Finite difference method for computational modeling of amperometric biosensors

A mathematical model of amperometric biosensors model is based on non-stationary diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reaction. Using digital simulation, the influence of the thickness of enzyme membrane on the biosensor current response was investigated. The digital simulation of the biosensor operation showed the non-monotonous change of the biosensor current response versus the membrane thickness at the maximal enzymatic rate. Digital simulation was carried out using the finite difference technique. It presents aframework for selection of the membrane thickness, ensuring the sufficiently stable sensitivity of a biosensor in a required range of the maximal enzymatic rate. The mathematical model (2)-(9) of amperometric biosensor operation can be successfully used to investigate the kinetic regularities of enzyme membrane-based sensors. The biosensor current is a non-monotonous function of membrane thickness d at a value of the maximal enzymatic rate. The biosensor current is a monotonous function of various values of the maximal enzymatic rate at substrate concentration S0 and membrane thickness d is held Constant. Consequently, the maximal biosensor current increases with increase of the maximal enzymatic rate Vmax. The higher maximal enzymatic rate Vmax corresponds to a greater maximum of the maximal biosensor current.(EMS2022)