Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure

Journal of Theoretical Biology
Miguel GonzálezRodrigo Martínez

Abstract

A new two-sex bidimensional branching process is introduced to model the evolution of the number of carriers of an allele and its mutations of a Y-linked gene. A population is assumed in which females and males coexist and mate without the gene influencing the mating process. It is deduced from the model that the key determining conditions for the extinction or survival of the allele are given by the probability that an offspring is female, the rate of mutation, and the mean number of offspring per mating unit. It is also proved that the destiny of the allele's mutations in the population also depends on the survival or extinction of the original allele.

References

Aug 5, 2003·Nature Reviews. Genetics·Mark A Jobling, Chris Tyler-Smith
Mar 15, 2006·Cell·Jennifer A Marshall Graves
Aug 26, 2006·Human Reproduction·G H WesterveldM P Lombardi
Apr 17, 2008·Reproductive Biomedicine Online·Francesca Nuti, Csilla Krausz
Aug 30, 2008·Mathematical Biosciences·M GonzálezM Mota
Dec 17, 2008·Journal of Theoretical Biology·Miguel GonzálezManuel Mota
Sep 25, 2009·Reproduction : the Official Journal of the Society for the Study of Fertility·Liesbeth Visser, Sjoerd Repping
Aug 29, 2012·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·M GonzálezR Martínez

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Citations

Jul 15, 2017·Bulletin of Mathematical Biology·Milliward MaliyoniKeshlan S Govinder

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