Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA.
Bioinformatics. 2010 Aug 15;26(16):2037-41. doi: 10.1093/bioinformatics/btq333. Epub 2010 Jul 2.
Linking the topology of a complex network to its long-term behavior is a basic problem in network theory, which has been on the focus of many recent research publications. To obtain a suitable Boolean model for a biological system, one must analyze the initial model and compare it with other experimental evidence, and if necessary, make adjustments by changing the topology of the wiring diagram. However, our knowledge on how to link the topology of a network to its long-term behavior is very limited due to the complexity of the problem. Since the need to consider complex biological networks has become ever greater, develop both theoretical foundation and algorithms for model selection and analysis has been brought to the forefront of biological network study.
This article proposes a novel method to study intrinsically the relationship between experimental data and the possible Boolean networks, which can be used to model the underlying system. Simple and easy to use criteria for a Boolean network to have both a given network topology and a given set of stable states are derived. These criteria can be used to guide the selection of a Boolean network model for the system, as well as to gain information on the intrinsic properties, such as the robustness and the evolvability, of the system. A Boolean model for the fruit fly Drosophila melanogaster is used to explain the method.
将复杂网络的拓扑结构与其长期行为联系起来是网络理论中的一个基本问题，这一直是许多近期研究论文的重点。为了获得生物系统的合适布尔模型，必须分析初始模型并将其与其他实验证据进行比较，如果有必要，通过改变布线图的拓扑结构进行调整。然而，由于问题的复杂性，我们将网络拓扑结构与其长期行为联系起来的知识非常有限。由于需要考虑复杂的生物网络，因此已经将模型选择和分析的理论基础和算法提上了生物网络研究的前沿。
本文提出了一种新的方法来研究实验数据与可能的布尔网络之间的内在关系，该方法可用于对底层系统进行建模。推导出了布尔网络具有给定网络拓扑结构和给定稳定状态集的简单易用的准则。这些准则可用于指导为系统选择布尔网络模型，以及获取有关系统内在特性（如稳健性和可进化性）的信息。使用果蝇 Drosophila melanogaster 的布尔模型来解释该方法。
