ArticleProceedings of the National Academy of Sciences of the United States of America2009
Nonparametric entrainment of the in vitro circadian phosphorylation rhythm of cyanobacterial KaiC by temperature cycle.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 37 papers.
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Who cites it
37 citing papers in PubMed, 82 citations in OpenAlex.
- KaiC-dependent circadian positioning of RNA polymerase and ribosome in cyanobacteria.iScience · 2026Article
- An underlying bistability sets amplitude and explains temperature compensation in the cyanobacterial circadian clock.bioRxiv : the preprint server for biology · 2026Article
- Evolutionary origins of self-sustained Kai protein circadian oscillators in cyanobacteria.Nature communications · 2025Article
- Self-sustained rhythmic behavior ofPNAS nexus · 2025Article
- Temperature compensation through kinetic regulation in biochemical oscillators.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Article
- Structure-function relationship of KaiC around dawn.Biophysics and physicobiology · 2024Article
- The circadian clock of the bacteriumScience advances · 2023Article
- Article
- Role of the reaction-structure coupling in temperature compensation of the KaiABC circadian rhythm.PLoS computational biology · 2022Article
- Entrainment Is NOT Synchronization: An Important Distinction and Its Implications.Journal of biological rhythms · 2021Article
- Mechanism of autonomous synchronization of the circadian KaiABC rhythm.Scientific reports · 2021Article
- Bayesian modeling reveals metabolite-dependent ultrasensitivity in the cyanobacterial circadian clock.Molecular systems biology · 2020Article
- Principles of rhythmicity emerging from cyanobacteria.The European journal of neuroscience · 2020Article
- Design principles for enhancing phase sensitivity and suppressing phase fluctuations simultaneously in biochemical oscillatory systems.Nature communications · 2018Article
- Single-molecular and ensemble-level oscillations of cyanobacterial circadian clock.Biophysics and physicobiology · 2018Article
- Period Robustness and Entrainability of the Kai System to Changing Nucleotide Concentrations.Biophysical journal · 2017Article
- Article
- Low temperature nullifies the circadian clock in cyanobacteria through Hopf bifurcation.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Conversion between two conformational states of KaiC is induced by ATP hydrolysis as a trigger for cyanobacterial circadian oscillation.Scientific reports · 2016Article
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Authors and funding
5 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The three cyanobacterial Kai proteins and ATP are capable of generating an autonomous rhythm of KaiC phosphorylation in a test tube. As the period is approximately 24 hours and is stable in a wide temperature range, this rhythm is thought to function as the basic oscillator of the cyanobacterial circadian system. We have examined the rhythm under various temperature cycles and found that it was stably entrained by a temperature cycle of 20-28 hours. As the period length was not altered by temperature, entrainment by period change could be excluded from possible mechanisms. Instead, temperature steps between 30 degrees and 45 degrees C and vice versa shifted the phase of the rhythm in a phase-dependent manner. Based on the phase response curves of the step-up and step-down in temperature, phase shift by single temperature pulse was estimated using a nonparametric entrainment model (discontinuous phase jump by external stimuli). The predicted phase shift was consistent with the experimentally measured phase shift. Next, successive phase shifts caused by repeated temperature cycles were computed by two phase response curves and compared with actual entrainment of the rhythm. As the entrainment pattern observed after various combinations of temperature cycles matched the prediction, it is likely that nonparametric entrainment functions even in the simple three-protein system. We also analyzed entrainment of KaiC phosphorylation by temperature cycle in cyanobacterial cells and found both the parametric and the nonparametric models function in vivo.
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