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Testing Structure Freeness of Regular Sets of Biomolecular Sequences

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Book cover DNA Computing (DNA 2004)

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Abstract

\(p\ {\overset{x}{\rightarrow}}\ q\) This paper discusses a problem of checking the structure freeness of DNA and RNA sequences. A set R of sequences over Σ is said to be structure free if for every αR, the minimum free energy of α is greater than or equal to 0. It was open whether or not there exists a polynomial time algorithm for testing the structure freeness of a given regular set R. In this paper, we will solve this problem.

This work is supported in part by Grant-in-Aid for Scientific Research on Priority Area No.14085205, Ministry of Education, Culture, Sports, Science and Technology, Japan. It was also supported in part by Grant-in-Aid for Exploratory Research NO.13878054, Japan Society for the Promotion of Science.

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References

  1. Adleman, L.: Molecular Computation of Solutions to Combinatorial Problems. Science 266, 1021–1024 (1994)

    Article  Google Scholar 

  2. Andronescu, M., Dees, D., Slaybaugh, L., Zhao, Y., Condon, A., Cohen, B., Skiena, S.: Algorithms for testing that DNA word designs avoid unwanted secondary structure. In: Proc. of 8th International Meeting on DNA Based Computers, pp. 92–104 (2002)

    Google Scholar 

  3. Brenneman, A., Condon, A.E.: Strand Design for Bio-Molecular Computation. Theoretical Computer Science 287, 39–58 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Condon, A.E.: Problems on RNA Secondary Structure Prediction and Design. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 22–32. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  5. Hofacker, I.L., Fontana, W., Stadler, P.F., Bonhoeffer, L.S., Tacker, M., Schuster, P.: Fast Folding and Comparison of RNA Secondary Structures (The Vienna RNA Package). Monatshefte für Chemie 125, 167–188 (1994)

    Article  Google Scholar 

  6. Johnson, D.S.: Efficient Algorithms for Shortest Paths in Sparse Networks. Journal of the ACM 24, 1–13 (1977)

    Article  MATH  Google Scholar 

  7. Kobayashi, S., Yokomori, T., Sakakibara, Y.: An Algorithm for Testing Structure Freeness of Biomolecular Sequences. In: Jonoska, N., Păun, G., Rozenberg, G. (eds.) Aspects of Molecular Computing. LNCS, vol. 2950, pp. 266–277. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  8. Sankoff, D., Kruskal, J.B., Mainville, S., Cedergren, R.J.: Fast Algorithms to Determine RNA Secondary Structures Containing Multiple Loops. In: Sankoff, D., Kruskal, J. (eds.) Time Warps, String Edits, and Macromolecules: The Theory and Practice of Sequence Comparison, ch. 3, pp. 93–120 (1983)

    Google Scholar 

  9. Zuker, M., Steigler, P.: Optimal Computer Folding of Large RNA Sequences using Thermodynamics and Auxiliary Information. Nucleic Acids Research 9, 133–148 (1981)

    Article  Google Scholar 

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Kobayashi, S. (2005). Testing Structure Freeness of Regular Sets of Biomolecular Sequences. In: Ferretti, C., Mauri, G., Zandron, C. (eds) DNA Computing. DNA 2004. Lecture Notes in Computer Science, vol 3384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11493785_17

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  • DOI: https://doi.org/10.1007/11493785_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26174-2

  • Online ISBN: 978-3-540-31844-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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