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Arctic and Antarctic polynya systems are of high research interest since extensive new ice formation takes place in these regions. The monitoring of polynyas and the ice production is crucial with respect to the changing sea-ice regime. The thin-ice thickness (TIT) distribution within polynyas controls the amount of heat that is released to the atmosphere and has therefore an impact on the ice-production rates. This thesis presents an improved method to retrieve thermal-infrared thin-ice thickness distributions within polynyas. TIT with a spatial resolution of 1 km × 1 km is calculated using the MODIS ice-surface temperature and atmospheric model variables within the Laptev Sea polynya for the winter periods 2007/08 and 2008/09. The improvement of the algorithm is focused on the surface-energy flux parameterizations. Furthermore, a thorough sensitivity analysis is applied to quantify the uncertainty in the thin-ice thickness results. An absolute mean uncertainty of -±4.7 cm for ice below 20 cm of thickness is calculated. Furthermore, advantages and drawbacks using different atmospheric data sets are investigated. Daily MODIS TIT composites are computed to fill the data gaps arising from clouds and shortwave radiation. The resulting maps cover on average 70 % of the Laptev Sea polynya. An intercomparison of MODIS and AMSR-E polynya data indicates that the spatial resolution issue is essential for accurately deriving polynya characteristics. Monthly fast-ice masks are generated using the daily TIT composites. These fast-ice masks are implemented into the coupled sea-ice/ocean model FESOM. An evaluation of FESOM sea-ice concentrations is performed with the result that a prescribed high-resolution fast-ice mask is necessary regarding the accurate polynya location. However, for a more realistic simulation of other small-scale sea-ice features further model improvements are required. The retrieval of daily high-resolution MODIS TIT composites is an important step towards a more precise monitoring of thin sea ice and sea-ice production. Future work will address a combined remote sensing " model assimilation method to simulate fully-covered thin-ice thickness maps that enable the retrieval of accurate ice production values.
This study focuses on the representation of British South Asian identities in contemporary British audiovisual media. It attempts to answer the question, whether these identities are represented as hybrid, heterogeneous and ambivalent, or whether these contemporary representations follow in the tradition of colonial and postcolonial racialism. Racialised depictions of British South Asians have been the norm not only in the colonial but also in the postcolonial era until the rise of the Black British movement, whose successes have been also acknowledged in the field of representation. However these achievements have to be scrutinized again, especially in the context of the post 9/11 world, rising Islamophobia, and new forms of institutionalized discrimination on the basis of religion. Since the majority of British Muslims are of South Asian origin, this study tries to answer the question whether the marker of religious origin is racial belonging, i.e. skin colour, and old stereotypes associated with the racialised representation are being perpetuated into current depictions through an examination of the varied genre of popular audio visual media texts.
Magnet Resonance Imaging (MRI) and Electroencephalography (EEG) are tools used to investigate the functioning of the working brain in both humans and animal studies. Both methods are increasingly combined in separate or simultaneous measurements under the assumption to benefit from their individual strength while compensating their particular weaknesses. However, little attention has been paid to how statistical analyses strategies can influence the information that can be retrieved from a combined EEG fMRI study. Two independent studies in healthy student volunteers were conducted in the context of emotion research to demonstrate two approaches of combining MRI and EEG data of the same participants. The first study (N = 20) applied a visual search paradigm and found that in both measurements the assumed effects were absent by not statistically combining their results. The second study (N = 12) applied a novelty P300 paradigm and found that only the statistical combination of MRI and EEG measurements was able to disentangle the functional effects of brain areas involved in emotion processing. In conclusion, the observed results demonstrate that there are added benefits of statistically combining EEG-fMRI data acquisitions by assessing both the inferential statistical structure and the intra-individual correlations of the EEG and fMRI signal.
The complicated human alternative GR promoter region plays a pivotal role in the regulation of GR levels. In this thesis, both genomic and environmental factors linked with GR expression are covered. This research showed that GR promoters were susceptible to silencing by methylation and the activity of the individual promoters was also modulated by SNPs. E2F1 is a major element to drive the expression of GR 1F transcripts and single CpG dinucleotide methylation cannot mediate the inhibition of transcription in vitro. Also, the distribution of GR first exons and 3" splice variants (GRα and GR-P) is expressed throughout the human brain with no region-specific alternative first exon usage. These data mirrored the consistently low levels of methylation in the brain, and the observed homogeneity throughout the studied regions. Taken together, the research presented in this thesis explored several layers of complexity in GR transcriptional regulation.
