Optimism on quality of life in Portuguese chronic patients: moderator/mediator?

Objetivo: o otimismo tem sido demonstrado como uma variável importante no ajustamento da qualidade de vida de pessoas com doenças crônicas. O estudo tem como objetivo verificar se o otimismo exerce um efeito moderador ou mediador entre os traços de personalidade e a qualidade de vida, em portugueses com doenças crônicas. Métodos: os modelos de regressão linear múltipla foram usados para avaliar o efeito de moderação e mediação do otimismo na qualidade de vida. A amostra, constituída por 729 doentes, recrutados nos principais hospitais de Portugal responderam a questionários de autorresposta avaliando questões sócio-demográficas e clínicas, personalidade, otimismo disposicional, qualidade de vida e bem-estar subjetivo. Resultados: os resultados encontrados mostraram que o otimismo disposicional não exerce um papel moderador entre os traços de personalidade e a qualidade de vida. Controlando por idade, sexo, nível de escolaridade e percepção da severidade da doença, o efeito dos traços de personalidade na qualidade de vida e no bem-estar subjetivo foi mediado pelo otimismo (parcial e total), expecto para as associações, neuroticismo/abertura à experiência e à saúde física. Conclusão: o otimismo disposicional exerce apenas um papel mediador entre os traços de personalidade e qualidade de vida, em pessoas com doenças crônicas, sugerindo que 'a expectativa de que coisas boas vão acontecer' contribui para uma melhor qualidade de vida e melhor bem-estar subjetivo.

Controladores linguísticos Fuzzy

Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia Mecânica

Sorption of phenanthrene on agricultural soils

Polyaromatic hydrocarbon (PAH) sorption to soil is a key process deciding the transport and fate of PAH, and potential toxic impacts in the soil and groundwater ecosystems, for example in connection with atmospheric PAH deposition on soils. There are numerous studies on PAH sorption in relatively low organic porous media such as urban soils and groundwater sediments, but less attention has been given to cultivated soils. In this study, the phenanthrene partition coefficient, KD (liter per kilogram), was measured on 143 cultivated Danish soils (115 topsoils, 0–0.25-m soil depth and 28 subsoils, 0.25–1-m depth) by the single-point adsorption method. The organic carbon partition coefficient, KOC (liter per kilogram) for topsoils was found generally to fall between the KOC values estimated by the two most frequently used models for PAH partitioning, the Abdul et al. (Hazardous Waste & Hazardous Materials 4(3):211– 222, 1987) model and Karickhoff et al. (Water Research 13:241–248, 1979) model. A less-recognized model by Karickhoff (Chemosphere 10:833–846, 1981), yielding a KOC of 14,918 Lkg−1, closely corresponded to the average measured KOC value for the topsoils, and this model is therefore recommended for prediction of phenanthrene mobility in cultivated topsoils. For lower subsoils (0.25–1-m depth), the KOC values were closer to and mostly below the estimate by the Abdul et al. (Hazardous Waste & Hazardous Materials 4(3):211–222, 1987) model. This implies a different organic matter composition and higher PAH sorption strength in cultivated topsoils, likely due to management effects including more rapid carbon turnover. Finally, we applied the recent Dexter et al. (Geoderma 144:620–627, 2008) theorem, and calculated the complexed organic carbon and non-complexed organic carbon fractions (COC and NCOC, grams per gram). Multiple regression analyses showed that the NCOC-based phenanthrene partition coefficient (KNCOC) could be markedly higher than the COCbased partition coefficient (KCOC) for soils with a clay/OC ratio <10. This possibly higher PAH sorption affinity to the NCOC fraction needs further investigations to develop more realistic and accurate models for PAH mobility and effects in the environment, also with regard to colloid-facilitated PAH transport.

