Modelica软件中微分代数方程指标约简算法分析

Modelica建模软件会产生高指标的微分代数方程(DAE),因为现有数值求解器一般不能直接对高指标DAE进行求解,所以Modelica建模软件必须对高指标DAE进行指标约简。为提高Modelica建模软件性能,针对现有指标约简算法,展开了理论分析和实验比较,着重对负权二部图算法进行了详细分析,并给出了负权二部图算法的时间复杂度。理论分析和实验结果表明,负权二部图算法相对Pantelides算法有较好的性能,因此可以考虑在Modelica建模软件中使用负权二部图算法来提高性能。

Propiedades Ópticas de los Materiales Activos en Diodos Láser con Confinamiento Cuántico

En esta tesis se recoge el trabajo experimental realizado para la caracterización de las propiedades ópticas en diodos láser construidos con estructuras basadas en pozos cuánticos (QW) y puntos cuánticos (QD). Las propiedades que se han estudiado en estos dispositivos son los espectros de ganancia, ganancia diferencial, índice diferencial y factor de ensanchamiento de línea (LEF). La comprensión de estas propiedades es de especial importancia para el diseño de nuevos diodos láser destinados a ser utilizados en aplicaciones exigentes como son las comunicaciones ópticas o aplicaciones médicas. El estudio se ha llevado a cabo en muestras de diodos láser suministrados por diferentes fabricantes: Ferdinand Braun Institut für Hóchstfrequenztechnik, Thales Research and Technology y la Universidad de Würzburg. Debido a esto las muestras de los láseres se han suministrado en diferentes configuraciones, utilizándose tanto dispositivos con cavidades de área ancha como de tipo caballete (“ridge”). En los trabajos se ha realizado el diseño y la construcción de los montajes experimentales y la implementación de los métodos analíticos necesarios para el estudio de las diferentes muestras. En los montajes experimentales se han implementado procesos para el filtrado espacial de los modos laterales de la cavidad presentes en los láseres de área ancha. Los métodos analíticos implementados se han utilizado para reducir los errores existentes en los sistemas de medida, mejorar su precisión y para separar la variación de índice en debida al calentamiento y la variación de corriente cuando los láseres operan en continua. El estudio sistemático de las propiedades de ópticas de los diodos láser basados en QW y QD ha permitido concluir que propiedades como el factor de ensanchamiento de línea no tienen por qué ser necesariamente inferiores en estos últimos, ya que dependen de las condiciones de inyección. En los láseres de QW se ha observado experimentalmente una reducción del factor de ensanchamiento de línea al alcanzarse la segunda transición, debido al aumento de la ganancia diferencial. ABSTRACT This thesis includes the experimental work for the characterization of optical properties of quantum well (QW) and quantum dot (QD) laser diodes. The properties that have been studied in these devices are the gain, differential gain, differential index and the linewith enhancement factor (LEF). The understating of these properties is of special importance for the design of new laser diodes to be used in exigent applications such as optical communications or medical applications. The study has been carried out using laser samples supplied by different manufacturers: Ferdinand Braun Institut fu¨r H¨ochstfrequenztechnik, Thales Research and Technology and the University of Wu¨rzburg. Because of this the laser samples were supplied in various configurations, using both broad area and ridge devices. In the work it has been done the design and construction of the experimental setups and implementation of analytical methods required for the study of the different devices. In the experimental set-ups it has been implemented a spatial filtering process to remove the lateral modes present in broad area lasers. The implemented analytical methods has been used to reduce the experimental errors in the measurement systems, improve the accuracy and separate the index variation caused by heating and current variation when the lasers operated on continuous wave. The systematic study of the optical properties of the QW and QD laser diodes has allowed concluding that properties such the linewith enhancement factor does not have to be necessary to be lower in the QD devices, since it is dependent on the injections conditions. In this work it has been experimentally observed a reduction of the linewith enhancement factor where the second transition has been reached mainly due to in the increased of the differential gain which is observed in this situation.

