{"title":"The Solution of the Smerlak’s Modification of the Eigen Model","authors":"V. Suvorov","doi":"10.1134/S154747712470167X","DOIUrl":null,"url":null,"abstract":"<p>The Eigen (quasispecies) model describes virus evolution via a system of nonlinear differential equations (nonlinear master equation). The model describes virus evolution, the origin of life, and some other phenomena of interdisciplinary research. Recently, M. Smerlak suggested a method by which these nonlinear models can be connected to Markov (linear) models. Here, we formulate Smerlak’s version of the Eigen model and solve the dynamics exactly at the large genome limit.</p>","PeriodicalId":730,"journal":{"name":"Physics of Particles and Nuclei Letters","volume":"21 6","pages":"1118 - 1123"},"PeriodicalIF":0.4000,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei Letters","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S154747712470167X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
The Eigen (quasispecies) model describes virus evolution via a system of nonlinear differential equations (nonlinear master equation). The model describes virus evolution, the origin of life, and some other phenomena of interdisciplinary research. Recently, M. Smerlak suggested a method by which these nonlinear models can be connected to Markov (linear) models. Here, we formulate Smerlak’s version of the Eigen model and solve the dynamics exactly at the large genome limit.
期刊介绍：
The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.
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