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We investigate transport measurements on all II-VI semiconductor resonant tunneling diodes (RTDs). Being very versatile, the dilute magnetic semiconductor (DMS) system (Zn,Be,Mn,Cd)Se is a perfect testbed for various spintronic device designs, as it allows for separate control of electrical and magnetic properties. In contrast to the ferromagnetic semiconductor (Ga,Mn)As, doping ZnSe with Mn impurities does not alter the electrical properties of the semiconductor, as the magnetic dopant is isoelectric in the ZnSe host.
Practical optimization problems often comprise several incomparable and conflicting objectives. When booking a trip using several means of transport, for instance, it should be fast and at the same time not too expensive. The first part of this thesis is concerned with the algorithmic solvability of such multiobjective optimization problems. Several solution notions are discussed and compared with respect to their difficulty. Interestingly, these solution notions are always equally difficulty for a single-objective problem and they differ considerably already for two objectives (unless P = NP). In this context, the difference between search and decision problems is also investigated in general. Furthermore, new and improved approximation algorithms for several variants of the traveling salesperson problem are presented. Using tools from discrepancy theory, a general technique is developed that helps to avoid an obstacle that is often hindering in multiobjective approximation: The problem of combining two solutions such that the new solution is balanced in all objectives and also mostly retains the structure of the original solutions. The second part of this thesis is dedicated to several aspects of systems of equations for (formal) languages. Firstly, conjunctive and Boolean grammars are studied, which are extensions of context-free grammars by explicit intersection and complementation operations, respectively. Among other results, it is shown that one can considerably restrict the union operation on conjunctive grammars without changing the generated language. Secondly, certain circuits are investigated whose gates do not compute Boolean values but sets of natural numbers. For these circuits, the equivalence problem is studied, i.\,e.\ the problem of deciding whether two given circuits compute the same set or not. It is shown that, depending on the allowed types of gates, this problem is complete for several different complexity classes and can thus be seen as a parametrized) representative for all those classes.
In this study I investigate the role of Schwann cell and axon-derived trophic signals as modifiers of axonal integrity and sprouting in motoneuron disease and diabetic neuropathy (DNP). The first part of this thesis focuses on the role of the Schwann-cell-derived ciliary neurotrophic factor (CNTF) for compensatory sprouting in a mouse model for mild spinal muscular atrophy (SMA). In the second part, the role of the insulin-like growth factor 1 (IGF-1) and its binding protein 5 (IGFBP-5) is examined in the peripheral nerves of patients with DNP and in two corresponding mouse models. Proximal SMA is caused by homozygous loss or mutation of the SMN1 gene on human chromosome 5. The different forms of SMA can be divided into four groups, depending on the levels of SMN protein produced from a second SMN gene (SMN2) and the severity of the disease. Patients with milder forms of the disease, type III and type IV SMA, normally reach adulthood and regularly show enlargement of motor units, signifying the reinnervation of denervated muscle fibers. However, the underlying mechanisms are not understood. Smn+/- mice, a model of type III/IV SMA, are phenotypically normal, but they reveal progressive loss of motor neurons and denervation of motor endplates starting at 4 weeks of age. The progressive loss of spinal motor neurons reaches 50% at 12 months but muscle strength is not reduced. The first evidence for axonal sprouting as a compensatory mechanism in these animals was the more than 2-fold increase in amplitude of single motor unit action potentials (SMUAP) in the gastrocnemius muscle. Confocal analysis confirmed pronounced sprouting of innervating motor axons. As CNTF is highly expressed in Schwann cells and known to be involved in sprouting, its role for this compensatory sprouting response and the maintenance of muscle strength in Smn+/- mice was investigated. Deletion of CNTF in this mouse model results in reduced sprouting and decline of muscle strength in Smn+/- Cntf-/- mice. These findings indicate that CNTF is necessary for a sprouting response and thus enhances the size of motor units in skeletal muscles of Smn+/- mice. DNP afflicting motor and sensory nerve fibers is a major complication in diabetes mellitus. The underlying cellular mechanisms of motor axon degeneration are poorly understood. IGFBP-5, an inhibitory binding protein for IGF-1, is highly upregulated in peripheral nerves in patients with DNP. The study investigates the pathogenic relevance of this finding in transgenic mice overexpressing IGFBP-5 in motor axons. These mice develop motor axonopathy similar to that seen in DNP. Motor axon degeneration is also observed in mice in which the IGF-1 receptor (IGF-1R) was conditionally depleted in motoneurons, indicating that reduced activity of IGF-1 on IGF-1R in motoneurons is responsible for the observed effect. These data provide evidence that elevated expression of IGFBP-5 in diabetic nerves reduces the availability of IGF-1 for IGF-1R on motor axons leading to progressive neurodegeneration, and thus offers novel treatment strategies.
