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Research Article

Bayesian coclustering of Anopheles gene expression time series: Study of immune defense response to multiple experimental challenges

Nicholas A. Heard, Christopher C. Holmes, David A. Stephens, David J. Hand, and George Dimopoulos
  1. *Department of Mathematics, Imperial College London, Huxley Building, 180 Queens Gate, London SW7 2AZ, United Kingdom; ‡Oxford Centre for Gene Function, Department of Statistics, University of Oxford, Oxford OX1 3QX, United Kingdom; §MRC Mammalian Genetics Unit, Medical Research Council, Harwell, Oxford OX11 0RD, United Kingdom; and ¶Department of Molecular Microbiology and Immunology, Johns Hopkins School of Public Health, 615 North Wolfe Street, Baltimore, MD 21205

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PNAS November 22, 2005 102 (47) 16939-16944; https://doi.org/10.1073/pnas.0408393102
Nicholas A. Heard
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Christopher C. Holmes
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David A. Stephens
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David J. Hand
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George Dimopoulos
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  1. Edited by James O. Berger, Duke University, Durham, NC (received for review November 11, 2004)

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Abstract

We present a method for Bayesian model-based hierarchical coclustering of gene expression data and use it to study the temporal transcription responses of an Anopheles gambiae cell line upon challenge with multiple microbial elicitors. The method fits statistical regression models to the gene expression time series for each experiment and performs coclustering on the genes by optimizing a joint probability model, characterizing gene coregulation between multiple experiments. We compute the model using a two-stage Expectation-Maximization-type algorithm, first fixing the cross-experiment covariance structure and using efficient Bayesian hierarchical clustering to obtain a locally optimal clustering of the gene expression profiles and then, conditional on that clustering, carrying out Bayesian inference on the cross-experiment covariance using Markov chain Monte Carlo simulation to obtain an expectation. For the problem of model choice, we use a cross-validatory approach to decide between individual experiment modeling and varying levels of coclustering. Our method successfully generates tightly coregulated clusters of genes that are implicated in related processes and therefore can be used for analysis of global transcript responses to various stimuli and prediction of gene functions.

  • microarray
  • model-based clustering
  • Markov chain Monte Carlo
  • Expectation-Maximization

Footnotes

  • ↵ † To whom correspondence may be addressed. E-mail: n.heard{at}imperial.ac.uk or gdimopou{at}jhsph.edu.

  • Author contributions: N.A.H., C.C.H., and D.A.S. designed research and performed research; N.A.H. and G.D. analyzed data; and N.A.H., C.C.H., D.A.S., D.J.H., and G.D. wrote the paper.

  • Conflict of interest statement: No conflicts declared.

  • This paper was submitted directly (Track II) to the PNAS office.

  • Abbreviations: CV, cross-validation; EM, Expectation-Maximization; MC, Monte Carlo; L.m., Listeria monocytogenes; M.l., Micrococcus luteus; S.t., Salmonella typhimurium.

  • Copyright © 2005, The National Academy of Sciences
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Bayesian coclustering of Anopheles gene expression time series: Study of immune defense response to multiple experimental challenges
Nicholas A. Heard, Christopher C. Holmes, David A. Stephens, David J. Hand, George Dimopoulos
Proceedings of the National Academy of Sciences Nov 2005, 102 (47) 16939-16944; DOI: 10.1073/pnas.0408393102

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Bayesian coclustering of Anopheles gene expression time series: Study of immune defense response to multiple experimental challenges
Nicholas A. Heard, Christopher C. Holmes, David A. Stephens, David J. Hand, George Dimopoulos
Proceedings of the National Academy of Sciences Nov 2005, 102 (47) 16939-16944; DOI: 10.1073/pnas.0408393102
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