Variational Monte Carlo study of the hydrogen electronic structure at ultra-high pressure

Die causa finalis der vorliegenden Arbeit ist das Verständnis des Phasendiagramms von Wasserstoff bei ultrahohen Drücken, welche von nichtleitendem H2 bis hin zu metallischem H reichen. Da die Voraussetzungen für ultrahohen Druck im Labor schwer zu schaffen sind, bilden Computersimulationen ein wichtiges alternatives Untersuchungsinstrument. Allerdings sind solche Berechnungen eine große Herausforderung. Eines der größten Probleme ist die genaue Auswertung des Born-Oppenheimer Potentials, welches sowohl für die nichtleitende als auch für die metallische Phase geeignet sein muss. Außerdem muss es die starken Korrelationen berücksichtigen, die durch die kovalenten H2 Bindungen und die eventuellen Phasenübergänge hervorgerufen werden. Auf dieses Problem haben unsere Anstrengungen abgezielt. Im Kontext von Variationellem Monte Carlo (VMC) ist die Shadow Wave Function (SWF) eine sehr vielversprechende Option. Aufgrund ihrer Flexibilität sowohl lokalisierte als auch delokalisierte Systeme zu beschreiben sowie ihrer Fähigkeit Korrelationen hoher Ordnung zu berücksichtigen, ist sie ein idealer Kandidat für unsere Zwecke. Unglücklicherweise bringt ihre Formulierung ein Vorzeichenproblem mit sich, was die Anwendbarkeit limitiert. Nichtsdestotrotz ist es möglich diese Schwierigkeit zu umgehen indem man die Knotenstruktur a priori festlegt. Durch diesen Formalismus waren wir in der Lage die Beschreibung der Elektronenstruktur von Wasserstoff signifikant zu verbessern, was eine sehr vielversprechende Perspektive bietet. Während dieser Forschung haben wir also die Natur des Vorzeichenproblems untersucht, das sich auf die SWF auswirkt, und dabei ein tieferes Verständnis seines Ursprungs erlangt. Die vorliegende Arbeit ist in vier Kapitel unterteilt. Das erste Kapitel führt VMC und die SWF mit besonderer Ausrichtung auf fermionische Systeme ein. Kapitel 2 skizziert die Literatur über das Phasendiagramm von Wasserstoff bei ultrahohem Druck. Das dritte Kapitel präsentiert die Implementierungen unseres VMC Programms und die erhaltenen Ergebnisse. Zum Abschluss fasst Kapitel 4 unsere Bestrebungen zur Lösung des zur SWF zugehörigen Vorzeichenproblems zusammen.

Influence of pollination and seed dispersal on the genetic population structure of two Commiphora species in Madagascar and South Africa

Pollination and seed dispersal are important ecological processes for the regeneration of plant populations and both vectors for gene exchange between plant populations. For my thesis, I studied the pollination ecology of the South African tree Commiphora harveyi (Burseraceae) and compared it with C. guillauminii from Madagascar. Both species have low visitation rates and a low number of pollinating insect species, resulting in a low fruit set. While their pollination ecology is very similar, they differ in their seed dispersal with a low seed dispersal rate in the Malagasy and a high seed dispersal rate in the South African species. This should be reflected in a stronger genetic differentiation among populations in the Malagasy than in the South African species. My results, based on AFLP markers, contradict these expectations, the overall differentiation was lower in the Malagasy (FST = 0.05) than in the South African species (FST = 0.16). However, at a smaller spatial scale (below 3 km), the Malagasy species was genetically more strongly differentiated than the South African species, which was reflected by the high inter-population variance within the sample site (C. guillauminii: 72.2 - 85.5 %; C. harveyi: 8.4 - 14.5 %). This strong differentiation could arise from limited gene flow, which was confirmed by spatial autocorrelation analyses. The shape of the autocorrelogram suggested that gene exchange between individuals occurred only up to 3 km in the Malagasy species, whereas up to 30 km in the South African species. These results on the genetic structure correspond to the expectations based on seed dispersal data. Thus, seed dispersal seems to be a key factor for the genetic structure in plant populations on a local scale.

