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Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 628036, 11 pages
http://dx.doi.org/10.1155/2013/628036
Research Article

Structural Complexity of DNA Sequence

Department of Computer Science and Information Engineering, National Taiwan University, Taipei 10617, Taiwan

Received 10 January 2013; Accepted 3 March 2013

Academic Editor: Carlo Cattani

Copyright © 2013 Cheng-Yuan Liou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. Koslicki, “Topological entropy of DNA sequences,” Bioinformatics, vol. 27, no. 8, Article ID btr077, pp. 1061–1067, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. C. Cattani, G. Pierro, and G. Altieri, “Entropy and multi-fractality for the myeloma multiple tet 2 gene,” Mathematical Problems in Engineering, vol. 2012, Article ID 193761, 14 pages, 2012. View at Publisher · View at Google Scholar
  3. S. Manna and C. Y. Liou, “Reverse engineering approach in molecular evolution: simulation and case study with enzyme proteins,” in Proceedings of the International Conference on Bioinformatics & Computational Biology (BIOCOMP '06), pp. 529–533, 2006.
  4. R. Zhang and C. T. Zhang, “Z curves, an intutive tool for visualizing and analyzing the DNA sequences,” Journal of Biomolecular Structure and Dynamics, vol. 11, no. 4, pp. 767–782, 1994. View at Scopus
  5. P. Tiño, “Spatial representation of symbolic sequences through iterative function systems,” IEEE Transactions on Systems, Man, and Cybernetics A, vol. 29, no. 4, pp. 386–393, 1999. View at Publisher · View at Google Scholar · View at Scopus
  6. C. K. Peng, S. V. Buldyrev, A. L. Goldberger et al., “Long-range correlations in nucleotide sequences,” Nature, vol. 356, no. 6365, pp. 168–170, 1992. View at Publisher · View at Google Scholar · View at Scopus
  7. B. L. Hao, H. C. Lee, and S. Y. Zhang, “Fractals related to long DNA sequences and complete genomes,” Chaos, solitons and fractals, vol. 11, no. 6, pp. 825–836, 2000. View at Publisher · View at Google Scholar · View at Scopus
  8. C. Cattani, “Fractals and hidden symmetries in DNA,” Mathematical Problems in Engineering, vol. 2010, Article ID 507056, 31 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. C. Y. Liou, T. H. Wu, and C. Y. Lee, “Modeling complexity in musical rhythm,” Complexity, vol. 15, no. 4, pp. 19–30, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. P. Prusinkiewicz, “Score generation with lsystems,” in Proceedings of the International Computer Music Conference, pp. 455–457, 1986.
  11. P. Prusinkiewicz and A. Lindenmayer, The Algorithmic Beauty of Plants, Springer, New York, NY, USA, 1996.
  12. P. Worth and S. Stepney, “Growing music: musical interpretations of L-systems,” in Applications of Evolutionary Computing, vol. 3449 of Lecture Notes in Computer Science, pp. 545–550, Springer, Berlin, Germany, 2005.
  13. A. Lindenmayer, “Mathematical models for cellular interactions in development II. Simple and branching filaments with two-sided inputs,” Journal of Theoretical Biology, vol. 18, no. 3, pp. 300–315, 1968. View at Scopus
  14. “Wikipedia: L-system—Wikipedia, the free encyclopedia,” 2012.
  15. H. Barlow, “Unsupervised learning,” Neural Computation, vol. 1, no. 3, pp. 295–311, 1989. View at Publisher · View at Google Scholar
  16. R. Badii and A. Politi, Complexity: Hierarchical Structures and Scaling in Physics, vol. 6, Cambridge University Press, Cambridge, UK, 1999.
  17. W. Kuich, “On the entropy of context-free languages,” Information and Control, vol. 16, no. 2, pp. 173–200, 1970. View at Scopus
  18. T. Togawa, K. Otsuka, S. Hiki, and H. Kitaoka, “Complexity of chinese characters,” Forma, vol. 15, pp. 409–414, 2001.