Topological structure of the solitons solution in SU(3) Dunne-Jackiw-Pi-Trugenberger model

By using phi-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in the SU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a 6 function. For the SU(3) case, we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of phi-mapping. In our solution, the flux of this soliton is naturally quantized.

Financial modelling with 2-EPT probability density functions

The class of all Exponential-Polynomial-Trigonometric (EPT) functions is classical and equal to the Euler-d’Alembert class of solutions of linear differential equations with constant coefficients. The class of non-negative EPT functions defined on [0;1) was discussed in Hanzon and Holland (2010) of which EPT probability density functions are an important subclass. EPT functions can be represented as ceAxb, where A is a square matrix, b a column vector and c a row vector where the triple (A; b; c) is the minimal realization of the EPT function. The minimal triple is only unique up to a basis transformation. Here the class of 2-EPT probability density functions on R is defined and shown to be closed under a variety of operations. The class is also generalised to include mixtures with the pointmass at zero. This class coincides with the class of probability density functions with rational characteristic functions. It is illustrated that the Variance Gamma density is a 2-EPT density under a parameter restriction. A discrete 2-EPT process is a process which has stochastically independent 2-EPT random variables as increments. It is shown that the distribution of the minimum and maximum of such a process is an EPT density mixed with a pointmass at zero. The Laplace Transform of these distributions correspond to the discrete time Wiener-Hopf factors of the discrete time 2-EPT process. A distribution of daily log-returns, observed over the period 1931-2011 from a prominent US index, is approximated with a 2-EPT density function. Without the non-negativity condition, it is illustrated how this problem is transformed into a discrete time rational approximation problem. The rational approximation software RARL2 is used to carry out this approximation. The non-negativity constraint is then imposed via a convex optimisation procedure after the unconstrained approximation. Sufficient and necessary conditions are derived to characterise infinitely divisible EPT and 2-EPT functions. Infinitely divisible 2-EPT density functions generate 2-EPT Lévy processes. An assets log returns can be modelled as a 2-EPT Lévy process. Closed form pricing formulae are then derived for European Options with specific times to maturity. Formulae for discretely monitored Lookback Options and 2-Period Bermudan Options are also provided. Certain Greeks, including Delta and Gamma, of these options are also computed analytically. MATLAB scripts are provided for calculations involving 2-EPT functions. Numerical option pricing examples illustrate the effectiveness of the 2-EPT approach to financial modelling.

High-field FMRI reveals brain activation patterns underlying saccade execution in the human superior colliculus.

BACKGROUND: The superior colliculus (SC) has been shown to play a crucial role in the initiation and coordination of eye- and head-movements. The knowledge about the function of this structure is mainly based on single-unit recordings in animals with relatively few neuroimaging studies investigating eye-movement related brain activity in humans. METHODOLOGY/PRINCIPAL FINDINGS: The present study employed high-field (7 Tesla) functional magnetic resonance imaging (fMRI) to investigate SC responses during endogenously cued saccades in humans. In response to centrally presented instructional cues, subjects either performed saccades away from (centrifugal) or towards (centripetal) the center of straight gaze or maintained fixation at the center position. Compared to central fixation, the execution of saccades elicited hemodynamic activity within a network of cortical and subcortical areas that included the SC, lateral geniculate nucleus (LGN), occipital cortex, striatum, and the pulvinar. CONCLUSIONS/SIGNIFICANCE: Activity in the SC was enhanced contralateral to the direction of the saccade (i.e., greater activity in the right as compared to left SC during leftward saccades and vice versa) during both centrifugal and centripetal saccades, thereby demonstrating that the contralateral predominance for saccade execution that has been shown to exist in animals is also present in the human SC. In addition, centrifugal saccades elicited greater activity in the SC than did centripetal saccades, while also being accompanied by an enhanced deactivation within the prefrontal default-mode network. This pattern of brain activity might reflect the reduced processing effort required to move the eyes toward as compared to away from the center of straight gaze, a position that might serve as a spatial baseline in which the retinotopic and craniotopic reference frames are aligned.

