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The subject of this thesis is a homological approach to the splitting theory of PLS-spaces, i.e. to the question for which topologically exact short sequences 0->X->Y->Z->0 of PLS-spaces X,Y,Z the right-hand map admits a right inverse. We show that the category (PLS) of PLS-spaces and continuous linear maps is an additive category in which every morphism admits a kernel and a cokernel, i.e. it is pre-abelian. However, we also show that it is neither quasi-abelian nor semi-abelian. As a foundation for our homological constructions we show the more general result that every pre-abelian category admits a largest exact structure in the sense of Quillen. In the pre-abelian category (PLS) this exact structure consists precisely of the topologically exact short sequences of PLS-spaces. Using a construction of Ext-functors due to Yoneda, we show that one can define for each PLS-space A and every natural number k the k-th abelian-group valued covariant and contravariant Ext-functors acting on the category (PLS) of PLS-spaces, which induce for every topologically exact short sequence of PLS-spaces a long exact sequence of abelian groups and group morphisms. These functors are studied in detail and we establish a connection between the Ext-functors of PLS-spaces and the Ext-functors for LS-spaces. Through this connection we arrive at an analogue of a result for Fréchet spaces which connects the first derived functor of the projective limit with the first Ext-functor and also gives sufficient conditions for the vanishing of the higher Ext-functors. Finally, we show that Ext^k(E,F) = 0 for a k greater or equal than 1, whenever E is a closed subspace and F is a Hausdorff-quotient of the space of distributions, which generalizes a result of Wengenroth that is itself a generalization of results due to Domanski and Vogt.
Large scale non-parametric applied shape optimization for computational fluid dynamics is considered. Treating a shape optimization problem as a standard optimal control problem by means of a parameterization, the Lagrangian usually requires knowledge of the partial derivative of the shape parameterization and deformation chain with respect to input parameters. For a variety of reasons, this mesh sensitivity Jacobian is usually quite problematic. For a sufficiently smooth boundary, the Hadamard theorem provides a gradient expression that exists on the surface alone, completely bypassing the mesh sensitivity Jacobian. Building upon this, the gradient computation becomes independent of the number of design parameters and all surface mesh nodes are used as design unknown in this work, effectively allowing a free morphing of shapes during optimization. Contrary to a parameterized shape optimization problem, where a smooth surface is usually created independently of the input parameters by construction, regularity is not preserved automatically in the non-parametric case. As part of this work, the shape Hessian is used in an approximative Newton method, also known as Sobolev method or gradient smoothing, to ensure a certain regularity of the updates, and thus a smooth shape is preserved while at the same time the one-shot optimization method is also accelerated considerably. For PDE constrained shape optimization, the Hessian usually is a pseudo-differential operator. Fourier analysis is used to identify the operator symbol both analytically and discretely. Preconditioning the one-shot optimization by an appropriate Hessian symbol is shown to greatly accelerate the optimization. As the correct discretization of the Hadamard form usually requires evaluating certain surface quantities such as tangential divergence and curvature, special attention is also given to discrete differential geometry on triangulated surfaces for evaluating shape gradients and Hessians. The Hadamard formula and Hessian approximations are applied to a variety of flow situations. In addition to shape optimization of internal and external flows, major focus lies on aerodynamic design such as optimizing two dimensional airfoils and three dimensional wings. Shock waves form when the local speed of sound is reached, and the gradient must be evaluated correctly at discontinuous states. To ensure proper shock resolution, an adaptive multi-level optimization of the Onera M6 wing is conducted using more than 36, 000 shape unknowns on a standard office workstation, demonstrating the applicability of the shape-one-shot method to industry size problems.
