Biological evolution model with conditional mutation rates

被引：7

作者：

Saakian, David B. ^{[1
,2
]}

Ghazaryan, Makar ^{[3
,4
]}

Bratus, Alexander ^{[5
,6
]}

Hu, Chin-Kun ^{[1
,7
,8
]}

机构：

[1] Acad Sinica, Inst Phys, Taipei 11529, Taiwan

[2] AI Alikhanygn Natl Sci Lab, Yerevan Phys Inst Fdn, Alikhanian Bros St 2, Yerevan 375036, Armenia

[3] State Engn Univ Armenia, Teiyan St 105, Yerevan 375036, Armenia

[4] Yerevan State Univ, Alek Manougian 1, Yerevan 375036, Armenia

[5] Lomonosov Moscow State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

[6] Moscow State Univ Railway Engn, Dept Appl Math, Moscow 127994, Russia

[7] Natl Tsing Hua Univ, Natl Ctr Theoret Sci, Hsinchu 30013, Taiwan

[8] Univ Shanghai Sci & Technol, Sch Business, Shanghai 200093, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 474卷

基金：

俄罗斯基础研究基金会;

关键词：

Crow-Kimura model; Modulated mutation rates; Complex system; SELECTION; BEHAVIOR;

D O I：

10.1016/j.physa.2017.01.026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider an evolution model, in which the mutation rates depend on the structure of population: the mutation rates from lower populated sequences to higher populated sequences are reduced. We have applied the Hamilton-Jacobi equation method to solve the model and calculate the mean fitness. We have found that the modulated mutation rates, directed to increase the mean fitness. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：32 / 38

页数：7

共 47 条

[1] Replicators in a Fine-Grained Environment: Adaptation and Polymorphism [J].

Allahverdyan, Armen E. ;

Hu, Chin-Kun .

PHYSICAL REVIEW LETTERS, 2009, 102 (05)

[2]

[Anonymous], ADV CHEM PHYS

[3]

[Anonymous], J PHYS SOC JAPAN

[4]

[Anonymous], ARXIV150606559

[5]

[Anonymous], POLA FOREVER FESTSCH

[6] Ising quantum chain is equivalent to a model of biological evolution [J].

Baake, E ;

Baake, M ;

Wagner, H .

PHYSICAL REVIEW LETTERS, 1997, 78 (03) :559-562

[7] Mutation-selection models solved exactly with methods of statistical mechanics [J].

Baake, E ;

Wagner, H .

GENETICS RESEARCH, 2001, 78 (01) :93-117

[8] On Diffusive Stability of Eigen's Quasispecies Model [J].

Bratus, Alexander S. ;

Hu, Chin-Kun ;

Safro, Mikhail V. ;

Novozhilov, Artem S. .

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2016, 22 (01) :1-14

[9]

Butcher J. C., 2016, Numerical methods for ordinary differential equations

[10] Word population analysis and other evidences indicate that Shiji was amended by Liu Xiang [J].

Chi, Ting-Ting ;

Wang, Shih-Chieh ;

Hu, Chin-Kun .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 437 :408-417

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