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In the present thesis the MBE growth and sample characterization of HgTe structures is investigated
and discussed. Due to the first experimental discovery of the quantum Spin Hall effect
(QSHE) in HgTe quantum wells, this material system attains a huge interest in the spintronics
society. Because of the long history of growing Hg-based heterostructures here at the Experimentelle
Physik III in Würzburg, there are very good requirements to analyze this material
system more precisely and in new directions. Since in former days only doped HgTe quantum
wells were grown, this thesis deals with the MBE growth in the (001) direction of undoped
HgTe quantum wells, surface located quantum wells and three dimensional bulk layers. All
Hg-based layers were grown on CdTe substrates which generate strain in the layer stack and
provide therefore new physical effects. In the same time, the (001) CdTe growth was investigated
on n-doped (001) GaAs:Si because the Japanese supplier of CdTe substrates had a
supply bottleneck due to the Tohoku earthquake and its aftermath in 2011.
After a short introduction of the material system, the experimental techniques were demonstrated
and explained explicitly. After that, the experimental part of this thesis is displayed.
So, the investigation of the (001) CdTe growth on (001) GaAs:Si is discussed in chapter 4.
Firstly, the surface preparation of GaAs:Si by oxide desorption is explored and analyzed.
Here, rapid thermal desorption of the GaAs oxide with following cool down in Zn atmosphere
provides the best results for the CdTe due to small holes at the surface, while e.g. an atomic
flat GaAs buffer deteriorates the CdTe growth quality. The following ZnTe layer supplies the
(001) growth direction of the CdTe and exhibits best end results of the CdTe for 30 seconds
growth time at a flux ratio of Zn/Te ~ 1/1.2. Without this ZnTe layer, CdTe will grow in the
(111) direction. However, the main investigation is here the optimization of the MBE growth
of CdTe. The substrate temperature, Cd/Te flux ratio and the growth time has to be adjusted
systematically. Therefore, a complex growth process is developed and established. This optimized
CdTe growth process results in a RMS roughness of around 2.5 nm and a FWHM value
of the HRXRD w-scan of 150 arcsec. Compared to the literature, there is no lower FWHM
value traceable for this growth direction. Furthermore, etch pit density measurements show
that the surface crystallinity is matchable with the commercial CdTe substrates (around 1x10^4
cm^(-2)). However, this whole process is not completely perfect and offers still room for improvements.
The growth of undoped HgTe quantum wells was also a new direction in research in contrast
to the previous n-doped grown HgTe quantum wells. Here in chapter 5, the goal of very low
carrier densities was achieved and therefore it is now possible to do transport experiments in
the n - and p - region by tuning the gate voltage. To achieve this high sample quality, very precise
growth of symmetric HgTe QWs and their HRXRD characterization is examined. Here,
the quantum well thickness can now determined accurate to under 0.3 nm. Furthermore, the transport analysis of different quantum well thicknesses shows that the carrier density and
mobility increase with rising HgTe layer thickness. However, it is found out that the band
gap of the HgTe QW closes indirectly at a thickness of 11.6 nm. This is caused by the tensile
strained growth on CdTe substrates. Moreover, surface quantum wells are studied. These
quantum wells exhibit no or a very thin HgCdTe cap. Though, oxidization and contamination
of the surface reduces here the carrier mobility immensely and a HgCdTe layer of around 5 nm
provides the pleasing results for transport experiments with superconductors connected to the
topological insulator [119]. A completely new achievement is the realization of MBE growth
of HgTe quantum wells on CdTe/GaAs:Si substrates. This is attended by the optimization of
the CdTe growth on GaAs:Si. It exposes that HgTe quantum wells grown in-situ on optimized
CdTe/GaAs:Si show very nice transport data with clear Hall plateaus, SdH oscillations, low
carrier densities and carrier mobilities up to 500 000 cm^2/Vs. Furthermore, a new oxide etching
process is developed and analyzed which should serve as an alternative to the standard
HCl process which generates volcano defects at some time. However, during the testing time
the result does not differ in Nomarski, HRXRD, AFM and transport measurements. Here,
long-time tests or etching and mounting in nitrogen atmosphere may provide new elaborate
results.
The main focus of this thesis is on the MBE growth and standard characterization of HgTe bulk
layers and is discussed in chapter 6. Due to the tensile strained growth on lattice mismatched
CdTe, HgTe bulk opens up a band gap of around 22 meV at the G-point and exhibits therefore
its topological surface states. The analysis of surface condition, roughness, crystalline quality,
carrier density and mobility via Nomarski, AFM, XPS, HRXRD and transport measurements
is therefore included in this work. Layer thickness dependence of carrier density and mobility
is identified for bulk layer grown directly on CdTe substrates. So, there is no clear correlation
visible between HgTe layer thickness and carrier density or mobility. So, the carrier density is
almost constant around 1x10^11 cm^(-2) at 0 V gate voltage. The carrier mobility of these bulk
samples however scatters between 5 000 and 60 000 cm^2/Vs almost randomly. Further experiments
should be made for a clearer understanding and therefore the avoidance of unusable
bad samples.But, other topological insulator materials show much higher carrier densities and
lower mobility values. For example, Bi2Se3 exhibits just density values around 1019 cm^(-2)
and mobility values clearly below 5000 cm2/Vs. The carrier density however depends much
on lithography and surface treatment after growth. Furthermore, the relaxation behavior and
critical thickness of HgTe grown on CdTe is determined and is in very good agreement with
theoretical prediction (d_c = 155 nm). The embedding of the HgTe bulk layer between HgCdTe
layers created a further huge improvement. Similar to the quantum well structures the carrier
mobility increases immensely while the carrier density levels at around 1x10^11 cm^(-2) at 0
V gate voltage as well. Additionally, the relaxation behavior and critical thickness of these
barrier layers has to be determined. HgCdTe grown on commercial CdTe shows a behavior as
predicted except the critical thickness which is slightly higher than expected (d_c = 850 nm).
Otherwise, the relaxation of HgCdTe grown on CdTe/GaAs:Si occurs in two parts. The layer
is fully strained up to 250 nm. Between 250 nm and 725 nm the HgCdTe film starts to relax
randomly up to 10 %. The relaxation behavior for thicknesses larger than 725 nm occurs than
linearly to the inverse layer thickness. A explanation is given due to rough interface conditions
and crystalline defects of the CdTe/GaAs:Si compared to the commercial CdTe substrate. HRXRD and AFM data support this statement. Another point is that the HgCdTe barriers protect the active HgTe layer and because of the high carrier mobilities the Hall measurements provide new transport data which have to be interpreted more in detail in the future. In addition, HgTe bulk samples show very interesting transport data by gating the sample from the top and the back. It is now possible to manipulate the carrier densities of the top and bottom surface states almost separately. The back gate consisting of the n-doped GaAs substrate and the thick insulating CdTe buffer can tune the carrier density for Delta(n) ~ 3x10^11 cm^(-2). This is sufficient to tune the Fermi energy from the p-type into the n-type region [138].
In this thesis it is shown that strained HgTe bulk layers exhibit superior transport data by embedding between HgCdTe barrier layers. The n-doped GaAs can here serve as a back gate.
Furthermore, MBE growth of high crystalline, undoped HgTe quantum wells shows also new
and extended transport output. Finally, it is notable that due to the investigated CdTe growth
on GaAs the Hg-based heterostructure MBE growth is partially independent from commercial
suppliers.
Identification of human host cell factors involved in \(Staphylococcus\) \(aureus\) 6850 infection
(2015)
Staphylococcus aureus is both a human commensal and a pathogen. 20%-30% of all individuals are permanently or occasionally carriers of S. aureus without any symptoms. In contrast to this, S. aureus can cause life-threatening diseases e.g. endocarditis, osteomyelitis or sepsis. Here, the increase in antibiotic resistances makes it more and more difficult to treat these infections and hence the number of fatalities rises constantly. Since the pharmaceutical industry has no fundamentally new antibiotics in their pipeline, it is essential to better understand the interplay between S. aureus and the human host cell in order to find new, innovative treatment options.
In this study, a RNA interference based whole genome pool screen was performed to identify human proteins, which play a role during S. aureus infections. Since 1,600 invasion and 2,271 cell death linked factors were enriched at least 2 fold, the big challenge was to filter out the important ones. Here, a STRING pathway analysis proved to be the best option. Subsequently, the identified hits were validated with the help of inhibitors and a second, individualised small interfering RNA-based screen.
