THE IMPLICIT FUNCTION THEOREM FOR CONTINUOUS FUNCTIONS

In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence. some versions of these classic theorems are proved when we consider differenciable (not necessarily C-1) maps.

ON SPACES OF COMPACT OPERATORS ON C(K, X) SPACES

This paper concerns the spaces of compact operators kappa(E,F), where E and F are Banach spaces C([1, xi], X) of all continuous X-valued functions defined on the interval of ordinals [1, xi] and equipped with the supremun norm. We provide sufficient conditions on X, Y, alpha, beta, xi and eta, with omega <= alpha <= beta < omega 1 for the following equivalence: (a) kappa(C([1, xi], X), C([1, alpha], Y)) is isomorphic to kappa(C([1,eta], X), C([1, beta], Y)), (b) beta < alpha(omega). In this way, we unify and extend results due to Bessaga and Pelczynski (1960) and C. Samuel (2009). Our result covers the case of the classical spaces X = l(p) and Y = l(q) with 1 < p, q < infinity.

Supplementation of Vitamin E, Vitamin C, and Zinc Attenuates Oxidative Stress in Burned Children: A Randomized, Double-Blind, Placebo-Controlled Pilot Study

The aim of this study was to investigate the effect of supplementation of vitamin E, vitamin C, and zinc on the oxidative stress in burned children. In a prospective double-blind placebo-controlled pilot study, 32 patients were randomized as no supplementation (n = 15) or antioxidant supplementation (n = 17) groups. Supplementation consisted of the antioxidant mixture of vitamin C (1.5 times upper intake level), vitamin E (1.35 times upper intake level), and zinc (2.0 times recommended dietary allowance) administered during 7 days starting on the second day of admittance into the hospital. Energy requirement was calculated by the Curreri equation, and protein input was 3.0 g/kg of ideal body mass index (percentile 50 degrees). Total antioxidant capacity of plasma and malondialdehyde were used to monitor oxidative stress. The time of wound healing was evaluated as the main clinical feature. Patients (age 54.2 +/- 48.9 months, 65.6% males), who exhibited 15.5 +/- 6.7% of total burn area, showed no differences in age and sex, when compared with controls. Intake of the administered antioxidants was obviously higher in treated subjects (P = .005), and serum differences were confirmed for vitamin E and C, but not for zinc (P = .180). There was a decrease in lipid peroxidation (malondialdehyde level) (P = .006) and an increase in vitamin E concentrations in the antioxidant supplementation group (P = .016). The time of wound healing was lower in the supplemented group (P < .001). The antioxidant supplementation through vitamin E and C and the mineral zinc apparently enhanced antioxidant protection against oxidative stress and allowed less time for wound healing. (J Burn Care Res 2009;30:859-866)

Brachial artery pulsatility index change 1 minute after 5-minute forearm compression - Comparison with flow-mediated dilatation

Objective. Endothelial impairment evaluation by sonographic measurement of flow-mediated dilatation (FMD) has become broadly used. However, this method has 2 main caveats: the dilatation depends on the baseline arterial diameter, and a high precision level is required. Vasodilatation leads to an amplified fall in impedance. We hypothesized that assessment of the pulsatility index change (PI-C) 1 minute after 5-minute forearm compression might evaluate that fall in impedance. The aim of this study was to compare the PI-C with FMD. Methods. Flow-mediated dilatation and the PI-C were assessed in 51 healthy women aged between 35.1 and 67.1 years. We correlated both FMD and the PI-C with age, body mass index, waist circumference, cholesterol level, high-density lipoprotein level, glucose level, systolic and diastolic blood pressure, pulse pressure, brachial artery diameter, simplified Framingham score, intima-media thickness, and carotid stiffness index. Intraclass correlation coefficients between 2 FMD and PI-C measurements were also examined. Results. Only FMD correlated with baseline brachial diameter (r=-0.53). The PI-C had a high correlation with age, body mass index, waist circumference, cholesterol level, systolic blood pressure, pulse pressure, simplified Framingham score, and intima-media thickness. The correlation between FMD and the PI-C was high (r=-0.66). The PI-C had a higher intraclass correlation coefficient (0.991) than FMD (0.836) but not brachial artery diameter (0.989). Conclusions. The PI-C had a large correlation with various markers of cardiovascular risk. Additionally, PI-C measurement does not require offline analysis, extra software, or electrocardiography We think that the PI-C could be considered a marker of endothelial function. However, more studies are required before further conclusions.

