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This thesis is concerned with numerical methods for solving nonlinear and mixed complementarity problems. Such problems arise from a variety of applications such as equilibria models of economics, contact and structural mechanics problems, obstacle problems, discrete-time optimal control problems etc. In this thesis we present a new formulation of nonlinear and mixed complementarity problems based on the Fischer-Burmeister function approach. Unlike traditional reformulations, our approach leads to an over-determined system of nonlinear equations. This has the advantage that certain drawbacks of the Fischer-Burmeister approach are avoided. Among other favorable properties of the new formulation, the natural merit function turns out to be differentiable. To solve the arising over-determined system we use a nonsmooth damped Levenberg-Marquardt-type method and investigate its convergence properties. Under mild assumptions, it can be shown that the global and local fast convergence results are similar to some of the better equation-based method. Moreover, the new method turns out to be significantly more robust than the corresponding equation-based method. For the case of large complementarity problems, however, the performance of this method suffers from the need for solving the arising linear least squares problem exactly at each iteration. Therefore, we suggest a modified version which allows inexact solutions of the least squares problems by using an appropriate iterative solver. Under certain assumptions, the favorable convergence properties of the original method are preserved. As an alternative method for mixed complementarity problems, we consider a box constrained least squares formulation along with a projected Levenberg-Marquardt-type method. To globalize this method, trust region strategies are proposed. Several ingredients are used to improve this approach: affine scaling matrices and multi-dimensional filter techniques. Global convergence results as well as local superlinear/quadratic convergence are shown under appropriate assumptions. Combining the advantages of the new methods, a new software for solving mixed complementarity problems is presented.
This work deals with channel-tunnel dependent multidrug efflux pumps and type I secretion systems, more concrete with the improved classification of the adaptor protein family, the characterization of the TolC-homologue protein HI1462 of Haemophilus influenzae, and the molecular characterization of the interaction between TolC and AcrA of Escherichia coli.
The hydrophosphination reaction offers an important synthesis method for the building of primary, secondary and tertiary phosphines. In this work we report the syntheses of different primary phosphine complexes of iron and ruthenium. Also their reactivity in hydrophosphination reaction and the influence of diverse ligands, for example bidentate phosphine ligand and hemilablie ligand, were studied.
With the progress in sequencing of the honey bee genome new data become available which allows the search and identification of genes coding for homologous proteins found in other organism. Two genes coding for c-type lysozymes were identified in the genome of A. mellifera through an online-based BLAST search. Expression of both intron-less genes seems not to be under the regulatory control of either of the two pathways involved in humoral insect immunity, i.e. Toll and Imd, since no NF-κB transcription factor binding sites are found upstream of the genes. The encoded Lys-1 and Lys-2 are 157 and 143 amino acid long, respectively, and share a sequence similarity of 90%. Further in silico analysis revealed a signal peptidase cleavage site at the N-terminus of each amino acid sequence, strongly suggesting a secretion of the enzymes into the surrounding environment of the producing cells. Sequence alignments of both amino acid sequences with other c-type lysozymes identified the highly conserved active site glutamic acid (Glu32) as well as eight highly conserved cysteine residues. However, an important aspartic acid (Asp50) in the active site that helps to stabilize a substrate intermediate during catalysis is replaced by a serine residue in the lysozymes of A. mellifera. The replacement of the active site aspartic acid in the honey bee lysozymes suggests a different catalytic mechanism and/or a different substrate-specificity in respect to other c-type lysozymes. Furthermore, 3D-models of Lys-1 and Lys-2 were generated based on the sequence similarity of A. mellifera lysozymes with other c-type lysozymes. The published 3D structure of the lysozyme from the silkmoth Bombyx mori, which shares the highest sequence similarity of all available structures with A. mellifera lysozymes, was used as template for the construction of the 3D-models. The models of Lys-1 and Lys-2 suggest that both enzymes resemble, in large part, the structure of B. mori lysozyme. In order to identify the set of AMPs in the hemolymph of A. mellifera, hemolymph of immunized bees was analyzed. Applying SDS-polyacrylamide gel electrophoresis and mass spectrometry on hemolymph from immunized bees, three out of the four peptides were identified, i.e. abaecin, defensin 1 and hymenoptaecin. Furthermore, Lys-2 was identified in the hemolymph by mass spectrometry, conclusively demonstrating the presence of a lysozyme in the hemolymph of A. mellifera