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For the differentiation of a embryonic stem cells (ESCs) to neuronal cells (NCs) a complex and coordinated gene regulation program is needed. One important control element for neuronal differentiation is the repressor element 1 silencing transcription factor (REST) complex, which represses neuronal gene expression in non-neuronal cells. Crucial effector proteins of the REST complex are small phosphatases such as the CTDSPs (C-terminal domain small phosphatases) that regulate polymerase II activity by dephosphorylating the C-terminal domain of the polymerase, thereby repressing target genes. The stepwise inactivation of REST, including the CTDSPs, leads to the induction of a neuron-specific gene program, which ultimately induces the formation of neurons. The spatio-temporal control of REST and its effector components is therefore a crucial step for neurogenesis.
In zebrafish it was shown that the REST-associated CTDSP2 is negatively regulated by the micro RNA (miR) -26b. Interestingly, the miR-26b is encoded in an intron of the primary transcript of CTDSP2. This gives the fundament of an intrinsic regulatory negative feedback loop, which is essential for the proceeding of neurogenesis. This feedback loop is active during neurogenesis, but inactive in non-neuronal cells. The reason for this is that the maturation of the precursor miR (pre-miR) to the mature miR-26 is arrested in non neuronal cells, but not in neurons. As only mature miRs are actively repressing genes, the regulation of miR-26 processing is an essential step in neurogenesis.
In this study, the molecular basis of miR-26 processing regulation in the context of neurogenesis was addressed. The mature miR is processed from two larger precursors: First the primary transcript is cleaved by the enzyme DROSHA in the nucleus to form the pre-miR. The pre-miR is exported from the nucleus and processed further through the enzyme DICER to yield the mature miR. The mature miR can regulate gene expression in association with the RNA-induced silencing complex (RISC).
Multiple different scenarios in which miR processing was regulated were proposed and experimentally tested. Microinjection studies using Xenopus leavis oocytes showed that slowdown or blockage of the nucleo-cytoplasmic transport are not the reason for delayed pre-miR-26 processing. Moreover, in vitro and in vivo miR-processing assays showed that maturation is most likely regulated through a in trans acting factor, which blocks processing in non neuronal cells.
Through RNA affinity chromatographic assays using zebrafish and murine lysates I was able to isolate and identify proteins that interact specifically with pre-miR-26 and could by this influence its biogenesis. Potential candidates are FMRP/FXR1/2, ZNF346 and Eral1, whose functional characterisation in the context of miR-biogenesis could now be addressed.
The second part of my thesis was executed in close colaboration with the laboratory of Prof. Albrecht Müller. The principal question was addressed how miR-26 influences neuronal gene expression and which genes are primarily affected. This research question could be addressed by using a cell culture model system, which mimics ex vivo the differentiation of ESCs to NCs via neuronal progenitor.
For the functional analysis of miR-26 knock out cell lines were generated by the CRISPR/Cas9 technology. miR-26 deficient ESC keep their pluripotent state and are able to develop NPC, but show major impairment in differentiating to NCs. Through RNA deep sequencing the miR-26 induced transcriptome differences could be analysed.
On the level of mRNAs it could be shown, that the expression of neuronal gene is downregulated in miR-26 deficient NCs. Interestingly, the deletion of miR-26 leads to selectively decreased levels of miRs, which on one hand regulate the REST complex and on the other hand are under transcriptional control by REST themself. This data and the discovery that induction of miR-26 leads to enrichment of other REST regulating miRs indicates that miR-26 initiates neurogenesis through stepwise inactivation of the REST complex.
This work is concerned with the numerical approximation of solutions to models that are used to describe atmospheric or oceanographic flows. In particular, this work concen- trates on the approximation of the Shallow Water equations with bottom topography and the compressible Euler equations with a gravitational potential. Numerous methods have been developed to approximate solutions of these models. Of specific interest here are the approximations of near equilibrium solutions and, in the case of the Euler equations, the low Mach number flow regime. It is inherent in most of the numerical methods that the quality of the approximation increases with the number of degrees of freedom that are used. Therefore, these schemes are often run in parallel on big computers to achieve the best pos- sible approximation. However, even on those big machines, the desired accuracy can not be achieved by the given maximal number of degrees of freedom that these machines allow. The main focus in this work therefore lies in the development of numerical schemes that give better resolution of the resulting dynamics on the same number of degrees of freedom, compared to classical schemes.
