On the behavior of consecutive enzymatic reactions in cyclically operated reactors

The dynamics of a process involving consecutive enzymatic reactions were investigated for a case in which the reactions are carried out in a cyclically operated reactor. Each cycle of the operation protocol involves three phases. During phase I the reactor operates in a semi-batch mode involving input of the reactants. During the second phase, the vessel operates in a batch mode. During phase III the reactor has an output only and a fraction of its contents are emptied before another identical cycle begins. It was found that there are regimes in the operating parameter space where the system can reach more than one limit cycle (multistability). Using computer software based on the bifurcation theory for forced systems, as well as one- and two-parameter continuation algorithms, the impact of various parameters on the dynamics of the system was investigated. The results are presented in the form of diagrams. Conditions under which formation of the intermediate product in the reaction sequence is maximized were also investigated. Production of the intermediate product in a limit cycle was compared to that obtained in batch and semi-batch operation. Implications of the proposed operation protocol for process optimization and pollution prevention are discussed.