O impacto da formação contínua no desenvolvimento pessoal e profissional dos técnicos de Análises Clínicas e Saúde Pública

Mestrado em Intervenção Sócio-Organizaional na Saúde - Ramo de especialização: Intervenção Comunitária

Análise estática não linear de um edifício em betão armado

Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia Civil

Influence of the support offered to breastfeeding by maternity hospitals

ABSTRACT OBJECTIVE To evaluate whether the support offered by maternity hospitals is associated with higher prevalences of exclusive and predominant breastfeeding. METHODS This is a cross-sectional study including a representative sample of 916 infants less than six months who were born in maternity hospitals, in Ribeirao Preto, Sao Paulo, Southeastern Brazil, 2011. The maternity hospitals were evaluated in relation to their fulfillment of the Ten Steps to Successful Breastfeeding. Data were collected regarding breastfeeding patterns, the birth hospital and other characteristics. The individualized effect of the study factor on exclusive and predominant breastfeeding was analyzed using Poisson multiple regression with robust variance. RESULTS Predominant breastfeeding tended to be more prevalent when the number of fulfilled steps was higher (p of linear trend = 0.057). The step related to not offering artificial teats or pacifiers to breastfed infants and that related to encouraging the establishment of breastfeeding support groups were associated, respectively, to a higher prevalence of exclusive (PR = 1.26; 95%CI 1.04;1.54) and predominant breastfeeding (PR = 1.55; 95%CI 1.01;2.39), after an adjustment was performed for confounding variables. CONCLUSIONS We observed a positive association between support offered by maternity hospitals and prevalences of exclusive and predominant breastfeeding. These results can be useful to other locations with similar characteristics (cities with hospitals that fulfill the Ten Steps to Successful Breastfeeding) to provide incentive to breastfeeding, by means of promoting, protecting and supporting breastfeeding in maternity hospitals.

A hierarquia dos determinantes da estrutura de capital em empresas portuguesas

Dissertação de Mestrado apresentado ao Instituto de Contabilidade e Administração do Porto para a obtenção do grau de Mestre em Contabilidade e Finanças, sob orientação de Adalmiro Álvaro Malheiro de Castro Andrade Pereira

Prognostic modelling of breast cancer patients: a benchmark of predictive models with external validation

Dissertação apresentada para obtenção do Grau de Doutor em Engenharia Electrotécnica e de Computadores – Sistemas Digitais e Percepcionais pela Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia

Dual-phase inkjet printed electrochromic layers based on PTA and WOX/TiO2 nanoparticles for electrochromic applications

Thesis submitted in Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa for the degree of Master in Materials Engineering

Vertex component analysis: a geometric-based approach to unmix hyperspectral data