Standing wave oscillations in an electrocatalytic reaction

Experimental standing wave oscillations of the interfacial potential across an electrode have been observed in the electrocatalytic oxidation of formic acid on a Pt ring working electrode. The instantaneous potential distribution was monitored by means of equispaced potential microprobes along the electrode. The oscillatory standing waves spontaneously arose from a homogeneous stationary state prior to a Hopf bifurcation if the reference electrode was placed close to the working electrode. Reduced electrolyte concentrations resulted in aperiodic potential patterns, while the presence of a sufficiently large ohmic resistance completely suppressed spatial inhomogeneities. The experimental findings confirm numerical predictions of a reaction-migration formalism: under the chosen geometry, a long-range negative potential coupling between distant points across the ring electrode can lead to oscillatory potential domains of distinct phase. It is further shown that the occurrence of oscillatory standing waves can be rationalized as the electrochemical equivalent of Turing's second bifurcation (wave bifurcation). In the presence of an external resistance, the coupling becomes positive throughout and leads to spatial synchronization.

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.

Embolização das artérias prostáticas no tratamento da hiperplasia benigna da próstata : estudo anátomo-clínico

Resumo: A hiperplasia benigna da próstata (HBP) tem elevada prevalência nos homens entre os 50 e 79 anos de idade, sendo ubiquitária com o envelhecimento. Devido à significativa morbi-mortalidade associada aos tratamentos médicos e cirúrgicos currentemente disponíveis, são necessárias novas tecnologias para melhorar os resultados e minimizar o desconforto dos doentes. Recentemente, estudos preliminares de experimentação animal e em 3 doentes tratados, sugeriram a embolização arterial prostática selectiva (EAPS) como hipótese terapêutica para a HBP. Decidimos investigar se a EAPS poderia ser um procedimento bem sucedido no tratamento da HBP gravemente sintomática. Para tal realizámos um estudo anátomo-radiológico e clínico em 63 doentes com recurso a uma terapêutica inovadora minimamente invasiva guiada pela imagem. Avaliámos 126 hemipélvis com recurso a Angio-RM, Angio-TC e Angiografia Digital de Subtracção, com o intuito de definir os padrões básicos de bifurcação das artérias ilíacas internas até agora apenas descritos em estudos cadavéricos. Estudámos ainda o suprimento vascular arterial prostático, identificando: 1 as artérias prostáticas; 2 origem e direcção; 3 os ramos intra-prostáticos; 4 anastomoses com outras artérias. Em relação aos resultados anatómicos, identificámos 181 artérias prostáticas, já que em 43.7% das hemipélvis existiam dois pedículos arteriais prostáticos com origens independentes. A origem mais frequente foi a artéria pudenda interna (39.7%), seguida do tronco comum glúteo-pudendo (21%) e da artéria vesical superior (18.2%). Origens menos frequentes foram a artéria obturadora (12.1%), as artérias glúteas inferior (3.9%)ou superior (1.7%), ramos rectais provenientes da artéria mesentérica inferior (1.7%) e a artéria pudenda acessória (1.7%). Identificaram-se anastomoses com as artérias adjacentes em 57.9% dos casos: com a terminação da artéria pudenda interna (41.6%),artérias prostáticas contra-laterais (18.2%) e homo-laterais (11.7%), com ramos rectais (15.6%) e com artérias vesicais (12.9%). Em relação ao estudo clínico tratámos 63 doentes (idades compreendidas entre 52 - 82 anos, média 69.5 anos) com HBP gravemente sintomática refractária à terapêutica médica há mais de 6 meses. Foi possível avaliação após o tratamento em 37 doentes: média de seguimento de 4.7 meses (variando entre 1 e 12 meses). A EAPS unilateral foi possível em todos os doentes, com embolização bilateral em 73% dos casos. A embolização bilateral não foi possível em 27% dos casos devido a tortuosidade, alterações ateroescleróticas e pequeno calibre das artérias ilíacas e/ou prostáticas. Em média houve uma melhoria do International Prostate Symptom Score (IPSS) de 10.8 pontos, da QoL de 1.5 pontos e do Internationl Index of Erectile Function (IIEF) de 2.1 pontos. Houve uma redução média do PSA de 30% (2.4 ng/mL), um aumento do pico de fluxo urinário (Qmax) de 3.1 - 3.85 mL/s e uma