基因调控网络中的延滞动力学

应用科学学报 ›› 2007, Vol. 25 ›› Issue (1): 85-90.

基因调控网络中的延滞动力学

张家军, 蔡传政, 王翼飞

上海大学数学系, 上海 200444

收稿日期:2005-12-21 修回日期:2006-02-21 出版日期:2007-01-31 发布日期:2007-01-31
通信作者: 王翼飞,教授,博导,研究方向:计算分子生物学,E-mail:yifei_wang@staff.shu.edu.cn E-mail:yifei_wang@staff.shu.edu.cn
基金资助:
国家“973”重点基础研究发展计划资助项目(001CB510205)

Time Delay Kinetics in Gene Regulatory Networks

ZHANG Jia-jun, CAI Chuan-zheng, WANG Yi-fei

Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2005-12-21 Revised:2006-02-21 Online:2007-01-31 Published:2007-01-31

摘要/Abstract

摘要：

由于基因调控网络中生物化学反应的时间多尺度性,如DNA与蛋白质结合以及蛋白质聚合等快速反应、转录翻译和降解等慢速反应,延滞现象在基因调控网络中普遍存在.文中提出一种延滞基因调控网络的随机模型,并且从矩方程和改进的Gillespie算法对模型进行探讨.还分别考虑了单基因延滞自调控网络和双基因延滞调控网络的例子,计算机模拟计算结果表明,基因调控网络中的延滞可以诱发调控产物浓度的随机振荡,这与实验结果相当吻合.

关键词: 基因调控网络, 主方程, 延滞, Gillespie算法

Abstract:

Time delay kinetics are ubiquitous in gene regulation, because of the vast separation of time scales between the fast reactions like DNA-binding and dimerizations, and slow reactions like translation, transcription and degradation.We develop a stochastic model of the delay gene regulatory network, and study both deterministic monments evolution equations and modified Gillespie algorithm simulation numerically.For example, single gene delay autoregulatory network and double gene delay regulatory network are studied.We find that time delays tend to create oscillations in gene regulatory network, in agreement with experiment data.

Key words: gene regulatory network, master equation, time delay, Gillespie algorithm

中图分类号:

Q612

张家军, 蔡传政, 王翼飞. 基因调控网络中的延滞动力学[J]. 应用科学学报, 2007, 25(1): 85-90.

ZHANG Jia-jun, CAI Chuan-zheng, WANG Yi-fei. Time Delay Kinetics in Gene Regulatory Networks[J]. Journal of Applied Sciences, 2007, 25(1): 85-90.