Investigação de propriedades de transporte eletrônico e caracterização multifractal de bandas de energias de sequências GA no DNA humano
In this work, we analyze the location and fractal properties of the energy spectrum in a genomic system, formed by seven types of pure GA sequences (G-Guanine and A-Adenine) found on human chromosome 7. We use two methods to find the Hamiltonian solutions in the tight-binding approximation: trans...
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| Formato: | doctoralThesis |
| Idioma: | pt_BR |
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Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/48556 |
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| Resumo: | In this work, we analyze the location and fractal properties of the energy spectrum in
a genomic system, formed by seven types of pure GA sequences (G-Guanine and A-Adenine)
found on human chromosome 7. We use two methods to find the Hamiltonian solutions in
the tight-binding approximation: transfer matrix and negative eigenvalue method developed
by Dean. Through the transfer matrix method we obtained: Energy diagram, Electronic
Transmittance Spectrum and Lyapunov Coefficient. By means of the negative eigenvalues
method, we determined: Energy Diagram and Electronic Density of States. The investigation
of the multifractal behavior of energy bands obtained by the transfer matrix method, took
place through the singularity spectrum f(α), which was calculated using an algorithm based
on the theorems of Shannon, Eggelston and Billingsley, in addition, we determined the power
law associated with the distribution of energy bands for each sequence studied. In our
results, the Energy Diagram revealed a fractal behavior similar to the Cantor random set.
Comparing all the sequences studied here, the results of the multifractal analysis of energy
band distributions showed typical behavior of multifractal systems. |
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