Mathematical Modeling of Plate–gap Biosensors with an Outer Porous Membrane

A plate–gap model of a porous enzyme doped electrode covered by a porous inert membrane has been proposed and analyzed. The two–dimensional–in–space mathematical model of the plate–gap biosensors is based on the reaction–diffusion equations containing a nonlinear term related to the Michaelis–Menten kinetics. Using numerical simulation of the biosensor action, the influence of the geometry of the outer membrane on the biosensor response was investigated at wide range of analyte concentrations as well as of the reaction rates. The numerical simulation was carried out using finite–difference technique. The behavior of the plate–gap biosensors was compared with that of a flat electrode deposited with a layer of enzyme and covered with the same outer membrane.