动力学系统中涨落与噪声的矩阵方法。
Matrix method for fluctuations and noise in kinetic systems.
作者信息
Chen Y D
出版信息
Proc Natl Acad Sci U S A. 1975 Oct;72(10):3807-11. doi: 10.1073/pnas.72.10.3807.
In a series of papers we were concerned with the question of how to calculate the concentration noise power spectra of an ensemble of multi-state linear kinetic systems when the rate constants of the systems are assumed to be known. We have used a standard eigenvalue-eigenfunction method to solve the differential equations which govern the regression of the means and derived the noise power spectrum as a function of the eigenvalues and eigenfunctions of the relaxation matrix of the system. In this paper, we have obtained an equation which relates the noise spectrum matrix of the fluctuations directly to the relaxation matrix of the means. As a result, the noise power spectrum can be calculated through matrix operations without the necessity of an eigenvalue-eigenfunction calculation. The present formalism is particularly useful in the evaluation of kinetic rate constants when the noise spectrum data of concentration fluctuations are given. Possible applications to biochemical systems are briefly discussed.
在一系列论文中，我们关注的问题是，当假定多状态线性动力学系统的速率常数已知时，如何计算这些系统集合的浓度噪声功率谱。我们使用标准的特征值 - 特征函数方法来求解控制均值回归的微分方程，并将噪声功率谱推导为系统弛豫矩阵的特征值和特征函数的函数。在本文中，我们得到了一个将涨落的噪声谱矩阵直接与均值的弛豫矩阵相关联的方程。结果，无需进行特征值 - 特征函数计算，就可以通过矩阵运算来计算噪声功率谱。当给出浓度涨落的噪声谱数据时，当前的形式体系在评估动力学速率常数方面特别有用。还简要讨论了其在生化系统中的可能应用。
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