ArticleIEEE transactions on automatic control2008
Sensitivity Measures for Oscillating Systems: Application to Mammalian Circadian Gene Network.
Article in IEEE transactions on automatic control, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
23 citing papers in PubMed.
- Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation.SIAM journal on applied dynamical systems · 2021Article
- A dual-feedback loop model of the mammalian circadian clock for multi-input control of circadian phase.PLoS computational biology · 2020Article
- Data-driven spectral analysis for coordinative structures in periodic human locomotion.Scientific reports · 2019Article
- Compensating for Sensor Error in the Model Predictive Control of Circadian Clock Phase.IEEE control systems letters · 2019Article
- Hilbert transform-based time-series analysis of the circadian gene regulatory network.IET systems biology · 2019Article
- Pharmaceutical-based entrainment of circadian phase via nonlinear model predictive control.Automatica : the journal of IFAC, the International Federation of Automatic Control · 2019Article
- Time optimal entrainment control for circadian rhythm.PloS one · 2019Review
- Design principles for enhancing phase sensitivity and suppressing phase fluctuations simultaneously in biochemical oscillatory systems.Nature communications · 2018Article
- Nonlinear Model Predictive Control For Circadian Entrainment Using Small-Molecule Pharmaceuticals.IFAC-PapersOnLine · 2017Article
- A systems theoretic approach to analysis and control of mammalian circadian dynamics.Chemical engineering research & design : transactions of the Institution of Chemical Engineers · 2016Article
- Inhibitory and excitatory networks balance cell coupling in the suprachiasmatic nucleus: A modeling approach.Journal of theoretical biology · 2016Article
- Influence of parameter values on the oscillation sensitivities of two p53-Mdm2 models.Systems and synthetic biology · 2015Article
- Velocity response curves demonstrate the complexity of modeling entrainable clocks.Journal of theoretical biology · 2014Article
- Amplitude metrics for cellular circadian bioluminescence reporters.Biophysical journal · 2014Article
- An energy-optimal approach for entrainment of uncertain circadian oscillators.Biophysical journal · 2014Article
- Circadian clocks optimally adapt to sunlight for reliable synchronization.Journal of the Royal Society, Interface · 2014Article
- Systematic design methodology for robust genetic transistors based on I/O specifications via promoter-RBS libraries.BMC systems biology · 2013Article
- Does the precision of a biological clock depend upon its period? Effects of the duper and tau mutations in Syrian hamsters.PloS one · 2012Article
- Weakly circadian cells improve resynchrony.PLoS computational biology · 2012Article
- Robust entrainment of circadian oscillators requires specific phase response curves.Biophysical journal · 2011Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Vital physiological behaviors exhibited daily by bacteria, plants, and animals are governed by endogenous oscillators called circadian clocks. The most salient feature of the circadian clock is its ability to change its internal time (phase) to match that of the external environment. The circadian clock, like many oscillators in nature, is regulated at the cellular level by a complex network of interacting components. As a complementary approach to traditional biological investigation, we utilize mathematical models and systems theoretic tools to elucidate these mechanisms. The models are systems of ordinary differential equations exhibiting stable limit cycle behavior. To study the robustness of circadian phase behavior, we use sensitivity analysis. As the standard set of sensitivity tools are not suitable for the study of phase behavior, we introduce a novel tool, the parametric impulse phase response curve (pIPRC).
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.