{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T20:34:57Z","timestamp":1772138097346,"version":"3.50.1"},"reference-count":57,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2019,7,26]],"date-time":"2019-07-26T00:00:00Z","timestamp":1564099200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["RO1 GM117138"],"award-info":[{"award-number":["RO1 GM117138"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS 1662305"],"award-info":[{"award-number":["DMS 1662305"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS 1662290"],"award-info":[{"award-number":["DMS 1662290"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS 1816315"],"award-info":[{"award-number":["DMS 1816315"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Korea University Grant"},{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["NRF-2017R1D1A3B03031008"],"award-info":[{"award-number":["NRF-2017R1D1A3B03031008"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["NRF-2016 RICIB 3008468"],"award-info":[{"award-number":["NRF-2016 RICIB 3008468"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"name":"EWon fellowship"},{"DOI":"10.13039\/100000928","name":"Welch Foundation","doi-asserted-by":"publisher","award":["C-1729"],"award-info":[{"award-number":["C-1729"]}],"id":[{"id":"10.13039\/100000928","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000002","name":"NIH","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,1,15]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:sec>\n                    <jats:title>Motivation<\/jats:title>\n                    <jats:p>Advances in experimental and imaging techniques have allowed for unprecedented insights into the dynamical processes within individual cells. However, many facets of intracellular dynamics remain hidden, or can be measured only indirectly. This makes it challenging to reconstruct the regulatory networks that govern the biochemical processes underlying various cell functions. Current estimation techniques for inferring reaction rates frequently rely on marginalization over unobserved processes and states. Even in simple systems this approach can be computationally challenging, and can lead to large uncertainties and lack of robustness in parameter estimates. Therefore we will require alternative approaches to efficiently uncover the interactions in complex biochemical networks.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Results<\/jats:title>\n                    <jats:p>We propose a Bayesian inference framework based on replacing uninteresting or unobserved reactions with time delays. Although the resulting models are non-Markovian, recent results on stochastic systems with random delays allow us to rigorously obtain expressions for the likelihoods of model parameters. In turn, this allows us to extend MCMC methods to efficiently estimate reaction rates, and delay distribution parameters, from single-cell assays. We illustrate the advantages, and potential pitfalls, of the approach using a birth\u2013death model with both synthetic and experimental data, and show that we can robustly infer model parameters using a relatively small number of measurements. We demonstrate how to do so even when only the relative molecule count within the cell is measured, as in the case of fluorescence microscopy.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Availability and implementation<\/jats:title>\n                    <jats:p>Accompanying code in R is available at https:\/\/github.com\/cbskust\/DDE_BD.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Supplementary information<\/jats:title>\n                    <jats:p>Supplementary data are available at Bioinformatics online.<\/jats:p>\n                  <\/jats:sec>","DOI":"10.1093\/bioinformatics\/btz574","type":"journal-article","created":{"date-parts":[[2019,7,24]],"date-time":"2019-07-24T07:27:00Z","timestamp":1563953220000},"page":"586-593","source":"Crossref","is-referenced-by-count":32,"title":["Bayesian inference of distributed time delay in transcriptional and translational regulation"],"prefix":"10.1093","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7512-118X","authenticated-orcid":false,"given":"Boseung","family":"Choi","sequence":"first","affiliation":[{"name":"Department of National Statistics, Korea University Sejong Campus , Sejong 30019, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu-Yu","family":"Cheng","sequence":"additional","affiliation":[{"name":"Department of Biochemistry, University of Wisconsin-Madison , Madison, WI 53706, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Selahattin","family":"Cinar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Houston , Houston, TX 