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This work focuses on a fundamental problem in modern numerical rela- tivity: Extracting gravitational waves in a coordinate and gauge independent way to nourish a unique and physically meaningful expression. We adopt a new procedure to extract the physically relevant quantities from the numerically evolved space-time. We introduce a general canonical form for the Weyl scalars in terms of fundamental space-time invariants, and demonstrate how this ap- proach supersedes the explicit definition of a particular null tetrad. As a second objective, we further characterize a particular sub-class of tetrads in the Newman-Penrose formalism: the transverse frames. We establish a new connection between the two major frames for wave extraction: namely the Gram-Schmidt frame, and the quasi-Kinnersley frame. Finally, we study how the expressions for the Weyl scalars depend on the tetrad we choose, in a space-time containing distorted black holes. We apply our newly developed method and demonstrate the advantage of our approach, compared with methods commonly used in numerical relativity.
The study investigates the water resources and aquifer dynamics of the igneous fractured aquifer-system of the Troodos Mountains in Cyprus, using a coupled, finite differences water balance and groundwater modelling approach. The numerical water balance modelling forms the quantitative framework by assessing groundwater recharge and evapotranspiration, which form input parameters for the groundwater flow models. High recharge areas are identified within the heavily fractured Gabbro and Sheeted Dyke formations in the upper Troodos Mountains, while the impervious Pillow Lava promontories - with low precipitation and high evapotranspiration - show unfavourable recharge conditions. Within the water balance studies, evapotranspiration is split into actual evapotranspiration and the so called secondary evapotranspiration, representing the water demand for open waters, moist and irrigated areas. By separating the evapotranspiration of open waters and moist areas from the one of irrigated areas, groundwater abstraction needs are quantified, allowing the simulation of single well abstraction rates in the groundwater flow models. Two sets of balanced groundwater models simulate the aquifer dynamics in the presented study: First, the basic groundwater percolation system is investigated using two-dimensional vertical flow models along geological cross-sections, depicting the entire Troodos Mountains up to a depth of several thousands of metres. The deeply percolating groundwater system starts in the high recharge areas of the upper Troodos, shows quasi stratiform flow in the Gabbro and Sheeted Dyke formations, and rises to the surface in the vicinity of the impervious Pillow Lava promontories. The residence times mostly yield less than 25 years, the ones of the deepest fluxes several hundreds of years. Moreover, inter basin flow and indirect recharge of the Circum Troodos Sedimentary Succession are identified. In a second step, the upper and most productive part of the fractured igneous aquifer-system is investigated in a regional, horizontal groundwater model, including management scenarios and inter catchment flow studies. In a natural scenario without groundwater abstractions, the recovery potential of the aquifer is tested. Predicted future water demand is simulated in an increased abstraction scenario. The results show a high sensitivity to well abstraction rate changes in the Pillow Lava and Basal Group promontories. The changes in groundwater heads range from a few tens of metres up to more than one hundred metres. The sensitivity in the more productive parts of the aquifer-system is lower. Inter-catchment flow studies indicate that - besides the dominant effluent conditions in the Troodos Mountains - single reaches show influent conditions and are sub-flown by groundwater. These fluxes influence the local water balance and generate inter catchment flow. The balanced groundwater models form thus a comprehensive modelling system, supplying future detail models with information concerning boundary conditions and inter-catchment flow, and allowing the simulation of impacts of landuse or climate change scenarios on the dynamics and water resources of the Troodos aquifer-system.
