Spectral features in isolated neutron stars induced by inhomogeneous surface temperatures

The thermal X-ray spectra of several isolated neutron stars display deviations from a pure blackbody. The accurate physical interpretation of these spectral features bears profound implications for our understanding of the atmospheric composition, magnetic field strength and topology, and equation of state of dense matter. With specific details varying from source to source, common explanations for the features have ranged from atomic transitions in the magnetized atmospheres or condensed surface, to cyclotron lines generated in a hot ionized layer near the surface. Here, we quantitatively evaluate the X-ray spectral distortions induced by inhomogeneous temperature distributions of the neutron star surface. To this aim, we explore several surface temperature distributions, we simulate their corresponding general relativistic X-ray spectra (assuming an isotropic, blackbody emission), and fit the latter with a single blackbody model. We find that, in some cases, the presence of a spurious ‘spectral line’ is required at a high significance level in order to obtain statistically acceptable fits, with central energy and equivalent width similar to the values typically observed. We also perform a fit to a specific object, RX J0806.4−4123, finding several surface temperature distributions able to model the observed spectrum. The explored effect is unlikely to work in all sources with detected lines, but in some cases it can indeed be responsible for the appearance of such lines. Our results enforce the idea that surface temperature anisotropy can be an important factor that should be considered and explored also in combination with more sophisticated emission models like atmospheres.

Population synthesis of isolated neutron stars with magneto-rotational evolution

We revisit the population synthesis of isolated radio-pulsars incorporating recent advances on the evolution of the magnetic field and the angle between the magnetic and rotational axes from new simulations of the magneto-thermal evolution and magnetosphere models, respectively. An interesting novelty in our approach is that we do not assume the existence of a death line. We discuss regions in parameter space that are more consistent with the observational data. In particular, we find that any broad distribution of birth spin periods with P0 ≲ 0.5 s can fit the data, and that if the alignment angle is allowed to vary consistently with the torque model, realistic magnetospheric models are favoured compared to models with classical magneto-dipolar radiation losses. Assuming that the initial magnetic field is given by a lognormal distribution, our optimal model has mean strength 〈log B0[G]〉 ≈ 13.0–13.2 with width σ(log B0) = 0.6–0.7. However, there are strong correlations between parameters. This degeneracy in the parameter space can be broken by an independent estimate of the pulsar birth rate or by future studies correlating this information with the population in other observational bands (X-rays and γ-rays).

The many lives of magnetized neutron stars

The magnetic field strength at birth is arguably one of the most important properties to determine the evolutionary path of a neutron star. Objects with very high fields, collectively known as magnetars, are characterized by high X-ray quiescent luminosities, occurrence of outbursts, and, for some of them, sporadic giant flares. While the magnetic field strength is believed to drive their collective behaviour, however, the diversity of their properties, and, especially, the observation of magnetar-like bursts from “low-field” pulsars, has been a theoretical puzzle. In this review, we discuss results of long-term simulations following the coupled evolution of the X-ray luminosity and the timing properties for a large, homogeneous sample of X-ray emitting isolated neutron stars, accounting for a range of initial magnetic field strengths, envelope compositions, and neutron star masses. In addition, by following the evolution of magnetic stresses within the neutron star crust, we can also relate the observed magnetar phenomenology to the physical properties of neutron stars, and in particular to their age and magnetic field strength and topology. The dichotomy of “high-B” field pulsars versus magnetars is naturally explained, and occasional outbursts from old, low B-field neutron stars are predicted. We conclude by speculating on the fate of old magnetars, and by presenting observational diagnostics of the neutron star crustal field topology.

On the formation and evolution of the first Be star in a black hole binary MWC 656

We find that the formation of MWC 656 (the first Be binary containing a black hole) involves a common envelope phase and a supernova explosion. This result supports the idea that a rapidly rotating Be star can emerge out of a common envelope phase, which is very intriguing because this evolutionary stage is thought to be too fast to lead to significant accretion and spin up of the B star. We predict ∼10–100 of B-BH binaries to currently reside in the Galactic disc, among which around 1/3 contain a Be star, but there is only a small chance to observe a system with parameters resembling MWC 656. If MWC 656 is representative of intrinsic Galactic Be-BH binary population, it may indicate that standard evolutionary theory needs to be revised. This would pose another evolutionary problem in understanding black hole (BH) binaries, with BH X-ray novae formation issue being the prime example. Future evolution of MWC 656 with an ∼5 M⊙ BH and with an ∼13 M⊙ main-sequence companion on an ∼60 d orbit may lead to the formation of a coalescing BH–NS (neutron star) system. The estimated Advanced LIGO/Virgo detection rate of such systems is up to ∼0.2 yr−1. This empirical estimate is a lower limit as it is obtained with only one particular evolutionary scenario, the MWC 656 binary. This is only a third such estimate available (after Cyg X-1 and Cyg X-3), and it lends additional support to the existence of so far undetected BH–NS binaries.

