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The idea that our observable Universe may have originated from a quantum tunneling event out of an eternally inflating false vacuum state is a cornerstone of the multiverse paradigm. Modern theories that are considered as an approach towards the ultraviolet-complete fundamental theory of particles and gravity, such as the various types of string theory, even suggest that a vast landscape of different vacuum configurations exists, and that gravitational tunneling is an important mechanism with which the Universe can explore this landscape. The tunneling scenario also presents a unique framework to address the initial conditions of our observable Universe. In particular, it allows to introduce deviations from the cosmological concordance model in a controlled and well-motivated way. These deviations are a central topic of this work. An important feature in most of the theories mentioned above is the presumed existence of additional space dimensions in excess of the three which we observe in our every-day experience. It was realized that these extra dimensions could avoid our detection if they are compactified to microscopic length scales far beyond the reach of current experiments. There also seem to be natural mechanisms available for dynamical compactification in those theories. These typically lead to a vast landscape of different vacuum configurations which also may differ in the number of macroscopic dimensions, only the total number of dimensions being determined by the theory. Transitions between these vacuum configurations may hence open up new directions which were previously compact, spontaneously compactify some previously macroscopic directions, or otherwise re-arrange the configuration of compact and macroscopic dimensions in a more general way. From within the bubble Universe, such a process may be perceived as an anisotropic background spacetime - intuitively, the dimensions which open up may give rise to preferred directions. If our 3+1 dimensional observable Universe was born in a process as described above, one may expect to find traces of a preferred direction in cosmological observations. For instance, two directions could be curved like on a sphere, while the third space direction is flat. Using a scenario of gravitational tunneling to fix the initial conditions, I show how the primordial signatures in such an anisotropic Universe can be obtained in principle and work out a particular example in more detail. A small deviation from isotropy also has phenomenological consequences for the later evolution of the Universe. I discuss the most important effects and show that backreaction can be dynamically important. In particular, under certain conditions, a buildup of anisotropic stress in different components of the cosmic fluid can lead to a dynamical isotropization of the total stress-energy tensor. The mechanism is again demonstrated with the help of a physical example.
Over the past decades, noncommutative geometry has grown into an established field in pure mathematics and theoretical physics. The discovery that noncommutative geometry emerges as a limit of quantum gravity and string theory has provided strong motivations to search for physics beyond the standard model of particle physics and also beyond Einstein's theory of general relativity within the realm of noncommutative geometries. A very fruitful approach in the latter direction is due to Julius Wess and his group, which combines deformation quantization (star-products) with quantum group methods. The resulting gravity theory does not only include noncommutative effects of spacetime, but it is also invariant under a deformed Hopf algebra of diffeomorphisms, generalizing the principle of general covariance to the noncommutative setting. The purpose of the first part of this thesis is to understand symmetry reduction in noncommutative gravity, which then allows us to find exact solutions of the noncommutative Einstein equations. These are important investigations in order to capture the physical content of such theories and to make contact to applications in e.g. noncommutative cosmology and black hole physics. We propose an extension of the usual symmetry reduction procedure, which is frequently applied to the construction of exact solutions of Einstein's field equations, to noncommutative gravity and show that this leads to preferred choices of noncommutative deformations of a given symmetric system. We classify in the case of abelian Drinfel'd twists all consistent deformations of spatially flat Friedmann-Robertson-Walker cosmologies and of the Schwarzschild black hole. The deformed symmetry structure allows us to obtain exact solutions of the noncommutative Einstein equations in many of our models, for which the noncommutative metric field coincides with the classical one. In the second part we focus on quantum field theory on noncommutative curved spacetimes. We develop a new formalism by combining methods from the algebraic approach to quantum field theory with noncommutative differential geometry. The result is an algebra of observables for scalar quantum field theories on a large class of noncommutative curved spacetimes. A precise relation to the algebra of observables of the corresponding undeformed quantum field theory is established. We focus on explicit examples of deformed wave operators and find that there can be noncommutative corrections even on the level of free field theories, which is not the case in the simplest example of the Moyal-Weyl deformed Minkowski spacetime. The convergent deformation of simple toy-models is investigated and it is shown that these quantum field theories have many new features compared to formal deformation quantization. In addition to the expected nonlocality, we obtain that the relation between the deformed and the undeformed quantum field theory is affected in a nontrivial way, leading to an improved behavior of the noncommutative quantum field theory at short distances, i.e. in the ultraviolet. In the third part we develop elements of a more powerful, albeit more abstract, mathematical approach to noncommutative gravity. The goal is to better understand global aspects of homomorphisms between and connections on noncommutative vector bundles, which are fundamental objects in the mathematical description of noncommutative gravity. We prove that all homomorphisms and connections of the deformed theory can be obtained by applying a quantization isomorphism to undeformed homomorphisms and connections. The extension of homomorphisms and connections to tensor products of modules is clarified, and as a consequence we are able to add tensor fields of arbitrary type to the noncommutative gravity theory of Wess et al. As a nontrivial application of the new mathematical formalism we extend our studies of exact noncommutative gravity solutions to more general deformations.