Two-particle excitations, such as spin and charge excitations, play a key role in high-Tc cuprate superconductors (HTSC). Due to the antiferromagnetism of the parent compound the magnetic excitations are supposed to be directly related to the mechanism of superconductivity. In particular, the so-called resonance mode is a promising candidate for the pairing glue, a bosonic excitation mediating the electronic pairing. In addition, its interactions with itinerant electrons may be responsible for some of the observed properties of HTSC. Hence, getting to the bottom of the resonance mode is crucial for a deeper understanding of the cuprate materials . To analyze the corresponding two-particle correlation functions we develop in the present thesis a new, non-perturbative and parameter-free technique for T=0 which is based on the Variational Cluster Approach (VCA, an embedded cluster method for one-particle Green's functions). Guided by the spirit of the VCA we extract an effective electron-hole vertex from an isolated cluster and use a fully renormalized bubble susceptibility chi0 including the VCA one-particle propagators.Within our new approach, the magnetic excitations of HTSC are shown to be reproduced for the Hubbard model within the relevant strong-coupling regime. Exceptionally, the famous resonance mode occurring in the underdoped regime within the superconductivity-induced gap of spin-flip electron-hole excitations is obtained. Its intensity and hourglass dispersion are in good overall agreement with experiments. Furthermore, characteristic features such as the position in energy of the resonance mode and the difference of the imaginary part of the susceptibility in the superconducting and the normal states are in accord with Inelastic Neutron Scattering (INS) experiments. For the first time, a strongly-correlated parameter-free calculation revealed these salient magnetic properties supporting the S=1 magnetic exciton scenario for the resonance mode. Besides the INS data on magnetic properties further important new insights were gained recently via ARPES (Angle-Resolved Photoemission-Spectroscopy) and Raman experiments which disclosed a quite different doping dependence of the antinodal compared to the near-nodal gap. This thesis provides an approach to the Raman response similar to the magnetic case for inspecting this gap dichotomy. In agreement with experiments and one-particle data obtained in the VCA, we recover the antinodal gap decreasing and the near-nodal gap increasing as a function of doping. Hence, our results prove the Hubbard model to account for these salient gap features. In summary, we develop a two-particle cluster approach which is appropriate for the strongly-correlated regime and contains no free parameter. Our results obtained with this new approach combined with the phase diagram and the one-particle excitations obtained in the VCA strongly constitute a Hubbard model description of HTSC cuprate materials.
In this thesis, we present novel approaches for formation driving of nonholonomic robots and optimal trajectory planning to reach a target region. The methods consider a static known map of the environment as well as unknown and dynamic obstacles detected by sensors of the formation. The algorithms are based on leader following techniques, where the formation of car-like robots is maintained in a shape determined by curvilinear coordinates. Beyond this, the general methods of formation driving are specialized and extended for an application of airport snow shoveling. Detailed descriptions of the algorithms complemented by relevant stability and convergence studies will be provided in the following chapters. Furthermore, discussions of the applicability will be verified by various simulations in existing robotic environments and also by a hardware experiment.
Mycobacterium tuberculosis is the causative agent of tuberculosis and responsible for more than eight million new infections and about two million deaths each year. Novel chemotherapeutics are urgently needed to treat the emerging threat of multi drug resistant and extensively drug resistant strains. Cell wall biosynthesis is a widely used target for chemotherapeutic intervention in bacterial infections. In mycobacteria, the cell wall is comprised of mycolic acids, very long chain fatty acids that provide protection and allow the bacteria to persist in the human macrophage. The type II fatty acid biosynthesis pathway in Mycobacterium tuberculosis synthesizes fatty acids with a length of up to 56 carbon atoms that are the precursors of the critical mycobacterial cell wall components mycolic acids. KasA, the mycobacterial ß-ketoacyl synthase and InhA, the mycobacterial enoyl reductase, are essential enzymes in the fatty acid biosynthesis pathway and validated drug targets. In this work, KasA was expressed in Mycobacterium smegmatis, purified and co-crystallized in complex with the natural thiolactone antibiotic thiolactomycin (TLM). High-resolution crystal structures of KasA and the C171Q KasA variant, which mimics the acyl enzyme intermediate of the enzyme, were solved in absence and presence of bound TLM. The crystal structures reveal how the inhibitor is coordinated by the enzyme and thus specifically pinpoint towards possible modifications to increase the affinity of the compound and develop potent new drugs against tuberculosis. Comparisons between the TLM bound crystal structures explain the preferential binding of TLM to the acylated form of KasA. Furthermore, long polyethylene glycol molecules are bound to KasA that mimic a fatty acid substrate of approximately 40 carbon atoms length. These structures thus provide the first insights into the molecular mechanism of substrate recognition and reveal how a wax-like substance can be accommodated in a cytosolic environment. InhA was purified and co-crystallized in complex with the slow, tight binding inhibitor 2-(o-tolyloxy)-5-hexylphenol (PT70). Two crystal structures of the ternary InhA-NAD+-PT70 were solved and reveal how the inhibitor is bound to the substrate binding pocket. Both structures display an ordered substrate binding loop and corroborate the hypothesis that slow onset inhibition is coupled to loop ordering. Upon loop ordering, the active site entrance is more restricted and the inhibitor is kept inside more tightly. These studies provide additional information on the mechanistic imperatives for slow onset inhibition of enoyl ACP reductases.