The stress hormone cortisol as the end-product of the hypothalamic-pituitary-adrenal (HPA) axis has been found to play a crucial role in the release of aggressive behavior (Kruk et al., 2004; Böhnke et al., 2010). In order to further explore potential mechanisms underlying the relationship between stress and aggression, such as changes in (social) information processing, we conducted two experimental studies that are presented in this thesis. In both studies, acute stress was induced by means of the Socially Evaluated Cold Pressor Test (SECP) designed by Schwabe et al. (2008). Stressed participants were classified as either cortisol responders or nonresponders depending on their rise in cortisol following the stressor. Moreover, basal HPA axis activity was measured prior to the experimental sessions and EEG was recorded throughout the experiments. The first study dealt with the influence of acute stress on cognitive control processes. 41 healthy male participants were assigned to either the stress condition or the non-stressful control procedure of the SECP. Before as well as after the stress induction, all participants performed a cued task-switching paradigm in order to measure cognitive control processes. Results revealed a significant influence of acute and basal cortisol levels, respectively, on the motor preparation of the upcoming behavioral response, that was reflected in changes in the magnitude of the terminal Contingent Negative Variation (CNV). In the second study, the effect of acute stress and subsequent social provocation on approach-avoidance motivation was examined. 72 healthy students (36 males, 36 females) took part in the study. They performed an approach-avoidance task, using emotional facial expressions as stimuli, before as well as after the experimental manipulation of acute stress (again via the SECP) and social provocation realized by means of the Taylor Aggression Paradigm (Taylor, 1967). Additionally to salivary cortisol, testosterone samples were collected at several points in time during the experimental session. Results indicated a positive relationship between acute testosterone levels and the motivation to approach social threat stimuli in highly provoked cortisol responders. Similar results were found when the testosterone-to-cortisol ratio at baseline was taken into account instead of acute testosterone levels. Moreover, brain activity during the approach-avoidance task was significantly influenced by acute stress and social provocation, as reflected in reductions of early (P2) as well as of later (P3) ERP components in highly provoked cortisol responders. This may indicate a less accurate, rapid processing of socially relevant stimuli due to an acute increase in cortisol and subsequent social provocation. In conclusion, the two studies presented in this thesis provide evidence for significant changes in information processing due to acute stress, basal cortisol levels and social provocation, suggesting an enhanced preparation for a rapid behavioral response in the sense of a fight-or-flight reaction. These results confirm the model of Kruk et al. (2004) proposing a mediating role of changed information processes in the stress-aggression-link.
The 23rd Annual Congress of the European Consortium for Church and State Research took place in Oxford, United Kingdom from 29 September to 2 October 2011. Founded in 1989, the Consortium unites experts in law and religion from Member States of the European Union. The Oxford conference took as its theme Religion and Discrimination Law focusing on the manner in which State governments had sought to implement the non-discrimination policy of the EU by legislation and through courts and tribunals. The proceedings comprise three introductory papers considering the historical, cultural and social background; the prohibition on discrimination, and the exemptions to the general prohibition. This is followed by national reports from twenty-three countries describing the reach of discrimination law in the field of religion. These are supplemented by further papers analysing the jurisprudence of the Strasbourg Court and the background to EU Directive 2000/78/EC and by some concluding reflections. The proceedings begin with the text of a public lecture given at the opening of the Congress by Sir Nicolas Bratza, President of the European Court of Human Rights on the subject of freedom of religion under Article 9 of the Convention.
In this thesis, we mainly investigate geometric properties of optimal codebooks for random elements $X$ in a seperable Banach space $E$. Here, for a natural number $ N $ and a random element $X$ , an $N$-optimal codebook is an $ N $-subset in the underlying Banach space $E$ which gives a best approximation to $ X $ in an average sense. We focus on two types of geometric properties: The global growth behaviour (growing in $N$) for a sequence of $N$-optimal codebooks is described by the maximal (quantization) radius and a so-called quantization ball. For many distributions, such as central-symmetric distributions on $R^d$ as well as Gaussian distributions on general Banach spaces, we are able to estimate the asymptotics of the quantization radius as well as the quantization ball. Furthermore, we investigate local properties of optimal codebooks, in particular the local quantization error and the weights of the Voronoi cells induced by an optimal codebook. In the finite-dimensional setting, we are able to proof for many interesting distributions classical conjectures on the asymptotic behaviour of those properties. Finally, we propose a method to construct sequences of asymptotically optimal codebooks for random elements in infinite dimensional Banach spaces and apply this method to construct codebooks for stochastic processes, such as fractional Brownian Motions.
