Festkörper-NMR-Spektroskopie

Die innerhalb dieser Arbeit mittels moderner Festkörper-NMR-Methoden untersuchte molekulare Dynamik in Poly(methacrylat)-Schmelzen und Polyphenylen-Dendrimeren ist durch eine bemerkenswerte Anisotropie gekennzeichnet.Die Anisotropie der molekularen Dynamik zeigt sich in geschmolzenen, ataktischen und isotaktischen Poly(ethylmethacrylaten) (PEMA) durch die Zeitskalenseparation der segmentellen alpha-Relaxation von einem etwa zwei Größenordnungen langsameren Relaxationsprozeß, welcher die Isotropisierung der Polymerhauptkette wiedergibt. Die Isotropisierungsdynamik der Polymerhauptkette wird - mit Ausnahme von PMMA - durch eine universelle, nicht-korrelationszeitenverteilte Relaxationsmode der Poly(methacrylate) quantifiziert, deren Temperaturabhängigkeit durch einen einheitlichen WLF-Parametersatz beschrieben werden kann. Geometrisch läßt sich die Isotropisierung der Hauptkette durch Sprungprozesse beliebiger Amplitude von Kettenstücken mit gestreckter all-trans-Konformation interpretieren. Die Kette zeigt eine außergewöhnliche konformative Stabilität. WAXS-Messungen deuten für PEMA und seine höheren Homologen die Existenz einer Schichtstruktur an, in der sich die steifen, polaren Hauptketten lokal in Monolagen anordnen, welche durch Bereiche zusammengelagerter Seitengruppen getrennt sind. Die Festkörper-NMR-Untersuchungen an Polyphenylen-Dendrimeren bringen zwei zentrale Aspekte in der wechselseitigen Beziehung von Struktur und Dynamik hervor. Zum einen ist die beobachtete molekulare Dynamik auf lokale Reorientierungen einzelner, terminaler Phenylringe um definierte Achsen beschränkt. Polyphenylen-Dendrimermoleküle sind unter diesen Bewegungen formstabil. Zum anderen können sowohl schnelle, als auch langsame Phenylreorientierungen nachgewiesen werden, wobei jeweils die intramolekulare Packungsdichte der Phenylringe das dynamische Verhalten der Polyphenylen-Dendrimere kontrolliert.

Partial melting within the lower crust – Constraints from bulk rock geochemical data and trace element mineral analyses of granulites and migmatites from Central Finland

This PhD thesis concerns geochemical constraints on recycling and partial melting of Archean continental crust. A natural example of such processes was found in the Iisalmi area of Central Finland. The rocks from this area are Middle to Late Archean in age and experienced metamorphism and partial melting between 2.7-2.63 Ga. The work is based on extensive field work. It is furthermore founded on bulk rock geochemical data as well as in-situ analyses of minerals. All geochemical data were obtained at the Institute of Geosciences, University of Mainz using X-ray fluorescence, solution ICP-MS and laser ablation-ICP-MS for bulk rock geochemical analyses. Mineral analyses were accomplished by electron microprobe and laser ablation ICP-MS. Fluid inclusions were studied by microscope on a heating-freezing-stage at the Geoscience Center, University Göttingen. Part I focuses on the development of a new analytical method for bulk rock trace element determination by laser ablation-ICP-MS using homogeneous glasses fused from rock powder on an Iridium strip heater. This method is applicable for mafic rock samples whose melts have low viscosities and homogenize quickly at temperatures of ~1200°C. Highly viscous melts of felsic samples prevent melting and homogenization at comparable temperatures. Fusion of felsic samples can be enabled by addition of MgO to the rock powder and adjustment of melting temperature and melting duration to the rock composition. Advantages of the fusion method are low detection limits compared to XRF analyses and avoidance of wet-chemical processing and use of strong acids as in solution ICP-MS as well as smaller sample volumes compared to the other methods. Part II of the thesis uses bulk rock geochemical data and results from fluid inclusion studies for discrimination of melting processes observed in different rock types. Fluid inclusion studies demonstrate a major change in fluid composition from CO2-dominated fluids in granulites to aqueous fluids in TTG gneisses and amphibolites. Partial melts were generated in the dry, CO2-rich environment by dehydration melting reactions of amphibole which in addition to tonalitic melts produced the anhydrous mineral assemblages of granulites (grt + cpx + pl ± amph or opx + cpx + pl + amph). Trace element modeling showed that mafic granulites are residues of 10-30 % melt extraction from amphibolitic precursor rocks. The maximum degree of melting in intermediate granulites was ~10 % as inferred from modal abundances of amphibole, clinopyroxene and orthopyroxene. Carbonic inclusions are absent in upper-amphibolite facies migmatites whereas aqueous inclusion with up to 20 wt% NaCl are abundant. This suggests that melting within TTG gneisses and amphibolites took place in the presence of an aqueous fluid phase that enabled melting at the wet solidus at temperatures of 700-750°C. The strong disruption of pre-metamorphic structures in some outcrops suggests that the maximum amount of melt in TTG gneisses was ~25 vol%. The presence of leucosomes in all rock types is taken as the principle evidence for melt formation. However, mineralogical appearance as well as major and trace element composition of many leucosomes imply that leucosomes seldom represent frozen in-situ melts. They are better considered as remnants of the melt channel network, e.g. ways on which melts escaped from the system. Part III of the thesis describes how analyses of minerals from a specific rock type (granulite) can be used to determine partition coefficients between different minerals and between minerals and melt suitable for lower crustal conditions. The trace element analyses by laser ablation-ICP-MS show coherent distribution among the principal mineral phases independent of rock composition. REE contents in amphibole are about 3 times higher than REE contents in clinopyroxene from the same sample. This consistency has to be taken into consideration in models of lower crustal melting where amphibole is replaced by clinopyroxene in the course of melting. A lack of equilibrium is observed between matrix clinopyroxene / amphibole and garnet porphyroblasts which suggests a late stage growth of garnet and slow diffusion and equilibration of the REE during metamorphism. The data provide a first set of distribution coefficients of the transition metals (Sc, V, Cr, Ni) in the lower crust. In addition, analyses of ilmenite and apatite demonstrate the strong influence of accessory phases on trace element distribution. Apatite contains high amounts of REE and Sr while ilmenite incorporates about 20-30 times higher amounts of Nb and Ta than amphibole. Furthermore, trace element mineral analyses provide evidence for magmatic processes such as melt depletion, melt segregation, accumulation and fractionation as well as metasomatism having operated in this high-grade anatectic area.

