Resolution method for mixed integer bi-level linear problems based on decomposition technique
Journal of Global Optimization
A review of recent advances in global optimization
Journal of Global Optimization
Model building using bi-level optimization
Journal of Global Optimization
Optimizing microwind rural electrification projects. A case study in Peru
Journal of Global Optimization
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Motivation: A novel mixed-integer optimization framework is proposed for the design and analysis of regulatory networks. The model combines gene expression data and prior biological knowledge regarding the potential for regulatory interactions between genes and their corresponding transcription factors. The formalism provides significant advantages over available modeling methodologies in that the complexity of the regulatory network can be explicitly taken into account, multiple alternative structures can be systematically generated and finally robust and biological significant regulators can be rigorously identified. The original non-convex mixed integer reformulation is appropriately linearized and the resulting MILP is effectively optimized using standard solvers. The versatility is demonstrated using gene expression and binding data from an E. coli case study during transition from glucose to acetate as the sole carbon source.