ArticleBiophysical journal2014
Stochastic oscillations induced by intrinsic fluctuations in a self-repressing gene.
Article in Biophysical journal, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Single-cell transcriptional dynamics in a living vertebrate.Cell systems · 2026Article
- Quantitative control of noise in mammalian gene expression by dynamic histone regulation.eLife · 2021Article
- Oscillations in well-mixed, deterministic feedback systems: Beyond ring oscillators.Journal of theoretical biology · 2019Article
- Optimization-based synthesis of stochastic biocircuits with statistical specifications.Journal of the Royal Society, Interface · 2018Article
- Graph-facilitated resonant mode counting in stochastic interaction networks.Journal of the Royal Society, Interface · 2017Article
- Promoters Architecture-Based Mechanism for Noise-Induced Oscillations in a Single-Gene Circuit.PloS one · 2016Article
- Mean field analysis of a spatial stochastic model of a gene regulatory network.Journal of mathematical biology · 2015Article
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Authors and funding
3 authors.
Funding
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Abstract
Biochemical reaction networks are subjected to large fluctuations attributable to small molecule numbers, yet underlie reliable biological functions. Thus, it is important to understand how regularity can emerge from noise. Here, we study the stochastic dynamics of a self-repressing gene with arbitrarily long or short response time. We find that when the mRNA and protein half-lives are approximately equal to the gene response time, fluctuations can induce relatively regular oscillations in the protein concentration. To gain insight into this phenomenon at the crossroads of determinism and stochasticity, we use an intermediate theoretical approach, based on a moment-closure approximation of the master equation, which allows us to take into account the binary character of gene activity. We thereby obtain differential equations that describe how nonlinearity can feed-back fluctuations into the mean-field equations to trigger oscillations. Finally, our results suggest that the self-repressing Hes1 gene circuit exploits this phenomenon to generate robust oscillations, inasmuch as its time constants satisfy precisely the conditions we have identified.
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