Genome sequence analysis A combination of genome analysis application has been established here during this project. This offers an efficient platform to interactively compare similar genome regions and reveal loci differences. The genes and operons can be rapidly analyzed and local collinear blocks (LCBs) categorized according to their function. The features of interests are parsed, recognized, and clustered into reports. Phylogenetic relationships can be readily examined such as the evolution of critical factors or a certain highly-conserved region. The resulting platform-independent software packages (GENOVA and inGeno), have been proven to be efficient and easy to handle in a number of projects. The capabilities of the software allowed the investigation of virulence factors, e.g., rsbU, strains’ biological design, and in particular pathogenicity feature storage and management. We have successfully investigated the genomes of Staphylococcus aureus strains (COL, N315, 8325, RN1HG, Newman), Listeria spp. (welshimeri, innocua and monocytogenes), E.coli strains (O157:H7 and MG1655) and Vaccinia strains (WR, Copenhagen, Lister, LIVP, GLV-1h68 and parental strains). Metabolic network analysis Our YANAsquare package offers a workbench to rapidly establish the metabolic network of such as Staphylococcous aureus bacteria in genome-scale size as well as metabolic networks of interest such as the murine phagosome lipid signalling network. YANAsquare recruits reactions from online databases using an integrated KEGG browser. This reduces the efforts in building large metabolic networks. The involved calculation routines (METATOOL-derived wrapper or native Java implementation) readily obtain all possible flux modes (EM/EP) for metabolite fluxes within the network. Advanced layout algorithms visualize the topological structure of the network. In addition, the generated structure can be dynamically modified in the graphic interface. The generated network as well as the manipulated layout can be validated and stored (XML file: scheme of SBML level-2). This format can be further parsed and analyzed by other systems biology software, such as CellDesigner. Moreover, the integrated robustness-evaluation routine is able to examine the synthesis rates affected by each single mutation throughout the whole network. We have successfully applied the method to simulate single and multiple gene knockouts, and the affected fluxes are comprehensively revealed. Recently we applied the method to proteomic data and extra-cellular metabolite data of Staphylococci, the physiological changes regarding the flux distribution are studied. Calculations at different time points, including different conditions such as hypoxia or stress, show a good fit to experimental data. Moreover, using the proteomic data (enzyme amounts) calculated from 2D-Gel-EP experiments our study provides a way to compare the fluxome and the enzyme expression. Oncolytic vaccinia virus (VACV) We investigated the genetic differences between the de novo sequence of the recombinant oncolytic GLV-1h68 and other related VACVs, including function predictions for all found genome differences. Our phylogenetic analysis indicates that GLV-1h68 is closest to Lister strains but has lost several ORFs present in its parental LIVP strain, including genes encoding CrmE and a viral Golgi anti-apoptotic protein, v-GAAP. Functions of viral genes were either strain-specific, tissue-specific or host-specific comparing viral genes in the Lister, WR and COP strains. This helps to rationally design more optimized oncolytic virus strains to benefit cancer therapy in human patients. Identified differences from the comparison in open reading frames (ORFs) include genes for host-range selection, virulence and immune modulation proteins, e.g. ankyrin-like proteins, serine proteinase inhibitor SPI-2/CrmA, tumor necrosis factor (TNF) receptor homolog CrmC, semaphorin-like and interleukin-1 receptor homolog proteins. The contribution of foreign gene expression cassettes in the therapeutic and oncolytic virus GLV-1h68 was studied, including the F14.5L, J2R and A56R loci. The contribution of F14.5L inactivation to the reduced virulence is demonstrated by comparing the virulence data of GLV-1h68 with its F14.5L-null and revertant viruses. The comparison suggests that insertion of a foreign gene expression cassette in a nonessential locus in the viral genome is a practical way to attenuate VACVs, especially if the nonessential locus itself contains a virulence gene. This reduces the virulence of the virus without compromising too much the replication competency of the virus, the key to its oncolytic activity. The reduced pathogenicity of GLV-1h68 was confirmed by our experimental collaboration partners in male mice bearing C6 rat glioma and in immunocompetent mice bearing B16-F10 murine melanoma. In conclusion, bioinformatics and experimental data show that GLV-1h68 is a promising engineered VACV variant for anticancer therapy with tumor-specific replication, reduced pathogenicity and benign tissue tropism.
