Mathematical modelling of the Phenol-Polyphenol Oxidase system for amperometric immobilized enzymes at spherical electrode

• The transport and dynamics of rotating disc electrodes for the CEC mechanism based on the phenol-polyphenol oxidase system are examined. • Using AGM, the coupled system of highly nonlinear reaction-diffusion equations was resolved. • Analytical expressions for the concentration and current under transitory conditions are estimated. • The closed-form amplification factor and sensitivity expression are acquired. This study theoretically investigates the substrate and product kinetics and diffusion characteristics in an amperometric biosensor. The Akbari Ganji method was used to analytically solve the nonlinear-coupled system of diffusion equations. The approximate analytical expressions for the substrate's and product's concentrations and the current response are presented for every feasible value of the diffusion and kinetic parameters. Closed-form analytical equations for the amplification factor, bioelectrode sensitivity, and associated current response are also developed. Using the Scilab/Matlab software, the numerical solution to this issue is also reported. A significant agreement between the analytical and numerical results was also obtained. Concentration of the substrate, product and sensitivity.