Biochemical clocks and molecular noise: Theoretical study of robustness factors
Biochemical clocks and molecular noise: Theoretical study of robustness factors
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DOI：
10.1063/1.1475765
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发表时间：
2002-06-22
影响因子：
4.4
通讯作者：
Gaspard, P
中科院分区：
文献类型：
--
作者：
Gonze, D;Halloy, J;Gaspard, P
我们报告了一项研究的影响，分子波动的昼夜节律的限制周期模型的基础上参与生化时钟的基因的调控网络。分子波动可能变得重要，因为在亚细胞水平上参与这种遗传调控网络的分子数量很少。分子的涨落是由一个生-死的随机过程描述的，该过程由Nicolis及其同事的化学主方程控制，并由吉莱斯皮的算法模拟。振荡的鲁棒性的特征在于，特别是，由第一返回时间的概率分布和噪声振荡的自相关函数。的自相关函数的半衰期的研究作为一个功能的大小的系统，控制的分子波动的幅度和程度的协同性的一些反应步骤的生化钟。极限环的吸引性的作用也进行了讨论。(C)2002年美国物理学会。
We report a study of the influence of molecular fluctuations on a limit-cycle model of circadian rhythms based on the regulatory network of a gene involved in a biochemical clock. The molecular fluctuations may become important because of the low number of molecules involved in such genetic regulatory networks at the subcellular level. The molecular fluctuations are described by a birth-and-death stochastic process ruled by the chemical master equation of Nicolis and co-workers and simulated by Gillespie's algorithm. The robustness of the oscillations is characterized, in particular, by the probability distribution of the first-return times and the autocorrelation functions of the noisy oscillations. The half-life of the autocorrelation functions is studied as a function of the size of the system which controls the magnitude of the molecular fluctuations and of the degree of cooperativity of some reaction steps of the biochemical clock. The role of the attractivity of the limit cycle is also discussed. (C) 2002 American Institute of Physics.