In the course of this work two important steps were identified, that are critical for host cell death: the first is bacterial invasion, the second phagosomal escape. The second step is obligatory for intracellular bacterial replication and subsequent host cell death. Invasion in turn is determining for all following events. Accordingly, the effect of the identified factors towards these two crucial steps was determined. Under screening conditions, escape was indirectly measured via intracellular replication. Three inhibitors (JNKII, Methyl-beta-cyclodeytrin, 9-Phenantrol) could be identified for the invasion process. In addition, siRNAs targeted against 16 different genes (including CAPN2, CAPN4 and PIK3CG), could significantly reduce bacterial invasion. Seven siRNAs (FPR2, CAPN4, JUN, LYN, HRAS, AKT1, ITGAM) were able to inhibit intracellular replication significantly. Further studies showed that the IP3 receptor inhibitor 2-APB, the calpain inhibitor calpeptin and the proteasome inhibitor MG-132 are able to prevent phagosomal escape and as a consequence intracellular replication and host cell death.
In this context the role of calpains, calcium, the proteasome and the mitochondrial membrane potential was further investigated in cell culture. Here, an antagonistic behaviour of calpain 1 and 2 during bacterial invasion was observed. Intracellular calcium signalling plays a major role, since its inhibition protects host cells from death. Beside this, the loss of mitochondrial membrane potential is characteristic for S. aureus infection but not responsible for host cell death. The reduction of membrane potential can be significantly diminished by the inhibition of the mitochondrial Na+/Ca2+ exchanger.
All together, this work shows that human host cells massively contribute to different steps in S. aureus infection rather than being simply killed by bacterial pore-forming toxins. Various individual host cell factors were identified, which contribute either to invasion or to phagosomal escape and therefore to S. aureus induced cytotoxicity. Finally, several inhibitors of S. aureus infection were identified. One of them, 2-APB, was already tested in a sepsis mouse model and reduced bacterial load of kidneys.
Thus, this study shows valuable evidence for novel treatment options against S. aureus infections, based on the manipulation of host cell signalling cascades.
Pavlovian fear conditioning describes a form of associative learning in which a previously neutral stimulus elicits a conditioned fear response after it has been temporally paired with an aversive consequence. Once acquired, the fear response can be extinguished by repeatedly presenting the former neutral stimulus in the absence of the aversive consequence. Although most patients suffering from anxiety disorders cannot recall a specific conditioned association between a formerly neutral stimulus and the feeling of anxiety, the produced behavioral symptoms, such as avoidance or safety behavior to prevent the anticipated aversive consequence are commonly exhibited in all anxiety disorders. Moreover, there is considerable similarity between the neural structures involved in fear and extinction in the rodent and in the human. Translational research thus contributes to the understanding of neural circuitries involved in the development and maintenance of anxiety disorders, and further provides hypotheses for improvements in treatment strategies aiming at inhibiting the fear response.
Since the failure to appropriately inhibit or extinguish a fear response is a key feature of pathological anxiety, the present preclinical research focuses on the interplay between the amygdala and the medial prefrontal cortex (mPFC) during fear learning with particular regard to the prefrontal recruitment during fear extinction and its recall. By firstly demonstrating an increased mPFC activity over the time course of extinction learning with functional near-infrared spectroscopy, the main study of this dissertation focused on repetitive transcranial magnetic stimulation (rTMS) as brain stimulation technique suitable to enhance extinction learning. Since hypofrontality is assumed to underlie the maintenance of pathological anxiety, rTMS application revealed an increased mPFC activity, which resulted in a decreased fear response on the behavioral level both during extinction learning as well as during the recall of extinction 24 hours later and in the absence of another stimulation. The following attempt to improve the generalization of extinction with rTMS from an extinguished stimulus to a second stimulus which was reinforced but not extinguished was at least partially evidenced. By revealing an increased prefrontal activity to the non-extinguished stimulus, the active and the placebo rTMS condition, however, did not differ on behavioral parameters. These preclinical findings were discussed in the light of genetic and environmental risk factors with special regard to the combination of a risk variant of the neuropeptide S receptor 1 gene polymorphism (NPSR1 rs324981) and anxiety sensitivity. While the protective homozygous AA genotype group showed no correlation with anxiety sensitivity, the NPSR1 T genotype group exhibited an inverse correlation with anxiety sensitivity in the presence of emotionally negative stimuli. In light of other findings assuming a role of the NPSR1 T allele in panic disorder, the revealed hypofrontality was discussed to define a risk group of patients who might particularly benefit from an augmentation of exposure therapy with rTMS.
Taken together, the presented studies support the central role of the prefrontal cortex in fear extinction and suggest the usefulness of rTMS as an augmentation strategy to exposure therapy in order to decrease therapy relapse rates. The combination of rTMS and extinction has been herein evidenced to modulate fear processes in a preclinical approach thereby establishing important implications for the design of future clinical studies.
Aspergillus fumigatus is the most common cause for invasive fungal infections, a disease associated with high mortality in immune-compromised patients. CD1d-restricted invariant Natural Killer T (iNKT) cells compose a small subset of T cells known to impact the immune response towards various infectious pathogens. To investigate the role of human iNKT cells during A. fumigatus infection, we studied their activation as determined by CD69 expression and cytokine production in response to distinct fungal morphotypes in the presence of different CD1d⁺ antigen presenting cells using flow cytometry and multiplex ELISA. Among CD1d⁺ subpopulations, CD1d⁺CD1c⁺ mDCs showed the highest potential to activate iNKT cells on a per cell basis. The presence of A. fumigatus decreased this effect of CD1d⁺CD1c⁺ mDCs on iNKT cells and led to reduced secretion of TNF-α, G-CSF and RANTES. Production of other Th1 and Th2 cytokines was not affected by the fungus, suggesting an immune-modulating function for human iNKT cells during A. fumigatus infection.
In this work, Emilio de’ Cavalieri’s musical sources will serve as a platform in an attempt to overcome the lack of explicit original guidance and guidelines of performance practice of early basso continuo. It will offer a methodology that will allow the unraveling of implicit theory and practice hidden in the music sources themselves. The methodology of this work is based on the fact that Cavalieri’s Rappresentatione di Anima e di Corpo (Rome, 1600) is printed using a unique continuo notation, which is detailed, precise, and coherent—more so than any other contemporaneous printed source. Through thorough investigation of this continuo notation, it will be possible to enrich our practical as well as theoretical knowledge of the early basso continuo. A wide range of evidences will emerge, covering a wide spectrum, from general questions of instrumentation up to the very notes that should be played. Using a special notation for illustration, I will demonstrate how Cavalieri’s basso continuo figuration, when combined with the known rules of counterpoint, is at times equivalent to written-out realizations.
As part of this study, different models of contrapuntal phenomena will be analyzed, mainly in the context of cadences but also in the context of other progressions that deserve to be recognized as formulas. Their theoretical structure will be uncovered as well as their actual application in music and their manner of execution. The prevalence of each phenomenon will be examined in order to distinguish common and recurrent phenomena from rarely-used formulas. In order to do this, and due to problematic historical terminology, it will be necessary to create a set of new terms inspired by Cavalieri’s notation. Those terms will not be solely relevant to Cavalieri’s music; the models were made flexible so that they may prove useful for future discussions or studies of early continuo in general.
Out of the known early basso continuo sources, a “mini-compendium” of practical implications will be extracted in order to exhaust the practical knowledge implicit in them. This endeavor will be concluded with a list of rules and general advice drawn from the sources, but it will also reveal some problematic aspects of these sources.
This endeavor will make it possible to compare the “new” implicit practical information deduced in this study with the explicit known continuo sources, and assess to what extant Cavalieri’s continuo practices illuminate and complement the known knowledge from previously-studied yet opaque sources of basso continuo.
The focus of this dissertation is on Cavalieri’s music, but the findings proposed here will be traced so as to illuminate the broader realm of the early Baroque and the 17th century musical style at large. Finally, this new research about Cavalieri’s music and continuo, along reevaluating of its place among the common continuo sources, calls for redistribution of source materials on the traditional “shelf” of early basso continuo sources.
