Biokinetic modeling of imperfect mixing in a chemostat an example of multiscale modeling

Researchers made significant efforts to develop biokinetic modeling of imperfect mixing in a chemostat. These researchers demonstrated that the mathematical model of the chemostat was formulated as a system of nonlinear algebraic equations (NLEs) that were to be solved by a single algorithm. The simple and uncomplicated model was solved with POLYMATH version 6.1 to obtain the solution of the SMSA problem. The model included four implicit NLEs that were obtained from the material balances. The POLYMATH model also provided complete documentation of the equations, the values of the constants, and the initial estimates used for the four unknown variables, such as S ₁, S ₂, X ₁, and X ₂. It was also found that parametric runs were carried out with the POLYMATH model by mutually changing the parameter values.