for the first time. However, the protein levels of Lys-2 were not affected by bacterial injection, suggesting that the gene expression of the putative antibacterial protein is not under the regulatory control of the Imd and/or Toll pathway. Besides the abovementioned antimicrobial peptides, the 76 kDa large transferrin was also identified. Transferrin is an iron-binding protein that has been implicated in innate immunity in the honey bee. Furthermore, the effect of pathogenic dose, the timeline of peptide induction and the age-related accumulation of the aforementioned AMPs were studied. The intensity of expression of the antimicrobial peptides, abaecin, defensin 1, and hymenoptaecin as well as transferrin increased proportionally with the amount of bacteria injected into the hemocoel. No such effect was observed for the protein levels of Lys-2. Furthermore, up-regulation of the three antibacterial peptides and transferrin was observed within the first 24 h following infection with E. coli (gram-). Infection with the gram+ bacterium Micrococcus flavus resulted in high and moderate protein levels for transferrin and abaecin, respectively, whereas hardly any accumulation of hymenoptaecin was observed, indicating that the gene expression of abaecin and transferrin is somehow positively correlated, and would suggest a shared regulatory pathway that differs from that of hymenoptaecin. Although bacterial infections didn’t seem to stimulate the production of Lys-2, different concentrations in the hemolymph were observed in bees of different ages, suggesting a correlation between the expression of Lys-2 and the age-related division of labor of adult worker honey bees, also known as age polyethism. The results further allow a proposed causal connection between the age-dependent accumulation of Lys-2 and the hemolymph titer of the gonotrophic hormone juvenile hormone, which is the “behavioral pacemaker” in adult honey bees.
Summary Timber harvesting is currently the most common commercial utilisation activity in tropical forests. Assessing the effects of logging on different aspects of biodiversity and general ecosystem properties is hence of prime importance if the few remaining areas of intact tropical forest are to be protected effectively and efficiently. Tropical amphibian communities are an appropriate model system for studies on the impacts of human-induced environmental changes on the dynamics of complex biological systems. This thesis elaborates on patterns of diversity changes in tropical forest amphibian communities facing habitat alterations associated with selective logging in two globally important eco-regions (Côte d’Ivoire, Upper Guinea, West Africa and Guyana, the Guiana Shield, northern South America). The thesis is organised along two main themes. After a general introduction, a section on general methodology and an introduction to the model systems studied, the first theme moves from general patterns to underlying processes. A second theme running through both chapters carries from undisturbed systems to disturbed systems. A final section integrates findings and addresses implications for conservation management of anthropogenically altered tropical forests. Several case studies at the species- population and community level are being presented and data on the direct and indirect impacts of anthropogenic habitat alteration on respective organizational levels are provided. A key statement that is stressed on throughout the studies is the fact that common measures of diversity, such as species richness and species-diversity only inadequately reflect processes of diversity change following anthropogenic disturbance. They also fail to describe actual impacts on the dynamics of complex biological systems. It is argued that commonly used measures produce an incoherent and insufficient picture of diversity patterns and the underlying processes that shape these patterns. Thus, an understanding of higher levels of diversity, such as β-diversity and functional diversity (and hence compositional patterns) appears to be the key to effectively mitigating the impacts of human-induced disturbance on amphibian communities. It is shown that the predictability of amphibian community composition depends on the respective level of anthropogenic disturbance imposed on a particular habitat. Hence, human activities that lead to changes in the structure of a forest, such as logging, not only alter simple system descriptors, such as the number of species in a given community, but rather alter the dynamics of the entire system. In this context, functional diversity is shown to be an important aspect underlying the actual mechanism that leads to the observed change of predictability patterns. Functional differences between species, rather than number of species per se appear to be the decisive factor in sustaining desirable ecosystem states and thus in maintaining important ecosystem services. Because biological diversity appears to play a substantial role in ecosystem resilience required to safeguard essential ecosystem functions in the face of environmental change, the thesis calls for a critical revision of common diversity assessments approaches. The studies advocate the reconsideration of the uncritical use of widespread measures and descriptors of biodiversity on grounds of inconsistent patterns found throughout numerous studies, including those presented herein.