77204, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7119-491X","authenticated-orcid":false,"given":"William","family":"Ott","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Houston , Houston, TX 77204, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matthew R","family":"Bennett","sequence":"additional","affiliation":[{"name":"Department of Biosciences, Rice University , Houston, TX 77005, USA"},{"name":"Department of Bioengineering, Rice University , Houston, TX 77005, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kre\u0161imir","family":"Josi\u0107","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Houston , Houston, TX 77204, USA"},{"name":"Department of Biosciences, Rice University , Houston, TX 77005, USA"},{"name":"Department of Biology and Biochemistry, University of Houston , Houston, TX 77204, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7842-2172","authenticated-orcid":false,"given":"Jae Kyoung","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology , Daejeon 34141, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2019,7,26]]},"reference":[{"key":"2023020108351698800_btz574-B1","doi-asserted-by":"crossref","first-page":"2240","DOI":"10.1128\/AEM.64.6.2240-2246.1998","article-title":"New unstable variants of green fluorescent protein for studies of transient gene expression in bacteria","volume":"64","author":"Andersen","year":"1998","journal-title":"Appl. Environ. Microbiol"},{"key":"2023020108351698800_btz574-B2","doi-asserted-by":"crossref","DOI":"10.1063\/1.2899331","article-title":"A modified next reaction method for simulating chemical systems with time dependent propensities and delays (vol 127, art no 214107, 2007)","volume":"128","author":"Anderson","year":"2008","journal-title":"J. Chem. Phys"},{"key":"2023020108351698800_btz574-B3","doi-asserted-by":"crossref","first-page":"608.","DOI":"10.1038\/nature04194","article-title":"Gene network shaping of inherent noise spectra","volume":"439","author":"Austin","year":"2006","journal-title":"Nature"},{"key":"2023020108351698800_btz574-B4","doi-asserted-by":"crossref","first-page":"e117.","DOI":"10.1371\/journal.pcbi.0020117","article-title":"Oscillatory regulation of hes1: discrete stochastic delay modelling and simulation","volume":"2","author":"Barrio","year":"2006","journal-title":"PLoS Comput. Biol"},{"key":"2023020108351698800_btz574-B5","doi-asserted-by":"crossref","first-page":"104114.","DOI":"10.1063\/1.4793982","article-title":"Reduction of chemical reaction networks through delay distributions","volume":"138","author":"Barrio","year":"2013","journal-title":"J. Chem. Phys"},{"key":"2023020108351698800_btz574-B6","doi-asserted-by":"crossref","first-page":"016003.","DOI":"10.1088\/1478-3975\/7\/1\/016003","article-title":"The simplicity of completion time distributions for common complex biochemical processes","volume":"7","author":"Bel","year":"2009","journal-title":"Phys. Biol"},{"key":"2023020108351698800_btz574-B7","doi-asserted-by":"crossref","first-page":"1586","DOI":"10.1093\/bioinformatics\/btv759","article-title":"Piecewise parameter estimation for stochastic models in COPASI","volume":"32","author":"Bergmann","year":"2016","journal-title":"Bioinformatics"},{"key":"2023020108351698800_btz574-B8","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1214\/12-STS406","article-title":"A comparative review of dimension reduction methods in approximate Bayesian computation","volume":"28","author":"Blum","year":"2013","journal-title":"Stat. Sci"},{"key":"2023020108351698800_btz574-B9","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/s11222-007-9043-x","article-title":"Bayesian inference for a discretely observed stochastic kinetic model","volume":"18","author":"Boys","year":"2008","journal-title":"Stat. Comput"},{"key":"2023020108351698800_btz574-B10","article-title":"Generating functionals and Gaussian approximations for interruptible delay reactions","volume":"92","author":"Brett","year":"2015","journal-title":"Phys. Rev. E Stat. Nonlinear Soft Matter Phys"},{"key":"2023020108351698800_btz574-B11","doi-asserted-by":"crossref","first-page":"250601.","DOI":"10.1103\/PhysRevLett.110.250601","article-title":"Stochastic processes with distributed delays: chemical Langevin equation and linear noise approximation","volume":"110","author":"Brett","year":"2013","journal-title":"Phys. Rev. Lett"},{"key":"2023020108351698800_btz574-B12","doi-asserted-by":"crossref","first-page":"358.","DOI":"10.1038\/nature04599","article-title":"Stochastic protein expression in individual cells at the single molecule level","volume":"440","author":"Cai","year":"2006","journal-title":"Nature"},{"key":"2023020108351698800_btz574-B13","doi-asserted-by":"crossref","first-page":"124108.","DOI":"10.1063\/1.2710253","article-title":"Exact