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Stochastic analysis of a nonlinear model for selection of biological macromolecules

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Abstract

A stochastic analysis of a nonlinear selection model is presented. The model, based on Eigen and Schuster's theory of selection and evolution of biological macromolecules, considers the effects of fluctuations on the individual concentrations of macromolecules as well as the total population numbers in constrained systems. Our analysis shows that one of the models most often treated deterministically (referred to as constant organization in the literature) becomes unstable when fluctuations in the total population number are considered. An alternative model which apparently has built in self-regulating properties is analyzed and proves to be stable except for some special cases of degeneracy.

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References

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Author notes

  1. H. K. Leung

    Present address: Physics Department, National Central University, 320, Chung-li, ROC Taiwan

Authors and Affiliations

  1. Department of Physics and Institute of Theoretical Science, Simon Fraser University, V5A 1S6, Burnaby, B. C., Canada

    B. L. Jones & H. K. Leung

Authors
  1. B. L. Jones
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  2. H. K. Leung
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Jones, B.L., Leung, H.K. Stochastic analysis of a nonlinear model for selection of biological macromolecules. Bltn Mathcal Biology 43, 665–680 (1981). https://doi.org/10.1007/BF02458416

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  • DOI: https://doi.org/10.1007/BF02458416

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