This thesis analyzes the relationship between market concentration and efficiency of the market outcome in a differentiated good context from different points of view. The first chapter introduces the objectives of competition policy and antitrust authorities and outlines the importance of market concentration. Chapter 2 analyzes the relationship between social surplus and market heterogeneity in a differentiated Cournot oligopoly. Market heterogeneity is due to differently efficient firms, each of them producing one variety of a differentiated good. All firms exhibit constant but different marginal costs without fixed costs. Consumers preferences are given by standard quadratic utility originated by Dixit (1979). Since preferences are quasi-linear social surplus is the measure for Pareto-optimality. The main finding is that consumer suprlus as well as producer surplus increase with the variance of marginal costs. The third chapter analyzes the relationship between the cost structure and market concentration measured by the Herfindahl-Hirschman Index. Market concentration increases with the variance of marginal costs as well as the mean of marginal costs. Chapter four analyzes welfare implications of present antitrust enforcement policy on basis of the same theoretical model. European as well as the US Merger Guidelines presume a negative impact of market concentration on the competitiveness of the market and, therefore, on the efficiency of the market outcome. The results of the previous chapters indicate that this assumption is false. The main finding is that post-merger joint profit of the insider increase with the size of the merger. Moreover, there is a negative relationship between the size of the merger and efficiency of the market outcome. Present antitrust enforcement policy increases the disparity of output levels and enforces the removal of the least efficient firm of the market. The welfare gains can be traced back on these two effects. Therefore, neither a minimum of market concentration nor a maximum of product diversity is necessarily welfare enhancing even in absence of fixed costs.
Like many other social insect societies, honeybees collectively share the resources they gather by feeding each other. These feeding contacts, known as trophallaxis, are regarded as the fundamental basis for social behavior in honeybees and other social insects for assuring the survival of the individual and the welfare of the group. In honeybees, where most of the trophallactic contacts are formed in the total darkness of the hive, the antennae play a decisive role in initiation and maintenance of the feeding contact, because they are sensitive to gustatory stimuli. The sequences of behaviors performed by the receiver bees at the beginning of a feeding contact includes the contact of one antenna with the mouthparts of a donor bee where the regurgitated food is located. The antennal motor action is characterized by behavioral asymmetry, which is novel among communicative motor actions in invertebrates. This preference of right over left antenna is without exception even after removal of the antennal flagellum. This case of laterality in basic social interaction might have its reason in the gustatory asymmetry in the antennae, because the right antenna turns out to be significantly more sensitive to stimulation with sugar water of various concentrations than the left one. Trophallactic contacts which guarantee a constant access to food for every individual in the hive are vitally important to the honeybee society, because honeybees are heterothermic insects which actively regulate their thoracic temperature. Even though the individual can regulate its body temperature, its heating performance is strictly limited by the amount of sugar ingested. The reason for this is that honeybees use mostly the glucose in their hemolymph as the energy substrate for muscular activity, and the heat producing flight muscles are among the metabolically most active tissues known. The fuel for their activity is honey; processed nectar with a sugar content of ~80% stored in the honeycomb. The results show that the sugar content of the ingested food correlates positively with the thoracic temperature of the honeybees even if they are caged and show no actual heating-related behavior as in brood warming or heating in the centre of the winter cluster. Honeybees actively regulate their brood temperature by heating to keep the temperature between 33 °C to 36 °C if ambient temperatures are lower. Heating rapidly depletes the worker’s internal energy; therefore the heating performance is limited by the honey that is ingested before the heating process. This