Entwicklung von molekularen Sonden für die sichere Identifizierung von Hefen der Gattungen Brettanomyces, Dekkera

Hefen der Gattungen Brettanomyces/Dekkera sind in der Produktion von fermentierten Getränken, insbesondere in der Bier-, Sekt- und Weinherstellung bekannt. Sie können als Schädlingshefen insbesondere durch die Bildung von charakteristischen Sekundärmetaboliten zu einer negativen geschmacklichen Veränderung des Getränks führen. Aufgrund ihres langsamen Wachstums werden diese Hefen bei Routineanalysen mit konventionellen Kultivierungsmethoden leicht übersehen. Ein schneller und eindeutiger Nachweis von Brettanomyces/Dekkera-Hefen ist bis heute problematisch. In der vorliegenden Arbeit wurde eine Methode zur sicheren Detektion und Identifizierung aller fünf bekannten Spezies dieser Gattungen entwickelt. Die Fluoreszenz in situ Hybridisierung (FISH) mit Cy3-markierten DNA-Sonden ermöglichte einen direkten mikroskopischen Nachweis dieser Mikroorganismen in der Untersuchungsprobe. Im Hinblick auf die Generierung Art-spezifischer Sonden wurden die ribosomalen Gen-Cluster der verschiedenen Spezies hinsichtlich potentieller Zielregionen analysiert. Eine signifikante Steigerung des Sonden-vermittelten Fluoreszenz-Signals konnte durch die Anwendung eines neuen Sonden-Konzepts (Gemeinschafts-Sonden) auf hochvariable Bereichen der 26S rRNAs, unter Berücksichtigung ihrer Sekundärstrukturen, realisiert werden. Die Untersuchung der regionalen Verbreitung dieser Hefen in der Weinbauregion Rheinhessen ergab, dass bei 15 % der untersuchten Winzerbetriebe D. bruxellensis in Rotweinproben vorhanden war. Insgesamt konnten bei den Probenuntersuchungen aus 299 Weinen 44 D. bruxellensis-Stämme isoliert werden. Im Rahmen dieser Arbeit wurden darüber hinaus verschiedene Vitalitätsfärbungen hinsichtlich ihrer Anwendbarkeit auf Brettanomyces/Dekkera evaluiert und eine Differenzierung dieser Hefen durch einen physiologischen Mikrotiterplatten-Test (Biolog, USA) überprüft.