This work is the result of a cooperation of Prof. Klingenberg of the Institute of Mathe- matics in Wu¨rzburg and Prof. R¨opke of the Astrophysical Institute in Wu¨rzburg. The aim of this collaboration is the development of methods to compute stellar atmospheres. Two main challenges are tackled in this work. First, the accurate treatment of source terms in the numerical scheme. This leads to the so called well-balanced schemes. They allow for an accurate approximation of near equilibrium dynamics. The second challenge is the approx- imation of flows in the low Mach number regime. It is known that the compressible Euler equations tend towards the incompressible Euler equations when the Mach number tends to zero. Classical schemes often show excessive diffusion in that flow regime. The here devel- oped scheme falls into the category of an asymptotic preserving scheme, i.e. the numerical scheme reflects the behavior that is computed on the continuous equations. Moreover, it is shown that the diffusion of the numerical scheme is independent of the Mach number.
In chapter 3, an HLL-type approximate Riemann solver is adapted for simulations of the Shallow Water equations with bottom topography to develop a well-balanced scheme. In the literature, most schemes only tackle the equilibria when the fluid is at rest, the so called Lake at rest solutions. Here a scheme is developed to accurately capture all the equilibria of the Shallow Water equations. Moreover, in contrast to other works, a second order extension is proposed, that does not rely on an iterative scheme inside the reconstruction procedure, leading to a more efficient scheme.
In chapter 4, a Suliciu relaxation scheme is adapted for the resolution of hydrostatic equilibria of the Euler equations with a gravitational potential. The hydrostatic relations are underdetermined and therefore the solutions to that equations are not unique. However, the scheme is shown to be well-balanced for a wide class of hydrostatic equilibria. For specific classes, some quadrature rules are computed to ensure the exact well-balanced property. Moreover, the scheme is shown to be robust, i.e. it preserves the positivity of mass and energy, and stable with respect to the entropy. Numerical results are presented in order to investigate the impact of the different quadrature rules on the well-balanced property.
In chapter 5, a Suliciu relaxation scheme is adapted for the simulations of low Mach number flows. The scheme is shown to be asymptotic preserving and not suffering from excessive diffusion in the low Mach number regime. Moreover, it is shown to be robust under certain parameter combinations and to be stable from an Chapman-Enskog analysis.
Numerical results are presented in order to show the advantages of the new approach.
In chapter 6, the schemes developed in the chapters 4 and 5 are combined in order to investigate the performance of the numerical scheme in the low Mach number regime in a gravitational stratified atmosphere. The scheme is shown the be well-balanced, robust and stable with respect to a Chapman-Enskog analysis. Numerical tests are presented to show the advantage of the newly proposed method over the classical scheme.
In chapter 7, some remarks on an alternative way to tackle multidimensional simulations are presented. However no numerical simulations are performed and it is shown why further research on the suggested approach is necessary.
As a cradle of ancient Chinese civilization, the Yellow River Basin has a very long human-environment interrelationship, where early anthropogenic activities re- sulted in large scale landscape modifications. Today, the impact of this relationship
has intensified further as the basin plays a vital role for China’s continued economic
development. It is one of the most densely-populated, fastest growing, and most dynamic
regions of China with abundant natural and environmental resources providing a livelihood for almost 190 million people. Triggered by fundamental economic reforms, the
basin has witnessed a spectacular economic boom during the last decades and can be
considered as an exemplary blueprint region for contemporary dynamic Global Change
processes occurring throughout the country, which is currently transitioning from an
agrarian-dominated economy into a modern urbanized society. However, this resourcesdemanding growth has led to profound land use changes with adverse effects on the Yellow
River social-ecological systems, where complex challenges arise threatening a long-term
sustainable development.
Consistent and continuous remote sensing-based monitoring of recent and past land
cover and land use change is a fundamental requirement to mitigate the adverse impacts
of Global Change processes. Nowadays, technical advancement and the multitude of
available satellite sensors, in combination with the opening of data archives, allow the
creation of new research perspectives in regional land cover applications over heterogeneous landscapes at large spatial scales. Despite the urgent need to better understand the
prevailing dynamics and underlying factors influencing the current processes, detailed
regional specific land cover data and change information are surprisingly absent for this
region.
