Recombination and Genetic Diversity

Authors

  • Thamara Carvalho Coutinho Universidade Federal de Sao Joao Del Rei
  • Telles Timóteo Da Silva Universidade Federal de Sao Joao Del Rei
  • Gustavo Leal Toledo Universidade Federal de Sao Joao Del Rei

DOI:

https://doi.org/10.5540/tema.2013.013.03.0265

Abstract

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).

Author Biography

Telles Timóteo Da Silva, Universidade Federal de Sao Joao Del Rei

Sou Professor do Departamento de Física e Matemática da UFSJ. Leciono na área de Matemática.

References

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Thamara C. Coutinho, Telles T. Da Silva, MHC, Recombinação e Diversidade Genética, Congresso de Matemática Aplicada e Computacional - Sudeste, Uberlândia, 2011.

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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.

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Published

2012-12-22

How to Cite

Coutinho, T. C., Da Silva, T. T., & Toledo, G. L. (2012). Recombination and Genetic Diversity. Trends in Computational and Applied Mathematics, 13(3), 265–275. https://doi.org/10.5540/tema.2013.013.03.0265

Issue

Vol. 13 No. 3 (2012)

Section

Original Article

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