Mutation in autocatalytic reaction networks. An analysis based on perturbation theory.

Abstract excerpt

A class of kinetic equations describing catalysed and template induced replication, and mutation is introduced. This ODE in its most general form is split into two vector fields, a replication and a mutation field. The mutation field is considered as a perturbation of the replicator equation. The perturbation expansion is a Taylor series in a mutation parameter lambda. First, second and higher order contributions...

Topics

• Catalysis
• Mathematics
• Models, Genetic
• Mutation
• Polynucleotides