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http://dx.doi.org/10.5351/KJAS.2012.25.3.415

A Study of HME Model in Time-Course Microarray Data  

Myoung, Sung-Min (Faculty of Health Science, Jungwon University)
Kim, Dong-Geon (Department of Information and Statistics, Dongduk Women's University)
Jo, Jin-Nam (Department of Information and Statistics, Dongduk Women's University)
Publication Information
The Korean Journal of Applied Statistics / v.25, no.3, 2012 , pp. 415-422 More about this Journal
Abstract
For statistical microarray data analysis, clustering analysis is a useful exploratory technique and offers the promise of simultaneously studying the variation of many genes. However, most of the proposed clustering methods are not rigorously solved for a time-course microarray data cluster and for a fitting time covariate; therefore, a statistical method is needed to form a cluster and represent a linear trend of each cluster for each gene. In this research, we developed a modified hierarchical mixture of an experts model to suggest clustering data and characterize each cluster using a linear mixed effect model. The feasibility of the proposed method is illustrated by an application to the human fibroblast data suggested by Iyer et al. (1999).
Keywords
Hierarchical Mixture of Experts; Mixture model; Linear Mixed Effect Model; Microarray;
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1 Slonim, D. (2002). From patterns to pathways: Gene Expression data analysis come of age, Nature Genetics, 32, 502-508.   DOI   ScienceOn
2 Storey, J. D., Xiao, W., Leek, J., Tomkins, R. G. and Davis, R. W. (2005). Significance analysis of time course microarray experiments, Preceedings of the National Academy of Sciences, 102, 12837-12842.   DOI   ScienceOn
3 Tamayo, P., Slonim, D., Mesirov, J., Zhu, Q., Kitareewan, S., Dmitrovsky, E., Lander, E. S. and Goulb, T. R. (1999). Interpreting patterns of gene expression with self-organizing maps: Methods and application to hematopoietic differentitation, Proceedings of the National Academy of Sciences of the United States of America, 96, 2907-2912.   DOI   ScienceOn
4 Tavazoie, S., Huges, J. D., Campbell, M. J., Cho, R. J. and Church, G. M. (1999). Systematic determination of genetic network architecture, Nature Genetics, 22, 281-285.   DOI   ScienceOn
5 Wang, L., Chen, X., Wolfinger, R. D., Franklin, J. L., Coffey, R. J. and Zhang, B. (2009). A unified mixed effects model for gene set analysis of time course microarray experiments, Statistical Applications in Genetics and Molecular Biology, 8, Article 47.
6 Yeung, K. Y., Fraley, C., Murua, A., Raftery, A. E. and Ruzzo, W. L. (2001). Model-based clustering and data transformations for gene expression data, Bioinformatics, 17, 977-987.   DOI   ScienceOn
7 Yeung, K. Y., Medvedovic, M. and Bumgarner, R. E. (2003). Clustering gene-expression data with repeated measurements, Genome Biology, 4, R34.   DOI
8 Iyer, V. R., Eisen, M. B., Ross, D. T., Schuler, G., Moore, T., Lee, J. C., Trent, J. M., Staudt, L., Hudson, J., Boguski, M., Lashkari, D., Shalon, D., Botstein, D. and Brown, P. O. (1999). The transcriptional program in the response of human fibroblasts to serum, Science, 283, 83-87.   DOI   ScienceOn
9 Jordan, M. I. and Jacobs, R. A. (1992). Hierarchies of adaptive experts, Advances in Neural Information Processing Systems, 4, 985-993.
10 Jordan, M. I. and Jacobs, R. A. (1994). Hierarchical mixtures of experts and the EM algorithm, Neural Computation, 6, 181-214.   DOI   ScienceOn
11 Little, R. J. and Rubin, D. B. (2002). Statistical Analysis with Missing Data, Wiley.
12 Kerr, M. K. and Churchill G. A. (2001). Experimental design for gene expression microarrays, Biostatistics, 2, 183-201.   DOI   ScienceOn
13 Laird, N. M. and Ware, J. H. (1982). Random effect models for longitudinal data, Biometrics, 38, 963-974.   DOI   ScienceOn
14 Lander, E. S. (1999). Array of hope, Nature Genetics, 21, 3-4.   DOI   ScienceOn
15 Luan, Y. and Li, H. (2003). Clustering of time-course gene expression data using a mixed-effects model with B-splines, Bioinformatics, 19, 474-482.   DOI   ScienceOn
16 McCullagh, P. and Nelder, J. A. (1983). Generalized Linear Models, Chapman & Hall, London.
17 McLachlan, G. J. (2008). The EM Algorithm and Extensions, Wiley.
18 Pinheiro, J. and Bates, D. (2009). Mixed-Effects Models in S and S-PLUS 2nd Ed., Springer.
19 Quackenbush, J. (2001). Computational analysis of cDNA microarray data, Nature Review Genetics, 6, 418-428.
20 Schlattmann, P. (2009). Medical Applications of Finite Mixture Models, Springer.
21 Bridle J. (1989). Probabilistic Interpretation of Feedforward Classification Network Outputs, with Relationships to Statistical Pattern Reconition, In Neurocomputing: Algorithms, Architectures, and Applications, Springer
22 Draghici, S. (2003). Data Analysis Tools for DNA Microarrays, Chapman & Hall.
23 Brown, M., Grundy, W., Lin, D., Cristianini, N., Sugnet, C., Furey, T., Ares, M. and Haussler, D. (2000). Knowledge-based analysis of microarray gene expression data by using support vector machines, Proceedings of the National Academy of Sciences of the United States of America, 97, 262-267.   DOI   ScienceOn
24 Costa, I. G., Carvalho, F. and Souto, M. (2004). Comparative analysis of clustering methods for gene expression time course data, Genetics and Molecular Biology, 27, 623-631.   DOI   ScienceOn
25 Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm, Journal of Royal Statistical Society Series B, 39, 1-38.
26 Eisen, M. B., Spellman, P. T., Brown, P. O. and Botstein, D. (1998). Cluster analysis and display of genomewide expression patterns, Proceedings of the National Academy of Sciences of the United States of America, 95, 14863-14868.   DOI   ScienceOn
27 Hartuv, E., Schmitt, A., Lange, J., Meirer-Ewert, S., Lehrach, H. and Shamir, R. (1999). An algorithm for clustering cDNAs for gene expression analysis, IN RECOMB99: Proceedings of the Third Annual International Conference on Computational Molecular Biology, Lyon, France, 188-197.
28 Hastie, T., Tibshirani, R. and Friedman, J. (2001). The Elements of Statistical Learning, Springer.