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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.

### MSC:

92C40 | Biochemistry, molecular biology |

28A80 | Fractals |

42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |

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\textit{C. Cattani}, Math. Probl. Eng. 2010, Article ID 507056, 31 p. (2010; Zbl 1189.92015)

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