Summary (English)
I. Human induced global change threatens biodiversity and trophic interactions. Fragmentation is considered as one of the major threats to biodiversity and can cause reduced species richness, population declines, loss of genetic diversity and disruption of trophic interactions such as predation and parasitism. However forest fragmentation effects can be eclectic due to species specific traits. Specialist species with narrower niches or at higher trophic levels may be in danger of extinction whereas generalist species with less specific habitat requirements may even profit from fragmentation. In the tropics, known as “the” terrestrial biodiversity hotspots, even biodiversity inventories are often lacking, especially in forest canopies. Ongoing deforestation and resulting fragmentation in tropical regions are expected to heavily affect ecosystem functions by changes in biodiversity, community compositions and disruption of trophic interactions. It is even less unknown in what extent different global change drivers for example climate change and fragmentation interact. It is unlikely that deforestation will end, so that small secondary forest fragments will be important habitat elements that must be investigated to optimize their potential contribution to biodiversity conservation.
This dissertation aimed to disentangle the effects of forest fragmentation on trap-nesting bee and wasp communities in small secondary forest fragments addressing the following main questions:
1) Are there interactive effects between microclimate and fragmentation on the abundance of bees and wasps, their mortality - and parasitism rates (Chapter II)?
2) How does fragmentation affect bee biodiversity from canopy to the understory with considerations of single species patterns (Chapter III)?
3) How is fragmentation affecting diversity and community composition of different trophic levels between understory and canopy with emphasis on the host-antagonist relation? (Chapter IV).
II. A variety of global change drivers affect biodiversity and trophic interactions. The combined effects of habitat fragmentation and climate change are poorly understood and with ongoing deforestation and agricultural intensification secondary rainforest fragments might contribute to biodiversity conservation and mitigation of climate warming. This chapter investigated the interactive effects of habitat fragmentation and microclimate on the abundance and biotic interactions of trap-nesting bees and wasps in secondary forest fragments in the Northeastern lowlands of Costa Rica.
Habitat area did not affect hymenopteran abundance, parasitism and mortality rates, but tree location- from the forest border to the forest center- influenced all variables. Interactive effects were found such as in the higher mortality rates at interior locations in larger fragments. Mean temperature at edge and interior locations led to significant effects on all tested variables and interactive effects between temperature and tree locations were found. Abundances at interior locations were significantly higher with increasing temperatures. Mortality rates at interior location increased at lower mean temperatures, whereas higher temperatures at edges marginally increased mortality rates. Our results indicate, that edge effects, mediated by altered microclimatic conditions, significantly change biotic interactions of trap-nesting hymenopterans in small secondary fragments.
III. This chapter focusses on the vertical distribution of bees, their parasitism and mortality rates as well as single species patterns in relation to fragment size and edge effects in secondary rainforest remnants.
No size effects on bee abundance, bee diversity and on parasitism- and mortality rates were found. Bees were least abundant at the intermediate height and were most abundant in the understory; whereas the highest diversity was found in the canopy. Tree location had no effect on bee abundance, but on bee diversity since most species were found in the forest interior. The cuckoo bees Aglaomelissa duckei and Coelioxys sp. 1 only partly followed the patterns of their hosts, two Centris species.
Edge effects greatly influenced the bee community, so that the amount of edge habitat in secondary forest fragments will influence the conservation value for bees.
IV. In this section the effects of habitat fragmentation on biodiversity, on community structure of hosts and natural enemies as well as the relation of hosts and antagonists were investigated from the understory to the canopy. The results stress the importance to monitor biodiversity, community composition and trophic interactions from the understory to the canopy. The higher trophic level of the antagonists was found to be more sensitive to fragment size compared to their hosts. Again edge effects were found to be the dominant driver since both host and antagonist richness, as well as community compositions were strongly affected. Ongoing fragmentation and increased amount of edge habitat could favor few abundant disturbance-adapted species over the rare and more diverse forest-adapted species. A positive-density dependent parasitism rate was demonstrated, as well as an increase of the parasitism rate not only with antagonist abundance but also diversity.
Small secondary forest fragments surely can contribute to the conservation of biodiversity and trophic interactions, but increase of edge habitat will have negative consequences on above-ground nesting Hymenoptera, so that important interactions such as pollination, predation and parasitism could be disrupted. Therefore small forest fragments could contribute to biodiversity conservation but will not be able to compensate for the loss of large areas of primary forests.
V. This dissertation contributes to the understanding of habitat area - and edge effects as well as the interaction of those with microclimatic conditions in small secondary rainforest fragments. As study system trap nests inhabited by solitary above-ground nesting bees, wasps and their natural enemies were chosen because they allow to study trophic interactions along their whole vertical distribution from the understory to the canopy. The effect of fragment size was rather weak, however, larger sizes affected the diversity of natural enemies positively, proofing the hypothesis that higher trophic levels react more sensitive to habitat loss. Edge effects heavily affected the abundance, diversity and community composition of hosts and their natural enemies as well as parasitism and mortality rates. Increased edge conditions resulting from ongoing fragmentation and deforestation will therefore negatively affect bees, wasps and their trophic interactions with natural enemies. Those changes affect important processes such as pollination, predation and parasitism, which could result in changes of ecosystem functioning. This study showed the importance to include all strata in biodiversity monitoring since height did matter for the trap-nesting communities. Diversity was shown to be higher in the canopy and community composition did change significantly. To conclude we could show that secondary forest fragments can sustain a trap-nesting bee and wasp community, but the amount of interior habitat is highly important for the conservation of forest-adapted species. Probably the conservation of large primary forest in combination with a high habitat connectivity, for example with small secondary forest fragments, will help to sustain biodiversity and ecosystem functioning better than the mere presence of small forest fragments.
Merocyanine Dyes as Organic Semiconductors for Vacuum-processed Solar Cell and Transistor Devices
(2015)
The present thesis comprises the synthesis of new functional merocyanine dyes, the study of their electro-optical properties as well as solid state packing and their application as p-type semiconductor materials in transistor and solar cell devices. The absorption properties of the obtained compounds could be modified by variation of the donor unit, the introduction of electron-withdrawing substituents in the acceptor unit or elongation of the polymethine chain. For a particular dye, the absorption band could be shifted by more than 160 nm by increasing the solvent polarity due to a conformational switch between a merocyanine-like and a cyanine-like structure. Single crystal analyses revealed that the studied dyes tend to pack either in an antiparallel fashion forming dimers with no overall dipole moment or in a staircase-like pattern where the dipole moments point to the same direction and are only balanced by another staircase oriented in the opposite direction (stair dimer). With respect to application as semiconductor materials, the latter packing arrangement resulted most favorable for charge carrier mobility. We concluded that this packing motif is preserved in the solar cell devices, where the selenium-containing dye afforded the highest performance of this series for an optimized planar-mixed heterojunction solar cell (6.2 %).
In this work, Emilio de’ Cavalieri’s musical sources will serve as a platform in an attempt to overcome the lack of explicit original guidance and guidelines of performance practice of early basso continuo. It will offer a methodology that will allow the unraveling of implicit theory and practice hidden in the music sources themselves. The methodology of this work is based on the fact that Cavalieri’s Rappresentatione di Anima e di Corpo (Rome, 1600) is printed using a unique continuo notation, which is detailed, precise, and coherent—more so than any other contemporaneous printed source. Through thorough investigation of this continuo notation, it will be possible to enrich our practical as well as theoretical knowledge of the early basso continuo. A wide range of evidences will emerge, covering a wide spectrum, from general questions of instrumentation up to the very notes that should be played. Using a special notation for illustration, I will demonstrate how Cavalieri’s basso continuo figuration, when combined with the known rules of counterpoint, is at times equivalent to written-out realizations.
As part of this study, different models of contrapuntal phenomena will be analyzed, mainly in the context of cadences but also in the context of other progressions that deserve to be recognized as formulas. Their theoretical structure will be uncovered as well as their actual application in music and their manner of execution. The prevalence of each phenomenon will be examined in order to distinguish common and recurrent phenomena from rarely-used formulas. In order to do this, and due to problematic historical terminology, it will be necessary to create a set of new terms inspired by Cavalieri’s notation. Those terms will not be solely relevant to Cavalieri’s music; the models were made flexible so that they may prove useful for future discussions or studies of early continuo in general.
Out of the known early basso continuo sources, a “mini-compendium” of practical implications will be extracted in order to exhaust the practical knowledge implicit in them. This endeavor will be concluded with a list of rules and general advice drawn from the sources, but it will also reveal some problematic aspects of these sources.
This endeavor will make it possible to compare the “new” implicit practical information deduced in this study with the explicit known continuo sources, and assess to what extant Cavalieri’s continuo practices illuminate and complement the known knowledge from previously-studied yet opaque sources of basso continuo.
