Skip to main content

Algorithms for Calling Gains and Losses in Array CGH Data

  • Protocol
  • First Online:
Microarray Analysis of the Physical Genome

Part of the book series: Methods in Molecular Biology™ ((MIMB,volume 556))

Abstract

In this chapter, we introduce a few statistical algorithms for calling gains and losses in array-based comparative genomic hybridization (array CGH) data, including CBS, CLAC, CGHseg, and Fused Lasso. We illustrate the performance of the methods through simulated and real data examples. We also provide brief guidance on how to use the corresponding software at the end of this chapter.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Protocol
USD 49.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Pollack, J., Sorlie, T., Perou, C., Rees, C., Jeffrey, S., Lonning, P., Tibshirani, R., Botstein, D., Borresen-dale, A. and Brown, P. (2002). Microarray analysis reveals a major direct role of DNA copy number alteration in the transcriptional program of human breast tumors. Proc. Natl. Acad. Sci. USA 99, 12963–12968.

    Article  PubMed  CAS  Google Scholar 

  2. Hodgson, G., Hager, J., Volik, S., Hariono, S., Wernick, M., Moore, D., Nowak, N., Albertson, D., Pinkel, D., Collins, C., Hanahan, D. and Gray, J.W. (2001). Genome scanning with array CGH delineates regional alterations in mouse islet carcinomas. Nat. Genet. 29, 491.

    Article  CAS  Google Scholar 

  3. Cheng, C., Kimmel, R., Nelman, P. and Zhao, L.P. (2003). Array rank order regression analysis for the detection of gene copy-number changes in human cancer. Genomics 82, 122–129.

    Article  PubMed  CAS  Google Scholar 

  4. Lingjaerde, O., Baumbusch, L., Liestol, K., Glad, I. and AL, B.-D. (2005). CGH-explorer: a program for analysis of array-CGH data. Bioinformatics 21(6).

    Google Scholar 

  5. Fridlyand, J., Snijders, A.M., Pinkel, D., Albertson, D.G. and Jain, A.N. (2004). Hidden Markov models approach to the analysis of array CGH data. J. Multivariate Anal. 90, 132–153.

    Article  Google Scholar 

  6. Olshen, A. and Venkatraman, E. (2004). Circular binary segmentation for the analysis of array-based DNA copy number data. Biostatistics 5, 557–572.

    Article  PubMed  Google Scholar 

  7. Vostrikova, L.J. (1981). Detecting ‘disorder’ in multidimensional random processes. Sov. Math. Dokl. 24, 55–59.

    Google Scholar 

  8. Zhang, N.R. and Siegmund, D.O. (2007). A modified Bayes information criterion with applications to the analysis of comparative genomic hybridization data. Biometrics 63, 22–32.

    Article  PubMed  CAS  Google Scholar 

  9. Lai, T.L., Xing, H.P. and Zhang, N.R. (2007). Stochastic segmentation models for array-based comparative genomic hybridization data analysis. Biostatistics, doi:10.1093/biostatistics/kxm031

    Google Scholar 

  10. Wang, P., Kim, Y., Pollack, J., Narasimhan, B. and Tibshirani, R. (2005). A method for calling gains and losses in array CGH data. Biostatistics 6, 45–58.

    Article  PubMed  Google Scholar 

  11. Myers, C.L., Dunham, M.J., Kung, S.Y. and Troyanskaya, O.G. (2004). Accurate detection of aneuploidies in array CGH and gene expression microarray data. Bioinformatics 20, 3533–3543.

    Article  PubMed  CAS  Google Scholar 

  12. Lipson, D., Aumann, Y., Ben-Dor, A., Linial, N. and Yakhini, Z. (2005). Efficient calculation of interval scores for DNA copy number data analysis. In Proceedings of RECOMB 05. Springer-Verlag, Cambridge, MA.

    Google Scholar 

  13. Hupe, P., Stransky, N., Thiery, J.-P., Radvanyi, F. and Barillot, E. (2004). Analysis of array CGH data: from signal ratio to gain and loss of DNA regions. Bioinformatics. 20, 3413–3422.

    Article  PubMed  CAS  Google Scholar 

  14. Picard, F., Robin, S., Lavielle, M., Vaisse, C. and Daudin, J.J. (2005). A statistical approach for array CGH data analysis. BMC Bioinform. 11, 6–27.

    Google Scholar 

  15. Hsu, L., Self, S.G., Grove, D., Randolph, T., Wang, K., Delrow, J.J., Loo, L. and Porter, P. (2005). Denoising array-based comparative genomic hybridization data using wavelets. Biostatistics. 6, 211–226.

    Article  PubMed  Google Scholar 

  16. Tibshirani, R. and Wang, P. (2007). Spatial smoothing and hot spot detection for CGH data using the fused lasso. Biostatistics, doi:10.1093/biostatistics/kxm013.

