Bayesian Methods for Microarray Data

We review the use of Bayesian methods for analyzing gene expression data. We focus on methods which select groups of genes on the basis of their expression in RNA samples derived under different experimental conditions. We first describe Bayesian methods for estimating gene expression level from the intensity measurements obtained from analysis of microarray images. We next discuss the issues involved in assessing differential gene expression between two conditions at a time, including models for classifying the genes as differentially expressed or not. In the last two sections, we present models for grouping gene expression profiles over different experimental conditions, in order to find co-expressed genes, and multivariate models for finding gene signatures, i.e. for selecting a parsimonious group of genes that discriminate between entities such as subtypes of disease.

[1]  E. George,et al.  APPROACHES FOR BAYESIAN VARIABLE SELECTION , 1997 .

[2]  Ajay Jasra,et al.  Population-Based Reversible Jump Markov Chain Monte Carlo , 2007, 0711.0186.

[3]  G. Parmigiani,et al.  A statistical framework for expression‐based molecular classification in cancer , 2002 .

[4]  Bani K. Mallick,et al.  Gene selection using a two-level hierarchical Bayesian model , 2004, Bioinform..

[5]  A. P. Dawid,et al.  Bayesian Model Averaging and Model Search Strategies , 2007 .

[6]  Ingrid Lönnstedt Replicated microarray data , 2001 .

[7]  M. Vannucci,et al.  Bayesian Variable Selection in Clustering High-Dimensional Data , 2005 .

[8]  J. Ibrahim,et al.  Bayesian Models for Gene Expression With DNA Microarray Data , 2002 .

[9]  D. Stephens,et al.  A Quantitative Study of Gene Regulation Involved in the Immune Response of Anopheline Mosquitoes , 2006 .

[10]  Marina Vannucci,et al.  Bayesian Variable Selection in Multinomial Probit Models to Identify Molecular Signatures of Disease Stage , 2004, Biometrics.

[11]  Raphael Gottardo,et al.  Quality Control and Robust Estimation for cDNA Microarrays With Replicates , 2006, Journal of the American Statistical Association.

[12]  J. Sethuraman A CONSTRUCTIVE DEFINITION OF DIRICHLET PRIORS , 1991 .

[13]  Pierre Baldi,et al.  A Bayesian framework for the analysis of microarray expression data: regularized t -test and statistical inferences of gene changes , 2001, Bioinform..

[14]  E. George,et al.  Journal of the American Statistical Association is currently published by American Statistical Association. , 2007 .

[15]  Deepayan Sarkar,et al.  Detecting differential gene expression with a semiparametric hierarchical mixture method. , 2004, Biostatistics.

[16]  P. Green,et al.  On Bayesian Analysis of Mixtures with an Unknown Number of Components (with discussion) , 1997 .

[17]  J. Griffin,et al.  Alternative prior distributions for variable selection with very many more variables than observations , 2005 .

[18]  D. Ruppert,et al.  Measurement Error in Nonlinear Models , 1995 .

[19]  P. Müller,et al.  A Bayesian mixture model for differential gene expression , 2005 .

[20]  P. Müller,et al.  10 Model-Based Clustering for Expression Data via a Dirichlet Process Mixture Model , 2006 .

[21]  Matthew West,et al.  Bayesian factor regression models in the''large p , 2003 .

[22]  S Richardson,et al.  Tail posterior probability for inference in pairwise and multiclass gene expression data. , 2007, Biometrics.

[23]  T. Fearn,et al.  Multivariate Bayesian variable selection and prediction , 1998 .

[24]  Jon Wakefield,et al.  A Bayesian Mixture Model for Partitioning Gene Expression Data , 2006, Biometrics.

[25]  Christina Kendziorski,et al.  On Differential Variability of Expression Ratios: Improving Statistical Inference about Gene Expression Changes from Microarray Data , 2001, J. Comput. Biol..

[26]  J. Besag,et al.  Probabilistic segmentation and intensity estimation for microarray images. , 2006, Biostatistics.

[27]  C. Li,et al.  Analyzing high‐density oligonucleotide gene expression array data , 2001, Journal of cellular biochemistry.

[28]  J. S. Rao,et al.  Spike and Slab Gene Selection for Multigroup Microarray Data , 2005 .

[29]  C M Kendziorski,et al.  On parametric empirical Bayes methods for comparing multiple groups using replicated gene expression profiles , 2003, Statistics in medicine.

[30]  Marina Vannucci,et al.  Gene selection: a Bayesian variable selection approach , 2003, Bioinform..

