Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.

Over the last few years, experimental data on the fluctuations in gene activity between individual cells and within the same cell over time have confirmed that gene expression is a "noisy" process. This variation is in part due to the small number of molecules taking part in some of the ke...

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Main Authors: Piers J Ingram, Michael P H Stumpf, Jaroslav Stark
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2008-10-01
Series:PLoS Computational Biology
Online Access:https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1000192&type=printable
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author Piers J Ingram
Michael P H Stumpf
Jaroslav Stark
author_facet Piers J Ingram
Michael P H Stumpf
Jaroslav Stark
author_sort Piers J Ingram
collection DOAJ
description Over the last few years, experimental data on the fluctuations in gene activity between individual cells and within the same cell over time have confirmed that gene expression is a "noisy" process. This variation is in part due to the small number of molecules taking part in some of the key reactions that are involved in gene expression. One of the consequences of this is that protein production often occurs in bursts, each due to a single promoter or transcription factor binding event. Recently, the distribution of the number of proteins produced in such bursts has been experimentally measured, offering a unique opportunity to study the relative importance of different sources of noise in gene expression. Here, we provide a derivation of the theoretical probability distribution of these bursts for a wide variety of different models of gene expression. We show that there is a good fit between our theoretical distribution and that obtained from two different published experimental datasets. We then prove that, irrespective of the details of the model, the burst size distribution is always geometric and hence determined by a single parameter. Many different combinations of the biochemical rates for the constituent reactions of both transcription and translation will therefore lead to the same experimentally observed burst size distribution. It is thus impossible to identify different sources of fluctuations purely from protein burst size data or to use such data to estimate all of the model parameters. We explore methods of inferring these values when additional types of experimental data are available.
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spelling doaj-art-3d918a933ed84e1ca74ac660af960da02025-08-20T03:22:37ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582008-10-01410e100019210.1371/journal.pcbi.1000192Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.Piers J IngramMichael P H StumpfJaroslav StarkOver the last few years, experimental data on the fluctuations in gene activity between individual cells and within the same cell over time have confirmed that gene expression is a "noisy" process. This variation is in part due to the small number of molecules taking part in some of the key reactions that are involved in gene expression. One of the consequences of this is that protein production often occurs in bursts, each due to a single promoter or transcription factor binding event. Recently, the distribution of the number of proteins produced in such bursts has been experimentally measured, offering a unique opportunity to study the relative importance of different sources of noise in gene expression. Here, we provide a derivation of the theoretical probability distribution of these bursts for a wide variety of different models of gene expression. We show that there is a good fit between our theoretical distribution and that obtained from two different published experimental datasets. We then prove that, irrespective of the details of the model, the burst size distribution is always geometric and hence determined by a single parameter. Many different combinations of the biochemical rates for the constituent reactions of both transcription and translation will therefore lead to the same experimentally observed burst size distribution. It is thus impossible to identify different sources of fluctuations purely from protein burst size data or to use such data to estimate all of the model parameters. We explore methods of inferring these values when additional types of experimental data are available.https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1000192&type=printable
spellingShingle Piers J Ingram
Michael P H Stumpf
Jaroslav Stark
Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.
PLoS Computational Biology
title Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.
title_full Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.
title_fullStr Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.
title_full_unstemmed Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.
title_short Nonidentifiability of the source of intrinsic noise in gene expression from single-burst data.
title_sort nonidentifiability of the source of intrinsic noise in gene expression from single burst data
url https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1000192&type=printable
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AT jaroslavstark nonidentifiabilityofthesourceofintrinsicnoiseingeneexpressionfromsingleburstdata