K3. A Mathematical Model for Optimization and Characterization of Fiber Optics Biosensor with Immobilized Enzyme

A mathematical model for optimization and characterization of fiber optics biosensor with immobilized enzyme is derivative. One of the most important parameter for determination of the fiber optics biosensor properties is the optimization of the response time. This mathematical model is based both on diffusion and kinetics processes using the Michaelis-Menten-Henri (MMH) mechanism. According to our mathematical model, the response time of the fiber optics biosensor depends on different parameters such as diffusion coefficient (D) , the membrane thickness (L), and the kinetic parameters Michaelis Menten constant (K_m) and maximum reaction rate (V_max). Also, the Damkohler number (D_a) can be calculated to provide a quick estimate of the degree of substrate conversion rate (X) that can be achieved in continuous flow systems. The theoretical results obtained from our mathematical model are compared with our published experimental results.