Anaerobic pathways in the Porifera: Strombine dehydrogenase, an opine dehydrogenase, from the sponge Suberites domuncula

The study presented here encompasses identification, analysis and characterization of the strombine dehydrogenase (StDH) from the sponge S. domuncula, on the gene and protein level. StDH is an opine dehydrogenase which is involved in opine production pathways found mainly in marine invertebrates. These anaerobic pathways are regarded as analogues to the classical anaerobic glycolytic pathway (lactate production pathway), which is predominant in vertebrates. The StDH was previously annotated as a tauropine dehydrogenase (TaDH) on the basis of its 68% identity with the TaDH protein from Halichondria japonica. Subsequent enzymatic assays showed that S. domuncula opine dehydrogenase is in fact strombine dehydrogenase which possesses specific characteristics not found in other proteins of the same family. It is described here for the first time the StDH gene in Eukaryotes. Two allelic variants have been identified which are present in the different specimens either as a homozygotic or a heterozygotic. Phylogenetic analyses supported with enzymatic assays indicate that S. domuncula StDH is only distantly related to the opine dehydrogenases from marine invertebrates. StDH showed that the protein is highly specific to glycine and inhibited by the substrate pyruvate. Furthermore, S. domunucla StDH has a dimeric structure (~75 kDa) which is not observed in so far described OpDHs that are monomeric proteins. This enzyme showed similarities to the OCD/mu-cristallyin protein family. Results showed that a sponge StDH is unusual enzyme that belongs to the independent enzyme class. In addition, expression studies revealed that the StDH is down-regulated with aeration. Immunohistology analyses showed high expression of the protein in almost all sponge cells. A strong accumulation of the enzyme was seen around the bacteria indicating that under aerobic conditions the bacteria might metabolize strombine (end product of the reaction). In conclusion, the data documented here shed new light on the anaerobic pathways in marine invertebrates. Potential mutual influences between bacteria and sponge are discussed as well. Hopefully, these results could have a small but important contribution to the better understanding of the evolution in the animal kingdom.

Computer simulation methods to study interfacial tensions : from the Ising model to colloidal crystals

In condensed matter systems, the interfacial tension plays a central role for a multitude of phenomena. It is the driving force for nucleation processes, determines the shape and structure of crystalline structures and is important for industrial applications. Despite its importance, the interfacial tension is hard to determine in experiments and also in computer simulations. While for liquid-vapor interfacial tensions there exist sophisticated simulation methods to compute the interfacial tension, current methods for solid-liquid interfaces produce unsatisfactory results.rnrnAs a first approach to this topic, the influence of the interfacial tension on nuclei is studied within the three-dimensional Ising model. This model is well suited because despite its simplicity, one can learn much about nucleation of crystalline nuclei. Below the so-called roughening temperature, nuclei in the Ising model are not spherical anymore but become cubic because of the anisotropy of the interfacial tension. This is similar to crystalline nuclei, which are in general not spherical but more like a convex polyhedron with flat facets on the surface. In this context, the problem of distinguishing between the two bulk phases in the vicinity of the diffuse droplet surface is addressed. A new definition is found which correctly determines the volume of a droplet in a given configuration if compared to the volume predicted by simple macroscopic assumptions.rnrnTo compute the interfacial tension of solid-liquid interfaces, a new Monte Carlo method called ensemble switch method'' is presented which allows to compute the interfacial tension of liquid-vapor interfaces as well as solid-liquid interfaces with great accuracy. In the past, the dependence of the interfacial tension on the finite size and shape of the simulation box has often been neglected although there is a nontrivial dependence on the box dimensions. As a consequence, one needs to systematically increase the box size and extrapolate to infinite volume in order to accurately predict the interfacial tension. Therefore, a thorough finite-size scaling analysis is established in this thesis. Logarithmic corrections to the finite-size scaling are motivated and identified, which are of leading order and therefore must not be neglected. The astounding feature of these logarithmic corrections is that they do not depend at all on the model under consideration. Using the ensemble switch method, the validity of a finite-size scaling ansatz containing the aforementioned logarithmic corrections is carefully tested and confirmed. Combining the finite-size scaling theory with the ensemble switch method, the interfacial tension of several model systems, ranging from the Ising model to colloidal systems, is computed with great accuracy.

