Exact Distributions for Stochastic Gene Expression Models with Bursting and Feedback

N. Kumar, Thierry Platini, R.V. Kulkarni

    Research output: Contribution to journalArticle

    45 Citations (Scopus)
    18 Downloads (Pure)

    Abstract

    Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play important roles in controlling noise in gene expression and phenotypic variation. A quantitative understanding of the impact of these factors requires analysis of the corresponding stochastic models. However, for stochastic models of gene expression with feedback and bursting, exact analytical results for protein distributions have not been obtained so far. Here, we analyze a model of gene expression with bursting and feedback regulation and obtain exact results for the corresponding protein steady-state distribution. The results obtained provide new insights into the role of bursting and feedback in noise regulation and optimization. Furthermore, for a specific choice of parameters, the system studied maps on to a two-state biochemical switch driven by a bursty input noise source. The analytical results derived provide quantitative insights into diverse cellular processes involving noise in gene expression and biochemical switching.
    Original languageEnglish
    JournalPhysical Review Letters
    Volume113
    Issue number26
    DOIs
    Publication statusPublished - Dec 2014

    Fingerprint

    gene expression
    proteins
    factor analysis
    switches
    optimization
    cells

    Bibliographical note

    Funded by NSF

    Keywords

    • Feedback
    • Gene expression regulation
    • Genes
    • Proteins
    • Stochastic models
    • Stochastic systems
    • Biochemical switches
    • Biochemical switching
    • Choice of parameters
    • Feedback regulation
    • Phenotypic variations
    • Protein distributions
    • Steady-state distributions
    • Stochastic gene expressions

    Cite this

    Exact Distributions for Stochastic Gene Expression Models with Bursting and Feedback. / Kumar, N.; Platini, Thierry; Kulkarni, R.V.

    In: Physical Review Letters, Vol. 113, No. 26, 12.2014.

    Research output: Contribution to journalArticle

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    abstract = "Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play important roles in controlling noise in gene expression and phenotypic variation. A quantitative understanding of the impact of these factors requires analysis of the corresponding stochastic models. However, for stochastic models of gene expression with feedback and bursting, exact analytical results for protein distributions have not been obtained so far. Here, we analyze a model of gene expression with bursting and feedback regulation and obtain exact results for the corresponding protein steady-state distribution. The results obtained provide new insights into the role of bursting and feedback in noise regulation and optimization. Furthermore, for a specific choice of parameters, the system studied maps on to a two-state biochemical switch driven by a bursty input noise source. The analytical results derived provide quantitative insights into diverse cellular processes involving noise in gene expression and biochemical switching.",
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    AU - Platini, Thierry

    AU - Kulkarni, R.V.

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    N2 - Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play important roles in controlling noise in gene expression and phenotypic variation. A quantitative understanding of the impact of these factors requires analysis of the corresponding stochastic models. However, for stochastic models of gene expression with feedback and bursting, exact analytical results for protein distributions have not been obtained so far. Here, we analyze a model of gene expression with bursting and feedback regulation and obtain exact results for the corresponding protein steady-state distribution. The results obtained provide new insights into the role of bursting and feedback in noise regulation and optimization. Furthermore, for a specific choice of parameters, the system studied maps on to a two-state biochemical switch driven by a bursty input noise source. The analytical results derived provide quantitative insights into diverse cellular processes involving noise in gene expression and biochemical switching.

    AB - Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play important roles in controlling noise in gene expression and phenotypic variation. A quantitative understanding of the impact of these factors requires analysis of the corresponding stochastic models. However, for stochastic models of gene expression with feedback and bursting, exact analytical results for protein distributions have not been obtained so far. Here, we analyze a model of gene expression with bursting and feedback regulation and obtain exact results for the corresponding protein steady-state distribution. The results obtained provide new insights into the role of bursting and feedback in noise regulation and optimization. Furthermore, for a specific choice of parameters, the system studied maps on to a two-state biochemical switch driven by a bursty input noise source. The analytical results derived provide quantitative insights into diverse cellular processes involving noise in gene expression and biochemical switching.

    KW - Feedback

    KW - Gene expression regulation

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    KW - Proteins

    KW - Stochastic models

    KW - Stochastic systems

    KW - Biochemical switches

    KW - Biochemical switching

    KW - Choice of parameters

    KW - Feedback regulation

    KW - Phenotypic variations

    KW - Protein distributions

    KW - Steady-state distributions

    KW - Stochastic gene expressions

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