论文标题
布尔网络的分解：生物系统模块化的方法
Decomposition of Boolean networks: An approach to modularity of biological systems
论文作者
论文摘要
本文为布尔网络的分解理论奠定了基础，这是一种离散的动力系统，在生命科学，工程和物理学中发现了广泛的应用。考虑到满足某些条件的布尔网络，有一个独特的子网集合，因此可以通过扩展操作从这些子网络重建网络。本文的主要结果是，这种结构分解诱导网络动力学的相应分解。该理论是通过寻找数学框架来形式化生物系统是模块化的，在生命科学中被广泛接受的，但不是定义明确且特征良好的假设的动机。作为如何将动态模块化用于有效识别表型控制的一个例子，可以通过一次识别模块中的控制措施来找到网络的控制策略。
This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network satisfying certain conditions, there is a unique collection of subnetworks so that the network can be reconstructed from these subnetworks by an extension operation. The main result of the paper is that this structural decomposition induces a corresponding decomposition of the network dynamics. The theory is motivated by the search for a mathematical framework to formalize the hypothesis that biological systems are modular, widely accepted in the life sciences, but not well-defined and well-characterized. As an example of how dynamic modularity could be used for the efficient identification of phenotype control, the control strategies for the network can be found by identifying controls in its modules, one at a time.