Preparation and functional characterisation of recombinant silicatein-alpha from the sponge Suberites domuncula

The marine world is an immense source of biodiversity that provides substances with striking potentials in medicinal chemistry and biotechnology. Sponges (Porifera) are marine animals that represent the most impressive example of organisms possessing the ability to metabolise silica through a family of enzymes known as silicateins. Complex skeletal structures (spicules) made of pure biogenic silica (biosilica) are produced under physiological conditions. Biosilica is a natural material comprising inorganic and organic components with unique mechanical, optical, and physico-chemical properties, including promising potential to be used for development of therapeutic agents in regenerative medicine. Unravelling the intimate physiological mechanisms occurring in sponges during the construction of their siliceous spicules is an on-going project, and several questions have been addressed by the studies proposed by our working group. In this doctoral work, the recombinant DNA technology is exploited for functional and structural characterisation of silicatein. Its precursors are produced as fusion proteins with a chaperone tag (named TF-Ps), and a robust method for the overexpression of native soluble proteins in high concentrations has been developed. In addition, it is observed and proven experimentally that the maturation of silicatein is an autocatalytic event that: (i) can be modulated by rational use of protease inhibitors; (ii) is influenced by the temperature of the environment; (iii) only slightly depends on the pH. In the same experimental framework, observations on the dynamics in the maturation of silicateins allow a better understanding of how the axial filaments form during the early stages of spicule construction. In addition, the definition of new distinct properties of silicatein (termed “structure-guiding” and “structure-forming”) is introduced. By homology models and through comparisons with similar proteins (the cathepsins), domains with significant surface hydrophobicity are identified as potential self-assembly mediators. Moreover, a high-throughput screening showed that TF-Ps could generate crystals under certain conditions, becoming promising for further structural studies. With the goal of optimise the properties of the recombinant silicatein, implementation of new production systems are tried for the first time. Success in the expression of silicatein-type proteins in insect and yeast cells, constitute a promising basis for further development, towards the establishment of an efficient method for the production of a high-value pure and soluble protein.

3D-ultrastructure, functions and stress responses of rhogocytes from the freshwater gastropods Biomphalaria glabrata and Lymnaea stagnalis

Rhogocytes, also termed ‘pore cells’, exist free in the hemolymph or embedded in the connective tissue of different body parts of molluscs, notably gastropods. These unique cells can be round, elongated or irregularly shaped, and up to 30 μm in diameter. Their hallmark is the so-called slit apparatus: i.e. pocket-like invaginations of the plasma membrane creating extracellular lacunae, bridged by cytoplasmic bars. These bars form distinctive slits of ca. 20 nm width. A slit diaphragm composed of proteins establishes a molecular sieve with holes of 20 x 20 nm. Different functions have been assigned to this special molluscan cell type, notably biosynthesis of the hemolymph respiratory protein hemocyanin. It has further been proposed, but not proven, that in the case of red-blooded snail species rhogocytes might synthesize the hemoglobin. However, the secretion pathway of these hemolymph proteins, and the functional role of the enigmatic slit apparatus remained unclear. Additionally proposed functions of rhogocytes, such as heavy metal detoxification or hemolymph protein degradation, are also not well studied. This work provides more detailed electron microscopical, histological and immunobiochemical information on the structure and function of rhogocytes of the freshwater snails Biomphalaria glabrata and Lymnaea stagnalis. By in situ hybridization on mantle tissues, it proves that B. glabrata rhogocytes synthesize hemoglobin and L. stagnalis rhogocytes synthesize hemocyanin. Hemocyanin is present, in endoplasmic reticulum lacunae and in vesicles, as individual molecules or pseudo-crystalline arrays. The first 3D reconstructions of rhogocytes are provided by means of electron tomography and show unprecedented details of the slit apparatus. A highly dense material in the cytoplasmic bars close to the diaphragmatic slits was shown, by immunogold labeling, to contain actin. By immunofluorescence microscopy, the protein nephrin was localized at the periphery of rhogocytes. The presence of both proteins in the slit apparatus supports the previous hypothesis, hitherto solely based on similarities of the ultrastructure, that the molluscan rhogocytes are phylogenetically related to mammalian podocytes and insect nephrocytes. A possible secretion pathway of respiratory proteins that includes a transfer mechanism of vesicles through the diaphragmatic slits is proposed and discussed. We also studied, by electron microscopy, the reaction of rhogocytes in situ to two forms of animal stress: deprivation of food and cadmium contamination of the tank water. Significant cellular reactions to both stressors were observed and documented. Notably, the slit apparatus surface and the number of electron-dense cytoplasmic vesicles increased in response to cadmium stress. Food deprivation led to an increase in hemocyanin production. These observations are also discussed in the framework of using such animals as potential environmental biomarkers.