1988
DOI: 10.2116/analsci.4.133
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Theory of Catalytic Current at the Biocatalyst Electrode with Entrapped Mediator

Abstract: A mathematical model of a biocatalyst electrode with entrapped mediator is presented. Differential equations describing the diffusion of the substrate and mediator coupled with the enzyme reaction in the immobilized enzyme layer adjacent to the electrode surface are numerically solved to simulate the dependence of the steady-state current, I, on the concentration of the substrate at the surface of the enzyme layer, ics, and on the concentration of the mediator entrapped in the enzyme layer, CM. The numerical s… Show more

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Cited by 40 publications
(16 citation statements)
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“…A number of sophisticated mathematical models of the behavior of enzymes immobilized in surface layers have been described [20,[53][54][55][56]. These complex analyses are often needed to understand and optimize the behavior of thick and/or conducting films [57], and have been used, for example, to determine the site of H 2 O 2 oxidation in polypyrrole-based biosensors [39].…”
Section: Resultsmentioning
confidence: 99%
“…A number of sophisticated mathematical models of the behavior of enzymes immobilized in surface layers have been described [20,[53][54][55][56]. These complex analyses are often needed to understand and optimize the behavior of thick and/or conducting films [57], and have been used, for example, to determine the site of H 2 O 2 oxidation in polypyrrole-based biosensors [39].…”
Section: Resultsmentioning
confidence: 99%
“…The Is value measured at -0.2 V increased linearly with increasing cI,, up to 0.5 mM, at which concentration a downward deviation was appreciable, as in the case of Figure 6. In the NOD electrode with a large amount of NOD, the effect of the diffusional process of the substrate in the enzyme layer and the membrane layer is expected to be significant, which leads to an extended linear range [15][16][17]. The response time of the electrode was 30 s, which was somewhat longer than that of the NOD electrode used in the previous section ( Figure 4).…”
Section: A Film-nod-cp(q)e As An Amperometricmentioning
confidence: 85%
“…Thus, theories of bioelectrocatalysis [15][16][17] and polarographic catalytic current [18][19][20] can be used to elucidate the experimental data, which predict a saturation tendency of the catalytic current with increasing concentration of the mediator as is observed in Figure 3. When the reaction between BQH, and ES, is the rate-determining step of reaction 2 , that is, when cw.…”
Section: Results and Discusson Eleclrocbemical Redm Reaction Of Bq Inmentioning
confidence: 99%
“…In any case, noting that tanh σ ≈ 1 when σ > 2, Eq. (1) in the present case is simplified to 18,20 Thus, the same expression as that of BOD in solution,…”
Section: Theoretical Considerationsmentioning
confidence: 99%