The focus of this dissertation is on Cavalieri’s music, but the findings proposed here will be traced so as to illuminate the broader realm of the early Baroque and the 17th century musical style at large. Finally, this new research about Cavalieri’s music and continuo, along reevaluating of its place among the common continuo sources, calls for redistribution of source materials on the traditional “shelf” of early basso continuo sources.
The thesis focuses on the valuation of firms in a system context where cross-holdings of the firms in liabilities and equities are allowed and, therefore, systemic risk can be modeled on a structural level. A main property of such models is that for the determination of the firm values a pricing equilibrium has to be found. While there exists a small but growing amount of research on the existence and the uniqueness of such price equilibria, the literature is still somewhat inconsistent. An example for this fact is that different authors define the underlying financial system on differing ways. Moreover, only few articles pay intense attention on procedures to find the pricing equilibria. In the existing publications, the provided algorithms mainly reflect the individual authors' particular approach to the problem. Additionally, all existing methods do have the drawback of potentially infinite runtime.
For these reasons, the objects of this thesis are as follows. First, a definition of a financial system is introduced in its most general form in Chapter 2. It is shown that under a fairly mild regularity condition the financial system has a unique existing payment equilibrium. In Chapter 3, some extensions and differing definitions of financial systems that exist in literature are presented and it is shown how these models can be embedded into the general model from the proceeding chapter. Second, an overview of existing valuation algorithms to find the equilibrium is given in Chapter 4, where the existing methods are generalized and their corresponding mathematical properties are highlighted. Third, a complete new class of valuation algorithms is developed in Chapter 4 that includes the additional information whether a firm is in default or solvent under a current payment vector. This results in procedures that are able find the solution of the system in a finite number of iteration steps. In Chapter 5, the developed concepts of Chapter 4 are applied to more general financial systems where more than one seniority level of debt is present. Chapter 6 develops optimal starting vectors for non-finite algorithms and Chapter 7 compares the existing and the new developed algorithms concerning their efficiency in an extensive simulation study covering a wide range of possible settings for financial systems.
\textbf{Molecular Determinants of Drug-Target Residence Times of Bacterial Enoyl-ACP Reductases.} Whereas optimization processes of early drug discovery campaigns are often affinity-driven, the drug-target residence time $t_R$ should also be considered due to an often strong correlation with \textit{in vivo} efficacy of compounds. However, rational optimization of $t_R$ is not straightforward and generally hampered by the lack of structural information about the transition states of ligand association and dissociation. The enoyl-ACP reductase FabI of the fatty acid synthesis (FAS) type II is an important drug-target in antibiotic research. InhA is the FabI enzyme of \textit{Mycobacterium tuberculosis}, which is known to be inhibited by various compound classes. Slow-onset inhibition of InhA is assumed to be associated with the ordering of the most flexible protein region, the substrate binding loop (SBL). Diphenylethers are one class of InhA inhibitors that can promote such SBL ordering, resulting in long drug-target residence times. Although these inhibitors are energetically and kinetically well characterized, it is still unclear how the structural features of a ligand affect $t_R$.
Using classical molecular dynamics (MD) simulations, recurring conformational families of InhA protein-ligand complexes were detected and structural determinants of drug-target residence time of diphenyl\-ethers with different kinetic profiles were described. This information was used to deduce guidelines for efficacy improvement of InhA inhibitors, including 5'-substitution on the diphenylether B-ring. The validity of this suggestion was then analyzed by means of MD simulations.
Moreover, Steered MD (SMD) simulations were employed to analyze ligand dissociation of diphenylethers from the FabI enzyme of \textit{Staphylococcus aureus}. This approach resulted in a very accurate and quantitative linear regression model of the experimental $ln(t_R)$ of these inhibitors as a function of the calculated maximum free energy change of induced ligand extraction. This model can be used to predict the residence times of new potential inhibitors from crystal structures or valid docking poses.
Since correct structural characterization of the intermediate enzyme-inhibitor state (EI) and the final state (EI*) of two-step slow-onset inhibition is crucial for rational residence time optimization, the current view of the EI and EI* states of InhA was revisited by means of crystal structure analysis, MD and SMD simulations. Overall, the analyses affirmed that the EI* state is a conformation resembling the 2X23 crystal structure (with slow-onset inhibitor \textbf{PT70}), whereas a twist of residues Ile202 and Val203 with a further opened helix $\alpha 6$ corresponds to the EI state. Furthermore, MD simulations emphasized the influence of close contacts to symmetry mates in the SBL region on SBL stability, underlined by the observation that an MD simulation of \textbf{PT155} chain A with chain B' of a symmetry mate in close proximity of the SBL region showed significantly more stable loops, than a simulation of the tetrameric assembly. Closing Part I, SMD simulations were employed which allow the delimitation of slow-onset InhA inhibitors from rapid reversible ligands.
\textbf{Prediction of \textit{Mycobacterium tuberculosis} Cell Wall Permeability.} The cell wall of \textit{M. tuberculosis} hampers antimycobacterial drug design due to its unique composition, providing intrinsic antibiotic resistance against lipophilic and hydrophilic compounds. To assess the druggability space of this pathogen, a large-scale data mining endeavor was conducted, based on multivariate statistical analysis of differences in the physico-chemical composition of a normally distributed drug-like chemical space and a database of antimycobacterial--and thus very likely permeable--compounds. The approach resulted in the logistic regression model MycPermCheck, which is able to predict the permeability probability of small organic molecules based on their physico-chemical properties. Evaluation of MycPermCheck suggests a high predictive power. The model was implemented as a freely accessible online service and as a local stand-alone command-line version.
Methodologies and findings from both parts of this thesis were combined to conduct a virtual screening for antimycobacterial substances. MycPermCheck was employed to screen the chemical permeability space of \textit{M. tuberculosis} from the entire ZINC12 drug-like database. After subsequent filtering steps regarding ADMET properties, InhA was chosen as an exemplary target. Docking to InhA led to a principal hit compound, which was further optimized. The quality of the interaction of selected derivatives with InhA was subsequently evaluated using MD and SMD simulations in terms of protein and ligand stability, as well as maximum free energy change of induced ligand egress. The results of the presented computational experiments suggest that compounds with an indole-3-acethydrazide scaffold might constitute a novel class of InhA inhibitors, worthwhile of further investigation.
Following the early experiences in aviation, medical simulation has rapidly
evolved into one of the most novel educational tools of the last three decades. In addition to its
use in training individuals or teams in crisis resource management, simulation has been studied as
a tool to evaluate technical and non-technical skills of individuals as well as, more recently,
entire medical teams.
It is usually fairly difficult to obtain clinical reference data from critical events to refute
claims that the management of actual events fell below what could reasonably be expected and we
demonstrated the use of rank order statistics to calculate quantiles with confidence limits for
management times of critical obstetrical events using data from realistic simulation. This approach
could be used to describe the distribution of treatment times in order to assist in deciding what
performance may constitute an outlier. It can also identify particular challenges of clinical
practice and allow the development of educational curricula. While the information derived from
simulation has to be interpreted with a high degree of caution for a clinical context, it may
represent a further ‘added value’ or important step in establishing simulation as a training tool
and to provide information that could be used in an appropriate clinical context for adverse
events. Large amounts of data (such as from a simulation registry) would allow the calculation of
acceptable confidence intervals for the required
outcome parameters as well as actual tolerance limits.
Lattice forces are based on the attraction between the single moieties of molecules. The strength of lattice forces has an impact on the solid state and related physical properties such as melting point, boiling point, vapor pressure solvation and solubility. For solvation to occur, energy is required to break the lattice forces attracting ions and molecules among themselves. The energy for breaking up the attraction between the molecules is gained from the energy released when ions or molecules of the lattice associate with molecules of the solvent. Solubility is therefore, directly linked to the energy which is required to break the lattice forces and the energy which is liberated by solvation of the molecules or ions. Based on this relation, the lattice forces in two acidic compounds and a neutral compound were subsequently lowered by different approaches with the intention to increase the solubility, supersaturation, and dissolution rate.
