Phenazine-1-carboxylic acid is a molecule produced by strains of Pseudomonas aeruginosa which is of great importance for the agricultural sector due to its ability to inhibit the growth of various phytopathogenic fungi. In this work the metabolic network of Pseudomonas aeruginosa PAO1 was modeled under the approximation of steady-state flow balance (FBA) and dynamic state (DFBA), in order to simulate the production of phenazine-1-carboxylic acid in this organism. The results simulate the metabolism for the production of biomass in Pseudomonas aeruginosa PAO1, as well as the biosynthesis of PCA in the steady state, since cell wall biosynthesis reactions, synthesis of amino acids, synthesis of cofactors, synthesis of prosthetic groups, synthesis of electron transporters, central metabolism reactions and PCA biosynthesis reactions were active. Biomass production and PCA biosynthesis in Pseudomonas aeruginosa PAO1 were also simulated in the dynamic state, with which the profile of the biomass concentration and the concentration profiles of the elements such as glucose and sulfate were obtained, evidencing in the synthesis reaction of PCA was active but did not have the presence of an extracellular PCA concentration profile. What is consistent with the results in the steady state where no events were observed in the PCA was exported to the extracellular space. According to the results in this work, it is necessary to carry out further studies at an in vitro level, which allow to determine the biological mechanism in which phenazine-1-carboxylic acid is exported to the extracellular medium, so under the approximation of the Flux Balance Analysis Propose alternatives to improve the production of this metabolite on an industrial scale.