Abstract
The stability and, consequently, the lifetime of immobilized enzymes (IME) are important factors in practical applications of IME, especially so far as design and operation of the enzyme reactors are concerned. In this paper a model is presented which describes the effect of intraparticle diffusion on time stability behaviour of IME, and which has been verified experimentally by the two-substrate enzymic reaction. As a model reaction the ethanol oxidation catalysed by immobilized yeast alcohol dehydrogenase was chosen. The reaction was performed in the batch-recycle reactor at 303 K and pH-value 8.9, under the conditions of high ethanol concentration and low coenzyme (NAD+) concentration, so that NAD+ was the limiting substrate. The values of the apparent and intrinsic deactivation constant as well as the apparent relative lifetime of the enzyme were calculated.
The results show that the diffusional resistance influences the time stability of the IME catalyst and that IME appears to be more stabilized under the larger diffusion resistance.
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Abbreviations
- C A, CB, CE mol · m−3 :
-
concentration of coenzyme NAD+, ethanol and enzyme, respectively
- C p mol · m3 :
-
concentration of reaction product NADH
- d p mm:
-
particle diameter
- D eff m2 · s−1 :
-
effective volume diffusivity of NAD+ within porous matrix
- k d s−1 :
-
intrinsic deactivation constant
- K A, K′A, KB mol · m−3 :
-
kinetic constant defined by Eq. (1)
- K xA mol · m−3 :
-
kinetic constant defined by Eq. (5)
- r A mol · m−3 · s−1 :
-
intrinsic reaction rate
- R m:
-
particle radius
- R v mol · m−3 · s−1 :
-
observed reaction rate per unit volume of immobilized enzyme
- t E s:
-
enzyme deactivation time
- t r s:
-
reaction time
- V mol · m−3 · s−1 :
-
maximum reaction rate in Eq. (1)
- V x mol · m−3 · s−1 :
-
parameter defined by Eq. (4)
- V f m3 :
-
total volume of fluid in reactor
- w s kg:
-
mass of immobilized enzyme bed
- β :
-
factor defined by Eqs. (19) and (20)
- ϱ kg · m−3 :
-
density of immobilized enzyme bed
- ϰ:
-
unstableness factor
- η :
-
effectiveness factor
- φ :
-
Thiele modulus
- Θ :
-
relative half-lifetime of immobilized enzyme
- o :
-
values obtained with fresh immobilized enzyme
References
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Vasić-Rački, D., Gjumbir, M. Intraparticle mass-transfer resistance and apparent time stability of immobilized yeast alcohol dehydrogenase. Bioprocess Engineering 2, 59–63 (1987). https://doi.org/10.1007/BF00369524
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DOI: https://doi.org/10.1007/BF00369524