Phase diagram and spectral properties of a new exactly integrable spin-1 quantum chain

The spectral properties and phase diagram of the exactly integrable spin-1 quantum chain introduced by Alcaraz and Bariev are presented. The model has a U(1) symmetry and its integrability is associated with an unknown R-matrix whose dependence on the spectral parameters is not of a different form. The associated Bethe ansatz equations that fix the eigenspectra are distinct from those associated with other known integrable spin models. The model has a free parameter t(p). We show that at the special point t(p) = 1, the model acquires an extra U(1) symmetry and reduces to the deformed SU(3) Perk-Schultz model at a special value of its anisotropy q = exp(i2 pi/3) and in the presence of an external magnetic field. Our analysis is carried out either by solving the associated Bethe ansatz equations or by direct diagonalization of the quantum Hamiltonian for small lattice sizes. The phase diagram is calculated by exploring the consequences of conformal invariance on the finite-size corrections of the Hamiltonian eigenspectrum. The model exhibits a critical phase ruled by the c = 1 conformal field theory separated from a massive phase by first-order phase transitions.

SUPPORT OF MAXIMIZING MEASURES FOR TYPICAL C(0) DYNAMICS ON COMPACT MANIFOLDS

Given a compact manifold X, a continuous function g : X -> IR, and a map T : X -> X, we study properties of the T-invariant Borel probability measures that maximize the integral of g. We show that if X is a n-dimensional connected Riemaniann manifold, with n >= 2, then the set of homeomorphisms for which there is a maximizing measure supported on a periodic orbit is meager. We also show that, if X is the circle, then the ""topological size"" of the set of endomorphisms for which there are g maximizing measures with support on a periodic orbit depends on properties of the function g. In particular, if g is C(1), it has interior points.

Ethanol oxidation reaction on PtCeO(2)/C electrocatalysts prepared by the polymeric precursor method

This paper presents a study of the electrocatalysis of ethanol oxidation reactions in an acidic medium on Pt-CeO(2)/C (20 wt.% of Pt-CeO(2) on carbon XC-72R), prepared in different mass ratios by the polymeric precursor method. The mass ratios between Pt and CeO(2) (3:1, 2:1, 1:1, 1:2, 1:3) were confirmed by Energy Dispersive X-ray Analysis (EDAX). X-ray diffraction (XRD) structural characterization data shows that the Pt-CeO(2)/C catalysts are composed of nanosized polycrystalline non-alloyed deposits, from which reflections corresponding to the fcc (Pt) and fluorite (CeO(2)) structures were clearly observed. The mean crystallite sizes calculated from XRD data revealed that, independent of the mass ratio, a value close to 3 nm was obtained for the CeO(2) particles. For Pt, the mean crystallite sizes were dependent on the ratio of this metal in the catalysts. Low platinum ratios resulted in small crystallites. and high Pt proportions resulted in larger crystallites. The size distributions of the catalysts particles, determined by XRD, were confirmed by Transmission Electron Microscope (TEM) imaging. Cyclic voltammetry and chronoamperometic experiments were used to evaluate the electrocatalytic performance of the different materials. In all cases, except Pt-CeO(2)/C 1:1, the Pt-Ceo(2)/C catalysts exhibited improved performance when compared with Pt/C. The best result was obtained for the Pt-CeO(2)/C 1:3 catalyst, which gave better results than the Pt-Ru/C (Etek) catalyst. (C) 2009 Elsevier B.V. All rights reserved.

