On the analytical solutions of the Hindmarsh-Rose neuronal model

In this article we analytically solve the Hindmarsh-Rose model (Proc R Soc Lond B221:87-102, 1984) by means of a technique developed for strongly nonlinear problems-the step homotopy analysis method. This analytical algorithm, based on a modification of the standard homotopy analysis method, allows us to obtain a one-parameter family of explicit series solutions for the studied neuronal model. The Hindmarsh-Rose system represents a paradigmatic example of models developed to qualitatively reproduce the electrical activity of cell membranes. By using the homotopy solutions, we investigate the dynamical effect of two chosen biologically meaningful bifurcation parameters: the injected current I and the parameter r, representing the ratio of time scales between spiking (fast dynamics) and resting (slow dynamics). The auxiliary parameter involved in the analytical method provides us with an elegant way to ensure convergent series solutions of the neuronal model. Our analytical results are found to be in excellent agreement with the numerical simulations.

Blood culture as a parameter of treatment effectiveness in experimental histoplasmosis of the hamster

The aim of this study was to determine the value of blood culture as a parameter of treatment effectiveness in experimental histoplasmosis. A total of thirty five hamsters, weighing approximately 120g, were inoculated intracardiacly with 0.1 ml of a suspension containing 4 x 10(7) cells/ml of the yeast phase of H. capsulatum. Treatments were started one week after the infection and lasted for 3 weeks. The azoles, (itraconazole, saperconazole and fluconazole) were administered once a day by gavage, at a dose of 8 mg/kg; Amphotericin B was given intraperitonealy every other day at a dose of 6mg/kg. Blood samples (1 ml) were obtained by heart punction from the 4th day after infection and were seeded in Sabouraud honey-agar and BHI-agar. The hamsters that survived were killed one week after treatment completion and the following criteria were considered for treatment evaluation: 1) rate of spontaneous death, at the end of the experience; 2) microscopic examination of Giemsa smears from liver and spleen and 3) determination of CFU in spleen cultures. Amphotericin B was the most effective drug, with negative blood cultures at day 20, negative spleen cultures in all cases and all the animals survived until the end of the study. Fluconazole was the less effective drug, blood cultures were positive during the whole experience, spleen cultures showed a similar average of CFU when compared with the control animals and 42.8% of these animals died. Saperconazole and itraconazole showed a similar activity, with survival of all hamsters and negative blood cultures at 23 and 26 days respectively. Blood culture seems to be valuable parameter for treatments' evaluation in experimental histoplasmosis of the hamster.

Smart Grid Communication Technologies in the Brazilian Electrical Sector

Intelligent electrical grids can be considered as the next generation of electrical energy transportation. The enormous potential leads to worldwide focus of research on the technology of smart grids. This paper aims to present a review of the Brazilian electricity sector in context with the integration of communication technologies for smart grids. The work gives an overview of the generation, transmission and distribution of electrical energy in the Brazil and a brief summary of the current electricity market. Smart grid technologies are introduced and the requirements for the Brazilian power system are pointed out. Various technologies for communication within an intelligent network are presented and their characteristics, advantages and disadvantages are compared to the Brazilian conditions. In addition, a summary is given of current pilot projects for Smart Grid technologies within Brazil, as well as a presentation of individual selected projects.

Isoenzyme profile as parameter to differentiate pathogenic strains of Entamoeba histolytica in Brazil

The isoenzyme profiles (IP) of 33 strains of Entamoeba histolytica isolated from patients and carriers of two regions in Brazil (Amazonia and Southeast) were determined. The enzymes phosphoglucomutase, glucose-phosphate isomerase, hexokinase and malic enzyme were considered. IP of the strains was correlated with culture conditions, time of maintenance in laboratory and clinical history of patients. The strains were maintained under polyxenic, monoxenic and axenic culture conditions: 27 polyxenic, 1 polyxenic and monoxenic, 1 polyxenic, monoxenic and axenic and 4 axenic only. The patients were symptomatic and asymptomatic. The symptomatic patients presented either non dysenteric (NDC) or dysenteric colitis (DC), associated or not with hepatic abscess (HA). One patient presented anal amoeboma (AM). The analysis of IP for isolates maintained in polyxenic culture showed non pathogenic IP (I) for strains from carriers and patients with NDC, while the strains isolated from patients presenting DC, HA and AM resulted in isolates II or XIX pathogenic IP. This parameter was not able to differentiate strains from carriers from symptomatic patients when these strains were found in axenic or monoxenic culture. All these strains displayed pathogenic IP (II), demonstrating the inability of this parameter to classifying for virulence since it showed identical IP for strains isolated from carriers or symptomatic patients.

