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arXiv 1104.4524q-bio.QM
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系统生物学中的随机建模

Stochastic Modeling in Systems Biology

Jinzhi Lei

摘要:

细胞的许多行为都受到基因调控网络的调控,基因调控网络的动力学是系统生物学研究的主要内容之一。由于这些反应体系中的分子数量很少,随机效应是显著的。近年来,基因调控网络动力学模型的随机性问题引起了许多研究者的关注。本文是一个自我包含的审查,试图提供一个概述随机建模。本文将介绍模拟具有内在噪声的生化系统的主要方程(化学主方程、Fokker-Plan方程、反应速率方程、化学Langevin方程)的推导过程,并讨论这些方程之间的关系。本文还讨论了动力学参数波动系统的数学公式。最后,我将介绍用于数值模拟的精确随机模拟算法和近似显式τ跳跃方法。

英文摘要:

Many cellular behaviors are regulated by gene regulation networks, kinetics of which is one of the main subjects in the study of systems biology. Because of the low number molecules in these reacting systems, stochastic effects are significant. In recent years, stochasticity in modeling the kinetics of gene regulation networks have been drawing the attention of many researchers. This paper is a self contained review trying to provide an overview of stochastic modeling. I will introduce the derivation of the main equations in modeling the biochemical systems with intrinsic noise (chemical master equation, Fokker-Plan equation, reaction rate equation, chemical Langevin equation), and will discuss the relations between these formulations. The mathematical formulations for systems with fluctuations in kinetic parameters are also discussed. Finally, I will introduce the exact stochastic simulation algorithm and the approximate explicit tau-leaping method for making numerical simulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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