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Fixed-Parameter Algorithms for Protein Similarity Search Under mRNA Structure Constraints

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Graph-Theoretic Concepts in Computer Science (WG 2005)

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Abstract

In the context of protein engineering, we consider the problem of computing an mRNA sequence of maximal codon-wise similarity to a given mRNA (and consequently, to a given protein) that additionally satisfies some secondary structure constraints, the so-called MRSO problem [2]. Since the MRSO problem is known to be APX-hard [8], Bongartz proposed in [8] to attack the problem using the concept of parameterized complexity. In this paper we follow this suggested approach by devising fixed-parameter algorithms for several interesting parameters of MRSO. We believe these algorithms to be relevant for practical applications today, as well as for several future applications. Furthermore, our results extend the known tractability borderline of MRSO, and provide new research horizons for further improvements of this sort.

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References

  1. Backofen, R., Busch, A.: Computational design of new and recombinant selenoproteins. In: Sahinalp, S.C., Muthukrishnan, S.M., Dogrusoz, U. (eds.) CPM 2004. LNCS, vol. 3109, pp. 270–284. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Backofen, R., Narayanaswamy, N.S., Swidan, F.: On the complexity of protein similarity search under mRNA structure constraints. In: Alt, H., Ferreira, A. (eds.) STACS 2002. LNCS, vol. 2285, pp. 274–286. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Backofen, R., Narayanaswamy, N.S., Swidan, F.: Protein similarity search under mRNA structural constraints: application to targeted selenocystein insertion. In Silico Biology 2(3), 275–290 (2002)

    Google Scholar 

  4. Biedl, T.C., Kant, G., Kaufmann, M.: On triangulating planar graphs under the four-connectivity constraints. Algorithmica 19, 427–446 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  5. Böch, A., Forchhammer, K., Heider, J., Baron, C.: Selenoprotein synthesis: a review. Trends in Biochemical Sciences 16(2), 463–467 (1991)

    Article  Google Scholar 

  6. Bodlaender, H.L.: Classes of graphs with bounded tree-width. Research Report RUU-CS-86-22, Utrecht University, Padualaan 14, Utrecht, The Netherlands (December 1986)

    Google Scholar 

  7. Bodlaender, H.L., Downey, R.G., Fellows, M.R., Hallett, M.T., Wareham, H.T.: Parameterized complexity analysis in computational biology. Computer Applications in the Biosciences 11, 49–57 (1995)

    Google Scholar 

  8. Bongartz, D.: Some notes on the complexity of protein similarity search under mRNA structure constraints. In: Van Emde Boas, P., Pokorný, J., Bieliková, M., Štuller, J. (eds.) SOFSEM 2004. LNCS, vol. 2932, pp. 174–183. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Chung, F.R., Seymour, P.D.: Graphs with small bandwidth and cutwidth. Discrete Math. 75(1-3), 113–119 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  10. Downey, R., Fellows, M.: Parameterized Complexity. Springer, Heidelberg (1999)

    Google Scholar 

  11. Jacks, T., Power, M., Masiarz, F., Luciw, P., Barr, P., Varmus, H.: Characterization of ribosomal frameshifting in HIV-1 gag-pol expression. Nature 331, 280–283 (1988)

    Article  Google Scholar 

  12. Jacks, T., Varmus, H.: Expression of the Rous sarcoma virus pol gene by ribosomal frameshifting. Science 230, 1237–1242 (1985)

    Article  Google Scholar 

  13. Korach, E., Solel, N.: Tree-width, path-width, and cutwidth. Discrete Applied Mathematics 43(1), 97–101 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  14. Lin, G., Chen, Z.-Z., Jiang, T., Wen, J.: The longest common subsequence problem for sequences with nested arc annotations. Journal of Computer and System Sciences 65(3), 465–480 (2002) Special issue on computational biology

    Article  MATH  MathSciNet  Google Scholar 

  15. Robertson, N., Seymour, P.D.: Graph minors II: algorithmic aspects of tree-width. Journal of Algorithms 7, 309–322 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  16. Wald, J.A., Colbourn, C.J.: Stiener trees, partial 2-trees, and minimum ifi networks. Networks 13, 159–167 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  17. Yannakakis, M.: Embedding planar graphs in four pages. Journal of Computer and System Sciences 38, 36–67 (1986)

    Article  MathSciNet  Google Scholar 

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Blin, G., Fertin, G., Hermelin, D., Vialette, S. (2005). Fixed-Parameter Algorithms for Protein Similarity Search Under mRNA Structure Constraints. In: Kratsch, D. (eds) Graph-Theoretic Concepts in Computer Science. WG 2005. Lecture Notes in Computer Science, vol 3787. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11604686_24

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  • DOI: https://doi.org/10.1007/11604686_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31000-6

  • Online ISBN: 978-3-540-31468-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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