Tag Archives: quasispecies

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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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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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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