Analytical expression of transient and steady-state catalytic current of mediated bioelectrocatalysis

Mediated bioelectrocatalysis is very useful to build bioreactors, biofuel cells and it can also be employed for measuring enzyme kinetics and protein redox potentials. Mathematical modeling of a mediated bioelectrocatalysis has been discussed. An analytical expression of the concentration of mediated bioelectrocatalysis for the steady- and non-steady-state conditions have been derived using Danckwerts’ expression and new approach to homotopy perturbation method. Here the concentration of substrate is sufficiently higher than the Michaelis constant and the redox reaction of a mediator is obeying the Nernst equation at an electrode surface. The analytical expressions of steady- and non-steady-state catalytic current are also reported. Our analytical results are compared with previous limiting case results and satisfactory agreement is noted.