BACKGROUND: The ASM3 extended for two-step nitrification-denitrification represents the most accurate model for the description of the activated sludge process with nitrate bypass nitrification-denitrification. This model includes 20 reaction rates, 15 state variables, and more than 35 parameters, which make its calculation costly and difficult to estimate. The lack of a fast and accurate model able to predict both concentration of nitrite and nitrate over time is the principal obstacle for efficient model-based optimization and model-based control.