Optimizing weighted gene co-expression network analysis with a multi-threaded calculation of the topological overlap matrix

Author:

Shuai Min12,He Dongmei123,Chen Xin12

Affiliation:

1. State Key Laboratory of Characteristic Chinese Medicine Resources in Southwest China , Chengdu University of Traditional Chinese Medicine , Chengdu 611137 , People’s Republic of China

2. Pharmacy College , Chengdu University of Traditional Chinese Medicine, Ministry of Education Key Laboratory of Standardization of Chinese Herbal Medicine, Key Laboratory of Systematic Research, Development and Utilization of Chinese Medicine Resources in Sichuan Province – Key Laboratory Breeding Base of Co-founded by Sichuan Province and MOST , Chengdu 611137 , China

3. Center for Post-doctoral research, National Resource Center for Chinese Materia Medica , China Academy of Chinese Medical Sciences, State Key Laboratory Breeding Base of Dao-di Herbs , Beijing 100700 , China

Abstract

Abstract Biomolecular networks are often assumed to be scale-free hierarchical networks. The weighted gene co-expression network analysis (WGCNA) treats gene co-expression networks as undirected scale-free hierarchical weighted networks. The WGCNA R software package uses an Adjacency Matrix to store a network, next calculates the topological overlap matrix (TOM), and then identifies the modules (sub-networks), where each module is assumed to be associated with a certain biological function. The most time-consuming step of WGCNA is to calculate TOM from the Adjacency Matrix in a single thread. In this paper, the single-threaded algorithm of the TOM has been changed into a multi-threaded algorithm (the parameters are the default values of WGCNA). In the multi-threaded algorithm, Rcpp was used to make R call a C++ function, and then C++ used OpenMP to start multiple threads to calculate TOM from the Adjacency Matrix. On shared-memory MultiProcessor systems, the calculation time decreases as the number of CPU cores increases. The algorithm of this paper can promote the application of WGCNA on large data sets, and help other research fields to identify sub-networks in undirected scale-free hierarchical weighted networks. The source codes and usage are available at https://github.com/do-somethings-haha/multi-threaded_calculate_unsigned_TOM_from_unsigned_or_signed_Adjacency_Matrix_of_WGCNA.

Publisher

Walter de Gruyter GmbH

Subject

Computational Mathematics,Genetics,Molecular Biology,Statistics and Probability

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