930 resultados para B-Riesz Potential
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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The Oral Epithelial Dysplasia (OED) is the lesion that precedes or co-exists with the Oral Squamous Cell Carcinoma (OSCC), presenting molecular and/or histological similar alterations. The divergences about the malignization potential of OEDs and the role of inflammation in this process make hard the early diagnosis and evaluation of OSCCs aggressiveness. Thus, it became the goal of this study to evaluate the role of inflammation in oral carcinogenesis and tumoral aggressiveness. For this purpose a morphological study was performed in 20 OED cases and 40 OSCC cases to detect the malignization potential of OEDs and the histologic malignancy grading (HMG) of OSCCs, analyzing superficial masses for dismorphism evaluation and the invasive front for evaluation of tumoral growing; and immunohistochemical, using anti-CD8, anti-FOXP3, anti-TGFβ, anti-TNFα and anti-NF-кB antibodies, comparing their with the types lesion, histological degree and intensity of the inflammatory infiltrate. The results were statistically significant for the parameters: cell maturity (p=0,0001), masses presence (p=0,038) and dismorphism (p=0,037), when associated to HMG. To compare the expression of the markers with the types lesion, a significantly higher expression of CD8 (p=0,001) and NF-кB (p=0,002) in the OED, and also a smaller expression of the epithelial TGFβ in the severe OEDs (p=0,011), without significant expression between OSCC degrees. By relating the expression of the studied markers with the inflammatory infiltrate intensity, a positive relation was observed with: inflammatory TNFα(p=0,003), epithelial TNFα and NF-кB (p=0,051 and p=0,004), in OEDs; and with CD8 (p=0,021) and TNFα (p=0,015) in conjunctive OSCCs; and a negative relation with epithelial TNFα (p=0,034) in OSCCs. No significant relation was found between FOXP3 with any of the studied variables. These findings lead to the conclusion that, the study of the invasive front is as important as the study of superficial masses for the evaluation of tumoral aggressiveness; the intensity of the inflammatory infiltrate has no use as a parameter for prognostic evaluation of OSCC in routine exams, but, the molecular events detected in this study may be necessary to give basis for determining the malignant potential in OEDs and aggressiveness in OSCCs
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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The problem of a fermion subject to a general scalar potential in a two-dimensional world is mapped into a Sturm-Liouville problem for nonzero eigenenergies. The searching for possible bounded solutions is done in the circumstance of power-law potentials. The normalizable zero-eigenmode solutions are also searched. For the specific case of an inversely linear potential, which gives rise to an effective Kratzer potential, exact bounded solutions are found in closed form. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. (C) 2004 Elsevier B.V. All rights reserved.
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The problem of confinement of neutral fermions in two-dimensional space-time is approached with a pseudoscalar double-step potential in the Dirac equation. Bound-state solutions are obtained when the coupling is of sufficient intensity. The confinement is made plausible by arguments based on effective mass and anomalous magnetic interaction. (C) 2003 Elsevier B.V. B.V. All rights reserved.
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The problem of scattering of neutral fermions in two-dimensional spacetime is approached with a pseudoscalar potential step in the Dirac equation. Some unexpected aspects of the solutions beyond the absence of Klein's paradox are presented. An apparent paradox concerning the uncertainty principle is solved by introducing the concept of effective Compton wavelength. Added plausibility for the existence of bound-state solutions in a pseudoscalar double-step potential found in a recent Letter is given. (C) 2003 Elsevier B.V. B.V. All rights reserved.
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The Dirac equation is solved for a pseudoscalar Coulomb potential in a two-dimensional world. An infinite sequence of bounded solutions are obtained. These results are in sharp contrast with those ones obtained in 3 + 1 dimensions where no bound-state solutions are found. Next the general two-dimensional problem for pseudoscalar power-law potentials is addressed consenting us to conclude that a nonsingular potential leads to bounded solutions. The behaviour of the upper and lower components of the Dirac spinor for a confining linear potential nonconserving- as well as conserving-parity, even if the potential is unbounded from below, is discussed in some detail. (C) 2003 Elsevier B.V. All rights reserved.
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The intrinsically relativistic problem of a fermion subject to a pseudoscalar screened Coulomb plus a uniform background potential in two-dimensional space-time is mapped into a Sturm-Liouville. This mapping gives rise to an effective Morse-like potential and exact bounded solutions are found. It is shown that the uniform background potential determinates the number of bound-state solutions. The behaviour of the eigenenergies as well as of the upper and lower components of the Dirac spinor corresponding to bounded solutions is discussed in detail and some unusual results are revealed. An apparent paradox concerning the uncertainty principle is solved by recurring to the concepts of effective mass and effective Compton wavelength. (c) 2005 Elsevier B.V. All rights reserved.
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The problem of a fermion subject to a general scalar potential in a two-dimensional world for nonzero eigenenergies is mapped into a Sturm-Liouville problem for the upper component of the Dirac spinor. In the specific circumstance of an exponential potential, we have an effective Morse potential which reveals itself as an essentially relativistic problem. Exact bound solutions are found in closed form for this problem. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail, particularly the existence of zero modes. (c) 2005 Elsevier B.v. All rights reserved.
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The problem of neutral fermions subject to a pseudoscalar potential is investigated. Apart from the solutions for E = +/- mc(2), the problem is mapped into the Sturm-Liouville equation. The case of a singular trigonometric tangent potential (similar to tan gamma x) is exactly solved and the complete set of solutions is discussed in some detail. It is revealed that this intrinsically relativistic and true confining potential is able to localize fermions into a region of space arbitrarily small without the menace of particle-antiparticle production.
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The Duffin-Kemmer-Petiau (DKP) equation for massive spinless bosons in the presence of a nonminimal vector smooth step potential is revised. The problem is mapped into a Sturm-Lionville equation. The reflection and transmission coefficients are obtained and discussed in detail. Furthermore; we show that Klein's paradox does not show its face in this sort of interaction.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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It is shown that the paper Solutions of the Duffin-Kemmer-Petiau equation for a pseudoscalar potential step in (1+1) dimensions by Abdelmalek Boumali has a number of misconceptions
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)