4.4 Article

DOUBLY STOCHASTIC CONTINUOUS-TIME HIDDEN MARKOV APPROACH FOR ANALYZING GENOME TILING ARRAYS

Journal

ANNALS OF APPLIED STATISTICS
Volume 3, Issue 3, Pages 1183-1203

Publisher

INST MATHEMATICAL STATISTICS
DOI: 10.1214/09-AOAS248

Keywords

Tiling microarray; continuous-space Markov chain; Hidden Markov Model; forward-backward algorithm; Bayesian hierarchical model; Expectation Conditional Maximization; Markov chain Monte Carlo

Funding

  1. NIH [T32-CA009337, R01-HG004069, R01-GM078990]
  2. NSF [DMS-0706989]

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Microarrays have been developed that the the entire nonrepetitive genomes of many different organisms, allowing for the unbiased mapping of active transcription regions or protein binding sites across the entire genome. These tiling array experiments produce massive correlated data sets that have many experimental artifacts, presenting many challenges to researchers that require innovative analysis methods and efficient computational algorithms. This paper presents a doubly stochastic latent variable analysis method for transcript discovery and protein binding region localization using tiling array data. This model is unique in that it considers actual genomic distance between probes. Additionally, the model is designed to be robust to cross-hybridized and nonresponsive probes, which can often lead to false-positive results in microarray experiments. We apply our model to a transcript finding data set to illustrate the consistency of our method. Additionally, we apply our method to a spike-in experiment that can be used as a benchmark data set for researchers interested in developing and comparing future tiling array methods. The results indicate that our method is very powerful, accurate and can be used on a single sample and without control experiments, thus defraying some of the overhead cost of conducting experiments on tiling arrays.

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