Mathematical modeling and numerical simulation of a monolayer enzymatic amperometric biosensor: an application of the Finite Difference Method (FDM) approach

Abstract

Biosensors are a class of sensors aimed at carrying out measurements involving organic substances. These sensors have many advantages for use, ranging from miniaturization to portability of the equipment, thus enabling their use in an easy way and in a very wide range of locations. This work has the focus of evaluating the functioning of a monolayer enzymatic amperometric biosensor through a process of mathematical modeling of its working principle from Partial Differential Equations (PDEs) and the boundary/initial conditions that govern and characterize this type of equipment, the systems of equations created were solved based on the Finite Difference Method (FDM) techniques and with the aid of a computer code to provide the solution for the evaluated system. Finally, tests were simulated to evaluate the impacts that each factor plays on the system response, sensitivity tests were performed for each of its parameters, by means of a monolayer enzymatic amperometric biosensor. With the results, it was possible to observe the great impacts that factors such as the maximum enzymatic rate (V_MAX), the enzymatic layer thickness (d) and the initial concentration of the substrate (S₀) have on the system response, which are considered crucial in a project of biosensors.