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Spectral properties of Eigen evolution matrices.

D S Rumschitzki
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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.

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AnimalsBiological EvolutionBiometryKineticsModels, GeneticMutationNucleotidesSelection, GeneticJournal Article

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D S Rumschitzki. 1987. Spectral properties of Eigen evolution matrices.. https://doi.org/10.1007/bf00275509

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