The delicate anatomical structures involved in infant cry production require intricate neurophysiological control especially in premature infants or those with a reduced respiratory or laryngeal function. Certain features like phonatory noise or subharmonics can be observed in infant cries using spectrograms. These features have a certain indicative valence for characterising the maturation stage of vocal control or its performance. One possible cause of deviation in neurophysiological coordination during voice production is disturbed CNS mechanisms, finally the consequences of orofacial clefts. Another is the influence of a familiar disposition for speech development disorders. The present paper studied the latter two relationships. For the evaluation and interpretation of a noise index (= average value of the noise portion within a cry) in infant’s pre-speech utterances, we analysed 1423 voice-signals emitted during the first 15 weeks of life by 10 orofacial cleft infants (5 females and 5 males), comparing these with a control group. The control group B of healthy infants was subdivided into B1 (FH- infants with a negative family history of speech developmental disorders) and B2 (FH+ infants with a positive family history of speech developmental disorders). Infants born with orofacial clefts are substantially exposed to severe difficulties for speech and language acquisition. Coupled with a premature muscle network, cleft infants are deprived in various ways (vocal nasality, limited consonant repertetoire, backward articulation etc) and their coordination of respiration, phonation and articulation is limited from a very early age. From birth until about 2 months of age, an infant's cry is characterised by a tuning phase between respiration and phonation. After training the production of more complex cry melodies with different rhythms, infants begin at 3 - 4 months of age (Wermke et al., 2005) to tune their phonation and articulation. Successfully absolving these stages of development is presumably a prerequisite for later acquisition of inconspicuous speech and language competence. The development of articulation is based on the tuning of melodies produced in the larynx and resonant frequencies from the vocal tract (Kempf, 2008). For an objective evaluation of pre-speech development in healthy and sick infants, this study produced comparable data on the appearance of selected parameters in age-appropriate control groups. In order to examine the connection between these selected cry properties and the physiological condition in infants, we made comparisons to 2623 voice-signals from 10 FH+ infants and 3002 voice-signals from 10 FH- infants (all without orofacial clefts and age-appropriates). For interpretations of future results, we also analysed 2684 voice-signals from 4 infants in the control group B1 (FH-) taken at closer time intervals until the 20th week of life. This study showed that the appearance of noise-like elements (NI) in the vocalizations of orofacial cleft infants and FH+ infants were identical during the first 15 weeks of life. Also, we could show that in both these groups (A and B2) there was a delayed development in the average signal length (phonation time). Although cleft infants and FH+ infants differ from each other physiologically, our results may propose a common neurophysiological retardation. Comparing prosodic elements in cries from FH+ and FH- infants showed differences (Blohm, 2007; Denner, 2007). Therefore, future research could apply this knowledge to a larger sample of infants in order to establish a better therapy concept, thus preventing late interventions. Infants from our control group B1 (FH-) met our expectations because when they got older, a development in their pre-speech capability was noticed. Our results support the hypothesis that in cry research, physiological differences (orofacial clefts or a family history for speech development disorders) in infants may encourage the appearance of noise-like elements in their vocalisations. However we believe that a period of training enables the infants to reduce their mean NI. The production of more complex melodies with age was better managed by the FH- infants and they also produced longer cries. To avoid a developmental retardation in speech and learning capabilities, it may be necessary in future to make more compact studies considering many other parameters and making comparisons with age-appropriates. Further studies also have to correlate these findings while investigating the consequences of these maturation processes on sound production. Despite physiological differences in the three groups of infants, the noise index (NI) as applied in this study can be used as an objective parameter for daily clinical diagnosis during the first four months of life.
