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Economic evaluation of the hydrolysis of lactose using immobilized β-galactosidase

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Abstract

A computer program for preliminary cost estimates of free and immobilized enzyme systems has been developed. The cost for the hydrolysis of lactose by β-galactosidase fromAspergillus oryzae has been calculated for a batch tank reactor, with free (BTRF) and immobilized (BTRI) enzymes, a continuously stirred tank reactor (CSTR) and a plug-flow tubular reactor (PFTR), considering the mass transfer behavior and deactivation of the enzyme.

Enzyme immobilization is economically feasible, compared with a system with free enzymes, despite a very high cost for the enzyme attachment. At a half-life time of 80 d, the PFTR gives the lowest cost (0.48 SEK/kg lactose), but the cost for the BTRI is just slightly higher (0.66 SEK/kg lactose) and still much lower than the BTRF (2.10 SEK/kg lactose).

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Abbreviations

Bi:

Biot number=kext-R/Des(-)

c:

dimensionless concentration of lactose

Des :

effective diffusion coefficient for lactose (m2/s)

Dep :

effective diffusion coefficient for galactose (m2/s)

E:

enzyme concentration (kg/m3)

I:

inhibitor (galactose) concentration (kg/m3)

Km :

Michaelis-Menten constant (kg lactose/m3)

K1 :

inhibitor constant (kg galactose/m3)

k:

rate constant (kg lactose/kg/s)

kext :

mass transfer coefficient (m/s)

R:

radius of bead (m)

rs :

reaction rate rate (kg/m3/s)

r:

dimensionless radial distance within bead ( - )

S:

concentration of lactose (kg/m3)

t:

time (s)

subscript i:

interface between bead and external liquid

δ:

quotient = Des/Dep

Ø:

Thiele module = (k-E-R2/Des/km)0.5; γ

1 :

dimensionless constant = Sb/Km

γ2 :

dimensionless constant=Ib/Km

γ3 :

dimensionless constant =Sb/Ki

η:

effectiveness factor, defined by Eq. (5)

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Authors and Affiliations

  1. Department of Chemical Engineering 1, University of Lund, PO Box 124, S- 221 00, Lund, Sweden

    Anders Axelsson & Guido Zacchi

Authors
  1. Anders Axelsson
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  2. Guido Zacchi
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Axelsson, A., Zacchi, G. Economic evaluation of the hydrolysis of lactose using immobilized β-galactosidase. Appl Biochem Biotechnol 24, 679–693 (1990). https://doi.org/10.1007/BF02920288

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  • DOI: https://doi.org/10.1007/BF02920288

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