Fractals and Hidden Symmetries in DNA

Author

Cattani, Carlo

Source

Mathematical Problems in Engineering

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-31, 31 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-06-15

Country of Publication

Egypt

No. of Pages

31

Main Subjects

Civil Engineering

Abstract EN

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.

American Psychological Association (APA)

Cattani, Carlo. 2010. Fractals and Hidden Symmetries in DNA. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-31.
https://search.emarefa.net/detail/BIM-477105

Modern Language Association (MLA)

Cattani, Carlo. Fractals and Hidden Symmetries in DNA. Mathematical Problems in Engineering No. 2010 (2010), pp.1-31.
https://search.emarefa.net/detail/BIM-477105

American Medical Association (AMA)

Cattani, Carlo. Fractals and Hidden Symmetries in DNA. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-31.
https://search.emarefa.net/detail/BIM-477105

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-477105