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doi:10.1038/npre.2007.1461.1
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Analysis of DNA structure as a 2D random walk by complex wavelet transform

Eugene B. Postnikov1, Alexander Y. Loskutov2, Sergey A. Larionov2, Evgeny V. Ryadchenko2, & Roman V. Kiseliov1

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  1. Kursk State University
  2. Moscow State University
Document Type:
Poster
Date:
Received 24 December 2007 15:14 UTC; Posted 28 December 2007
Subjects:
Genetics, Bioinformatics
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Abstract:

We propose the original method of the time-scale wavelet analysis of DNA sequence represented as a 2D walk on a complex plane. Namely, we consider the mapping of two irreducible A − T and G − C sequences into a walk trajectory in the plane AGTC (firstly proposed by M. Gates) as a unique complex-valued function.
This function is processed with the new algorithm of the continuous wavelet transform with the Morlet wavelet. This method is based on the representation of the transform’s result as a solution of the specific Cauchy problem for the system of PDE.
As an example, we applied the described algorithm to a part of the telomer region of the 22 human chromosome and demonstated the high exactness. Moreover, it is very fast and it provides wide opportunities for the analysis of large genome data samples.

Presented at:
Netherlands Bioinformatics Conference/ 4th International Symposium on Networks in Bioinformatics , 16 April 2007

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This document is licensed to the public under the Creative Commons Attribution 3.0 License
How to cite this document:

Postnikov, Eugene, Loskutov, Alexander, Larionov, Sergey, Ryadchenko, Evgeny, and Kiseliov, Roman. Analysis of DNA structure as a 2D random walk by complex wavelet transform. Available from Nature Precedings <http://dx.doi.org/10.1038/npre.2007.1461.1> (2007)

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