Theoretical description of chromosome architecture after multiple back-crossing
2008
Rodolphe, Francois, F. | Martin, Juliette | Della-Chiesa, Emmanuella | Unité Mathématique Informatique et Génome (MIG) ; Institut National de la Recherche Agronomique (INRA) | Bioinformatique génomique et moléculaire ((U 726)) ; Université Paris Diderot - Paris 7 (UPD7)-Institut National de la Santé et de la Recherche Médicale (INSERM) | Laboratoire Statistique et Génome (LSG) ; Institut National de la Recherche Agronomique (INRA)-Université d'Évry-Val-d'Essonne (UEVE)-Centre National de la Recherche Scientifique (CNRS)
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Show more [+] Less [-]English. This paper provides a theoretical description of the chromosome architecture resulting from a given number of generations in a back-cross. It is worth considering chromosome architecture as being dependent on a marked point process, whose properties themselves depend on the crossing-over model used. The resulting architecture is presented here for two different models, one without interference, the other with complete interference. Exact distributions, with easy-to-compute formulae, are derived for quantities of interest, as the lengths of donor or receiver fragments, for any chromosome length and for both crossing-over models. Examples are presented to illustrate the use of these distributions in introgression programs.
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