In view of the noted research gaps and contemporary developments, three major objectives are defined in this thesis. First (i), the current and most pressing social-ecological
challenges are elaborated and policy and management instruments towards more sustainability are discussed. Second (ii), this thesis provides new and improved insights on
the current land cover state and dynamics of the entire Yellow River Basin. Finally (iii),
the most dominant processes related to mining, agriculture, forest, and urban dynamics
are determined on finer spatial and temporal scales.
The complex and manifold problems and challenges that result from long-term abuse
of the water and land resources in the basin have been underpinned by policy choices,
cultural attitude, and institutions that have evolved over centuries in China. The tremendous economic growth that has been mainly achieved by extracting water and exploiting
land resources in a rigorous, but unsustainable manner, might not only offset the economic benefits, but could also foster social unrest. Since the early emergence of the first Chinese dynasties, flooding was considered historically as a primary issue in river management and major achievements have been made to tame the wild nature of the Yellow
River. Whereas flooding is therefore largely now under control, new environmental and
social problems have evolved, including soil and water pollution, ecological degradation,
biodiversity decline, and food security, all being further aggravated by anthropogenic
climate change. To resolve the contemporary and complex challenges, many individual
environmental laws and regulations have been enacted by various Chinese ministries.
However, these policies often pursue different, often contradictory goals, are too general
to tackle specific problems and are usually implemented by a strong top-down approach.
Recently, more flexible economic and market-based incentives (pricing, tradable permits,
investments) have been successfully adopted, which are specifically tailored to the respective needs, shifting now away from the pure command and regulating instruments.
One way towards a more holistic and integrated river basin management could be the
establishment of a common platform (e.g. a Geographical Information System) for data
handling and sharing, possibly operated by the Yellow River Basin Conservancy Commission (YRCC), where available spatial data, statistical information and in-situ measures
are coalesced, on which sustainable decision-making could be based. So far, the collected
data is hardly accessible, fragmented, inconsistent, or outdated.
The first step to address the absence and lack of consistent and spatially up-to-date
information for the entire basin capturing the heterogeneous landscape conditions was
taken up in this thesis. Land cover characteristics and dynamics were derived from
the last decade for the years 2003 and 2013, based on optical medium-resolution hightemporal MODIS Normalized Differenced Vegetation Index (NDVI) time series at 250 m.
To minimize the inherent influence of atmospheric and geometric interferences found in
raw high temporal data, the applied adaptive Savitzky-Golay filter successfully smoothed
the time series and substantially reduced noise. Based on the smoothed time series
data, a large variety of intra-annual phenology metrics as well as spectral and multispectral annual statistics were derived, which served as input variables for random
forest (RF) classifiers. High quality reference data sets were derived from very high
resolution imagery for each year independently of which 70 % trained the RF models. The
accuracy assessments for all regionally specific defined thematic classes were based on the
remaining 30 % reference data split and yielded overall accuracies of 87 % and 84 % for
2003 and 2013, respectively. The first regional adapted Yellow River Land Cover Products
(YRB LC) depict the detail spatial extent and distribution of the current land cover status
and dynamics. The novel products overall differentiate overall 18 land cover and use
classes, including classes of natural vegetation (terrestrial and aquatic), cultivated classes,
mosaic classes, non-vegetated, and artificial classes, which are not presented in previous
land cover studies so far.
Building on this, an extended multi-faceted land cover analysis on the most prominent
land cover change types at finer spatial and temporal scales provides a better and more
detailed picture of the Yellow River Basin dynamics. Precise spatio-temporal products
about mining, agriculture, forest, and urban areas were examined from long-trem Landsat
satellite time series monitored at annual scales to capture the rapid rate of change in four
selected focus regions. All archived Landsat images between 2000 and 2015 were used to
derive spatially continuous spectral-temporal, multi-spectral, and textural metrics. For
each thematic region and year RF models were built, trained and tested based on a stablepixels reference data set. The automated adaptive signature (AASG) algorithm identifies those pixels that did not change between the investigated time periods to generate a
mono-temporal reference stable-pixels data set to keep manual sampling requirements
to a minimum level. Derived results gained high accuracies ranging from 88 % to 98 %.