Hyperspectral remote sensing exploits the electromagnetic scattering patterns of the different materials at specific wavelengths [2, 3]. Hyperspectral sensors have been developed to sample the scattered portion of the electromagnetic spectrum extending from the visible region through the near-infrared and mid-infrared, in hundreds of narrow contiguous bands [4, 5]. The number and variety of potential civilian and military applications of hyperspectral remote sensing is enormous [6, 7]. Very often, the resolution cell corresponding to a single pixel in an image contains several substances (endmembers) [4]. In this situation, the scattered energy is a mixing of the endmember spectra. A challenging task underlying many hyperspectral imagery applications is then decomposing a mixed pixel into a collection of reflectance spectra, called endmember signatures, and the corresponding abundance fractions [8–10]. Depending on the mixing scales at each pixel, the observed mixture is either linear or nonlinear [11, 12]. Linear mixing model holds approximately when the mixing scale is macroscopic [13] and there is negligible interaction among distinct endmembers [3, 14]. If, however, the mixing scale is microscopic (or intimate mixtures) [15, 16] and the incident solar radiation is scattered by the scene through multiple bounces involving several endmembers [17], the linear model is no longer accurate. Linear spectral unmixing has been intensively researched in the last years [9, 10, 12, 18–21]. It considers that a mixed pixel is a linear combination of endmember signatures weighted by the correspondent abundance fractions. Under this model, and assuming that the number of substances and their reflectance spectra are known, hyperspectral unmixing is a linear problem for which many solutions have been proposed (e.g., maximum likelihood estimation [8], spectral signature matching [22], spectral angle mapper [23], subspace projection methods [24,25], and constrained least squares [26]). In most cases, the number of substances and their reflectances are not known and, then, hyperspectral unmixing falls into the class of blind source separation problems [27]. Independent component analysis (ICA) has recently been proposed as a tool to blindly unmix hyperspectral data [28–31]. ICA is based on the assumption of mutually independent sources (abundance fractions), which is not the case of hyperspectral data, since the sum of abundance fractions is constant, implying statistical dependence among them. This dependence compromises ICA applicability to hyperspectral images as shown in Refs. [21, 32]. In fact, ICA finds the endmember signatures by multiplying the spectral vectors with an unmixing matrix, which minimizes the mutual information among sources. If sources are independent, ICA provides the correct unmixing, since the minimum of the mutual information is obtained only when sources are independent. This is no longer true for dependent abundance fractions. Nevertheless, some endmembers may be approximately unmixed. These aspects are addressed in Ref. [33]. Under the linear mixing model, the observations from a scene are in a simplex whose vertices correspond to the endmembers. Several approaches [34–36] have exploited this geometric feature of hyperspectral mixtures [35]. Minimum volume transform (MVT) algorithm [36] determines the simplex of minimum volume containing the data. The method presented in Ref. [37] is also of MVT type but, by introducing the notion of bundles, it takes into account the endmember variability usually present in hyperspectral mixtures. The MVT type approaches are complex from the computational point of view. Usually, these algorithms find in the first place the convex hull defined by the observed data and then fit a minimum volume simplex to it. For example, the gift wrapping algorithm [38] computes the convex hull of n data points in a d-dimensional space with a computational complexity of O(nbd=2cþ1), where bxc is the highest integer lower or equal than x and n is the number of samples. The complexity of the method presented in Ref. [37] is even higher, since the temperature of the simulated annealing algorithm used shall follow a log( ) law [39] to assure convergence (in probability) to the desired solution. Aiming at a lower computational complexity, some algorithms such as the pixel purity index (PPI) [35] and the N-FINDR [40] still find the minimum volume simplex containing the data cloud, but they assume the presence of at least one pure pixel of each endmember in the data. This is a strong requisite that may not hold in some data sets. In any case, these algorithms find the set of most pure pixels in the data. PPI algorithm uses the minimum noise fraction (MNF) [41] as a preprocessing step to reduce dimensionality and to improve the signal-to-noise ratio (SNR). The algorithm then projects every spectral vector onto skewers (large number of random vectors) [35, 42,43]. The points corresponding to extremes, for each skewer direction, are stored. A cumulative account records the number of times each pixel (i.e., a given spectral vector) is found to be an extreme. The pixels with the highest scores are the purest ones. N-FINDR algorithm [40] is based on the fact that in p spectral dimensions, the p-volume defined by a simplex formed by the purest pixels is larger than any other volume defined by any other combination of pixels. This algorithm finds the set of pixels defining the largest volume by inflating a simplex inside the data. ORA SIS [44, 45] is a hyperspectral framework developed by the U.S. Naval Research Laboratory consisting of several algorithms organized in six modules: exemplar selector, adaptative learner, demixer, knowledge base or spectral library, and spatial postrocessor. The first step consists in flat-fielding the spectra. Next, the exemplar selection module is used to select spectral vectors that best represent the smaller convex cone containing the data. The other pixels are rejected when the spectral angle distance (SAD) is less than a given thresh old. The procedure finds the basis for a subspace of a lower dimension using a modified Gram–Schmidt orthogonalizati on. The selected vectors are then projected onto this subspace and a simplex is found by an MV T pro cess. ORA SIS is oriented to real-time target detection from uncrewed air vehicles using hyperspectral data [46]. In this chapter we develop a new algorithm to unmix linear mixtures of endmember spectra. First, the algorithm determines the number of endmembers and the signal subspace using a newly developed concept [47, 48]. Second, the algorithm extracts the most pure pixels present in the data. Unlike other methods, this algorithm is completely automatic and unsupervised. To estimate the number of endmembers and the signal subspace in hyperspectral linear mixtures, the proposed scheme begins by estimating sign al and noise correlation matrices. The latter is based on multiple regression theory. The signal subspace is then identified by selectin g the set of signal eigenvalue s that best represents the data, in the least-square sense [48,49 ], we note, however, that VCA works with projected and with unprojected data. The extraction of the end members exploits two facts: (1) the endmembers are the vertices of a simplex and (2) the affine transformation of a simplex is also a simplex. As PPI and N-FIND R algorithms, VCA also assumes the presence of pure pixels in the data. The algorithm iteratively projects data on to a direction orthogonal to the subspace spanned by the endmembers already determined. The new end member signature corresponds to the extreme of the projection. The algorithm iterates until all end members are exhausted. VCA performs much better than PPI and better than or comparable to N-FI NDR; yet it has a computational complexity between on e and two orders of magnitude lower than N-FINDR. The chapter is structure d as follows. Section 19.2 describes the fundamentals of the proposed method. Section 19.3 and Section 19.4 evaluate the proposed algorithm using simulated and real data, respectively. Section 19.5 presents some concluding remarks.