Oligomerization and protein-protein interactions of the sensory histidine kinase DcuS in Escherichia coli

DcuS is a membrane-integral sensory histidine kinase involved in the DcuSR two-component regulatory system in Escherichia coli by regulating the gene expression of C4-dicarboxylate metabolism in response to external stimuli. How DcuS mediates the signal transduction across the membrane remains little understood. This study focused on the oligomerization and protein-protein interactions of DcuS by using quantitative Fluorescence Resonance Energy Transfer (FRET) spectroscopy. A quantitative FRET analysis for fluorescence spectroscopy has been developed in this study, consisting of three steps: (1) flexible background subtraction to yield background-free spectra, (2) a FRET quantification method to determine FRET efficiency (E) and donor fraction (fD = [donor] / ([donor]+[acceptor])) from the spectra, and (3) a model to determine the degree of oligomerization (interaction stoichiometry) in the protein complexes based on E vs. fD. The accuracy and applicability of this analysis was validated by theoretical simulations and experimental systems. These three steps were integrated into a computer procedure as an automatic quantitative FRET analysis which is easy, fast, and allows high-throughout to quantify FRET accurately and robustly, even in living cells. This method was subsequently applied to investigate oligomerization and protein-protein interactions, in particular in living cells. Cyan (CFP) and yellow fluorescent protein (YFP), two spectral variants of green fluorescent protein, were used as a donor-acceptor pair for in vivo measurements. Based on CFP- and YFP-fusions of non-interacting membrane proteins in the cell membrane, a minor FRET signal (E = 0.06 ± 0.01) can be regarded as an estimate of direct interaction between CFP and YFP moieties of fusion proteins co-localized in the cell membrane (false-positive). To confirm if the FRET occurrence is specific to the interaction of the investigated proteins, their FRET efficiency should be clearly above E = 0.06. The oligomeric state of DcuS was examined both in vivo (CFP/YFP) and in vitro (two different donor-acceptor pairs of organic dyes) by three independent experimental systems. The consistent occurrence of FRET in vitro and in vivo provides the evidence for the homo-dimerization of DcuS as full-length protein for the first time. Moreover, novel interactions (hetero-complexes) between DcuS and its functionally related proteins, citrate-specific sensor kinase CitA and aerobic dicarboxylate transporter DctA respectively, have been identified for the first time by intermolecular FRET in vivo. This analysis can be widely applied as a robust method to determine the interaction stoichiometry of protein complexes for other proteins of interest labeled with adequate fluorophores in vitro or in vivo.

On the development of novel cocaine-analogues for in vivo imaging of the dopamine transporter status

The present thesis is concerned with the development of novel cocaine-derived dopamine transporter ligands for the non-invasive exploration of the striatal and extra-striatal dopamine transporter (DAT) in living systems. The presynaptic dopamine transporter acquires an important function within the mediation of dopaminergic signal transduction. Its availability can serve as a measure for the overall integrity of the dopaminergic system. The DAT is upregulated in early Parkinson’s disease (PD), resulting in an increased availability of DAT-binding sites in the striatal DAT domains. Thereby, DAT imaging has become an important routine diagnostic tool for the early diagnosis of PD in patients, as well as for the differentiation of PD from symptomatically similar medical conditions. Furthermore, the dopaminergic system is involved in a variety of psychiatric diseases. In this regard, DAT-selective imaging agents may provide detailed insights into the scientific understanding of the biochemical background of both, the progress as well as the origins of the symptoms. DAT-imaging may also contribute to the determination of the dopaminergic therapeutic response for a given medication and thereby contribute to more convenient conditions for the patient. From an imaging point of view, the former demands a high availability of the radioactive probe to facilitate broad application of the modality, whereas the latter profits from short-lived probes, suitable for multi-injection studies. Therefore, labelling with longer-lived 18F-fluoride and in particular the generator nuclide 68Ga is worthwhile for clinical routine imaging. In contrast, the introduction of a 11C-label is a prerequisite for detailed scientific studies of neuronal interactions. The development of suitable DAT-ligands for medical imaging has often been complicated by the mixed binding profile of many compounds that that interact with the DAT. Other drawbacks have included high non-specific binding, extensive metabolism and slow accumulation in the DAT-rich brain areas. However, some recent examples have partially overcome the mentioned complications. Based on the structural speciality of these leads, novel ligand structures were designed and successfully synthesised in the present work. A structure activity relationship (SAR) study was conducted wherein the new structural modifications were examined for their influence on DAT-affinity and selectivity. Two of the compounds showed improvements in in vitro affinity for the DAT as well as selectivity versus the serotonin transporter (SERT) and norepinephrine transporter (NET). The main effort was focussed on the high-affinity candidate PR04.MZ, which was subsequently labelled with 18F and 11C in high yield. An initial pharmacological characterisation of PR04.MZ in rodents revealed highly specific binding to the target brain structures. As a result of low non-specific binding, the DAT-rich striatal area was clearly visualised by autoradiography and µPET. Furthermore, the radioactivity uptake into the DAT-rich brain regions was rapid and indicated fast binding equilibrium. No radioactive metabolite was found in the rat brain. [18F]PR04.MZ and [11C]PR04.MZ were compared in the primate brain and the plasma metabolism was studied. It was found that the ligands specifically visualise the DAT in high and low density in the primate brain. The activity uptake was rapid and quantitative evaluation by Logan graphical analysis and simplified reference tissue model was possible after a scanning time of 30 min. These results further reflect the good characteristics of PR04.MZ as a selective ligand of the neuronal DAT. To pursue 68Ga-labelling of the DAT, initial synthetic studies were performed as part of the present thesis. Thereby, a concept for the convenient preparation of novel bifunctional chelators (BFCs) was developed. Furthermore, the suitability of novel 1,4,7-triazacyclononane based N3S3-type BFCs for biomolecule-chelator conjugates of sufficient lipophilicity for the penetration of the blood-brain-barrier was elucidated.

