Theoretical analysis of steady-state two-compartmental amperometric biosensor with substrate and product inhibition kinetics
摘要
Theoretical two-compartment model of an amperometric biosensor with non-Michaelis-Menten kinetics is analyzed. The biosensor is composed of the enzyme membrane and external diffusion layers. The mathematical model is composed of the non-linear diffusion equations related to non-Michaelis-Menten kinetics. The semi-analytical expressions of the substrate and product concentrations in the membrane layer and diffusion layer are derived using the homotopy perturbation method. The numerical simulations are also presented and the obtained semi-analytical expression correlates well with the numerical simulation for all the parametric values of the model. The semi-analytical expressions for biosensor current, sensitivity and resistance are also presented. The obtained semi-analytical expressions are utilized to analyze the effect of the diffusion, reaction and kinetic parameters. These expressions can be helpful in monitoring the working of the two-layer amperometric biosensor.