The main topic of this treatise is the solution of two problems from the general theory of linear partial differential equations with constant coefficients. While surjectivity criteria for linear partial differential operators in spaces of smooth functions over an open subset of euclidean space and distributions were proved by B. Malgrange and L. Hörmander in 1955, respectively 1962, concrete evaluation of these criteria is still a highly non-trivial task. In particular, it is well-known that surjectivity in the space of smooth functions over an open subset of euclidean space does not automatically imply surjectivity in the space of distributions. Though, examples for this fact all live in three or higher dimensions. In 1966, F. Trèves conjectured that in the two dimensional setting surjectivity of a linear partial differential operator on the smooth functions indeed implies surjectivity on the space of distributions. An affirmative solution to this problem is presented in this treatise. The second main result solves the so-called problem of (distributional) parameter dependence for solutions of linear partial differential equations with constant coefficients posed by J. Bonet and P. Domanski in 2006. It is shown that, in dimensions three or higher, this problem in general has a negative solution even for hypoelliptic operators. Moreover, it is proved that the two dimensional case is again an exception, because in this setting the problem of parameter dependence always has a positive solution.
One of the main tasks in mathematics is to answer the question whether an equation possesses a solution or not. In the 1940- Thom and Glaeser studied a new type of equations that are given by the composition of functions. They raised the following question: For which functions Ψ does the equation F(Ψ)=f always have a solution. Of course this question only makes sense if the right hand side f satisfies some a priori conditions like being contained in the closure of the space of all compositions with Ψ and is easy to answer if F and f are continuous functions. Considering further restrictions to these functions, especially to F, extremely complicates the search for an adequate solution. For smooth functions one can already find deep results by Bierstone and Milman which answer the question in the case of a real-analytic function Ψ. This work contains further results for a different class of functions, namely those Ψ that are smooth and injective. In the case of a function Ψ of a single real variable, the question can be fully answered and we give three conditions that are both sufficient and necessary in order for the composition equation to always have a solution. Furthermore one can unify these three conditions to show that they are equivalent to the fact that Ψ has a locally Hölder-continuous inverse. For injective functions Ψ of several real variables we give necessary conditions for the composition equation to be solvable. For instance Ψ should satisfy some form of local distance estimate for the partial derivatives. Under the additional assumption of the Whitney-regularity of the image of Ψ, we can give sufficient conditions for flat functions f on the critical set of Ψ to possess a solution F(Ψ)=f.
The contribution of three genes (C15orf53, OXTR and MLC1) to the etiology of chromosome 15-bound schizophrenia (SCZD10), bipolar disorder (BD) and autism spectrum disorder (ASD) were studied. At first, the uncharacterized gene C15orf53 was comprehensively analyzed. Previous genome-wide association studies (GWAS) in bipolar disorder samples have identified an association signal in close vicinity to C15orf53 on chromosome 15q14. This gene is located in exactly the genomic region, which is segregating in our SCZD10 families. An association study with bipolar disorder (BD) and SCZD10 individual samples did not reveal any association of single nucleotide polymorphisms (SNPs) in C15orf53. Mutational analysis of C15orf53 in SCZD10-affected individuals from seven multiplex families did not show any mutations in the 5'-untranslated region, the coding region and the intron-exon boundaries. Gene expression analysis revealed that C15orf53 was expressed in a subpopulation of leukocytes, but not in human post-mortem limbic brain tissue. Summarizing these studies, C15orf53 is unlikely to be a strong candidate gene for the etiology of BD or SCZD10. The second investigated gene was the human oxytocin receptor gene (OXTR). Five well described SNPs located in the OXTR gene were taken for a transmission-disequilibrium test (TDT) in parents-child trios with ASD-affected children. Neither in the complete sample nor in a subgroup with children that had an intelligence quotient (IQ) above 70, association was found, independent from the application of Haploview or UNPHASED for analysis. The third gene, MLC1, was investigated with regards to its implication in the etiology of SCZD10. Mutations in the MLC1 gene lead to megalencephalic leukoencephalopathy with subcortical cysts (MLC) and one variant coding for the amino acid methionine (Met) instead of leucine (Leu) at position 309 was identified to segregate in a family affected with SCZD10. For further investigation of MLC1 and its possible implication in the etiology of SCZD10, a constitutive Mlc1 knockout mouse model should be created. Mouse embryonic stem cells (mES) were electroporated with a knockout vector construct and analyzed with respect to homologous recombination of the knockout construct with the genomic DNA (gDNA) of the mES. Polymerase chain reaction (PCR) on the available stem cell clones did not reveal any homologous recombined ES. Additionally, we conducted experiments to knockdown MLC1 and using microRNAs. The 3'-untranslated region of the MLC1 gene was analyzed with the bioinformatics tool TargetScan to screen for potential microRNA target sites. In the 3'-untranslated region of the MLC1 gene, a potential binding site for miR-137 was identified. The gene expression level of genes that had been linked to psychiatric disorders and carried a predicated miR-137 binding site has been proven to be immediately responsive to miR-137. Thus, there is new evidence that MLC1 is a candidate gene for the etiology of SCZD10.