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RNA Space Shape Technology

Author

Listed:
  • Jan Cupal
  • Stephan Kopp
  • Peter F. Stadler

Abstract

The distinction between continuous and discontinuous transitions is a long-standing problem in the theory of evolution. Continuity being a topological property, we present a formalism that treats the space of phenotypes as a (finite) topological space, with a topology that is derived from the probabilities with which of one phenotype is accessible from another through changes at the genotypic level. The shape space of RNA secondary structures is used to illustrate this approach. We show that evolutionary trajectories are continuous if and only if they follow connected paths in phenotype space. Submitted to Alife Journal.

Suggested Citation

  • Jan Cupal & Stephan Kopp & Peter F. Stadler, 1999. "RNA Space Shape Technology," Working Papers 99-03-022, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:99-03-022
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    References listed on IDEAS

    as
    1. Peter F. Stadler & Rudi Seitz & Günter P. Wagner, 1999. "Evolvability of Complex Characters," Working Papers 99-01-001, Santa Fe Institute.
    2. Walter Fontana & Peter Schuster, 1998. "Continuity in Evolution: On the Nature of Transition," Working Papers 98-04-030, Santa Fe Institute.
    3. W. Fontana & P. Schuster, 1998. "Shaping Space: The Possible and the Attainable in RNA Genotype-Phenotype Mapping," Working Papers ir98004, International Institute for Applied Systems Analysis.
    4. W. Fontana & P. Schuster, 1998. "Continuity in Evolution: On the Nature of Transitions," Working Papers ir98039, International Institute for Applied Systems Analysis.
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    More about this item

    Keywords

    Genotype-phenotype map; RNA folding; finite topological space; continuity in evolution;
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