Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 673934, 21 pages
Research Article

On the Existence of Wavelet Symmetries in Archaea DNA

Department of Mathematics, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy

Received 13 September 2011; Revised 27 October 2011; Accepted 29 October 2011

Academic Editor: Sheng-yong Chen

Copyright © 2012 Carlo Cattani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the complex unit roots representation of archea DNA sequences and the analysis of symmetries in the wavelet coefficients of the digitalized sequence. It is shown that even for extremophile archaea, the distribution of nucleotides has to fulfill some (mathematical) constraints in such a way that the wavelet coefficients are symmetrically distributed, with respect to the nucleotides distribution.