Linear algebra of the permutation invariant Crow-Kimura model of prebiotic evolution

DOI10.1016/j.mbs.2014.08.006zbMath1330.92084arXiv1306.0111OpenAlexW2963289259WikidataQ51051432 ScholiaQ51051432MaRDI QIDQ464501

Artem S. Novozhilov, Yuri S. Semenov, Alexander S. Bratus'

Publication date: 27 October 2014

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

Full work available at URL: https://arxiv.org/abs/1306.0111

zbMATH Keywords

error thresholdleading eigenvalueCrow-Kimura modelquasispecies modelsingle peaked fitness landscape

Mathematics Subject Classification ID

Problems related to evolution (92D15) Biochemistry, molecular biology (92C40) Special matrices (15B99)

Related Items (8)

On Eigen's quasispecies model, two-valued fitness landscapes, and isometry groups acting on finite metric spaces ⋮ Quasispecies on class-dependent fitness landscapes ⋮ The exact solution of the mutator model with directed mutations, linear fitness function, and finite genome length ⋮ Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model ⋮ Generalized quasispecies model on finite metric spaces: isometry groups and spectral properties of evolutionary matrices ⋮ On diffusive stability of Eigen's quasispecies model ⋮ Open quasispecies models: stability, optimization, and distributed extension ⋮ On the behavior of the leading eigenvalue of Eigen's evolutionary matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mutation, selection, and ancestry in branching models: a variational approach
• The selection mutation equation
• Spectral properties of Eigen evolution matrices
• Stationary mutant distributions and evolutionary optimization
• A linear algebra model for quasispecies
• Perturbation theory for linear operators.
• On the behavior of the leading eigenvalue of Eigen's evolutionary matrices
• Mutation-selection balance: ancestry, load, and maximum principle
• On the asymptotic behaviour of the solutions to the replicator equation
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• Ehrenfest urn models

This page was built for publication: Linear algebra of the permutation invariant Crow-Kimura model of prebiotic evolution