Charakterisierung und Stabilität von Arthropoden-Hämocyanin

Hämocyanine sind große, multimere Sauerstofftransport- proteine, die frei gelöst in der Hämolymphe von Arthropoden und Mollusken vorkommen.Zur Charakterisierung verschiedener Arthropoden-hämocyanine wurden deren molare Massen bestimmt. Die mit einer Vielwinkel-Laser-Lichtstreuapparatur ermittelten Molekulargewichte zeigten eine grosse Schwankungsbreite. Dies konnte auf Ungenauigkeiten der zur Berechnung der Molekulargewichte verwendeten spezifischen Extinktions- koeffizienten und Brechungsindex-Inkremente zurückgeführt werden.Mit der Methode der Massenspektrometrie (MALDI-TOF) bestimmte Molekulargewichte einzelner Untereinheiten des Hämocyanins der Vogelspinne Eurypelma californicum zeigten eine sehr gute Übereinstimmung mit aus der Sequenz errechneten Werten.Für das 24-mere Spinnenhämocyanin von Eurypelma californicum wurde die Stabilität gegenüber GdnHCl und der Temperatur auf den verschiedenen strukturellen Ebenen des Proteins untersucht.Viele Stabilitätsuntersuchungen werden an kleinen Proteinen durchgeführt, deren Entfaltung kooperativerfolgt. Bei größeren Proteinen mit unterschiedlichen strukturellen Bereichen (Domänen) ist der Entfaltungs-prozess weitaus komplexer. Ziel war es, durch die Denaturierung des Spinnen-Hämocyanins Erkenntnisse über die Stabilität und Entfaltung der verschiedenen strukturellen Ebenen eines so großen Proteinkomplexes zu gewinnen.Ein wichtiges Charakteristikum für die Interpretation der Entfaltungsexperimente ist die starke Löschung der Tryptophanfluoreszenz im oxygenierten Spinnen-Hämocyanin. Die Löschung kann vollständig durch Förster-Transfer erklärt werden kann. Sie bleibt auf die einzelnen Untereinheiten beschränkt und stellt somit ein reines O₂-Beladungssignal dar.Unter Einwirkung von GdnHCl dissoziiert das native, 24-mere Spinnen-Hämocyanin ohne die Entstehung langlebiger Inter- mediate. Die Untereinheiten werden durch das Oligomer stabilisiert. Die Entfaltung eines Monomers, der Unter- einheit e, folgt einer Hierarchie der verschiedenen strukturellen Ebenen des Moleküls. Die Entfaltung beginnt zunächst von außen mit der Auflockerung der Tertiärstruktur. Der Kern von Domäne II mit dem aktiven Zentrum weist hingegen eine besondere Stabilität auf.Die ausgeprägte Hitzestabilität des Eurypelma-Hämocyanins hängt vom Oligomerisierungsgrad, dem verwendeten Puffer und dessen Ausgangs-pH-Wert ab und spiegelt offensichtlich die extremen Lebensbedingungen im Habitat wider.

A novel functional renormalization group framework for gauge theories and gravity

In this thesis we develop further the functional renormalization group (RG) approach to quantum field theory (QFT) based on the effective average action (EAA) and on the exact flow equation that it satisfies. The EAA is a generalization of the standard effective action that interpolates smoothly between the bare action for krightarrowinfty and the standard effective action rnfor krightarrow0. In this way, the problem of performing the functional integral is converted into the problem of integrating the exact flow of the EAA from the UV to the IR. The EAA formalism deals naturally with several different aspects of a QFT. One aspect is related to the discovery of non-Gaussian fixed points of the RG flow that can be used to construct continuum limits. In particular, the EAA framework is a useful setting to search for Asymptotically Safe theories, i.e. theories valid up to arbitrarily high energies. A second aspect in which the EAA reveals its usefulness are non-perturbative calculations. In fact, the exact flow that it satisfies is a valuable starting point for devising new approximation schemes. In the first part of this thesis we review and extend the formalism, in particular we derive the exact RG flow equation for the EAA and the related hierarchy of coupled flow equations for the proper-vertices. We show how standard perturbation theory emerges as a particular way to iteratively solve the flow equation, if the starting point is the bare action. Next, we explore both technical and conceptual issues by means of three different applications of the formalism, to QED, to general non-linear sigma models (NLsigmaM) and to matter fields on curved spacetimes. In the main part of this thesis we construct the EAA for non-abelian gauge theories and for quantum Einstein gravity (QEG), using the background field method to implement the coarse-graining procedure in a gauge invariant way. We propose a new truncation scheme where the EAA is expanded in powers of the curvature or field strength. Crucial to the practical use of this expansion is the development of new techniques to manage functional traces such as the algorithm proposed in this thesis. This allows to project the flow of all terms in the EAA which are analytic in the fields. As an application we show how the low energy effective action for quantum gravity emerges as the result of integrating the RG flow. In any treatment of theories with local symmetries that introduces a reference scale, the question of preserving gauge invariance along the flow emerges as predominant. In the EAA framework this problem is dealt with the use of the background field formalism. This comes at the cost of enlarging the theory space where the EAA lives to the space of functionals of both fluctuation and background fields. In this thesis, we study how the identities dictated by the symmetries are modified by the introduction of the cutoff and we study so called bimetric truncations of the EAA that contain both fluctuation and background couplings. In particular, we confirm the existence of a non-Gaussian fixed point for QEG, that is at the heart of the Asymptotic Safety scenario in quantum gravity; in the enlarged bimetric theory space where the running of the cosmological constant and of Newton's constant is influenced by fluctuation couplings.

