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In this thesis, we investigate the quantization problem of Gaussian measures on Banach spaces by means of constructive methods. That is, for a random variable X and a natural number N, we are searching for those N elements in the underlying Banach space which give the best approximation to X in the average sense. We particularly focus on centered Gaussians on the space of continuous functions on [0,1] equipped with the supremum-norm, since in that case all known methods failed to achieve the optimal quantization rate for important Gauss-processes. In fact, by means of Spline-approximations and a scheme based on the Best-Approximations in the sense of the Kolmogorov n-width we were able to attain the optimal rate of convergence to zero for these quantization problems. Moreover, we established a new upper bound for the quantization error, which is based on a very simple criterion, the modulus of smoothness of the covariance function. Finally, we explicitly constructed those quantizers numerically.
The skin is continuously challenged by environmental antigens that may penetrate and elicit a skin sensitization, which can develop into allergic contact dermatitis. Medical treatment for allergic contact dermatitis is limited - in fact only acute symptoms can be cured and for secondary prevention of the disease a lifelong avoidance of the allergen(s) is necessary. Therefore, the screening of the sensitization potential of substance used in commercially available products is indispensable to prevent such diseases. Hence, risk assessment is deduced from data obtained by murine local lymph node assay predominantly, but there exists a need to develop methods capable of providing the same information that do not require the use of animals in view of legislative initiatives such as REACH (registration, evaluation, authorization of chemicals) as well as the 7th Amendment to the Cosmetics Directive (2003/15/EC). Therefore, a number of promising in silico and in vitro approaches are being developed to address this need. In vitro test systems using the response of dendritic cells, which are the key player in the elicitation process of contact dermatitis, are established, but, although these novel methods for hazard identification might find application in the context of screening, it is not clear whether these approaches are useful for the purposes of risk assessment and risk management to predict allergic potency. Therefore, it was investigated whether on the one hand in vitro generated dendritic cells from primary blood monocytes (MoDC) and on the other hand a continuous monocytic cell line, the THP-1 cells, suggested as dendritic cell surrogate, react to a presumably weak allergen. Ascaridol, predicted as one of the possible causes for tea tree oil contact dermatitis, was studied and its effects in these two in vitro skin sensitization models were explored. Thus, the surface expression of CD86, HLADR, CD54, and CD40, which are known as activation markers in both in vitro models, were measured via flow cytometry. For MoDC, an augmented CD86 and HLADR surface expression in comparison to untreated cells were determined after 24 h exposure with ascaridol. An increased CD54 and CD40 surface expression were found only in some donors. After long term incubation of 96 h, ascaridol-treated MoDC still up-regulated CD86 and additionally an augmented CD40 expression was measured in all studied donors. An enhanced CD54 expression was determined for 50 percentage of all investigated donors. Furthermore, CD80, CD83 and CD209 protein expression were up-regulated in MoDC after 96 h of ascaridol incubation. In addition, it was determined that after 24 h ascaridol-treated MoDC showed an increased capacity to uptake antigens, whereas after 96 h this capacity got lost and antigen-capturing devices were reduced in comparison to non-treated MoDC. Moreover, the cytokine release of ascaridol-treated MoDC were measured after 24 h. Tumor necrosis factor (TNF)alpha, interleukin (IL)-1beta and IL 6 secretion were determined in some donors. Furthermore, IL-8 release was clearly increased after 24 h ascaridol treatment. By the same token, THP-1 cells were analyzed after ascaridol treatment for several activation markers. We found a similar response pattern as measured in MoDC. Ascaridol induced CD86 expression as well as CD54 after 24 h incubation. Additionally, the impact of ascaridol on phosphorylation of p38 mitogen-activated protein kinase, which had been shown to be involved in increased expression of activation markers like CD86 by others, were studied via Western blot analysis. A phosphorylation of p38 was determined after 15 min of ascaridol stimulation. Moreover, an augmented CD40 and HLADR surface expression were measured in a dose-response manner after 24 h ascaridol treatment. Also similar to MoDC an enhanced IL-8 secretion after ascaridol stimulation was observed in THP-1 cells. Hence, for the first time it was shown that ascaridol has immuno-modulating effects. The obtained data from both in vitro systems, MoDC and THP-1 cells, identified ascaridol as a sensitizer. Although for both systems there remain significant challenges to overcome for potency assessment, ascaridol is presumed to be a weak sensitizer probably. Interestingly, ascaridol treatment of THP-1 cells resulted also in an increased augmentation of CD184 and CCR2, two chemokine receptors expressed on monocyte. Therefore, these data encouraged the exploration of chemokine receptors as tools in skin sensitization prediction. Consequently, the combination of chemical assays with in vitro techniques may provide a useful surrogate to animal testing for skin sensitization. Due to the continuously changing environmental conditions, it is necessary to regularly monitor and update the spectrum of sensitizers that elicit contact dermatitis. Therefore, both debated in vitro test systems will become indispensable tools.