(Bio)funcionalização de superfícies nanoestruturadas para eletrocatálise e desenvolvimento de biossensores eletroquímicos e óticos

Tese de doutoramento, Química (Química Física), Universidade de Lisboa, Faculdade de Ciências, 2016

La tagatose-1,6-bisphosphate aldolase et la fructose-1,6-bisphosphate aldolase de classe I : mécanisme et stéréospécificité

La tagatose-1,6-biphosphate aldolase de Streptococcus pyogenes est une aldolase qui fait preuve d'un remarquable manque de spécificité vis à vis de ses substrats. En effet, elle catalyse le clivage réversible du tagatose-1,6-bisphosphate (TBP), mais également du fructose-1,6-bisphosphate (FBP), du sorbose-1,6-bisphosphate et du psicose-1,6-bisphosphate, quatre stéréoisomères, en dihydroxyacétone phosphate (DHAP) et en glycéraldéhyde-3-phosphate (G3P). Aldolase de classe I, qui donc catalyse sa réaction en formant un intermédiaire covalent obligatoire, ou base de Schiff, avec son susbtrat, la TBP aldolase de S. pyogenes partage 14 % d’identité avec l’enzyme modèle de cette famille, la FBP aldolase de muscle de mammifère. Bien que le mécanime catalytique de la FBP aldolase des mammifères ait été examiné en détails et qu’il soit approprié d’en tirer des renseignements quant à celui de la TBP aldolase, le manque singulier de stéréospécificité de cette dernière tant dans le sens du clivage que celui de la condensation n’est toujours pas éclairci. Afin de mettre à jour les caractéristiques du mécanisme enzymatique, une étude structurale de la TBP aldolase de S. pyogenes, un pathogène humain extrêmement versatile, a été entreprise. Elle a permis la résolution des structures de l’enzyme native et mutée, en complexe avec des subtrats et des inhibiteurs compétitifs, à des résolutions comprises entre 1.8 Å et 2.5 Å. Le trempage des cristaux de TBP aldolase native et mutante dans une solution saturante de FBP ou TBP a en outre permis de piéger un authentique intermédiaire covalent lié à la Lys205, la lysine catalytique. La determination des profils pH de la TBP aldolase native et mutée, entreprise afin d'évaluer l’influence du pH sur la réaction de clivage du FBP et TBP et ìdentifier le(s) résidu(s) impliqué(s), en conjonction avec les données structurales apportées par la cristallographie, ont permis d’identifier sans équivoque Glu163 comme résidu responsable du clivage. En effet, le mode de liaison sensiblement différent des ligands utilisés selon la stéréochimie en leur C3 et C4 permet à Glu163, équivalent à Glu187 dans la FBP aldolase de classe I, d’abstraire le proton sur l’hydroxyle du C4 et ainsi d’amorcer le clivage du lien C3-C4. L’étude du mécanimse inverse, celui de la condensation, grâce par exemple à la structure de l’enzyme native en complexe avec ses substrats à trois carbones le DHAP et le G3P, a en outre permis d’identifier un isomérisme du substrat G3P comme possible cause de la synthèse des isomères en C4 par cette enzyme. Ce résultat, ainsi que la decouverte d’un possible isomérisme cis-trans autour du lien C2-C3 de la base de Schiff formée avec le DHAP, identifié précedemment, permet de cerner presque complètement les particularités du mécanisme de cette enzyme et d’expliquer comment elle est capable de synthétiser les quatres stéréoisomères 3(S/R), 4(S/R). De plus, la résolution de ces structures a permis de mettre en évidence trois régions très mobiles de la protéine, ce qui pourrait être relié au rôle postulé de son isozyme chez S. pyogenes dans la régulation de l’expression génétique et de la virulence de la bactérie. Enfin, la résolution de la structure du mutant Lys229→Met de la FBP aldolase de muscle en complexe avec la forme cyclique du FBP, de même que des études cristallographiques sur le mutant équivalent Lys205→Met de la TBP aldolase de S. pyogenes et des expériences de calorimétrie ont permis d’identifier deux résidus particuliers, Ala31 et Asp33 chez la FBP aldolase, comme possible cause de la discrimination de cette enzyme contre les substrats 3(R) et 4(S), et ce par encombrement stérique des substrats cycliques. La cristallographie par rayons X et la cinétique enzymatique ont ainsi permis d'avancer dans l'élucidation du mécanisme et des propriétés structurales de cette enzyme aux caractéristiques particulières.