stochastic simulation of coupled chemical reactions with delays","volume":"126","author":"Cai","year":"2007","journal-title":"J. Chem. Phys"},{"key":"2023020108351698800_btz574-B14","doi-asserted-by":"crossref","first-page":"1380","DOI":"10.1093\/bioinformatics\/bty782","article-title":"Filtering and inference for stochastic oscillators with distributed delays","volume":"35","author":"Calderazzo","year":"2019","journal-title":"Bioinformatics"},{"key":"2023020108351698800_btz574-B15","doi-asserted-by":"crossref","first-page":"986","DOI":"10.1126\/science.aaa3794","article-title":"Emergent genetic oscillations in a synthetic microbial consortium","volume":"349","author":"Chen","year":"2015","journal-title":"Science"},{"key":"2023020108351698800_btz574-B16","doi-asserted-by":"crossref","first-page":"1996","DOI":"10.1021\/acssynbio.7b00118","article-title":"The timing of transcriptional regulation in synthetic gene circuits","volume":"6","author":"Cheng","year":"2017","journal-title":"ACS Synthetic Biol"},{"key":"2023020108351698800_btz574-B17","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1093\/biostatistics\/kxr019","article-title":"Inference for discretely observed stochastic kinetic networks with applications to epidemic modeling","volume":"13","author":"Choi","year":"2012","journal-title":"Biostatistics"},{"key":"2023020108351698800_btz574-B18","doi-asserted-by":"crossref","first-page":"17018.","DOI":"10.1038\/s41598-017-17072-z","article-title":"Beyond the Michaelis-Menten equation: accurate and efficient estimation of enzyme kinetic parameters","volume":"7","author":"Choi","year":"2017","journal-title":"Sci. Rep"},{"key":"2023020108351698800_btz574-B19","doi-asserted-by":"crossref","first-page":"68.","DOI":"10.1186\/1471-2105-13-68","article-title":"Accelerated maximum likelihood parameter estimation for stochastic biochemical systems","volume":"13","author":"Daigle","year":"2012","journal-title":"BMC Bioinformatics"},{"key":"2023020108351698800_btz574-B20","doi-asserted-by":"crossref","first-page":"1428","DOI":"10.1093\/bioinformatics\/btv007","article-title":"Inferring single-cell gene expression mechanisms using stochastic simulation","volume":"31","author":"Daigle","year":"2015","journal-title":"Bioinformatics"},{"key":"2023020108351698800_btz574-B21","doi-asserted-by":"crossref","first-page":"762.","DOI":"10.1038\/nphys3741","article-title":"Self-driven jamming in growing microbial populations","volume":"12","author":"Delarue","year":"2016","journal-title":"Nat. Phys"},{"key":"2023020108351698800_btz574-B22","doi-asserted-by":"crossref","first-page":"e89532.","DOI":"10.1371\/journal.pone.0089532","article-title":"Single cell kinetics of phenotypic switching in the arabinose utilization system of E. coli","volume":"9","author":"Fritz","year":"2014","journal-title":"PLoS One"},{"key":"2023020108351698800_btz574-B23","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1016\/j.cell.2005.09.031","article-title":"Real-time kinetics of gene activity in individual bacteria","volume":"123","author":"Golding","year":"2005","journal-title":"Cell"},{"key":"2023020108351698800_btz574-B24","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1111\/j.1541-0420.2005.00345.x","article-title":"Bayesian inference for stochastic kinetic models using a diffusion approximation","volume":"61","author":"Golightly","year":"2005","journal-title":"Biometrics"},{"key":"2023020108351698800_btz574-B25","doi-asserted-by":"crossref","first-page":"1734","DOI":"10.1137\/15M1040979","article-title":"The effects of time-varying temperature on delays in genetic networks","volume":"15","author":"Gomez","year":"2016","journal-title":"SIAM J. Appl. Dyn. Syst"},{"key":"2023020108351698800_btz574-B26","doi-asserted-by":"crossref","first-page":"1253","DOI":"10.1002\/aic.14409","article-title":"Comparison of parameter estimation methods in stochastic chemical kinetic models: examples in systems biology","volume":"60","author":"Gupta","year":"2014","journal-title":"AIChE J"},{"key":"2023020108351698800_btz574-B27","doi-asserted-by":"crossref","first-page":"204108","DOI":"10.1063\/1.4878662","article-title":"Modeling delay in genetic networks: from delay birth\u2013death processes to delay stochastic differential equations","volume":"140","author":"Gupta","year":"2014","journal-title":"J. Chem. Phys"},{"key":"2023020108351698800_btz574-B28","doi-asserted-by":"crossref","first-page":"2596","DOI":"10.1093\/bioinformatics\/btm367","article-title":"Bayesian inference for dynamic transcriptional regulation; the hes1 system as a case