Effect of mixing, particle interaction, and spatial dimension on the glass transition

In this thesis, the influence of composition changes on the glass transition behavior of binary liquids in two and three spatial dimensions (2D/3D) is studied in the framework of mode-coupling theory (MCT).The well-established MCT equations are generalized to isotropic and homogeneous multicomponent liquids in arbitrary spatial dimensions. Furthermore, a new method is introduced which allows a fast and precise determination of special properties of glass transition lines. The new equations are then applied to the following model systems: binary mixtures of hard disks/spheres in 2D/3D, binary mixtures of dipolar point particles in 2D, and binary mixtures of dipolar hard disks in 2D. Some general features of the glass transition lines are also discussed. The direct comparison of the binary hard disk/sphere models in 2D/3D shows similar qualitative behavior. Particularly, for binary mixtures of hard disks in 2D the same four so-called mixing effects are identified as have been found before by Götze and Voigtmann for binary hard spheres in 3D [Phys. Rev. E 67, 021502 (2003)]. For instance, depending on the size disparity, adding a second component to a one-component liquid may lead to a stabilization of either the liquid or the glassy state. The MCT results for the 2D system are on a qualitative level in agreement with available computer simulation data. Furthermore, the glass transition diagram found for binary hard disks in 2D strongly resembles the corresponding random close packing diagram. Concerning dipolar systems, it is demonstrated that the experimental system of König et al. [Eur. Phys. J. E 18, 287 (2005)] is well described by binary point dipoles in 2D through a comparison between the experimental partial structure factors and those from computer simulations. For such mixtures of point particles it is demonstrated that MCT predicts always a plasticization effect, i.e. a stabilization of the liquid state due to mixing, in contrast to binary hard disks in 2D or binary hard spheres in 3D. It is demonstrated that the predicted plasticization effect is in qualitative agreement with experimental results. Finally, a glass transition diagram for binary mixtures of dipolar hard disks in 2D is calculated. These results demonstrate that at higher packing fractions there is a competition between the mixing effects occurring for binary hard disks in 2D and those for binary point dipoles in 2D.

Evolution of the sexual reproduction in Veronica (Plantaginaceae) : phylogeny, phylogeography and invasion