Análise de sensibilidade na simulação dinâmica de um grande edifício escolar existente

Dado o panorama de conservação de energia a nível nacional e mundial, torna-se hoje em dia muito importante, que seja possível controlar e estimar o consumo energético nos edifícios. Assim, atendendo à actual problemática energética e ao crescente consumo energético nos edifícios, é importante parametrizar, avaliar e comparar este consumo. Neste sentido, nas últimas décadas, têm sido efectuados desenvolvimentos técnicos, quer ao nível do equipamento de campo para efectuar monitorização e medição, quer ao nível da simulação dinâmica de edifícios. Com esta dissertação de mestrado, pretendeu-se efectuar a simulação dinâmica de um edifício escolar existente a funcionar em pleno, e efectuar uma análise de sensibilidade relativamente ao grau de variação dos resultados obtidos através da aplicação de dois programas de cálculo térmico e energético. Foram utilizados, o programa VE-Pro da IES (Integrated Environmental Solutions) e o programa Trace 700 da TRANE. Ambos os programas foram parametrizados com os mesmos dados de entrada, tendo em atenção as opções de simulação disponibilizadas por ambos. Posteriormente, utilizaram-se os dados retirados da simulação para calcular a classificação energética no âmbito do sistema de certificação energética (SCE), através de uma folha de cálculo desenvolvida para o efeito. Foram ainda consideradas várias soluções de eficiência energética para o edifício, com vista a poupanças reais de energia, tendo sempre atenção ao conforto térmico dos ocupantes. Dessas medidas fazem parte, medidas relacionadas com a iluminação, como a substituição da iluminação existente por luminárias do tipo LED (Light Emitting Diode), soluções de energias renováveis, como a instalação de colectores solares para aquecimento das águas quentes sanitárias, e painéis fotovoltaicos para produção de energia, bem como medidas ligadas aos equipamentos de climatização. Posteriormente, recalculou-se a classificação energética afectada das melhorias. Os resultados obtidos nas duas simulações foram analisados sob o ponto de vista do aquecimento, arrefecimento, ventilação, iluminação e equipamentos eléctricos. A comparação das duas simulações para cada parâmetro acima referido, apresentaram variações inferiores a 5%. O desvio maior verificou-se na ventilação, com o valor de aproximadamente 4,9%. Transpondo estes resultados para o cálculo do IEE (Índice de Eficiência Energética), verificou-se um desvio inferior a 2%.

Sol-Gel Chemistry in Biosensing Devices of Electrical Transduction: Application to CEA Cancer Biomarker

Sol-gel chemistry allows the immobilization of organic molecules of biological origin on suibtable solid supports, permitting their integration into biosensing devices widening the possibility of local applications. The present work is an application of this principle, where the link between electrical receptor platform and the antibody acting as biorecognition element is made by sol-gel chemistry. The immunosensor design was targeted for carcinoembryonic antigen (CEA), an important biomarker for screening the colorectal cancer, by electrochemical techniques, namely electrochemical impedance spectroscopy (EIS) and square wave voltammetry (SVW). The device displayed linear behavior to CEA in EIS and in SWV assays ranging from 0.50 to 1.5ng/mL, and 0.25 to 1.5ng/mL, respectively. The corresponding detection limits were 0.42 and 0.043 ng/mL. Raman spectroscopy was used to characterize the surface modifications on the conductive platform (FTO glass). Overall, simple sol-gel chemistry was effective at the biosensing design and the presented approach can be a potential method for screening CEA in point-of-care, due to the simplicity of fabrication, short response time and low cost. - See more at: http://www.eurekaselect.com/127192/article#sthash.m1AWhINx.dpuf

Modeling Vegetable Fractals by means of Fractional-order Equations

This paper characterizes four ‘fractal vegetables’: (i) cauliflower (brassica oleracea var. Botrytis); (ii) broccoli (brassica oleracea var. italica); (iii) round cabbage (brassica oleracea var. capitata) and (iv) Brussels sprout (brassica oleracea var. gemmifera), by means of electrical impedance spectroscopy and fractional calculus tools. Experimental data is approximated using fractional-order models and the corresponding parameters are determined with a genetic algorithm. The Havriliak-Negami five-parameter model fits well into the data, demonstrating that classical formulae can constitute simple and reliable models to characterize biological structures.