The conversion to an ionic liquid and the embedding of the compound in a pH-sensitive matrix in an amorphous state were investigated with an acidic compound and its pro-drug. The tetrabutylphosphonium (TBPH) salt showed the most promising properties among the tested counter ions. It alters the properties of the compound from a highly crystalline physicochemical state to an amorphous readily soluble material showing supersaturation in a wider pH range and higher solubility than the sodium and potassium salts. A solid dispersion approach was developed in parallel. Solid dispersions with two different pH-sensitive polymers and different drug load were prepared by lyophilization to determine the miscibility of the compound and the polymer by differential scanning calorimetry (DSC). A miscibility of 50% of the amorphous acid with the pH-sensitive Eudragit L100-55 matrix and a miscibility of 40% with hydroxypropyl methylcellulose acetate succinate (HPMC-AS) was found. Both approaches, the TBPH salt and the solid dispersion based on the pH-sensitive Eudragit L100-55 were tested in vivo. The TBPH salt was dosed in a buffered solution to prevent precipitation in the acidic stomach pH. This resulted in BAV higher than the crystalline suspension but lower than the solid dispersion. There were no acute toxicology effects seen. Thus, TBPH was considered safe for further studies. The TBPH salts were very hygroscopic, sticky and prone to precipitation as free compound when exposed to low pH when simulating the passage through the stomach. Thus, the principle of the ionic liquid was combined with the principle of an amorphous solid dispersion. This mitigated the risk of precipitation of the TBPH salt during the passage of the stomach. Also delinquency upon open storage was improved by embedding the TBPH salt in a pH-sensitive polymer. Dissolution tests mimicking the pH gradient in the gastro intestinal tract confirmed the protective properties of the pH-sensitive polymer matrices against recrystallization at low stomach pH in vitro. Furthermore, supersaturation at pH ranges relevant in the intestines of preclinical species or humans was observed. The TBPH solid dispersion showed superior supersaturation behavior in vitro compared to the free acid in pH-sensitive matrix. However, equally increased bioavailability (BAV) was observed when the amorphous solid dispersion contained the free acid form or the TBPH salt. Absorption seemed to be so fast that the short in vitro supersaturation observed for the free from in pH-sensitive matrix was already sufficient for complete absorption within 15 - 30 minutes. This is in accordance with the short tmax of around 15 - 30 minutes after oral application of the low lattice force principles. The pharmacokinetic (PK) profile became the main focus of further optimization as the BAV was maximized already. Early maximal plasma concentration (tmax) went along with high maximal plasma concentration (Cmax) for the low lattice force principles. Central nervous system related side effects as consequence of the PK profile with such a high Cmax were likely to happen and therefore, the formulation principles were modified to maintain the doubled BAV and reduce the observed Cmax. Additionally, the compound showed a short half-life requiring a two times daily dose, which is suboptimal for a chronic treatment. The amorphous acid in pH-matrix showed a modified PK profile when dosed in a hydrogel but not in an oleo gel. Surprisingly, administration of the TBPH salt in pH-matrix suspended in oil showed a massive delay of the tmax to 8 hours and a reduction of Cmax by factor 2 - 3 with unchanged good BAV when administered as a suspension in oil without increased viscosity. TBPH salt solution with a high viscosity resulted in the same PK profile as when administered without increased viscosity.
The animal model was changed from rat to dog. The dose was limited to 15 mg/dog since they reacted much more sensitively to the drug. BAV at this dose level was 100% for the crystalline suspension already, thus the focus of this study was not increasing BAV but to achieve prolonged and/or delayed exposure using different formulation principles elaborated in rats before. An immediate release formulation of 3 mg was combined with a delayed/modified release principle containing 12 mg of the compound. An additional study arm was conducted with a remote controlled device programmed to deliver a first dose of 3 mg instantaneously after passing the stomach and a second dose of 12 mg when entering the caecum. The tmax remained short for all formulation principles and it seemed that delayed and modified release lead to BAV reduction. The modified PK profiles could not be translated to an oral dog model which endorsed the hypothesis of an absorption window; however, the in vitro results could be translated to a dog model for colonic absorption. A nanosuspension of the crystalline compound, the TBPH salt in pH-matrix and the TBPH salt of the pro-drug of the compound were administered rectally to determine colonic absorption. The nanosuspension showed exposure around the limit of quantification whereas the TBPH in pH-matrix showed 4% BAV and the pro-drug as TBPH salt in pH-matrix resulted in 12% BAV although the pro-drug is factor 3 less soluble. This was in line with the increased permeation of the pro-drug which was observed in the Caco2 experiments. The bioavailability was increased by using the low lattice force principles and validated the hypothesis for the acidic drug and its pro-drug in the colonic dog model. Chemical and physicochemical stability of the investigated solid dispersions was confirmed for at least 18 months at room temperature.
Amorphous solid dispersions were investigated to lower lattice forces of a neutral molecule. Solid dispersions are well known from literature; however, they are not frequently used as principles for dosage forms due to limitations in physical stability and complex manufacturing processes. A viable formulation principle was developed for a neutral compound assuming that the stability of a solid dispersion with a drug load below the maximal miscibility will be better than one which exceeds the maximal miscibility. The dispersed and amorphous state of the neutral compound resulted in a higher energy level and chemical potential compared to a crystalline form implying that they are thermodynamically instable and sensitive to recrystallization. This was confirmed by the fast recrystallization of an amorphous solid dispersion made from HPMC with 50% drug load which recrystallized within a few days. Solid dispersions with different drug loads in different polymers and in polymer mixtures were prepared by lyophilization. The miscibility of the compound and the polymer was determined by DSC as the miscibility is a surrogate for maximal stable drugload of the solid dispersion. HPMC was found to be miscible with 20% compound confirming the instability of the 50% HPMC solid dispersion observed earlier. Based on dosing needs, a miscibility/drug load of at least 30% was mandatory because of the dosing requirements to dose less than 1500 mg of final formulation. This was considered as maximal swallowable volume for later clinical development. Thus, all systems with a miscibility higher or equal to 30% drug in polymer were evaluated in an in vitro dissolution test and ranked in comparison with amorphous pure compound, crystalline compound and a 20% drug load solid dispersion made from HPMC. The HPMC based solid dispersion which gave good exposure in previous in vivo experiments did not support the high drugload that was needed. Therefore, similar in vitro behavior of this solid dispersion should result in similar in vivo performance. The polyvinylpyrrolidone (PVP) based solid dispersions scored with high drug load and medium initial kinetic solubility. The Soluplus based solid dispersion offer lower drug load and slightly lower initial kinetic solubility, but showed an extended supersaturation. The 4 best performing systems were evaluated in rats. They resulted in a short Tmax of 15 minutes and BAV higher than 85% indicating fast and complete absorption. The reference HPMC based solid dispersion with a drug load of 20% showed 65% BAV. This showed that higher drug loads were feasible and did not limit absorption in this animal model.
Since the estimated human dose required a higher formulation density than obtained from lyophilization or spray drying, melt extrusion of the solid dispersion was considered to be the most adequate technology. The process temperature needed to be below 200 °C as this value represents the degradation temperature of the polymers. It was investigated by differential scanning calorimetry whether the compound can be mixed with the molten polymer. None of the polymers could dissolve the crystalline compound below the degradation point of the polymer. The temperature had to be increased to 260 °C until the compound was molten together to a monophasic system with polymer. This resulted in degradation of the polymers. Therefore, different plasticizers and small organic molecules with similar functional groups as the compound were investigated on their ability to reduce the melting point of the mixture of polymer and compound. Positive results were obtained with several small molecules. Based on a literature review, nicotinamide had the least concerning pharmaceutical activities and was chosen for further development. Solid dispersions with the same composition as the ones tested in rat were prepared with 9% nicotinamide as softener. Extrusion without nicotinamide was not possible at 135 °C or at 170 °C whereas the addition of 9% nicotinamide led to a homogenous extrudate when processed at 135 °C. The solid state of the extrudates was not molecularly dispersed but the compound was in a crystalline state. They could not reach the in vitro performance observed for the lyophilized solid dispersions with Soluplus or PVP derivatives. Nevertheless, the performances in the supersaturation assay were comparable to the HPMC based lyophilized solid dispersion. The Soluplus and PVP based crystalline extrudates were evaluated in a dog PK showing that the crystalline solid dispersion does not enable BAV higher than 90% within 24 hours after application. In parallel, the hygroscopicity of the meltextrudates was investigated by DVS and the best performing system based on Kollidon VA64 was further optimized regarding the solid state after its extrusion. The minimal process temperature to obtain a fully amorphous solid dispersion was determined by hot stage X-ray powder diffraction analysis (XRPD) and confirmed by lab scale extrusion. Addition of 9% nicotinamide lowered the process temperature from 220 °C (without nicotinamide) to 200 °C with nicotinamide. The minimal temperature for obtaining crystal free material was independent of the nicotinamide amount as soon as it exceeded 9%. Lowering the process temperature with nicotinamide reduced the impurity levels from 3.5% at 220 °C to 1.1% at 200 °C. The fully amorphous extrudates performed now better in the in vitro supersaturation assay than the lyophilized amorphous HPMC solid dispersion and the crystalline extrudates which were extruded at 135 °C. The process was up-scaled to a pilot scale extruder with alternative screw designs increasing mechanical shear forces and mixing which enabled lower process temperatures. This resulted in a maximal process temperature of 195 °C when nicotinamide was present and 205 °C without nicotinamide. However, shorter process time and reduced process temperatures (compared to the lab scale equipment) resulted in impurity levels smaller than 0.5% for both compositions and temperatures and made the nicotinamide obsolete. The amorphous extrudates from the pilot scale extruder performed better in vitro than the crystalline extrudates from the lab scale extruder and the lyophilized HPMC solid dispersion. A comparable PK profile of the HPMC solid dispersion and the amorphous melt extruded formulation principle was anticipated from these in vitro results. This was confirmed by the pharmacokinetic profile in dogs after oral administration of the final extruded solid dispersion formulation which was equivalent with the pharmacokinetic profile of the HPMC based solid dispersion formulation. The assumption that using a drug load below the miscibility prevents the solid dispersion from recrystallization was verified at least for a limited time by a stability test at elevated temperatures for 3 months showing no change in solid state. This indicates the opportunities of the low lattice forces approach, but also showed the importance of developing principles first assuring stable solid state, performance in vitro and in vivo, tailor them in a second step based on performance and combine them with technology such as melt extrusion as third step. If these steps are done in the context of clinical needs and quality it can rationalize the development of a solid dispersion and minimalize the formulation related risks regarding biopharmacy and stability.
