Complex potentials and singular integral equation for curve crack problem in antiplane elasticity

Four types of the fundamental complex potential in antiplane elasticity are introduced: (a) a point dislocation, (b) a concentrated force, (c) a dislocation doublet and (d) a concentrated force doublet. It is proven that if the axis of the concentrated force doublet is perpendicular to the direction of the dislocation doublet, the relevant complex potentials are equivalent. Using the obtained complex potentials, a singular integral equation for the curve crack problem is introduced. Some particular features of the obtained singular integral equation are discussed, and numerical solutions and examples are given.

High resolution cortical bone thickness measurement from clinical CT data.

The distribution of cortical bone in the proximal femur is believed to be a critical component in determining fracture resistance. Current CT technology is limited in its ability to measure cortical thickness, especially in the sub-millimetre range which lies within the point spread function of today's clinical scanners. In this paper, we present a novel technique that is capable of producing unbiased thickness estimates down to 0.3mm. The technique relies on a mathematical model of the anatomy and the imaging system, which is fitted to the data at a large number of sites around the proximal femur, producing around 17,000 independent thickness estimates per specimen. In a series of experiments on 16 cadaveric femurs, estimation errors were measured as -0.01+/-0.58mm (mean+/-1std.dev.) for cortical thicknesses in the range 0.3-4mm. This compares with 0.25+/-0.69mm for simple thresholding and 0.90+/-0.92mm for a variant of the 50% relative threshold method. In the clinically relevant sub-millimetre range, thresholding increasingly fails to detect the cortex at all, whereas the new technique continues to perform well. The many cortical thickness estimates can be displayed as a colour map painted onto the femoral surface. Computation of the surfaces and colour maps is largely automatic, requiring around 15min on a modest laptop computer.

Large Eddy Simulation of Complex Turbulent Flows: Physical Aspects and Research Trends

In the current paper, we have primarily addressed one powerful simulation tool developed during the last decades-Large Eddy Simulation (LES), which is most suitable for unsteady three-dimensional complex turbulent flows in industry and natural environment. The main point in LES is that the large-scale motion is resolved while the small-scale motion is modeled or, in geophysical terminology, parameterized. With a view to devising a subgrid-scale(SGS) model of high quality, we have highlighted analyzing physical aspects in scale interaction and-energy transfer such as dissipation, backscatter, local and non-local interaction, anisotropy and resolution requirement. They are the factors responsible for where the advantages and disadvantages in existing SGS models come from. A case study on LES of turbulence in vegetative canopy is presented to illustrate that LES model is more based on physical arguments. Then, varieties of challenging complex turbulent flows in both industry and geophysical fields in the near future-are presented. In conclusion; we may say with confidence that new century shall see the flourish in the research of turbulence with the aid of LES combined with other approaches.

Copper homeostasis in Salmonella is atypical and copper-CueP is a major periplasmic metal complex.

Salmonella enterica sv. typhimurium (S. enterica sv. Typhimurium) has two metal-transporting P(1)-type ATPases whose actions largely overlap with respect to growth in elevated copper. Mutants lacking both ATPases over-accumulate copper relative to wild-type or either single mutant. Such duplication of ATPases is unusual in bacterial copper tolerance. Both ATPases are under the control of MerR family metal-responsive transcriptional activators. Analyses of periplasmic copper complexes identified copper-CueP as one of the predominant metal pools. Expression of cueP was recently shown to be controlled by the same metal-responsive activator as one of the P(1)-type ATPase genes (copA), and copper-CueP is a further atypical feature of copper homeostasis in S. enterica sv. Typhimurium. Elevated copper is detected by a reporter construct driven by the promoter of copA in wild-type S. enterica sv. Typhimurium during infection of macrophages. Double mutants missing both ATPases also show reduced survival inside cultured macrophages. It is hypothesized that elevated copper within macrophages may have selected for specialized copper-resistance systems in pathogenic microorganism such as S. enterica sv. Typhimurium.

Producción de biomasa y concentración de nutrientes en el pasto cubano (Pennisetum purpureum x P. tiphoides) CV CT - 115. Finca la Tigra, Cárdenas, Rivas, Nicaragua

Con el propósito de determinar la producción de la biomasa forrajera y la concentración de nutrientes del pasto cubano CT - 115, se realizó un estudio en la Finca la Tigra, Cárdenas, Rivas, para ello se utilizó un área de 48 m2, subdividida en tres parcelas de 16 m2, donde se realizaron cortes a los 15, 30, 45, 60 y 75 días. Se evaluaron las variables altura de la planta, producción de biomasa fresca y seca por hectárea, en cada muestreo se tomaron muestras de plantas de 1,000 g, las que fueron remitidas al laboratorio de suelo y planta de la UNA, donde se hicieron las determinaciones de contenido de materia seca, % de nitrógeno, % fósforo, % potasio, % calcio, % magnesio, hierro (ppm), manganeso (ppm) y zinc (ppm). Se realizarón análisis de correlación usando el programa SAS (Sistema de Análisis Estadístico) versión 9. para los elementos de la composición nutritiva de la planta y las variables rendimiento de biomasa y altura, a través del programa CVEXPT (Experto de Curvas) versión 1.4, se determinaron las curvas de mejor ajustes para dichas relaciones. Encontrándose que a medida que aumentaba la edad de corte, la producción de biomasa fresca y seca así como la altura tendían a incrementar, inversamente a ello los niveles de nutrientes en las plantas, las ecuaciones de mejor ajustes para la producción de biomasa fresca, seca y altura fueron el Lineal, Logístico y Rotacional, con r2 de 94, 98 y 99% respectivamente, para el caso de los nutrientes las ecuaciones de mejor ajuste fueron: los modelos de función Rotacional, Logístico, Polinomial y Harris también con r2 de 92 a 99%, evidenciándose con esto que las tendencias de los incrementos de la biomasa seca, altura, y la concentración de nutrientes no presentan comportamiento lineal. Únicamente para el caso de la biomasa fresca se presentó una tendencia lineal.

