Dynamics of Small Autocatalytic Reaction Network II: Replication, Mutation and Catalysis

1994/10/14 by Peter F. Stadler, Wolfgang Schnabl, Stadler, Peter F. +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #Origins and Evolution of Life #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9410001

49 pages uuencoded compressed poscript file (all figures included) - 490Kbyte

arxiv created 1994/10/14 · arxiv updated 2009/11/30

Abstract

Mutation is introduced into autocatalytic reaction networks. Examples of low dimensional dynamical systems --- n = 2, 3 and 4 --- are discussed and complete qualitative analysis is presented. Error thresholds known from simple replication-mutation kinetics with frequency independent replication rates occur here as well. Instead of cooperative transitions or higher order phase transistions the thresholds appear here as supercritical or subcritical bifurcations being analogous to first order phase transitions.

Related

• Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks
• Autocatalytic systems and recombination: a reaction network perspective
• Autocatalytic cores in the diluted regime:classification and properties
• Formation and Destruction of Autocatalytic Sets in an Evolving Network Model
• Discreteness-Induced Criticality in Random Catalytic Reaction Networks