[31]  Edward I. George,et al.  The Practical Implementation of Bayesian Model Selection , 2001 .

[32]  Chuan Zhou,et al.  Modelling Gene Expression Data over Time: Curve Clustering with Informative Prior Distributions , 2003 .

[33]  J. S. Rao,et al.  Detecting Differentially Expressed Genes in Microarrays Using Bayesian Model Selection , 2003 .

[34]  John D. Storey,et al.  Empirical Bayes Analysis of a Microarray Experiment , 2001 .

[35]  Marit Holden,et al.  Genome-wide estimation of transcript concentrations from spotted cDNA microarray data , 2005, Nucleic acids research.

[36]  Marina Vannucci,et al.  Models for Probability of Under- and Overexpression: The POE Scale , 2006 .

[37]  P. Green,et al.  Bayesian Model-Based Clustering Procedures , 2007 .

[38]  D. Hand,et al.  Bayesian coclustering of Anopheles gene expression time series: study of immune defense response to multiple experimental challenges. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[39]  Gordon K Smyth,et al.  Statistical Applications in Genetics and Molecular Biology Linear Models and Empirical Bayes Methods for Assessing Differential Expression in Microarray Experiments , 2011 .

[40]  S. Chib,et al.  Bayesian analysis of binary and polychotomous response data , 1993 .

[41]  Kenneth Rice,et al.  FDR and Bayesian Multiple Comparisons Rules , 2006 .

[42]  Olaf Wolkenhauer,et al.  A fully Bayesian model to cluster gene-expression profiles , 2005, ECCB/JBI.

[43]  T. Fearn,et al.  Bayes model averaging with selection of regressors , 2002 .

[44]  Roger E Bumgarner,et al.  Bayesian Robust Inference for Differential Gene Expression in Microarrays with Multiple Samples , 2004, Biometrics.

[45]  Marina Vannucci,et al.  Variable selection in clustering via Dirichlet process mixture models , 2006 .

[46]  Ka Yee Yeung,et al.  Bayesian mixture model based clustering of replicated microarray data , 2004, Bioinform..

[47]  Cavan S Reilly,et al.  A Method for Normalizing Microarrays Using Genes That Are Not Differentially Expressed , 2003 .

[48]  M. Clyde,et al.  Bayesian identification of differential gene expression induced by metals in human bronchial epithelial cells , 2006 .

[49]  Colin C. Pritchard,et al.  Bayesian integrated functional analysis of microarray data , 2004, Bioinform..

[50]  Paola Sebastiani,et al.  Cluster analysis of gene expression dynamics , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[51]  D. B. Dahl Bayesian Inference for Gene Expression and Proteomics: Model-Based Clustering for Expression Data via a Dirichlet Process Mixture Model , 2006 .

[52]  Ping Ma,et al.  Bayesian Inference for Gene Expression and Proteomics , 2007, Briefings Bioinform..

[53]  Michael Ruogu Zhang,et al.  Comprehensive identification of cell cycle-regulated genes of the yeast Saccharomyces cerevisiae by microarray hybridization. , 1998, Molecular biology of the cell.

[54]  Giuliano Antoniol,et al.  A Deformable Grid-Matching Approach for Microarray Images , 2006, IEEE Transactions on Image Processing.

[55]  Carlos M. Carvalho,et al.  Sparse Statistical Modelling in Gene Expression Genomics , 2006 .

[56]  T. J. Mitchell,et al.  Bayesian Variable Selection in Linear Regression , 1988 .

[57]  Alex Lewin,et al.  A mixture model-based strategy for selecting sets of genes in multiclass response microarray experiments , 2004, Bioinform..

[58]  C. Holmes,et al.  Bayesian auxiliary variable models for binary and multinomial regression , 2006 .

[59]  Stephen G. Walker,et al.  Bayesian Nonparametric Inference , 2005 .

[60]  E. Feingold,et al.  An Empirical Bayesian Method for Differential Expression Studies Using One-Channel Microarray Data , 2003, Statistical applications in genetics and molecular biology.

[61]  Sylvia Richardson,et al.  Bayesian Hierarchical Model for Identifying Changes in Gene Expression from Microarray Experiments , 2002, J. Comput. Biol..

[62]  J. S. Rao,et al.  Spike and slab variable selection: Frequentist and Bayesian strategies , 2005, math/0505633.

[63]  M. Escobar,et al.  Bayesian Density Estimation and Inference Using Mixtures , 1995 .