Transient stirred-tank reactors operating with immobilized enzyme systems: analysis and simulation models and their...

Area of Science:

• Biochemical Engineering
• Chemical Reaction Engineering
• Mathematical Modeling

Background:

• Heterogeneous enzymatic processes are crucial in biotechnology and chemical synthesis.
• Modeling immobilized enzyme reactors is complex due to coupled diffusion and reaction kinetics.
• Accurate models are needed for reactor design, analysis, and simulation.

Purpose of the Study:

• To formulate a general mathematical model for heterogeneous enzymatic processes in stirred-tank reactors.
• To develop unsteady-state design equations and diffusion-reaction equations for spherical catalyst particles.
• To provide a comprehensive overview of processes within immobilized enzyme reactor systems.

Main Methods:

• Developed a structured mathematical model incorporating unsteady-state design equations.
• Formulated the diffusion reaction equation for spherical catalyst particles using reversible Michaelis-Menten kinetics.
• Validated the model by comparing theoretical predictions with experimental data for immobilized beta-galactosidase.

Main Results:

• The model successfully describes heterogeneous enzymatic processes in stirred-tank reactors.
• It accurately predicts the behavior of immobilized enzyme systems, including diffusion and reaction.
• Experimental validation confirmed the model's predictive capabilities.

Conclusions:

• The developed mathematical model offers a robust framework for analyzing, designing, and simulating immobilized enzyme reactors.
• The model's generality allows for extension to various support geometries, enzyme kinetics, and reactor configurations.
• This work provides a valuable tool for optimizing enzymatic processes in biochemical engineering.