Zhang Yulin, Zhao Maoxian, Su Jionglong, Lu Xiao, Lv Kebo
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, China.
Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University, Suzhou, Jiangsu 215123, China.
Comput Math Methods Med. 2018 Feb 19;2018:8950794. doi: 10.1155/2018/8950794. eCollection 2018.
A novel model for cascading failures in a directed logic network based on the degree strength at a node was proposed. The definitions of in-degree and out-degree strength of a node were initially reconsidered, and the load at a nonisolated node was proposed as the ratio of in-degree strength to out-degree strength of the node. The cascading failure model based on degree strength was applied to the logic network for three types of cancer including adenocarcinoma of lung, prostate cancer, and colon cancer based on their gene expression profiles. In order to highlight the differences between the three networks by the cascading failure mechanism, we used the largest-scale cascades and the cumulative cascade probability to depict the damage. It was found that the cascading failures caused by hubs are usually larger. Furthermore, the result shows that propagations against the networks were correlated with the structures motifs of connected logical doublets. Finally, some genes were selected based on cascading failure mechanism. We believe that these genes may be involved in the occurrence and development of three types of cancer.
提出了一种基于节点度强度的有向逻辑网络级联故障新模型。首先重新考虑了节点入度强度和出度强度的定义，并提出非孤立节点的负载为该节点入度强度与出度强度之比。基于度强度的级联故障模型基于肺癌腺癌、前列腺癌和结肠癌三种癌症的基因表达谱应用于逻辑网络。为了通过级联故障机制突出三个网络之间的差异，我们使用最大规模级联和累积级联概率来描述损害。发现由枢纽引起的级联故障通常更大。此外，结果表明针对网络的传播与相连逻辑 doublet 的结构基序相关。最后，基于级联故障机制选择了一些基因。我们认为这些基因可能参与了三种癌症的发生和发展。
