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Sufficient conditions for emergent synchronization in protocell models.

T Carletti1, R Serra, I Poli

  • 1Département de Mathématique, Facultés Universitaires Notre Dame de la Paix, Rempart de la Vierge 8, B 5000 Namur, Belgium. timoteo.carletti@fundp.ac.be

Journal of Theoretical Biology
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Summary

This study explores protocell models, revealing that synchronized production of genetic material and containers is crucial for sustainable growth and evolution. New models with internal reactions and replicator interactions enhance understanding of this synchronization phenomenon.

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Area of Science:

  • Origin of Life Research
  • Theoretical Biology
  • Chemical Kinetics

Background:

  • Protocells are key to understanding the origin of life.
  • Synchronization of genetic material and container production is vital for protocell growth and evolution.
  • Previous models focused on surface reactions; internal reactions are less explored.

Purpose of the Study:

  • To investigate synchronization in protocell models with internal chemical reactions.
  • To analyze the impact of replicator interactions (catalysis/inhibition) on synchronization.
  • To develop a generalized analytical framework for protocell synchronization.

Main Methods:

  • Development of new protocell models with internal reaction dynamics.
  • Mathematical analysis of synchronization phenomena.
  • Numerical simulations to validate theoretical findings and explore complex scenarios.

Main Results:

  • Synchronization is achievable in protocell models with internal reactions.
  • Replicator interactions, including catalysis and inhibition, influence synchronization dynamics.
  • A general analytical solution for synchronization is provided for a broader class of models.

Conclusions:

  • Internal reaction sites and replicator interactions are significant factors in protocell synchronization.
  • The findings contribute to a deeper understanding of the emergence of life-like properties in protocells.
  • This work provides a theoretical foundation for future experimental studies on protocell evolution.