The controlled shaping of ultrashort laser pulses is a powerful technology and applied in many laser laboratories today. Most of the used pulse shapers are only able to produce linearly polarized pulses shaped in amplitude and phase. Some devices are also capable of producing limited time-varying polarization profiles, but they are not able to control the amplitude. However, for some state-of-the-art non-linear time-resolved methods, such as polarization-enhanced two-dimensional spectroscopy, the possibility of controlling the amplitude and the polarization simultaneously is desirable.
Over the last years, different concepts have been developed to overcome these restrictions and to manipulate the complete vector-field of an ultrashort laser pulse with independent control over all four degrees of freedom - phase, amplitude, orientation, and ellipticity. The aim of this work was to build such a vector-field shaper. While the basic concept used for our setup is based on previous designs reported in the literature, the goal was to develop an optimized optical design that minimizes artifacts, allowing for the generation of predefined polarization pulse sequences with the highest achievable accuracy.
In Chapter 3, different approaches reported in the literature for extended and unrestricted vector-field control were examined and compared in detail. Based on this analysis, we decided to follow the approach of modulating the spectral phase and amplitude of two perpendicularly polarized pulses independently from each other in two arms of an interferometer and recombining them to a single laser pulse to gain control over the complete vector field.
As described in Chapter 4, the setup consists of three functional groups: i) an optical component to generate and recombine the two polarized beams, ii) a 4f setup, and iii) a refracting telescope to direct the two beams under two different angles of incidence onto the grating of the 4f setup in a common-path geometry. This geometry was chosen to overcome potential phase instabilities of an interferometric vector-field shaper. Manipulating the two perpendicularly polarized pulses simultaneously within one 4f setup and using adjacent pixel groups of the same liquid-crystal spatial light modulator (LC SLM) for the two polarizations has the advantages that only a single dual-layer LC SLM is required and that a robust and compact setup was achieved. The shaping capabilities of the presented design were optimized by finding the best parameters for the setup through numerical calculations to adjust the frequency distributions for a broad spectrum of 740 – 880 nm. Instead of using a Wollaston prism as in previous designs, a thin-film polarizer (TFP) is utilized to generate and recombine the two orthogonally polarized beams. Artifacts such as angular dispersion and phase distortions along the beam profile which arise when a Wollaston prism is used were discussed. Furthermore, it was shown by ray-tracing simulations that in combination with a telescope and the 4f setup, a significant deformation of the beam profile would be present when using a Wollaston prism since a separation of the incoming and outgoing beam in height is needed. The ray-tracing simulations also showed that most optical aberrations of the setup are canceled out when the incoming and outgoing beams propagate in the exact same plane by inverting the beam paths. This was realized by employing a TFP in the so-called crossed-polarizer arrangement which has also the advantage that the polarization-dependent efficiencies of the TFP and the other optics are automatically compensated and that a high extinction ratio in the order of 15000:1 is reached. Chromatic aberrations are, however, not compensated by the crossed-polarizer arrangement. The ray-tracing simulations confirmed that these chromatic aberrations are mainly caused by the telescope and not by the cylindrical lens of the 4f setup. Nevertheless, in the experimentally used wavelength range of 780 – 816 nm, only minor distortions of the beam profile were observed, which were thus considered to be negligible in the presented setup.
The software implementation of the pulse shaper was reviewed in Chapter 5 of this thesis. In order to perform various experiments, five different parameterizations, accounting for the extended shaping capabilities of a vector-field shaper, were developed. The Pixel Basis, the Spectral Basis, and the Spectral Taylor Basis can generally be used in combination with an optimization algorithm and are therefore well suited for quantum control experiments. For multidimensional spectroscopy, the Polarized Four-Pulse Basis was established. With this parameterization pulse sequences with up to four subpulses can be created. The polarization state of each subpulse can be specified and the relative intensity, phase, and temporal delay between consecutive subpulses can be controlled. In addition, different software programs were introduced in Chapter 5 which are required to perform the experiments conducted in this work.
The experimental results were presented in Chapter 6. The frequency distribution across the LC SLM was measured proving that the optimal frequency distribution was realized experimentally. Furthermore, the excellent performance of the TFP was verified. In general, satellite pulses are emitted from the TFP due to multiple internal reflections. Various measurements demonstrated that these pulses are temporally separated by at least 4.05 ps from the main pulse and that they have vanishing intensity. The phase stability between the two arms of the presented common-path setup σ = 28.3 mrad (λ/222) over 60 minutes. To further improve this stability over very long measurement times, an on-the-fly phase reduction and stabilization (OPRAS) routine utilizing the pulse shaper itself was developed. This routine automatically produces a compressed pulse with a minimized relative phase between the two polarization components. A phase stability of σ = 31.9 mrad (λ/197) over nearly 24 hours was measured by employing OPRAS. Various pulse sequences exceeding the capabilities of conventional pulse shapers were generated and characterized. The experimental results proved that shaped pulses with arbitrary phase, amplitude, and polarization states can be created. In all cases very high agreement between the target parameters and the experimental data was achieved.
For the future use of the setup also possible modifications were suggested. These are not strictly required, but all of them could further improve the performance and flexibility of the setup. Firstly, it was illustrated how a “dual-output” of the setup can be realized. With this modification it would be possible to use the main intensity of the shaped pulse for an experiment while using a small fraction to characterize the pulse or to perform OPRAS simultaneously. Secondly, the basic idea of replacing the telescope by focusing mirrors in order to eliminate the chromatic aberrations was presented. Regarding the different parameterizations for vector-field shaping, some modifications increasing the flexibility of the implemented bases and the realization of a von Neumann Basis for the presented setup were proposed. In future experiments, the vector-field shaper will be used in conjunction with a photoemission electron microscope (PEEM). This approach combines the temporal resolution provided by ultrashort laser pulses with the high spatial resolution gained by electron microscopy in order to perform two-dimensional spectroscopy and coherent control on nanostructures with polarization-shaped femtosecond laser pulses. In combination with other chiral-sensitive experimental setups implemented earlier in our group, the vector-field shaper opens up new perspectives for chiral femtochemistry and chiral control.
The designed vector-field shaper meets all requirements to generate high-precision polarization-shaped multipulse sequences. These can be used to perform numerous polarization-sensitive experiments. Employing the OPRAS routine, a quasi-infinitely long phase stability is achieved and complex and elaborated long-term measurements can be carried out. The fact that OPRAS demands no additional hardware and that only a single dual-layer LC SLM and inexpensive optics are required allows the building of a vector-field shaper at comparatively low costs. We hope that with the detailed insights into the optical design process as well as into the software implementation given in this thesis, vector-field shaping will become a standard technique just as conventional pulse shaping in the upcoming years.