During the last decade, anatomic and physiological neuroscience research has yielded extensive information on the physiological regulators of short-term satiety, visceral and interoceptive sensation. Distinct neural circuits regulate the elements of food ingestion physiologically. The general aim of the current studies is to elucidate the peripheral neural pathways to the brain in healthy subjects to establish the groundwork for the study of the pathophysiology of bulimia nervosa (BN). We aimed to define the central activation pattern during non-nutritive gastric distension in humans, and aimed to define the cognitive responses to this mechanical gastric distension. We estimated regional cerebral blood flow with 15O-water positron emission tomography during intragastric balloon inflation and deflation in 18 healthy young women of normal weight. The contrast between inflated minus deflated in the exploratory analysis revealed activation in more than 20 brain regions. The analysis confirmed several well known areas in the central nervous system that contribute to visceral processing: the inferior frontal cortex, representing a zone of convergence for food related stimuli; the insula and operculum referred to as "visceral cortex"; the anterior cingulate gyrus (and insula), processing affective information; and the brainstem, a site of vagal relay for visceral afferent stimuli. Brain activation in the left ventrolateral prefrontal cortex was reproducible. This area is well known for higher cognitive processing, especially reward-related stimuli. The ventrolateral prefrontal cortex with the insular regions may provide a link between the affective and rewarding components of eating and disordered eating as observed in BN and binge-eating obesity. Gastric distension caused a significant rapid, reversible, and reproducible increase in the feelings of fullness, sleepiness, and gastric discomfort as well as a significant rapid, reversible, and reproducible decrease in the feeling of hunger. We showed that mechanical activation of the neurocircuitry involved in meal termination led to the described phenomena. The current brain activation studies of non-painful, proximal gastric distension could provide groundwork in the field of abnormal eating behavior by suggesting a link between visceral sensation and abnormal eating patterns. A potential treatment for disordered eating and obesity could alter the conscious and unconscious perception and interoceptive awareness of gastric distension contributing to meal termination.
The human brain is characterised by two apparently symmetrical cerebral hemispheres. However, the functions attributed to each half of the brain are very distinct with a relative specialisation of the left hemisphere for language processing. Most laterality research has been performed on a behavioural level, using techniques such as visual half-field presentation. The visual half-field technique involves the presentation of stimuli in the left or right visual field for a very short time (about 200 ms). During the presentation of lateralized stimuli, the gaze of the participants is fixated on a centrally presented fixation cross. This technique takes advantage of the anatomy of the visual pathway as the temporal hemiretinae project ipsilateral, while the nasal hemiretinae project contralateral. Thus, stimuli presented in the left or right visual field are initially processed in the contralateral hemisphere. Language organisation can also be directly investigated using functional magnetic resonance imaging (fMRI). Both behavioural and neuroimaging studies showed that about 95% of right-handed men have a left hemispheric specialisation for language. In contrast, data on language organisation in women are ambiguous. It is supposed that this ambivalent picture might be associated with changes in gonadal steroid levels in blood during the menstrual cycle. However, gonadal steroid effects are complex and their role in functional cerebral lateralization is still open to discussion. The aim of this PhD project was to investigate, using fMRI: (1) the processing of linguistic information initially received in the specialised, non-specialised or both hemispheres; (2) linking the associated brain activation pattern with progesterone levels during the menstrual cycle. Firstly, brain activation was measured in 16 right-handed, healthy males during processing of different components of language (orthography, phonology and semantics) after reception in the left, right or both hemispheres. Secondly, to investigate changes in language organisation during the menstrual cycle, we conducted an event-related fMRI study during semantic and phonological processing also using visual half-field and central presentation of linguistic stimuli. Our results revealed higher BOLD signal intensity change in the visual cortex contralateral to the visual field of stimulus presentation compared to the ipsilateral visual cortex reflecting the crossing of visual pathways. We also found support for the hypothesis that the superiority of word recognition in the left VWFA is the result of a reduced activity in the right VWFA under left hemispheric control. Further, linguistic information received in the subdominant RH, is interhemispheric transferred to the left hemisphere for phonological processing. Semantic processing in contrast occurs in the specialised and in the non-specialised hemisphere. For the group of women, data analysis revealed that during semantic processing, salivary progesterone levels correlated positively with brain activity of the left superior frontal gyrus, left middle and inferior occipital gyri and bilateral fusiform gyrus. In contrast, the brain activation pattern for phonological processing did not change significantly across the menstrual cycle. In conclusion, the effect of serum progesterone levels on brain activity is task and region specific.
