Low temperature nullifies the circadian clock in cyanobacteria through Hopf bifurcation

Proceedings of the National Academy of Sciences of the United States of America
Yoriko MurayamaHiroshi Ito

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 simul...Continue Reading

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Citations

Jun 24, 2017·Molecular Biology of the Cell·Isao T TokudaMakoto Akashi
Aug 24, 2018·The Journal of Experimental Biology·Jenni M Prokkola, Mikko Nikinmaa
Aug 26, 2020·Scientific Reports·Christine HörnleinHenk Bolhuis
Jun 30, 2018·Biophysics and Physicobiology·Sumita DasMasaki Sasai
Jan 5, 2019·Physical Review Letters·David A CzaplewskiSteven W Shaw
May 10, 2020·Nature Communications·Naohiro KawamotoHideo Iwasaki
Feb 5, 2019·Biophysical Journal·Shingo Gibo, Gen Kurosawa

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