study","volume":"23","author":"Heron","year":"2007","journal-title":"Bioinformatics"},{"key":"2023020108351698800_btz574-B29","doi-asserted-by":"crossref","first-page":"972","DOI":"10.1073\/pnas.1316298111","article-title":"Engineered temperature compensation in a synthetic genetic clock","volume":"111","author":"Hussain","year":"2014","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"2023020108351698800_btz574-B30","volume-title":"Distributions in Statistics: Discrete Distributions V. 3","author":"Johnson","year":"1985"},{"key":"2023020108351698800_btz574-B31","doi-asserted-by":"crossref","first-page":"451.","DOI":"10.1038\/nrg1615","article-title":"Stochasticity in gene expression: from theories to phenotypes","volume":"6","author":"Kaern","year":"2005","journal-title":"Nat. Rev. Genet"},{"key":"2023020108351698800_btz574-B32","doi-asserted-by":"crossref","first-page":"3116","DOI":"10.1016\/S0006-3495(01)75949-8","article-title":"Stochasticity in transcriptional regulation: origins, consequences, and mathematical representations","volume":"81","author":"Kepler","year":"2001","journal-title":"Biophys. J"},{"key":"2023020108351698800_btz574-B33","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1016\/j.bpj.2014.06.012","article-title":"The validity of quasi-steady-state approximations in discrete stochastic simulations","volume":"107","author":"Kim","year":"2014","journal-title":"Biophys. J"},{"key":"2023020108351698800_btz574-B34","doi-asserted-by":"crossref","first-page":"e46835","DOI":"10.1371\/journal.pone.0046835","article-title":"The interplay of cis-regulatory elements rules circadian rhythms in mouse liver","volume":"7","author":"Koren\u010di\u010d","year":"2012","journal-title":"PLoS One"},{"key":"2023020108351698800_btz574-B35","doi-asserted-by":"crossref","first-page":"20140108.","DOI":"10.1098\/rsif.2014.0108","article-title":"Exact model reduction with delays: closed-form distributions and extensions to fully bi-directional monomolecular reactions","volume":"11","author":"Leier","year":"2014","journal-title":"J. R. Soc. Interface"},{"key":"2023020108351698800_btz574-B36","doi-asserted-by":"crossref","first-page":"1398","DOI":"10.1016\/S0960-9822(03)00534-7","article-title":"Autoinhibition with transcriptional delay: a simple mechanism for the zebrafish somitogenesis oscillator","volume":"13","author":"Lewis","year":"2003","journal-title":"Curr. Biol"},{"key":"2023020108351698800_btz574-B37","doi-asserted-by":"crossref","first-page":"068105.","DOI":"10.1103\/PhysRevLett.102.068105","article-title":"Delay-induced degrade-and-fire oscillations in small genetic circuits","volume":"102","author":"Mather","year":"2009","journal-title":"Phys. Rev. Lett"},{"key":"2023020108351698800_btz574-B38","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1126\/science.7624793","article-title":"Circuit simulation of genetic networks","volume":"269","author":"McAdams","year":"1995","journal-title":"Science"},{"key":"2023020108351698800_btz574-B39","doi-asserted-by":"crossref","first-page":"2103","DOI":"10.1529\/biophysj.107.127191","article-title":"Timing and dynamics of single cell gene expression in the arabinose utilization system","volume":"95","author":"Megerle","year":"2008","journal-title":"Biophys. J"},{"key":"2023020108351698800_btz574-B40","doi-asserted-by":"crossref","first-page":"1409","DOI":"10.1016\/S0960-9822(03)00494-9","article-title":"Oscillatory expression of hes1, p53, and nf-\u03bab driven by transcriptional time delays","volume":"13","author":"Monk","year":"2003","journal-title":"Curr. Biol"},{"key":"2023020108351698800_btz574-B41","doi-asserted-by":"crossref","first-page":"481.","DOI":"10.1038\/nature12804","article-title":"Memory and modularity in cell-fate decision making","volume":"503","author":"Norman","year":"2013","journal-title":"Nature"},{"key":"2023020108351698800_btz574-B42","doi-asserted-by":"crossref","first-page":"414.","DOI":"10.1186\/1471-2105-11-414","article-title":"Global parameter estimation methods for stochastic biochemical systems","volume":"11","author":"Poovathingal","year":"2010","journal-title":"BMC Bioinformatics"},{"key":"2023020108351698800_btz574-B43","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/j.cell.2008.09.050","article-title":"Nature, nurture, or chance: stochastic gene expression and its consequences","volume":"135","author":"Raj","year":"2008","journal-title":"Cell"},{"key":"2023020108351698800_btz574-B44","doi-asserted-by":"crossref","first-page":"1962","DOI":"10.1126\/science.1106914","article-title":"Gene regulation at the single-cell level","volume":"307","author":"Rosenfeld","year":"2005","journal-title":"Science"},{"key":"2023020108351698800_btz574-B45","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1529\/biophysj.105.073098","article-title":"A