Skip to main content

An Overview of Genomic Distances Modeled with Indels

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7921))

Abstract

The genomic distance typically describes the minimum number of large-scale mutations that transform one genome into another. Classical approaches to compute the genomic distance are usually limited to genomes with the same content and take into consideration only rearrangements that change the organization of the genome (i.e., positions and orientation of pieces of DNA, and number of chromosomes). In order to handle genomes with distinct contents, also insertions and deletions of pieces of DNA—named indels—must be allowed. Some extensions of the classical approaches lead to models that allow rearrangements and indels. In this work we introduce a new graph structure that gives a unified view of these approaches, present an overview of their results and point out some open problems related to them.

This research was supported by the agency CNPq (PROMETRO 563087/10-2).

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bafna, V., Pevzner, P.: Genome rearrangements and sorting by reversals. In: Proc. of FOCS, pp. 148–157 (1993)

    Google Scholar 

  2. Bergeron, A., Mixtacki, J., Stoye, J.: A unifying view of genome rearrangements. In: Bücher, P., Moret, B.M.E. (eds.) WABI 2006. LNCS (LNBI), vol. 4175, pp. 163–173. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  3. Braga, M.D.V., Machado, R., Ribeiro, L.C., Stoye, J.: Genomic distance under gene substitutions. BMC Bioinformatics 12(suppl. 9), S8 (2011)

    Google Scholar 

  4. Braga, M.D.V., Machado, R., Ribeiro, L.C., Stoye, J.: On the weight of indels in genomic distances. BMC Bioinformatics 12(suppl. 9), S13 (2011)

    Google Scholar 

  5. Braga, M.D.V., Willing, E., Stoye, J.: Double cut and join with insertions and deletions. J. Comp. Biol. 18(9), 1167–1184 (2011); A preliminary version appeared in Moulton, V., Singh, M. (eds.): WABI 2010. LNCS (LNBI), vol. 6293. Springer, Heidelberg (2010)

    Google Scholar 

  6. da Silva, P.H., Machado, R., Dantas, S., Braga, M.D.V.: Restricted DCJ-indel model: sorting linear genomes with DCJ and indels. In: Proc. of RECOMB-CG 2012, BMC Bioinformatics, vol. 13-S9, p. S14 (2012)

    Google Scholar 

  7. da Silva, P.H., Braga, M.D.V., Machado, R., Dantas, S.: DCJ-indel distance with distinct operation costs. In: Raphael, B., Tang, J. (eds.) WABI 2012. LNCS (LNBI), vol. 7534, pp. 378–390. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  8. El-Mabrouk, N.: Sorting signed permutations by reversals and insertions/deletions of contiguous segments. J. of Disc. Alg. 1(1), 105–122 (2001)

    MathSciNet  Google Scholar 

  9. Hannenhalli, S., Pevzner, P.: Transforming men into mice (polynomial algorithm for genomic distance problem). In: Proc. of FOCS, pp. 581–592 (1995)

    Google Scholar 

  10. Hannenhalli, S., Pevzner, P.: Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals. J. of the ACM 46, 1–27 (1999); A preliminary version appeared in Proc. of STOC 1995

    Google Scholar 

  11. Kovác, J., Warren, R., Braga, M.D.V., Stoye, J.: Restricted DCJ model (the problem of chromosome reincorporation). J. Comp. Biol. 18(9), 1231–1241 (2011)

    Article  Google Scholar 

  12. Meidanis, J., Walter, M.E.M.T., Dias, Z.: Reversal distance of signed circular chromosomes. Technical Report IC-00-23, University of Campinas (2000)

    Google Scholar 

  13. Tannier, E., Zheng, C., Sankoff, D.: Multichromosomal median and halving problems under different genomic distances. BMC Bioinformatics 10(120) (2009)

    Google Scholar 

  14. Yancopoulos, S., Attie, O., Friedberg, R.: Efficient sorting of genomic permutations by translocation, inversion and block interchange. Bioinformatics 21 (2005)

    Google Scholar 

  15. Yancopoulos, S., Friedberg, R.: DCJ path formulation for genome transformations which include insertions, deletions, and duplications. J. Comp. Biol. 16(10), 1311–1338 (2009)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Braga, M.D.V. (2013). An Overview of Genomic Distances Modeled with Indels. In: Bonizzoni, P., Brattka, V., Löwe, B. (eds) The Nature of Computation. Logic, Algorithms, Applications. CiE 2013. Lecture Notes in Computer Science, vol 7921. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39053-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-39053-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39052-4

  • Online ISBN: 978-3-642-39053-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics