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On the evolution of hypercycles.

Alexander S Bratus1, Sergei Drozhzhin2, Tatiana Yakushkina3

  • 1Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow 119992, Russia; Department of Applied Mathematics 1, Russian University of Transport, Moscow 127994, Russia.

Mathematical Biosciences
|September 16, 2018
PubMed
Summary
This summary is machine-generated.

Fitness landscape evolution in hypercycle systems enhances sustainability against parasites. Adaptation leads to a stable system with a phase transition, similar to an error threshold.

Keywords:
Error thresholdFisher’s theorem of natural selectionFitness landscapeHypercycle systemModel of evolutionParasites

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Area of Science:

  • Evolutionary biology
  • Theoretical ecology
  • Systems chemistry

Background:

  • The hypercycle model describes cooperative interactions essential for early life.
  • Understanding how these systems adapt to environmental changes and threats like parasites is crucial.
  • Fitness landscape evolution offers a framework to study adaptive processes.

Purpose of the Study:

  • To investigate the impact of fitness landscape evolution on hypercycle system stability.
  • To analyze how resource limitation and parasitic interactions affect hypercycle dynamics.
  • To identify adaptive mechanisms that promote system persistence.

Main Methods:

  • Modeling hypercycle system dynamics with evolving fitness landscapes.
  • Incorporating resource limitation as constraints on fitness matrix coefficients.
  • Analyzing the system's response to parasitic invasion under adaptive evolution.

Main Results:

  • Fitness landscape evolution promotes hypercycle system sustainability, even with parasites.
  • A phase transition, analogous to the Eigen model's error threshold, was observed.
  • Mean fitness and evolutionary parameters stabilize after the phase transition, indicating system adaptation.

Conclusions:

  • Adaptive evolution of fitness landscapes can rescue hypercycle systems from collapse due to parasites.
  • The observed phase transition signifies a critical point in system adaptation and structural change.
  • Evolving fitness landscapes provide a robust mechanism for maintaining biological complexity.