改进的非齐性空间反应扩散主方程的随机模拟

应用科学学报

改进的非齐性空间反应扩散主方程的随机模拟

刘祥周文闫正楼王翼飞

上海大学数学系，上海 200444

收稿日期:2007-05-23 修回日期:2007-07-15 出版日期:2007-11-30 发布日期:2007-11-30

Improved Algorithm for Stochastic Simulation of Reaction-Diffusive Master Equation in Inhomogeneous Space

LIU Xiang, ZHOU Wen, YAN Zheng-lou, WANG Yi-fei

Department of Mathematics, Shanghai University, Shanghai 200444

Received:2007-05-23 Revised:2007-07-15 Online:2007-11-30 Published:2007-11-30

摘要/Abstract

摘要： 提出一种改进的下一子空间算法,与原先的下一子空间算法相比，可以模拟更为复杂空间结构中的生化反应，并在某些情况下还可以降低计算量。该文以一个生化反应系统为例，分别利用原始的下一子空间算法和该文的改进算法进行了模拟。结果表明，在某些条件下该文提出的改进算法可以明显地减少模拟所需的计算量。

关键词: 基因调控网络, 反应扩散方程, Gillespie算法, 下一子空间方法

Abstract: We proposed an improved next subvolume method in this paper. Numerical results show that the proposed method can be applied to biochemical reactions systems with complex spatial structure, indicating significant improvement in efficiency compared to existing approaches under some conditions.

Key words: gene regulatory network, reaction-diffusion master equation, Gillespie algorithm, the next subvolume method

刘祥;;周文;闫正楼;王翼飞. 改进的非齐性空间反应扩散主方程的随机模拟[J]. 应用科学学报.

LIU Xiang;ZHOU Wen;YAN Zheng-lou;WANG Yi-fei . Improved Algorithm for Stochastic Simulation of Reaction-Diffusive Master Equation in Inhomogeneous Space[J]. Journal of Applied Sciences.