Polarity and migration are essential for T cell activation, homeostasis, recirculation and effector function. To address how T cells coordinate polarization and migration when interacting with dendritic cells (DC) during homeostatic and activating conditions, a low density collagen model was used for confocal live-cell imaging and high-resolution 3D reconstruction of fixed samples. During short-lived (5 to 15 min) and migratory homeostatic interactions, recently activated T cells simultaneously maintained their amoeboid polarization and polarized towards the DC. The resulting fully dynamic and asymmetrical interaction plane comprised all compartments of the migrating T cell: the actin-rich leading edge drove migration but displayed only moderate signaling activity; the mid-zone mediated TCR/MHC induced signals associated with homeostatic proliferation; and the rear uropod mediated predominantly MHC independent signals possibly connected to contact-dependent T cell survival. This “dynamic immunological synapse” with distinct signaling sectors enables moving T cells to serially sample antigen-presenting cells and resident tissue cells and thus to collect information along the way. In contrast to homeostatic contacts, recognition of the cognate antigen led to long-lasting T cell/DC interaction with T cell rounding, disintegration of the uropod, T cell polarization towards the DC, and the formation of a symmetrical contact plane. However, the polarity of the continuously migrating DC remained intact and T cells aggregated within the DC uropod, an interesting cellular compartment potentially involved in T cell activation and regulation of the immune response. Taken together, 3D collagen facilitates high resolution morphological studies of T cell function under realistic, in vivo-like conditions.
In this thesis different algorithms for the solution of generalized Nash equilibrium problems with the focus on global convergence properties are developed. A globalized Newton method for the computation of normalized solutions, a nonsmooth algorithm based on an optimization reformulation of the game-theoretic problem, and a merit function approach and an interior point method for the solution of the concatenated Karush-Kuhn-Tucker-system are analyzed theoretically and numerically. The interior point method turns out to be one of the best existing methods for the solution of generalized Nash equilibrium problems.
There is such vast amount of visual information in our surroundings at any time that filtering out the important information for further processing is a basic requirement for any visual system. This is accomplished by deploying attention to focus on one source of sensory inputs to the exclusion of others (Luck and Mangun 2009). Attention has been studied extensively in humans and non human primates (NHPs). In Drosophila, visual attention was first demonstrated in 1980 (Wolf and Heisenberg 1980) but this field remained largely unexplored until recently. Lately, however, studies have emerged that hypothesize the role of attention in several behaviors but do not specify the characteristic properties of attention. So, the aim of this research was to characterize the phenomenon of visual attention in wild-type Drosophila, including both externally cued and covert attention using tethered flight at a torque meter. Development of systematic quantifiable behavioral tests was a key aspect for this which was not only important for analyzing the behavior of a population of wild-type flies but also for comparing the wild-type flies with mutant flies. The latter would help understand the molecular, genetic, and neuronal bases of attention. Since Drosophila provides handy genetic tools, a model of attention in Drosophila will serve to the greater questions about the neuronal circuitry and mechanisms involved which might be analogous to those in primates. Such a model might later be used in research involving disorders of attention. Attention can be guided to a certain location in the visual field by the use of external cues. Here, using visual cues the attention of the fly was directed to one or the other of the two visual half-fields. A simple yet robust paradigm was designed with which the results were easily quantifiable. This paradigm helped discover several interesting properties of the cued attention, the most substantial one being that this kind of external guidance of attention is restricted to the lower part of the fly’s visual field. The guiding cue had an after-effect, i.e. it could occur at least up to 2 seconds before the test and still bias it. The cue could also be spatially separated from the test by at least 20° and yet attract the attention although the extent of the focus of attention (FoA) was smaller than one lower visual half-field. These observations excluded the possibility of any kind of interference between the test and the cue stimuli. Another interesting observation was the essentiality of continuous visibility of the test stimulus but not the cue for effective cuing. When the contrast of the visual scene was inverted, differences in response frequencies and cuing effects were observed. Syndirectional yaw torque responses became more frequent than the antidirectional responses and cuing was no longer effective in the lower visual field with inverted contrast. Interestingly, the test stimulus with simultaneous displacement of two stripes not only effectuated a phasic yaw torque response but also a landing response. A 50 landing response was produced in more than half of the cases whenever a yaw torque response was produced. Elucidation of the neuronal correlates of the cued attention was commenced. Pilot experiments with hydroxyurea (HU) treated flies showed that mushroom bodies were not required for the