INDEX OF AN IMPLICIT DIFFERENTIAL EQUATION

In this paper we introduce the concept of the index of an implicit differential equation F(x,y,p) = 0, where F is a smooth function, p = dy/dx, F(p) = 0 and F(pp) = 0 at an isolated singular point. We also apply the results to study the geometry of surfaces in R(5).

Consumption of a low glycaemic index diet in late life extends lifespan of Balb/c mice with differential effects on DNA damage

Background : Caloric restriction is known to extend the lifespan of all organisms in which it has been tested. Consequently, current research is investigating the role of various foods to improve health and lifespan. The role of various diets has received less attention however, and in some cases may have more capacity to improve health and longevity than specific foods alone. We examined the benefits to longevity of a low glycaemic index (GI) diet in aged Balb/c mice and examined markers of oxidative stress and subsequent effects on telomere dynamics.

Results : In an aged population of mice, a low GI diet extended average lifespan by 12%, improved glucose tolerance and had impressive effects on amelioration of oxidative damage to DNA in white blood cells. Telomere length in quadriceps muscle showed no improvement in the dieted group, nor was telomerase reactivated.

Conclusion : The beneficial effects of a low GI diet are evident from the current study and although the impact to telomere dynamics late in life is minimal, we expect that earlier intervention with a low GI diet would provide significant improvement in health and longevity with associated effects to telomere homeostasis.

High body mass index is not a barrier to physical activity: Analysis of international rugby players' anthropometric data

Recent data indicate that levels of overweight and obesity are increasing at an alarming rate throughout the world. At a population level (and commonly to assess individual health risk), the prevalence of overweight and obesity is calculated using cut-offs of the Body Mass Index (BMI) derived from height and weight. Similarly, the BMI is also used to classify individuals and to provide a notional indication of potential health risk. It is likely that epidemiologic surveys that are reliant on BMI as a measure of adiposity will overestimate the number of individuals in the overweight (and slightly obese) categories. This tendency to misclassify individuals may be more pronounced in athletic populations or groups in which the proportion of more active individuals is higher. This differential is most pronounced in sports where it is advantageous to have a high BMI (but not necessarily high fatness). To illustrate this point we calculated the BMIs of international professional rugby players from the four teams involved in the semi-finals of the 2003 Rugby Union World Cup. According to the World Health Organisation (WHO) cut-offs for BMI, approximately 65% of the players were classified as overweight and approximately 25% as obese. These findings demonstrate that a high BMI is commonplace (and a potentially desirable attribute for sport performance) in professional rugby players. An unanswered question is what proportion of the wider population, classified as overweight (or obese) according to the BMI, is misclassified according to both fatness and health risk? It is evident that being overweight should not be an obstacle to a physically active lifestyle. Similarly, a reliance on BMI alone may misclassify a number of individuals who might otherwise have been automatically considered fat and/or unfit.

High and low mammographic density human breast tissues maintain histological differential in murine tissue engineering chambers

Mammographic density (MD) is the area of breast tissue that appears radiologically white on mammography. Although high MD is a strong risk factor for breast cancer, independent of BRCA1/2 mutation status, the molecular basis of high MD and its associated breast cancer risk is poorly understood. MD studies will benefit from an animal model, where hormonal, gene and drug perturbations on MD can be measured in a preclinical context. High and low MD tissues were selectively sampled by stereotactic biopsy from operative specimens of high-risk women undergoing prophylactic mastectomy. The high and low MD tissues were transferred into separate vascularised biochambers in the groins of SCID mice. Chamber material was harvested after 6 weeks for histological analyses and immunohistochemistry for cytokeratins, vimentin and a human-specific mitochondrial antigen. Within-individual analysis was performed in replicate mice, eliminating confounding by age, body mass index and process-related factors, and comparisons were made to the parental human tissue. Maintenance of differential MD post-propagation was assessed radiographically. Immunohistochemical staining confirmed the preservation of human glandular and stromal components in the murine biochambers, with maintenance of radiographic MD differential. Propagated high MD regions had higher stromal (p = 0.0002) and lower adipose (p = 0.0006) composition, reflecting the findings in the original human breast tissue, although glands appeared small and non-complex in both high and low MD groups. No significant differences were observed in glandular area (p = 0.4) or count (p = 0.4) between high and low MD biochamber tissues. Human mammary glandular and stromal tissues were viably maintained in murine biochambers, with preservation of differential radiographic density and histological features. Our study provides a murine model for future studies into the biomolecular basis of MD as a risk factor for breast cancer.

