# Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model.

@article{Semenov2014ExactSF, title={Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model.}, author={Yuri S. Semenov and Artem S. Novozhilov}, journal={Mathematical biosciences}, year={2014}, volume={266}, pages={ 1-9 } }

## 14 Citations

### Dynamic properties in the four-state haploid coupled discrete-time mutation-selection model with an infinite population limit

- Biology
- 2017

The dynamic properties, such as the crossing time and time-dependence of the relative density of the four-state haploid coupled discrete-time mutation-selection model, were calculated with the…

### Quasispecies on Class-Dependent Fitness Landscapes

- MathematicsBulletin of mathematical biology
- 2016

Eigen’s quasispecies model in the asymptotic regime where the length of the genotypes goes to ∞ and the mutation probability goes to 0 is studied.

### Open quasispecies models: Stability, optimization, and distributed extension

- BiologyJournal of Mathematical Analysis and Applications
- 2020

### The generalised quasispecies

- Mathematics
- 2015

We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to ∞ and the mutation probability goes to 0. We give several explicit formulas for the stationary…

### On the behavior of the leading eigenvalue of Eigen's evolutionary matrices.

- MathematicsMathematical biosciences
- 2014

### On Eigen’s Quasispecies Model, Two-Valued Fitness Landscapes, and Isometry Groups Acting on Finite Metric Spaces

- MathematicsBulletin of mathematical biology
- 2016

An abstract generalization of Eigen’s model is introduced such that the sequences are identified with the points of a finite metric space X together with a group of isometries acting transitively on X.

### Quasispecies on Class-Dependent Fitness Landscapes

- Materials ScienceBulletin of Mathematical Biology
- 2016

We study Eigen’s quasispecies model in the asymptotic regime where the length of the genotypes goes to ∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…

### Generalized quasispecies model on finite metric spaces: isometry groups and spectral properties of evolutionary matrices

- MathematicsJournal of mathematical biology
- 2019

An abstract quasispecies model on a finite metric space X together with a group of isometries acting transitively on X, showing that if the domain of the fitness function has a natural decomposition into the union of tG-orbits, then the dominant eigenvalue of the evolutionary matrix satisfies an algebraic equation of degree at most.

### On Eigen’s Quasispecies Model, Two-Valued Fitness Landscapes, and Isometry Groups Acting on Finite Metric Spaces

- MathematicsBulletin of Mathematical Biology
- 2016

A two-valued fitness landscape is introduced for the classical Eigen’s quasispecies model. This fitness landscape can be considered as a direct generalization of the so-called single- or sharply…

### A DNA Damage-Repair Dynamic Model for HRS/IRR Effects of C.elegans Induced by Neutron Irradiation

- MedicineDose-Response
- 2021

It is suggested that the low dose hyper-radiosensitivity response of neutron irradiation may possible related to different radiation types and DNA damage recognition proteins and immune system of C. elegans.

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