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Abstract
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Identification of master regulatory genes is one of the main challenges in biology. They are
important in controlling other genes in a gene regulatory network. In this paper, we consider
weighted gene regulatory network (WGRN) problem which aims to determine a set of master
regulator genes with minimum cardinality and maximum weight. We reformulate this problem as a
multiobjective programming model based on the Minimum Dominating Set (MDS) model for
directed graphs. This method is applied on a simple network.
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