Une nouvelle méthode pour estimer la torsion géométrique en scoliose idiopathique de l’adolescent

La scoliose idiopathique de l’adolescent (SIA) est une déformation tridimensionnelle (3D) de la colonne vertébrale. Pour la plupart des patients atteints de SIA, aucun traitement chirurgical n’est nécessaire. Lorsque la déformation devient sévère, un traitement chirurgical visant à réduire la déformation est recommandé. Pour déterminer la sévérité de la SIA, l’imagerie la plus utilisée est une radiographie postéroantérieure (PA) ou antéro-postérieure (AP) du rachis. Plusieurs indices sont disponibles à partir de cette modalité d’imagerie afin de quantifier la déformation de la SIA, dont l’angle de Cobb. La conduite thérapeutique est généralement basée sur cet indice. Cependant, les indices disponibles à cette modalité d’imagerie sont de nature bidimensionnelle (2D). Celles-ci ne décrivent donc pas entièrement la déformation dans la SIA dû à sa nature tridimensionnelle (3D). Conséquemment, les classifications basées sur les indices 2D souffrent des mêmes limitations. Dans le but décrire la SIA en 3D, la torsion géométrique a été étudiée et proposée par Poncet et al. Celle-ci mesure la tendance d’une courbe tridimensionnelle à changer de direction. Cependant, la méthode proposée est susceptible aux erreurs de reconstructions 3D et elle est calculée localement au niveau vertébral. L’objectif de cette étude est d’évaluer une nouvelle méthode d’estimation de la torsion géométrique par l’approximation de longueurs d’arcs locaux et par paramétrisation de courbes dans la SIA. Une première étude visera à étudier la sensibilité de la nouvelle méthode présentée face aux erreurs de reconstructions 3D du rachis. Par la suite, deux études cliniques vont présenter la iv torsion géométrique comme indice global et viseront à démontrer l’existence de sous-groupes non-identifiés dans les classifications actuelles et que ceux-ci ont une pertinence clinique. La première étude a évalué la robustesse de la nouvelle méthode d’estimation de la torsion géométrique chez un groupe de patient atteint de la SIA. Elle a démontré que la nouvelle technique est robuste face aux erreurs de reconstructions 3D du rachis. La deuxième étude a évalué la torsion géométrique utilisant cette nouvelle méthode dans une cohorte de patient avec des déformations de type Lenke 1. Elle a démontré qu’il existe deux sous-groupes, une avec des valeurs de torsion élevées et l’autre avec des valeurs basses. Ces deux sous-groupes possèdent des différences statistiquement significatives, notamment au niveau du rachis lombaire avec le groupe de torsion élevée ayant des valeurs d’orientation des plans de déformation maximales (PMC) en thoraco-lombaire (TLL) plus élevées. La dernière étude a évalué les résultats chirurgicaux de patients ayant une déformation Lenke 1 sous-classifiées selon les valeurs de torsion préalablement. Cette étude a pu démontrer des différences au niveau du PMC au niveau thoraco-lombaire avec des valeurs plus élevées en postopératoire chez les patients ayant une haute torsion. Ces études présentent une nouvelle méthode d’estimation de la torsion géométrique et présentent cet indice quantitativement. Elles ont démontré l’existence de sous-groupes 3D basés sur cet indice ayant une pertinence clinique dans la SIA, qui n’étaient pas identifiés auparavant. Ce projet contribue dans la tendance actuelle vers le développement d’indices 3D et de classifications 3D pour la scoliose idiopathique de l’adolescent.

