Analysis of nonlinear diffusion equations of second and fourth order

Wegen der fortschreitenden Miniaturisierung von Halbleiterbauteilen spielen Quanteneffekte eine immer wichtigere Rolle. Quantenphänomene werden gewöhnlich durch kinetische Gleichungen beschrieben, aber manchmal hat eine fluid-dynamische Beschreibung Vorteile: die bessere Nutzbarkeit für numerische Simulationen und die einfachere Vorgabe von Randbedingungen. In dieser Arbeit werden drei Diffusionsgleichungen zweiter und vierter Ordnung untersucht. Der erste Teil behandelt die implizite Zeitdiskretisierung und das Langzeitverhalten einer degenerierten Fokker-Planck-Gleichung. Der zweite Teil der Arbeit besteht aus der Untersuchung des viskosen Quantenhydrodynamischen Modells in einer Raumdimension und dessen Langzeitverhaltens. Im letzten Teil wird die Existenz von Lösungen einer parabolischen Gleichung vierter Ordnung in einer Raumdimension bewiesen, und deren Langzeitverhalten studiert.

Immediate and delayed transplantation of mesenchymal stem cells improve muscle force after skeletal muscle injury in rats

Mesenchymal stem cell (MSC) therapy is a promising approach for regaining muscle function after trauma. Prior to clinical application, the ideal time of transplantation has to be determined. We investigated the effects of immediate and delayed transplantation. Sprague-Dawley rats received a crush trauma to the left soleus muscle. Treatment groups were transplanted locally with 2 × 10(6) autologous MSCs, either immediately or 7 days after trauma. Saline was used as sham therapy. Contraction force tests and histological analyses were performed 4 weeks after injury. GFP-labelled MSCs were followed after transplantation. The traumatized soleus muscles of the sham group displayed a reduction of twitch forces to 36 ± 17% and of tetanic forces to 29 ± 11% of the non-injured right control side, respectively. Delayed MSC transplantation resulted in a significant improvement of contraction maxima in both stimulation modes (twitch, p = 0.011; tetany, p = 0.014). Immediate transplantation showed a significant increase in twitch forces to 59 ± 17% (p = 0.043). There was no significant difference in contraction forces between muscles treated by immediate and delayed cell transplantation. We were able to identify MSCs in the interstitium of the injured muscles up to 4 weeks after transplantation. Despite the fundamental differences of the local environment, which MSCs encounter after transplantation, similar results could be obtained with respect to functional muscle regeneration. We believe that transplanted MSCs residing in the interstitial compartment evolve their regenerative capabilities through paracrine pathways. Our data suggest a large time window of the therapeutical measures.

The influence of the valence of events on the intention superiority effect over the life-course

According to the intention superiority effect, people remember more future intentions than past events. Moreover, several studies have shown a facilitation of retrieving positive compared to negative or neutral events. The aim of the present study was to investigate the influence of age on the intention superiority effect for positive, negative and neutral events. We asked a group of young and a group of older adults to report their future intentions and their memories of past events from a specific time-window (i.e., day, week or year). Additionally, we prompted them to rate each intention/memory as positive, negative or neutral. The results showed more positive than negative or neutral future and past events in both age-groups and more negative events of young adults compared with reported negative events of older adults. Critically, there was an intention superiority effect for positive events in both age-groups, but only in the “year” time-window. These results suggest that the retrieval of positive future events is facilitated, at least for a large time-perspective, and independent of age-effects.

Cold Microwave-Enabled Protein Detection and Quantification.

Protein screening/detection is an essential tool in many laboratories. Owing to the relatively large time investments that are required by standard protocols, the development of methods with higher throughput while maintaining an at least comparable signal-to-noise ratio is highly beneficial in many research areas. This chapter describes how cold microwave technology can be used to enhance the rate of molecular interactions and provides protocols for dot blots, Western blots, and ELISA procedures permitting a completion of all incubation steps (blocking and antibody steps) within 24-45 min.