Extreme value theory aims at modeling extreme but rare events from a probabilistic point of view. It is well-known that so-called generalized Pareto distributions, which are briefly reviewed in Chapter 1, are the only reasonable probability distributions suited for modeling observations above a high threshold, such as waves exceeding the height of a certain dike, earthquakes having at least a certain intensity, and, after applying a simple transformation, share prices falling below some low threshold. However, there are cases for which a generalized Pareto model might fail. Therefore, Chapter 2 derives certain neighborhoods of a generalized Pareto distribution and provides several statistical tests for these neighborhoods, where the cases of observing finite dimensional data and of observing continuous functions on [0,1] are considered. By using a notation based on so-called D-norms it is shown that these tests consistently link both frameworks, the finite dimensional and the functional one. Since the derivation of the asymptotic distributions of the test statistics requires certain technical restrictions, Chapter 3 analyzes these assumptions in more detail. It provides in particular some examples of distributions that satisfy the null hypothesis and of those that do not. Since continuous copula processes are crucial tools for the functional versions of the proposed tests, it is also discussed whether those copula processes actually exist for a given set of data. Moreover, some practical advice is given how to choose the free parameters incorporated in the test statistics. Finally, a simulation study in Chapter 4 compares the in total three different test statistics with another test found in the literature that has a similar null hypothesis. This thesis ends with a short summary of the results and an outlook to further open questions.
Anxiety is an affective state characterized by a sustained, long-lasting defensive response, induced by unpredictable, diffuse threat. In comparison, fear is a phasic response to predictable threat. Fear can be experimentally modeled with the help of cue conditioning. Context conditioning, in which the context serves as the best predictor of a threat due to the absence of any conditioned cues, is seen as an operationalization of sustained anxiety.
This thesis used a differential context conditioning paradigm to examine sustained attention processes in a threat context compared to a safety context for the first time. In three studies, the attention mechanisms during the processing of contextual anxiety were examined by measuring heart rate responses and steady-state-visually evoked potentials (ssVEPs). An additional focus was set on the processing of social cues (i.e. faces) and the influence of contextual information on these cues. In a last step, the correlates of sustained anxiety were compared to evoked responses by phasic fear, which was realized in a previously established paradigm combining predictable and unpredictable threat.
In the first study, a contextual stimulus was associated with an aversive loud noise, while a second context remained unpaired. This conditioning paradigm created an anxiety context (CTX+) and a safety context (CTX-). After acquisition, a social agent vs. an object was presented as a distractor in both contexts. Heart rate and cortical responses, with ssVEPs by using frequency tagging, to the contexts and the distractors were assessed. Results revealed enhanced ssVEP amplitudes for the CTX+ compared to the CTX− during acquisition and during presentation of distractor stimuli. Additionally, the heart rate was accelerated in the acquisition phase, followed by a heart rate deceleration as a psychophysiological marker of contextual anxiety.
Study 2 used the same context conditioning paradigm as Study 1. In contrast to the first study, persons with different emotional facial expressions were presented in the anxiety and safety contexts in order to compare the differential processing of these cues within periods of threat and safety. A similar anxiety response was found in the second study, although only participants who
Abstract
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were aware of the contingency between contexts and aversive event showed a sensory amplification of the threat context, indicated by heart rate response and ssVEP activation. All faces irrespective of their emotional expression received increased attentional resources when presented within the anxiety context, which suggests a general hypervigilance in anxiety contexts.
In the third study, the differentiation of predictable and unpredictable threat as an operationalization of fear and anxiety was examined on a cortical and physiological level. In the predictable condition, a social cue was paired with an aversive event, while in the unpredictable condition the aversive event remained unpaired with the respective cue. A fear response to the predictable cue was found, indicated by increased oscillatory response and accelerated heart rate. Both predictable and unpredictable threat yielded increased ssVEP amplitudes evoked by the context stimuli, while the response in the unpredictable context showed longer-lasting ssVEP activation to the threat context.
To sum up, all three studies endorsed anxiety as a long-lasting defensive response. Due to the unpredictability of the aversive events, the individuals reacted with hypervigilance in the anxiety context, reflected in a facilitated processing of sensory information and an orienting response. This hypervigilance had an impact on the processing of novel cues, which appeared in the anxiety context. Considering the compared stimuli categories, the stimuli perceived in a state of anxiety received increased attentional resources, irrespective of the emotional arousal conveyed by the facial expression. Both predictable and unpredictable threat elicited sensory amplification of the contexts, while the response in the unpredictable context showed longer-lasting sensory facilitation of the threat context.
Pulsars (in short for Pulsating Stars) are magnetized, fast rotating neutron stars. The basic picture of a pulsar describes it as a neutron star which has a rotation axis that is not aligned with its magnetic field axis. The emission is assumed to be generated near the magnetic poles of the neutron star and emitted along the open magnetic field lines. Consequently, the corresponding beam of photons is emitted along the magnetic field line axis. The non-alignment of both, the rotation and the magnetic field axis, results in the effect that the emission of the pulsar is only seen if its beam points towards the observer.
The emission from a pulsar is therefore perceived as being pulsed although its generation is not. This rather simple geometrical model is commonly referred to as Lighthouse Model and has been widely accepted. However, it does not deliver an explanation of the precise mechanisms behind the emission from pulsars (see below for more details).
Nowadays more than 2000 pulsars are known. They are observed at various wavelengths. Multiwavelength studies have shown that some pulsars are visible only at certain wavelengths while the emission from others can be observed throughout large parts of the electromagnetic spectrum. An example of the latter case is the Crab pulsar which is also the main object of interest in this thesis. Originating from a supernova explosion observed in 1054 A.D. and discovered in 1968, the Crab pulsar has been the central subject of numerous studies. Its pulsed emission is visible throughout the whole electromagnetic spectrum which makes it a key figure in understanding the possible mechanisms of multiwavelength emission from pulsars.
The Crab pulsar is also well known for its radio emission strongly varying on long as well as on short time scales. While long time scale behaviour from a pulsar is usually examined through the use of its average profile (a profile resulting from averaging of a large number of individual pulses resulting from single rotations), short time scale behaviour is examined via its single pulses. The short time scale anomalous behaviour of its radio emission is commonly referred to as Giant Pulses and represents the central topic of this thesis.
While current theoretical approaches place the origin of the radio emission from a pulsar like the Crab near its magnetic poles (Polar Cap Model) as already indicated by the Lighthouse model, its emission at higher frequencies, especially its gamma-ray emission, is assumed to originate further away in the geometrical region surrounding a pulsar which is commonly referred to as a pulsar magnetosphere (Outer Gap Model). Consequently, the respective emission regions are usually assumed not to be connected. However, past observational results from the Crab pulsar represent a contradiction to this assumption.
Radio giant pulses from the Crab pulsar have been observed to emit large amounts of energy on very short time scales implying small emission regions on the surface of the pulsar. Such energetic events might also leave a trace in the gamma-ray emission of the Crab pulsar.
The aim of this thesis is to search for this connection in the form of a correlation study between radio giant pulses and gamma-photons from the Crab pulsar.
To make such a study possible, a multiwavelength observational campaign was organized for which radio observations were independently applied for, coordinated and carried out with the Effelsberg radio telescope and the Westerbork Synthesis Radio Telescope and gamma-ray observations with the Major Atmospheric Imaging Cherenkov telescopes. The corresponding radio and gamma-ray data sets were reduced and the correlation analysis thereafter consisted of three different approaches:
1) The search for a clustering in the differences of the times of arrival of radio giant pulses and gamma-photons;
2) The search for a linear correlation between radio giant pulses and gamma-photons using the Pearson correlation approach;
3) A search for an increase of the gamma-ray flux around occurring radio giant pulses.
In the last part of the correlation study an increase of the number of gamma-photons centered on a radio giant pulse by about 17% (in contrast with the number of gamma-photons when no radio giant pulse occurs in the same time window) was discovered. This finding suggests that a new theoretical approach for the emission of young pulsars like the Crab pulsar, is necessary.
Fulminant myocarditis is rare but a potentially life-threatening disease. Acute or mild myocarditis following acute ischemia is generally associated with a profound activation of the host’s immune system. On one hand this is mandatory to protect the host’s heart by fighting the invading agents (i.e., bacteria, viruses or other microbial agents) and/or to induce healing and repair processes in the damaged myocardium. On other hand, uncontrolled activation of the immune system may result in the generation of auto-reactive (not always beneficial) immune cells.
