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Quantitative analysis of metabolic processes III. A model-system for enzyme synthesis by sequential induction and mathematical formulation of the process

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Abstract

A postulated scheme for sequential enzyme synthesis coupled with linear chain reaction is proposed. Mathematical calculations are carried out for the transient-state formation of enzyme coupled with enzyme-substrate reactions. Examples are presented to demonstrate the relations between various operational parameters during enzyme synthesis as a function of time. Significance of the phenomenon of sequential synthesis is discussed in relation to abnormal growth and cellular injury.

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Literature

  • Dixon, M., and E. C. Webb. 1958. Enzymes. New York: Academic Press.

    Google Scholar 

  • Heinmets, F. 1960. “An Analysis of the Concept of Cellular Injury and Death.”Int. J. Rad. Biol. 2, 341–352, 1960.

    Google Scholar 

  • Heinmets, F., and A. Herschman. 1960. “Quantitative Analysis of Metabolic Processes.”Phys. Med. Biol. 4, 238–253.

    Article  Google Scholar 

  • Krebs, H. A. 1947. “Cyclic Processes in Living Matter.”Enzymol. 12, 88–100.

    Google Scholar 

  • Pollock, M. R. 1959. In “The Enzymes,” p. 619, Academic Press Inc., New York, New York.

    Google Scholar 

  • Stanier, R. Y. 1947. “Simultaneous Adaptation: A New Technique for the Study of Metabolic Pathways.”J. Bact. 54, 339–348.

    Google Scholar 

  • — 1955. In “Aspects of Synthesis and Order of Growth,” p. 43, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • Suda, M., O. Hayaishi, and Y. Oda. 1950a. “Studies on Enzymatic Adaptation.”Med. J. Osaka Univ.,2, 21–31.

    Google Scholar 

  • Suda, M., and Y. Tokeda. 1950b. “Metabolism of Tyrosine.”Med. J. Osaka Univ.,2, 37–44.

    Google Scholar 

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Authors and Affiliations

  1. Pioneering Research Division, QM Research and Engineering Center, Natick, Massachusetts

    F. Heinmets & A. Herschman

  2. Department of Physics, Worcester Polytechnic Institute, Worcester, Massachusetts

    F. Heinmets & A. Herschman

Authors
  1. F. Heinmets
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  2. A. Herschman
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Heinmets, F., Herschman, A. Quantitative analysis of metabolic processes III. A model-system for enzyme synthesis by sequential induction and mathematical formulation of the process. Bulletin of Mathematical Biophysics 23, 69–89 (1961). https://doi.org/10.1007/BF02476575

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  • DOI: https://doi.org/10.1007/BF02476575

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