In this psycho-neuro-endocrine study the molecular basis of different variants of steroid receptors as well as highly conserved non steroidal receptors was investigated. These nuclear receptors (NRs) are important key regulators of a wide variety of different physiological and pathophysiological challenges ranging from inflammation and stress to complex behaviour and disease. NRs control gene transcription in a ligand dependent manner and are embedded in the huge interaction network of the neuroendocrine and immune system. Two receptors, the glucocorticoid receptor (GR) and the chicken ovalbumin upstream promoter-transcription factorII (Coup-TFII), both expressed in the immune and nervous system, were investigated regarding possible splice variants and their implication in the control of gene transcription. Both NRs are known to interact and modulate each other- target gene regulation. This study could be shown that both NRs have different splice variants that are expressed in a tissue specific manner. The different 5-´alternative transcript variants of the human GR were in silico identified in other species and evidence for a highly conserved and tightly controlled function was provided. Investigations of the N-terminal transactivation domain of the GR showed a deletion suggesting an altered glucocorticoid-dependent transactivation profile. The newly identified alternative transcript variant of Coup-TFII leads to a DNA binding deficient Coup-TFII isoform that is highly expressed in the brain. This Coup-TFII isoform alters Coup-TFII target gene expression and is suggested to interact with GR via its ligand binding domain resulting in an impaired GR target gene regulation in the nervous system. In this thesis it was demonstrated that NR variants are important for the understanding of the enormous regulatory potential of this receptor family and have to be taken into account for the development of therapeutic strategies for complex diseases such as stress related and neurodegenerative disorders.
International private equity development is highly volatile with increasing global diversification. This thesis examines the transaction patterns of cross-border private equity investment with a particular focus on the affinity of country pairs. Analysis is based on a comprehensive dataset of 99 countries over 25 years. A three-dimensional gravity model analysis covering source and host country over time exposes the effects of the country determinants: economic mass, economic distance, banking system, corporate endowment, as well as legal, political, and institutional system on the transactions. A new method is developed to examine countries in their dual roles as investor and target. This approach verifies their global importance as source and host, and also makes possible an analysis of overall private equity investment. For private equity-specific multi-investor deals, a scheme is designed to measure cross-border activity with more precision by participation, proportional deal participation, and deal flow. The analysis identifies intense level of affinity between country pairs and reveals that no single country is ideal for private equity activity. Instead, the findings show that the specific push and pull factors within each country constellation define the optimal country as trading partner. The results verify a correlation between cross-border deals and economic masses and reduced economic distance of countries. Geographic distance and cultural similarities, such as language and legal system, intensify the likelihood of initiating transactions. International trade-oriented countries with a high level of development lower the entrance barriers and increase the chances of deal success. A well-funded financial system for the investor and an efficient and competitive banking system of target countries enhance the probability of investment between countries. Also relevant for the likelihood of starting cross-border deals are low corporate tax burdens and advanced scientific competitiveness, and a well-developed stock market in the investor country. Fundamental to frequency and likelihood of success are well-established, high standards of a country- social, political, and legal systems with widespread confidence in the rules of society. In particular, the reliability of contract enforcement, with proven quality of regulations that promote private sector development, proves to be crucial for deal success.
