The One-Layer Monoenzyme Electrode

If the given classification is used, the simplest model of an amperometric sensor is that of a stationary single-layer monoenzyme electrode with linear reaction kinetics and electrode-active product, P (Schulmeister and Scheller, 1985a). 

(i = 1, 2, 3) denotes substances having no influence on the function of the enzyme electrode, n is the number of electrons exchanged in the electrochemical reaction. 

Provided the respective concentrations are in a range that permits linearization of the reaction term, a linear approach becomes applicable for nonlinear reaction kinetics (Schulmeister and Scheller, 1985a). The model then becomes  

These ordinary differential equations may easily be solved by using the formulas for undamped inhomogeneous oscillations (Kamke, 1956)  

The rate method may be modeled by the following system St-DsSa -kS, 

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