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Random Selection and the Neutral Theory — Sources of Stochasticity in Replication

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Book cover Stochastic Phenomena and Chaotic Behaviour in Complex Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 21))

Abstract

Three internal sources of stochasticity in polynucleotide replication are discussed together with a survey of experimental data. Replication is visualized as a multi-type branching process. In case of kinetic degeneracy — when the kinetic parameters are the same for all replicating elements — the replicating system can be analysed as a stochastic process which consists of simultaneous, but independent linear birth and death processes. Then, we were able to derive analytical expressions for the occurence of random selection in mathematical model systems. Some models are discrete, some continuous in time. Random selection may be described in terms of “sequential extinction times” which represent a special class of first passage times. Simple expressions are obtained also for the probabilities of gene fixation in asexually multiplying populations.

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Authors and Affiliations

  1. Institut für Theoretische Chemie und Strahlenchemie, Universität Wien, Währinger Straße 17, Wien, A-1090, Austria

    P. Schuster & K. Sigmund

  2. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, Wien, A-1090, Austria

    P. Schuster & K. Sigmund

Authors
  1. P. Schuster
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  2. K. Sigmund
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Chemie und Strahlenchemie, Universität Wien, Währinger Straße 17, Wien, A-1090, Austria

    Peter Schuster

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© 1984 Springer-Verlag Berlin Heidelberg

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Schuster, P., Sigmund, K. (1984). Random Selection and the Neutral Theory — Sources of Stochasticity in Replication. In: Schuster, P. (eds) Stochastic Phenomena and Chaotic Behaviour in Complex Systems. Springer Series in Synergetics, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69591-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-69591-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-69593-3

  • Online ISBN: 978-3-642-69591-9

  • eBook Packages: Springer Book Archive

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