Productividad y concentración de nutrientes del Taiwán Cubano (Pennisetum purpureum X Pennisetum tiphoides), CT 115, en época lluviosa, 2010 en la Fincas Santa Rosa

Con el objetivo de evaluar la Productividad y concentración de nutrientes del pasto cubano (Pennisetum purpureum x Pennisetum typhoides) cv CT – 115, se llevó a cabo la presente investigación en la finca Santa Rosa propiedad de la Universidad Nacional Agraria (UNA) Managua, Nicaragua. Localizada geográficamente a los 12° 08´ 33"de latitud norte y, 86° 10´ 31" de longitud oeste (INETER, 2006). Para ello se utilizó un área total de 33 m2 la cual se subdividió en tres parcelas de 10 m2 cada una donde se realizaron cortes cada 15 días hasta llegar a los 75 días. Se evaluaron las variables : altura, (cm) biomasa fresca (kg ha-1), Materia Seca (%), Biomasa seca (kg ha-1), Nitrógeno (%), Fósforo (%), Potasio (%),Calcio (%), Magnesio (%), Hierro (ppm), Manganeso (ppm), Zinc (ppm). Para la determinación de la producción de biomasa verde y seca (kg ha-1), se utilizó la metodología propuesta por la Red Internacional de evaluación de Pasturas Tropicales (CIAT, 1982). Para determinar los parámetros MS (%) se utilizó la metodología del análisis de Weende o análisis proximal (AOAC. 1990). Para el análisis de correlación se utilizo el programa SAS VERSION 9 para cada uno de las variables evaluadas, para la determinación de las curvas de mejor ajuste se utilizó el programa CVXP32. Durante el ensayo no se aplico ningún tipo de tratamiento agronómico (fertilización, riego). Los resultados obtenidos fueron: Altura 220 cm Biomasa fresca 31,764 kg ha-1 Materia seca 24% Biomasa seca 7529 kg ha-1. Las mayores concentraciones de nutrientes en la planta fueron: N 3.21% P 0.38% K 4.94% Ca 0.24% Mg 0.18% Fe 105.0ppm Mn 53.33ppm Zn 50ppm. Los modelos de mejor ajuste son: Modelo Múltiple Multiplicativo, Modelo Richards, Modelo Harris, Función Rotacional, Tercer Grado Polinomial y Asociación Exponencial.

Enhanced 10-Gbit/s link performance for directly Modulated complex-coupled DFB lasers via resonance frequency, damping rate, and chirp

This paper demonstrates the respective roles that combined index- and gain-coupling play in the overall link performance of distributed feedback (DFB) lasers. Their impacts on both static and dynamic properties such as slope efficiency, resonance frequency, damping rate, and chirp are investigated. Simulation results are compared with experimental data with good agreement. Transmission-oriented optimization is then demonstrated based on a targeted specification. The design tradeoffs are revealed, and it is shown that a modest combination of index- and gain-coupling enables optimum transmission at 10 Gbit/s.

Multiscale Coupling in Complex Mechanical Systems

Multiscale coupling attracts broad interests from mechanics, physics and chemistry to biology. The diversity and coupling of physics at different scales are two essential features of multiscale problems in far-from-equilibrium systems. The two features present fundamental difficulties and are great challenges to multiscale modeling and simulation. The theory of dynamical system and statistical mechanics provide fundamental tools for the multiscale coupling problems. The paper presents some closed multiscale formulations, e.g., the mapping closure approximation, multiscale large-eddy simulation and statistical mesoscopic damage mechanics, for two typical multiscale coupling problems in mechanics, that is, turbulence in fluids and failure in solids. It is pointed that developing a tractable, closed nonequilibrium statistical theory may be an effective approach to deal with the multiscale coupling problems. Some common characteristics of the statistical theory are discussed.

Pattern Recognition With Weighted Complex Networks

In this paper we introduce a weighted complex networks model to investigate and recognize structures of patterns. The regular treating in pattern recognition models is to describe each pattern as a high-dimensional vector which however is insufficient to express the structural information. Thus, a number of methods are developed to extract the structural information, such as different feature extraction algorithms used in pre-processing steps, or the local receptive fields in convolutional networks. In our model, each pattern is attributed to a weighted complex network, whose topology represents the structure of that pattern. Based upon the training samples, we get several prototypal complex networks which could stand for the general structural characteristics of patterns in different categories. We use these prototypal networks to recognize the unknown patterns. It is an attempt to use complex networks in pattern recognition, and our result shows the potential for real-world pattern recognition. A spatial parameter is introduced to get the optimal recognition accuracy, and it remains constant insensitive to the amount of training samples. We have discussed the interesting properties of the prototypal networks. An approximate linear relation is found between the strength and color of vertexes, in which we could compare the structural difference between each category. We have visualized these prototypal networks to show that their topology indeed represents the common characteristics of patterns. We have also shown that the asymmetric strength distribution in these prototypal networks brings high robustness for recognition. Our study may cast a light on understanding the mechanism of the biologic neuronal systems in object recognition as well.