Considering the numerical simulation of mathematical models it is necessary to have efficient methods for computing special functions. We will focus our considerations in particular on the classes of Mittag-Leffler and confluent hypergeometric functions. The PhD Thesis can be structured in three parts. In the first part, entire functions are considered. If we look at the partial sums of the Taylor series with respect to the origin we find that they typically only provide a reasonable approximation of the function in a small neighborhood of the origin. The main disadvantages of these partial sums are the cancellation errors which occur when computing in fixed precision arithmetic outside this neighborhood. Therefore, our aim is to quantify and then to reduce this cancellation effect. In the next part we consider the Mittag-Leffler and the confluent hypergeometric functions in detail. Using the method we developed in the first part, we can reduce the cancellation problems by "modifying" the functions for several parts of the complex plane. Finally, in in the last part two other approaches to compute Mittag-Leffler type and confluent hypergeometric functions are discussed. If we want to evaluate such functions on unbounded intervals or sectors in the complex plane, we have to consider methods like asymptotic expansions or continued fractions for large arguments z in modulus.
The aim of the thesis was to investigate the role of the immune system in fibromyalgia (FM), as part of a dynamic co-regulation between different bodily systems. FM is a chronic musculoskeletal disorder characterized by widespread pain and specific tender points, combined with other symptoms including fatigue, sleep disturbances, morning stiffness and anxiety. The main goal of the work was to identify possible dysregulation of peripheral immune and endocrine parameters in patients with FM compared to matched healthy controls. Moreover, the possible relation between symptom complaints and the specific parameters measured was also evaluated. A first approach was to investigate possible differences between FM patients and controls in the expression of cytokines, as they have been implicated in the occurrence of several of the symptoms associated with FM. Furthermore, adhesion molecules which are involved in cell-to-cell communication and immune cell trafficking were also studied. The latter are known to be regulated by both cytokines and glucocorticoids (GCs) and their expression is often found altered in patients with immune dysregulation. It was expected that subjects with FM would have an increased production of proinflammatory cytokines and/or a reduced antiinflammatory cytokine production and that certain cytokines and/or adhesion molecules would be differently regulated by dexamethasone (DEX). Unstimulated blood was used in the analysis of adhesion molecule expression by flow cytometry while stimulated whole blood cell cultures were used in cytokine flow cytometry assays. Peripheral blood mononuclear cells (PBMCs) were also cultured and the supernatants collected to determine the concentration of cytokines by biochip protein array. In addition, serum samples were used in enzyme-linked immunosorbent assays (ELISA) for quantification of soluble adhesion molecules. L-selectin was found elevated on monocytes and neutrophils of FM patients. A bias toward lower IL-4 levels was observed in FM patients. Based on studies showing differences in glucocorticoid receptor (GR) affinity and disturbances associated with loss of hypothalamic-pituitary-adrenal (HPA) axis resiliency in FM, it was hypothesized whether FM would be associated with abnormalities in glucocorticoid sensitivity. Total plasma cortisol and salivary free cortisol were quantified by ELISA and time-resolved fluorescence immunoassay, respectively. GR sensitivity through DEX inhibition of IL-6, in stimulated whole blood, was evaluated after cytokine quantification by ELISA. The corticosteroid receptors, GR alpha and mineralocorticoid receptor (MR), as well as the glucocorticoid-induced leucine zipper (GILZ) and the FK506 binding protein 5 mRNA expression were assessed in PBMCs by real-time reverse transcription-polymerase chain reaction (RT-PCR). Furthermore, sequencing of RT-PCR products and/or genomic DNA was used for mutational analysis of the corticosteroid receptors. We observed lower basal plasma cortisol levels (borderline statistical significance) and a lower expression of corticosteroid receptors and GILZ in FM patients when compared to healthy controls. The minor allele of the MR single nucleotide polymorphism (SNP) rs5522 was found more often in FM patients than in controls. In addition, female carriers of this SNP seemed to have reduced salivary cortisol responses to a strong psychological stressor (Trier Social Stress Test) compared to non-carriers. FM patient carriers of an MR intronic SNP (rs17484245), before exon 3, were associated with significantly higher scores of depression symptoms compared to patient non-carriers. The thesis includes also a comprehensive analysis of the complexity of GR regulation and the role of alternative mRNA splicing. It focuses on the differential expression of the untranslated GR first exons, their high sequence homology among different species and how genetic determinants, without apparent relevance, may have implications in health and disease. In FM patients, GR exon 1-C expression was found lower and a significant difference was observed when comparing GR 1-C expression between antidepressant-free and patients who had taken antidepressants until two weeks before sample collection. In summary, the study shows a slight disturbance of some components of the innate immune system of FM patients and suggests an enhanced adhesion and possible recruitment of leukocytes to inflammatory sites. The reduced expression of corticosteroid receptors and possibly the reduced MR function may be associated with an impaired function of the HPA axis in these patients. A hyporesponsiveness of the HPA axis under stress or disturbances of the stress response could make these patients more vulnerable to cytokines and inflammation which, compounded by lower antiinflammatory mediators, may sustain some of the symptoms that contribute to the clinical picture of FM.
