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Strategy for the simulation of batch reactors when the enzyme-catalyzed reaction is accompanied by enzyme deactivation

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Abstract

The balance equations pertaining to the modelling of batch reactors performing an enzyme-catalyzed reaction in the presence of enzyme deactivation are developed. The functional form of the solution for the general situation where both the rate of the enzyme-catalyzed reaction and the rate of enzyme deactivation are dependent on the substrate concentration is obtained, as well as the condition that applies if a maximum conversion of substrate is sought. Finally, two examples of practical interest are explored to emphasize the usefulness of the analysis presented.

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Abbreviations

C E mol/m3 :

concentration of active enzyme

C E,O mol/m3 :

initial concentration of active enzyme

C S mol/m3 :

concentration of substrate

C S,O mol/m3 :

initial concentration of substrate

C S,min mol/m3 :

minimum value for the concentration of substrate

k 1/s:

first order rate constant associated with conversion of enzyme/substrate complex into product

k 1 1/s:

first order deactivation constant of enzyme (or free enzyme)

k 2 1/s:

first order deactivation constant of enzyme in enzyme/substrate complex form

K m mol/m3 :

Michaelis-Menten constant

p mol/(m3s):

time derivative of C S

q mol/m3 :

auxiliary variable

t s:

time elapsed after reactor startup

φ 1/s:

univariate function expressing the dependence of the rate of enzyme deactivation on C S

ζ mol/m3 :

dummy variable of integration

ξ mol/m3 :

dummy variable of integration

ψ 1/s:

univariate function expressing the dependence of the rate of substrate depletion on C S

ψ′ m3/(mol s):

derivative of ψ with respect to C S

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Authors and Affiliations

  1. Escola Superior de Biotecnologia, Universidade Católica Portuguesa, Rua Dr. António Bernardino de Almedia, 4200, Porto, Portugal

    F. X. Malcata

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  1. F. X. Malcata
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Malcata, F.X. Strategy for the simulation of batch reactors when the enzyme-catalyzed reaction is accompanied by enzyme deactivation. Bioprocess Engineering 11, 23–28 (1994). https://doi.org/10.1007/BF00369611

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  • DOI: https://doi.org/10.1007/BF00369611

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