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Self-reproducing systems: structure, niche relations and evolution.

A A Sharov1

  • 1U.S.D.A. Forest Service, Northeastern Forest Experiment Station, Morgantown, WV 26505.

Bio Systems
|January 1, 1991
PubMed
Summary
This summary is machine-generated.

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This study defines self-reproducing systems using Petri nets, modeling them as ecosystems. It shows how potential systems become actual through reproduction, linking this to ecological niche dynamics and evolution.

Area of Science:

  • Theoretical computer science
  • Systems biology
  • Ecology

Background:

  • Formal definitions of self-reproducing systems are crucial for understanding complex biological and computational processes.
  • Petri nets offer a powerful graphical framework for modeling dynamic systems and their interactions.
  • Ecosystems can be viewed as complex networks of interacting components and ecological niches.

Purpose of the Study:

  • To propose a formal definition of self-reproducing systems using Petri nets.
  • To model these systems as ecosystems with ecological niches and trophic relations.
  • To explore the dynamics of potential and actual self-reproducing systems and their evolutionary implications.

Main Methods:

  • Utilizing Petri nets to formally define potential and actual self-reproducing systems.

Related Experiment Videos

  • Defining internal transitions within a subset of places in a Petri net.
  • Conceptualizing Petri nets as ecosystems with interconnected ecological niches.
  • Analyzing stationary dynamics and evolutionary changes in terms of niche composition.
  • Main Results:

    • A formal definition of potential self-reproducing systems based on increasing token counts via internal transitions.
    • An actual self-reproducing system is defined as one that compensates for component outflow through reproduction.
    • Demonstration that potential self-reproducing systems become actual in a suitable environment.
    • Characterization of Petri nets as ecosystems where stationary dynamics relate to filled niches and evolution to niche composition changes.

    Conclusions:

    • The proposed Petri net framework provides a formal basis for studying self-reproducing systems.
    • This approach offers a novel perspective on viewing computational and biological systems as ecosystems.
    • The theory of self-reproducing systems has significant potential applications in understanding biological evolution and complex system dynamics.