title: Spectral properties of Eigen evolution matrices.
abstract: Eigen has employed deterministic kinetic-like equations to describe macromolecular replication and mutation leading to selection. The solutions to these equations and their physically interesting properties depend upon the spectrum of a type of matrix appearing in those equations. Below we explicitly solve for the spectrum of a fairly general class of such matrices. These solutions are obtained recursively for equations describing macromolecules of any length v.
mesh_terms: D000818:Animals; D005075:Biological Evolution; D001699:Biometry; D007700:Kinetics; D008957:Models, Genetic; D009154:Mutation; D009711:Nucleotides; D012641:Selection, Genetic
chemical_list: D009711:Nucleotides