As an interface between an individual and its environment, the skin is a major site of direct exposure to exogenous substances. Once absorbed, these substances may interact with different biomolecules within the skin. The aryl hydrocarbon receptor (AhR) signaling pathway is one mechanism whereby the skin responds to exposures, predominantly through the induction or upregulation of metabolizing enzymes. One known physiological role of the AhR in many tissues is its involvement in the control of cell cycle progression. In skin, almost nothing is known about this physiological function. Moreover, the question whether frequently used naturally occurring phenolic derivatives like eugenol and isoeugenol impact on the AhR within the skin has rarely been studied so far. Eugenol and isoeugenol are due to their odour referred to as fragrances. The ubiquitous distribution of eugenol and isoeugenol results in an almost unavoidable contact with these substances in our daily lives. Despite this fact, their molecular mechanisms of action in skin are poorly understood. There is evidence supporting the hypothesis that these substances may impact on the AhR. On the one hand, eugenol is shown to induce cytochrome P450 1A1 (CYP1A1), a well-known target gene of the AhR. On the other hand, their known anti-proliferative properties might also be mediated by the AhR, based on its physiological function. In order to proof this hypothesis, it was investigated whether eugenol and isoeugenol impact on the AhR signaling pathway in skin cells. Results revealed that eugenol as well as isoeugenol impact on the AhR signaling pathway in skin cells. Both substances caused the translocation of the AhR into the nucleus, induced the expression of the well-known AhR target genes CYP1A1 and AhR repressor (AhRR) and exhibited impact on cell cycle progression. Both substances caused an AhR-dependent cell cycle arrest in skin cells, modulated protein levels of several cell cycle regulatory proteins, inhibited DNA synthesis and thereby reduced cell numbers. The comparison of wildtype cells to AhR knockdown cells revealed an influence of the AhR on cell cycle progression in skin cells in the absence of exogenous ligands. AhR knockdown cells exhibited a slower progression through the cell cycle caused by an accumulation of cells in the G0/G1 phase of the cell cycle and a decreased DNA synthesis rate. Modulation of cell cycle regulatory proteins involved in the transition from the G0/G1 to the S phase of the cell cycle was altered in AhR knockdown cells as well. To conclude, eugenol as well as isoeugenol were able to impact on the AhR signaling pathway in skin cells. Their molecular mechanisms of action are similar to those of classical AhR ligands, although their structural characteristics strongly differ from that of these ligands. In the absence of exogenous ligands the AhR promotes cell cycle progression in many tissues and this knowledge could be expanded on skin-derived cells within the scope of this thesis.
In this study, candidate loci for periodic catatonia (SCZD10, OMIM #605419) on chromosome 15q15 and 22q13.33 have been fine mapped and investigated. Previously, several studies found evidences for a major susceptibility locus on chromosome 15q15 and a further potential locus on 22q13.33 pointing to genetic heterogeneity. Fine mapping was done in our multiplex families through linkage and mutational analysis using genomic markers selected from public databases. Positional candidate genes like SPRED1 and BRD1, and ultra-conserved elements were investigated by direct sequencing in these families. The results narrow down the susceptibility locus on chromosome 15q14-15q15.1 to a region between markers D15S1042 and D15S968, as well as exclusion of SPRED1 and ultra-conserved elements as susceptibility candidates. Fine mapping for two chromosome 23q13.33-linked families showed that the recombination events would place the disease-causing gene to a telomeric ~577 Kb interval and SNP rs138880 investigation revealed an A-allele in the affected person, therefore excludes BRD1 as well as confirmed MLC1 to be the candidate gene for periodic catatonia.
