Abstract

Identification of important nodes in complex networks has attracted an increasing attention over the last decade. Various measures have been proposed to characterize the importance of nodes in complex networks, such as the degree, betweenness and PageRank. Different measures consider different aspects of complex networks. Although there are numerous results reported on undirected complex networks, few results have been reported on directed biological networks. Based on network motifs and principal component analysis (PCA), this paper aims at introducing a new measure to characterize node importance in directed biological networks. Investigations on five real-world biological networks indicate that the proposed method can robustly identify actually important nodes in different networks, such as finding command interneurons, global regulators and non-hub but evolutionary conserved actually important nodes in biological networks. Receiver Operating Characteristic (ROC) curves for the five networks indicate remarkable prediction accuracy of the proposed measure. The proposed index provides an alternative complex network metric. Potential implications of the related investigations include identifying network control and regulation targets, biological networks modeling and analysis, as well as networked medicine.

Highlights

  • Complex network theory and its applications have been popular topics in recent years [1,2,3,4,5,6,7,8]

  • In the CEN and Yeast Transcriptional (YT), when the command interneurons, interneurons, key global regulators and global regulators are treated as important nodes, we compared the performance among different measures

  • In this paper, based on network motifs and multivariate statistical analysis, we have proposed a novel measure to characterize node importance in directed biological networks

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Summary

Introduction

Complex network theory and its applications have been popular topics in recent years [1,2,3,4,5,6,7,8]. In gene regulatory networks, nodes represent genes or transcription factors, edges represent the interactions between transcription factors and the regulated genes, or between transcription factors. Identification of important nodes in complex networks has been an intriguing topic [16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]. In social networks, provided that one knows which nodes are the most important ones, one can control these nodes in priority to prevent the spread of infectious diseases [16]. The other indexes include the betweenness [19], closeness [1], k-shell [7], principal component centrality [17]

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