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A model for macromolecular selection in complementary instructing systems

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In this paper we consider a model for the selection and evolution of biological macromolecules when their reproduction is based on complementary instruction. The model is an extension of one of Eigen's models for selection and takes in account explicitly the formation of both single stranded and double stranded molecular complexes. We construct exact solutions to the rate equations for the case of constant rate parameters and error distributions. Criteria for selection are discussed.

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References

  1. Eigen, M.: Self-organization of Matter and the Evolution of Biological Macromolecules. Naturwiss. 58, 465–523 (1971).

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  2. Jones, B. L., Enns, R. H., Rangnekar, S. S.: On the Theory of Selection of Coupled Macromolecular Systems. Bull. Math. Bio. 38, 15–28 (1976).

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  3. Jones, B. L.: Analysis of Eigen's Equations for Selection of Biological Molecules with Fluctuating Mutation Rates. Bull. Math. Biol. (To be published, 1976.)

  4. Thompson, C. J., McBride, J. L.: On Eigen's Theory of the Self-Organization of Matter and the Evolution of Biological Macromolecules. Math. Biosciences 21, 127–142 (1974).

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Authors and Affiliations

  1. Department of Physics, Simon Fraser University, V5 A 1S6, Burnaby, British Columbia, Canada

    B. L. Jones

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  1. B. L. Jones
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Jones, B.L. A model for macromolecular selection in complementary instructing systems. J. Math. Biology 4, 29–34 (1977). https://doi.org/10.1007/BF00276350

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  • DOI: https://doi.org/10.1007/BF00276350

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