M. González Velasco, C. Gutiérrez Pérez, R. Martínez Quintana, M. Mota Medina
Some defective alleles of genes linked to X chromosome can cause severe diseases or serious disorders, as the hemophilia. If the alleles causing the disorder are recessive, they can survive since they only affect to carrier males and homozygous carrier females. Hence, heterozygous carrier females are not affected but can pass the allele onto offspring. In this work, we study a multitype two-sex branching process for describing the evolution of the number of carriers of the alleles, R and r, of an X-linked gene. The R allele is considered dominant and the r allele is supposed to be recessive and defective, responsible of a disorder. We study the fate of the recessive allele in the population, i.e. under which conditions it eventually disappears, and conditions for the fixation of the dominant allele and the extinction of the population. This research has been supported by the Ministerio de Economía y Competividad (MTM2015-70522-P), the Junta de Extremadura (GR15105) and the FEDER.
Palabras clave: two-sex branching processes, extinction probability, X-linked genesProgramado
L08.5 Procesos Estocásticos II
5 de septiembre de 2016 15:40