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单调和近单调生化网络

Monotone and near-monotone biochemical networks.

作者信息

Sontag Eduardo D

机构信息

Rutgers University, New Brunswick, NJ, USA,

出版信息

Syst Synth Biol. 2007 Apr;1(2):59-87. doi: 10.1007/s11693-007-9005-9. Epub 2007 Jul 4.

DOI:10.1007/s11693-007-9005-9
PMID:19003437
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC2533521/
Abstract

Monotone subsystems have appealing properties as components of larger networks, since they exhibit robust dynamical stability and predictability of responses to perturbations. This suggests that natural biological systems may have evolved to be, if not monotone, at least close to monotone in the sense of being decomposable into a "small" number of monotone components, In addition, recent research has shown that much insight can be attained from decomposing networks into monotone subsystems and the analysis of the resulting interconnections using tools from control theory. This paper provides an expository introduction to monotone systems and their interconnections, describing the basic concepts and some of the main mathematical results in a largely informal fashion.

摘要

单调子系统作为更大网络的组件具有吸引人的特性，因为它们表现出强大的动态稳定性以及对扰动响应的可预测性。这表明自然生物系统可能已经进化为，即便不是单调的，至少在可分解为“少量”单调组件的意义上接近单调。此外，最近的研究表明，通过将网络分解为单调子系统，并使用控制理论工具分析由此产生的互连，可以获得很多见解。本文对单调系统及其互连进行了说明性介绍，以一种基本非正式的方式描述了基本概念和一些主要的数学结果。

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