Concept of FSEOF framework to select the gene amplification targets for enhanced product formation. FSEOF searches for the candidate fluxes to be amplified through scanning for those fluxes that increase with enforced objective (product formation) flux under the objective function of maximizing biomass formation flux. During the FSEOF implementation, three types of intracellular flux profiles are typically identified, increased, decreased, and unchanged; oscillating flux profiles can be found in rare cases. Among them, FSEOF identifies the fluxes showing the increased profile as the primary amplification targets.