The glucocorticoid (GC) cortisol, main mediator of the hypothalamic-pituitary-adrenal axis, has many implications in metabolism, stress response and the immune system. GC function is mediated mainly via the glucocorticoid receptor (GR) which binds as a transcription factor to glucocorticoid response elements (GREs). GCs are strong immunosuppressants and used to treat inflammatory and autoimmune diseases. Long-term usage can lead to several irreversible side effects which make improved understanding indispensable and warrant the adaptation of current drugs. Several large scale gene expression studies have been performed to gain insight into GC signalling. Nevertheless, studies at the proteomic level have not yet been made. The effects of cortisol on monocytes and macrophages were studied in the THP-1 cell line using 2D fluorescence difference gel electrophoresis (2D DIGE) combined with MALDI-TOF mass spectrometry. More than 50 cortisol-modulated proteins were identified which belonged to five functional groups: cytoskeleton, chaperones, immune response, metabolism, and transcription/translation. Multiple GREs were found in the promoters of their corresponding genes (+10 kb/-0.2 kb promoter regions including all alternative promoters available within the Database for Transcription Start Sites (DBTSS)). High quality GREs were observed mainly in cortisol modulated genes, corroborating the proteomics results. Differential regulation of selected immune response related proteins were confirmed by qPCR and immuno-blotting. All immune response related proteins (MX1, IFIT3, SYWC, STAT3, PMSE2, PRS7) which were induced by LPS were suppressed by cortisol and belong mainly to classical interferon target genes. Mx1 has been selected for detailed expression analysis since new isoforms have been identified by proteomics. FKBP51, known to be induced by cortisol, was identified as the strongest differentially expressed protein and contained the highest number of strict GREs. Genomic analysis of five alternative FKBP5 promoter regions suggested GC inducibility of all transcripts. 2D DIGE combined with 2D immunoblotting revealed the existence of several previously unknown FKBP51 isoforms, possibly resulting from these transcripts. Additionally multiple post-translational modifications were found, which could lead to different subcellular localization in monocytes and macrophages as seen by confocal microscopy. Similar results were obtained for the different cellular subsets of human peripheral blood mononuclear cells (PBMCs). FKBP51 was found to be constitutively phosphorylated with up to 8 phosphosites in CD19+ B lymphocytes. Differential Co-immunoprecipitation for cytoplasm and nucleus allowed us to identify new potential interaction partners. Nuclear FKBP51 was found to interact with myosin 9, whereas cytosolic FKBP51 with TRIM21 (synonym: Ro52, Sjögren`s syndrome antigen). The GR has been found to interact with THOC4 and YB1, two proteins implicated in mRNA processing and transcriptional regulation. We also applied proteomics to study rapid non-genomic effects of acute stress in a rat model. The nuclear proteome of the thymus was investigated after 15 min restraint stress and compared to the non-stressed control. Most of the identified proteins were transcriptional regulators found to be enriched in the nucleus probably to assist gene expression in an appropriate manner. The proteomic approach allowed us to further understand the cortisol mediated response in monocytes/macrophages. We identified several new target proteins, but we also found new protein variants and post-translational modifications which need further investigation. Detailed study of FKBP51 and GR indicated a complex regulation network which opened a new field of research. We identified new variants of the anti-viral response protein MX1, displaying differential expression and phosphorylation in the cellular compartments. Further, proteomics allowed us to follow the very early effects of acute stress, which happen prior to gene expression. The nuclear thymocyte proteome of restraint stressed rats revealed an active preparation for subsequent gene expression. Proteomics was successfully applied to study differential protein expression, to identify new protein variants and phosphorylation events as well as to follow translocation. New aspects for future research in the field of cortisol-mediated immune modulation have been added.