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A Dynamic Study of Biochemical Self-Replication

Author

Listed:
  • Desire T. Gijima

    (Department of Chemistry, Williams College, Williamstown, MA 01267, USA
    The authors contributed equally to this work.)

  • Enrique Peacock-López

    (Department of Chemistry, Williams College, Williamstown, MA 01267, USA
    The authors contributed equally to this work.)

Abstract

As it is well understood, in biological systems, small regulatory motifs are present at all scales, thus looking at simple negative feedback loops give us some information of how autocatalytic systems may be affected by regulation. For a single template self-replication, we consider a plausible mechanism, which we reduce to a 2-variable dimensionless set of ordinary differential equations, (ODE). The stability analysis of the steady states allows us to obtain exact relations to describe two-parameter bifurcation diagrams. We include a negative feedback to the reactants input to study the effect of regulation in biochemical self-replication. Surprisingly, the simpler regulation has the largest impact on the parameter space.

Suggested Citation

  • Desire T. Gijima & Enrique Peacock-López, 2020. "A Dynamic Study of Biochemical Self-Replication," Mathematics, MDPI, vol. 8(6), pages 1-17, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:1042-:d:376657
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    References listed on IDEAS

    as
    1. David H. Lee & Kay Severin & Yohei Yokobayashi & M. Reza Ghadiri, 1997. "Emergence of symbiosis in peptide self-replication through a hypercyclic network," Nature, Nature, vol. 390(6660), pages 591-594, December.
    2. A. Luther & R. Brandsch & G. von Kiedrowski, 1998. "Surface-promoted replication and exponential amplification of DNA analogues," Nature, Nature, vol. 396(6708), pages 245-248, November.
    3. Alan Saghatelian & Yohei Yokobayashi & Kathy Soltani & M. Reza Ghadiri, 2001. "A chiroselective peptide replicator," Nature, Nature, vol. 409(6822), pages 797-801, February.
    4. Shao Yao & Indraneel Ghosh & Reena Zutshi & Jean Chmielewski, 1998. "Selective amplification by auto- and cross-catalysis in a replicating peptide system," Nature, Nature, vol. 396(6710), pages 447-450, December.
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