Validation of an experimental polyurethane model for biomechanical studies on implant-supported prosthesis: compression tests

OBJECTIVES: The complexity and heterogeneity of human bone, as well as ethical issues, most always hinder the performance of clinical trials. Thus, in vitro studies become an important source of information for the understanding of biomechanical events on implant-supported prostheses, although study results cannot be considered reliable unless validation studies are conducted. The purpose of this work was to validate an artificial experimental model based on its modulus of elasticity, to simulate the performance of human bone in vivo in biomechanical studies of implant-supported prostheses. MATERIAL AND METHODS: In this study, fast-curing polyurethane (F16 polyurethane, Axson) was used to build 40 specimens that were divided into five groups. The following reagent ratios (part A/part B) were used: Group A (0.5/1.0), Group B (0.8/1.0), Group C (1.0/1.0), Group D (1.2/1.0), and Group E (1.5/1.0). A universal testing machine (Kratos model K - 2000 MP) was used to measure modulus of elasticity values by compression. RESULTS: Mean modulus of elasticity values were: Group A - 389.72 MPa, Group B - 529.19 MPa, Group C - 571.11 MPa, Group D - 470.35 MPa, Group E - 437.36 MPa. CONCLUSION: The best mechanical characteristics and modulus of elasticity value comparable to that of human trabecular bone were obtained when A/B ratio was 1:1.

O exercício físico melhora a sensibilidade à insulina de ratos expostos à fumaça de cigarro

INTRODUÇÃO E OBJETIVO: Sabe-se que o tabagismo pode provocar alterações cardiovasculares e redução na sensibilidade à insulina, e que o exercício físico melhora este quadro. O objetivo do estudo foi avaliar o efeito do tabagismo e da prática de atividade física sobre a sensibilidade à insulina em músculo cardíaco de ratos, através da avaliação de expressão do transportador de glicose GLUT4. MÉTODOS: Ratos machos Wistar foram divididos em quatro grupos: (CS) controle, (CE) controle exercitado, (FS) fumante sedentário e (FE) fumante submetido ao exercício físico. Os grupos FS e FE foram submetidos à combustão de quatro cigarros/30 min/60 dias, 2x/dia. Os grupos CE e FE executaram corrida em esteira rolante durante 60 min/60 dias. Foi realizado teste de tolerância à insulina, e a expressão de GLUT4 no coração foi feita através de Western Blotting - ECL e RT-PCR. Foi utilizado método estatístico descritivo e o teste ANOVA, e as diferenças entre os grupos foram consideradas significantes quando P < 0,05. RESULTADOS: Nem o tabagismo nem a atividade física alteraram o peso corpóreo (CS: 364,7 ± 9,7; CE: 372,4 ± 7,2, FS: 368,9 ± 6,7; FE: 376,4 ± 7,8g) e o peso do coração (CS: 1,12 ± 0,05; CE: 1,16 ± 0,04; FS: 1,14 ± 0,05; FE: 1,19 ± 0,05g). A sensibilidade à insulina foi reduzida no grupo fumante, porém, a prática de exercício físico melhorou este quadro (CS: 3,7 ± 0,3; CE: 5,28 ± 0,5*; FS: 2,1 ± 0,7*; FE: 4,8 ± 0,09** %/min; *P < 0,05 vs. CS, **P < 0,05 vs. FS). Os conteúdos de RNAm e de proteína não se alteraram entre os grupos. Porém, quando se calculou o conteúdo total de proteína GLUT4 por grama de tecido, observou-se que o tabagismo causou redução e que o exercício induziu aumento neste parâmetro (CS: 119,72 ± 9,98; CE: 143,09 ± 9,09; FS: 84,36 ± 10,99*; FE: 132,18 ± 11,40# UA/g tecido, *P < 0,05 vs. CS, #P < 0,01 vs. FS). CONCLUSÃO: Conclui-se que o tabagismo reduz a sensibilidade à insulina e a capacidade do coração captar glicose. Já a prática de exercício físico moderado reverte este quadro por completo.

Tempo de vida útil de propelentes base-simples

The purpose of this work was to determine the safe shelf life of single-base propellants. The kinetic parameters relative to the consumption of the stabilizer diphenylamine (DPA) added to the propellant were determined as a function of the storage and ageing time. High Performance Liquid Chromatography (HPLC) with spectrophotometric detection was used to determine the DPA percentage before and after the artificial ageing at 60, 70 and 80 ºC. The experimental data were very well adjusted to a pseudo-first order kinetic model and the respective kinetic constants are 8.0-10-3 day-1 (60 ºC); 1.9-10-2 day-1 (70 ºC); 1.2-10-1 day-1 (80 ºC). The activation energy was calculated as 130 kJ mol-1 and the half-time for depletion of the DPA at the hypothetical temperature of 40 ºC of storage was estimated as being 6 years.

