Abstract

This paper presents preliminary results and findings of a dynamic gene regulatory network analysis obtained from Saccharomyces cerevisiae (budding yeast) time-course DNA microarray data using a new Alternative Direction Methods of Multipliers (ADMM) based maximum a posteriori probability and time-varying autoregression model (MAP-TVAR) approach. It employs the Li-regularization based sparsity and continuity constraints, which facilitate the identification of sparse GRNs and reduce the estimation variance respectively. Simulation results using synthetic dataset show that the proposed ADMM-based extension not only performs better than our previous work in terms of identification accuracy but also is able to achieve considerable speedup. This enables us to process the whole genome of the budding yeast containing 10,715 genes and 15 timepoints more efficiently. We are able to identify gene interactions aligning well with some natural phenomena and reported in yeast cell cycle related literature. These suggest that the MAP-TVAR approach may serve as a useful tool for large-scale time-varying GRNs analysis using gene microarray data and other related datasets.

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