redução média do volume prostático de 21% (18.5 mL). Registou-se uma complicação major: pequena área de isquémia da parede vesical tratada cirurgicamente. Em 75% dos doentes tratados obteve-se sucesso clínico com franca melhoria dos sintomas, enquanto 25% dos doentes foram considerados insucesso clínico por se ter registado uma fraca ou ausente melhoria sintomática após a embolização. Os restantes doentes tratados estão sob controlo evolutivo, pararam toda a medicação prostática, sem qualquer caso de disfunção sexual associada com o tratamento. Este trabalho constitui o primeiro estudo anatómico descritivo in vivo das artérias prostáticas, conseguido devido à utilização de técnicas de imagem nunca usadas para este fim. O uso clínico dos dados anatómicos acima referidos permitiu a implementação de técnicas de Radiologia de Intervenção no tratatamento de uma doença de elevada prevalência. ------------------------------- ABSTRACT: Benign prostatic hyperplasia (BPH) has high prevalence in men aged 50–79 years being ubiquitous with aging. Due to significant morbi-mortality associated with currently available medical and surgical treatments, there is the need for innovative technologies to continue to improve outcomes and minimize patient discomfort and morbidity. Recently, prostatic arterial embolization (PAE) was suggested as a treatmentoption for BPH based on preliminary results from animal studies and 3 treated patients. We decided to investigate if PAE might be a successful treatment option for severely symptomatic BPH patients. We performed a clinical and anatomical-radiological study in 63 patients with the use of an inovative image-guided minimally invasive technique. We evaluated 126 pelvic sides using Angio-MR or Angio-CT and Catheter Angiography before embolisation to treat symptomatic BPH. We aimed to define the main branching patterns of the male internal iliac arteries, so far only studied in the cadaver. We also evaluated the prostatic arterial supply, identifying: 1 the prostatic arteries; 2 origin and direction; 3 intra-prostatic branches; 4 anastomoses with surrounding arteries. Regarding the anatomical study we identified 181 prostatic arteries, because in 43.7% of pelvic sides 2 separate prostatic vascular pedicles were found. The most frequent origin was the internal pudendal artery (39.7%) with the common glutealpudendal trunk (21%) and superior vesical arteries (18.2%) the next commonest. Less frequent origins were the obturator artery (12.1%), the inferior (3.9%) or superior (1.7%) gluteal arteries, rectal branches from the inferior mesenteric artery (1.7%) and the accessory pudendal artery (1.7%). There were anastomoses with the surrounding arteries in 57.9% of cases: termination of the internal pudendal artery (41.6%), contralateral prostatic arteries (18.2%), same-side prostatic arteries (11.7%), rectal branches (15.6%), and vesical arteries (12.9%).Regarding the clinical study, we treated 63 patients aged 52–82 years (mean 69.5 years) who presented with symptomatic BPH refractory to medical treatment for at least 6 months. Follow-up evaluation (mean 4.7 months, range 1-12 months) was possible in 37 patients. PAE was achieved in all patients with bilateral embolization in 73%. In 27% PAE was performed unilaterally due to tortuosity, atherosclerotic changes and small size of iliac and prostatic arteries. There was a mean decrease in the IPSS of 10.8 points, a mean improvement in QoL of 1.5 points, and a mean increase in the sexual function score of 2.1 points. There was a mean PSA reduction of 30% (2.4 ng/mL), a Qmax increase of 3.1 to 3.85 mL/sec, and a mean prostate volume decrease of 21% (18.5 mL). There was one major complication: a small area of bladder wall ischemia treated by surgery. Overall, 75% of patients were considered clinical success with major improvement after PAE, while 25% of patients were considered clinical failure with little or no improvement after PAE. All remaining patients are under follow-up, stopped all prostatic medication, and reported no sexual dysfunction. This study is the first one to describe the radiological anatomy of the prostatic arteries, with the use of imaging techniques never used for this purpose before. The clinical use of the anatomical findings allowed the implementation of Interventional Radiology tehniques in the treatment of a disease with a high prevalence.

