Abstract
In the first part of the paper a mathematical model of the enzyme-substrate electrode with a pO2 basic sensor was outlined. This model is used to simulate the dependencies of the measuring characteristics (calibration curve, measuring range, sensitivity, response time) on the design parameters (geometric arrangement, membrane properties, enzyme kinetic quantities) of an enzyme-based glucose sensor. The simulated and measured calibration curves are in good agreement with each other. With decreasing pO2 a stoichiometric limitation occurs, and the linear range of measurement is reduced. If catalase is co-immobilised together with glucose oxidase the oxygen consumption is halved and the measuring range is doubled. The infuences of the diffusion coefficients and of the specific enzyme activity on sensitivity and response time are simulated. The results are in good correspondence with the theoretical statements and the experimental results. The limits of the model are determined by its convergence properties.
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Abbreviations
- A :
-
area
- Bi :
-
mass transfer Biot number
- c :
-
concentration
- D :
-
diffusion coefficient
- F :
-
Faraday constant
- H :
-
height
- ΔI :
-
glucose-dependent sensor current
- K m :
-
Michaelis constant
- L :
-
thickness
- M G :
-
Thiele modulus
- n :
-
number of electrons
- \(\hat P\) :
-
permeability
- pO2 :
-
oxygen partial pressure
- R :
-
radius
- S :
-
Bunsen solubility coefficient
- V ij :
-
partition coefficient at the interface between the two adjacent phasesi andj
- v :
-
reaction rate
- V max :
-
maximum reaction rate per unit volume
- α:
-
solute partition coefficient
- γ:
-
stoichiometry factor
- \(\Phi _W \) :
-
volume fraction of free water
- Θ:
-
tortuosity factor
- 1:
-
boundary layer
- 2:
-
external coupling membrane
- 3:
-
reaction layer
- 4:
-
internal covering membrane of the basic sensor
- 5:
-
internal electrolyte layer
- B :
-
value in the bulk solution
- CAT :
-
cathode
- E :
-
external
- EL :
-
electrode
- G :
-
glucose
- I :
-
internal
- O :
-
oxygen
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Lemke, K. Mathematical simulation of an amperometric enzyme-substrate electrode with apO2 basic sensor. Med. Biol. Eng. Comput. 26, 533–540 (1988). https://doi.org/10.1007/BF02441922
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DOI: https://doi.org/10.1007/BF02441922