ArticleProceedings of the National Academy of Sciences of the United States of America2017
Low temperature nullifies the circadian clock in cyanobacteria through Hopf bifurcation.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2017. 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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37 citing papers in PubMed, 76 citations in OpenAlex.
- An underlying bistability sets amplitude and explains temperature compensation in the cyanobacterial circadian clock.bioRxiv : the preprint server for biology · 2026Article
- Circadian rhythms remain temperature compensated during a Q neuron-induced hibernation-like state in mice.PLoS biology · 2026Article
- Stochastic intracellular calcium dynamics show preserved structures identified by deep learning classification.PLoS computational biology · 2026Article
- Intrinsic period stability of the cyanobacterial circadian oscillator across in vitro and in vivo conditions.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Analysis of metabolic stability under environmental perturbations using a kinetic model.Biophysics and physicobiology · 2026Article
- Temperature compensation of the Arabidopsis circadian clock.Npj biological timing and sleep · 2025Review
- Low temperature abolishes human cellular circadian rhythm through Hopf bifurcation.NPJ systems biology and applications · 2025Article
- Coincidence of the threshold temperature of seasonal switching for diel transcriptomic oscillations and growth.Plant & cell physiology · 2025Article
- Sinusoidal regulation reduces circadian period variability.Scientific reports · 2025Article
- Tissue-wide, synchronous Erk oscillations time the segmentation of the zebrafish notochord.bioRxiv : the preprint server for biology · 2025Article
- Reconstitution of circadian clock in synthetic cells reveals principles of timekeeping.Nature communications · 2025Article
- When lowering temperature, the in vivo circadian clock in cyanobacteria follows and surpasses the in vitro protein clock trough the Hopf bifurcation.Scientific reports · 2025Article
- Programming scheduled self-assembly of circadian materials.Nature communications · 2025Article
- Cold-induced degradation of core clock proteins implements temperature compensation in theScience advances · 2024Article
- Computation Implemented by the Interaction of Chemical Reaction, Clustering, and De-Clustering of Molecules.Biomimetics (Basel, Switzerland) · 2024Article
- The seasons within: a theoretical perspective on photoperiodic entrainment and encoding.Journal of comparative physiology. A, Neuroethology, sensory, neural, and behavioral physiology · 2024Review
- Temperature compensation through kinetic regulation in biochemical oscillators.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
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- Cold-induced suspension and resetting of CaiScience · 2023Article
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Authors and funding
6 authors at 4 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Cold temperatures lead to nullification of circadian rhythms in many organisms. Two typical scenarios explain the disappearance of rhythmicity: the first is oscillation death, which is the transition from self-sustained oscillation to damped oscillation that occurs at a critical temperature. The second scenario is oscillation arrest, in which oscillation terminates at a certain phase. In the field of nonlinear dynamics, these mechanisms are called the Hopf bifurcation and the saddle-node on an invariant circle bifurcation, respectively. Although these mechanisms lead to distinct dynamical properties near the critical temperature, it is unclear to which scenario the circadian clock belongs. Here we reduced the temperature to dampen the reconstituted circadian rhythm of phosphorylation of the recombinant cyanobacterial clock protein KaiC. The data led us to conclude that Hopf bifurcation occurred at ∼19 °C. Below this critical temperature, the self-sustained rhythms of KaiC phosphorylation transformed to damped oscillations, which are predicted by the Hopf bifurcation theory. Moreover, we detected resonant oscillations below the critical temperature when temperature was periodically varied, which was reproduced by numerical simulations. Our findings suggest that the transition to a damped oscillation through Hopf bifurcation contributes to maintaining the circadian rhythm of cyanobacteria through resonance at cold temperatures.
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