Dimensão do sector público e crescimento económico: uma relação não linear na União Europeia dos 15?

Os Estados-Membros da União Europeia têm tido a preocupação de reduzirem a dimensão da Administração Pública na economia, a par de a tornar muito mais eficiente de forma a promover o crescimento económico. Neste artigo analisam-se as relações entre a despesa pública e o crescimento económico em 14 Estados-Membros da União Europeia dos 15, com o objectivo de determinar a dimensão óptima das Administrações Públicas, tendo por base teórica a Curva de Armey. Os resultados, para o período 1965-2007, sugerem uma dimensão do sector público maximizadora do crescimento económico de 47,37% e 22,17% do PIB, quando avaliada pelas despesas públicas totais e o consumo público, respectivamente.

Predictive Variables Affecting Transfusion Requirements in Orthotopic Liver Transplantation

INTRODUCTION AND AIMS: Adult orthotopic liver transplantation (OLT) is associated with considerable blood product requirements. The aim of this study was to assess the ability of preoperative information to predict intraoperative red blood cell (RBC) transfusion requirements among adult liver recipients. METHODS: Preoperative variables with previously demonstrated relationships to intraoperative RBC transfusion were identified from the literature: sex, age, pathology, prothrombin time (PT), factor V, hemoglobin (Hb), and platelet count (plt). These variables were then retrospectively collected from 758 consecutive adult patients undergoing OLT from 1997 to 2007. Relationships between these variables and intraoperative blood transfusion requirements were examined by both univariate analysis and multiple linear regression analysis. RESULTS: Univariate analysis confirmed significant associations between RBC transfusion and PT, factor V, Hb, Plt, pathology, and age (P values all < .001). However, stepwise backward multivariate analysis excluded variables Plt and factor V from the multiple regression linear model. The variables included in the final predictive model were PT, Hb, age, and pathology. Patients suffering from liver carcinoma required more blood products than those suffering from other pathologies. Yet, the overall predictive power of the final model was limited (R(2) = .308; adjusted R(2) = .30). CONCLUSION: Preoperative variables have limited predictive power for intraoperative RBC transfusion requirements even when significant statistical associations exist, identifying only a small portion of the observed total transfusion variability. Preoperative PT, Hb, age, and liver pathology seem to be the most significant predictive factors but other factors like severity of liver disease, surgical technique, medical experience in liver transplantation, and other noncontrollable human variables may play important roles to determine the final transfusion requirements.

