The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
Journal
PLoS computational biology
ISSN: 1553-7358
Titre abrégé: PLoS Comput Biol
Pays: United States
ID NLM: 101238922
Informations de publication
Date de publication:
10 2021
10 2021
Historique:
received:
25
05
2021
accepted:
06
10
2021
revised:
08
11
2021
pubmed:
28
10
2021
medline:
15
12
2021
entrez:
27
10
2021
Statut:
epublish
Résumé
The study of evolutionary dynamics on graphs is an interesting topic for researchers in various fields of science and mathematics. In systems with finite population, different model dynamics are distinguished by their effects on two important quantities: fixation probability and fixation time. The isothermal theorem declares that the fixation probability is the same for a wide range of graphs and it only depends on the population size. This has also been proved for more complex graphs that are called complex networks. In this work, we propose a model that couples the population dynamics to the network structure and show that in this case, the isothermal theorem is being violated. In our model the death rate of a mutant depends on its number of neighbors, and neutral drift holds only in the average. We investigate the fixation probability behavior in terms of the complexity parameter, such as the scale-free exponent for the scale-free network and the rewiring probability for the small-world network.
Identifiants
pubmed: 34705822
doi: 10.1371/journal.pcbi.1009537
pii: PCOMPBIOL-D-21-00972
pmc: PMC8575310
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
e1009537Subventions
Organisme : CIHR
Pays : Canada
Déclaration de conflit d'intérêts
The authors have declared that no competing interests exist.
Références
Oncogenesis. 2016 Jan 25;5:e190
pubmed: 26807645
Sci Rep. 2017 Jul 12;7(1):5193
pubmed: 28701726
Proc Biol Sci. 2013 May 15;280(1762):20130211
pubmed: 23677339
Nature. 2005 Jan 20;433(7023):312-6
pubmed: 15662424
Nonlinear Biomed Phys. 2007 Jul 05;1(1):3
pubmed: 17908336
PLoS Comput Biol. 2020 Jan 17;16(1):e1007494
pubmed: 31951609
Nat Rev Cancer. 2020 Mar;20(3):187-198
pubmed: 31932757
Science. 1999 Oct 15;286(5439):509-12
pubmed: 10521342
Theor Popul Biol. 2010 Aug;78(1):54-66
pubmed: 20488197
PLoS Comput Biol. 2017 Nov 27;13(11):e1005864
pubmed: 29176825
Sci Rep. 2015 Oct 19;5:15211
pubmed: 26477392
Chaos. 2018 Jun;28(6):063113
pubmed: 29960414
Nature. 1998 Jun 4;393(6684):440-2
pubmed: 9623998
Evolution. 1981 May;35(3):477-488
pubmed: 28563585
Phys Rev E. 2019 Apr;99(4-1):042304
pubmed: 31108590
Proc Natl Acad Sci U S A. 2007 Feb 13;104(7):2277-82
pubmed: 17287357
J Theor Biol. 2014 May 21;349:66-73
pubmed: 24462897
Commun Biol. 2018 Jun 14;1:71
pubmed: 30271952
Nat Rev Genet. 2009 Aug;10(8):531-9
pubmed: 19546856
Nat Commun. 2019 Feb 15;10(1):776
pubmed: 30770812
Phys Rev Lett. 2006 May 12;96(18):188104
pubmed: 16712402
PLoS Comput Biol. 2020 Jan 17;16(1):e1007529
pubmed: 31951612
Bull Math Biol. 2006 Oct;68(7):1573-99
pubmed: 16832734
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042707
pubmed: 26565272
Phys Rev Lett. 2003 Apr 11;90(14):148701
pubmed: 12731952
Philos Trans R Soc Lond B Biol Sci. 2010 Jan 12;365(1537):19-30
pubmed: 20008382
R Soc Open Sci. 2015 Apr 29;2(4):140465
pubmed: 26064637
R Soc Open Sci. 2019 Jan 16;6(1):181661
pubmed: 30800394
Nature. 2002 Nov 14;420(6912):206-10
pubmed: 12432404
Nature. 2001 Mar 8;410(6825):268-76
pubmed: 11258382
Sci Rep. 2017 Dec;7(1):82
pubmed: 28250441
Commun Biol. 2019 Apr 23;2:138
pubmed: 31044163