Hybrid method for the chemical master equation
Hybrid method for the chemical master equation
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DOI：
10.1016/j.jcp.2007.07.020
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发表时间：
2007-11-10
影响因子：
4.1
通讯作者：
Lotstedt, Per
中科院分区：
文献类型：
--
作者：
Hellander, Andreas;Lotstedt, Per
采用宏观确定性描述与介观随机模型相结合的混合方法求解化学主方程。分子种类分为一个子集，其中计算分子数量的期望值，另一个子集具有分子数量随机变化的种类。宏观方程类似于反应速率方程，随机变量的概率分布满足主方程。由于Gillespie的存在，通过随机模拟算法得到了其概率分布。这些方程通过对中尺度变量的求和而耦合起来。这个求和用拟蒙特卡罗方法逼近。分析了近似中的误差。将杂交方法应用于分子细胞生物学中的三种化学体系。(C) 2007爱思唯尔公司版权所有。
The chemical master equation is solved by a hybrid method coupling a macroscopic, deterministic description with mesoscopic, stochastic model. The molecular species are divided into one subset where the expected values of the number of molecules are computed and one subset with species with a stochastic variation in the number of molecules. The macroscopic equations resemble the reaction rate equations and the probability distribution for the stochastic variables satisfy a master equation. The probability distribution is obtained by the Stochastic Simulation Algorithm due to Gillespie. The equations are coupled via a summation over the mesoscale variables. This summation is approximated by Quasi-Monte Carlo methods. The error in the approximations is analyzed. The hybrid method is applied to three chemical systems from molecular cell biology. (C) 2007 Elsevier Inc. All rights reserved.