Fast evaluation of fluctuations in biochemical networks with the linear noise approximation
Fast evaluation of fluctuations in biochemical networks with the linear noise approximation
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DOI：
10.1101/gr.1196503
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发表时间：
2003-11-01
期刊：
影响因子：
7
通讯作者：
Ehrenberg, M
中科院分区：
文献类型：
--
作者：
Elf, J;Ehrenberg, M
单细胞中的生化网络可以显示分子数的大波动，使得介观方法对于正确的系统描述是必要的。我们提出了一种通用的方法，可以快速表征细胞内网络的随机特性。起点是根据速率定律和化学计量学确定系统基本反应的宏观描述。从这个公式中可以直接得到网络中所有分量的主方程的线性噪声近似（LNA）的平稳解。该方法通过提供随机波动的大小、相关性和时间尺度的估计，补充了系统参数依赖性的分岔研究。我们描述了LNA如何通过适当的变量变化和消除快速变量来给出接近宏观不稳定性的精确系统描述。
Biochemical networks in single cells can display large fluctuations in molecule numbers, making mesoscopic approaches necessary for correct system descriptions. We present a general method that allows rapid characterization of the stochastic properties of intracellular networks. The starting point is a macroscopic description that identifies the system's elementary reactions in terms of rate laws and stoichiometries. From this formulation follows directly the stationary Solution of the linear noise approximation (LNA) of the Master equation for all the components in the network. The method complements bifurcation Studies of the system's parameter dependence by providing estimates of sizes, correlations, and time scales of stochastic fluctuations. We describe how the LNA can give precise system descriptions also near macroscopic instabilities by Suitable variable changes and elimination of fast variables.