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

II. Transient behavior

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Abstract

In this paper we concentrate our attention on the stability and transient behavior of the isothermal system (CSTR) with a substrate-inhibited enzyme reaction producing hydrogen ions. Our investigation covers the region of multiple steady states uncovered previously (1) (ordinary hysteresis and isola). We investigate the local stability characteristics of the different steady states, the effect of the initial condition on the transient behavior and the response of the system to feed disturbances of various magnitudes and durations.

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References

  1. Elnashaie, S. S. E. H., Elrifaie, M. A., and Ibrahim, G. (1983),Appl. Biochem. Biotechnol. 8, 275 (1983).

    CAS  Google Scholar 

  2. Elrifaie, M. A., Elnashaie, S. S. E. H., and Gaber, A. H., “Heterogeneous modelling of particulate immobilised enzyme systems,” paper presented at the Colloque Intrenational Analyse et Regulation de Systemes a Enzymes Immobilises, Compiegne, France, 1975.

  3. Ibrahim, G., The Effect of Substrate Inhibition and Hydorgen Ions Concentration on the Behavior of Enzyme Membranes, MSc Thesis, Cairo University, 1981.

  4. Elrifaie, M. A., Elnashhaie, S. S. E. M., and Gaber, A. H. (1977),Chem. Eng. Sci. 32, 557.

    Article  Google Scholar 

  5. Glansdorff, P., and Prigogine, I.,Thermodynamic Theory of Structure Stability and Fluctuations”, Wiley-Interscience, 1978, p. 247.

  6. McGowin, C. R., “Stability Analysis of Distributed Parameter Chemical Reactors.” Thesis submitted in partial fulfillment of the PhD requirements, University of Pennsylvania, 1969.

  7. O'Neill, S. P., Lilly, M. D., and Rowe, P. N. (1971),Chem. Eng. Sci. 26, 173.

    Article  Google Scholar 

  8. O'Neill, S. P. (1971),Biotechnol. Bioeng. 12, 493.

    Article  Google Scholar 

  9. Bunow, B., and Colton, C. K. (1975),Biosystems 5, 160.

    Article  Google Scholar 

  10. Bunow, B., and Colton, C. K. (1974),Biotechnol. Bioeng. 4, 1.

    Google Scholar 

  11. Naparstek, A., Romette, J. L., Kernevez, J. P., and Thomas, D. (1974),Nature 249, 490.

    Article  CAS  Google Scholar 

  12. Aris, R.,Elementary Chemical Reactor Analysis, McGraw-Hill, New York, 1969, p. 60.

    Google Scholar 

  13. Badra, G., “Studies on the Steady State and Dynamic Behavior of Enzyme Systems,” MSc Thesis, Cairo University, 1978.

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Authors and Affiliations

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

    S. S. E. H. Elnashaie, M. A. Elrifaie, G. Ibrahim & G. Badra

Authors
  1. S. S. E. H. Elnashaie
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  2. M. A. Elrifaie
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  3. G. Ibrahim
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  4. G. Badra
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Elnashaie, S.S.E.H., Elrifaie, M.A., Ibrahim, G. et al. The effect of hydrogen ion on the steady-state multiplicity of substrate-inhibited enzymatic reactions. Appl Biochem Biotechnol 8, 467–479 (1983). https://doi.org/10.1007/BF02780380

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  • DOI: https://doi.org/10.1007/BF02780380

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