Fractal Properties in Electronic Spectra of GA Sequences of Human DNA

In this work, we report the eigenenergies spectra for GA sequences present on human chromosome 7, obtained from an entirely atomistic Extended Huckel single-strand DNA model. For GA sequences ranging from 10 to 330 nucleotides (10,739 atoms) in steps of 10 nucleotides cumulatively, the density of st...

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Bibliographic Details
Published in:Brazilian journal of physics 2024-08, Vol.54 (4), Article 124
Main Authors: Cardoso, Marcos P. A., Vasconcelos, M. S., Martins, Adriano S., Azevedo, David L.
Format: Article
Language:English
Subjects:
Deoxyribonucleic acid
Digital signatures
DNA
Electronic spectra
Energy distribution
Energy spectra
Fractal analysis
Gene sequencing
Nucleotides
Physics
Physics and Astronomy
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Summary:In this work, we report the eigenenergies spectra for GA sequences present on human chromosome 7, obtained from an entirely atomistic Extended Huckel single-strand DNA model. For GA sequences ranging from 10 to 330 nucleotides (10,739 atoms) in steps of 10 nucleotides cumulatively, the density of states presented a beautiful and clear trend in the form of larger conductance in the region of [ - 20 , - 10 ] eV, like a digital signature, while the sequence length is increased. From a fractal analysis point of view, both level spacing and cumulative level spacing distribution of the energy spectra presented one kind of random Cantor set fractal behavior, including a devil’s staircase for their energy spectra. Besides this, a more accurate f ( α ) analysis has confirmed that these spectra are multifractal.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-024-01504-z