Selection dynamics in autocatalytic systems: Templates replicating through binary ligation
type: Item
instance of: scholarly article
title: Selection dynamics in autocatalytic systems: Templates replicating through binary ligation
zbMATH Open document ID: 0942.92015
author: Peter R. Wills
author: Stuart A. Kauffman
author: Bärbel M. R. Stadler
author: Peter F. Stadler
published in: Bulletin of Mathematical Biology
publication date: 1999-05-31T00:00:00Z
review text: The theory of autocatalytic binary ligation is reviewed within the context of a consistently applied Michaelis-Menten quasi-steady-state approximation to obtain explicit analytical results describing time-course data from experiments. A detailed protocol for the step-wise elucidation of a minimal set of experimental parameters is outlined. The kinetic equations are then generalized to cases of self- and cross-catalysis among an arbitrary number of different templates and applied to experiments involving just two templates. Depending on the values of various kinetic parameters such systems can display exclusionary Darwinian selection corresponding to an exponential growth law, selective coexistence or coexistence of all species characteristic of a parabolic growth law; the intermediate behaviour arises as a property of the full mechanism analysed here. Our results are applicable to the classical case of self-replicating nucleic acids and their analogues as well as to newly discovered self-replicating peptides.
Mathematics Subject Classification ID: 92C45
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 1293220
zbMATH Keywords: autocatalytic binary ligation
zbMATH Keywords: Michaelis-Menten quasi-steady-state approximation
zbMATH Keywords: Darwinian selection
zbMATH Keywords: self-replicating nucleic acids
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1293220