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Hierarchical Scale-Free Representation of Biological Realm—Its Origin and Evolution

  • Zhuravlev Yu.N.
  • Avetisov V.A.

Abstract

In this work we develop the concept of biological referents to analyze the origin of complexity of biological systems. The concept, as we demonstrate, can be formalized by classes of the objects which constitute hierarchic scale-free patterning at different levels of biological complexity. By this reason, ultrametric relationships between these classes are assumed to be relevant to the referent representation. To explore this idea, we realize particular formalization of the referent concept including construction of objects and classes, construction of ultrametric space of classes, and description of the ultrametric space by a field of p-adic numbers. We discuss how a notation “evolution” can be introduced through ultrametric formalism. An example of ultrametric evolutionary equations is presented. Finally, we demonstrate that different aspects of the origin and evolution of the Biosphere (such as macroevolution and development) being verified in the frame of the referent concept acquire new contours and interpretations.

Keywords

Species Concept Primary Element Biological Complexity Sign Carrier Ultrametric Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • Zhuravlev Yu.N.
    • 1
  • Avetisov V.A.
    • 1
  1. 1.Far Eastern BranchInstitute of Biology and Soil Science Russian Academy of SciencesVladivostokRussia

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