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Spectral properties of Eigen evolution matrices
Authors:David S. Rumschitzki
Affiliation:(1) Max-Planck-Institut für Biophysikalische Chemie, Am Faßberg, D-3400 Göttingen, Federal Republic of Germany;(2) Present address: Department of Chemical Engineering, City College of the City University of New York, Convent Avenue at 140th Street, 10031 New York, NY, USA
Abstract:Eigen [7] 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.
Keywords:Mutation-selection equation  Quasispecies
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