A model of dynamics of mutation, genetic drift and recombination in DNA-repeat genetic loci

• Autorzy: Polańska J. , Kimmel M.
• Języki publikacji: EN

Abstrakty

EN

We present a model of genetic dynamics of a population of chromosomes, involving mutation, drift and recombination at a pair of repeat-DNA sequences. Such sequences, known as microsatellites and VNTR's, are commonly used as markers in studies in forensics, molecular evolution and gene mapping. The model we use has the form of a time-continuous Markov chain. It is further transformed to the form of a differential equation for probability generating functions. This description allows to follow dynamics with a variety of initial conditions. It allows, among other, to model the so called linkage disequilibrium, i.e. the state in which, due to processes like newly arisen mutation, selection, or population admixture, there exists a dependence between alleles at two loci. Recombination gradually dissolves the linkage disequilibrium, with additional contributions from drift and mutation. The model, in its complete form, is rather involved, since it includes all possible occurrences related to three genetic forces: mutation, genetic drift and recombination. However, we find explicit solutions to special cases which allow to understand the dynamics of dissolution of linkage disequilibrium. Other special cases of the model include the previously known relationships involving mutations and genetic drift. Also, we derive equations for the moments of the random variables present in the model. The moments can be used to define distance measures between distributions of alleles.

Słowa kluczowe

EN

genetic dynamics; Markov process; differential equation; Wrigh-Fisher model; recombination; Linkage disequilibrium

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 1999
• Tom: Vol. 9, no. 1/2
• Strony: 143--157
• Opis fizyczny: Bibliogr. poz. 13

Twórcy

autor

Polańska J.

autor

Kimmel M.

• Institute of Automatic Control, Silesian University of Technology, Gliwice