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Fractals and hidden symmetries in DNA - MaRDI portal

Fractals and hidden symmetries in DNA (Q980615)

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scientific article; zbMATH DE number 5728495
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Fractals and hidden symmetries in DNA
scientific article; zbMATH DE number 5728495

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    Fractals and hidden symmetries in DNA (English)
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    29 June 2010
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    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.
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