Tag Archives: Error threshold

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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New journal and another conference

Posted on March 11, 2014 by Artem Novozhilov

In May 17-18 I plan to be at Midwest Mathematical Biology Conference. My presentation will be on Crow-Kimura mutation-selection model. They offer to publish proceeding of the conference in a new  journal “Letters in Biomathematics” I think it might be a … 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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Presentation on mathematical modeling of biological evolution

Posted on October 31, 2012 by Artem Novozhilov

Here are the slides from my presentation at Physics Department in NDSU, on October 29. I will be talking about the same stuff this Friday, November 2d, at Junior Colloquium.

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Cooperative RNA replicators and the origin of life

Posted on October 24, 2012 by Artem Novozhilov

A recent Nature paper concerning cooperative networks of RNA molecules. Here is the abstract: The origins of life on Earth required the establishment of self-replicating chemical systems capable of maintaining and evolving biological information. In an RNA world, single self-replicating … Continue reading →

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A presentation on the Eigen model of prebiotic evolution

Posted on May 21, 2012 by Artem Novozhilov

We decided to devote the final seminar this year to the models of prebiotic evolution. I was opening the seminar (we had total of four presentations) with a very basic discussion of the Eigen model and its mathematical formulation. Here … Continue reading →

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Eigen’s theory and paramuse model

Posted on April 2, 2012 by Artem Novozhilov

This post is a continuation of this discussion of the error threshold. Consider a population of sequences of the length ; each sequence is composed from s and s, therefore there are different sequences. Consider the following mutation scheme: and … Continue reading →

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