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The effect of hydrogen ion production on the steady-state multiplicity of substrate-inhibited enzymatic reactions

I. Steady-state considerations

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Abstract

The phenomenon of multiplicity is investigated for an isothermal continu ous stirred tank reactor (CSTR) in which an enzyme reaction producing hydrogen ions is taking place. The activity of the enzyme considered is sensitive to the hydrogen ion concentration and is inhibited by excess substrate. The enzyme is bound and the washout phenomenon is negligible.

The investigation has uncovered a new type of hysteresis, consisting of a closed curve on the multiplicity diagram, and is disconnected from the rest of the multiplicity curve. This phenomenon has also been observed and analyzed by Uppal et al. (1) in their investigation of the non-isothermal, non-adiabatic (CSTR), and they have termed those closed curves “Isolas.” In the present paper we have elucidated the physical reason for the occurrence of those “Isolas” for the enzymatic reaction under consideration. We have also investigated the effect of different parameters on the appearance, disappearance, and size of the “Isolas.”

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Authors and Affiliations

  1. Chemical Engineering Department, Cairo University, Cairo, Egypt

    S. S. E. H. Elnashaie, M. A. El-Rifai & G. Ibrahim

Authors
  1. S. S. E. H. Elnashaie
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  2. M. A. El-Rifai
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  3. G. Ibrahim
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Elnashaie, S.S.E.H., El-Rifai, M.A. & Ibrahim, G. The effect of hydrogen ion production on the steady-state multiplicity of substrate-inhibited enzymatic reactions. Appl Biochem Biotechnol 8, 275–288 (1983). https://doi.org/10.1007/BF02779495

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  • DOI: https://doi.org/10.1007/BF02779495

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