Condições de atmosfera controlada para pêssegos "maciel" colhidos em dois estádios de maturação

O objetivo deste trabalho foi avaliar o efeito de duas temperaturas e condições de atmosfera controlada (AC) sobre a conservação de pêssegos da cultivar Maciel, colhidos em dois estádios de maturação. Os tratamentos avaliados foram: armazenamento refrigerado (AR) na temperatura de +0,5°C; AR na temperatura de -0,5°C; 2,0kPa O2 + 4,0kPa CO2 em -0,5°C; 1,0kPa O2 + 3,0kPa CO2 em -0,5°C; 2,0kPa O2 + 6,0kPa CO2 em -0,5°C. As avaliações foram realizadas após 60 dias de armazenamento e mais dois e quatro dias de exposição dos frutos à temperatura de 20ºC. Na análise realizada após dois meses de armazenamento, mais dois dias a 20°C, verificou-se que os frutos submetidos a 2,0kPa de O2 + 4,0 kPa de CO2 apresentaram maior firmeza de polpa em relação aos demais tratamentos, sendo que a mesma não foi influenciada pelo estádio de maturação. Os sólidos solúveis totais foram maiores em frutos com estádio de maturação maduro independente da condição de armazenamento. A ocorrência de podridões e escurecimento interno da polpa não foi influenciada pelo estádio de maturação. No entanto, a condição de AC de 1,0 kPa de O2 + 3,0kPa de CO2 proporcionou o menor percentual de podridões e escurecimento interno da polpa em relação aos demais tratamentos. Na avaliação realizada aos quatro dias de exposição a 20°C, os frutos colhidos no estádio maduro estavam completamente podres, independente da condição de armazenamento praticada.

Renal hypothermia: Experience in pigs and clinical trial

Purpose: This study was designed to compare the effectiveness of two methods of inducing renal hypothermia through laparoscopy in pigs and humans. Materials and Methods: Twelve pigs were divided into four groups of three animals each. Both kidneys of the animals in Groups A, B, and C were submitted to pelvic irrigation with cold saline (4 degrees C) for 20 minutes, with flow rates of 5 mL/min, 10 mL/min, and 15 mL/min, respectively. In Group D renal hypothermia was induced by intracorporeal ice slush applied to the surface for 20 minutes. All maneuvers were performed laparoscopically and renal cortex temperature was measured by a thermocouple needle. Five human patients also underwent laparoscopic partial nephrectomy due to renal cell carcinoma. In one case renoprotection was induced by retrograde endoscopic cold saline perfusion at a flow rate of 10 mL/min. In the remaining four patients we induced renal hypothermia via laparoscopic application of ice slush. The renal temperature of the human patients was also monitored using a thermocouple needle. Results: In the pigs, at 20 minutes of renal pelvis perfusion the mean renal temperature, the temperature drop, and saline flow per gram of kidney were: Group A, -29.5 degrees C +/- 1.1 (-6.3 degrees C; 0.10 mL); Group B, -22.8 degrees C +/- 1.1 (-13.1 degrees C; 0.22 mL); and Group C, -21.1 degrees C +/- 0.9 (-14.9 degrees C; 0.31 mL). In Group D the mean renal cortex temperature at 20 minutes was 13.6 degrees C +/- 1.2, a drop of -22.5 degrees C. There were striking differences among the groups (P < 0.0001). The laparoscopic partial nephrectomy was uneventful in all five human patients. The lowest renal cortex temperature was 32.5 degrees C, seen in the patient who submitted to pelvic irrigation with cold saline, and the mean temperature drop was 19.1 degrees C +/- 2.5 degrees C in the patients who submitted to ice slush-induced renal hypothermia. Conclusions: Induction of renal hypothermia using intracorporeal ice slush confers lower kidney temperatures than endoscopically-induced cold saline perfusion.

uvby-beta photometry of solar twins The solar colors, model atmospheres, and the T(eff) and metallicity scales

