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

@article{Semenov2015ExactSF, 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={2015}, volume={266}, pages={ 1-9 } }

## 12 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

### Rigorous Mathematical Analysis of the Quasispecies Model: From Manfred Eigen to the Recent Developments

- Environmental ScienceSTEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
- 2019

We review the major progress in the rigorous analysis of the classical quasispecies model that usually comes in two related but different forms: the Eigen model and the Crow–Kimura model. The model…

### 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

### 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.

### 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.

### La distribution de la quasi-espèce pour une population finie

- Philosophy
- 2016

Le concept de quasi-espece, introduit par Manfred Eigen dans les annees 70, decrit l'etat d'equilibre d'une population subissant des forces de mutation et selection. La plupart des modeles classiques…

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

- Materials ScienceJournal of Mathematical Biology
- 2018

The quasispecies model introduced by Eigen in 1971 has close connections with the isometry group of the space of binary sequences relative to the Hamming distance metric. Generalizing this…

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