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Fractals and hidden symmetries in DNA. (English) Zbl 1189.92015
Summary: This paper deals with the digital complex representation of a DNA sequence and the analysis of existing correlations by wavelets. The symbolic DNA sequence is mapped into a nonlinear time series. By studying this time series the existence of fractal shapes and symmetries will be shown. At a first step, the indicator matrix enables us to recognize some typical patterns of nucleotide distributions. The DNA sequence of the influenza virus A (H1N1) is investigated by using the complex representation, together with the corresponding walks on DNA; in particular, it is shown that DNA walks are fractals. Finally, by using wavelet analysis, the existence of symmetries is proven.

92C40 Biochemistry, molecular biology
28A80 Fractals
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
Full Text: DOI EuDML
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