Mathematical modeling of nitrification and organic matter oxidation processes in flow-through biosystem

We developed a mathematical model of biochemical processes occurring in the flow-through biosystems for the purpose of prediction and control of the above-mentioned processes. A wastewater treatment aeration tank is estimated as an example of such a system. We have considered a well-mixed continuous aeration tank divided into compartments. Vectors of current and initial states correspond to each compartment. The nitrification and organic matter oxidation mathematical model is proposed. Dynamics of the two types of aggregated substrates and related types of microorganisms are described by the system of nonlinear ordinary differential equations. The threshold functions are introduced in the right-hand side of the equations. This makes nitrification or oxidation of organic matter in the aeration tank possible. The industrial flow-though biosystem parametrical identification is a complex problem due to insufficient amount of experimental data. A scanning method is used to obtain a numerical solution to this problem. Perspectives of the further model development and ways of more precise parameters’ assessment are discussed.