Mathematical models as a tool to simplify the complexity of biochemical reactions and processes in the biological wastewater treatment systems become necessary to optimize the process designs or to troubleshoot problems at wastewater treatment plants as well as at the bench-scale in research. The models are generally required to be more practical for engineering applications while they are more flexible for research tools. The mathematical models are mainly divided into two major categories according to biological growth processes, i.e., suspended growth or attached growth. However, models may expand to include both types of these biological growths into one model such as an IFAS model.