Dichtefunktionaltheorie für eine Flüssigkeit harter Scheiben auf Grafikkarten

Zweidimensionale Flüssigkeiten harter Scheiben sind in der Regel einfach zu simulieren, jedoch überraschend schwer theoretisch zu beschreiben. Trotz ihrer hohen Relevanz bleiben die meisten theoretischen Ansätze qualitativ. Hier wird eine Dichtefunktionaltheorie (DFT) vorgestellt, die erstmalig die Struktur solcher Flüssigkeiten bei hohen Dichten korrekt beschreibt und den Ansatz des Gefrierübergangs abbildet.rnEs wird gezeigt, dass der Ansatz der Fundamentalmaßtheorie zu einem solchen Funktional führt. Dabei werden sowohl Dichteverteilungen um ein Testteilchen als auch Zweiteilchen-Korrelationsfunktionen untersucht.rnGrafikkarten bieten sehr hohe Recheneffizienz und ihr Einsatz in der Wissenschaft nimmt stetig zu. In dieser Arbeit werden die Vor- und Nachteile der Grafikkarte für wissenschaftliche Berechnungen erörtert und es wird gezeigt, dass die Berechnung der DFT auf Grafikkarten effizient ausgeführt werden kann. Es wird ein Programm entwickelt, dass dies umsetzt. Dabei wird gezeigt, dass die Ergebnisse einfacher (bekannter) Funktionale mit denen von CPU-Berechnungen übereinstimmen, so dass durch die Nutzung der Grafikkarte keine systematischen Fehler zu erwarten sind.

Quantum Einstein gravity - advancements of heat kernel-based renormalization group studies

The asymptotic safety scenario allows to define a consistent theory of quantized gravity within the framework of quantum field theory. The central conjecture of this scenario is the existence of a non-Gaussian fixed point of the theory's renormalization group flow, that allows to formulate renormalization conditions that render the theory fully predictive. Investigations of this possibility use an exact functional renormalization group equation as a primary non-perturbative tool. This equation implements Wilsonian renormalization group transformations, and is demonstrated to represent a reformulation of the functional integral approach to quantum field theory.rnAs its main result, this thesis develops an algebraic algorithm which allows to systematically construct the renormalization group flow of gauge theories as well as gravity in arbitrary expansion schemes. In particular, it uses off-diagonal heat kernel techniques to efficiently handle the non-minimal differential operators which appear due to gauge symmetries. The central virtue of the algorithm is that no additional simplifications need to be employed, opening the possibility for more systematic investigations of the emergence of non-perturbative phenomena. As a by-product several novel results on the heat kernel expansion of the Laplace operator acting on general gauge bundles are obtained.rnThe constructed algorithm is used to re-derive the renormalization group flow of gravity in the Einstein-Hilbert truncation, showing the manifest background independence of the results. The well-studied Einstein-Hilbert case is further advanced by taking the effect of a running ghost field renormalization on the gravitational coupling constants into account. A detailed numerical analysis reveals a further stabilization of the found non-Gaussian fixed point.rnFinally, the proposed algorithm is applied to the case of higher derivative gravity including all curvature squared interactions. This establishes an improvement of existing computations, taking the independent running of the Euler topological term into account. Known perturbative results are reproduced in this case from the renormalization group equation, identifying however a unique non-Gaussian fixed point.rn

Packing a trunk : a physically based approach with full motional freedom

Geometric packing problems may be formulated mathematically as constrained optimization problems. But finding a good solution is a challenging task. The more complicated the geometry of the container or the objects to be packed, the more complex the non-penetration constraints become. In this work we propose the use of a physics engine that simulates a system of colliding rigid bodies. It is a tool to resolve interpenetration conflicts and to optimize configurations locally. We develop an efficient and easy-to-implement physics engine that is specialized for collision detection and contact handling. In succession of the development of this engine a number of novel algorithms for distance calculation and intersection volume were designed and imple- mented, which are presented in this work. They are highly specialized to pro- vide fast responses for cuboids and triangles as input geometry whereas the concepts they are based on can easily be extended to other convex shapes. Especially noteworthy in this context is our ε-distance algorithm - a novel application that is not only very robust and fast but also compact in its im- plementation. Several state-of-the-art third party implementations are being presented and we show that our implementations beat them in runtime and robustness. The packing algorithm that lies on top of the physics engine is a Monte Carlo based approach implemented for packing cuboids into a container described by a triangle soup. We give an implementation for the SAE J1100 variant of the trunk packing problem. We compare this implementation to several established approaches and we show that it gives better results in faster time than these existing implementations.

Synthese von polymergebundenen Sialyl-Lewis x-Strukturen und deren Mimetika als Zelladhäsionsinhibitoren für E-, L- und P-Selektin

