The influence of mutation on autocatalytic reaction networks

DOI10.1016/0025-5564(94)90055-8zbMath0807.92008OpenAlexW2055591704WikidataQ47855573 ScholiaQ47855573MaRDI QIDQ1336347

Peter F. Stadler, Juan Carlos Nuño

Publication date: 24 October 1994

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(94)90055-8

zbMATH Keywords

perturbation approachdegradationSchlögl's modelEigen's \(Q\) matrixEigen's quasi-species modelerror-prone replicationfirst-order selection-mutation equationhypercycle modelreplication-mutation processsecond-order kineticsself-replicating macromoleculesuniform cooperation model

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items (5)

Lifetimes of small catalytic networks ⋮ Dynamics of small autocatalytic reaction networks. II: Replication, mutation and catalysis ⋮ Autocatalytic networks with translation ⋮ MOLECULAR REPLICATOR DYNAMICS ⋮ Strictly dominated strategies in the replicator-mutator dynamics

Cites Work

• Unnamed Item
• Stable periodic solutions for the hypercycle system
• The selection mutation equation
• Spectral properties of Eigen evolution matrices
• Mass action kinetics of selfreplication in flow reactors
• Mutation in autocatalytic reaction networks. An analysis based on perturbation theory
• A model of an autocatalytic network formed by error-prone self- replicative species
• Non-uniformities and superimposed competition in a model of an autocatalytic network formed by error-prone self-replicative species
• Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles
• Dynamics of small autocatalytic reaction networks. II: Replication, mutation and catalysis
• Complex dynamics of a catalytic network having faulty replication into error-species
• Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems
• On the occurrence of limit cycles in the Volterra-Lotka equation

This page was built for publication: The influence of mutation on autocatalytic reaction networks