Ajustamento pelo risco em cardiologia de intervenção : análise de resultados na perspectiva da qualidade e da segurança do do

Dissertação de Doutoramento em Saúde Pública;Especialidade em Política, Gestão e Administração

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?

História da arte e Guerra Fria

Tese apresentada para cumprimento dos requisitos necessários à obtenção do grau de Doutor em História da Arte Contemporânea

Evaluation of cumulative PCB exposure estimated by a job exposure matrix versus PCB serum concentrations.

Although polychlorinated biphenyls (PCBs) have been banned in many countries for more than three decades, exposures to PCBs continue to be of concern due to their long half-lives and carcinogenic effects. In National Institute for Occupational Safety and Health studies, we are using semiquantitative plant-specific job exposure matrices (JEMs) to estimate historical PCB exposures for workers (n = 24,865) exposed to PCBs from 1938 to 1978 at three capacitor manufacturing plants. A subcohort of these workers (n = 410) employed in two of these plants had serum PCB concentrations measured at up to four times between 1976 and 1989. Our objectives were to evaluate the strength of association between an individual worker's measured serum PCB levels and the same worker's cumulative exposure estimated through 1977 with the (1) JEM and (2) duration of employment, and to calculate the explained variance the JEM provides for serum PCB levels using (3) simple linear regression. Consistent strong and statistically significant associations were observed between the cumulative exposures estimated with the JEM and serum PCB concentrations for all years. The strength of association between duration of employment and serum PCBs was good for highly chlorinated (Aroclor 1254/HPCB) but not less chlorinated (Aroclor 1242/LPCB) PCBs. In the simple regression models, cumulative occupational exposure estimated using the JEMs explained 14-24% of the variance of the Aroclor 1242/LPCB and 22-39% for Aroclor 1254/HPCB serum concentrations. We regard the cumulative exposure estimated with the JEM as a better estimate of PCB body burdens than serum concentrations quantified as Aroclor 1242/LPCB and Aroclor 1254/HPCB.

Skin permeation and metabolism of di(2-ethylhexyl) phthalate (DEHP).

Phthalates are suspected to be endocrine disruptors. Di(2-ethylhexyl) phthalate (DEHP) is assumed to have low dermal absorption; however, previous in vitro skin permeation studies have shown large permeation differences. Our aims were to determine DEHP permeation parameters and assess extent of skin DEHP metabolism among workers highly exposed to these lipophilic, low volatile substances. Surgically removed skin from patients undergoing abdominoplasty was immediately dermatomed (800 μm) and mounted on flow-through diffusion cells (1.77 cm(2)) operating at 32°C with cell culture media (aqueous solution) as the reservoir liquid. The cells were dosed either with neat DEHP or emulsified in aqueous solution (166 μg/ml). Samples were analysed by HPLC-MS/MS. DEHP permeated human viable skin only as the metabolite MEHP (100%) after 8h of exposure. Human skin was able to further oxidize MEHP to 5-oxo-MEHP. Neat DEHP applied to the skin hardly permeated skin while the aqueous solution readily permeated skin measured in both cases as concentration of MEHP in the receptor liquid. DEHP pass through human skin, detected as MEHP only when emulsified in aqueous solution, and to a far lesser degree when applied neat to the skin. Using results from older in vitro skin permeation studies with non-viable skin may underestimate skin exposures. Our results are in overall agreement with newer phthalate skin permeation studies.

Evaluation of exposure biomarkers in offshore workers exposed to low benzene and toluene concentrations.