The catechol-O-methyltransferase gene (COMT) plays a crucial role in the metabolism of catecholamines in the frontal cortex. A single nucleotide polymorphism (Val158Met SNP, rs4680) leads to either methionine (Met) or valine (Val) at codon 158, resulting in a three- to fourfold reduction in COMT activity. The aim of the present study was to assess the COMT Val158Met SNP as a risk factor for attention-deficit/hyperactivity disorder (ADHD), ADHD symptom severity and co-morbid conduct disorder (CD) in 166 children with ADHD. The main finding of the present study is that the Met allele of the COMT Val158Met SNP was associated with ADHD and increased ADHD symptom severity. No association with co-morbid CD was observed. In addition, ADHD symptom severity and early adverse familial environment were positive predictors of lifetime CD. These findings support previous results implicating COMT in ADHD symptom severity and early adverse familial environment as risk factors for co-morbid CD, emphasizing the need for early intervention to prevent aggressive and maladaptive behavior progressing into CD, reducing the overall severity of the disease burden in children with ADHD.
Although it has been demonstrated that nociceptive processing can be modulated by heterotopically and concurrently applied noxious stimuli, the nature of brain processes involved in this percept modulation in healthy subjects remains elusive. Using functional magnetic resonance imaging (fMRI) we investigated the effect of noxious counter-stimulation on pain processing. FMRI scans (1.5 T; block-design) were performed in 34 healthy subjects (median age: 23.5 years; range: 20-31 yrs.) during combined and single application (duration: 15 s; ISI=36 s incl. 6 s rating time) of noxious interdigital-web pinching (intensity range: 6-15 N) and contact-heat (45-49 -°C) presented in pseudo-randomized order during two runs separated by approx. 15 min with individually adjusted equi-intense stimuli. In order to control for attention artifacts, subjects were instructed to maintain their focus either on the mechanical or on the thermal pain stimulus. Changes in subjective pain intensity were computed as percent differences (∆%) in pain ratings between single and heterotopic stimulation for both fMRI runs, resulting in two subgroups showing a relative pain increase (subgroup P-IN, N=10) vs. decrease (subgroup P-DE, N=12). Second level and Region of Interest analysis conducted for both subgroups separately revealed that during heterotopic noxious counter-stimulation, subjects with relative pain decrease showed stronger and more widespread brain activations compared to subjects with relative pain increase in pain processing regions as well as a fronto-parietal network. Median-split regression analyses revealed a modulatory effect of prefrontal activation on connectivity between the thalamus and midbrain/pons, supporting the proposed involvement of prefrontal cortex regions in pain modulation. Furthermore, the mid-sagittal size of the total corpus callosum and five of its subareas were measured from the in vivo magnetic resonance imaging (MRI) recordings. A significantly larger relative truncus size (P=.04) was identified in participants reporting a relative decrease of subjective pain intensity during counter-stimulation, when compared to subjects experiencing a relative pain increase. The above subgroup differences observed in functional and structural imaging data are discussed with consideration of potential differences in cognitive and emotional aspects of pain modulation.
Interoception - the perception of bodily processes - plays a crucial role in the subjective experience of emotion, consciousness and symptom genesis. As an alternative to interoceptive paradigms that depend on the participants" active cooperation, five studies are presented to show that startle methodology may be employed to study visceral afferent processing. Study 1 (38 volunteers) showed that startle responses to acoustic stimuli of 105 dB(A) intensity were smaller when elicited during the cardiac systole (R-wave +230 ms) as compared to the diastole (R +530 ms). In Study 2, 31 diabetic patients were divided into two groups with normal or diminished (< 6 ms/mmHg) baroreflex sensitivity (BRS) of heart rate control. Patients with normal BRS showed a startle inhibition during the cardiac systole as was found for healthy volunteers. Diabetic patients with diminished BRS did not show this pattern. Because diminished BRS is an indicator of impaired baro-afferent signal transmission, we concluded that cardiac modulation of startle is associated with intact arterial baro-afferent feedback. Thus, pre-attentive startle methodology is feasible to study visceral afferent processing. rnVisceral- and baro-afferent information has been found to be mainly processed in the right hemisphere. To explore whether cardiac modulation of startle eye blink is lateralized as well, in Study 3, 37 healthy volunteers received 160 unilateral acoustic startle stimuli presented to both ears, one at a time (R +0, 100, 230, 530 ms). Startle response magnitude was only diminished at R +230 ms and for left-ear presentation. This lateralization effect in the cardiac modulation of startle eye blink may reflect the previously described advantages of right-hemispheric brain structures in relaying viscero- and baro-afferent signal transmission. rnThis lateralization effect implies that higher cognitive processes may also play a role in the cardiac modulation of startle. To address this question, in Study 4, 25 volunteers responded first by 'fast as possible' button pushes (reaction time, RT), and second, rated perceived intensity of 60 acoustic startle stimuli (85, 95, or 105 dB; R +230, 530 ms). RT was divided into evaluation and motor response time. Increasing stimulus intensity enhanced startle eye blink, intensity ratings, and RT components. Eye blinks and intensity judgments were lower when startle was elicited at a latency of R +230 ms, but RT