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Computer simulation of the steady state currents at enzyme doped carbon paste electrodes

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Abstract

The plate-gap model of porous enzyme doped electrode has been proposed and analyzed. It was suggested that reaction diffusion conditions in pores of bulk electrode resemble particular conditions in thin gap between parallel conducting plates. The model is based on the diffusion equations containing a nonlinear term related to the Michaelis–Menten kinetic of the enzymatic reaction inside gap. Steady state current was calculated for the wide range of given parameters and substrate concentrations. All dependences of current on substrate concentration were approximated by hyperbolas in order to obtain “apparent” parameters (maximal currents and apparent Michaelis constants) of modelled biosensors. Simple approximate relationships between given and apparent parameters were derived. The applicability of theoretical plate-gap model was tested for the case of carbon paste electrodes which were doped with PQQ – dependent glucose dehydrogenase. It was found, that soluble glucose dehydrogenase based biosensors exhibit characteristic features of the theoretical plate-gap biosensors.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225, Vilnius, Lithuania

    F. Ivanauskas & I. Kaunietis

  2. Institute of Biochemistry, Mokslininku 12, 08662, Vilnius, Lithuania

    V. Laurinavičius, J. Razumienė & R. Šimkus

Authors
  1. F. Ivanauskas
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  2. I. Kaunietis
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  3. V. Laurinavičius
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  4. J. Razumienė
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  5. R. Šimkus
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Correspondence to R. Šimkus.

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Ivanauskas, F., Kaunietis, I., Laurinavičius, V. et al. Computer simulation of the steady state currents at enzyme doped carbon paste electrodes. J Math Chem 38, 355–366 (2005). https://doi.org/10.1007/s10910-005-5825-6

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  • DOI: https://doi.org/10.1007/s10910-005-5825-6

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