Electrical Skin Phenomena: A Fractional Calculus Analysis

The internal impedance of a wire is the function of the frequency. In a conductor, where the conductivity is sufficiently high, the displacement current density can be neglected. In this case, the conduction current density is given by the product of the electric field and the conductance. One of the aspects the high-frequency effects is the skin effect (SE). The fundamental problem with SE is it attenuates the higher frequency components of a signal. The SE was first verified by Kelvin in 1887. Since then many researchers developed work on the subject and presently a comprehensive physical model, based on the Maxwell equations, is well established. The Maxwell formalism plays a fundamental role in the electromagnetic theory. These equations lead to the derivation of mathematical descriptions useful in many applications in physics and engineering. Maxwell is generally regarded as the 19th century scientist who had the greatest influence on 20th century physics, making contributions to the fundamental models of nature. The Maxwell equations involve only the integer-order calculus and, therefore, it is natural that the resulting classical models adopted in electrical engineering reflect this perspective. Recently, a closer look of some phenomas present in electrical systems and the motivation towards the development of precise models, seem to point out the requirement for a fractional calculus approach. Bearing these ideas in mind, in this study we address the SE and we re-evaluate the results demonstrating its fractional-order nature.

Fractional Dynamics and Control of Distributed Parameter Systems

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses a FC perspective in the study of the dynamics and control of some distributed parameter systems.

Prognostic Value of a New Cardiopulmonary Exercise Testing Parameter in Chronic Heart Failure: Oxygen Uptake Efficiency at Peak Exercise - Comparison with Oxygen Uptake Efficiency Slope

INTRODUCTION: A growing body of evidence shows the prognostic value of oxygen uptake efficiency slope (OUES), a cardiopulmonary exercise test (CPET) parameter derived from the logarithmic relationship between O(2) consumption (VO(2)) and minute ventilation (VE) in patients with chronic heart failure (CHF). OBJECTIVE: To evaluate the prognostic value of a new CPET parameter - peak oxygen uptake efficiency (POUE) - and to compare it with OUES in patients with CHF. METHODS: We prospectively studied 206 consecutive patients with stable CHF due to dilated cardiomyopathy - 153 male, aged 53.3±13.0 years, 35.4% of ischemic etiology, left ventricular ejection fraction 27.7±8.0%, 81.1% in sinus rhythm, 97.1% receiving ACE-Is or ARBs, 78.2% beta-blockers and 60.2% spironolactone - who performed a first maximal symptom-limited treadmill CPET, using the modified Bruce protocol. In 33% of patients an cardioverter-defibrillator (ICD) or cardiac resynchronization therapy device (CRT-D) was implanted during follow-up. Peak VO(2), percentage of predicted peak VO(2), VE/VCO(2) slope, OUES and POUE were analyzed. OUES was calculated using the formula VO(2) (l/min) = OUES (log(10)VE) + b. POUE was calculated as pVO(2) (l/min) / log(10)peakVE (l/min). Correlation coefficients between the studied parameters were obtained. The prognosis of each variable adjusted for age was evaluated through Cox proportional hazard models and R2 percent (R2%) and V index (V6) were used as measures of the predictive accuracy of events of each of these variables. Receiver operating characteristic (ROC) curves from logistic regression models were used to determine the cut-offs for OUES and POUE. RESULTS: pVO(2): 20.5±5.9; percentage of predicted peak VO(2): 68.6±18.2; VE/VCO(2) slope: 30.6±8.3; OUES: 1.85±0.61; POUE: 0.88±0.27. During a mean follow-up of 33.1±14.8 months, 45 (21.8%) patients died, 10 (4.9%) underwent urgent heart transplantation and in three patients (1.5%) a left ventricular assist device was implanted. All variables proved to be independent predictors of this combined event; however, VE/VCO2 slope was most strongly associated with events (HR 11.14). In this population, POUE was associated with a higher risk of events than OUES (HR 9.61 vs. 7.01), and was also a better predictor of events (R2: 28.91 vs. 22.37). CONCLUSION: POUE was more strongly associated with death, urgent heart transplantation and implantation of a left ventricular assist device and proved to be a better predictor of events than OUES. These results suggest that this new parameter can increase the prognostic value of CPET in patients with CHF.

