Elimination of fast variables in chemical Langevin equations
Elimination of fast variables in chemical Langevin equations
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DOI：
10.1063/1.3027499
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发表时间：
2008-12-07
影响因子：
4.4
通讯作者：
Papoian, Garegin A.
中科院分区：
文献类型：
--
作者：
Lan, Yueheng;Elston, Timothy C.;Papoian, Garegin A.
内部和外部波动在细胞信号传导过程中普遍存在。由于生化反应通常在不同的时间尺度上发展，因此可以调用数学扰动技术来降低随机模型的复杂性。以前在这方面的工作集中在直接处理的主方程。然而，消除化学朗之万方程中的快变量也是一个重要的问题。我们展示了如何解决这个问题，利用部分均衡假设。我们的技术被应用到一个简单的出生-死亡-二聚化过程和一个更复杂的基因调控网络，表现出极大的计算效率。从精确的随机模拟计算的结果发现极好的协议。我们将我们的方法与现有的减排计划进行比较，并讨论未来改进的途径。
Internal and external fluctuations are ubiquitous in cellular signaling processes. Because biochemical reactions often evolve on disparate time scales, mathematical perturbation techniques can be invoked to reduce the complexity of stochastic models. Previous work in this area has focused on direct treatment of the master equation. However, eliminating fast variables in the chemical Langevin equation is also an important problem. We show how to solve this problem by utilizing a partial equilibrium assumption. Our technique is applied to a simple birth-death-dimerization process and a more involved gene regulation network, demonstrating great computational efficiency. Excellent agreement is found with results computed from exact stochastic simulations. We compare our approach with existing reduction schemes and discuss avenues for future improvement.