Myocarditis or inflammatory cardiomyopathy is characterized by focal or diffuse infiltrates, myocyte necrosis and/or apoptosis and subsequent fibrotic replacement of the heart muscle. In humans, about 30% of the myocarditis-patients develop dilated cardiomyopathy. As the clinical picture of myocarditis is multifaceted, it is difficult to diagnose the disease. Therefore, the main goal of the present work was to test and further develop novel non-invasive methods for the detection of myocardial inflammation by employing both contrast enhanced MRI techniques as well as novel nuclear tracers that are suitable for in vivo PET/ SPECT imaging.
As a part of this thesis, a pre-clinical animal model was successfully established by immunizing female Lewis rats with whole-porcine cardiac myosin (CM). Induction of Experimental Autoimmune Myocarditis (EAM) is considered successful when anti-myosin antibody titers are increased more than 100-fold over control animals and pericardial effusion develops. In addition, cardiac tissues from EAM-rats versus controls were analyzed for the expression of various pro-inflammatory and fibrosis markers. To further exploit non-invasive MRI techniques for the detection of myocarditis, our EAM-rats were injected either with (1) ultra-small Paramagnetic iron oxide particles (USPIO’s; Feraheme®), allowing for in vivo imaging , (2) micron sized paramagnetic iron oxide particles (MPIO) for ex vivo inflammatory cell-tracking by cMRI, or (3) with different radioactive nuclear tracers (67gallium citrate, 68gallium-labeled somatostatin analogue, and 68gallium-labeled cyclic RGD-peptide) which in the present work have been employed for autoradiographic imaging, but in principle are also suitable for in vivo nuclear imaging (PET/SPECT). In order to compare imaging results with histology, consecutive heart sections were stained with hematoxylin & eosin (HE, for cell infiltrates) and Masson Goldner trichrome (MGT, for fibrosis); in addition, immuno-stainings were performed with anti-CD68 (macrophages), anti-SSRT2A (somatostatin receptor type 2A), anti-CD61 (β3-integrins) and anti-CD31 (platelet endothelial cell adhesion molecule 1).
Sera from immunized rats strongly reacted with cardiac myosin. In immunized rats, echocardiography and subsequent MRI revealed huge amounts of pericardial effusion (days 18-21). Analysis of the kinetics of myocardial infiltrates revealed maximal macrophage invasion between days 14 and 28. Disappearance of macrophages resulted in replacement-fibrosis in formerly cell-infiltrated myocardial areas. This finding was confirmed by the time-dependent differential expression of corresponding cytokines in the myocardium. Immunized animals reacted either with an early or a late pattern of post-inflammation fibrosis. Areas with massive cellular infiltrates were easily detectible in autoradiograms showing a high focal uptake of 67gallium-citrate and 68gallium labeled somatostatin analogues (68Ga DOTA-TATE). Myocardium with a loss of cardiomyocytes presented a high uptake of 68gallium labeled cyclic RGD-peptide (68Ga NOTA-RGD). MRI cell tracking experiments with Feraheme® as the contrast-agent were inconclusive; however, strikingly better results were obtained when MPIOs were used as a contrast-agent: histological findings correlated well with in vivo and ex vivo MPIO-enhanced MRI images.
Imaging of myocardial inflammatory processes including the kinetics of macrophage invasion after microbial or ischemic damage is still a major challenge in, both animal models and in human patients. By applying a broad panel of biochemical, histological, molecular and imaging methods, we show here that different patterns of reactivity may occur upon induction of myocarditis using one and the same rat strain. In particular, immunized Lewis rats may react either with an early or a late pattern of macrophage invasion and subsequent post-inflammation fibrosis. Imaging results achieved in the acute inflammatory phase of the myocarditis with MPIOs, 67gallium citrate and 68gallium linked to somatostatin will stimulate further development of contrast agents and radioactive-nuclear tracers for the non-invasive detection of acute myocarditis and in the near future perhaps even in human patients.
The impact of acquired severe motor impairments is pervasive and may lead to a complete loss of communication and voluntary motor control, rendering the patient behaviourally unresponsive. In routine clinical care it may thus be unclear, whether some of these patients are even conscious. Given that finding a cure is unlikely, care focuses on providing the best possible quality of life (QoL), and knowing its predictors might contribute to that aim. Patients who still can communicate often report a high QoL, and several predictors have been identified. However, many instruments used to assess QoL require at least residual verbal and motor abilities. Thus, a method to assess QoL independent of these requirements is desirable. In addition, many instruments assume QoL to be temporarily stable, and little information is available on predictors of instantaneous QoL, i.e. QoL as it fluctuates from moment to moment throughout the day.
The correct regulation of cell growth and proliferation is essential during normal animal development. Myc proteins function as transcription factors, being involved in the con-trol of many growth- and proliferation-associated genes and deregulation of Myc is one of the main driving factors of human malignancies.
The first part of this thesis focuses on the identification of directly regulated Myc target genes in Drosophila melanogaster, by combining ChIPseq and RNAseq approaches. The analysis results in a core set of Myc target genes of less than 300 genes which are mainly involved in ribosome biogenesis. Among these genes we identify a novel class of Myc targets, the non-coding small nucleolar RNAs (snoRNAs). In vivo studies show that loss of snoRNAs not only impairs growth during normal development, but that overexpression of several snoRNAs can also enhance tumor development in a neu-ronal tumor model. Together the data show that Myc acts as a master regulator of ribo-some biogenesis and that Myc’s transforming effects in tumor development are at least partially mediated by the snoRNAs.
In the second part of the thesis, the interaction of Myc and the Zf-protein Chinmo is described. Co-immunoprecipitations of the two proteins performed under endogenous and exogenous conditions show that they interact physically and that neither the two Zf-domains nor the BTB/POZ-domain of Chinmo are important for this interaction. Fur-thermore ChIP experiments and Myc dependent luciferase assays show that Chinmo and Myc share common target genes, and that Chinmo is presumably also involved in their regulation. While the exact way of how Myc and Chinmo genetically interact with each other still has to be investigated, we show that their interaction is important in a tumor model. Overexpression of the tumor-suppressors Ras and Chinmo leads to tu-mor formation in Drosophila larvae, which is drastically impaired upon loss of Myc.
The recently discovered human DREAM complex (for DP, RB-like, E2F and MuvB complex) is a chromatin-associated pocket protein complex involved in cell cycle- dependent gene expression. DREAM consists of five core subunits and forms a complex either with the pocket protein p130 and the transcription factor E2F4 to repress gene expression or with the transcription factors B-MYB and FOXM1 to promote gene expression.
Gas2l3 was recently identified by our group as a novel DREAM target gene. Subsequent characterization in human cell lines revealed that GAS2L3 is a microtubule and F-actin cross-linking protein, expressed in G2/M, plays a role in cytokinesis, and is important for chromosomal stability.
The aim of the first part of the study was to analyze how expression of GAS2L3 is regulated by DREAM and to provide a better understanding of the function of GAS2L3 in mitosis and cytokinesis.
ChIP assays revealed that the repressive and the activating form of DREAM bind to the GAS2L3 promoter. RNA interference (RNAi) mediated GAS2L3 depletion demonstrated the requirement of GAS2L3 for proper cleavage furrow ingression in cytokinesis. Immunofluorescence-based localization studies showed a localization of GAS2L3 at the mitotic spindle in mitosis and at the midbody in cytokinesis. Additional experiments demonstrated that the GAS2L3 GAR domain, a putative microtubule- binding domain, is responsible for GAS2L3 localization to the constriction zones in cytokinesis suggesting a function for GAS2L3 in the abscission process.
DREAM is known to promote G2/M gene expression. DREAM target genes include several mitotic kinesins and mitotic microtubule-associated proteins (mitotic MAPs). However, it is not clear to what extent DREAM regulates mitotic kinesins and MAPs, so far. Furthermore, a comprehensive study of mitotic kinesin expression in cancer cell lines is still missing.
Therefore, the second major aim of the thesis was to characterize the regulation of mitotic kinesins and MAPs by DREAM, to investigate the expression of mitotic kinesins in cancer cell line panels and to evaluate them as possible anti-cancer targets.
ChIP assays together with RNAi mediated DREAM subunit depletion experiments demonstrated that DREAM is a master regulator of mitotic kinesins. Furthermore, expression analyses in a panel of breast and lung cancer cell lines revealed that mitotic kinesins are up-regulated in the majority of cancer cell lines in contrast to non-transformed controls. Finally, an inducible lentiviral-based shRNA system was developed to effectively deplete mitotic kinesins. Depletion of selected mitotic kinesins resulted in cytokinesis failures and strong anti-proliferative effects in several human cancer cell lines.
Thus, this system will provide a robust tool for future investigation of mitotic kinesin function in cancer cells.