Aims. Solar colors have been determined on the uvby-beta photometric system to test absolute solar fluxes, to examine colors predicted by model atmospheres as a function of stellar parameters (T(eff), log g, [Fe/H]), and to probe zero-points of T(eff) and metallicity scales. Methods. New uvby-beta photometry is presented for 73 solar-twin candidates. Most stars of our sample have also been observed spectroscopically to obtain accurate stellar parameters. Using the stars that most closely resemble the Sun, and complementing our data with photometry available in the literature, the solar colors on the uvby-beta system have been inferred. Our solar colors are compared with synthetic solar colors computed from absolute solar spectra and from the latest Kurucz (ATLAS9) and MARCS model atmospheres. The zero-points of different T(eff) and metallicity scales are verified and corrections are proposed. Results. Our solar colors are (b - y)(circle dot) = 0.4105 +/- 0.0015, m(1,circle dot) = 0.2122 +/- 0.0018, c(1,circle dot) = 0.3319 +/- 0.0054, and beta(circle dot) = 2.5915 +/- 0.0024. The (b - y)(circle dot) and m(1,circle dot) colors obtained from absolute spectrophotometry of the Sun agree within 3-sigma with the solar colors derived here when the photometric zero-points are determined from either the STIS HST observations of Vega or an ATLAS9 Vega model, but the c(1,circle dot) and beta(circle dot) synthetic colors inferred from absolute solar spectra agree with our solar colors only when the zero-points based on the ATLAS9 model are adopted. The Kurucz solar model provides a better fit to our observations than the MARCS model. For photometric values computed from the Kurucz models, (b - y)(circle dot) and m(1,circle dot) are in excellent agreement with our solar colors independently of the adopted zero-points, but for c(1,circle dot) and beta circle dot agreement is found only when adopting the ATLAS9 zero-points. The c(1,circle dot) color computed from both the Kurucz and MARCS models is the most discrepant, probably revealing problems either with the models or observations in the u band. The T(eff) calibration of Alonso and collaborators has the poorest performance (similar to 140 K off), while the relation of Casagrande and collaborators is the most accurate (within 10 K). We confirm that the Ramirez & Melendez uvby metallicity calibration, recommended by Arnadottir and collaborators to obtain [Fe/H] in F, G, and K dwarfs, needs a small (similar to 10%) zero-point correction to place the stars and the Sun on the same metallicity scale. Finally, we confirm that the c(1) index in solar analogs has a strong metallicity sensitivity.

LOCAL WELL POSEDNESS, ASYMPTOTIC BEHAVIOR AND ASYMPTOTIC BOOTSTRAPPING FOR A CLASS OF SEMILINEAR EVOLUTION EQUATIONS OF THE SECOND ORDER IN TIME

A class of semilinear evolution equations of the second order in time of the form u(tt)+Au+mu Au(t)+Au(tt) = f(u) is considered, where -A is the Dirichlet Laplacian, 92 is a smooth bounded domain in R(N) and f is an element of C(1) (R, R). A local well posedness result is proved in the Banach spaces W(0)(1,p)(Omega)xW(0)(1,P)(Omega) when f satisfies appropriate critical growth conditions. In the Hilbert setting, if f satisfies all additional dissipativeness condition, the nonlinear Semigroup of global solutions is shown to possess a gradient-like attractor. Existence and regularity of the global attractor are also investigated following the unified semigroup approach, bootstrapping and the interpolation-extrapolation techniques.

Critical behavior of the susceptible-infected-recovered model on a square lattice

By means of numerical simulations and epidemic analysis, the transition point of the stochastic asynchronous susceptible-infected-recovered model on a square lattice is found to be c(0)=0.176 500 5(10), where c is the probability a chosen infected site spontaneously recovers rather than tries to infect one neighbor. This point corresponds to an infection/recovery rate of lambda(c)=(1-c(0))/c(0)=4.665 71(3) and a net transmissibility of (1-c(0))/(1+3c(0))=0.538 410(2), which falls between the rigorous bounds of the site and bond thresholds. The critical behavior of the model is consistent with the two-dimensional percolation universality class, but local growth probabilities differ from those of dynamic percolation cluster growth, as is demonstrated explicitly.