Mathematical modelling of exponential amplification in membrane-based enzyme sensors

Modelling amperometric enzyme electrode with substrate cyclic conversion

“…Dynamic response of these electrodes was analysed solving diffusion equations and using Green's function (Kulys et al, 1986). Further analysis of dual enzyme electrodes response was performed by Schulmeister and others (Schulmeister, 1987;Scheller et al, 1988;Sorochinskii and Kurganov, 1996;Schulmeister et al, 1997).…”

Modelling the biosensor utilising parallel substrates conversion

“…The biosensor response was simulated at the thickness d e = 10 À4 m of the enzyme layer and the concentration s 10 = 5 Â 10 À2 M of the first substrate. The concentrations of catalase and peroxidase were assumed equal, e 1 = e 2 = 10 À6 M. Values of the second substrate concentration s 20 varied from 10 À6 M to 10 À1 M. Values of the other parameters were as defined in (21).…”

“…Fig. 6 shows the half maximal effective concentration C 50 versus the dimensionless reaction rate n. The following three concentrations s 10 of the first substrate were analysed: 10 À3 , 3.16 Â 10 À3 and 10 À2 M. The dimensionless reaction rate n was varied in seven orders of magnitude by changing the values of e 1 and e 2 as defined in (21).…”

“…Only the firstorder reaction rates were considered in the first models [10,18,19]. Later non-linear mathematical models have been developed for amperometric two-enzyme biosensors with different enzymes [20][21][22].…”

Theoretical Analysis of an Amperometric Biosensor Based on Parallel Substrates Conversion

“…Mathematical modeling of two-enzyme biosensors has been started in 1980s with the modeling of an amperometric monolayer enzyme electrode with two coimmobilized enzymes [15,16]. Later, nonlinear mathematical models have been developed for amperometric two-enzyme biosensors with different enzymes [17,18].…”