The investigation of multivariate generalized Pareto distributions (GPDs) in the framework of extreme value theory has begun only lately. Recent results show that they can, as in the univariate case, be used in Peaks over Threshold approaches. In this manuscript we investigate the definition of GPDs from Section 5.1 of Falk et al. (2004), which does not differ in the area of interest from those of other authors. We first show some theoretical properties and introduce important examples of GPDs. For the further investigation of these distributions simulation methods are an important part. We describe several methods of simulating GPDs, beginning with an efficient method for the logistic GPD. This algorithm is based on the Shi transformation, which was introduced by Shi (1995) and was used in Stephenson (2003) for the simulation of multivariate extreme value distributions of logistic type. We also present nonparametric and parametric estimation methods in GPD models. We estimate the angular density nonparametrically in arbitrary dimension, where the bivariate case turns out to be a special case. The asymptotic normality of the corresponding estimators is shown. Also in the parametric estimations, which are mainly based on maximum likelihood methods, the asymptotic normality of the estimators is shown under certain regularity conditions. Finally the methods are applied to a real hydrological data set containing water discharges of the rivers Altmühl and Danube in southern Bavaria.
The mechanism of spontaneous symmetry breaking is essential to provide masses to the W and Z gauge bosons and fermions of the SM. We hope to elucidate this mechanism at the next generation of colliders. While the SM has been tested with astonishing precision it is believed to be an effective theory of a more fundamental Great Unified Theory. SUSY is one of the most attractive extensions of the SM of particle physics. Therefore, the search for SUSY is a top priority at the next generation of colliders. Once Higgs bosons are discovered, a precise determination of their properties is necessary to differentiate between different models, in particular the MSSM. A muon collider, running at center of mass energies around the neutral Higgs boson resonances, would allow precise measurements of masses and widths, as well as the couplings to their decay products. In particular their couplings to supersymmetric particles are essential to probe SUSY. Therefore, we study the decays of the heavier CP-even and CP-odd Higgs bosons into lighter chargino or neutralino pairs. In this thesis we have analyzed the polarization effects of the beams and the charginos and neutralinos produced in mu+ mu- annihilation around the center of mass energies of the Higgs boson resonances H and A. For the production of equal charginos we have shown that the ratio of H-chargino and A-chargino couplings can be precisely determined independently of the chargino decay mechanism. This method avoids reference to other experiments and makes only a few model-dependent assumptions. Here we have analyzed the effect of the energy spread and of the error from the non-resonant channels, including an irreducible standard model background contribution. For small tan(beta) the process yields large cross sections of up to a pb. For the production of two different charginos we have shown that the H-A interference can be analyzed using asymmetries of the charge conjugated processes. The asymmetries depend on the muon longitudinal beam polarizations and vanish for unpolarized beams. For the chargino pair production with subsequent two-body decay of one of the charginos we have shown that charge and beam polarization asymmetries in the energy distributions of the decay particles are sensitive to the interference of scalar exchange channels with different CP quantum numbers. This process provides unique information on the interference of overlapping Higgs boson resonances. The effect is larger for regions of parameter space with intermediate values of tan(beta) and light sleptons or LSP neutralinos. For the chargino pair production with subsequent two-body decays of both charginos we have defined energy distribution and angular asymmetries in the final particles, in order to analyze the spin-spin correlations of the charginos. The transverse polarizations of the charginos are sensitive to the CP quantum number of the exchanged Higgs bosons and can thus be used to separate overlapping resonances, as well as to determine the CP quantum number of a single resonance. For equal charginos, these