Title
Bayesian inference of distributed time delay in transcriptional and translational regulation.
Abstract
Motivation: 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. Results: 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-death 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.
Year
DOI
Venue
2020
10.1093/bioinformatics/btz574
BIOINFORMATICS
Field
DocType
Volume
Small number,Bayesian inference,Markov chain Monte Carlo,Biology,Expression (mathematics),Algorithm,Robustness (computer science),Genetics
Journal
36
Issue
ISSN
Citations 
2
1367-4803
0
PageRank 
References 
Authors
0.34
0
7
Name
Order
Citations
PageRank
Boseung Choi100.68
Yu-Yu Cheng250.79
Selahattin Cinar300.34
William Ott411.06
Matthew R Bennett5256.03
Kresimir Josić6365.49
Jae Kyoung Kim793.80