Mixed Multifractal Spectra of Homogeneous Moran Measures

HATTAB, JIHED; SELMI, BILEL; VERMA, SAURABH

doi:10.1142/s0218348x24400036

Cited by 3 publications

(1 citation statement)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This work popularized the term "multifractal analysis" among mathematicians and physicists. More specifically, from a mathematical standpoint, multifractal analysis refers to a technique used to precisely characterize the heterogeneity in the distribution of a set of measurements in a metric space at small scales [15][16][17][18]. This analysis aims to express the dimension of the set of measurements in terms of the Legendre transformation of a free energy function, drawing an analogy with thermodynamic theory.…”

Section: Introductionmentioning

confidence: 99%

Multifractal Properties of Human Chromosome Sequences

Correia,

Silva,

Anselmo

et al. 2024

Fractal Fract

View full text Add to dashboard Cite

The intricacy and fractal properties of human DNA sequences are examined in this work. The core of this study is to discern whether complete DNA sequences present distinct complexity and fractal attributes compared with sequences containing exclusively exon regions. In this regard, the entire base pair sequences of DNA are extracted from the NCBI (National Center for Biotechnology Information) database. In order to create a time series representation for the base pair sequence {G,C,T,A}, we use the Chaos Game Representation (CGR) approach and a mapping rule f, which enables us to apply the metric known as the Complexity–Entropy Plane (CEP) and multifractal detrended fluctuation analysis (MF-DFA). To carry out our investigation, we divided human DNA into two groups: the first is composed of the 24 chromosomes, which comprises all the base pairs that form the DNA sequence, and another group that also includes the 24 chromosomes, but the DNA sequences rely only on the exons’ presence. The results show that both sets provide fractal patterns in their structure, as obtained by the CGR approach. Complete DNA sequences show a sharper visual fractal pattern than sequences composed only of exons. Moreover, the sequences occupy distinct areas of the complexity–entropy plane, and the complete DNA sequences lead to greater statistical complexity and lower entropy than the exon sequences. Also, we observed that different fractal parameters between chromosomes indicate diversity in genomic sequences. All these results occur in different scales for all chromosomes.

show abstract

Section: Introductionmentioning

confidence: 99%