Search

This paper deals with an analysis of the electrochemical biosensors and their response to multi-component mixtures. The main task is to build a mathematical model for estimation the concentration of each mixture component from the biosensor response data. Two different types of biosensors: amperometric and potenciometric are analysed. Due to high dimensionality of biosensor output data the principal component analysis is applied. Additional multivariate analysis of variance is used to analyze the response sensitivity of each biosensor type. Finally a concentration estimation model based on ensemble of neural networks is presented.

This paper presents a one-dimensional-in-space mathematical model of the amperometric biosensor with porous membrane influenced by the presence of interfering species. The model is based on diffusion equations. Various effects regarding amperometric bias, caused by the presence of interfering species, have been analyzed.

This paper presents a one-dimensional-in-space mathematical model of the amperometric biosensors with substrate and product degeneration. The model is based on diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reactions. It was analyzed effect of substrate and product degeneration for the biosensors response.

A mathematical model of biosensor acting under parallel substrates conversion is investigated in this paper. Model consists of reaction-diffusion equations with non-linear terms, which in general case are solved numericaly. The mathematical model describes biosensor action in one-dimensional space, which consists of enzymatic, dialysis and diffusion layers. The purpose of this work was to define for which parameter values the layers of diffusion and dialysis membrane can be replaced by one external layer, described by the effective diffusion coefficient. The simulation error of two-layered model response was investigated by comparing it to the values of three-layered model response.

This paper presents a two-dimensional-in-space mathematical model of amperometric biosensors with perforated membrane. The model is based on the diffusion equations containing a non-linear term related to the Michaelis–Menten kinetics of the enzymatic reaction. The digital simulation was carried out using the finite difference technique. Using computer simulation of the biosensors action, the influence of the geometry of the perforated membrane on the biosensor response was investigated.

This paper presents a two-dimensional-in-space mathematical model of a sensor system based on an array of enzyme microreactors immobilised on a single electrode. The model is based on the diffussion equations containing a non-linear term related to the Michaelis–Menten kinetics of the enzymatic reaction. Using computer simulation the influence of the geometry of the enzyme microreactors on the biosensor response was investigated. The digital simulation was carried out using the finite difference technique.