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Fractals and Hidden Symmetries in DNA

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  • Carlo Cattani

Abstract

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 first step, the indicator matrix enables us to recognize some typical patterns of nucleotide distribution. 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 the wavelet analysis, the existence of symmetries is proven.

Suggested Citation

  • Carlo Cattani, 2010. "Fractals and Hidden Symmetries in DNA," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-31, June.
    • Handle: RePEc:hin:jnlmpe:507056
    DOI: 10.1155/2010/507056
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    Cited by:

    1. Majed S. Balalaa & Anouar Ben Mabrouk & Habiba Abdessalem, 2021. "A Wavelet-Based Method for the Impact of Social Media on the Economic Situation: The Saudi Arabia 2030-Vision Case," Mathematics, MDPI, vol. 9(10), pages 1-21, May.
    2. Monika Khandelwal & Sabha Sheikh & Ranjeet Kumar Rout & Saiyed Umer & Saurav Mallik & Zhongming Zhao, 2022. "Unsupervised Learning for Feature Representation Using Spatial Distribution of Amino Acids in Aldehyde Dehydrogenase (ALDH2) Protein Sequences," Mathematics, MDPI, vol. 10(13), pages 1-20, June.

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