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A new stochastic model of microsatellite evolution

  • Richard Durrett (a1) and Semyon Kruglyak (a2)


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.


Corresponding author

Postal address: Department of Mathematics, 528 Mallott Hall, Cornell University, Ithaca, NY 14853, USA. Email address:
∗∗ Postal address: 293 Denney Research Building, University of Southern California, Los Angeles, CA 90089, USA.


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