For the EU “effective multilateralism” in, with and within international organisations is the foundation of a system of global governance, so is laid down in the ESS. Therefore the term is used to label the EU’s activities in the UN-family and to characterise the relations with the UN in the wider context of global governance. It is the political argument for the EU’s commitment in military crisis management, side by side with UN peacekeepers. The UN in turn speaks of multilateralism to call for the EU’s loyalty and partnership. Both organisations build their partnership on the common normative ground of multilateralism. The paper questions these rhetorical denominations critically. It goes beyond the political declarations to analyse the degree and quality of “effective multilateralism” in reality in and with international organisations, using the example of UN-EU-relations in military crisis management. The theoretical approach of multilateralism serves as the starting point of the analysis and theoretical basis of the paper (Chapter 1). The special EU-touch in “effective multilateralism” in comparison to the “UN-touch” is subject of Chapter 2. This analysis is necessary due to the meanwhile inflationary use of the term “effective multilateralism” in almost every CSFP context. Are the institutional steps to a partnership in crisis management as well as the operational collaboration in DR Congo (2003/2006/2009) and Chad/CAR (2008/2009) in line with “multilateralism”? is the question that is answered in the paper (Chapter 3).
In this thesis we consider a reactive transport model with precipitation dissolution reactions from the geosciences. It consists of PDEs, ODEs, algebraic equations (AEs) and complementary conditions (CCs). After discretization of this model we get a huge nonlinear and nonsmooth equation system. We tackle this system with the semismooth Newton method introduced by Qi and Sun. The focus of this thesis is on the application and convergence of this algorithm. We proof that this algorithm is well defined for this problem and local even quadratic convergent for a BD-regular solution. We also deal with the arising linear equation systems, which are large and sparse, and how they can be solved efficiently. An integral part of this investigation is the boundedness of a certain matrix-valued function, which is shown in a separate chapter. As a side quest we study how extremal eigenvalues (and singular values) of certain PDE-operators, which are involved in our discretized model, can be estimated accurately.
The present work presents investigations on energy and charge transport properties in organic crystals. Chapter 4 treats exciton transport in anthracene, which is an example for weakly coupled π-systems. The electronic coupling parameter is evaluated by the monomer transition density approach. With these and the reorganization energy hopping rates are calculated in the framework of the Marcus theory. Together with the knowledge of the crystal structure, these allow us to calculate the experimental accessible exciton diffusion lengths, whose isotropic part fits nicely within the scattering of experimental values found in the literature. Furthermore, the anisotropy of the exciton diffusion lengths is reproduced qualitatively and quantitatively correct. This chapter also contains studies about electron and hole transport in both polymorphs (α and β) of perylene. Reorganization energies as well as diffusion coefficients for both crystal structures and types of charge transport were calculated. The best transport is hole transport in β-perylene, but it is strongly isotropic. The preferred transport direction is along the b-axis of the unit cell with couplings of greater than 100 meV. However, there is no transport along the c-axis. The diffusion constant in b-direction is bigger by two orders of magnitude than in c-direction (62.7•10-6 m2/s vs. 0.4•10-6 m2/s). Charge transport is calculated to be strongly anisotropic for holes as well as electrons in both modifications. To verify these results experimental electron mobilities have been compared to the simulations. Good agreement was found with errors of less than 27%. As it was shown above, the calculation and measurement of transport properties between weakly coupled systems is possible. However, it is difficult to exactly determine the quality of the electronic coupling. For this reason a collaboration about strongly interacting π-systems was started between us and the research group of Prof. Ingo Fischer. There, [2.2]paracyclophanes and its derivates were investigated to show how hydroxyl substitution influences absorption properties. Overall, a combination of SCS-MP2 and SCS-CC2 performs best to address the description of geometric and electronic structures for both ground and excited states of these model systems as well as their parent compounds benzene and phenol. Only [2.2]paracyclophane shows a double minimum potential regarding a twist and shift motion between the benzene/phenol subunits towards each other. All other systems are less flexible due to their substitution pattern. Almost all [2.2]paracyclophanes display minor changes in their geometric structure upon excitation to the S1 state: The inter-ring distance shortens, but qualitatively they keep their shift and twist characteristics, although the extent of these deformations diminishes. The exception is p-DHPC, which turns from a shifted ground state structure into a twisted excited state structure. Consequently, the intensity of the 0-0 transition cannot be observed experimentally due to small Franck-Condon factors and impurities of o-DHPC. In the present thesis, the structures and their changes due to excitation are explained by electrostatic potentials as well as antibonding (bonding) HOMO (LUMO) orbitals. Adiabatic excitation energies have been corrected by ZPEs and result in accuracies with errors smaller than 0.1 eV. Note that corrections on the B3LYP level worsen the results and one has to apply SCS-CC2 to achieve this accuracy. These calculations allow an interpretation of the experimental [1+1]REMPI spectra. Band progressions of the twist, shift and breathing of the [2.2]paracyclophane skeleton vibrations have been identified and show good agreement to the experiment. This work shows that the substitution pattern in [2.2]paracyclophanes can have a significant impact on spectroscopic properties. Because these properties are directly linked to the transport properties of these materials, the hereby gained insight can be used to design materials with customized transport properties. It was shown that the SCS-CC2 method is very appropriate to predict the interaction between the π-systems
