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A new stochastic model of microsatellite evolution

Part of: Markov processes

Published online by Cambridge University Press:  14 July 2016

Richard Durrett  and
Semyon Kruglyak
Richard Durrett*
Affiliation:
Cornell University
Semyon Kruglyak*
Affiliation:
University of Southern California
*
∗ Postal address: Department of Mathematics, 528 Mallott Hall, Cornell University, Ithaca, NY 14853, USA. Email address: rtd1@cornell.edu
∗∗ Postal address: 293 Denney Research Building, University of Southern California, Los Angeles, CA 90089, USA.
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Abstract

We introduce a continuous-time Markov chain model for the evolution of microsatellites, simple sequence repeats in DNA. We prove the existence of a unique stationary distribution for our model, and fit the model to data from approximately 106 base pairs of DNA from fruit flies, mice, and humans. The slippage rates from the best fit for our model are consistent with experimental findings.

Keywords

Microsatellite evolutionMarkov chain model

MSC classification

Secondary: 60J27: Continuous-time Markov processes on discrete state spaces

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 36 , Issue 3 , September 1999 , pp. 621 - 631
Copyright
Copyright © Applied Probability Trust 1999 

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