Bounds on stochastic chemical kinetic systems at steady state.
Bounds on stochastic chemical kinetic systems at steady state.
复制标题
稳态随机化学动力学系统的界限。
DOI：
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发表时间：
2018
影响因子：
4.4
通讯作者：
P. I. Barton
中科院分区：
文献类型：
--
作者：
Garrett R Dowdy;P. I. Barton
矩量法被认为是一种降低随机化学动力学中化学主方程维数的有效方法。然而，试图将矩量法应用于CME通常会导致所谓的闭合问题。几位作者提出了矩封闭方案，使他们能够获得感兴趣的数量的近似值，例如每个物种的平均分子计数。然而，这些近似具有不令人满意的特征，即它们没有误差界。本文提出了一个根本不同的方法来解决封闭问题的随机化学动力学。而不是作出近似计算一个单一的数字的数量感兴趣的，我们计算数学上严格的界限，这个数量的解决半定规划。这些界限提供了对矩封闭近似的有效性的检查，并且在某些情况下非常紧，以至于它们有效地提供了所需的量。在本文中，感兴趣的有界量是每个物种的平均分子计数，在这个计数的方差，和计数位于任意区间的概率。目前，我们只考虑稳态概率分布，打算在将来的出版物中讨论动态问题。
The method of moments has been proposed as a potential means to reduce the dimensionality of the chemical master equation (CME) appearing in stochastic chemical kinetics. However, attempts to apply the method of moments to the CME usually result in the so-called closure problem. Several authors have proposed moment closure schemes, which allow them to obtain approximations of quantities of interest, such as the mean molecular count for each species. However, these approximations have the dissatisfying feature that they come with no error bounds. This paper presents a fundamentally different approach to the closure problem in stochastic chemical kinetics. Instead of making an approximation to compute a single number for the quantity of interest, we calculate mathematically rigorous bounds on this quantity by solving semidefinite programs. These bounds provide a check on the validity of the moment closure approximations and are in some cases so tight that they effectively provide the desired quantity. In this paper, the bounded quantities of interest are the mean molecular count for each species, the variance in this count, and the probability that the count lies in an arbitrary interval. At present, we consider only steady-state probability distributions, intending to discuss the dynamic problem in a future publication.
DOI：
10.1137/15m1053347
发表时间：
2015-12
期刊：
SIAM J. Appl. Dyn. Syst.
影响因子：
--
作者：
Giovanni Fantuzzi;D. Goluskin;Deqing Huang;Sergei I. Chernyshenko
通讯作者：
Giovanni Fantuzzi;D. Goluskin;Deqing Huang;Sergei I. Chernyshenko
影响因子：
4.7
作者：
Sotiropoulos V;Kaznessis YN
通讯作者：
Kaznessis YN
影响因子：
2
作者：
Ghusinga, Khem Raj;Vargas-Garcia, Cesar A.;Singh, Abhyudai
通讯作者：
Singh, Abhyudai