Symmetry and order parameter dynamics of the human odometer

Bipedal gaits have been classified on the basis of the group symmetry of the minimal network of identical differential equations (alias cells) required to model them. Primary bipedal gaits (e.g., walk, run) are characterized by dihedral symmetry, whereas secondary bipedal gaits (e.g., gallop-walk, gallop- run) are characterized by a lower, cyclic symmetry. This fact has been used in tests of human odometry (e.g., Turvey et al. in P Roy Soc Lond B Biol 276:4309–4314, 2009, J Exp Psychol Hum Percept Perform 38:1014–1025, 2012). Results suggest that when distance is measured and reported by gaits from the same symmetry class, primary and secondary gaits are comparable. Switching symmetry classes at report compresses (primary to secondary) or inflates (secondary to primary) measured distance, with the compression and inflation equal in magnitude. The present research (a) extends these findings from overground locomotion to treadmill locomotion and (b) assesses a dynamics of sequentially coupled measure and report phases, with relative velocity as an order parameter, or equilibrium state, and difference in symmetry class as an imperfection parameter, or detuning, of those dynamics. The results suggest that the symmetries and dynamics of distance measurement by the human odometer are the same whether the odometer is in motion relative to a stationary ground or stationary relative to a moving ground.

Utilização de sensores de baixo custo na medição de monóxido de carbono no ar ambiente

Nos últimos anos tem-se assistido à introdução de novos dispositivos de medição da poluição do ar baseados na utilização de sensores de baixo custo. A utilização menos complexa destes sistemas, possibilita a obtenção de dados com elevada resolução temporal e espacial, abrindo novas oportunidades para diferentes metodologias de estudos de monitorização da poluição do ar. Apesar de apresentarem capacidades analíticas distantes dos métodos de referência, a utilização destes sensores tem sido sugerida e incentivada pela União Europeia no âmbito das medições indicativas previstas na Diretiva 2008/50/CE, com uma incerteza expandida máxima de 25%. O trabalho desenvolvido no âmbito da disciplina de Projeto consistiu na escolha, caracterização e utilização em medições reais de um sensor de qualidade do ar, integrado num equipamento protótipo desenvolvido com esse fim, visando obtenção uma estimativa da incerteza de medição associada à utilização deste dispositivo através da aplicação da metodologia de demonstração de equivalência de métodos de medição de qualidade do ar definida pela União Europeia. A pesquisa bibliográfica realizada permitiu constatar que o monóxido de carbono é neste momento o parâmetro de qualidade do ar que permite ser medido de forma mais exata através da utilização de sensores, nomeadamente o sensor eletroquímico da marca Alphasense, modelo COB4, amplamente utilizado em projetos de desenvolvimento neste cotexto de monitorização ambiental. O sensor foi integrado num sistema de medição com o objetivo de poder ser utlizado em condições de autonomia de fornecimento de energia elétrica, aquisição interna dos dados, tendo em consideração ser o mais pequeno possível e de baixo custo. Foi utlizado um sistema baseado na placa Arduino Uno com gravação de dados em cartão de memória SD, baterias e painel solar, permitindo para além do registo das tensões elétricas do sensor, a obtenção dos valores de temperatura, humidade relativa e pressão atmosférica, com um custo global a rondar os 300 euros. Numa primeira fase foram executados um conjunto de testes laboratoriais que permitiram a determinação de várias características de desempenho em dois sensores iguais: tempo de resposta, a equação modelo do sensor, avaliação da repetibilidade, desvio de curto e longo termo, interferência da temperatura e histerese. Os resultados demonstraram um comportamento dos sensores muito linear, com um tempo de resposta inferior a um minuto e com uma equação modelo do sensor dependente da variação da temperatura. A estimativa da incerteza expandida laboratorial ficou, para ambos os sensores, abaixo dos 10%. Após a realização de duas campanhas reais de medição de CO em que os valores foram muito baixos, foi realizada uma campanha de quinze dias num parque de estacionamento subterrâneo que permitiu a obtenção de concentrações suficientemente elevadas e a comparação dos resultados dos sensores com o método de referência em toda a gama de medição (0 a 12 mol.mol-1). Os valores de concentração obtidos pelos dois sensores demonstraram uma excelente correlação com o método de referência (r2≥0,998), obtendo-se resultados para a estimativa da incerteza expandida de campo inferiores aos obtidos para a incerteza laboratorial, cumprindo o objetivo de qualidade de dados definido para as medições indicativas de incerteza expandida máxima de 25%. Os resultados observados durante o trabalho realizado permitiram confirmar o bom desempenho que este tipo de sensor pode ter no âmbito de medições de poluição do ar com um caracter mais indicativo.

Algorithm for the Parkinson’s disease behavioural models characterization using a biosensor

Dissertação para obtenção do Grau de Mestre em Engenharia Biomédica

Parameter estimation in the presence of auxiliary information

Dissertação para obtenção do Grau de Doutora em Estatística e Gestão de Risco, Especialidade em Estatística