Publication detail

Power Spectrum Method for the Processing of the DNA in the Genome Sequencing

FIALA, P. VALLA, M. GESCHEIDTOVÁ, E.

Original Title

Power Spectrum Method for the Processing of the DNA in the Genome Sequencing

Type

conference paper

Language

English

Original Abstract

The fractal systems are broadly found throughout the nature, generally in any scale. For each dimension (1D, 2D . . . ) in any structures and in any mathematical algorithms or in any object (sequence, line, square) its dimension can be calculated. These dimensions are speci¯c parameters for description of the DNA sequence characters ACGT strings. Generally a ¯rst step consists in the converting of a one-dimensional sequence into the image. In the second step, the method for calculating the dimensions for all scales is selected. For the calculations of the above mentioned dimensions the Power Spectrum (PS) method has been proposed and examined. The Power Spectrum method provides universal calculation of dimension and it allows to obtain the resulting multifractal coe±cient. The multifractal coe±cient represents the means rate of approximation to ideal power spectrum. It has to be emphasized that the multifractal coe±cient is independent of any scale to be chosen. Moreover, the multifractal coe±cient serves as an advanced parameter for mathematical description of analyzed speci¯c sequence of the deoxyribonucleic acid (DNA) or the whole genome. The conversion of the sequence into the image as the ¯rst step of the pre-processing can be used also for the alternative imaging and the description of sequence and it is possible to choose another method for the processing and analyzing a fractal image (for example Box Counting method). In the paper, the method for the processing of the DNA in the genome sequencing, the Power Spectrum method, will be introduced. The results of the Power Spectrum methods will be presented also.

Keywords

Genome Sequencing, DNA, power spectrum method

Authors

FIALA, P.; VALLA, M.; GESCHEIDTOVÁ, E.

RIV year

2015

Released

6. 7. 2015

Publisher

The Electromagnetics Academy

Location

Cambridge, MA, USA

ISBN

978-1-934142-30-1

Book

Draft Proceedings of Progress In Electromagnetics Research Symposium PIERS 2015 Prague

ISBN

1559-9450

Periodical

Progress In Electromagnetics

State

United States of America

Pages from

1337

Pages to

1340

Pages count

4

URL

BibTex

@inproceedings{BUT115300,
  author="Martin {Valla} and Eva {Gescheidtová} and Pavel {Fiala}",
  title="Power Spectrum Method for the Processing of the DNA in the Genome Sequencing",
  booktitle="Draft Proceedings of Progress In Electromagnetics Research Symposium PIERS 2015 Prague",
  year="2015",
  journal="Progress In Electromagnetics",
  pages="1337--1340",
  publisher="The Electromagnetics Academy",
  address="Cambridge, MA, USA",
  isbn="978-1-934142-30-1",
  issn="1559-9450",
  url="http://www.piers.org"
}