Small-angle X-ray scattering (SAXS) is a universal low-resolution method to study proteins in solution and to analyze structural changes in response to variations of conditions (pH, temperature, ionic strength etc). SAXS is hardly limited by the particle size, being applicable to the smallest proteins and to huge macromolecular machines like ribosomes and viruses. SAXS experiments are usually fast and require a moderate amount of purified material. Traditionally, SAXS is employed to study the size and shape of globular proteins, but recent developments have made it possible to quantitatively characterize the structure and structural transitions of metastable systems, e.g. partially or completely unfolded proteins. In the absence of complementary information, low-resolution macromolecular shapes can be reconstructed ab initio and overall characteristics of the systems can be extracted. If a high or low-resolution structure or a predicted model is available, it can be validated against the experimental SAXS data. If the measured sample is polydisperse, the oligomeric state and/or oligomeric composition in solution can be determined. One of the most important approaches for macromolecular complexes is a combined ab initio/rigid body modeling, when the structures (either complete or partial) of individual subunits are available and SAXS data is employed to build the entire complex. Moreover, this method can be effectively combined with information from other structural, computational and biochemical methods. All the above approaches are covered in a comprehensive program suite ATSAS for SAXS data analysis, which has been developed at the EMBL-Hamburg. In order to meet the growing demands of the structural biology community, methods for SAXS data analysis must be further developed. This thesis describes the development of two new modules, RANLOGS and EM2DAM, which became part of ATSAS suite. The former program can be employed for constructing libraries of linkers and loops de novo and became a part of a combined ab initio/rigid body modeling program CORAL. EM2DAM can be employed to convert electron microscopy maps to bead models, which can be used for modeling or structure validation. Moreover, the programs CRYSOL and CRYSON, for computing X-ray and neutron scattering patterns from atomic models, respectively, were refurbished to work faster and new options were added to them. Two programs, to be contributed to future releases of the ATSAS package, were also developed. The first program generates a large pool of possible models using rigid body modeling program SASREF, selects and refines models with lowest discrepancy to experimental SAXS data using a docking program HADDOCK. The second program refines binary protein-protein complexes using the SAXS data and the high-resolution models of unbound subunits. Some results and conclusions from this work are presented here. The developed approaches detailed in this thesis, together with existing ATSAS modules were additionally employed in a number of collaborative projects. New insights into the “structural memory” of natively unfolded tau protein were gained and supramodular structure of RhoA-specific guanidine nucleotide exchange factor was reconstructed. Moreover, high resolution structures of several hematopoietic cytokine-receptor complexes were validated and re-modeled using the SAXS data. Important information about the oligomeric state of yeast frataxin in solution was derived from the scattering patterns recorded under different conditions and its flexibility was quantitatively characterized using the Ensemble Optimization Method (EOM).
Characterisation of Metalloprotease-mediated EGFR Signal Transactivation after GPCR Stimulation
(2011)
In the context of metalloprotease-mediated transactivation of the epidermal growth factor receptor, different monoclonal antibodies against ADAM17 / TACE were characterized for their ability to block the sheddase. Activity of some of them was observed at doses between 2µg/mL and 10µg/mL. Kinetic analyses showed their activity starting at around 30 minutes. In cellular assays performed with the antibodies, especially upon treatment of cells with sphingosine-1-phosphate a reduction in proliferation was observed with some candidates. Moreover this study provides potential new roles for ß-Arrestins. Their involvement in the triple membrane-passing signal pathway of EGFR transactivation was shown. Furthermore, in overexpressing cellular model systems, an interaction between ADAM17 and ß-Arrestin1 could be observed. Detailed analysis discovered that phosphorylation of ß-Arrestin1 is crucial for this interaction. Additionally, the novel mechanism of UV-induced EGFR transactivation was extended to squamous cell carcinoma. The mechanism happens in a dose dependent manner and requires a metalloprotease to shed the proligand Amphiregulin. The involvement of both ADAM9 and ADAM17, being the metalloproteases responsible for this cleavage, was shown for SCC9 cells.
