ArticleScientific reports2015
Robustness and period sensitivity analysis of minimal models for biochemical oscillators.
Article in Scientific reports, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Bayesian Model Calibration and Sensitivity Analysis for Oscillating Biological Experiments.Technometrics : a journal of statistics for the physical, chemical, and engineering sciences · 2025Article
- Systematic analysis of negative and positive feedback loops for robustness and temperature compensation in circadian rhythms.NPJ systems biology and applications · 2023Article
- Coupling protocol of interlocked feedback oscillators in circadian clocks.Journal of the Royal Society, Interface · 2020Article
- Conservation and Divergence of p53 Oscillation Dynamics across Species.Cell systems · 2017Article
- A novel interaction perturbation analysis reveals a comprehensive regulatory principle underlying various biochemical oscillators.BMC systems biology · 2017Article
- Feedback, Mass Conservation and Reaction Kinetics Impact the Robustness of Cellular Oscillations.PLoS computational biology · 2016Article
- Protein sequestration versus Hill-type repression in circadian clock models.IET systems biology · 2016Review
Corrections and comments
- Erratum issued
Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Biological systems exhibit numerous oscillatory behaviors from calcium oscillations to circadian rhythms that recur daily. These autonomous oscillators contain complex feedbacks with nonlinear dynamics that enable spontaneous oscillations. The detailed nonlinear dynamics of such systems remains largely unknown. In this paper, we investigate robustness and dynamical differences of five minimal systems that may underlie fundamental molecular processes in biological oscillatory systems. Bifurcation analyses of these five models demonstrate an increase of oscillatory domains with a positive feedback mechanism that incorporates a reversible reaction, and dramatic changes in dynamics with small modifications in the wiring. Furthermore, our parameter sensitivity analysis and stochastic simulations reveal different rankings of hierarchy of period robustness that are determined by the number of sensitive parameters or network topology. In addition, systems with autocatalytic positive feedback loop are shown to be more robust than those with positive feedback via inhibitory degradation regardless of noise type. We demonstrate that robustness has to be comprehensively assessed with both parameter sensitivity analysis and stochastic simulations.
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Registered trials
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