kind of guidance of attention tested in this study. Dopamine mutants were also tested for the guidance of attention in the lower visual field. Surprisingly, TH-Gal4/UAS-shits1 flies flew like wild-type flies and also showed normal optomotor response during the initial calibration phase of the experiment but did not show any phasic yaw torque or landing response at 18 °C, 25 °C or 30 °C. dumb2 flies that have almost no D1 dopamine receptor dDA1 expression in the mushroom bodies and the central complex (Kim et al. 2007) were also tested and like THGal4/ UAS-shits1 flies did not show any phasic yaw torque or landing response. Since the dopamine mutants did not show the basic yaw torque response for the test the role of dopamine in attention could not be deduced. A different paradigm would be needed to test these mutants. Not only can attention be guided through external cues, it can also be shifted endogenously (covert attention). Experiments with the windows having oscillating stripes nicely demonstrated the phenomenon of covert attention due to the production of a characteristic yaw torque pattern by the flies. However, the results were not easily quantifiable and reproducible thereby calling for a more systematic approach. Experiments with simultaneous opposing displacements of two stripes provide a promising avenue as the results from these experiments showed that the flies had a higher tendency to deliver one type of response than when the responses would be produced stochastically suggesting that attention increased this tendency. Further experiments and analysis of such experiments could shed more light on the mechanisms of covert attention in flies.
By the end of the year 2011, both the CMS and ATLAS experiments at the Large Hadron Collider have recorded around 5 inverse femtobarns of data at an energy of 7 TeV. There are only vague hints from the already analysed data towards new physics at the TeV scale. However, one knows that around this scale, new physics should show up so that theoretical issues of the standard model of particle physics can be cured. During the last decades, extensions to the standard model that are supposed to solve its problems have been constructed, and the corresponding phenomenology has been worked out. As soon as new physics is discovered, one has to deal with the problem of determining the nature of the underlying model. A first hint is of course given by the mass spectrum and quantum numbers such as electric and colour charges of the new particles. However, there are two popular model classes, supersymmetric models and extradimensional models, which can exhibit almost equal properties at the accessible energy range. Both introduce partners to the standard model particles with the same charges and thus one needs an extended discrimination method. From the origin of these partners arises a relevant difference: The partners constructed in extradimensional models have the same spin as their standard model partners while in Supersymmetry they differ by spin 1/2.\\ These different spins have an impact on the phenomenology of the two models. For example, one can exploit the fact that the total cross sections are affected, but this requires a very good knowledge of the couplings and masses involved. Another approach uses angular distributions depending on the particle spins. A prevailing method based on this idea uses the invariant mass distribution of the visible particles in decay chains. One can relate these distributions to the spin of the particle mediating the decay since it reflects itself in the highest power of the invariant mass $\sff$ of the adjacent particles. In this thesis we first study the influence of higher than dimension 4 operators on spin determination in such decay chains. We write down the relevant dimension 5 and 6 operators and calculate their contributions to the invariant mass distribution. We discuss how they affect the determination of spin and couplings.\\ We then address two scenarios which do not involve decay chains in the usual sense. In three body decays, the method pointed out above cannot be applied since it can only be used if the mediating particle is produced on-shell. For off-shell decays, which are important e.g. in split-Supersymmetry or split-Universal Extra Dimensions, the narrow width approximation cannot be made which previously led to the simple relation between spin and the highest power of $\sff$. We work out a strategy for these three body decays that can distinguish between the different spin scenarios. The method relies on the fact that the differential decay width $d\Gamma /d\sff$ can be rewritten in this limit as a global phase space function and a polynomial in $\sff$. The coefficients in this polynomial are functions of masses and couplings and we show that they have distinct signs or ratios depending on the spins involved in the decay. We test the strategy in a series of Monte Carlo studies and discuss the influence of the intermediate particle's mass. In the last part we consider a topology with very short decay chains. Again one cannot use the relation between spin and invariant mass. We investigate one variable that has been invented for the discrimination of Supersymmetry and Universal Extra Dimensions in the high energy limit which reduces the problem to the underlying production process. We show how this variable can also be used in new physics scenarios where the high energy limit is not a viable approximation. We include all possible spin scenarios with renormalizable interactions and study in detail the influence of the involved masses and couplings on the discrimination power of this variable. We find for example that the scenario containing the supersymmetric case is well distinguishable from most other spin scenarios.
