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The self-similarity properties and multifractal analysis of DNA sequences

G. Durán-Meza

G. Durán-Meza

Departamento de Fśica, Universidad Autónoma Metropolitana Iztapalapa, Avenida San Rafael Atlixco 186Mexico City, Mexico
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Durán-Meza, G.
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J. López-García

J. López-García

División de Matemáticas e Ingenier ía, UNAM-FES Acatlán, Estado de MexicoNaucalpan, Mexico
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López-García, J.
 et 
J.L. del Río-Correa

J.L. del Río-Correa

Departamento de Fśica, Universidad Autónoma Metropolitana Iztapalapa, Avenida San Rafael Atlixco 186Mexico City, Mexico
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del Río-Correa, J.L.
  
29 juin 2019
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Catégorie d'article: Papers dedicated to the memory of Valetnin Afraymovich (1945-2018)
Publié en ligne: 29 juin 2019
Pages: 267 - 278
Reçu: 15 déc. 2018
Accepté: 07 avr. 2019
DOI: https://doi.org/10.2478/AMNS.2019.1.00023
Mots clés
© 2019 G. Durán-Meza et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

The CGR of two bacterias (Pirellula staleyi and Escherichia coli), two archaea (Nanoarchaeota archaeon and Halobacterium salinarum), the Homo sapiens chromosome 21 and a fungus Encephalitozoon intestinalis.
The CGR of two bacterias (Pirellula staleyi and Escherichia coli), two archaea (Nanoarchaeota archaeon and Halobacterium salinarum), the Homo sapiens chromosome 21 and a fungus Encephalitozoon intestinalis.

Fig. 2

Bernoulli map.
Bernoulli map.

Fig. 3

(a): The CGR of GAATC. (b): Application of the Hutchinson’s operator to the square.
(a): The CGR of GAATC. (b): Application of the Hutchinson’s operator to the square.

Fig. 4

Subregion’s description of GAATC, in (a) application of functions, in (b) localization.
Subregion’s description of GAATC, in (a) application of functions, in (b) localization.

Fig. 5

21 Human chromosome histograms for R = 1 to R = 6.
21 Human chromosome histograms for R = 1 to R = 6.

Fig. 6

Multifractal spectra of two bacterias: Pirellula staleyi and Escherichia coli, two archaea: Nanoarchaeota archaeon and Halobacterium salinarum, the Homo sapiens chromosome 21 and a fungi Encephalitozoon intestinalis
Multifractal spectra of two bacterias: Pirellula staleyi and Escherichia coli, two archaea: Nanoarchaeota archaeon and Halobacterium salinarum, the Homo sapiens chromosome 21 and a fungi Encephalitozoon intestinalis

Relevant parameters of multifractals of Fig_ 6 : the value of α where the maximum value occurs α0, the wide of spectrum W and the spectrum skew shape r_

Organism α0 W r
Pirellula staleyi 2.0673621898 1.4825717654943124651 2.06044807855
Escherichia coli 2.04444319969 1.394197126734667779 2.34682776089
Halobacterium salinarum 2.13387945312 1.3762064622503003001 0.944824001754
Nanoarchaeota archaeon 2.08756863398 1.346437367927127315 1.22732173982
Homo sapiens chr 21 2.11728218486 1.705128432757234025 1.40041368164
Encephalitozoon intestinalis 2.06212028856 1.222195891979336313 2.53446680707
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Sciences de la vie, Sciences de la vie, autres, Mathématiques, Mathématiques appliquées, Mathématiques générales, Physique, Physique, autres
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