Voltammetric and Mathematical Analysis of Adsorption of Enzymes at Rotating Disk Electrode
R. Shanthi, T. Iswarya, J. Visuvasam, L. Rajendran, Michael E. G. Lyons
Abstract
The steady-state model of an enzyme monolayer adsorbed onto a rotating disc electrode is explored. This model is predicated on a nonlinear system of equations that consists of a nonlinear term related to the reaction rate. A new homotopy perturbation method and Taylor’s series approach are employed to derive two efficient and reliable analytical expressions for the concentration of adsorbed enzymes are obtained. The validity of the obtained closed-form results is established by direct comparison with numerical simulations generated by popular and highly accurate MATLAB routines. The derived analytical expression is then used to determine when concentrations attain their steady-state position.