Handbook of Statistical Genetics 2007
DOI: 10.1002/9780470061619.ch3
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Bayesian Methods in Biological Sequence Analysis

Abstract: Hidden Markov models, the expectation-maximization algorithm, and the Gibbs sampler were introduced for biological sequence analysis in early 1990s. Since then the use of formal statistical models and inference procedures has revolutionized the field of computational biology. This chapter reviews the hidden Markov and related models, as well as their Bayesian inference procedures and algorithms, for sequence alignments and gene regulatory binding motif discoveries. We emphasize that the combination of Markov c… Show more

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Cited by 3 publications
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“…BaySeq Tool. The method applied in the baySeq R/ Bioconductor package (version 1.16.0; Hardcastle and Kelly, 2010) uses prior information to fit a nonlinear model that quantifies biases and uncertainties in the estimates (Liu and Logvinenko, 2003). It also assumes an NB distribution for the data and derives an empirically determined prior distribution from the entire data set by maximum likelihood (Hardcastle and Kelly, 2010), represented as follows:…”
Section: Statistical Analysesmentioning
confidence: 99%
“…BaySeq Tool. The method applied in the baySeq R/ Bioconductor package (version 1.16.0; Hardcastle and Kelly, 2010) uses prior information to fit a nonlinear model that quantifies biases and uncertainties in the estimates (Liu and Logvinenko, 2003). It also assumes an NB distribution for the data and derives an empirically determined prior distribution from the entire data set by maximum likelihood (Hardcastle and Kelly, 2010), represented as follows:…”
Section: Statistical Analysesmentioning
confidence: 99%
“…Bayesian inference procedures and algorithms have revolutionized the field of computational biology (Liu and Logvinenko, 2003) due to the development of computationally-intensive simulation-based methods such as Markov chain Monte Carlo (MCMC), which are available in software such as WinBUGS (Lunn et al, 2000), and has led to the adoption of increasingly complex models in many situations.…”
Section: Introductionmentioning
confidence: 99%
“…In fact, the use of an Approximate 91 Bayesian Computation (ABC) approach, discussed below, is particularly well suited to 92 these kinds of problems [16]. There are many examples of Bayesian methods being used 93 to analyse bioinformatics data and systems biology models [17], including in sequence 94 analysis [18], gene microarray data [19] and in models of genetic oscillators [20] and 95 DNA network dynamics [21]. There are a number of models that take a systems biology 96 approach towards understanding physiology, particularly oxygen transport and blood 97 flow, including the previously mentioned BrainSignals [2,4,6] and BrainPiglet [5,6] 98 models, the Aubert-Costalat model [22], and work by Fantini [23][24][25][26] and Orlowski and 99 Payne [27,28] where Bayesian parameter estimation could also be applied but has yet to 100 be.…”
mentioning
confidence: 99%