Category Archives: Evolutionary theory

Another paper

Posted on March 26, 2016 by Artem Novozhilov

Our already long list of papers devoted to the analysis of a replicator equation became longer with a new paper by Alexander Bratus, Volodya Posvyanskii and myself, “Solutions with a bounded support promote permanence of a distributed replicator equation,” which … Continue reading →

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Eigen quasispecies model and isometry groups

Posted on March 25, 2016 by Artem Novozhilov

Quite some time ago Yura Semenov and I uploaded yet another paper on the quasispecies theory (this is a continuation of this research), here is an archive link. The title of the paper is “On Eigen’s quasispecies model, two-valued fitness … Continue reading →

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Group selection versus kin selection

Posted on November 7, 2014 by Artem Novozhilov

The group-selection dustup continues: E. O. Wilson calls Richard Dawkins a “journalist”

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Human Evolution in Scientific American

Posted on September 4, 2014 by Artem Novozhilov

The latest issue of Scientific American is specially devoted to the human evolution. A lot of interesting articles. Link

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Mathematical analysis of quasispecies model

Posted on August 21, 2014 by Artem Novozhilov

Finally I uploaded a third our paper on the analysis of quasispecies model. Here all the links together: Linear algebra of the permutation invariant Crow-Kimura model of prebiotic evolution (This text deals with the symmetric or permutation invariant fitness landscape and … Continue reading →

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Modeling biological evolution

Posted on June 4, 2014 by Artem Novozhilov

Here is the latest issue of Mathematical Modelling of Natural Phenomena devoted to the modeling of biological evolution: link This volume includes my (with co-authors) paper Replicator Equations and Space, which is somewhat different from the arXiv version in a few … Continue reading →

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More on quasispecies

Posted on May 27, 2014 by Artem Novozhilov

I uploaded to arXiv our paper On the behavior of the leading eigenvalue of Eigen’s evolutionary matrices. This is our second joint work with Yura Semenov and Alexander Bratus, both from Moscow, on the Eigen model. The first one was devoted … Continue reading →

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What does it mean to present “an exact solution” of the quasispecies model?

Posted on May 21, 2014 by Artem Novozhilov

This post is a continuation of many previous discussions, e.g., one, two. In a nutshell, the whole problem is to find the leading eigenvalue and the corresponding eigenvector of the eigenvalue problem where , is a positive parameter, , and … Continue reading →

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Eugene Koonin on evolution

Posted on November 2, 2013 by Artem Novozhilov

Here is a link to online version of Eugene’s lecture on the modern view on evolution (“modern” with a caveat that quite a number of well known biologists probably would not agree with some of the premises of the lecture). … Continue reading →

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

Posted on June 4, 2013 by Artem Novozhilov

I uploaded to arXiv our joint text with Alexander Bratus and Yuri Semenov: arXiv:1306.0111. The text gives an interesting (in my humble opinion, of course) prospective on the problem of the error threshold. Using the fact that the mutation matrix … Continue reading →

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