Reduction and solution of the chemical master equation using time scale separation and finite state projection.
Reduction and solution of the chemical master equation using time scale separation and finite state projection.
复制标题
使用时间尺度分离和有限状态投影来简化和求解化学主方程。
DOI：
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发表时间：
2006
影响因子：
4.4
通讯作者：
M. Khammash
中科院分区：
文献类型：
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作者：
S. Peles;B. Munsky;M. Khammash
化学反应网络的动力学通常发生在非常不同的时间尺度上-从纳秒到几天的数量级。这是特别真实的基因调控网络，这是由化学动力学建模。数学模型中的多时间尺度往往会导致严重的计算困难，例如微分方程的数值刚度或随机过程中过度冗余的Monte Carlo模拟。我们提出了一个模型降阶方法的随机化学动力学系统的研究，利用多个时间尺度。该方法适用于化学主方程的有限投影，并允许系统动力学的有效时间尺度分离。我们实现了这种方法在一个新的数值算法，利用时间尺度分离，实现模型降阶，同时使错误检查和控制。我们说明了我们的方法的效率，在基因调控网络的最新发展的几个例子的动机。
The dynamics of chemical reaction networks often takes place on widely differing time scales--from the order of nanoseconds to the order of several days. This is particularly true for gene regulatory networks, which are modeled by chemical kinetics. Multiple time scales in mathematical models often lead to serious computational difficulties, such as numerical stiffness in the case of differential equations or excessively redundant Monte Carlo simulations in the case of stochastic processes. We present a model reduction method for study of stochastic chemical kinetic systems that takes advantage of multiple time scales. The method applies to finite projections of the chemical master equation and allows for effective time scale separation of the system dynamics. We implement this method in a novel numerical algorithm that exploits the time scale separation to achieve model order reductions while enabling error checking and control. We illustrate the efficiency of our method in several examples motivated by recent developments in gene regulatory networks.
影响因子：
16
作者：
Hernday, AD;Braaten, BA;Low, DA
通讯作者：
Low, DA