components were differentially affected. It is concluded that the cardiac cycle affects the attentive processing of acoustic startle stimuli. rnBeside the arterial baroreceptors, the cardiopulmonary baroreceptors represent another important system of cardiovascular perception that may have similar effects on startle responsiveness. To clarify this issue, in Study 5, Lower Body Negative Pressure at gradients of 0, -10, -20, and -30 mmHg was applied to unload cardiopulmonary baroreceptors in 12 healthy males, while acoustic startle stimuli were presented (R +230, 530 ms). Unloading of cardiopulmonary baroreceptors increased startle eye blink responsiveness. Furthermore, the effect of relative loading/unloading of arterial baroreceptors on startle eye blink responsiveness was replicated. These results demonstrate that the loading status of cardiopulmonary baroreceptors also has an impact on brainstem-based CNS processes. rnThus, the cardiac modulation of acoustic startle is feasible to reflect baro-afferent signal transmission of multiple neural sources, it represents a pre-attentive method that is independent of active cooperation, but its modulatory effects also reach higher cognitive, attentive processes.rn
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.
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.
In Beloved, Jazz and Paradise, Toni Morrison negotiates ways of individual and collective identity formation through figurations of space and trauma. In geographical spaces that are public and private, open and closed, inclusive and exclusive, space of the past and spaces of the present, Morrison writes discursive spaces in which to create individual and communal African American history and identity, based on the traumatic hi-stories at the core of the Black American experience: the Middle Passage, slavery, Jim Crow and the Civil Rights Movement, just to name a few. In the three novels, Toni Morrison subscribes to a postmodern notion of space and place, presenting it as relative to the individual- frame of mind. Places are used as metonymies for the protagonists" traumatized minds and their different ways of dealing with trauma. Trauma that is not worked through and transcended is presented by Morrison as impacting the protagonists- ability to fashion a home out of a vast and often hostile space. The physical and mental space of Morrison- protagonists is occupied by historical traumata that disables the protagonists to find a place in the present without revisiting the places of their troubled past. While this burdens their lives, it also opens up a historical and metahistorical discourse that allows the revision of mainstream historiography to include minority histories of oppression and trauma. Morrison reconfigures the American historical landscape by emphasizing the subjectivity of any history and offering alternatives to historical grand narratives through her historiographic metafiction. All three novels explore the possibility of reconciliation between past trauma and present life. Doing so requires Morrison to send her protagonists on strenuous journeys through time and space in order to visit the past trauma that keeps them from making a home in the here and now. The protagonists venture back to the primal scenes that bear major significance for their lives but have been suppressed for being too painful to remember. Their pain thus awakens anew, but out of it grow the possibility of a life in the present and the hope for a future. The pasts Morrison thus digs up serve as anchors to situate the African American place in the American historical landscape. Those primal places have a geographical as well as a historical and psychological quality, as places in Morrison- novels are often used as metonymies for the protagonists" traumatized minds, containing the memory of the traumatic past. By spatializing time, Morrison makes history accessible to a communal working through, thus countering the modernist impulse to treat memory as a private faculty embedded in the individual- psyche. This makes it difficult, for African Americans with individual recollections of slavery and racist oppression for example, to use traumatic memory as the basis for a common sense of identity. Morrison uses spatialized time as a forum to discover this basis, to allow for the establishment of a common historical bond. At the same time, she warns against instrumentalizing a common history to exclude those who do not share it. Any history, for Morrison, should be open and flexible enough to accommodate different perspectives. Essentially, Morrison suggests that western historiography is a discursive construct. By allowing, in all three novels, a polyphonic weaving of different equal histories to destablize a single, authoritative, hegemonic historiography, Morrison gives African Americans the power to construct her own past, her own present, and thereby claim back her identity. Moreover, Morrison destabilizes the duality of private space and public space that has long served to distinguish subjective individual memory from objective communal history and thus to legitimize certain accounts of history at the expense of others. The gendered as well as the racial other, by virtue of being excluded from the public sphere, have been excluded from their own historicization. By opening up the private sphere of personal trauma and loss, Morrison spatializes personal memory in a way that it forms a parallel public sphere in which African Americans may negotiate their historicity, move out of the timelessness of the private into the historicized public. By opening up the traditionally private sphere of the home to the public and turning it into a deeply political place, Morrison redefines home in a way that it does not necessarily conform to the classic view of a closed-off shelter but rather a transient place with flexible boundaries that allows for the formation of liberated individual and communal identities out of (hi)stories of pain and trauma.
