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Curvature Based Clustering for DNA Microarray Data Analysis

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Pattern Recognition and Image Analysis (IbPRIA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3523))

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Abstract

Clustering is a technique extensively employed for the analysis, classification and annotation of DNA microarrays. In particular clustering based upon the classical combinatorial curvature is widely applied. We introduce a new clustering method for vertex-weighted networks, method which is based upon a generalization of the combinatorial curvature. The new measure is of a geometric nature and represents the metric curvature of the network, perceived as a finite metric space. The metric in question is natural one, being induced by the weights. We apply our method to publicly available yeast and human lymphoma data. We believe this method provides a much more delicate, graduate method of clustering then the other methods which do not undertake to ascertain all the relevant data. We compare our results with other works. Our implementation is based upon Trixy (as available at http://tagc.univ-mrs.fr/bioinformatics/trixy.html ), with some appropriate modifications to befit the new method.

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References

  1. Ben-Dor, A., Shamir, R., Yakhini, Z.: Clustering Gene Expression Patterns. Journal of Computational Biology 6(3/4), 281–297 (1999)

    Article  Google Scholar 

  2. Blumenthal, L.M.: Distance Geometry – Theory and Applications. Claredon Oxford (1953)

    Google Scholar 

  3. Blumenthal, L.M., Menger, K.: Studies in Geometry. Freeman and Co, San Francisco (1970)

    MATH  Google Scholar 

  4. Duret, L., Mouchiroud, D.: Expression pattern and, surprisingly, gene length shape codon usage Caenorharbditis, Drosophila and Arabidopsis. Proc. Nat. Acad. Sci. USA 96, 4482–4487 (1997)

    Article  Google Scholar 

  5. Eckmann, J.-P., Moses, E.: Curvature of co-links uncovers hidden thematic layers in the World Wide Web. PNAS 99, 175–181 (2002)

    Article  MathSciNet  Google Scholar 

  6. Eisen, M.B., Spellman, P.T., Brown, P.O., Botstein, D.: Cluster analysis and display of genome-wide expression patterns. Proc. Natl. Acad. Sci. USA 95, 14828–14863 (1998)

    Article  Google Scholar 

  7. Farkas, I.J., Jeong, H., Vicsek, T., Barabasi, A.-L., Oltvai, Z.N.: The topology of the transcription regulatory network in the yeast, S. cerevisiae. Physica A (2004) (accepted)

    Google Scholar 

  8. Hu, X., Han, J.: Discovering Clusters from Large Scale-Free Network Graph (2004) (preprint)

    Google Scholar 

  9. Hartuv, E., Shamir, R.: A Clustering Algorithm based on Graph Connectivity. Information Processing Letters 76, 175–181 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  10. Rougemont, J., Hingamp, P.: DNA microarray data and contextual analysis of correlation graphs. BMC Bioinformatics 4, 15 (2003)

    Article  Google Scholar 

  11. Saucan, E., Appleboim, E.: Can One See the Shape of a Network? – Geometric Viewpoint of Information Flow preprint (2004)

    Google Scholar 

  12. Wagner, A., Fell, D.A.: The small world inside large metabolic networks. Proc. R. Soc. Lond. B. 268, 1803–1810 (2001)

    Article  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Saucan, E., Appleboim, E. (2005). Curvature Based Clustering for DNA Microarray Data Analysis. In: Marques, J.S., Pérez de la Blanca, N., Pina, P. (eds) Pattern Recognition and Image Analysis. IbPRIA 2005. Lecture Notes in Computer Science, vol 3523. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11492542_50

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  • DOI: https://doi.org/10.1007/11492542_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26154-4

  • Online ISBN: 978-3-540-32238-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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