Kohlenhydrate dienen nicht nur der Ernährung oder der Stabilisierung von Zellwänden, sondern sie sind auch von essentieller Bedeutung für Zell-Zell-Wechselwirkungen im Organismus. Damit sind sie von besonderem Interesse für die Behandlung von Entzündungen sowie tumorösen Erkrankungen, die auf Wechselwirkungen zwischen bestimmten Kohlenhydraten und Rezeptoren, Selektine genannt, basieren. Die vorliegende Dissertation mit dem Titel „Synthese von polymergebundenen Sialyl-Lewis x-Strukturen und deren Mimetika als Zelladhäsionsinhibitoren für E-, L- und P-Selektin“ befasst sich mit der Synthese und der Modifizierung des natürlich vorkommenden Selektin-Liganden Sialyl-Lewisx und seinen potentiell mimetischen Strukturen auf Basis von Gemischen der an der Bindung beteiligten Kohlenhydrate sowie von sulfatierten Einheiten. Um im Organismus eine verstärkte Bindung an die zu adressierenden Rezeptoren und eine erhöhte Zirkulationsdauer zu erreichen, wurden die geeignet funktionalisierten Liganden mittels reaktiver Polymere auf Basis von Pentafluorphenyl-Reaktivestern im Rahmen einer polymeranalogen Umsetzung an ein definiertes Methacrylamid-Polymer gebunden.Um die biologische Wirksamkeit der synthetisierten Polymere zu überprüfen, wurden Oberflächenplasmonenresonanz-Messungen (SPR-Messungen) durchgeführt. Dabei zeigte sich bei den verschiedenen Selektinen eine unterschiedlich hohe Affinität der Sialyl-Lewis x sowie der mimetischen Polymere. Es konnten bei E-Selektin die geringsten, bei L-Selektin mittlere und bei P-Selektin die höchsten Affinitäten im unteren nanomolaren Bereich festgestellt werden.

Stacked searches for high-energy neutrinos from blazars with IceCube

In the year 2013, the detection of a diffuse astrophysical neutrino flux with the IceCube neutrino telescope – constructed at the geographic South Pole – was announced by the IceCube collaboration. However, the origin of these neutrinos is still unknown as no sources have been identified to this day. Promising neutrino source candidates are blazars, which are a subclass of active galactic nuclei with radio jets pointing towards the Earth. In this thesis, the neutrino flux from blazars is tested with a maximum likelihood stacking approach, analyzing the combined emission from uniform groups of objects. The stacking enhances the sensitivity w.r.t. the still unsuccessful single source searches. The analysis utilizes four years of IceCube data including one year from the completed detector. As all results presented in this work are compatible with background, upper limits on the neutrino flux are given. It is shown that, under certain conditions, some hadronic blazar models can be challenged or even rejected. Moreover, the sensitivity of this analysis – and any other future IceCube point source search – was enhanced by the development of a new angular reconstruction method. It is based on a detailed simulation of the photon propagation in the Antarctic ice. The median resolution for muon tracks, induced by high-energy neutrinos, is improved for all neutrino energies above IceCube’s lower threshold at 0.1TeV. By reprocessing the detector data and simulation from the year 2010, it is shown that the new method improves IceCube’s discovery potential by 20% to 30% depending on the declination.

Gamification

Nowadays games are so popular that they have become an important part of our lives. Inspired by the motivational properties of games, some scholars made the proposal of applying game mechanics and elements into other fields thus emerged the concept of “Gamification”, along with various other popular concepts for the realization of the application. The effectiveness of gamification in improving user engagement and changing behaviors is demonstrated not only in theory but also in practice. This thesis aims to introduce the related concepts of gamification and the gamification design framework. In addition, this thesis introduces also the concept of MOOCs and the challenges faced by MOOCs platforms. Some of those challenges such as high dropout rate and low participation rate could be solved by gamification. Through creating a more interesting game experience and consequently fostering user motivation, high engagement will be ensured. Following this logic, this thesis explores how to use gamification on MOOCs platform to improve user engagement and the corresponding impacts. Despite of the lack of a quantitative analysis of the effects of gamification on MOOCs platform, the facts found and observed in this thesis support the effectiveness of gamification in improving user engagement on MOOCs platforms.

Sciatic neuropathy after body contouring surgery in massive weight loss patients

To date, obesity affects a substantial population in industrialised countries. Due to the increased awareness of obesity-related morbidity, efficient dietary regimens and the recent successes with bariatric surgery, there is now a high demand for body contouring surgery to correct skin abundancies after massive weight loss. The known risks for this type of surgery are mainly wound-healing complications, and, more rarely, thromboembolic or respiratory complications. We present two female patients (23 and 39 years of age) who, in spite of standard positioning and precautions, developed sciatic neuropathy after combined body contouring procedures, including abdominoplasty and inner thigh lift. Complete functional loss of the sciatic nerve was found by clinical and electroneurographic examination on the left side in patient one and bilaterally in patient two. Full nerve conductance recovery was obtained after 6 months in both patients. Although the occurrence of spontaneous neuropathies after heavy weight loss is well documented, this is the first report describing the appearance of such a phenomenon following body contouring surgery. One theoretical explanation may be the compression of the nerve during the semirecumbent positioning combined with hip flexion and abduction, which was required for abdominal closure and simultaneous access to the inner thighs. We advise to avoid this positioning and to include the risk of sciatic neuropathy in the routine preoperative information of patients scheduled for body contouring surgery after heavy weight loss.

A method to measure the distribution of latencies of motor evoked potentials in man

To measure the intra-individual distribution of the latencies of motor evoked potentials (MepL) using transcranial magnetic stimulation.

Genome-wide meta-analysis increases to 71 the number of confirmed Crohn's disease susceptibility loci

We undertook a meta-analysis of six Crohn's disease genome-wide association studies (GWAS) comprising 6,333 affected individuals (cases) and 15,056 controls and followed up the top association signals in 15,694 cases, 14,026 controls and 414 parent-offspring trios. We identified 30 new susceptibility loci meeting genome-wide significance (P < 5 × 10 ? ? ). A series of in silico analyses highlighted particular genes within these loci and, together with manual curation, implicated functionally interesting candidate genes including SMAD3, ERAP2, IL10, IL2RA, TYK2, FUT2, DNMT3A, DENND1B, BACH2 and TAGAP. Combined with previously confirmed loci, these results identify 71 distinct loci with genome-wide significant evidence for association with Crohn's disease.