Mathematical modelling of amperometric enzyme electrodes with perforated membranes

Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method

“…In the literature, mathematical models have been widely used as an important tool to study and optimize the analytical characteristics of actual biosensors [3]. Practical biosensors contain a multilayer enzyme membrane [4], the model biosensors containing the exploratory monolayer membrane are widely used to study the biochemical behavior of biosensors [3,5].…”

“…Practical biosensors contain a multilayer enzyme membrane [4], the model biosensors containing the exploratory monolayer membrane are widely used to study the biochemical behavior of biosensors [3,5]. Substrate inhibition is often regarded as a biochemical oddity and experimental annoyance.…”

Numerical Simulation Of Biochemical Behaviour Of Biosensors With Perforated Membrane

“…To improve the efficiency of biosensors design and to optimize the biosensors configuration a model of the real biosensor should be build (Ferreira et al 2003). The modelling of biosensors with perforated membrane has been performed by Schulmeister and Pfeiffer (1993). Very recently, an improved model taking into consideration the geometry of the membrane perforation has been proposed (Baronas et al 2006).…”

Mathematical modeling of biosensors: Enzyme-substrate interaction and biomolecular interaction

“…membrane has been already performed by Schulmeister and Pfeiffer (Schulmeister et al, 1993). The proposed one-dimensional-in-space (1-D) mathematical model does not take into consideration the geometry of the membrane perforation and it also includes effective diffusion coefficients.…”

“…The proposed one-dimensional-in-space (1-D) mathematical model does not take into consideration the geometry of the membrane perforation and it also includes effective diffusion coefficients. The quantitative value of diffusion coefficients is limited, for one dimensional model (Schulmeister et al, 1993). Recently, a two-dimensional-in-space (2-D) mathematical model has been proposed taking into consideration the perforation geometry (Baronas et al, 2006;Baronas, 2007).…”