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Robustness, dissipations and coherence of the oscillation of circadian clock: potential landscape and flux perspectives.

Wang J, Xu L, Wang E - PMC Biophys (2008)

Bottom Line: We also found that the entropy production rate characterizing the dissipation or heat loss decreases as the fluctuations decrease.We also found that the properties from exploring the effects of the inherent chemical rate parameters on the robustness.Our approach is quite general and can be applied to other oscillatory cellular network.PACS Codes: 87.18.-h, 87.18.Vf, 87.18.Yt.

View Article: PubMed Central - HTML - PubMed

Affiliation: State Key Laboratory of Electroanalytical Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, Jilin, 130022, PR China. jin.wang.1@stonybrook.edu.

ABSTRACT
Finding the global probabilistic nature of a non-equilibrium circadian clock is essential for addressing important issues of robustness and function. We have uncovered the underlying potential energy landscape of a simple cyanobacteria biochemical network, and the corresponding flux which is the driving force for the oscillation. We found that the underlying potential landscape for the oscillation in the presence of small statistical fluctuations is like an explicit ring valley or doughnut shape in the three dimensional protein concentration space. We found that the barrier height separating the oscillation ring and other area is a quantitative measure of the oscillation robustness and decreases when the fluctuations increase. We also found that the entropy production rate characterizing the dissipation or heat loss decreases as the fluctuations decrease. In addition, we found that, as the fluctuations increase, the period and the amplitude of the oscillations is more dispersed, and the phase coherence decreases. We also found that the properties from exploring the effects of the inherent chemical rate parameters on the robustness. Our approach is quite general and can be applied to other oscillatory cellular network.PACS Codes: 87.18.-h, 87.18.Vf, 87.18.Yt.

No MeSH data available.


Related in: MedlinePlus

Amplitude. A: The amplitude distribution with different D. B: The standard deviation of amplitude σ versus the D.
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Figure 10: Amplitude. A: The amplitude distribution with different D. B: The standard deviation of amplitude σ versus the D.

Mentions: We also show the distributions of the amplitude for M with increasing D. We can see the distribution becomes more dispersed but stays close to the deterministic value as the fluctuations increase in Fig. 10(A). The standard deviation σ increases when D goes up in Fig. 10(B), again showing less fluctuations leading to more robust oscillations.


Robustness, dissipations and coherence of the oscillation of circadian clock: potential landscape and flux perspectives.

Wang J, Xu L, Wang E - PMC Biophys (2008)

Amplitude. A: The amplitude distribution with different D. B: The standard deviation of amplitude σ versus the D.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC2667439&req=5

Figure 10: Amplitude. A: The amplitude distribution with different D. B: The standard deviation of amplitude σ versus the D.
Mentions: We also show the distributions of the amplitude for M with increasing D. We can see the distribution becomes more dispersed but stays close to the deterministic value as the fluctuations increase in Fig. 10(A). The standard deviation σ increases when D goes up in Fig. 10(B), again showing less fluctuations leading to more robust oscillations.

Bottom Line: We also found that the entropy production rate characterizing the dissipation or heat loss decreases as the fluctuations decrease.We also found that the properties from exploring the effects of the inherent chemical rate parameters on the robustness.Our approach is quite general and can be applied to other oscillatory cellular network.PACS Codes: 87.18.-h, 87.18.Vf, 87.18.Yt.

View Article: PubMed Central - HTML - PubMed

Affiliation: State Key Laboratory of Electroanalytical Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, Jilin, 130022, PR China. jin.wang.1@stonybrook.edu.

ABSTRACT
Finding the global probabilistic nature of a non-equilibrium circadian clock is essential for addressing important issues of robustness and function. We have uncovered the underlying potential energy landscape of a simple cyanobacteria biochemical network, and the corresponding flux which is the driving force for the oscillation. We found that the underlying potential landscape for the oscillation in the presence of small statistical fluctuations is like an explicit ring valley or doughnut shape in the three dimensional protein concentration space. We found that the barrier height separating the oscillation ring and other area is a quantitative measure of the oscillation robustness and decreases when the fluctuations increase. We also found that the entropy production rate characterizing the dissipation or heat loss decreases as the fluctuations decrease. In addition, we found that, as the fluctuations increase, the period and the amplitude of the oscillations is more dispersed, and the phase coherence decreases. We also found that the properties from exploring the effects of the inherent chemical rate parameters on the robustness. Our approach is quite general and can be applied to other oscillatory cellular network.PACS Codes: 87.18.-h, 87.18.Vf, 87.18.Yt.

No MeSH data available.


Related in: MedlinePlus