The use of a Riesz fractional differential-based approach for texture enhancement in image processing

Texture enhancement is an important component of image processing that finds extensive application in science and engineering. The quality of medical images, quantified using the imaging texture, plays a significant role in the routine diagnosis performed by medical practitioners. Most image texture enhancement is performed using classical integral order differential mask operators. Recently, first order fractional differential operators were used to enhance images. Experimentation with these methods led to the conclusion that fractional differential operators not only maintain the low frequency contour features in the smooth areas of the image, but they also nonlinearly enhance edges and textures corresponding to high frequency image components. However, whilst these methods perform well in particular cases, they are not routinely useful across all applications. To this end, we apply the second order Riesz fractional differential operator to improve upon existing approaches of texture enhancement. Compared with the classical integral order differential mask operators and other first order fractional differential operators, we find that our new algorithms provide higher signal to noise values and superior image quality.

The alpha method for solving differential algebraic inequality (DAI) systems

This paper describes an algorithm for ``direct numerical integration'' of the initial value Differential-Algebraic Inequalities (DAI) in a time stepping fashion using a sequential quadratic programming (SQP) method solver for detecting and satisfying active path constraints at each time step. The activation of a path constraint generally increases the condition number of the active discretized differential algebraic equation's (DAE) Jacobian and this difficulty is addressed by a regularization property of the alpha method. The algorithm is locally stable when index 1 and index 2 active path constraints and bounds are active. Subject to available regularization it is seen to be stable for active index 3 active path constraints in the numerical examples. For the high index active path constraints, the algorithm uses a user-selectable parameter to perturb the smaller singular values of the Jacobian with a view to reducing the condition number so that the simulation can proceed. The algorithm can be used as a relatively cheaper estimation tool for trajectory and control planning and in the context of model predictive control solutions. It can also be used to generate initial guess values of optimization variables used as input to inequality path constrained dynamic optimization problems. The method is illustrated with examples from space vehicle trajectory and robot path planning.

Evolution of Nanocrystalline Ba2NaNb5O15 in 2BaO-0.5Na(2)O-2.5Nb(2)O(5)-4.5B(2)O(3) Glass System and Its Refractive Index and Band Gap Tunability

Monophasic Ba2NaNb5O15 was crystallized at nanometer scale (12-36 nm) in 2BaO-0.5Na(2)O-2.5Nb(2)O(5)- 4.5B(2)O(3) glass system. To begin with, optically transparent glasses, in this system, were fabricated via the conventional melt. quenching technique. The amorphous and glassy characteristics of the as-quenched samples were respectively confirmed by X-ray powder diffraction and differential thermal analyses. Nearly homogeneous distribution of Ba2NaNb5O15 (BNN) nanocrystals associated with tungsten bronze structure akin to their bulk parent structure was accomplished by subjecting the as-fabricated glasses to appropriate heat-treatment temperatures. Indeed transmission electron microscopy (TEM) carried out on these samples corroborated the presence of Ba2NaNb5O15 nanocrystals dispersed in a continuous glass matrix. The as-quenched glasses were similar to 75% transparent in the visible range of the electromagnetic spectrum. The optical band gap and refractive index were found to have crystallite size (at nanoscale) dependence. The optical band gap increased with the decrease in crystallite size. The refractive indices of the glass nanocrystal composites as determined by Brewster angle method were rationalized using different empirical models. The refractive index dispersion with wavelength of light was analyzed on the basis of the Sellmeier relations. At room temperature under UV excitation (355 nm) these glass nanocrystal composites displayed violet-blue emission which was ascribed to the defects states.