Li Fangfei, Tang Yang
IEEE/ACM Trans Comput Biol Bioinform. 2017 May-Jun;14(3):740-745. doi: 10.1109/TCBB.2016.2555302. Epub 2016 Apr 20.
Boolean networks serve a powerful tool in analysis of genetic regulatory networks since it emphasizes the fundamental principles and establishes a nature framework for capturing the dynamics of regulation of cellular states. In this paper, the robust reachability of Boolean control networks is investigated by means of semi-tensor product. Necessary and sufficient conditions for the robust reachability of Boolean control networks are provided, in which control inputs relying on disturbances or not are considered, respectively. Besides, the corresponding control algorithms are developed for these two cases. A reduced model of the lac operon in the Escherichia coli is presented to show the effectiveness of the presented results.
布尔网络是分析基因调控网络的有力工具，因为它强调基本原理，并为捕捉细胞状态调控动态建立了一个自然框架。本文利用半张量积研究布尔控制网络的鲁棒可达性。分别给出了布尔控制网络鲁棒可达性的充要条件，其中分别考虑了依赖于干扰的控制输入和不依赖于干扰的控制输入。此外，针对这两种情况开发了相应的控制算法。给出了大肠杆菌中乳糖操纵子的简化模型，以说明所提结果的有效性。
