A Dynamic Study of Biochemical Self-Replication

Desire T. Gijima and Enrique Peacock-López
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Desire T. Gijima: Department of Chemistry, Williams College, Williamstown, MA 01267, USA
Enrique Peacock-López: Department of Chemistry, Williams College, Williamstown, MA 01267, USA

Mathematics, 2020, vol. 8, issue 6, 1-17

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.

Keywords: chemical self-replication; chemical oscillations; negative feedback; Poincare sections (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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