title: Stochastic properties of one-parameter discrete model of genetic diversity in the unique random parameter case.
abstract: Stochastic properties of previously introduced one parameter discrete model of genetic diversity (M. Yu. Shchelkanov et al, J. Biomol. Struct. Dyn. 15, 887-894 (1998)) are investigated. Two approaches are compared: (A) when the on-step substitution number and/or the number of substitution steps are random variables; (B) referred parameters are replaced by mathematical expectations of the respective variables. It has been demonstrated, that estimations of sequence measure based on the number of replication steps are more under the assumption of case (A) as compared with (B). Thus, real biological situation relating to the case (A) could additionally promote the increasing of distinctions between different taxons (e.g. HIV, etc.). Peculiarities of one-parameter discrete model of genetic diversity during calculation of the distinctions between symbol (e.g. nucleotide) sequence sets are also discussed.
authors.affiliation: Moscow Institute of Physics and Technology, Faculty of Molecular and Biological Physics, Department of Molecular Biophysics, Dolgoprudny, Russia.
authors.forename: M Y
authors.initials: MY
authors.lastname: Shchelkanov
authors.forename: L A
authors.initials: LA
authors.lastname: Soinov
authors.forename: A N
authors.initials: AN
authors.lastname: Yudin
authors.forename: M V
authors.initials: MV
authors.lastname: Denisov
authors.forename: A A
authors.initials: AA
authors.lastname: Slavsky
authors.forename: M S
authors.initials: MS
authors.lastname: Petrenko
authors.forename: A A
authors.initials: AA
authors.lastname: Vedenov
mesh_terms: D014644:Genetic Variation; D006678:HIV / Q000235:genetics; D008433:Mathematics; D008957:Models, Genetic; D011506:Proteins / Q000737:chemistry; D012313:RNA / Q000737:chemistry / Q000235:genetics; D012328:RNA Viruses / Q000235:genetics; D012367:RNA, Viral / Q000737:chemistry / Q000235:genetics; D011897:Random Allocation; D013269:Stochastic Processes
chemical_list: D011506:Proteins; D012367:RNA, Viral; D012313:RNA