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Neutral Evolution of Mutational Robustness

Author

Listed:
  • Eric van Nimwegen
  • James P. Crutchfield
  • Martijn Huynen

Abstract

We introduce and analyze a general model of a population evolving over a network of selectively neutral genotypes. We show that the population's limit distribution on the neutral network is solely determined by the network topology and given by the principal eigenvector of the network's adjacency matrix. Moreover, the average number of neutral mutant neighbors per individual is given by the matrix spectral radius. This quantifies the extent to which populations evolve mutational robustness: the insensistivity of the phenotype of mutations. Since the average neutrality is independent of evolutionary parameters---such as, mutation rate, population size, and selective advantage---one can infer global statistics of neutral network topology using simple population data available from in vitro or in vivo evolution. Populations evolving on neutral networks of RNA secondary structures show excellent agreement with out theoretical predictions. Submitted to Proceedings of the National Academy of Science.

Suggested Citation

  • Eric van Nimwegen & James P. Crutchfield & Martijn Huynen, 1999. "Neutral Evolution of Mutational Robustness," Working Papers 99-03-021, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:99-03-021
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    Citations

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    Cited by:

    1. Stefano Ciliberti & Olivier C Martin & Andreas Wagner, 2007. "Robustness Can Evolve Gradually in Complex Regulatory Gene Networks with Varying Topology," PLOS Computational Biology, Public Library of Science, vol. 3(2), pages 1-10, February.
    2. James P Crutchfield & Sean Whalen, 2012. "Structural Drift: The Population Dynamics of Sequential Learning," PLOS Computational Biology, Public Library of Science, vol. 8(6), pages 1-12, June.
    3. Proulx, Stephen R., 2011. "The rate of multi-step evolution in Moran and Wright–Fisher populations," Theoretical Population Biology, Elsevier, vol. 80(3), pages 197-207.
    4. Campos, Paulo R.A & Adami, Christoph & Wilke, Claus O, 2002. "Optimal adaptive performance and delocalization in NK fitness landscapes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 304(3), pages 495-506.
    5. Capitán, José A. & Aguirre, Jacobo & Manrubia, Susanna, 2015. "Dynamical community structure of populations evolving on genotype networks," Chaos, Solitons & Fractals, Elsevier, vol. 72(C), pages 99-106.
    6. Elizabeth Aston & Alastair Channon & Charles Day & Christopher G Knight, 2013. "Critical Mutation Rate Has an Exponential Dependence on Population Size in Haploid and Diploid Populations," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-11, December.
    7. Tobias Sikosek & Erich Bornberg-Bauer & Hue Sun Chan, 2012. "Evolutionary Dynamics on Protein Bi-stability Landscapes can Potentially Resolve Adaptive Conflicts," PLOS Computational Biology, Public Library of Science, vol. 8(9), pages 1-17, September.

    More about this item

    Keywords

    Neutral evolution; mutational robustness; population dynamics;
    All these keywords.

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