Biological Cr(VI) removal coupled with biomass growth, biomass decay, and multiple substrate limitation

In this work, a mathematical model for the biological reduction of Cr(VI), carbon and nitrogen sources consumption, and biomass growth under fully aerobic conditions was developed. The model comprises three types of aerobic heterotrophic cells (non-growing cells, growing cells with chromate reductase activity, and growing cells that have lost the chromate reductase activity), and five soluble compounds (organic substrate, ammonia nitrogen, non-metabolizable soluble products, dissolved oxygen, and hexavalent chromium). Two processes are considered responsible for the reduction of Cr(VI). The first one is the reduction of Cr(VI) coupled with growth, the second process is coupled with the endogenous decay of the biomass. The model was calibrated using the results obtained in batch cultures in the absence of carbon and nitrogen sources, using different initial Cr(VI) concentrations (0–100 mgCr L −1), two carbon sources (cheese whey and lactose), and different initial nitrogen to carbon ratio (0–50 mgN gCOD −1). The calibrated model was used to calculate steady-state values of TSS, soluble COD, TAN and Cr(VI) in continuous systems, obtaining a good agreement with the experimental data. The model also accurately predicted the transient concentration of Cr(VI) as a function of time in response to step changes of the inlet Cr(VI) concentration in continuous systems. ▶ A mathematical model for the biological reduction of Cr(VI) coupled with carbon and nitrogen sources consumption, and biomass growth was developed. ▶ Model coefficients were obtained by adjusting the model to the results obtained in batch cultures under different conditions. ▶ The calibrated model was validated used to calculate steady-state values of TSS, soluble COD, TAN and Cr(VI) in continuous systems. ▶ The model also accurately predicted the transient concentration of Cr(VI) as a function of time in response to step changes of the inlet Cr(VI) concentration in continuous systems.