One mechanism underlying the acquisition of interpersonal attitudes is the formation of an association between a valenced unconditioned stimulus (US) and an affectively neutral conditioned stimulus (CS). However, a stimulus (e.g., a person) is not always and necessarily perceived to be unambiguously positive or negative. An individual can be negative regarding abstract (trait) information but at the same time display a positive (concrete) behavior. The present research deals with the question of whether the valence of abstract or concrete information about a US is encoded and subsequently transferred to an associated CS. The central assumptions are that the valence of the concrete information is more important for the evaluation of the US, whereas the abstract information is more important for the evaluation of the CS. The rationale behind these assumptions is that the US is a psychologically proximal stimulus because it elicits a more direct affective reaction. The CS, however, is psychologically more distal because it is merely associated with the US and is therefore only experienced indirectly. It is postulated that the associative relation between US and CS constitutes a dimension of psychological distance. In four studies, the valence of abstract and concrete information about a number of USs was manipulated. Within an evaluative learning paradigm, these stimuli were associated with affectively neutral CSs. As predicted, ambivalent USs were evaluated according to the valence of the concrete information. The evaluation of CSs, however, was influenced more strongly by the valence of the abstract information. Moreover, in a subsequent lexical decision task, participants were faster to categorize abstract (vs. concrete) stimuli when the stimuli were preceded by a CS prime as compared to a US prime. The results provide first evidence that perceived psychological distance influences the evaluations of US and CS in an associative evaluative learning paradigm.
The reduction of information contained in model time series through the use of aggregating statistical performance measures is very high compared to the amount of information that one would like to draw from it for model identification and calibration purposes. It is readily known that this loss imposes important limitations on model identification and -diagnostics and thus constitutes an element of the overall model uncertainty as essentially different model realizations with almost identical performance measures (e.g. r-² or RMSE) can be generated. In three consecutive studies the present work proposes an alternative approach towards hydrological model evaluation based on the application of Self-Organizing Maps (SOM; Kohonen, 2001). The Self-Organizing Map is a type of artificial neural network and unsupervised learning algorithm that is used for clustering, visualization and abstraction of multidimensional data. It maps vectorial input data items with similar patterns onto contiguous locations of a discrete low-dimensional grid of neurons. The iterative training of the SOM causes the neurons to form a discrete, data-compressed representation of the high-dimensional input data. Using appropriate visualization techniques, information on distributions, patterns and relationships in complex data sets can be extracted. Irrespective of their potential, SOM applications have earned very little attention in hydrological modelling compared to other artificial neural network techniques. Therefore, the aim of the present work is to demonstrate that the application of Self-Organizing Maps has very high potential to address fundamental issues of model evaluation: It is shown that the clustering and classification of model time series by means of SOM can provide useful insights into model behaviour. In combination with the diagnostic properties of Signature Indices (Gupta et al., 2008; Yilmaz et al., 2008) SOM provides a novel tool for interpreting the model parameters in the hydrological context and identifying parameter sets that simultaneously meet multiple objectives, even if the corresponding model realizations belong to different models. Moreover, the presented studies and reviews also encourage further studies on the application of SOM in hydrological modelling.