study focused on the behavior and the thoracic temperature of the participants in trophallactic food exchanges on the brood comb. The brood area is the centre of heating activity in the hive, and therefore the region of highest energy demand. The results show that the recipients in a trophallactic food exchange have a higher thoracic temperature during feeding contacts than donors, and after the feeding contact the former engage in brood heating more often. The donor bees have lower thoracic temperature and shuttle constantly between honey stores and the brood comb, where they transfer the stored honey to heating bees. In addition, the results show a heat-triggered mechanism that enables donor and recipient to accomplish trophallactic contacts without delay in the total darkness of the hive in the brood area as the most energy consuming part of the hive. Providing heat-emitting workers with small doses of high performance fuel contributes to an economic distribution of resources consistent with the physiological conditions of the bees and the ecological requirements of the hive, resulting in a highly economical resource management system which might be one of the factors favouring the evolution of perennial bee colonies in temperate regions. The conclusion of these findings suggests a resource management strategy that has evolved from submissive placation behavior as it is seen in honeybees, bumblebees and other hymenopterans. The heat-triggered feedback mechanism behind the resource management of the honeybee´s thermoregulatory behavior reveals a new aspect of the division of labor and a new aspect of communication, and sheds new light on sociality in honeybees.
The spectroscopic properties of molecular aggregates have been investigated by means of quantum dynamical calculations. Thereby both linear and nonlinear spectroscopic techniques have been taken into account. For the simulation of absorption and CD-spectra, coupling effects were regarded as well as the relative orientation of the monomer units in order to determine the parameters by reproducing measured spectra. For a more detailled description, results from quantum chemical calculations have also been included. Furthermore, investigations on nonlinear spectroscopy of molecular dimers have been performed.
Platelet activation induces cytoskeletal rearrangements involving a change from discoid to spheric shape, secretion, and eventually adhesion and spreading on immobilized ligands. Small GTPases of the Rho family, such as Rac1 and Cdc42, are known to be involved in these processes by facilitating the formation of lamellipodia and filopodia, respectively. This thesis focuses on the role Rac1 and Cdc42 for platelet function and formation from their precursor cells, the megakaryocytes (MKs), using conditional knock-out mice. In the first part of the work, the involvement of Rac1 in the activation of the enzyme phospholipase (PL) C2 in the signaling pathway of the major platelet collagen receptor glycoprotein (GP) VI was investigated. It was found that Rac1 is essential for PLC2 activation independently of tyrosine phosphorylation of the enzyme, resulting in a specific platelet activation defect downstream of GPVI, whereas signaling of other activating receptors remains unaffected. Since Rac1-deficient mice were protected from arterial thrombosis in two different in vivo models, the GTPase might serve as a potential target for the development of new drugs for the treatment and prophylaxis of cardio- and cerebrovascular diseases. The second part of the thesis deals with the first characterization of MK- and platelet-specific Cdc42 knock-out mice. Cdc42-deficient mice displayed mild thrombo-cytopenia and platelet production from mutant MKs was markedly reduced. Unexpectedly, Cdc42-deficient platelets showed increased granule content and release upon activation, leading to accelerated thrombus formation in vitro and in vivo. Furthermore, Cdc42 was not generally required for filopodia formation upon platelet activation. Thus, these results indicate that Cdc42, unlike Rac1, is involved in multiple signaling pathways essential for proper platelet formation and function. Finally, the outcome of combined deletion of Rac1 and Cdc42 was studied. In contrast to single deficiency of either GTPase, platelet production from double-deficient MKs was virtually abrogated, resulting in dramatic macrothrombocytopenia in the animals. Formed platelets were largely non-functional leading to a severe hemostatic defect and defective thrombus formation in double-deficient mice in vivo. These results demonstrate for the first time a functional redundancy of Rac1 and Cdc42 in the hematopoietic system.