In this thesis I studied psychological aspects in the behaviour of Drosophila, and especially Drosophila larvae. After an introduction where I present the general scientific context and describe the mechanisms of olfactory perception as well as of classical and operant conditioning, I present the different experiments that I realised during my PhD. Perception The second chapter deals with the way adult Drosophila generalise between single odours and binary mixtures of odours. I found that flies perceive a mixture of two odours as equally similar to the two elements composing it; and that the intensity as well as the physico-chemical nature of the elements composing a mixture affect the degree of generalisation between this mixture and one of its elements. These findings now call for further investigation on the physiological level, using functional imaging. Memory The third chapter presents a series of experiments in Drosophila larvae in order to define some characteristics of a new protocol for classical aversive learning which involves associating odours with mechanical disturbance as a punishment. The protocol and the first results should open new doors for the study of classical conditioning in Drosophila larvae, by allowing the comparison between two types of aversive memory (gustatory vs. mechanical reinforcement), including a comparison of their neurogenetic bases. It will also allow enquiries into the question whether these respective memories are specific for the kind of reinforcer used. Agency The fourth chapter documents our attempts to establish operant memory in Drosophila larvae. By analysing the first moments of the test, I could reveal that the larvae modified their behaviour according to their previous operant training. However, this memory seems to be quickly extinguished during the course of the test. We now aim at repeating these results and improving the protocol, in order to be able to systematically study the mechanisms allowing and underlying operant learning in Drosophila larvae. In the fifth chapter, I use the methods developed in chapter four for an analysis of larval locomotion. I determine whether larval locomotion in terms of speed or angular speed is affected by a treatment with the “cognitive enhancer” Rhodiola rosea, or by mutations in the Synapsin or SAP47 genes which are involved in the formation of olfactory memory. I also characterize the modifications induced by the presence of gustatory stimuli in the substrate on which the larvae are crawling. This thesis thus brings new elements to the current knowledge of Drosophila
The nicotinic acetylcholine receptor of skeletal muscle is one of the best-investigated synaptic proteins and often serves as model for the entire family of pentameric ligand gated ion channels (pLGICs). Receptors of this superfamily share a common architecture. After binding the agonist the characteristic C-loop structure closes around the ligand-binding site and triggers a wave of conformational changes that spread through the protein and finally result in the opening of the channel gate. As shown before, high-resolution single channel data can hardly be described by simple kinetic mechanisms (Parzefall et al., 1998, Hallermann et al., 2005). Recent advances in the field of kinetic modelling on receptor currents demonstrate that the introduction of additional short lived shut states in kinetic schemes enhances the quality of estimates of reaction rates. The additional shut states that immediately follow ligand bound states in the mechanism are suggested to resemble the closing movement of the C-loop (Lape et al., 2008; Mukhtasimova et al., 2009). It has not been described yet whether and how the structural differences of the 2 binding sites of the receptor influence the opening behaviour. To address this question, high-resolution single channel recordings, in combination with agonists that are known to exhibit different binding site selectivity, were performed. Thereby, a detailed description of the binding site dependent generation of channel currents is possible. At the embryonic mouse-muscle receptor used in this study the ligand binding sites are located at the α-γ and α-δ subunit interfaces. By allocation of opening characteristics to the α-δ and α-γ sites it is possible to show the binding site dependent activation of distinct kinetic states. Furthermore, it will be shown that the recently introduced short-lived shut states are sufficient to describe high-resolution single channel data. Finally an enhanced kinetic mechanism based on the ‘primed states’ model, published in 2009 by Mukhtasimova et al., will be presented. In this model the structurally diverse α-δ and α-γ binding sites elicit different kinetic channel characteristics. Thus the complex high-resolution kinetic characteristics of the embryonic receptor can be described coherently.