Ectomycorrhizae of sessile oak (Quercus petraea (Matt.) Liebl.)

Investigations were performed during the years 1999 to 2001 on a limed and unlimed plot within a high-elevated sessile oak forest. The oak forest (with 90 years old European beech at the understorey) was 170 to 197 years old. It is located at forest district Merzalben, location 04/0705, which is situated in the Palatinate Forest in south-west Germany. Liming was performed in December 1988 when 6 tons/ha of powdered Dolomite were brought up by the forestry department. Liming was performed to counteract the effects of soil acidification (pH(H2O) at Horizon A (0-10 cm): 3.9), which is induced by long-term (anthropogenic) acidic cloud cover and precipitation. Potentially toxic Al3+ ions, which become solubilized below pH 5, were suspected to be responsible for forest dieback and sudden death of the mature oaks. The most logical entry point for these toxic ions was suspected to occur in the highly absorptive region of the ectomycorrhizae (fungal covered root tips). However, the diversity and abundance of oak-ectomycorrhizal species and their actual roles in aluminum translocation (or blockage) were unknown. It was hypothesized that the ectomycorrhizae of sessile oaks in a limed forest would exhibit greater seasonal diversity and abundance with less evidence of incorporated aluminum than similar oak ectomycorrhizae from unlimed soils. To test this hypothesis, 12 oaks in the limed plot and 12 in an adjacent unlimed plot were selected. Each spring and fall for 2 years (1999 & 2000), 2 sets of soil cylinders (9.9 cm dia.) were extracted from Horizon A (0-10 cm), Horizon B (30-40 cm) and Horizon C (50-60 cm depth) at a distance of 1 meter from each tree base. Roots were extracted from each probe by gentle sieving and rinsing. Soil samples were retained for pH (H2O, CaCl2, and KCl) and moisture analysis. One set of roots was sorted by size and air-dried for biomass analysis. The finest mycorrhizal roots of this set were used for bound and unbound (cytosolic) mineral [Al, Ca, Mg, K, Na, Mn, S, Zn, Fe, Cd and Pb] analysis (by Landwirtschaftliche Untersuchungs- und Forschungsanstalt Rheinland Palatinate (LUFA)). Within 7 days of collection, the mycorrhizal tips from the second set of probes were excised, sorted, identified (using Agerer’s Color Atlas), counted and weighed. Seasonal diversity and abundance was characterized for 50 of the 93 isolates. The location and relative abundance of Al within the fungal and root cell walls was characterized for 68 species using 0.01% Morin dye and fluorescence microscopy. Morin complexes with Al to produce an intense yellow fluorescence. The 4 most common species (Cenococcum geophilum, Quercirhiza fibulocsytidiata, Lactarius subdulcis, Piceirhiza chordata) were prepared for bound Al, Ca, Fe and K mineral analysis by LUFA. The unlimed and limed plots were then compared. Only 46 of the 93 isolated ectomycorrhizal species had been previously associated with oaks in the literature. Mycorrhizal biomass was most abundant in Horizon A, declining with depth, drought and progressive soil acidification. Mycorrhizae were most diverse (32 species) in the limed plot, but individual species abundance was low (R Selection) in comparison to the unlimed plot, where there were fewer species (24) but each species present was abundant (K Selection). Liming increased diversity and altered dominance hierarchy, seasonal distributions and succession trends of ectomycorrhizae at all depths. Despite an expected reduction in Al content, the limed ectomycorrhizae both qualitatively (fluorescence analysis) and quantitatively (mineral analysis) contained more bound Al, especially so in Horizon A. The Al content qualitatively and quantitatively increased with depth in the unlimed and limed plots. The bound Al content fluctuated between 4000-and 20000 ppm while the unbound component was consistently lower (4 -14 ppm). The relative amount of unbound Al declined upon liming implying less availability for translocation to the crown area of the trees. This correspouds with the findings of good crown appearance and lower tree mortality in the limed zone. Each ectomycorrhizal species was unique in its ability to block, sequester (hold) or translocate Aluminum. In several species, Al uptake varied with changes in moisture, pH, depth and liming. According to the fluorescence study, about 48% of the isolated ectomycorrhizal species blocked and/or sequestered (held) Al in their mantle and/or Hartig net walls, qualitatively lowering bound Al in the adjacent root cell walls. Generally, if Al was more concentrated in the fungal walls, it was less evident in the cortex and xylem and conversely, if Al was low or absent from the fungal walls it was frequently more evident in the cortex and xylem.