Chemical composition of zeolites in sandstones at DSDP Sites 445 and 446

Andesitic volcaniclastic sandstones of Middle Eocene age recovered from DSDP Sites 445 and 446, a back-arc basin, contain clinoptilolite, heulandite and analcite as a pore-filling cement. Clinoptilolite and heulandite at Sites 445 and 446 contain different chemical composition from other deep-sea clinoptilolites and heulandites. The dominant cation of both clinoptilolite and heulandite is Na+ ion activity in pore water was greater at the time of their formation. Volcanic glass has acted as a precursor for both clinoptilolite and heulandite at Sites 445 and 446. Biogenic silica is also suggested as a precursor. High Na+ ion activity in pore water also helped to transform clinoptilolite and heulandite to analcite downhole. The necessary Na+ ions for this clinoptilolite, heulandite and analcite at Sites 445 and 446 might have been provided by hydrothermal circulation of seawater through more permeable sandstones deposited during early stages of back-arc basin rifting.

Structure and chemistry of TECHNO encrustations

Using as a starting point the results giving 'traditional' growth rates as determined by the decrease of radioelements (part I) and the hypothesis of rapid formation, the different mineralogical, structure and chemical characteristics of the sample have been studied to try to understand the possible mode of formation of this encrustation. A rapid formation would account for (1) the very peculiar structure of the sample composed of oriented botryoids and the bundle-like structure of the outermost oxide layer; (2) the fact that this sample represents a substitution of a preexisting hyaloclastite; (3) the different chemical gradients, mainly iron, thorium and uranium; (4) the fact that this sample which cannot have been maintained at the sediment-water interface by bioturbation is not covered by a great thickness of sediments. On the other hand, an unsolved problem remains: Why different radionuclides used for dating give growth rates of the same order of magnitude and different 'exposition ages'.

Emergency Provider Use of Plain Radiographs in the Evaluation of Pediatric Constipation

Thesis (Master's)--University of Washington, 2016-06

A national case-control study of Ewing's sarcoma family of tumours in Australia

Limited population-based epidemiologic information is available on Ewing's sarcoma family of tumours (ESFT), a rare group of neoplasms. Several associations have been noted on a few studies but results were not consistent, except for exposure to farming among cases and their parents. Here we present the non-farm findings of a nationwide case-control study of ESFT in children and young adults in Australia. The analysis included 106 persons with confirmed ESFT and 344 population-based controls selected randomly via telephone. Information was collected by interview (84% face to face). We found a strong and significant association of ESFT with hernias, in particular hernia repaired in hospital (OR = 5.6, 95% Cl 1.3-6.4). Among other factors, there was a near doubling of risk for males, and male cases had their pubertal signs earlier (started shaving earlier) than male controls. There was also an increased risk of ESFT at higher levels of self-assessed exercise, but no other factor really stood out. For pregnancy-related factors, there was a tripling of risk for glandular fever, a doubling of risk for urinary tract infection and a near doubling of risk for X-rays during or just before pregnancy, but these estimates were not significant. In addition, there was a large number of inverse associations with medical conditions (specifically bone disorders), case exposure to medications, vaccinations and X-rays, with ultrasound during the pregnancy having the most certain effects. We conclude that, although the aetiology of ESFT remains obscure, overall there is strong evidence of an association with inguinal hernia; this can now be added to the farm-associated risk reported by others and us. The other associations reported here await replication and refinement in future studies. (C) 2003 Wiley-Liss, Inc.

Double-strand break repair gene polymorphisms and risk of breast or ovarian cancer

Deficiencies in DNA repair have been hypothesized to increase cancer risk and excess cancer incidence is a feature of inherited diseases caused by defects in DNA damage recognition and repair. We investigated, using a case-control design, whether the double-strand break repair gene polymorphisms RAD51 5' untranslated region -135 G > C, XRCC2 R188H G > A, and XRCC3 T241M C > T were associated with risk of breast or ovarian cancer in Australian women. Sample sets included 1,456 breast cancer cases and 793 age-matched controls ages under 60 years of age, 549 incident ovarian cancer cases, and 335 controls of similar age distribution. For the total sample and the subsample of Caucasian women, there were no significant differences in genotype distribution between breast cancer cases and controls or between ovarian cancer cases and combined control groups. The crude odds ratios (OR) and 95% confidence intervals (95% CI) associated with the RAD51 GC/CC genotype frequency was OR, 1.10; 95% CI, 0.80-1.41 for breast cancer and OR, 1.22; 95% CI, 0.92-1.62 for ovarian cancer. Similarly, there were no increased risks associated with the XRCC2 GA/AA genotype (OR, 0.98; 95% CI, 0.76-1.26 for breast cancer and OR, 0.93; 95% CI, 0.69-1.25 for ovarian cancer) or the XRCC3 CT/TT genotype (OR, 0.92; 95% Cl, 0.77-1.10 for breast cancer and OR, 0.87; 95% CI, 0.71-1.08 for ovarian cancer). Results were little changed after adjustment for age and other measured risk factors. Although there was little statistical power to detect modest increases in risk for the homozygote variant genotypes, particularly for the rare RAD51 and XRCC2 variants, the data suggest that none of these variants play a major role in the etiology of breast or ovarian cancer.