Atherogenesis and atherosclerosis in primary antiphospholipid syndrome

ABSTRACT: In the late seventies the term “Haematological Stress Syndrome” defined some haematological abnormalities appearing in the course of acute and chronic disorders, such as raised plasma levels of fibrinogen (FNG) and factor VIII, reduced fibrinolytic activity and hyperviscosity. In the early nineties the “Membrane stress syndrome hypothesis” proposed the unification of the concepts of haematological stress syndrome with those of oxidation, inflammation and immune activation to explain the pathogenesis of the antiphospholipid syndrome (APS) Antiphospholipid antibodies, coagulation, fibrinolysis and thrombosis. This chapter investigated the occurrence of the “Haematological Stress Syndrome” and thrombosis in 144 participants positive for aPL detected by clotting and immune tests. Among the clotting assays for the detection of lupus anticoagulant, dilute Russell's viper venom time better correlated with a history of venous thrombosis than activated partial thromboplastin time (p<0.0002 vs p<0.009) and was the only test correlated with a history of arterial thrombosis (p<0.01). By regression analysis, serum levels of IgG anticardiolipin antibodies (aCL) associated with the number of venous occlusions (p<0.001). With regards to FNG and von Willebrand factor (vWF), the former rose by 36% (95% CI; 21%, 53%) and the latter by 50% (95% CI; 29%, 75%) at the first venous occlusion and remained unchanged after subsequent occlusions. At variance FNG rose by 45% (95% CI; 31%, 60%) per arterial occlusion and vWF by 27% (95% CI; 10%, 47%) per arterial occlusion throughout. The coagulation/fibrinolytic balance was cross-sectionally evaluated on 18 thrombotic PAPS patients, 18 subjects with persistence of idiopathic aPL and in healthy controls. Markers of thrombin generation prothrombin fragment 1+2 (F1+2), thrombin-antithrombin complex (TAT) and of fibrin turnover D-Dimer (D-D) were higher in thrombotic (p=0.006)and non-thrombotic subjects (p=0.0001) than in controls as were those of D-D (p<0.0001 and p=0.003 respectively). TAT levels did not differ. Gender analysed data revealed blunted tPA release (hence a negative venous occlusion test) in thrombotic females but neither in thrombotic males (p=0.01) nor in asymptomatic subjects of either sex. Also, in both patient groups females had higher mean PAI than males (p<0.0002) and control females (p<0.02). The activity of factor XIII (FXIIIa) was evaluated was evaluated in 29 patients with PAPS, 14 persistent carriers of aPL without thrombosis, 24 thrombotic patients with inherited thrombophilia, 28 healthy controls and 32 patients with mitral and aortic valve prosthesis as controls for FXIII only. FXIIIa was highest in PAPS (p=0.001), particularly in patients with multiple (n=12) than single occlusion (p=0.02) and in correlation with PAI (p=0.003) and FNG (p=0.005). Moreover FXIIIa was strongly associated with IgG aCL and IgG anti-2GPI (p=0.005 for both) in the PAPS group and to a lesser degree in the aPL group (FXIIIa with IgG aCL, p=0.02, with IgG anti-2GPI, p=0.04). Altogether these results indicate: 1) a differential relationship of aPL, vWF and FNG with venous and arterial thrombosis; 2) heightened thrombin generation, accelerated fibrin turnover and fibrinolysis abnormalities also in asymptomatic carriers of aPLs; 3) enhanced FXIIIa that may contribute to atherothrombosis via increased fibrin/fibrinogen cross-linking. Lipid profile, lipid peroxidation and anti-lipoprotein antibodies in thrombotic primary antiphospholipid syndrome. Given the atherogenic lipid profile of SLE, the same possibility was explored in PAPS by comparing high-density lipoprotein (HDL), low-density lipoprotein (LDL), total cholesterol (CHO), apolipoprotein AI (ApoAI), apolipoprotein B (ApoB), triglycerides (TG), anti-lipoprotein antibodies, beta-2-glycoprotein I complexed to oxidized low-density lipoprotein (oxLDL-2GPI) and C-reactive protein (CRP) in 34 thrombotic PAPS patients compared to 36 thrombotic patients with inherited thrombophilia (IT), to 18 subjects persistently positive for antiphospholipid antibodies (aPL) with no underlying autoimmune or non-autoimmune disorders and to 28 healthy controls. Average concentrations of HDL (p<0.0001), LDL (p<0.0001), CHO (p=0.0002), ApoAI (p=0.002) were lower in PAPS whereas average TRY was higher (p=0.01) than other groups. Moreover PAPS showed higher IgG anti-HDL (p=0.01) and IgG anti-ApoAI (p<0.0001) as well as greater average oxLDL-2GPI (p=0.001) and CRP (p=0.003). Within PAPS, IgG anti-HDL correlated negatively to HDL (p=0.004) and was an independent predictor of oxLDL-2GPI (p=0.009). HDL and ApoAI correlated negatively with CRP (p=0.001 and