BACKGROUND: This work develops a simplified mathematical model to predict the performance of a bioelectrochemical system (BES), first working as a microbial fuel cell (MFC) and then as a microbial electrolysis cell (MEC), for the recovery of dissolved metals (Fe, Cu, Sn, and Ni) from simulated industrial wastewater. Experimental data from a previous work were used as starting points for mathematical modelling. Wastewater was used as the catholyte and contained Cu 2+ and Fe 3+ (500 mg L −1 ) as well as Sn 2+ and Ni 2+ (50 mg L −1 ), while the anolyte was composed of sodium acetate. Two mixed microbial populations were considered in the anode compartment (electrogenic and non-electrogenic biomass). Dissolved metal ions were the electron acceptors in the electrogenic mechanism: Cu 2+ and Fe 3+ under MFC mode and then Fe 2+ , Ni 2+ , and Sn 2+ under MEC mode.
RESULTSThe model predicted the organic substrate and microbial biomass (anode chamber) and Fe 3+ and Cu 2+ (cathode chamber) concentrations during MFC operation. Monod kinetic and stoichiometric parameters were calibrated, and it was observed that most of the organic substrate underwent a non-electrogenic mechanism. The generation of electric current until electron acceptors were removed was also predicted. Concentration profiles and first-rate constant values for the decreased Sn 2+ , Ni 2+ , and Fe 2+ concentrations during the subsequent MEC operation were also obtained. The model was then used for simulations under different experimental conditions. CONCLUSION: This work offers a single grey-box model proposal that is easy to implement, and it can be used as a practical tool for testing the removal of dissolved metals in BESs.