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The KaiABC circadian clock from cyanobacteria is the only known three-protein oscillatory system which can be reconstituted outside the cell and which displays sustained periodic dynamics in various molecular state variables. Despite many…

Biological Physics · Physics 2014-05-15 Mark Byrne

Biological oscillators are very diverse but can be classified based on dynamical motifs such as the types of feedback loops present. The S. Elongatus circadian clock is a remarkable phosphorylation-based oscillator that can be reconstituted…

Molecular Networks · Quantitative Biology 2018-06-06 Alexander D. Golden , Joris Paijmans , David K. Lubensky

Biochemical circadian rhythm oscillations play an important role in many signalling mechanisms. In this work, we explore some of the biophysical mechanisms responsible for sustaining robust oscillations by constructing a minimal but…

Biological Physics · Physics 2021-07-16 Agnish Kumar Behera , Clara del Junco , Suriyanarayanan Vaikuntanathan

Protein sequestration motifs appear in many biological regulatory networks and introduce special properties into the network dynamics. Sequestration can be described as a mode of inactivation of a given protein by its binding to a second…

Dynamical Systems · Mathematics 2025-06-05 Benjamin Böbel , Madalena Chaves , Jean-Luc Gouzé

By incubating the mixture of three cyanobacterial proteins, KaiA, KaiB, and KaiC, with ATP in vitro, Kondo and his colleagues reconstituted the robust circadian rhythm of the phosphorylation level of KaiC (Science, 308; 414-415 (2005)).…

Molecular Networks · Quantitative Biology 2009-11-13 Kohei Eguchi , Mitsumasa Yoda , Tomoki P. Terada , Masaki Sasai

We propose a revisited version of the in vivo model of the cyanobacterial circadian clock. Our aim is to address the lack of robustness predicted for the mutant cyanobacteria without transcriptional regulation of the original model. For…

Molecular Networks · Quantitative Biology 2022-04-11 Dorota Youmbi Fouego , Sophie de Buyl

The simple circadian oscillator found in cyanobacteria can be reconstituted in vitro using three proteins-KaiA, KaiB and KaiC. The total phosphorylation level of KaiC oscillates with a circadian period. Recent experiments elucidated the…

Molecular Networks · Quantitative Biology 2012-03-09 Georgios I. Tsormpatzoglou

The principal pacemaker of the circadian clock of the cyanobacterium S. elongatus is a protein phosphorylation cycle consisting of three proteins, KaiA, KaiB and KaiC. KaiC forms a homohexamer, with each monomer consisting of two domains,…

Biological Physics · Physics 2017-03-21 Joris Paijmans , David K Lubensky , Pieter Rein ten Wolde

To estimate the time, many organisms, ranging from cyanobacteria to animals, employ a circadian clock which is based on a limit-cycle oscillator that can tick autonomously with a nearly 24h period. Yet, a limit-cycle oscillator is not…

Molecular Networks · Quantitative Biology 2018-08-22 Michele Monti , David K Lubensky , Pieter Rein ten Wolde

In a recent series of ground-breaking experiments, Nakajima et al. [Science 308, 414-415 (2005)] showed that the three cyanobacterial clock proteins KaiA, KaiB, and KaiC are sufficient in vitro to generate circadian phosphorylation of KaiC.…

Molecular Networks · Quantitative Biology 2009-11-13 Jeroen S. van Zon , David K. Lubensky , Pim R. H. Altena , Pieter Rein ten Wolde

Circadian rhythms in living organisms are temporal orders emerging from biochemical circuits driven out of equilibrium. Here, considering the KaiABC system, a minimal model in the synthetic biology, we study how the oscillation emerges from…

Statistical Mechanics · Physics 2026-04-10 YeongKyu Lee , Changbong Hyeon

Circadian (~24hr) clocks are self-sustained endogenous oscillators with which organisms keep track of daily and seasonal time. Circadian clocks frequently rely on interlocked transcriptional- translational feedback loops to generate rhythms…

Molecular Networks · Quantitative Biology 2016-04-14 Jae Kyoung Kim

Circadian clocks are the central timekeepers of life, allowing cells to anticipate changes between day and night. Experiments in recent years have revealed that circadian clocks can be highly stable, raising the question how reliably they…

Molecular Networks · Quantitative Biology 2016-06-22 Michele Monti , Pieter Rein ten Wolde

Many organisms possess both a cell cycle to control DNA replication and a circadian clock to anticipate changes between day and night. In some cases, these two rhythmic systems are known to be coupled by specific, cross-regulatory…

Molecular Networks · Quantitative Biology 2016-04-12 Joris Paijmans , Mark Bosman , Pieter Rein ten Wolde , David K. Lubensky

Circadian clocks play a pivotal role in orchestrating numerous physiological and developmental events. Waveform shapes of the oscillations of protein abundances can be informative about the underlying biochemical processes of circadian…

Subcellular Processes · Quantitative Biology 2018-11-27 Hang-Hyun Jo , Yeon Jeong Kim , Jae Kyoung Kim , Mathias Foo , David E. Somers , Pan-Jun Kim

When three cyanobacterial proteins, KaiA, KaiB, and KaiC, are incubated with ATP in vitro, the phosphorylation level of KaiC hexamers shows stable oscillation with approximately 24 h period. In order to understand this KaiABC clockwork, we…

Molecular Networks · Quantitative Biology 2018-03-08 Sumita Das , Tomoki P. Terada , Masaki Sasai

The cyanobacterium Synechococcus elongatus uses both a protein phosphorylation cycle and a transcription-translation cycle to generate circadian rhythms that are highly robust against biochemical noise. We use stochastic simulations to…

Molecular Networks · Quantitative Biology 2012-02-16 David Zwicker , David K. Lubensky , Pieter Rein ten Wolde

Circadian clocks must be able to entrain to time-varying signals to keep their oscillations in phase with the day-night rhythm. On the other hand, they must also exhibit input compensation: their period must remain about one day in…

Biological Physics · Physics 2017-07-13 Joris Paijmans , David K Lubensky , Pieter Rein ten Wolde

Active biological molecules present a powerful, yet largely untapped, opportunity to impart autonomous regulation to materials. Because these systems can function robustly to regulate when and where chemical reactions occur, they have the…

Long and stable timescales are often observed in complex biochemical networks, such as in emergent oscillations. How these robust dynamics persist remains unclear, given the many stochastic reactions and shorter time scales demonstrated by…

Biological Physics · Physics 2024-08-02 Chongbin Zheng , Evelyn Tang
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