p=0.007, respectively). IgG anti-HDL may hamper the antioxidant and anti-inflammatory effect of HDL favouring low-grade inflammation and enhanced oxidation in thrombotic PAPS. Indeed plasma 8-epi-prostaglandin F2α (a very specific marker of lipid peroxidation) was significantly higher in 10 patients with PAPS than 10 age and sex matched healthy subjects (p=0.0002) and strongly related to the titre of plasma IgG aCL (r=0.89, p=0.0004). Hence oxidative stress, a major player in atherogenesis, also characterises PAPS. Nitric oxide and nitrative stress in thrombotic primary antiphosholipid syndrome. Oxidative stress goes hand in hand with nitrative stress and to address the latter plasma nitrotyrosine (NT, marker of nitrative stress), nitrite (NO2-) and nitrate (NO3-) were measured in 46 thrombotic PAPS patients, 21 asymptomatic but persistent carriers of antiphospholipid antibodies (PCaPL), 38 patients with inherited thrombophilia (IT), 33 patients with systemic lupus erythematosus (SLE) and 29 healthy controls (CTR). Average crude NT was higher in PAPS and SLE (p=0.01) whereas average plasma NO2- was lower in PAPS and average NO3- highest in SLE (p<0.0001). In PAPS, IgG aCL titer and number of vascular occlusions negatively predicted NO2-, (p=0.03 and p=0.001, respectively) whereas arterial occlusions and smoking positively predicted NO3- (p=0.05 and p=0.005). Moreover CRP (an inflammatory marker) positively predicted NT (p=0.004). Nitric oxide metabolites relates to type and number of vascular occlusions and to aPL titers, whereas nitrative stress relates to low grade marker) positively predicted NT (p=0.004). Nitric oxide metabolites relates to type and number of vascular occlusions and to aPL titers, whereas nitrative stress relates to low grade inflammation and both phenomena may have implications for thrombosis and atherosclerosis in PAPS Inflammation and immune activation in thrombotic primary antiphospholipid syndrome. To investigate inflammation and immune activation in thrombotic PAPS high-sensitivity CRP (hs-CRP), serum amyloid A (SAA), oxLDL-2GPI, CRP bound to oxLDL-2GPI (CRP-oxLDL-2GPI) (as inflammatory markers) neopterin (NPT) and soluble CD14 (sCD14) (as immune activation markers) were measured by ELISA in 41 PAPS patients, in 44 patients with inherited thrombophilia (IT) and 39 controls (CTR). Compared to other groups, PAPS presented with higher plasma concentrations of inflammatory, hs-CRP (p=0.0004), SAA (p<0.01), CRP-oxLDL-2GPI (p=0.0004) and immune activation markers, NPT (p<0.0001) and sCD14 (p=0.007). By regression analysis SAA independently predicted thrombosis number (p=0.003) and NPT independently predicted thrombosis type (arterial, p=0.03) and number (p=0.04). These data confirm that low-grade inflammation and immune activation occur and relate to vascular features of PAPS. Antiphosholipid antibodies, haemostatic variables and atherosclerosis in thrombotic primary antiphospholipid syndrome To evaluate whether IgG aCL titre, haemostatic variables and the lipid profile bore any relationship to the intima media thickness (IMT) of carotid arteries high-resolution sonography was applied to the common carotid (CC), carotid bifurcation (CB) and internal carotid (IC) of 42 aPL subjects, 29 with primary thrombotic antiphospholipid syndrome and 13 with persistence of aPL in the absence of any underlying disorder. The following were measured: plasma FNG, vWF, PAI, homocysteine (HC), CHO, TG, HDL, LDL, platelet numbers and aCL of IgG and IgM isotype. By multiple regression analysis, IgG aCL titre independently predicted IMT at all carotid segments examined (p always <0.005). Plasma FNG and HC independently predicted IMT at the CB (p=0.001 and p<0.0001, respectively) and IC (p=0.03 and p<0.0001, respectively). These data strongly support an atherogenic role for IgG aCL in patients with aPL in addition to traditional risk factors. The atherosclerosis hypothesis was investigated in an age and sex-matched case-double-control study including 49 thrombotic PAPS patients (18 M, 31 F, mean age 37 ± 11), 49 thrombotic patients for IT and 49 healthy subjects. Average IMT was always greater in PAPS than control patients (CC: p=0.004, CB: p=0.013, IC: p=0.001). By dividing participants into age tertiles the IMT was greater in the second (CC: p=0.003, CB: p=0.023, IC: p=0.003) and third tertiles (CC: p=0.03, CB: p=0.004, IC: p=0.007). Conclusion: Coagulation activation, fibrinolysis depression, hightened fibrin turnover, oxidative and nitrative stress in parallel with low grade inflammation and immune activation characterise thrombotic PAPS: all these are early atherogenic processes and contribute to the demonstrated premature atherosclerosis that should be considered a clinical feature of PAPS.