Characterize ethylbenzene and xylene air concentrations, and explore the biological exposure markers (urinary t,t-muconic acid (t,t-MA) and unmetabolized toluene) among petroleum workers offshore. Offshore workers have increased health risks due to simultaneous exposures to several hydrocarbons present in crude oil. We discuss the pooled benzene exposure results from our previous and current studies and possible co-exposure interactions. BTEX air concentrations were measured during three consecutive 12-h work shifts among 10 tank workers, 15 process operators, and 18 controls. Biological samples were collected pre-shift on the first day of study and post-shift on the third day of the study. The geometric mean exposure over the three work shifts were 0.02 ppm benzene, 0.05 ppm toluene, 0.03 ppm ethylbenzene, and 0.06 ppm xylene. Benzene in air was significantly correlated with unmetabolized benzene in blood (r = 0.69, p < 0.001) and urine (r = 0.64, p < 0.001), but not with urinary t,t-MA (r = 0.27, p = 0.20). Toluene in air was highly correlated with the internal dose of toluene in both blood (r = 0.70, p < 0.001) and urine (r = 0.73, p < 0.001). Co-exposures were present; however, an interaction of metabolism was not likely at these low benzene and toluene exposures. Urinary benzene, but not t,t-MA, was a reliable biomarker for benzene at low exposure levels. Urinary toluene was a useful biomarker for toluene exposure. Xylene and ethylbenzene air levels were low. Dermal exposure assessment needs to be performed in future studies among these workers.

Generation of polycyclic aromatic hydrocarbons (PAHs) during woodworking operations.

Occupational exposures to wood dust have been associated with an elevated risk of sinonasal cancer (SNC). Wood dust is recognized as a human carcinogen but the specific cancer causative agent remains unknown. One possible explanation is a co-exposure to; wood dust and polycyclic aromatic hydrocarbons (PAHs). PAHs could be generated during incomplete combustion of wood due to heat created by use of power tools. To determine if PAHs are generated from wood during common wood working operations, PAH concentrations in wood dust samples collected in an experimental chamber operated under controlled conditions were analyzed. In addition, personal air samples from workers exposed to wood dust (n = 30) were collected. Wood dust was generated using three different power tools: vibrating sander, belt sander, and saw; and six wood materials: fir, Medium Density Fiberboard (MDF), beech, mahogany, oak and wood melamine. Monitoring of wood workers was carried out by means of personal sampler device during wood working operations. We measured 21 PAH concentrations in wood dust samples by capillary gas chromatography-ion trap mass spectrometry (GC-MS). Total PAH concentrations in wood dust varied greatly (0.24-7.95 ppm) with the lowest being in MDF dust and the highest in wood melamine dust. Personal PAH exposures were between 37.5-119.8 ng m(-3) during wood working operations. Our results suggest that PAH exposures are present during woodworking operations and hence could play a role in the mechanism of cancer induction related to wood dust exposure.

Human skin in vitro permeation of bentazon and isoproturon formulations with or without protective clothing suit.

Skin exposures to chemicals may lead, through percutaneous permeation, to a significant increase in systemic circulation. Skin is the primary route of entry during some occupational activities, especially in agriculture. To reduce skin exposures, the use of personal protective equipment (PPE) is recommended. PPE efficiency is characterized as the time until products permeate through material (lag time, Tlag). Both skin and PPE permeations are assessed using similar in vitro methods; the diffusion cell system. Flow-through diffusion cells were used in this study to assess the permeation of two herbicides, bentazon and isoproturon, as well as four related commercial formulations (Basagran(®), Basamais(®), Arelon(®) and Matara(®)). Permeation was measured through fresh excised human skin, protective clothing suits (suits) (Microchem(®) 3000, AgriSafe Pro(®), Proshield(®) and Microgard(®) 2000 Plus Green), and a combination of skin and suits. Both herbicides, tested by itself or as an active ingredient in formulations, permeated readily through human skin and tested suits (Tlag < 2 h). High permeation coefficients were obtained regardless of formulations or tested membranes, except for Microchem(®) 3000. Short Tlag, were observed even when skin was covered with suits, except for Microchem(®) 3000. Kp values tended to decrease when suits covered the skin (except when Arelon(®) was applied to skin covered with AgriSafe Pro and Microgard(®) 2000), suggesting that Tlag alone is insufficient in characterizing suits. To better estimate human skin permeations, in vitro experiments should not only use human skin but also consider the intended use of the suit, i.e., the active ingredient concentrations and type of formulations, which significantly affect skin permeation.