Vibrational dynamics and structure of natural feldspars

The present study gives a contribution to the knowledge on the Na-feldspar and plagioclases, extending the database of the Raman spectra of plagioclases with different chemical compositions and structural orders. This information may be used for the future planetary explorations by “rovers”, for the investigation of ceramics nanocrystal materials and for the mineralogical phase identification in sediments. Na-feldspar and plagioclase solid solution have been investigated by Raman spectroscopy in order to determine the relationships between the vibrational changes and the plagioclase crystal chemistry and structure. We focused on the Raman micro-spectroscopy technique, being a non-destructive method, suited for contactless analysis with high spatial resolution. Chemical and structural analyses have been performed on natural samples to test the usefulness of Raman spectroscopy as a tool in the study of the pressure-induced structural deformations, the disordering processes due to change in the Al-Si distribution in the tetrahedral sites and, finally, in the determination of the anorthitic content (Anx) in plagioclase minerals. All the predicted 39 Ag Raman active modes have been identified and assigned to specific patterns of atomic vibrational motion. A detailed comparison between experimental and computed Raman spectra has been performed and previous assignments have been revised, solving some discrepancies reported in recent literature. The ab initio calculation at the hybrid HF/DFT level with the WC1LYP Hamiltonian has proven to give excellent agreement between calculated and experimentally measured Raman wavenumbers and intensities in triclinic minerals. A short digression on the 36 infrared active modes of Na-feldspar has been done too. The identification of all 39 computed Raman modes in the experimentally measured spectra of the fully ordered Na-feldspar, known as low albite, along with the detailed description of each vibrational mode, has been essential to extend the comparative analysis to the high pressure and high temperature structural forms of albite, which reflect the physical–chemical conditions of the hosting rocks. The understanding of feldspar structure response to pressure and temperature is crucial in order to constrain crustal behaviour. The compressional behaviour of the Na-feldspar has been investigated for the first time by Raman spectroscopy. The absence of phase transitions and the occurrence of two secondary compression mechanisms acting at different pressures have been confirmed. Moreover, Raman data suggest that the internal structural changes are confined to a small pressure interval, localized around 6 GPa, not spread out from 4 to 8 GPa as suggested by previous X-rays studies on elasticity. The dominant compression mechanisms act via tetrahedral tilting, while the T-O bond lengths remain nearly constant at moderate compressional regimes. At the spectroscopic level, this leads to the strong pressure dependencies of T-O-T bending modes, as found for the four modes at 478, 508, 578 and 815 cm-1. The Al-Si distribution in the tetrahedral sites affects also the Raman spectrum of Na-feldspar. In particular, peak broadening is more sensitive than peak position to changes in the degree of order. Raman spectroscopy is found to be a good probe for local ordering, in particular being sensitive to the first annealing steps, when the macroscopic order parameter is still high. Even though Raman data are scattered and there are outliers in the estimated values of the degree of order, the average peak linewidths of the Na-feldspar characteristic doublet band, labelled here as υa and υb, as a function of the order parameter Qod show interesting trends: both peak linewidths linearly increase until saturation. From Qod values lower than 0.6, peak broadening is no more affected by the Al-Si distribution. Moreover, the disordering process is found to be heterogeneous. SC-XRD and Raman data have suggested an inter-crystalline inhomogeneity of the samples, i.e., the presence of regions with different defect density on the micrometric scale. Finally, the influence of Ca-Na substitution in the plagioclase Raman spectra has been investigated. Raman spectra have been collected on a series of well characterized natural, low structural plagioclases. The variations of the Raman modes as a function of the chemical composition and the structural order have been determined. The number of the observed Raman bands at each composition gives information about the unit-cell symmetry: moving away from the C1 structures, the number of the Raman bands enhances, as the number of formula units in the unit cell increases. The modification from an “albite-like” Raman spectrum to a more “anorthite-like” spectrum occurs from sample An78 onwards, which coincides with the appearance of c reflections in the diffraction patterns of the samples. The evolution of the Raman bands υa and υb displays two changes in slope at ~An45 and ~An75: the first one occurs between e2 and e1 plagioclases, the latter separates e1 and I1 plagioclases with only b reflections in their diffraction patterns from I1 and P1 samples having b and c reflections too. The first variation represents exactly the e2→e1 phase transitions, whereas the second one corresponds in good approximation to the C1→I1 transition, which has been determined at ~An70 by previous works. The I1→P1 phase transition in the anorthite-rich side of the solid solution is not highlighted in the collected Raman spectra. Variations in peak broadening provide insights into the behaviour of the order parameter on a local scale, suggesting an increase in the structural disorder within the solid solution, as the structures have to incorporate more Al atoms to balance the change from monovalent to divalent cations. All the information acquired on these natural plagioclases has been used to produce a protocol able to give a preliminary estimation of the chemical composition of an unknown plagioclase from its Raman spectrum. Two calibration curves, one for albite-rich plagioclases and the other one for the anorthite-rich plagioclases, have been proposed by relating the peak linewidth of the most intense Raman band υa and the An content. It has been pointed out that the dependence of the composition from the linewidth can be obtained only for low structural plagioclases with a degree of order not far away from the references. The proposed tool has been tested on three mineralogical samples, two of meteoric origin and one of volcanic origin. Chemical compositions by Raman spectroscopy compare well, within an error of about 10%, with those obtained by elemental techniques. Further analyses on plagioclases with unknown composition will be necessary to validate the suggested method and introduce it as routine tool for the determination of the chemical composition from Raman data in planetary missions.

