cannot be used to confidently estimate the number of inactive gene states, i.e. the number of rate-limiting steps in transcriptional initiation. Distributions from over 99% of the parameter space generated using models with 2, 3, or 4 inactive states can be well fit by one with a single inactive state. However, we show that for many minutes following induction, eukaryotic cells show an increase in the mean mRNA count that obeys a power law whose exponent equals the sum of the number of states visited from the initial inactive to the active state and the number of rate-limiting post-transcriptional processing steps. Our study shows that estimation of the exponent from eukaryotic data can be sufficient to determine a lower bound on the total number of regulatory steps in transcription initiation, splicing, and nuclear export.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Global quantification of mammalian gene expression control
Schwanhäusser, B., Busse, D., Li, N., Dittmar, G., Schuchhardt, J., Wolf, J., Chen, W., & Selbach, M. (2011) · Nature · doi:10.1038/nature10098 · Cited by 6,566
Flagged first, then by citations
Research works printed but not linked: 72
- 10.1038/nrm3952 · DOI
- 2019, 50+ years of eukaryotic transcription: an expanding universe of factors and mechanisms, Nature structural & molecular biology, 26, 783, 10.1038/s41594-019-0287-x · DOI
- 10.1038/nrm3953 · DOI · Paper page
- 10.1073/pnas.162041399 · DOI · Paper page
- 2017, What shapes eukaryotic transcriptional bursting?, Molecular BioSystems, 13, 1280, 10.1039/C7MB00154A · DOI
- 2020, What is a transcriptional burst?, Trends in Genetics, 36, 288, 10.1016/j.tig.2020.01.003 · DOI · Paper page
- 10.1016/S0960-9822(00)00071-3 · DOI
- B. P. Ingalls , Mathematical modeling in systems biology: an introduction (MIT press, 2013).
- 2005, Models of stochastic gene expression, Physics of life reviews, 2, 157, 10.1016/j.plrev.2005.03.003 · DOI
- 10.1126/science.1216379 · DOI · Paper page
- 10.1016/j.molcel.2015.01.027 · DOI
- 10.7554/elife.12175 · DOI
- 10.7554/eLife.82493 · DOI
- 10.1126/science.1231456 · DOI
- 2023, Gene expression model inference from snapshot rna data using bayesian non-parametrics, Nature Computational Science, 3, 174, 10.1038/s43588-022-00392-0 · DOI
- 10.1126/sciadv.adh5138 · DOI
- 10.1016/j.bpj.2012.02.001 · DOI
- 2023, Analytical time-dependent distributions for gene expression models with complex promoter switching mechanisms, SIAM Journal on Applied Mathematics, 83, 1572, 10.1137/22M147219X · DOI
- 2023, Steady-state distributions of nascent rna for general initiation mechanisms, Physical Review Research, 5, 013064, 10.1103/PhysRevResearch.5.013064 · DOI
- 10.1126/science.1198817 · DOI · Paper page
- 10.15252/msb.20156257 · DOI
- 10.1093/nar/gks583 · DOI
- 10.1006/tpbi.1995.1027 · DOI
- 2008, Single-rna counting reveals alternative modes of gene expression in yeast, Nature structural & molecular biology, 15, 1263, 10.1038/nsmb.1514 · DOI · Paper page
- 10.1038/s41586-018-0836-1 · DOI · Paper page
- 2014, Stochastic promoter activation affects nanog expression variability in mouse embryonic stem cells, Scientific reports, 4, 7125, 10.1038/srep07125 · DOI
- 10.1073/pnas.1213530109 · DOI
- 10.15252/embj.2018100809 · DOI
- 10.1371/journal.pbio.1000607 · DOI
- 10.1016/j.molcel.2018.11.004 · DOI
- 2016, A single-molecule view of transcription reveals convoys of rna polymerases and multi-scale bursting, Nature communications, 7, 12248, 10.1038/ncomms12248 · DOI
- 2021, Stochastic pausing at latent hiv-1 promoters generates transcriptional bursting, Nature communications, 12, 4503, 10.1038/s41467-021-24462-5 · DOI
- 2023, Burstdeconv: a signal deconvolution method to uncover mechanisms of transcriptional bursting in live cells, Nucleic Acids Research, 51, e88, 10.1093/nar/gkad629 · DOI
- 2020, Single-molecule fluorescence imaging in living saccharomyces cerevisiae cells, STAR protocols, 1, 100142, 10.1016/j.xpro.2020.100142 · DOI
- 2016, Single-molecule mrna detection in live yeast, Current protocols in molecular biology, 113, 14
- 10.1371/journal.pbio.0040309 · DOI · Paper page
- 10.1073/pnas.1804060115 · DOI
- 10.1016/j.bpj.2020.07.020 · DOI
- 2024, What can we learn when fitting a simple telegraph model to a complex gene expression model?, PLOS Computational Biology, 20, e1012118, 10.1371/journal.pcbi.1012118 · DOI · Paper page
