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Descrambling Order Analysis in Ciliates

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Unconventional Computation and Natural Computation (UCNC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10240))

Abstract

Certain genera of ciliates undergo a large genomic transformation, where many segments get rearranged and removed. A topic of interest is to predict a (partial) order on the rearrangement of segments to descramble. Similar to phylogenetic analysis, this prediction can be based on the principle of parsimony, whereby the smallest sequence of operations is likely close to the actual number. The Oxytricha trifallax genome is analyzed, providing evidence that multiple parallel recombination operations occur during descrambling, with alignment of interleaving segments in a manner that can be captured with the shuffle operation. Two similar systems involving shuffle are created, an optimal algorithm for each is created, and executed on the genomic data. One system can descramble \(96.63\%\) of the scrambled micronuclear chromosome fragments by 1 or 2 applications of shuffle, and every sequence can be descrambled with at most seven operations.

I. McQuillan—Supported, in part, by a grant from the Natural Sciences and Engineering Council of Canada.

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References

  1. Angeleska, A., Jonoska, N., Saito, M.: DNA recombination through assembly graphs. Discret. Appl. Math. 157(14), 3020–3037 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  2. Angeleska, A., Jonoska, N., Saito, M.: Rewriting rule chains modeling DNA rearrangement pathways. Theoret. Comput. Sci. 454, 5–22 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  3. Burns, J., Kukushkin, D., Chen, X., Landweber, L.F., Saito, M., Jonoska, N.: Recurring patterns among scrambled genes in the encrypted genome of the ciliate Oxytricha trifallax. J. Theor. Biol. 410, 171–180 (2016)

    Article  MATH  Google Scholar 

  4. Chen, X., Bracht, J.R., Goldman, A.D., Dolzhenko, E., Clay, D.M., Swart, E.C., Perlman, D.H., Doak, T.G., Stuart, A., Amemiya, C.T., Sebra, R.P., Landweber, L.F.: The architecture of a scrambled genome reveals massive levels of genomic rearrangement during development. Cell 158(5), 1187–1198 (2014)

    Article  Google Scholar 

  5. Ehrenfeucht, A., Prescott, D.M., Rozenberg, G.: Computational aspects of gene (un)scrambling in ciliates. In: Landweber, L.F., Winfree, E. (eds.) Evolution as Computation. Natural Computing Series, pp. 216–256. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  6. Herlin, J.L., Nelson, A., Scheepers, M.: Using ciliate operations to construct chromosome phylogenies. Involv. J. Math. 9(1), 1–26 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  7. Jones, N.C., Pevzner, P.: An Introduction to Bioinformatics Algorithms. MIT Press, Cambridge (2004)

    Google Scholar 

  8. Keil, J.M., Liu, J., McQuillan, I.: Algorithmic properties of ciliate sequence alignment. Theoret. Comput. Sci. 411(6), 919–925 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  9. Khan, N.A.: Chromosome descrambling order analysis in ciliates. Master’s thesis, University of Saskatchewan, Saskatoon (2016)

    Google Scholar 

  10. Landweber, L.F., Kari, L.: The evolution of cellular computing: nature’s solution to a computational problem. Biosystems 52(1), 3–13 (1999)

    Article  Google Scholar 

  11. Landweber, L.F., Kuo, T.C., Curtis, E.A.: Evolution and assembly of an extremely scrambled gene. PNAS 97(7), 3298–3303 (2000)

    Article  Google Scholar 

  12. Meyer, G., Lipps, H.: Chromatin elimination in the hypotrichous ciliate Stylonychia mytilus. Chromosoma 77(3), 285–297 (1980)

    Article  Google Scholar 

  13. Meyer, G., Lipps, H.: The formation of polytene chromosomes during macronuclear development of the hypotrichous ciliate Stylonychia mytilus. Chromosoma 82(2), 309–314 (1981)

    Article  Google Scholar 

  14. Meyer, G., Lipps, H.: Electron microscopy of surface spread polytene chromosomes of Drosophila and Stylonychia. Chromosoma 89(2), 107–110 (1984)

    Article  Google Scholar 

  15. Möllenbeck, M., Zhou, Y., Cavalcanti, A.R., Jönsson, F., Higgins, B.P., Chang, W.J., Juranek, S., Doak, T.G., Rozenberg, G., Lipps, H.J., et al.: The pathway to detangle a scrambled gene. PLoS One 3(6), e2330 (2008)

    Article  Google Scholar 

  16. Prescott, D.M., Ehrenfeucht, A., Rozenberg, G.: Molecular operations for DNA processing in hypotrichous ciliates. Eur. J. Protistol. 37(3), 241–260 (2001)

    Article  Google Scholar 

  17. Prescott, D.M., Rozenberg, G.: How ciliates manipulate their own DNA–a splendid example of natural computing. Nat. Comput. 1(2–3), 165–183 (2002)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Nazifa Azam Khan .

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Khan, N.A., McQuillan, I. (2017). Descrambling Order Analysis in Ciliates. In: Patitz, M., Stannett, M. (eds) Unconventional Computation and Natural Computation. UCNC 2017. Lecture Notes in Computer Science(), vol 10240. Springer, Cham. https://doi.org/10.1007/978-3-319-58187-3_16

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  • DOI: https://doi.org/10.1007/978-3-319-58187-3_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-58186-6

  • Online ISBN: 978-3-319-58187-3

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