Fatigue life assessment of endodontic instruments subjected to multi planar curvature

This present study aimed to investigate the fatigue life of unused (new) endodontic instruments made of NiTi with control memory by Coltene™ and subjected to the multi curvature of a mandibular first molar root canal. Additionally, the instrument‟s structural behaviour was analysed through non-linear finite element analysis (FEA). The fatigue life of twelve Hyflex™ CM files was assessed while were forced to adopt a stance with multiple radius of curvature, similar to the ones usually found in a mandibular first molar root canal; nine of them were subjected to Pecking motion, a relative movement of axial type. To achieve this, it was designed an experimental setup with the aim of timing the instruments until fracture while worked inside a stainless steel mandibular first molar model with relative axial motion to simulate the pecking motion. Additionally, the model‟s root canal multi-curvature was confirmed by radiography. The non-linear finite element analysis was conducted using the computer aided design software package SolidWorks™ Simulation, in order to define the imposed displacement required by the FEA, it was necessary to model an endodontic instrument with simplified geometry using SolidWorks™ and subsequently analyse the geometry of the root canal CAD model. The experimental results shown that the instruments subjected to pecking motion displayed higher fatigue life values and higher lengths of fractured tips than those with only rotational relative movement. The finite element non-linear analyses shown, for identical conditions, maximum values for the first principal stress lower than the yield strength of the material and those were located in similar positions to the instrument‟s fracture location determined by the experimental testing results.

Local non-negative initial data scalar characterization of the Kerr solution

For any vacuum initial data set, we define a local, non-negative scalar quantity which vanishes at every point of the data hypersurface if and only if the data are Kerr initial data. Our scalar quantity only depends on the quantities used to construct the vacuum initial data set which are the Riemannian metric defined on the initial data hypersurface and a symmetric tensor which plays the role of the second fundamental form of the embedded initial data hypersurface. The dependency is algorithmic in the sense that given the initial data one can compute the scalar quantity by algebraic and differential manipulations, being thus suitable for an implementation in a numerical code. The scalar could also be useful in studies of the non-linear stability of the Kerr solution because it serves to measure the deviation of a vacuum initial data set from the Kerr initial data in a local and algorithmic way.