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

Figure 3

Dimensionless concentration of (a) oxidized mediator 𝐹_O (17), (b) substrate 𝐹_S (13), and (c) reduced mediator 𝐹_R (14) computed for some fixed values of parameters 𝐵_O=0.1, 𝐵_S=0.01, and 𝜇_S=0.05 and various values of Thiele modulus 𝜙²_O. Solid lines represent the analytical solution whereas the dotted lines represent the numerical solution. (i) 𝜙²_O=0.01 (𝑑=0.7878 μM). (ii) 𝜙²_O=1 (𝑑=7.878 μM). (iii) 𝜙²_O=25 (𝑑=39.39 μM). (iv) 𝜙²_O=100 (𝑑=78.80 μM). (v) 𝜙²_O=225 (𝑑=118.17 μM). (vi) 𝜙²_O=225 (𝑑=118.17 μM).

(a)

(b)

(c)