Journal
JOURNAL OF THE ROYAL SOCIETY INTERFACE
Volume 15, Issue 142, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rsif.2018.0157
Keywords
oscillations; repressilator; degradation rates; dynamical systems; gene regulatory networks
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Funding
- Wellcome Trust [WT098325MA]
- UCL
- Wellcome Trust [098325/Z/12/Z] Funding Source: Wellcome Trust
- Wellcome Trust [098325/Z/12/Z] Funding Source: researchfish
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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 ismaximized 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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