Theoretical analysis of putrescine enzymatic biosensor with optical oxygen transducer in sensitive layer using Akbari–Ganji method

Abstract

This article reports a theoretical analysis of the reaction-transport processes of the Putrescine enzymatic biosensor inside the sensitive layer under steady-state conditions. It consists of two substrates with the same reaction rate and depends on non-linear reaction-diffusion equations. A simple approximate analytical expression for the concentration of substrates (Putrescine and Oxygen) and current are obtained analytically using the Akbari-Ganji and homotopy analysis method. Further, the resistance and sensitivity of a biosensor are also determined using the current. The numerical simulation of the problem is presented in this study using the Matlab program. Comparing analytical results with simulation results for the experimental parameter values has shown satisfactory agreement. Also, the effect of the parameters on current is investigated using sensitivity analysis. The most crucial factor affecting current is the sensing layer's oxygen concentration, followed by the kinetics and transport parameters. However, the reciprocal of the square of the Thiele modulus and the putrescine concentration in the sensing layer has the most negligible impact. Our obtained results are useful in optimizing and designing biosensors.