asymmetries are not sensitive to the interference of CP-even and CP-odd Higgs exchange channels. For the neutralino pair production in mu+ mu- annihilation we study similar processes as for chargino production. Line shape measurements of neutralino pair production allow to precisely determine the ratio of H-neutralino and A-neutralino couplings. Neutralino pair production with subsequent two-body decay of one of the neutralinos in the intermediate tan(beta) region is sensitive to the interference of H and A and may be measured with a large statistical significance. The Majorana nature of the neutralinos implies that the beam polarization asymmetries vanish for the remaining production channels. For neutralino pair production with subsequent two-body decays of both neutralinos we analyze similar observables as in chargino production. The main difference consists in the intrinsic relative CP quantum number of the neutralino pair, which depends on the chosen scenario. We have thus shown that the interaction of the Higgs bosons to the gaugino-higgsino sector can be probed at a muon collider in chargino and neutralino pair production, both analyzing the production line-shape around the resonances as well as studying the chargino and neutralino polarizations via their decays.
In this work we investigate magnetic resonant tunneling diode (RTD) structures for spin manipulation. All-II-VI semiconductor RTD structures based on [Zn,Be]Se are grown by molecular beam epitaxy. We observe a strong, magnetic field induced, splitting of the resonance peaks in the I-V characteristics of RTDs with [Zn,Mn]Se diluted magnetic semiconductors (DMS) quantum well. The splitting saturates at high fields and has strong temperature dependence. A phonon replica of the resonance is also observed and has similar behaviour to the peak. We develop a model based on the giant Zeeman splitting of the spin levels in the DMS quantum well in order to explain the magnetic field induced behaviour of the resonance.
In this thesis two genes involved in causing neurodegenerative phenotypes in Drosophila are described. olk (omb-like), a futsch allele, is a micotubule associated protein (MAP) which is homologous to MAP1B and sws (swiss cheese) a serine esterase of yet unknown function within the nervous system. The lack of either one of these genes causes progressive neurodegeneration in two different ways. The sws mutant is characterized by general degeneration of the adult nervous system, glial hyperwrapping and neuronal apoptosis. Deletion of NTE (neuropathy target esterase), the SWS homolog in vertebrates, has been shown to cause a similar pattern of progressive neural degeneration in mice. NTE reacts with organophosphates causing axonal degeneration in humans. Inhibition of vertebrate NTE is insufficient to induce paralyzing axonal degeneration, a reaction called "aging reaction" is necessary for the disease to set in. It is hypothesized that a second "non-esterase" function of NTE is responsible for this phenomenon. The biological function of SWS within the nervous system is still unknown. To characterize the function of this protein several transgenic fly lines expressing different mutated forms of SWS were established. The controlled expression of altered SWS protein with the GAL4/UAS system allowed the analysis of isolated parts of the protein that were altered in the respective constructs. The characterization of a possible non-esterase function was of particular interest in these experiments. One previously described aberrant SWS construct lacking the first 80 amino acids (SWSΔ1-80) showed a deleterious, dominant effect when overexpressed and was used as a model for organophosphate (OP) intoxication. This construct retains part of its detrimental effect even without catalytically active serine esterase function. This strongly suggests that there is another characteristic to SWS that is not defined solely by its serine esterase activity. Experiments analyzing the lipid contents of sws mutant, wildtype (wt) and SWS overexpressing flies gave valuable insights into a possible biological function of SWS. Phosphatidylcholine, a major component of cell membranes, accumulates in sws mutants whereas it is depleted in SWS overexpressing flies. This suggests that SWS is involved in phosphatidylcholine regulation. The produced α-SWS antibody made it possible to study the intracellular localization of SWS. Images of double stainings with ER (endoplasmic reticulum) markers show that SWS is in great part localized to the ER. This is consistent