Recombination and Genetic Diversity
DOI:
https://doi.org/10.5540/tema.2013.013.03.0265Abstract
In this paper we present a spatial stochastic model for genetic recombination, that answers if diversity is preserved in an infinite population of recombinating individuals distributed spatially. We show that, for finite times, recombination may maintain all the various potential different types, but when time grows infinitely, the diversity of individuals extinguishes off. So under the model premisses, recombination and spatial localization alone are not enough to explain diversity in a population. Further we discuss an application of the model to a controversy regarding the diversity of "Major Histocompatibility Complex" (MHC).
References
A. K. Abbas, A. H. Lichtman, "Imunologia Celular e Molecular'', 3a. ed., Elsevier, Rio de Janeiro, 2009.
R. Bürger, "The mathematical theory of selection, recombination, and mutation'', John Wiley & Sons, Chichester, 2000.
P. Clifford, A. Sudbury, "A model for spatial conflict", Biometrika Trust, 60 (1973), 581--588.
R. Coico, G. Sunshine, "Immunology: a short course", 6a. ed., John Wiley & Sons-Blackwell, New Jersey, 2009.
Thamara C. Coutinho, Telles T. Da Silva, MHC, Recombinação e Diversidade Genética, Congresso de Matemática Aplicada e Computacional - Sudeste, Uberlândia, 2011.
W. Ewens, G. R. GRANT, "Statistical Methods in Bioinformatics: an introduction", 2a. ed.,Springer, New York, 2005.
P. Ferrari, A. Galves, "Acoplamento e processos estocásticos", IMPA, Rio de Janeiro, 1997.
O. Kallenberg, "Foundations of Modern Probability'', 2nd ed., Springer, Berlin, 2002.
P. S. C. Magalhães, M. Böhlke, F. Neubarth, Complexo Principal de Histocompatibilidade (MHC): codificação genética, bases estruturais e implicações clínicas, Rev. Med. UCPEL (Pelotas), 2 (2004), 54--59.
A. M. Miranda Vilela, "A diversidade genética do complexo principal de histocompatibilidade (MHC) e sua relação com a susceptibilidade para doenças auto-imunes e câncer." SBG, Ribeirão Preto, 2007.
H. Schaschl et al., Selection and recombination drive the evolution of MHC class II DRB diversity in ungulates, Heredity, 97 (2006), 427--437.
Downloads
Additional Files
Published
How to Cite
Issue
Section
License
Authors who publish in this journal agree to the following terms:
Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.
Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).
This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
author. This is in accordance with the BOAI definition of open access
Intellectual Property
All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.
