A mathematical study on non-linear differential equations in dual biosensor

Abstract

In this article, the mono-enzyme dual biosensor is used to describe the mathematical model. The reaction-diffusion equation defining the product and substrate is coupled to the reactions of the enzyme-catalyzed at time-independent and time-dependent conditions in this model. The Adomian Decomposition technique and q-Homotopy analysis technique are used to solve the non-linear system of R-D equations by finding a semi analytical solution. These semi-analytical solutions are compared to numerical simulations performed with MATLAB. In additional, the current density of the biosensor is analytically expressed. Current density is also shown graph- ically. The impacts of non-dimensional and dimensional parameters on the response of two biosensors are also evaluated.