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We describe and test a Markov chain model of microsatellite evolution that can explain the different distributions of microsatellite lengths across different organisms and repeat motifs. Two key features of this model are the dependence of mutation rates on microsatellite length and a mutation process that includes both strand slippage and point mutation(More)
In article [1] authors wrote: “Recently it became evident that a number of problems of linear algebra allows common formulating and in this formulating common effective methods of investigations of such problems appear. It is interesting that these methods appear to be connected with such concepts as Coxeter–Weyl group and Dynkin schemes.” One of these(More)
We fit a Markov chain model of microsatellite evolution introduced by Kruglyak et al. to data on all di-, tri-, and tetranucleotide repeats in the yeast genome. Our results suggest that many features of the distribution of abundance and length of microsatellites can be explained by this simple model, which incorporates a competition between slippage events(More)
We describe a mathematical model of signal from single-channel direct hybridization microarray platforms. The model establishes a linear relationship between microarray signals and their standard deviations from a minimum set of assumptions. We use the model to precisely define important microarray quality characteristics: resolved fold change and dynamic(More)
Representations of quivers of the finite and tame types are classified up to equivalence in the papers [1, 2]. It is naturally to classify representations of quivers in the category of Hilbert spaces up to the unitary equivalece [3, 4]. One can regard the category of such represenations as a subcategory in the category of all representations, and at that(More)
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