    Google Scholar 

  17. Tibshirani, R., Saunders, M., Rosset, S., Zhu, J. and Knight, K. (2004). Sparsity and smoothness via the fused lasso. J. R. Stat. Soc. B. 67(1), 91–108.

    Article  Google Scholar 

  18. Eilers, P.H. and de Menezes, R.X. (2005). Quantile smoothing of array CGH data. Bioinformatics 21(7), 1146–1153.

    Article  PubMed  CAS  Google Scholar 

  19. Li, Y. and Zhu, J. (2007). Analysis of array CGH data for cancer studies using the fused quantile regression. Bioinformatics 23, 2470–2476.

    Article  PubMed  CAS  Google Scholar 

  20. Wen, C., Wu, Y., Huang, Y., Chen, W., Liu, S., Jiang, S., Juang, J., Lin, C., Fang, W., Hsiung, C. and Chang, I. (2006). A Bayes regression approach to array-CGH data. Stat. Appl. Mol. Biol. Berkeley Electron. Press 5(1), 3.

    Google Scholar 

  21. Engler, D., Mohapatra, G., Louis, D. and Betensky, R. (2006). A pseudolikelihood approach for simultaneous analysis of array comparative genomic hybridizations. Biostatistics 7(3), 399–421.

    Article  PubMed  Google Scholar 

  22. Lai, W.R., Johnson, M.D., Kucherlapati, R. and Park, P.J.(2005). Comparative analysis of algorithms for identifying amplifications and deletions in array CGH data. Bioinformatics 21(19), 3763–3770.

    Article  PubMed  CAS  Google Scholar 

  23. Venkatraman, E.S. and Olshen, A.B. (2007). A faster circular binary segmentation algorithm for the analysis of array CGH data. Bioinformatics 23 (6), 657–663.

    Article  PubMed  CAS  Google Scholar 

  24. Siegmund, D.O. (1988). Approximate tail probabilities for the maxima of some random fields. Ann. Probab. 16, 487–501.

    Article  Google Scholar 

  25. Yao, Q. (1989). Large deviations for boundary crossing probabilities of some random fields. J. Math. Res. Exposit. 9, 181–192.

    Google Scholar 

  26. Hastie, T., Tibshirani, R. and Friedman, J. (2001). The Elements of Statistical Learning. Springer, New York, NY, p. 475.

    Google Scholar 

  27. Benjamini, Y. and Hochberg, Y. (1995). Controlling the false discovery rate: a practical and powerful approach to multiple testing. J. R. Stat. Soc. B 57(1), 289–300.

    Google Scholar 

  28. Tusher, V., Tibshirani, R. and Chu, G. (2001). Significance analysis of microarrays applied to the ionizing radiation response. Proc. Natl. Acad. Sci. USA 98, 5116–5121.

    Article  PubMed  CAS  Google Scholar 

  29. Storey, J. (2002). A direct approach to false discovery rates. J. R. Stat. Soc. 64(3), 479–498.

    Article  Google Scholar 

  30. Efron, B. and Tibshirani, R. (2002). Microarrays, empirical Bayes methods, and false discovery rates. Genetic Epidemiology 23(1), 70–86.

    Article  PubMed  Google Scholar 

  31. Tibshirani, B. (1996). Regression shrinkage and selection via the lasso. J. R. Stat. Soc. Ser. B 58, 267–288.

    Google Scholar 

  32. Friedman, J., Hastie, T. and Tibshirani, R. (2007). Pathwise coordinate optimization. Ann. Appl. Stat. 1(2), 302–332.

    Article  Google Scholar 

  33. Becker, R.A., Chambers, J.M. and Wilks, A.R. (1988). The New S Language. Wadsworth Brooks Cole, Pacific Grove, CA.

    Google Scholar 

  34. Ruppert, D., Wand, M.P. and Carroll, R. (2003). Semiparametric Regression. Cambridge University Press, New York.

    Book  Google Scholar 

  35. Bredel, M., Bredel, C., Juric, D., Harsh, G.R., Vogel, H., Recht, L.D. and Sikic, B.I. (2005). High-resolution genome-wide mapping of genetic alterations in human glial brain tumors. Cancer Res. 65, 4088–4096.

    Article  PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Humana Press, a part of Springer Science+Business Media, LLC

About this protocol

Cite this protocol

Wang, P. (2009). Algorithms for Calling Gains and Losses in Array CGH Data. In: Pollack, J. (eds) Microarray Analysis of the Physical Genome. Methods in Molecular Biology™, vol 556. Humana Press. https://doi.org/10.1007/978-1-60327-192-9_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-60327-192-9_8

  • Published:

  • Publisher Name: Humana Press

  • Print ISBN: 978-1-60327-191-2

  • Online ISBN: 978-1-60327-192-9

  • eBook Packages: Springer Protocols

Publish with us

Policies and ethics