Surface deformation studies of Tenerife Island, Spain from joint GPS-DInSAR observations

This work presents results for the three-dimensional displacement field at Tenerife Island calculated from campaign GPS and ascending and descending ENVISAT DInSAR interferograms. The goal of this work is to provide an example of the flexibility of the technique by fusing together new varieties of geodetic data, and to observe surface deformations and study precursors of potential activity in volcanic regions. Interferometric processing of ENVISAT data was performed with GAMMA software. All possible combinations were used to create interferograms and then stacking was used to increase signal-to-noise ratio. Decorrelated areas were widely observed, particularly for interferograms with large perpendicular baseline and large time span. Tropospheric signal was also observed which significantly complicated the interpretation. Subsidence signal was observed in the NW part of the island and around Mount Teide and agreed in some regions with campaign GPS data. It is expected that the technique will provide better results when more high quality DInSAR and GPS data is available

Asymptotic Description of Flutter Amplitude Saturation by Nonlinear Friction Forces

The computation of the non-linear vibration dynamics of an aerodynamically unstable bladed-disk is a formidable numerical task, even for the simplified case of aerodynamic forces assumed to be linear. The nonlinear friction forces effectively couple dif- ferent travelling waves modes and, in order to properly elucidate the dynamics of the system, large time simulations are typically required to reach a final, saturated state. Despite of all the above complications, the output of the system (in the friction microslip regime) is basically a superposition of the linear aeroelastic un- stable travelling waves, which exhibit a slow time modulation that is much longer than the elastic oscillation period. This slow time modulation is due to both, the small aerodynamic effects and the small nonlinear friction forces, and it is crucial to deter- mine the final amplitude of the flutter vibration. In this presenta- tion we apply asymptotic techniques to obtain a new simplified model that captures the slow time dynamics of the amplitudes of the travelling waves. The resulting asymptotic model is very re- duced and extremely cheap to simulate, and it has the advantage that it gives precise information about the characteristics of the nonlinear friction models that actually play a role in the satura- tion of the vibration amplitude.

Asymptotic Description of Flutter Amplitude Saturation by Nonlinear Friction Forces

The computation of the non-linear vibration dynamics of an aerodynamically unstable bladed-disk is a formidable numerical task, even for the simplified case of aerodynamic forces assumed to be linear. The nonlinear friction forces effectively couple dif- ferent travelling waves modes and, in order to properly elucidate the dynamics of the system, large time simulations are typically required to reach a final, saturated state. Despite of all the above complications, the output of the system (in the friction microslip regime) is basically a superposition of the linear aeroelastic un- stable travelling waves, which exhibit a slow time modulation that is much longer than the elastic oscillation period. This slow time modulation is due to both, the small aerodynamic effects and the small nonlinear friction forces, and it is crucial to deter- mine the final amplitude of the flutter vibration. In this presenta- tion we apply asymptotic techniques to obtain a new simplified model that captures the slow time dynamics of the amplitudes of the travelling waves. The resulting asymptotic model is very re- duced and extremely cheap to simulate, and it has the advantage that it gives precise information about the characteristics of the nonlinear friction models that actually play a role in the satura- tion of the vibration amplitude.

