Modeling change of haplotype distributions in random mating populations using random sets

Author

Raji-Kermany, Amir ; Charalambous, Charalambos D. ; Hickey, Donal

Author_Institution

Sch. of Inf. Technol. & Eng., Univ. of Ottawa, Ont., Canada

Volume

4

fYear

2004

Firstpage

2107

Abstract

Several mathematical models have been developed to describe the genetic structure of populations. Most of these models focus on only one, or few genetic loci. In this paper, we develop a model to describe a large number of loci simultaneously. Such a model is appropriate for recent large-scale studies of single nucleotide polymorphisms (SNP). Building on the earlier work of Geiringer (1944) and the more recent mathematical formalization proposed by Dawson (2000), we suggest modeling the system using random sets. We can then use this model to find the recursion law for the change of haplotype frequencies between successive generations.

Keywords

biology computing; genetics; random processes; set theory; statistical distributions; genetic loci; genetic structure; haplotype distributions; haplotype frequency change; mathematical models; random mating populations; random sets; recursion law; single nucleotide polymorphisms; successive generations; Biological cells; Biological system modeling; Computational biology; Frequency; Genetic engineering; Genetic mutations; Humans; Large-scale systems; Mathematical model; Probability density function;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 2004. Canadian Conference on

ISSN

0840-7789

Print_ISBN

0-7803-8253-6

Type

conf

DOI

10.1109/CCECE.2004.1347656

Filename

1347656