Throughout the basin, afforestation on the Central Loess Plateau and urban sprawl are
identified as most prominent drivers of land cover change, whereas agricultural land
remained stable, only showing local small-scale dynamics. Mining operations started in
2004 on the Qinghai-Tibet Plateau, which resulted in a substantial loss of pristine alpine
meadows and wetlands.
In this thesis, a novel and unique regional specific view of current and past land cover
characteristics in a complex and heterogeneous landscape was presented by using a
multi-source remote sensing approach. The delineated products hold great potential for
various model and management applications. They could serve as valuable components
for effective and sustainable land and water management to adapt and mitigate the
predicted consequences of Global Change processes.
This thesis describes the studies of topological superconductivity, which is predicted to
emerge when pair correlations are induced into the surface states of 2D and 3D topolog-
ical insulators (TIs). In this regard, experiments have been designed to investigate the
theoretical ideas first pioneered by Fu and Kane that in such system Majorana bound
states occur at vortices or edges of the system [Phys. Rev. Lett. 100, 096407 (2008), Phys.
Rev. B 79, 161408 (2009)]. These states are of great interest as they constitute a new
quasiparticle which is its own antiparticle and can be used as building blocks for fault
tolerant topological quantum computing.
After an introduction in chapter 1, chapter 2 of the thesis lays the foundation for the
understanding of the field of topology in the context of condensed matter physics with a
focus on topological band insulators and topological superconductors. Starting from a
Chern insulator, the concepts of topological band theory and the bulk boundary corre-
spondence are explained. It is then shown that the low energy Hamiltonian of mercury
telluride (HgTe) quantum wells of an appropriate thickness can be written as two time
reversal symmetric copies of a Chern insulator. This leads to the quantum spin Hall effect.
In such a system, spin-polarized one dimensional conducting states form at the edges
of the material, while the bulk is insulating. This concept is extended to 3D topological
insulators with conducting 2D surface states. As a preliminary step to treating topological
superconductivity, a short review of the microscopic theory of superconductivity, i.e. the
theory of Bardeen, Cooper, and Shrieffer (BCS theory) is presented. The presence of
Majorana end modes in a one dimensional superconducting chain is explained using the
Kitaev model. Finally, topological band insulators and conventional superconductivity
are combined to effectively engineer p-wave superconductivity. One way to investigate
these states is by measuring the periodicity of the phase of the Josephson supercurrent
in a topological Josephson junction. The signature is a 4π-periodicity compared to the
2π-periodicity in conventional Josephson junctions. The proof of the presence of this
effect in HgTe based Josephson junction is the main goal of this thesis and is discussed in
chapters 3 to 6.
Chapter 3 describes in detail the transport of a 3D topological insulator based weak
link under radio-frequency radiation. The chapter starts with a review of the state of
research of (i) strained HgTe as 3D topological insulator and (ii) the progress of induc-
ing superconducting correlations into the topological surface states and the theoretical
predictions of 3D TI based Josephson junctions. Josephson junctions based on strained
HgTe are successfully fabricated. Before studying the ac driven Josephson junctions, the
dc transport of the devices is analysed. The critical current as a function of temperature
is measured and it is possible to determine the induced superconducting gap. Under
rf illumination Shapiro steps form in the current voltage characteristic. A missing first
step at low frequencies and low powers is found in our devices. This is a signature of
a 4π-periodic supercurrent. By studying the device in a wide parameter range - as a
147148 SUMMARY
function of frequency, power, device geometry and magnetic field - it is shown that the
results are in agreement with the presence of a single gapless Andreev doublet and several
conventional modes.
Chapter 4 gives results of the numerical modelling of the I −V dynamics in a Josephson
junction where both a 2π- and a 4π-periodic supercurrents are present. This is done in
the framework of an equivalent circuit representation, namely the resistively shunted
Josephson junction model (RSJ-model). The numerical modelling is in agreement with
the experimental results in chapter 3. First, the missing of odd Shapiro steps can be
understood by a small 4π-periodic supercurrent contribution and a large number of
modes which have a conventional 2π-periodicity. Second, the missing of odd Shapiro
steps occurs at low frequency and low rf power. Third, it is shown that stochastic processes
like Landau Zener tunnelling are most probably not responsible for the 4π contribution.