Simulación de componentes no estacionarias de viento en orografías complejas

Realistic operation of helicopter flight simulators in complex topographies (such as urban environments) requires appropriate prediction of the incoming wind, and this prediction should be made in real time. Unfortunately, the wind topology around complex topographies shows time-dependent, fully nonlinear, turbulent patterns (i.e., wakes) whose simulation cannot be made using computationally inexpensive tools based on corrected potential approximations. Instead, the full Navier-Stokes plus some kind of turbulent modeling is necessary, which is quite computationally expensive. The complete unsteady flow depends on two parameters, namely the velocity and orientation of the free stream flow. The aim of this MSc thesis is to develop a methodology for the real time simulation of these complex flows. For simplicity, the flow around a single building (20 mx20 m cross section and 100 m height) is considered, with free stream velocity in the range 5-25 m/s. Because of the square cross section, the problem shows two reflection symmetries, which allows for restricting the orientations to the range 0° < a. < 45°. The methodology includes an offline preprocess and the online operation. The preprocess consists in three steps: An appropriate, unstructured mesh is selected in which the flow is sim¬ulated using OpenFOAM, and this is done for 33 combinations of 3 free stream intensities and 11 orientations. For each of these, the simulation proceeds for a sufficiently large time as to eliminate transients. This step is quite computationally expensive. Each flow field is post-processed using a combination of proper orthogonal decomposition, fast Fourier transform, and a convenient optimization tool, which identifies the relevant frequencies (namely, both the basic frequencies and their harmonics) and modes in the computational mesh. This combination includes several new ingredients to filter errors out and identify the relevant spatio-temporal patterns. Note that, in principle, the basic frequencies depend on both the intensity and the orientation of the free stream flow. The outcome of this step is a set of modes (vectors containing the three velocity components at all mesh points) for the various Fourier components, intensities, and orientations, which can be organized as a third order tensor. This step is fairly computationally inexpensive. The above mentioned tensor is treated using a combination of truncated high order singular value, decomposition and appropriate one-dimensional interpolation (as in Lorente, Velazquez, Vega, J. Aircraft, 45 (2008) 1779-1788). The outcome is a tensor representation of both the relevant fre¬quencies and the associated Fourier modes for a given pair of values of the free stream flow intensity and orientation. This step is fairly compu¬tationally inexpensive. The online, operation requires just reconstructing the time-dependent flow field from its Fourier representation, which is extremely computationally inex¬pensive. The whole method is quite robust.

Competitive exclusion in a two-especies chemotasis model

We consider a mathematical model for the spatio-temporal evolution of two biological species in a competitive situation. Besides diffusing, both species move toward higher concentrations of a chemical substance which is produced by themselves. The resulting system consists of two parabolic equations with Lotka–Volterra-type kinetic terms and chemotactic cross-diffusion, along with an elliptic equation describing the behavior of the chemical. We study the question in how far the phenomenon of competitive exclusion occurs in such a context. We identify parameter regimes for which indeed one of the species dies out asymptotically, whereas the other reaches its carrying capacity in the large time limit.

Evaluación experimental del dispositivo LRF HOKUYO URG-04LX-UG01

En robótica móvil existen diferentes dispositivos que permiten percibir la configuración del entorno. Pueden utilizarse alternativas de gran alcance como por ejemplo los ultrasonidos, pero que tienen la desventaja de consumir un tiempo elevado en la realización de las medidas. En corta distancia destacan los sensores basados en la emisión de luz infrarroja, que responden a muy alta velocidad pero tienen muy poco alcance. La obtención de fotografia, en incluso video, por medio de camaras, permite obtener mucha información del entorno, pero exige un procesado normalmente muy elaborado. Los “Laser Range Finder” son dispositivos basados en la emisión de un haz laser que responden a muy alta velocidad en el entorno de unos cuantos metros alrededor del robot móvil, lo que los hacen especialmente adecuados para un uso continuo que permita obtener de forma rapida un mapa de los obstaculos mas próximos. En el presente proyecto se va a realizar un ejercicio de medida con el laser range finder URG-04LX-UG01 para confirmar su utilidad en el ambito de la robótica móvil. ABSTRACT In mobile robotics there are different devices that allow sense the environment configuration. Powerful alternatives may be used as e.g. ultrasounds, but they have the disadvantage of consuming a large time to perform measurements. In short range highlights the infrared light based sensors, that responds at very high speed but have very low range. The photography obtaining, even video, by cameras, allow acquire many environmental information but normally require a very elaborate processing. The Laser Range Finder are devices based on laser beam broadcasting that respond a very high speed in the vicinity of a few meters around the mobile robot, which make them especially suitable for the continuous use, that allows fast obtain of the nearests obstacles map. In this project we are going to do an measurement exercise with laser range finder URG-04LX-UG01 to confirm its utility in mobile robotics scope.