AVALIAÇÃO CEFALOMÉTRICA DO ESPAÇO AÉREO NASO E BUCOFARÍNGEO E SUA IMPORTÂNCIA SOBRE O PADRÃO DE CRESCIMENTO E FUNÇÃO RESPIRATÓRIA EM INDIVÍDUOS COM MÁ OCLUSÃO CLASSE II, DIVISÃO 1 DE ANGLE

O objetivo deste estudo foi avaliar o tamanho do espaço aéreo naso e bucofaríngeo em indivíduos com má oclusão Classe II, divisão 1 de Angle. A metodologia constou da mensuração do espaço aéreo naso e bucofaríngeo em 122 telerradiografias laterais de indivíduos na faixa etária dos 12 aos 21 anos, brasileiros leucodermas. Desses indivíduos, 62 apresentavam respiração nasal e 60 respiração bucal, não sendo submetidos a tratamento ortodôntico prévio. Os resultados demonstraram a ausência de dimorfimo sexual; os indivíduos respiradores nasais apresentaram maiores dimensões dos limites superior e inferior e da menor secção transversal do espaço aéreo quando comparado aos respiradores bucais. O tamanho médio da adenóide foi maior nos pacientes respiradores bucais. Quando comparamos as variáveis estudadas com os padrões faciais não foram observadas diferenças entre os mesmos, porém quando associamos padrão facial com o tipo de respiração foi encontrada maior proporção de indivíduos respiradores bucais nos padrões dolicofacial e mesofacial em relação ao padrão braquifacial.

AVALIAÇÃO DAS ALTERAÇÕES DENTOESQUELÉTICAS DE PACIENTES COM MÁ OCLUSÃO DE CLASSE II DE ANGLE, TRATADOS COM O APARELHO REGULADOR DE FUNÇÃO DE FRÄNKEL (RF-2).

Esta pesquisa objetivou estudar retrospectivamente por meio de radiografias em norma frontal e modelos de gesso as alterações dentoesqueléticas de pacientes com má oclusão de Classe II, 1ª divisão, divididos em dois grupos: Grupo Tratado, constituído de 28 pacientes, sendo 13 pacientes do sexo masculino e 15 do sexo feminino, tratados com aparelho regulador de função de Fränkel - 2 (RF-2), por um período ativo de 1,5 anos; Grupo Controle: constituído de 28 pacientes, sendo 12 do sexo masculino e 16 do sexo feminino, sem nenhum tipo de tratamento durante o acompanhamento longitudinal de 1,5 anos. A amostra deste estudo consistiu de 112 telerradiografias em norma frontal e 112 pares de modelos de gesso, 56 obtidos ao início (T1) e 56 ao final da observação (T2). Após a análise estatística das mensurações obtidas, concluiu- se que houve como resultado alterações estatisticamente significantes em todas as medidas analisadas e o aparelho RF-2 teve atuação direta nas variáveis: distância intermolares superio res e inferiores (radiografias e modelos),profundidade palatina, largura maxilar e altura facial ântero-inferior.