Abstract

BackgroundBayesian networks (BNs) have been widely used to estimate gene regulatory networks. Many BN methods have been developed to estimate networks from microarray data. However, two serious problems reduce the effectiveness of current BN methods. The first problem is that BN-based methods require huge computational time to estimate large-scale networks. The second is that the estimated network cannot have cyclic structures, even if the actual network has such structures.ResultsIn this paper, we present a novel BN-based deterministic method with reduced computational time that allows cyclic structures. Our approach generates all the combinational triplets of genes, estimates networks of the triplets by BN, and unites the networks into a single network containing all genes. This method decreases the search space of predicting gene regulatory networks without degrading the solution accuracy compared with the greedy hill climbing (GHC) method. The order of computational time is the cube of number of genes. In addition, the network estimated by our method can include cyclic structures.ConclusionsWe verified the effectiveness of the proposed method for all known gene regulatory networks and their expression profiles. The results demonstrate that this approach can predict regulatory networks with reduced computational time without degrading the solution accuracy compared with the GHC method.

Highlights

  • Bayesian networks (BNs) have been widely used to estimate gene regulatory networks

  • We present a novel BN-based deterministic method with reduced computational time to overcome the above-mentioned problems

  • In order to verify the effectiveness of the proposed method, we perform two experiments, to evaluate scalability and accuracy: i.e., one to verify the proposed method can estimate networks as large-scale as those estimated by the greedy hill climbing (GHC) method, and one to verify it can estimate more accurately than the GHC method

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Summary

Introduction

Bayesian networks (BNs) have been widely used to estimate gene regulatory networks. Many BN methods have been developed to estimate networks from microarray data. Two serious problems reduce the effectiveness of current BN methods. The first problem is that BN-based methods require huge computational time to estimate large-scale networks. Causal gene regulatory interactions are widely described using gene regulatory networks. Estimating gene regulatory networks can help reveal complicated regulations. Microarray [3,4] has rapidly produced a wealth of information about gene expression activities. The volume of data necessitates computational methods to identify and analyze the underlying gene regulatory networks [5]. A number of analytical methods have been proposed to estimate gene regulatory networks from gene expression profiles.

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