Skip to main content
Log in

Abstract mathematical molecular biology: II some relational consequences of the “one gene-one enzyme” hypothesis

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

Following the program outlined in a previous paper (Bull. Math. Biophysics,23, 237–260, 1961), a further abstract study is made of some simple relational systems which possess some properties of living organisms. It is shown that the “one gene-one enzyme” hypothesis leads to the conclusion that either all genes are built of the same chemical building blocks, or that at least all genes have a number of building blocks in common. A consistent relational application of the “one gene-one enzyme” hypothesis leads moreover to the conclusion that replication is not an inherent property of a gene. Rather there must be a set of enzymes which “copy” the genes. The number of enzymes in this set must be less than the number of genes and therefore the activity of those “copying” enzymes cannot be absolutely specific.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature

  • Markoff, A. A. 1954.Theory of Algorithms. (In Russian). Moscow: Acad. Sci. USSR. (English translation available through the Office of Technical Services, U. S. Department of Commerce, Washington 25, D. C.)

    Google Scholar 

  • Rashevsky, N. 1955. “Life, Information Theory, and Topology”.Bull. Math. Biophysics,17, 229–235.

    Article  MathSciNet  Google Scholar 

  • — 1960. “Life, Information Theory, Probability, and Physics”.Ibid.,22, 351–364.

    Article  MathSciNet  Google Scholar 

  • — 1960a.Mathematical Biophysics, 3rd edition, Vol. II. New York: Dover Publications, Inc.

    MATH  Google Scholar 

  • — 1961. “Abstract Mathematical Molecular Biology”.Bull. Math. Biophysics 23, 237–260.

    Article  MATH  MathSciNet  Google Scholar 

  • — 1962. “Mathematical Foundations of General Biology”.Annals N. Y. Acad. Sci.,96, Art. 4, 1105–1116.

    MATH  Google Scholar 

  • Rosen, R. 1959. “A Relational Theory of Biological Systems II”.Bull. Math. Biophysics,21, 109–128.

    Article  Google Scholar 

  • — 1960. “A Quantum-Theoretic Approach to Genetic Problems”.Bull. Math. Biophysics,22, 227–255.

    Article  Google Scholar 

  • — 1961. “On the Role of Chemical Systems in the Microphysical Aspects of Primary Genetic Mechanisms”.Ibid.,23, 393–403.

    Article  Google Scholar 

  • Trucco, E. 1956a. “A Note on the Information Content of Graphs”.Bull. Math. Biophysics,18, 129–135.

    Article  MathSciNet  Google Scholar 

  • — 1956b. “On the Information Content of Graphs: Compound Symbols; Different States for Each Point”.Ibid.,18, 237–253.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rashevsky, N. Abstract mathematical molecular biology: II some relational consequences of the “one gene-one enzyme” hypothesis. Bulletin of Mathematical Biophysics 24, 327–334 (1962). https://doi.org/10.1007/BF02477963

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02477963

Keywords

Navigation