On the geometry of solutions of the quasi-geostrophic and Euler equations

We study solutions of the two-dimensional quasi-geostrophic thermal active scalar equation involving simple hyperbolic saddles. There is a naturally associated notion of simple hyperbolic saddle breakdown. It is proved that such breakdown cannot occur in finite time. At large time, these solutions may grow at most at a quadruple-exponential rate. Analogous results hold for the incompressible three-dimensional Euler equation.

GTInspector: A Moldable Domain-Aware Object Inspector

Understanding the run-time behaviour of object-oriented applications entails the comprehension of run-time objects. Traditional object inspectors favor generic views that focus on the low-level details of the state of single objects. While universally applicable, this generic approach does not take into account the varying needs of developers that could benefit from tailored views and exploration possibilities. GTInspector is a novel moldable object inspector that provides different high-level ways to visualize and explore objects, adapted to both the object and the current developer need.

Economic Policy Voting and Incumbency: Unemployment in Western Europe

The economic voting literature has been dominated by the incumbency-oriented hypothesis, where voters reward or punish government at the ballot box according to economic performance. The alternative, policy-oriented hypothesis, where voters favor parties closest to their issue position, has been neglected in this literature. We explore policy voting with respect to an archetypal economic policy issue – unemployment. Voters who favor lower unemployment should tend to vote for left parties, since they “own” the issue. Examining a large time-series cross-sectional (TSCS) pool of Western European nations, we find some evidence for economic policy voting. However, it exists in a form conditioned by incumbency. According to varied tests, left incumbents actually experience a net electoral cost, if the unemployment rate climbs under their regime. Incumbency, then, serves to break any natural economic policy advantage that might accrue to the left due to the unemployment issue.

Macroeconomics, economic crisis and electoral outcomes: A national European pool

An abundance of comparative survey research argues the presence of economic voting as an individual force in European elections, thereby refuting a possible ecological fallacy. But the hypothesis of economic voting at the aggregate level, with macroeconomics influencing overall electoral outcomes, seems less sure. Indeed, there might be a micrological fallacy at work, with the supposed individual economic vote effect not adding up to a national electoral effect after all. Certainly that would account for the spotty evidence linking macroeconomics and national election outcomes. We examine the possibility of a micrological fallacy through rigorous analysis of a large time-series cross-sectional dataset of European nations. From these results, it becomes clear that the macroeconomy strongly moves national election outcomes, with hard times punishing governing parties, and good times rewarding them. Further, this economy-election connection appears asymmetric, altering under economic crisis. Indeed, we show that economic crisis, defined as negative growth, has much greater electoral effects than positive economic growth. Hard times clearly make governments more accountable to their electorates.

Synthetic ceramides induce growth arrest or apoptosis by altering cellular redox status

Reactive oxygen species (ROS) and ceramide are each partly responsible for the signal transduction of a variety of extracellular agents. Furthermore, the application of synthetic, short-chain ceramides mimics the cellular responses to these extracellular agents. However, the significance of ROS involvement in ceramide signaling pathways is poorly understood. Here we describe that the (cellular responses to C2-/C6-ceramide of growth arrest in U937 monocytes and apoptosis in Jurkat T-cells are preceded by a rise in mitochondrial peroxide production. In Jurkat T-cells, this is associated with a large time- and dose-dependent loss of cellular glutathione. However, in U937 monocytes, glutathione loss is transient. Differences in the magnitude and kinetics of this alteration in cellular redox state associate with discrete outcomes, namely growth arrest or apoptosis. © 2002 Elsevier Science (USA). All rights reserved.