Abstract
Time-course microarray experiments are an increasingly popular approach for understanding the dynamical behavior of a wide range of biological systems. In this paper we discuss some recently developed functional Bayesian methods specifically designed for time-course microarray data. The methods allow one to identify differentially expressed genes, to rank them, to estimate their expression profiles and to cluster the genes associated with the treatment according to their behavior across time. The methods successfully deal with various technical difficulties that arise in this type of experiments such as a large number of genes, a small number of observations, non-uniform sampling intervals, missing or multiple data and temporal dependence between observations for each gene. The procedures are illustrated using both simulated and real data.
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Abramovich, F. and Angelini, C.: Bayesian maximum a posteriori multiple testing procedure. Sankhya, 68, 436-460, (2006)
Angelini, C., De Canditiis, D., Mutarelli, M., and Pensky, M.: A Bayesian Approach to Estimation and Testing in Time-course Microarray Experiments. Statistical Applications in Genetics and Molecular Biology 6, art. 24, (2007)
Angelini, C., Cutillo, L., De Canditiis, D., Mutarelli, M., and Pensky, M.: BATS: A Bayesian user friendly Software for analyzing time series microarray experiments. BMC Bioinformatics 9, (2008)
Angelini, C., De Canditiis, D., and Pensky, M.: Bayesian models for the two-sample time-course microarray experiments. Computational Statistics & Data Analysis 53, 1547-1565, (2009)
Angelini, C., De Canditiis, D., and Pensky, M.: Clustering time-course microarray data using functional Bayesian Infinite Mixture Model, Journal of Applied Statistics, (2011), DOI: 10.1080/02664763.2011.578620
Cicatiello, L., Scafoglio, C., Altucci, L., Cancemi, M., Natoli, G., Facchiano, A., Iazzetti, G., Calogero, R., Biglia, N., De Bortoli, M., Sfiligol, C., Sismondi, P., Bresciani, F., Weisz, A.: A genomic view of estrogen actions in human breast cancer cells by expression profiling of the hormone-responsive transcriptome. Journal of Molecular Endocrinology 32, 719-775, (2004)
Conesa, A. Nueda, M. J., Ferrer, A., and Talon, M.: MaSigPro: a method to identify significantly differential expression profiles in time-course microarray-experiments. Bioinformatics 22, 1096–1102, (2006)
Dahl D.B.: Sequentially-Allocated Merge-Split Sampler for Conjugate and Nonconjugate Dirichlet Process Mixture Models. Technical Report, Department of Statistics, University of Wisconsin – Madison (2005)
Ferguson T.S.: A bayesian analysis of some nonparametric problems. Annals of Statistics 1, 209-230 (1973)
Heard, N.A., Holmes C.C., Stephens D.A.: A quantitative study of gene regulation involved in the Immune response of Anopheline Mosquitoes: An application of Bayesian hierarchical clustering of curves. Journal of the American Statistical Association, 101, 18-29 (2006)
Leek, J. T., Monsen, E., Dabney, A. R., Storey, J. D.: EDGE: extraction and analysis of differential gene expression. Bioinformatics, 22, 507-508, (2006)
Kerr, M.K., Martin M., and Churchill, G.A.: Analysis of variance for gene expression microarray data, Journal of Computational Biology, 7, 819–837, (2000)
Kim B.R., Zhang,L., Berg, A., Fan J., Wu R.: A computational approach to the functional clustering of periodic gene-expression profiles. Genetics, 180, 821-834, (2008)
Ma, P., Zhong,W., Feng,Y., Liu JS.: Bayesian functional data clustering for temporal microarray data. International journal of Plant Genomics., art. 231897, (2008)
Qin, Z. S.,: Clustering microarray gene expression data using weighted Chinese restaurant process. Bioinformatics, 22 1988-1997, (2006)
Ray, S., Mallick B.. Functional clustering by Bayesian wavelet methods. J. Royal Statistical Society: Series B, 68, 302-332 (2006)
Storey, J. D., Xiao, W., Leek, J. T., Tompkins, R. G., Davis, R. W.: Significance analysis of time course microarray experiments. PNAS 102, 12837-12842, (2005)
Tai, Y. C., Speed, T.P.: A multivariate empirical Bayes statistic for replicated microarray time course data. Annals of Statistics, 34, 2387-2412, (2006)
Tusher, V., Tibshirani, R., Chu, C.: Significance analysis of microarrays applied to the ionizing radiation response. PNAS, 98, 5116-5121, (2001)
Yeung, K.Y., Fraley, C., Murua, A., Raftery, A.E., Ruzzo, W.L. Model-based clustering and data transformations for gene expression data. Bioinformatics, 17 977-987, (2001)
Wit, E., and McClure, J. Statistics for Microarrays: Design, Analysis and Inference, Wiley, Chichester, West Sussex, England, (2004)
Wu, H., Kerr, M. K., Cui, X., and Churchill, G.A. MAANOVA: A software package for Analysis of spotted cDNA Microarray experiments. In The Analysis of Gene Expression Data: Methods and Software eds. Parmigiani, G.,Garrett, E.S., Irizarry, R. A., and Zeger, S.L. Statistics for Biology and Health. Springer, pp. 313–341, (2003)
Acknowledgements
This research was supported in part by the CNR-Bioinformatics projects, the CNR DG.RSTL.004.002 Project. Marianna Pensky was supported in part by National Science Foundation (NSF), grant DMS-1106564 and the CNR Short term mobility grant 2008.
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Angelini, C., De Canditiis, D., Pensky, M. (2012). Bayesian Methods for Time Course Microarray Analysis: From Genes’ Detection to Clustering. In: Di Ciaccio, A., Coli, M., Angulo Ibanez, J. (eds) Advanced Statistical Methods for the Analysis of Large Data-Sets. Studies in Theoretical and Applied Statistics(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21037-2_5
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DOI: https://doi.org/10.1007/978-3-642-21037-2_5
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