In a next step the periodicity of Josephson junctions based on quantum spin Hall
insulators using are investigated in chapter 5. A fabrication process of Josephson junctions
based on inverted HgTe quantum wells was successfully developed. In order to achieve a
good proximity effect the barrier material was removed and the superconductor deposited
without exposing the structure to air. In a next step a gate electrode was fabricated which
allows the chemical potential of the quantum well to be tuned. The measurement of the
diffraction pattern of the critical current Ic due to a magnetic field applied perpendicular
to the sample plane was conducted. In the vicinity to the expected quantum spin Hall
phase, the pattern resembles that of a superconducting quantum interference device
(SQUID). This shows that the current flows predominantly on the edges of the mesa.
This observation is taken as a proof of the presence of edge currents. By irradiating the
sample with rf, missing odd Shapiro steps up to step index n = 9 have been observed. This
evidences the presence of a 4π-periodic contribution to the supercurrent. The experiment
is repeated using a weak link based on a non-inverted HgTe quantum well. This material
is expected to be a normal band insulator without helical edge channels. In this device,
all the expected Shapiro steps are observed even at low frequencies and over the whole
gate voltage range. This shows that the observed phenomena are directly connected
to the topological band structure. Both features, namely the missing of odd Shapiro
steps and the SQUID like diffraction pattern, appear strongest towards the quantum spin
Hall regime, and thus provide evidence for induced topological superconductivity in the
helical edge states.
A more direct way to probe the periodicity of the Josephson supercurrent than using
Shapiro steps is the measurement of the emitted radiation of a weak link. This experiment
is presented in chapter 6. A conventional Josephson junction converts a dc bias V to
an ac current with a characteristic Josephson frequency fJ
= eV /h. In a topological
Josephson junction a frequency at half the Josephson frequency fJ /2 is expected. A
new measurement setup was developed in order to measure the emitted spectrum of a
single Josephson junction. With this setup the spectrum of a HgTe quantum well based
Josephson junction was measured and the emission at half the Josephson frequency fJ /2
was detected. In addition, fJ emission is also detected depending on the gate voltage and
detection frequency. The spectrum is again dominated by half the Josephson emission at
low voltages while the conventional emission is determines the spectrum at high voltages.
A non-inverted quantum well shows only conventional emission over the whole gateSUMMARY 149
voltage and frequency range. The linewidth of the detected frequencies gives a measure
on the lifetime of the bound states: From there, a coherence time of 0.3–4ns for the fJ /2
line has been deduced. This is generally shorter than for the fJ line (3–4ns).
The last part of the thesis, chapter 7, reports on the induced superconducting state
in a strained HgTe layer investigated by point-contact Andreev reflection spectroscopy.
For the experiment, a HgTe mesa was fabricated with a small constriction. The diameter
of the orifice was chosen to be smaller than the mean free path estimated from magne-
totransport measurements. Thus one gets a ballistic point-contact which allows energy
resolved spectroscopy. One part of the mesa is covered with a superconductor which
induces superconducting correlations into the surface states of the topological insulator.
This experiment therefore probes a single superconductor normal interface. In contrast to
the Josephson junctions studied previously, the geometry allows the acquisition of energy
resolved information of the induced superconducting state through the measurement
of the differential conductance dI/dV as a function of applied dc bias for various gate
voltages, temperatures and magnetic fields. An induced superconducting order parame-
ter of about 70µeV was extracted but also signatures of the niobium gap at the expected
value around Δ Nb
≈ 1.1meV have been found. Simulations using the theory developed by
Blonder, Tinkham and Klapwijk and an extended model taking the topological surface
states into account were used to fit the data. The simulations are in agreement with a
small barrier at the topological insulator-induced topological superconductor interface
and a high barrier at the Nb to topological insulator interface. To understand the full con-
ductance curve as a function of applied voltage, a non-equilibrium driven transformation
is suggested. The induced superconductivity is suppressed at a certain bias value due to
local electron population. In accordance with this suppression, the relevant scattering
regions change spatially as a function of applied bias.
