The kinetic equations (1) and (2) describe the reaction rates of free enzymes. During the immobilization process, a decrease in enzyme activity can be observed and is described by an efficiency factor ηeff. Remaining enzyme activity after immobilization for both FDH and ADH was determined to be 4 % of the respective free enzyme activity. Additionally, as described in literature, a loss of activity over time was observed for the FDH, significantly affecting the reaction rates. This time-dependent activity loss reaches values up to 68 % and is described in the model by the deactivation factor fdeac. The effective reaction rates for the dehydrogenases can be obtained after multiplying the respective kinetic equations with the enzyme mass, while considering the aforementioned activity losses, resulting in equation (3) for the ADH and equation (4) for the FDH respectively.