Next Article in Journal
Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method
Previous Article in Journal
Hankel Determinants for New Subclasses of Analytic Functions Related to a Shell Shaped Region
Previous Article in Special Issue
Interference among Multiple Vibronic Modes in Two-Dimensional Electronic Spectroscopy
Open AccessArticle

A Dynamic Study of Biochemical Self-Replication

Department of Chemistry, Williams College, Williamstown, MA 01267, USA
Author to whom correspondence should be addressed.
The authors contributed equally to this work.
Mathematics 2020, 8(6), 1042;
Received: 3 May 2020 / Revised: 20 June 2020 / Accepted: 24 June 2020 / Published: 26 June 2020
(This article belongs to the Special Issue Advanced Mathematics for Physical Chemistry and Chemical Physics)
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. View Full-Text
Keywords: chemical self-replication; chemical oscillations; negative feedback; Poincare sections chemical self-replication; chemical oscillations; negative feedback; Poincare sections
Show Figures

Figure 1

MDPI and ACS Style

Gijima, D.T.; Peacock-López, E. A Dynamic Study of Biochemical Self-Replication. Mathematics 2020, 8, 1042.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop