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Fuzzy classification of nucleotide sequences and bacterial evolution

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Abstract

A new method for reconstructing evolutionary relationship among bacteria by use of rRNA sequence data is proposed. The method is based on the concept of fuzzy classification of probabilitiesp(i), p(i/j) andp(i/j*) (i=A,G,C,U) of each sequence. The resulting partition tree shares common features of previous works but has some new peculiarities.

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References

  • Bernardi, G. and G. Bernardi. 1986. Compositional constraints and genome evolution.J. Mol. Evol. 24, 1–11.

    Article  Google Scholar 

  • Blaisdell, B. E. 1986. A measure of the similarity of sets of sequences not requiring sequence alignment.Proc. Nat. Acad. Sci. 83, 5155–5159.

    Article  MATH  Google Scholar 

  • Fitch, W. M. 1986. Unsolved problems in DNA sequence analysis.Lect. Math. Life Sci. 17, 1–18.

    MathSciNet  Google Scholar 

  • Gatlin, L. 1972.Information Theory and the Living System. Columbia University Press.

  • Kulback, S. 1951.Information Theory and Statistics. New York: Wiley.

    Google Scholar 

  • Lake, J. A.,1987. Prokaryotes and archaebacteria are not monophyletic.Cold Spring Harbor Symposia on Quantitative Biology 52, 839–846.

    Google Scholar 

  • Lake, J. A., E. Henderson, M. Oakes, M. W. Clark. 1984. Eocytes: a new ribosome structure indicates a kingdom with a close relationship to eukaryotes.Proc. Natl. Acad. Sci. 81, 3786.

    Article  Google Scholar 

  • Luo, L. F., H. Li. 1991. The statistical correlation of nucleotides in protein-coding DNA sequences.Bull. math. Biol. 53, 345–353.

    Article  MATH  Google Scholar 

  • Luo, L. F., L. Tsai and Y. M. Zhou. 1988. Informational parameters of nucleic acid and molecular evolution.J. Theor. Biol. 130, 351–361.

    Article  Google Scholar 

  • Luo, L. F. and L. E. H. Trainor. 1992. A stochastic evolutionary model of molecular sequences.J. Theor. Biol. 157, 83–94.

    Article  Google Scholar 

  • Olson, G. J. 1987. Earliest phylogenetic branchings: comparing rRNA-based evolutionary trees inferred with various techniques.Cold Spring Harbor Symposia on Quantitative Biology 52, 825–837.

    Google Scholar 

  • Woese, C. R. 1987. Bacterial evolution.Microbiol. Rev. 51, 221–271.

    Google Scholar 

  • Woese, C. R. 1991. The use of rRNA in reconstructing evolutionary relationships among bacteria. InEvolution at the Molecular Level, R. K. Selander (Ed.), p. 1. Sinauer Associates Inc.

  • Woese, C. R. and G. E. Fox. 1977. The concept of cellular evolution.J. Mol. Evol. 10, 1–6.

    Article  Google Scholar 

  • Zadeh, L. A. 1971. Similarity relation and fuzzy orderings.Inf. Sci. 3, 177–206.

    Article  MATH  MathSciNet  Google Scholar 

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Luo, L., Ji, F. & Li, H. Fuzzy classification of nucleotide sequences and bacterial evolution. Bltn Mathcal Biology 57, 527–537 (1995). https://doi.org/10.1007/BF02460781

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  • DOI: https://doi.org/10.1007/BF02460781

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