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
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
收藏
页码:32 / 38
页数:7
相关论文
共 47 条
[11]   The variant call format and VCFtools [J].
Danecek, Petr ;
Auton, Adam ;
Abecasis, Goncalo ;
Albers, Cornelis A. ;
Banks, Eric ;
DePristo, Mark A. ;
Handsaker, Robert E. ;
Lunter, Gerton ;
Marth, Gabor T. ;
Sherry, Stephen T. ;
McVean, Gilean ;
Durbin, Richard .
BIOINFORMATICS, 2011, 27 (15) :2156-2158
[12]   SELFORGANIZATION OF MATTER AND EVOLUTION OF BIOLOGICAL MACROMOLECULES [J].
EIGEN, M .
NATURWISSENSCHAFTEN, 1971, 58 (10) :465-+
[13]  
Ghazaryan M, 2015, CHINESE J PHYS, V53
[14]   Mutation-selection balance: Ancestry, load, and maximum principle [J].
Hermisson, J ;
Redner, O ;
Wagner, H ;
Baake, E .
THEORETICAL POPULATION BIOLOGY, 2002, 62 (01) :9-46
[15]   Historical Review on Analytic, Monte Carlo, and Renormalization Group Approaches to Critical Phenomena of Some Lattice Models [J].
Hu, Chin-Kun .
CHINESE JOURNAL OF PHYSICS, 2014, 52 (01) :1-76
[16]  
Kirakosyan Z, 2012, CHINESE J PHYS, V50, P101
[17]   Noise dressing of financial correlation matrices [J].
Laloux, L ;
Cizeau, P ;
Bouchaud, JP ;
Potters, M .
PHYSICAL REVIEW LETTERS, 1999, 83 (07) :1467-1470
[18]   The Cellular, Developmental and Population-Genetic Determinants of Mutation-Rate Evolution [J].
Lynch, Michael .
GENETICS, 2008, 180 (02) :933-943
[19]   Crossover behavior of stock returns and mean square displacements of particles governed by the Langevin equation [J].
Ma, Wen-Jong ;
Wang, Shih-Chieh ;
Chen, Chi-Ning ;
Hu, Chin-Kun .
EPL, 2013, 102 (06)
[20]  
Ma WJ, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.026101