- 10.1016/j.bpj.2023.10.021 · DOI
- 10.15252/msb.20199146 · DOI
- 10.1137/110852887 · DOI
- C. Villani et al., Optimal transport: old and new, Vol. 338 (Springer, 2009). · DOI
- 2019, Parameter estimation for biochemical reaction networks using wasserstein distances, Journal of Physics A: Mathematical and Theoretical, 53, 034002
- 10.1073/pnas.1910888117 · DOI
- 2015, Distribution modes and their corresponding parameter regions in stochastic gene transcription, SIAM Journal on Applied Mathematics, 75, 2396, 10.1137/151005567 · DOI
- 10.1073/pnas.1400049111 · DOI
- 10.1073/pnas.092538799 · DOI
- 10.1101/gr.912603 · DOI
- 10.1007/BF01023679 · DOI
- 10.1063/1.4824392 · DOI
- 2014, Stochastic kinetics on networks: when slow is fast, The Journal of Physical Chemistry B, 118, 10419, 10.1021/jp506668a · DOI
- 10.1063/1.4863997 · DOI
- 10.1126/sciadv.aaz4642 · DOI
- 10.7554/elife.69324 · DOI · Paper page
- A. T. Szczurek , E. Dimitrova , J. R. Kelley , N. P. Blackledge , and R. J. Klose , The polycomb system sustains promoters in a deep off state by limiting pre-initiation complex formation to counteract transcription, Nature Cell Biology, 1 (2024). · DOI
- 2021, Distinguishing between models of mammalian gene expression: telegraph-like models versus mechanistic models, Journal of the Royal Society Interface, 18, 20210510, 10.1098/rsif.2021.0510 · DOI · Paper page
- 10.1016/j.cell.2015.04.044 · DOI · Paper page
- 10.1073/pnas.1912459116 · DOI · Paper page
- 10.1016/j.molcel.2017.01.023 · DOI · Paper page
- 2014, Validation of noise models for single-cell transcriptomics, Nature methods, 11, 637, 10.1038/nmeth.2930 · DOI · Paper page
- 10.1039/c8lc01239c · DOI · Paper page
- 2019, Multiplex rna single molecule fish of inducible mrnas in single yeast cells, Scientific data, 6, 94, 10.1038/s41597-019-0106-6 · DOI
- 10.1038/msb.2010.112 · DOI
- 10.1073/pnas.1309990110 · DOI
- 2018, Linear mapping approximation of gene regulatory networks with stochastic dynamics, Nature communications, 9, 3305, 10.1038/s41467-018-05822-0 · DOI
- 2021, Coordination of gene expression noise with cell size: analytical results for agent-based models of growing cell populations, Journal of the Royal Society Interface, 18, 20210274, 10.1098/rsif.2021.0274 · DOI
- 10.1101/623371 · DOI
- 2022, Interpretable and tractable models of transcriptional noise for the rational design of single-molecule quantification experiments, Nature Communications, 13, 7620, 10.1038/s41467-022-34857-7 · DOI
- 10.1073/pnas.1201781109 · DOI
- 2012, To the pore and through the pore: a story of mrna export kinetics, Biochimica et Biophysica Acta (BBA)-Gene Regulatory Mechanisms, 1819, 494, 10.1016/j.bbagrm.2012.02.011 · DOI
- 2023, Assessing markovian and delay models for single-nucleus rna sequencing, Bulletin of Mathematical Biology, 85, 114, 10.1007/s11538-023-01213-9 · DOI
Metadata
- Authors
- Nicoll, A. G., Szavits-Nossan, J., Evans, M. R., & Grima, R.
- Affiliations
- University of Edinburgh (GB)
- Corresponding author
- Grima, Ramon
- Venue
- Nature Communications
- Publisher
- openRxiv
- Published
- 2023-12-30
- Volume
- 16
- Issue
- 1
- Pages
- 2833-2833
- ISSN
- 2041-1723 (ISSN-L)
- PMC
- PMC11929856
- OpenAlex
- W4408726337
- Cited by
- 13
- References
- 1
- Citations by year
- 2026: 6 · 2025: 6 · 2024: 1
- FWCI
- 3.58
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Nature Communications (publishedVersion, cc-by)
- bioRxiv (Cold Spring Harbor Laboratory) (acceptedVersion, cc-by-nc-nd)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- Leverhulme Trust (RPG-2020-327)
- Biotechnology and Biological Sciences Research Council
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Single-cell and spatial transcriptomics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Chromatin Dynamics
- Keywords
- stochastic gene expression, transcription initiation, model selection, rate-determining step, splicing, nuclear export, eukaryotic transcription, post-transcriptional processing
- MeSH terms
- Gene Expression Regulation, Humans, Models, Genetic, RNA, Messenger, Stochastic Processes, Transcription, Genetic, Single-Cell Analysis
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review