IDEAL 2004: Intelligent Data Engineering and Automated Learning – IDEAL 2004 pp 1-10 | Cite as
Modelling and Clustering of Gene Expressions Using RBFs and a Shape Similarity Metric
Abstract
This paper introduces a novel approach for gene expression time-series modelling and clustering using neural networks and a shape similarity metric. The modelling of gene expressions by the Radial Basis Function (RBF) neural networks is proposed to produce a more general and smooth characterisation of the series. Furthermore, we identified that the use of the correlation coefficient of the derivative of the modelled profiles allows the comparison of profiles based on their shapes and the distributions of time points. The series are grouped into similarly shaped profiles using a correlation based fuzzy clustering algorithm. A well known dataset is used to demonstrate the proposed approach and a set of known genes are used as a benchmark to evaluate its performance. The results show the biological relevance and indicate that the proposed method is a useful technique for gene expression time-series analysis.
Keywords
Radial Basis Function Fuzzy Cluster Radial Basis Function Neural Network Membership Degree Radial Basis Function NetworkPreview
Unable to display preview. Download preview PDF.
References
- 1.Brown, P., Botstein, D.: Exploring the new world of the genome with DNA microarrays. Nature Genetics supplement 21, 33–37 (1999)CrossRefGoogle Scholar
- 2.Spellman, P.T., Sherlock, G., Zhang, M.Q., Iyer, V.R., Anders, K., Eisen, M.B., Brown, P.O., Botstein, D., Futcher, B.: Comprehensive identification of cell cycleregulated genes of yeast Saccharamyces cerevisiae by microarray hybridization. Mol. Biol. Cell 9, 3273–3297 (1998)Google Scholar
- 3.Dembélé, D., Kastner, P.: Fuzzy C-means method for clustering micoarray data. Bioinformatics 19, 973–980 (2003)CrossRefGoogle Scholar
- 4.Filkov, V., Skiena, S., Zhi, J.: Analysis techniques for microarray time-series data. Journal of Computational Biology 9, 317–330 (2002)CrossRefGoogle Scholar
- 5.Möller-Levet, C.S., Cho, K.H., Wolkenhauer, O.: Microarray data clustering based on temporal variation: FCV with TSD preclustering. Applied Bioinformatics 2, 35–45 (2003)Google Scholar
- 6.Park, J., Sandberg, I.: Approximation and radial basis function networks. Neural Computing 5, 305–316 (1993)CrossRefGoogle Scholar
- 7.Bar-Joseph, Z., Gerber, G., Gifford, D.K., Jaakkola, T.S., Simon, I.: A new approach to analyzing gene expression time series data. In: Proceedings of RECOMB, Washington DC, USA, pp. 39–48 (2002)Google Scholar
- 8.Luan, Y., Li, H.: Clustering of time-course gene expression data using a mixedeffects model with B-splines. Bioinformatics 19, 474–482 (2003)CrossRefGoogle Scholar
- 9.Chen, S., Cowan, C.F.N., Grant, P.M.: Orthogonal least squares learning algorithm for radial basis function networks. IEEE Transactions on Neural Networks 2, 302–309 (1991)CrossRefGoogle Scholar
- 10.Möller-Levet, C.S., Yin, H., Cho, K.H., Wolkenhauer, O.: Modelling gene expression time-series with radial basis function neural networks. In: Proceeding of the International Joint Conference on Neural Networks, IJCNN 2004 (2004) (to appear)Google Scholar
- 11.Bezdek, J.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)MATHGoogle Scholar
- 12.Golay, X., Kollias, S., Stoll, G., Meier, D., Valavanis, A., Boesiger, P.: A new correlation-based fuzzy logic clustering algorithm for fMRI. Magnetic Resounance Medicine 40, 249–260 (1998)CrossRefGoogle Scholar
- 13.Pakhira, M.K., Bandyopedhyay, S., Maulik, U.: Validity index for crisp and fuzzy clusters. Pattern recognition 37, 487–501 (2003)CrossRefGoogle Scholar
- 14.Yager, R.R., Filev, D.P.: Approximate Clustering Via the Mouintain Method. IEE Transactions on systems, man, and cybernetics 24, 1279–1284 (1994)CrossRefGoogle Scholar
- 15.Luan, H., Li, H.: Model-based methods for identifying periodically expressed genes based on time course microrray gene expression data. Bioinformatics 20, 332–339 (2004)CrossRefGoogle Scholar
- 16.Klevecz, R.R., Dowse, H.B.: Tuning in the transcriptome: basins of attraction in th yeast cell cycle. Cell Prolif 33, 209–218 (2000)CrossRefGoogle Scholar