Factorization method and inclusions of mixed type in an inverse elliptic boundary value problem

In various imaging problems the task is to use the Cauchy data of the solutions to an elliptic boundary value problem to reconstruct the coefficients of the corresponding partial differential equation. Often the examined object has known background properties but is contaminated by inhomogeneities that cause perturbations of the coefficient functions. The factorization method of Kirsch provides a tool for locating such inclusions. In this paper, the factorization technique is studied in the framework of coercive elliptic partial differential equations of the divergence type: Earlier it has been demonstrated that the factorization algorithm can reconstruct the support of a strictly positive (or negative) definite perturbation of the leading order coefficient, or if that remains unperturbed, the support of a strictly positive (or negative) perturbation of the zeroth order coefficient. In this work we show that these two types of inhomogeneities can, in fact, be located simultaneously. Unlike in the earlier articles on the factorization method, our inclusions may have disconnected complements and we also weaken some other a priori assumptions of the method. Our theoretical findings are complemented by two-dimensional numerical experiments that are presented in the framework of the diffusion approximation of optical tomography.

Flagellin:allergen fusion proteins as novel vaccines for the treatment of severe type I allergies

Over the last decades the prevalence of food allergies has continually increased on a world wide scale. While there are effective treatments available for bee and wasp venom allergic patients, there is currently no established therapy for the treatment of severe food allergies. Aim of the project was to genetically fuse different food allergens with the immune modulating Toll-like receptor 5 (TLR5)-ligand flagellin and to test these constructs for their immune modulatory capacities both in vitro and in vivo. Chicken ovalbumin (Ova) as model antigen, Pru p 3, and Ara h 2 the respective major allergens from peach and peanut were used as allergens. The potential vaccine candidates were characterized by protein biochemical methods (purity, folding, endotoxin contaminations). Moreover, their immune modulating effects on cell culture lines (TLR5-receptor activation) and primary mouse immune cells (myeloid and plasmacytoid dendritic cells) were investigated. Additionally, the prophylactic and therapeutic use of the flagellin Ova fusion protein (rflaA:Ova) were investigated in a mouse model of intestinal allergy. In myeloid dendritic cells (mDC) stimulation with the fusion proteins led to a strong cell activation and cytokine secretion. Here, the fusion proteins proved to be a much stronger stimulus than the equimolar amount of both proteins provided alone or as a mixture. Noteworthy, stimulation with rflaA:Ova induced the secretion of the anti-inflammatory cytokine IL-10 from mDC. In co-culture experiments this IL-10 secretion suppressed the Ova-induced secretion of Th1 and Th2 cytokines from Ova-specific CD4 T cells. Using MyD88-deficient mDC this repression of cytokine secretion was shown to be TLR-dependent. Finally, the potency of the rflaA:Ova construct was investigated in a mouse model of Ova-induced intestinal allergy. In a prophylactic vaccination approach rflaA:Ova was shown to prevent the establishment of the intestinal allergy and all associated symptoms (weight loss, temperature drop, soft faeces). This fusion protein-mediated protection was accompanied by a reduced T cell activation, and reduced Th2 cytokines in intestinal homogenates. These effects were paralleled by a strong induction of Ova-specific IgG2a antibodies in rflaA:Ova-vaccinated sera, while Ova-specific IgE antibody production was significantly reduced. Therapeutic vaccination with rflaA:Ova reduced allergic symptoms and T cell activation but did not influence weight loss and antibody production. In all in vivo experiments vaccination with both proteins either provided alone or as a mixture did not have comparable effects. Future experiments aim at elucidating the mechanism and further optimization of the therapeutic vaccination approach. The results presented in this thesis demonstrate, that fusion proteins containing flagellin have strong immune modulatory capacities both in vitro and in vivo. Therefore, such constructs are promising vaccine candidates for the therapy of type I allergies.

Thermoelectric performance of p-type TiCoSb half-Heusler compounds - Intrinsic phase separation and charge carrier concentration optimization as key to high efficiency

The world's rising demand of energy turns the development of sustainable and more efficient technologies for energy production and storage into an inevitable task. Thermoelectric generators, composed of pairs of n-type and p-type semiconducting materials, di¬rectly transform waste heat into useful electricity. The efficiency of a thermoelectric mate¬rial depends on its electronic and lattice properties, summarized in its figure of merit ZT. Desirable are high electrical conductivity and Seebeck coefficients, and low thermal con¬ductivity. Half-Heusler materials are very promising candidates for thermoelectric applications in the medium¬ temperature range such as in industrial and automotive waste heat recovery. The advantage of Heusler compounds are excellent electronic properties and high thermal and mechanical stability, as well as their low toxicity and elemental abundance. Thus, the main obstacle to further enhance their thermoelectric performance is their relatively high thermal conductivity.rn rnIn this work, the thermoelectric properties of the p-type material (Ti/Zr/Hf)CoSb1-xSnx were optimized in a multistep process. The concept of an intrinsic phase separation has recently become a focus of research in the compatible n-type (Ti/Zr/Hf)NiSn system to achieve low thermal conductivities and boost the TE performance. This concept is successfully transferred to the TiCoSb system. The phase separation approach can form a significant alternative to the previous nanostructuring approach via ball milling and hot pressing, saving pro¬cessing time, energy consumption and increasing the thermoelectric efficiency. A fundamental concept to tune the performance of thermoelectric materials is charge carrier concentration optimization. The optimum carrier concentration is reached with a substitution level for Sn of x = 0.15, enhancing the ZT about 40% compared to previous state-of-the-art samples with x = 0.2. The TE performance can be enhanced further by a fine-tuning of the Ti-to-Hf ratio. A correlation of the microstructure and the thermoelectric properties is observed and a record figure of merit ZT = 1.2 at 710°C was reached with the composition Ti0.25Hf0.75CoSb0.85Sn0.15.rnTowards application, the long term stability of the material under actual conditions of operation are an important issue. The impact of such a heat treatment on the structural and thermoelectric properties is investigated. Particularly, the best and most reliable performance is achieved in Ti0.5Hf0.5CoSb0.85Sn0.15, which reached a maximum ZT of 1.1 at 700°C. The intrinsic phase separation and resulting microstructure is stable even after 500 heating and cooling cycles.

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.