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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
1559-9450
Periodical
Progress In Electromagnetics
State
United States of America
Pages from
1337
Pages to
1340
Pages count
4
URL
http://www.piers.org
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" }