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Living systems regulate many aspects of their behavior through periodic oscillations of molecular concentrations, which function as `biochemical clocks.' These clocks are intrinsically subject to thermal fluctuations, so that the duration of a full oscillation cycle is random.
The least variable phase type distribution is erlang
A. David and S. Larry · 1987
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Pumped biochemical reactions, nonequilibrium circulation, and stochastic resonance
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Reconstitution of circadian oscillation of cyanobacterial kaic phosphorylation in vitro
M. Nakajima, K. Imai, H. Ito, and T. Nishiwaki · 2005
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ATPase activity of KaiC determines the basic timing for circadian clock of cyanobacteria
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Light-driven changes in energy metabolism directly entrain the cyanobacterial circadian oscillator
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C. Phong, J. S. Markson, C. M. Wilhoite, and M. J. Rust · 2013
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Robust and tunable circadian rhythms from differentially sensitive catalytic domains
C. Phong, J. S. Markson, C. M. Wilhoite, and M. J. Rust · 2013
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P. Pietzonka, A. C. Barato, and U. Seifert · 2016
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P. Pietzonka, K. Kleinbeck, and U. Seifert · 2016
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T. R. Gingrich and J. M. Horowitz · 2017
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Structural basis of the day-night transition in a bacterial circadian clock
R. Tseng, N. F. Goularte, A. Chavan, J. Luu, S. E. Cohen, Y.-G. Chang, J. Heisler, S. Li, A. K. Michael, S. Tripathi, et al · 2017
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High protein copy number is required to suppress stochasticity in the cyanobacterial circadian clock
J. Chew, E. Leypunskiy, J. Lin, A. Murugan, and M. J. Rust · 2018
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Biophysical clocks face a trade-off between internal and external noise resistance
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First-passage times in renewal and nonrenewal systems
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