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Stochastic analysis of biochemical reaction networks.

机译:生化反应网络的随机分析。

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摘要

In this thesis we study biochemical reaction networks where various reactions between biochemical species occur.; In the first chapter we introduce a background for deterministic and stochastic formulations of biochemical reaction networks based on graph theory. We present motivating examples for multiscale reaction networks, which are studied in the third chapter.; In the second chapter we study a stochastic model for a general system of first-order reactions in which each reaction may be either a conversion reaction or a catalytic reaction. The governing master equation is formulated in a manner that explicitly separates the effects of network topology from other aspects, and the evolution equations for the first two moments are derived.; In the third chapter, we focus on a multiscale analysis of biochemical reaction networks where reactions between various molecular species occur on different time scales. With application of a perturbation method and an invariant theory based on the graph theory we eliminate fast kinetics and reduce the system in deterministic and stochastic descriptions.; In the fourth chapter we do a stochastic analysis of reaction-diffusion systems with linear reactions. The steady-state noise is computed explicitly for strongly connected closed and open systems.
机译:在本文中,我们研究了生化反应网络,其中生化物种之间发生各种反应。在第一章中,我们介绍了基于图论的生化反应网络确定性和随机公式的背景。我们提供了多尺度反应网络的激励实例,将在第三章中进行研究。在第二章中,我们研究了一阶反应的一般系统的随机模型,其中每个反应可能是转化反应或催化反应。控制主方程的制定方式将网络拓扑的影响与其他方面明确分开,并推导了前两个时刻的演化方程。在第三章中,我们着重于生化反应网络的多尺度分析,其中各种分子种类之间的反应在不同的时间尺度上发生。通过应用摄动方法和基于图论的不变理论,我们消除了快速动力学,并在确定性和随机性描述中减少了系统。在第四章中,我们对具有线性反应的反应扩散系统进行了随机分析。对于强连接的封闭和开放系统,将明确计算稳态噪声。

著录项

  • 作者

    Lee, Chang Hyeong.;

  • 作者单位

    University of Minnesota.;

  • 授予单位 University of Minnesota.;
  • 学科 Biology Molecular.; Mathematics.
  • 学位 Ph.D.
  • 年度 2006
  • 页码 197 p.
  • 总页数 197
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 分子遗传学;数学;
  • 关键词

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