Analytical Expressions for Steady-State Concentrations of Substrate and Oxidized and Reduced Mediator in an Amperometric Biosensor

Table 1

Comparison of normalized analytical steady-state concentrations of oxidized mediator 𝐹_O (17) with the numerical results when 𝐵_O=0.1, 𝐵_S=0.01, and 𝜇_S=0.05 and for various values of 𝜙²_O.

𝜒	𝜙^2O=0.01			𝜙^2O=1			𝜙^2O=25			𝜙^2O=100			𝜙^2O=225
	(𝑑=0.7878 μM)			(𝑑=7.878 μM)			(𝑑=39.39 μM)			(𝑑=78.80 μM)			(𝑑=118.17 μM)
	(17)	Num	Error %	(17)	Num	Error %	(17)	Num	Error %	(17)	Num	Error %	(17)	Num	Error %
0	0.9999	1	0.01	0.9955	0.9955	0.00	0.8889	0.8889	0.00	0.5801	0.5773	0.46	0.1895	0.1908	0.69
0.2	0.9999	1	0.01	0.9957	0.9957	0.00	0.8933	0.8933	0.00	0.5965	0.5939	0.43	0.2197	0.2200	0.14
0.4	0.9999	1	0.01	0.9962	0.9962	0.00	0.9066	0.9066	0.00	0.6462	0.6440	0.34	0.3115	0.3101	0.45
0.6	0.9999	1	0.01	0.9971	0.9971	0.00	0.9288	0.9288	0.00	0.7295	0.7279	0.22	0.4686	0.4664	0.47
0.8	0.9999	1	0.01	0.9984	0.9984	0.00	0.9599	0.9599	0.00	0.9484	0.8471	0.85	0.6962	0.6947	0.21
1	1	1	0.0	1	1	0.00	1	1	0.00	1	1	0.00	1	1	0.00
	Average deviation		0.01	Average deviation		0.00	Average deviation		0.00	Average deviation		0.38	Average deviation		0.33