Banca de DEFESA: ALLYSON IRINEU ARAÚJO LIMA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : ALLYSON IRINEU ARAÚJO LIMA
DATE: 22/03/2022
TIME: 14:00
LOCAL: Plataforma Google Meet
TITLE:

Investigação de propriedades de transporte eletrônico e caracterização multifractal de bandas de energias de sequências GA no DNA humano

KEY WORDS:

Electronic Properties, Poly(GA) Sequences, Fractal

PAGES: 80
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

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 2 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 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, by the study of law of potency. 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 (spectrum with inverted parabola shape).

BANKING MEMBERS:
Externo à Instituição - ANTONIO DE MACEDO FILHO - UESPI
Interno - 1345774 - CLAUDIONOR GOMES BEZERRA
Externo à Instituição - DAVID LIMA AZEVEDO - UnB
Interno - 1519258 - DORY HELIO AIRES DE LIMA ANSELMO
Presidente - 1354851 - MANOEL SILVA DE VASCONCELOS
Interno - 1352009 - UMBERTO LAINO FULCO