Die geschlechtliche Fortpflanzung ist ein universelles Merkmal und erlaubt es genetische Variation innerhalb von Blütenpflanzen zu schaffen. Die Evolution der sexuellen und reproduktiven Systeme wurde hier auf mehreren zeitlichen Ebenen, in verschiedenen Arten von Lebensraum studiert und mit fast allen möglichen Methoden im Labor, im Gewächshaus sowie im Feld untersucht. Drei Hauptteile sind in dieser Arbeit enthalten und entsprechen jeweils einem unterschiedlichen Niveau der Zeit: Gattung, Untergattung und Arten. Der erste Teil zeigt, dass die PO-Verhältnisse Untersuchungen systematisch in jeder Pflanzen-Gattung oder Untergattung untersucht werden müssen. Dieses güngstige, schnelle und leistungsstarke Werkzeug kann eine Vielzahl von Informationen über die Modi der Pflanzenreproduktion produzieren, ohne die Verwendung von teuren und langen Experimenten. Darüber hinaus könnte diese Maßnahme auch ergänzende Daten über die Taxonomie dieser untersuchten Gruppen geben. Das zweite Kapitel befasst sich mehr mit der Taxonomie der Ehrenpreis(Veronica)-Arten als die beiden anderen und zeigt, dass verschiedene Ereignisse der interspezifischen Reproduktion in einem der Hotspots der Artenvielfalt in Europa (der Balkan-Halbinsel) auftreten. Die Ergebnisse zeigen, dass morphologische und genetische Daten inkongruent sind und die Analyse der Taxonomie dieser Arten oder Unterart schwierig ist. Das letzteKapitel erzählt die Geschichte einer erfolgreichen Invasion, die während des letzten Jahrhunderts in Europa ablief trotz der Tatsache, dass die Arten obligate Fremdbefruchter sind und dass keine Samen-Produktion in der Region beobachtet wurde. Dieses Manuskript erläutert den Weg der Pflanze, um die “Baker-Regel“ zu umgehen. Diese Regel besagt, dass selbst-inkompatible Arten erfolgloser bei der Invasion neuer Lebensräume sind. Dennoch schafft es die hier untersuchte Art einen großen Teil der europäischen Rasen zu bevölkern und zeigt dabei genetische und morphologische Veränderungen auf diesem Weg.rnSchließlich wird in diesen drei verschiedenen Papieren versucht, die Verbindung zwischen der Mikro-und Makroevolution in der geschlechtlichen Fortpflanzun in Ehrenpreis (Veronica) unter Betracht verschiedener sexueller Systeme und der Stammesgeschichte, sowie der Migration zu klären.

Efficient certification of feasibility and objective value of linear programs and its applications

The use of linear programming in various areas has increased with the significant improvement of specialized solvers. Linear programs are used as such to model practical problems, or as subroutines in algorithms such as formal proofs or branch-and-cut frameworks. In many situations a certified answer is needed, for example the guarantee that the linear program is feasible or infeasible, or a provably safe bound on its objective value. Most of the available solvers work with floating-point arithmetic and are thus subject to its shortcomings such as rounding errors or underflow, therefore they can deliver incorrect answers. While adequate for some applications, this is unacceptable for critical applications like flight controlling or nuclear plant management due to the potential catastrophic consequences. We propose a method that gives a certified answer whether a linear program is feasible or infeasible, or returns unknown'. The advantage of our method is that it is reasonably fast and rarely answers unknown'. It works by computing a safe solution that is in some way the best possible in the relative interior of the feasible set. To certify the relative interior, we employ exact arithmetic, whose use is nevertheless limited in general to critical places, allowing us to rnremain computationally efficient. Moreover, when certain conditions are fulfilled, our method is able to deliver a provable bound on the objective value of the linear program. We test our algorithm on typical benchmark sets and obtain higher rates of success compared to previous approaches for this problem, while keeping the running times acceptably small. The computed objective value bounds are in most of the cases very close to the known exact objective values. We prove the usability of the method we developed by additionally employing a variant of it in a different scenario, namely to improve the results of a Satisfiability Modulo Theories solver. Our method is used as a black box in the nodes of a branch-and-bound tree to implement conflict learning based on the certificate of infeasibility for linear programs consisting of subsets of linear constraints. The generated conflict clauses are in general small and give good rnprospects for reducing the search space. Compared to other methods we obtain significant improvements in the running time, especially on the large instances.

Numerical analysis of the relation between interactions and structure in a molecular fluid

Coarse graining is a popular technique used in physics to speed up the computer simulation of molecular fluids. An essential part of this technique is a method that solves the inverse problem of determining the interaction potential or its parameters from the given structural data. Due to discrepancies between model and reality, the potential is not unique, such that stability of such method and its convergence to a meaningful solution are issues.rnrnIn this work, we investigate empirically whether coarse graining can be improved by applying the theory of inverse problems from applied mathematics. In particular, we use the singular value analysis to reveal the weak interaction parameters, that have a negligible influence on the structure of the fluid and which cause non-uniqueness of the solution. Further, we apply a regularizing Levenberg-Marquardt method, which is stable against the mentioned discrepancies. Then, we compare it to the existing physical methods - the Iterative Boltzmann Inversion and the Inverse Monte Carlo method, which are fast and well adapted to the problem, but sometimes have convergence problems.rnrnFrom analysis of the Iterative Boltzmann Inversion, we elaborate a meaningful approximation of the structure and use it to derive a modification of the Levenberg-Marquardt method. We engage the latter for reconstruction of the interaction parameters from experimental data for liquid argon and nitrogen. We show that the modified method is stable, convergent and fast. Further, the singular value analysis of the structure and its approximation allows to determine the crucial interaction parameters, that is, to simplify the modeling of interactions. Therefore, our results build a rigorous bridge between the inverse problem from physics and the powerful solution tools from mathematics. rn