fluctuation method to quantify in vivo fluorescence data","volume":"91","author":"Rosenfeld","year":"2006","journal-title":"Biophys. J"},{"key":"2023020108351698800_btz574-B46","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1007\/s00285-008-0178-y","article-title":"A delay stochastic process with applications in molecular biology","volume":"57","author":"Schlicht","year":"2008","journal-title":"J. Math. Biol"},{"key":"2023020108351698800_btz574-B47","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1111\/j.2517-6161.1993.tb01466.x","article-title":"Bayesian computation via the Gibbs sampler and related Markov Chain Monte Carlo methods","volume":"55","author":"Smith","year":"1993","journal-title":"J. R. Stat. Soc. Ser. B (Methodological)"},{"key":"2023020108351698800_btz574-B48","doi-asserted-by":"crossref","first-page":"345.","DOI":"10.1038\/s41467-017-02710-x","article-title":"Single-cell variability in multicellular organisms","volume":"9","author":"Smith","year":"2018","journal-title":"Nat. Commun"},{"key":"2023020108351698800_btz574-B49","doi-asserted-by":"crossref","first-page":"516.","DOI":"10.1038\/nature07389","article-title":"A fast, robust and tunable synthetic gene oscillator","volume":"456","author":"Stricker","year":"2008","journal-title":"Nature"},{"key":"2023020108351698800_btz574-B50","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/j.cub.2014.12.009","article-title":"Cell-size control and homeostasis in bacteria","volume":"25","author":"Taheri-Araghi","year":"2015","journal-title":"Curr. Biol"},{"key":"2023020108351698800_btz574-B51","doi-asserted-by":"crossref","DOI":"10.1186\/1752-0509-6-39","article-title":"The slow-scale linear noise approximation: an accurate, reduced stochastic description of biochemical networks under timescale separation conditions","volume":"6","author":"Thomas","year":"2012","journal-title":"BMC Syst. Biol"},{"key":"2023020108351698800_btz574-B52","first-page":"1701","article-title":"Markov chains for exploring posterior distributions","volume":"22","author":"Tierney","year":"1994","journal-title":"Ann. Stat"},{"key":"2023020108351698800_btz574-B53","doi-asserted-by":"crossref","first-page":"15346","DOI":"10.1073\/pnas.0706805105","article-title":"Biomechanical ordering of dense cell populations","volume":"105","author":"Volfson","year":"2008","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"2023020108351698800_btz574-B54","doi-asserted-by":"crossref","DOI":"10.1201\/b11812","volume-title":"Stochastic Modelling for Systems Biology","author":"Wilkinson","year":"2011","edition":"2"},{"key":"2023020108351698800_btz574-B55","doi-asserted-by":"crossref","first-page":"1600","DOI":"10.1126\/science.1119623","article-title":"Probing gene expression in live cells, one protein molecule at a time","volume":"311","author":"Yu","year":"2006","journal-title":"Science"},{"key":"2023020108351698800_btz574-B56","doi-asserted-by":"crossref","first-page":"197.","DOI":"10.1038\/nmeth.2794","article-title":"Scalable inference of heterogeneous reaction kinetics from pooled single-cell recordings","volume":"11","author":"Zechner","year":"2014","journal-title":"Nat. Methods"},{"key":"2023020108351698800_btz574-B57","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1049\/iet-syb.2014.0010","article-title":"Exploiting intrinsic fluctuations to identify model parameters","volume":"9","author":"Zimmer","year":"2015","journal-title":"IET Syst. Biol"}],"container-title":["Bioinformatics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/academic.oup.com\/bioinformatics\/advance-article-pdf\/doi\/10.1093\/bioinformatics\/btz574\/29106855\/btz574.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/bioinformatics\/article-pdf\/36\/2\/586\/48991755\/btz574.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/bioinformatics\/article-pdf\/36\/2\/586\/48991755\/btz574.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,21]],"date-time":"2024-07-21T04:57:51Z","timestamp":1721537871000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/bioinformatics\/article\/36\/2\/586\/5538987"}},"subtitle":[],"editor":[{"given":"Alfonso","family":"Valencia","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2019,7,26]]},"references-count":57,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,1,15]]}},"URL":"https:\/\/doi.org\/10.1093\/bioinformatics\/btz574","relation":{"has-preprint":[{"id-type":"doi","id":"10.1101\/608596","asserted-by":"object"}]},"ISSN":["1367-4803","1367-4811"],"issn-type":[{"value":"1367-4803","type":"print"},{"value":"1367-4811","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2020,1,15]]},"published":{"date-parts":[[2019,7,26]]}}}