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

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.