On the numerical integration of rigid body nonlinear dynamics in presence of parameters singularities

One of the main complexities in the simulation of the nonlinear dynamics of rigid bodies consists in describing properly the finite rotations that they may undergo. It is well known that, to avoid singularities in the representation of the SO(3) rotation group, at least four parameters must be used. However, it is computationally expensive to use a four-parameters representation since, as only three of the parameters are independent, one needs to introduce constraint equations in the model, leading to differential-algebraic equations instead of ordinary differential ones. Three-parameter representations are numerically more efficient. Therefore, the objective of this paper is to evaluate numerically the influence of the parametrization and its singularities on the simulation of the dynamics of a rigid body. This is done through the analysis of a heavy top with a fixed point, using two three-parameter systems, Euler's angles and rotation vector. Theoretical results were used to guide the numerical simulation and to assure that all possible cases were analyzed. The two parametrizations were compared using several integrators. The results show that Euler's angles lead to faster integration compared to the rotation vector. An Euler's angles singular case, where representation approaches a theoretical singular point, was analyzed in detail. It is shown that on the contrary of what may be expected, 1) the numerical integration is very efficient, even more than for any other case, and 2) in spite of the uncertainty on the Euler's angles themselves, the body motion is well represented.

Production of recombinant antigens in plants for animal and human immunization - a review

Plants present a cost effective production system for high value proteins. There is an increasing world demand for cheap vaccines that can be readily administered to the population, especially in economically less developed regions. A promising concept is the production of vaccines in plants that could be grown locally. Expression of antigenic peptides in the palatable parts of plants can lead to the production of edible active vaccines. Two major strategies are: i) to express antigens in transgenic plants, and ii) to produce antigenic peptides on the surface of plant viruses that could be used to infect host plants. This review considers the experimental data and early results for both strategies, and discusses the potential and problems of this new technology

Marolo (Annona crassiflora Mart.): a study of value chain and processing

This article aims to discuss the needs and problems of marolo value chain, as well as to evaluate the rehydration process of this fruit as a possibility of using it as a by-product during the interharvest growth periods. The study of the value chain included interviews with producers, handlers, and fruit and by-product sellers. In order to evaluate the rehydration process of this fruit, marolo was dehydrated using a conventional procedure and freeze-drying. The experiments were conducted in a completely randomized design and a triple factorial scheme (2 × 2 × 6). ANOVA was performed, followed by the Tukey's test (p < 0.05). Regression models were generated and adjusted for the time factor. The precariousness of the value chain of marolo was observed. The best procedure for marolo dehydration should be determined according to the intended use of the dehydrated product since the water-absorption capacity of the flour is higher and convective hot-air-drying is more effective in retaining soluble solids and reducing damage to the fruit. These results aim at contributing to the marolo value chain and to the preservation of native trees in the Brazilian savanna biome and can be used to analyze other underutilized crops.

Cooperation, social capital and economic performance

The objective of this paper is to define social capital as social infrastructure and to try to include this variable in an economic growth model. Considering social capital in such a way could have an impact on the productivity of production factors. Firstly, I will discuss how institutional variables can affect growth. Secondly, after analyzing several definitions of social capital, I will point out the benefits and problems of each one and will define social capital as social infrastructure, aiming to introduce this variable into an economic growth model. Finally, I will try to open the way for subsequent empirical studies, both in the area of measuring the stock of social infrastructure as well as those comparing economies, with the idea of showing the impact of social infrastructure on economic growth.

The grab of the world's land and water resources

In this paper, I review recent developments in global political economy and political economy of development that have captured inter alia the attention of agrarian political economists. I do so through the periscope of two recent publications by Fred pearce, Great Britain's leading eco journalist and an edited volume by Tony Allann, Martin Keulertz, Suvi Sojamo and Jeroen Warner, scholars trained in different disciplines and based at various universities in the UK, the netherlands, and Finland. The account of the pace, places, and perpetrators, procedures, and problems of this particular agrarian model provides fodder for the further development of a locus classicus on what is happening to the land question in this current moment under the capitalist order, a shorthand for which is 'water and land grab'.