Analytical expression of transient current-potential for redox enzymatic homogenous system

Mathematical modeling pertaining to the catalytic response of a redox enzymatic system is discussed. The model proposed herein describes the relationship between the electrochemical responses and the kinetic characteristics of the enzymatic reaction. The analytical expressions corresponding to the concentration of co-substrate for steady and non-steady state conditions have been obtained using a new approach to homotopy perturbation method (HPM). Analytical expressions of the plateau current are also presented for steady and non-steady state conditions. Upon comparison, we found that the analytical results of this work are in excellent agreement with the existing limiting case results. Further, the sensitivity of the parameter in transient current potential was also analyzed due to its importance in predicting the relationship between the input value of the parameter and the model results.

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