Fractal Analysis of DNA Sequences Using Frequency Chaos Game Representation and Small-Angle Scattering

被引:14
作者
Anitas, Eugen Mircea [1 ,2 ]
机构
[1] Joint Inst Nucl Res, Dubna 141980, Russia
[2] Horia Hulubei Natl Inst Phys & Nucl Engn, Bucharest 077125, Romania
关键词
DNA sequences; time series; chaos game representation; multifractals; small-angle scattering; LONG-RANGE CORRELATIONS; CROSS-CORRELATION ANALYSIS; GENOME;
D O I
10.3390/ijms23031847
中图分类号
Q5 [生物化学]; Q7 [分子生物学];
学科分类号
071010 ; 081704 ;
摘要
The fractal characteristics of DNA sequences are studied using the frequency chaos game representation (FCGR) and small-angle scattering (SAS) technique. The FCGR allows representation of the frequencies of occurrence of k-mers (oligonucleotides of length k) in the form of images. The numerically encoded data are then used in a SAS analysis to enhance hidden features in DNA sequences. It is shown that the simulated SAS intensity allows us to obtain the fractal dimensions and scaling factors at various scales. These structural parameters can be used to distinguish unambiguously between the scaling properties of complex hierarchical DNA sequences. The validity of this approach is illustrated on several sequences from: Escherichia coli, Mouse mitochondrion, Homo sapiens mitochondrion and Human cosmid.
引用
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页数:15
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共 27 条
[1]   Analysis of genomic sequences by Chaos Game Representation [J].
Almeida, JS ;
Carriço, JA ;
Maretzek, A ;
Noble, PA ;
Fletcher, M .
BIOINFORMATICS, 2001, 17 (05) :429-437
[2]   Small-Angle Scattering and Multifractal Analysis of DNA Sequences [J].
Anitas, Eugen Mircea .
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2020, 21 (13) :1-19
[3]   Wavelet based fractal analysis of DNA sequences [J].
Arneodo, A ;
dAubentonCarafa, Y ;
Bacry, E ;
Graves, PV ;
Muzy, JF ;
Thermes, C .
PHYSICA D-NONLINEAR PHENOMENA, 1996, 96 (1-4) :291-320
[4]   CHARACTERIZING LONG-RANGE CORRELATIONS IN DNA-SEQUENCES FROM WAVELET ANALYSIS [J].
ARNEODO, A ;
BACRY, E ;
GRAVES, PV ;
MUZY, JF .
PHYSICAL REVIEW LETTERS, 1995, 74 (16) :3293-3296
[5]   Long-range correlations in genomic DNA: A signature of the nucleosomal structure [J].
Audit, B ;
Thermes, C ;
Vaillant, C ;
d'Aubenton-Carafa, Y ;
Muzy, JF ;
Ameodo, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (11) :2471-2474
[6]   Analysis of DNA sequences using methods of statistical physics [J].
Buldyrev, SV ;
Dokholyan, NV ;
Goldberger, AL ;
Havlin, S ;
Peng, CK ;
Stanley, HE ;
Viswanathan, GM .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1998, 249 (1-4) :430-438
[7]   Scattering from surface fractals in terms of composing mass fractals [J].
Cherny, A. Yu. ;
Anitas, E. M. ;
Osipov, V. A. ;
Kuklin, A. I. .
JOURNAL OF APPLIED CRYSTALLOGRAPHY, 2017, 50 :919-931
[8]   Deterministic fractals: Extracting additional information from small-angle scattering data [J].
Cherny, A. Yu. ;
Anitas, E. M. ;
Osipov, V. A. ;
Kuklin, A. I. .
PHYSICAL REVIEW E, 2011, 84 (03)
[9]   CHAOS GAME REPRESENTATION OF GENE STRUCTURE [J].
JEFFREY, HJ .
NUCLEIC ACIDS RESEARCH, 1990, 18 (08) :2163-2170
[10]   Multifractal detrended fluctuation analysis of nonstationary time series [J].
Kantelhardt, JW ;
Zschiegner, SA ;
Koscielny-Bunde, E ;
Havlin, S ;
Bunde, A ;
Stanley, HE .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 316 (1-4) :87-114