with findings of SWS/ NTE localization in yeast and mouse cells. The olk mutant also shows progressive neurodegeneration but it is more localized to the olfactory system and mushroom bodies. Regarding specific cell types it seemed that specifically the projection neurons (PNs) are affected. A behavioral phenotype consisting of poor olfactory memory compared to wt is also observed even before histologically visible neurodegeneration sets in. Considering that the projection neurons connect the antennal lobes to the mushroom bodies, widely regarded as the "learning center", this impairment was expected. Three mutants where identified (olk1-3) by complementation analysis with the previously known futschN94 allele and sequencing of the coding sequence of olk1 revealed a nonsense mutation early in the protein. Consistent with the predicted function of Futsch as a microtubule associated protein (MAP), abnormalities are most likely due to a defective microtubule network and defects in axonal transport. In histological sections a modified cytoskeletal network is observed and western blots confirm a difference in the amount of tubulin present in the olk1 mutant versus the wt. The elaboration of neuronal axons and dendrites is dependent on a functional cytoskeleton. Observation of transport processes in primary neural cultures derived from olk1 mutant flies also showed a reduction of mitochondrial transport. Interaction with the fragile X mental retardation gene (dfmr1) was observed with the olk mutant. A dfmr1/ olk1 double mutant shows an ameliorated phenotype compared to the olk1 single mutant. tau, another MAP gene, was also shown to be able to partially rescue the olk1 mutant.
Localization of BMP receptors in distinct plasma membrane domains and its impact on BMP signaling
(2006)
Endocytosis of growth factor receptors plays an important role in the activation and propagation as well as the attenuation of signaling pathways. Its malfunctioning can cause several pathologies, e.g. by controlling the level of receptors at the cell surface. BMPs are members of the TGF-ß superfamily and are involved in the regulation of proliferation, differentiation, chemotaxis and apoptosis. BMP signaling is initiated at two types of transmembrane serine/threonine kinases, BRI and BRII. BMP receptor activation occurs upon ligand binding to preformed complexes (PFCs) or BMP2-induced signaling complexes (BISCs) composed of BRI and BRII. Binding of BMP2 to PFCs results in activation of the Smad pathway, whereas BISCs initiate the activation of Smad-independent pathways via p38 resulting in the induction of Alkaline phosphatase (ALP). BMP receptor endocytosis has not been extensively studied and the potential role of localization to different regions of the plasma membrane in determining the signaling pathways activated by PFCs and BISCs was not explored so far. In the present work, the localization of BMP receptors in distinct membrane domains and the consequential impact on BMP signaling were investigated. By separating detergent-resistant membranes (DRMs) from cell lysates and subsequent gradient ultracentrifugation, it could be demonstrated that BRI and BRII cofractionate with cav-1, the marker protein of caveolae. Moreover, both receptor types interacted with cav-1 and showed a partially colocalization with cav-1 at the plasma membrane. Although these results point to a caveolar localization, BMP receptors cofractionated also with DRMs in cells exhibiting no caveolae, suggesting an additional non-caveolar raft localization. Beyond that, BRII could also be localized to clathrin-coated pits (CCPs) by means of immuno-electronmicroscopy studies. The second part of this thesis demonstrated that both membrane regions influence BMP signaling in distinct ways. Smad1/5 was shown to be phosphorylated independently of endocytic events at the cell surface. On the one hand, disruption of DRM regions by cholesterol depletion inhibited specifically BMP2-mediated ALP production, while Smad signaling was unaffected. On the other hand, inhibition of clathrin-mediated endocytosis by specific inhibitors affected BMP2-induced Smad signaling as well as the induction of ALP, suggesting that both Smad-dependent and Smad-independent signaling pathways are required for BMP2 induced ALP production. These findings propose an important regulatory impact of different endocytic routes and membrane regions on BMP signaling as well as that a distinct membrane localization of BMP receptors account for specific signaling properties initiated at PFCs or BISCs.