LAUSR

Mathematical modeling was performed of rhamnose production in a batch process, with model validation and optimization of a continuous fixed bed process. The batch experiments were performed for 72 h in a rotary incubator at 27 ± 1.0 °C and 120 rpm, with an initial inoculum concentration of 3 g/L in 150 mL of soy molasses at 100 g/L. Parameter determination was performed using multiple response nonlinear regression, with integration of a set of differential equations, employing the Runge–Kutta algorithm and application of the Contois model. The model was fitted to the experimental data and the sum of squared residuals was 47.61. The fitted parameters were validated in an experiment employing a column operated continuously at a flow velocity of 0.288 cm/h (flow rate of 0.02 mL/min), applying the plug flow reactor (PFR) and axial dispersion models. The optimal conditions were determined by the graphical assessment of the response variable behavior. The best validation results were obtained for the axial dispersion model. The optimum velocity was 0.3 cm/h, with less significant improvements in productivity at higher flow rates, for the substrate concentration range studied.