Humans have the tendency to react with congruent facial expressions when looking at an emotional face. Interestingly, recent studies revealed that several situational moderators can modulate strength and direction of these reactions. In current literature, congruent facial reactions to emotional facial expressions are usually described in terms of “facial mimicry” and interpreted as imitative behavior. Thereby, facial mimicry is understood as a process of pure motor resonance resulting from overlapping representations for the perception and the execution of a certain behavior. Motor mimicry, however, is not the only mechanism by which congruent facial reactions can occur. Numerous studies have shown that facial muscles also indicate valence evaluations. Furthermore, facial reactions are also determined by our current emotional state. These thoughts suggest that the modulation of congruent facial reactions to emotional expressions can be based on both motor and affective processes. However, a separation of motor and affective processes in facial reactions is hard to make. None of the published studies that tried that could show a clear involvement of one or the other process so far. Therefore, the aim of the present line of experiments is to shed light on the involvement of motor and affective processes in the modulation of congruent and incongruent facial reactions. Specifically, the experiments are designed to test the assumptions of a working model on mechanisms underlying the modulation of facial reactions and to examine the neuronal correlates involved in such modulations with a broad range of methods. Experiments 1 and 2 experimentally manipulate motor and affective mechanisms by using specific contexts. In the chose settings, motor process models and affective models of valence evaluations make competing predictions about resulting facial reactions. The results of Experiment 1 did not support the involvement of valence evaluations in the modulation of congruent and incongruent facial reactions to facial expressions. The results of Experiments 2a and 2b suggest that emotional reactions are the predominant determinant of facial reactions. Experiment 3 aimed at identifying the psychological mediators that indicate motor and affective mechanisms. Motor mechanisms are assessed via the psychological mediator empathy. Additionally, as a psychological mediator for clarifying the role of affective mechanisms subjective measures of the participants’ current emotional state in response to the presented facial expressions were taken. Mediational analyses show that the modulation of congruent facial reactions can be explained by a decrease of state cognitive empathy. This suggests that motor processes mediate the effects of the context on congruent facial reactions. However, such a mechanism could not be observed for incongruent reactions. Instead, it was found that affective processes in terms of emotional reactions are involved in incongruent facial reactions. Additionally, the involvement of a third class of processes, namely strategic processes, was observed. Experiment 4 aimed at investigating whether a change in the strength of perception can explain the contextual modulation of facial reactions to facial expressions. According to motor process models the strength of perception is directly related to the strength of the spread of activation from perception to the execution of an action and thereby to the strength of the resulting mimicry behavior. The results suggest that motor mechanisms were involved in the modulation of congruent facial reactions by attitudes. Such an involvement of motor mechanisms could, however, not be observed for the modulation of incongruent reactions. In Experiment 5 the investigation of neuronal correlates shall be extended to the observation of involved brain areas via fMRI. The proposed brain areas depicting motor areas were prominent parts of the mirror neuron system. The regions of interest depicting areas involved in the affective processing were amygdala, insula, striatum. Furthermore, it could be shown that changes in the activity of parts of the MNS are related to the modulation of congruent facial reactions. Further on, results revealed the involvement of affective processes in the modulation of incongruent facial reactions. In sum, these results lead to a revised working model on the mechanisms underlying the modulation of facial reactions to emotional facial expressions. The results of the five experiments provide strong support for the involvement of motor mechanisms in congruent facial reactions. No evidence was found for the involvement of motor mechanisms in the occurrence or modulation of incongruent facial reactions. Furthermore, no evidence was found for the involvement of valence evaluations in the modulation of facial reactions. Instead, emotional reactions were found to be involved in the modulation of mainly incongruent facial reactions.
The field of small satellite formations and constellations attracted growing attention, based on recent advances in small satellite engineering. The utilization of distributed space systems allows the realization of innovative applications and will enable improved temporal and spatial resolution in observation scenarios. On the other side, this new paradigm imposes a variety of research challenges. In this monograph new networking concepts for space missions are presented, using networks of ground stations. The developed approaches combine ground station resources in a coordinated way to achieve more robust and efficient communication links. Within this thesis, the following topics were elaborated to improve the performance in distributed space missions: Appropriate scheduling of contact windows in a distributed ground system is a necessary process to avoid low utilization of ground stations. The theoretical basis for the novel concept of redundant scheduling was elaborated in detail. Additionally to the presented algorithm was a scheduling system implemented, its performance was tested extensively with real world scheduling problems. In the scope of data management, a system was developed which autonomously synchronizes data frames in ground station networks and uses this information to detect and correct transmission errors. The system was validated with hardware in the loop experiments, demonstrating the benefits of the developed approach.