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pro vyhledávání: '"Semenov, Yuri"'
Publikováno v:
In Journal of Asian Earth Sciences: X 1 December 2022 8
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 itself was formulated almost 50 years ago, and in i
Externí odkaz:
http://arxiv.org/abs/1712.03855
Autor:
Semenov, Yuri S., Novozhilov, Artem S.
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 observation we introduce an abstract quasispecies model on a
Externí odkaz:
http://arxiv.org/abs/1706.04253
Sewall Wright's adaptive landscape metaphor penetrates a significant part of evolutionary thinking. Supplemented with Fisher's fundamental theorem of natural selection and Kimura's maximum principle, it provides a unifying and intuitive representatio
Externí odkaz:
http://arxiv.org/abs/1705.01568
Autor:
Semenov, Yuri S., Novozhilov, Artem S.
Publikováno v:
Bulletin of Mathematical Biology, 78(5), 991-1038, 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 peaked landscape. A general, non permutation invariant q
Externí odkaz:
http://arxiv.org/abs/1503.03343
Akademický článek
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Autor:
Semenov, Yuri S., Novozhilov, Artem S.
We reformulate the eigenvalue problem for the selection--mutation equilibrium distribution in the case of a haploid asexually reproduced population in the form of an equation for an unknown probability generating function of this distribution. The sp
Externí odkaz:
http://arxiv.org/abs/1408.4417
We study general properties of the leading eigenvalue $\overline{w}(q)$ of Eigen's evolutionary matrices depending on the probability $q$ of faithful reproduction. This is a linear algebra problem that has various applications in theoretical biology,
Externí odkaz:
http://arxiv.org/abs/1405.6411
A particular case of the famous quasispecies model - the Crow-Kimura model with a permutation invariant fitness landscape - is investigated. Using the fact that the mutation matrix in the case of a permutation invariant fitness landscape has a specia
Externí odkaz:
http://arxiv.org/abs/1306.0111
Autor:
Semenov, Yuri S., Novozhilov, Artem S.
Publikováno v:
In Mathematical Biosciences August 2015 266:1-9