Abstract
A mathematical model of an amperometric biosensor with the substrate inhibition for steady-state condition is discussed. The model is based on the system of non-stationary diffusion equation containing a non-linear term related to non-Michaelis–Menten kinetics of the enzymatic reaction. This paper presents the analytical expression of concentrations and current for all values of parameters φ2s φ2s α and β . Here the Adomian decomposition method (ADM) is used to find the analytical expressions for substrate, product concentration and current. A comparison of the analytical approximation and numerical simulation is also presented. A good agreement between theoretical predictions and numerical results is observed.
Highlights
Biosensors are analytical devices which tightly combine biorecognition elements and physical transducer for detection of the target compounds
To the best of our knowledge, until now no rigorous analytical solution [9,10] has been reported for a steadystate substrate [11] and product concentration at the biosensor at mixed enzyme kinetics in the case of substrate inhibition [12,13,14]
We introduce the following set of dimensionless variables
Summary
Biosensors are analytical devices which tightly combine biorecognition elements and physical transducer for detection of the target compounds. An amperometric biosensor is a device used for measuring concentration of some specific chemical or biochemical substance in a solution [1,2]. Biosensors use specific biochemical reactions catalyzed by enzymes immobilized on electrodes. To the best of our knowledge, until now no rigorous analytical solution [9,10] has been reported for a steadystate substrate [11] and product concentration at the biosensor at mixed enzyme kinetics in the case of substrate inhibition [12,13,14]. In this paper we have arrived at an analytical expression corresponding to the concentration of substrate and product using ADM method for all values of reaction/diffusion parameters φs.
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