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Pairwise alignment of the DNA sequence using hypercomplex number representation

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Abstract

A new set of DNA base-nucleic acid codes and their hypercomplex number representation have been introduced for taking the probability of each nucleotide into full account. A new scoring system has been proposed to suit the hypercomplex number representation of the DNA base-nucleic acid codes and incorporated with the method of dot matrix analysis and various algorithms of sequence alignment. The problem of DNA sequence alignment can be processed in a rather similar way to pairwise alignment of the protein sequence.

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References

  • Durbin, R., S. R. Eddy, A. Krogh and G. Mitchison (1998). Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids, Cambridge: Cambridge University Press.

    Google Scholar 

  • Lim, C. W. and J.-J. Shu (2001). On DNA modelling: interaction of a double helicoidal structure with viscous bio-fluid. Automedica 20, 297–312.

    Google Scholar 

  • Lim, C. W. and J.-J. Shu (2002). Studies on a DNA double helicoidal structure immersed in viscous bio-fluid, in: ICCN 2002, Proceedings of the Second International Conference on Computational Nanoscience and Nanotechnology, San Juan Marriott Resort and Stellaris Casino, San Juan, Puerto Rico, pp. 387–390.

    Google Scholar 

  • Mount, D. W. (2001). Bioinformatics: Sequence and Genome Analysis, New York: Cold Spring Harbour Laboratory Press.

    Google Scholar 

  • Needleman, S. B. and C. D. Wunsch (1970). A general method applicable to the search for similarities in the amino acid sequence of two proteins. J. Mol. Biol. 48, 443–453.

    Article  Google Scholar 

  • Smith, T. F. and M. S. Waterman (1981). Comparison of bio-sequences. Adv. Appl. Math. 2, 482–489.

    Article  MathSciNet  Google Scholar 

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Correspondence to Jian-Jun Shu.

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Shu, JJ., Ouw, L.S. Pairwise alignment of the DNA sequence using hypercomplex number representation. Bull. Math. Biol. 66, 1423–1438 (2004). https://doi.org/10.1016/j.bulm.2004.01.005

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  • DOI: https://doi.org/10.1016/j.bulm.2004.01.005

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