ArticleJournal of the Royal Society, Interface2018
Degradation rate uniformity determines success of oscillations in repressive feedback regulatory networks.
Article in Journal of the Royal Society, Interface, 2018. 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.
- From genes to patterns: five key dynamical systems concepts to decode developmental regulatory mechanisms.Development (Cambridge, England) · 2025Review
- Dynamical modules in metabolism, cell and developmental biology.Interface focus · 2021Article
- Tractable nonlinear memory functions as a tool to capture and explain dynamical behaviors.Physical review research · 2020Article
- Oscillations in well-mixed, deterministic feedback systems: Beyond ring oscillators.Journal of theoretical biology · 2019Article
- Article
- Revisiting a synthetic intracellular regulatory network that exhibits oscillations.Journal of mathematical biology · 2019Article
- Comparison between Effects of Retroactivity and Resource Competition upon Change in Downstream Reporter Genes of Synthetic Genetic Circuits.Life (Basel, Switzerland) · 2019Article
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Authors and funding
2 authors.
Funding
Abstract
Ring oscillators are biochemical circuits consisting of a ring of interactions capable of sustained oscillations. The nonlinear interactions between genes hinder the analytical insight into their function, usually requiring computational exploration. Here, we show that, despite the apparent complexity, the stability of the unique steady state in an incoherent feedback ring depends only on the degradation rates and a single parameter summarizing the feedback of the circuit. Concretely, we show that the range of regulatory parameters that yield oscillatory behaviour is maximized when the degradation rates are equal. Strikingly, this result holds independently of the regulatory functions used or number of genes. We also derive properties of the oscillations as a function of the degradation rates and number of nodes forming the ring. Finally, we explore the role of mRNA dynamics by applying the generic results to the specific case with two naturally different degradation timescales.
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