“…Large numbers of studies have formulated mathematical models to illustrate the BF performance on the basis of different parameters which led to solve complex nonlinear equations of momentum, heat, and mass transfer, simultaneously [5][6][7][8]. Moreover, experimental determination of these parameters such as biological kinetic constants, diffusion of pollutants in biofilm, oxygen consumption and CO 2 production rates, probable change in the elemental composition of the attached biofilm, and mass transfer coefficients are so difficult, whereas, various points of views are discussed in literatures about batch or continuous determination of them [9][10][11][12]. A solution to this problem is to use a nonlinear modeling method that focuses on the simulation and prediction of the BF performance exclusively based on available data [13].…”