To conclude, it is emphasized that the experiments conducted in this thesis found
clear signatures of induced topological superconductivity in HgTe based quantum well
and bulk devices and opens up the avenue to many experiments. It would be interesting
to apply the developed concepts to other topological matter-superconductor hybrid
systems. The direct spectroscopy and manipulation of the Andreev bound states using
circuit quantum electrodynamic techniques should be the next steps for HgTe based
samples. This was already achieved in superconducting atomic break junctions by the
group in Saclay [Science 2015, 349, 1199-1202 (2015)]. Another possible development
would be the on-chip detection of the emitted spectrum as a function of the phase φ
through the junction. In this connection, the topological junction needs to be shunted
by a parallel ancillary junction. Such a setup would allow the current phase relation
I(φ) directly and the lifetime of the bound states to be measured directly. By coupling
this system to a spectrometer, which can be another Josephson junction, the energy
dependence of the Andreev bound states E(φ) could be obtained. The experiments on
the Andreev reflection spectroscopy described in this thesis could easily be extended to
two dimensional topological insulators and to more complex geometries, like a phase
bias loop or a tunable barrier at the point-contact. This work might also be useful for
answering the question how and why Majorana bound states can be localized in quantum
spin Hall systems.
The work presented in this thesis covers the effects of early-life adversity in the context of altered serotonin (5-HT; 5-hydroxytryptamine) system functioning in mice. The main body is focussing on a screening approach identifying molecular processes, potentially involved in distinct behavioural manifestations that emerge from or are concomitant with early adversity and, with regard to some behavioural manifestations, dependent on the functioning of the 5-HT system.
For cellular viability, transcription is a fundamental process. Hereby, the DNA plays the most elemental and highly versatile role. It has long been known that promoters contain conserved and often well-defined motifs, which dictate the site of transcription initiation by providing binding sites for regulatory proteins. However, research within the last decade revealed that it is promoters lacking conserved promoter motifs and transcribing constitutively expressed genes that constitute the majority of promoters in eukaryotes. While the process of transcription initiation is well studied, whether defined DNA sequence motifs are required for the transcription of constitutively expressed genes in eukaryotes remains unknown. In the highly divergent protozoan parasite Trypanosoma brucei, most of the proteincoding genes are organized in large polycistronic transcription units. The genes within one polycistronic transcription unit are generally unrelated and transcribed by a common transcription start site for which no RNA polymerase II promoter motifs have been identified so far. Thus, it is assumed that transcription initiation is not regulated but how transcription is initiated in T. brucei is not known. This study aimed to investigate the requirement of DNA sequence motifs and chromatin structures for transcription initiation in an organism lacking transcriptional regulation. To this end, I performed a systematic analysis to investigate the dependence of transcription initiation on the DNA sequence. I was able to identify GT-rich promoter elements required for directional transcription initiation and targeted deposition of the histone variant H2A.Z, a conserved component during transcription initiation. Furthermore, nucleosome positioning data in this work provide evidence that sites of transcription initiation are rather characterized by broad regions of open and more accessible chromatin than narrow nucleosome depleted regions as it is the case in other eukaryotes. These findings highlight the importance of chromatin during transcription initiation. Polycistronic RNA in T. brucei is separated by adding an independently transcribed miniexon during trans-splicing. The data in this work suggest that nucleosome occupancy plays an important role during RNA maturation by slowing down the progressing polymerase and thereby facilitating the choice of the proper splice site during trans-splicing. Overall, this work investigated the role of the DNA sequence during transcription initiation and nucleosome positioning in a highly divergent eukaryote. Furthermore, the findings shed light on the conservation of the requirement of DNA motifs during transcription initiation and the regulatory potential of chromatin during RNA maturation. The findings improve the understanding of gene expression regulation in T. brucei, a eukaryotic parasite lacking transcriptional Regulation.
In three studies, we investigated, if and how different modes of presentation - written, auditory, audiovisual (auditory combined with pictures) - affect comprehension of semantically identical materials. Children, beginning from the age of 7, and adults were included into the studies. A vast amount of studies have shown that pictures can facilitate text comprehension (e.g. Carney & Levin, 2002).
Other than the majority of these previous studies, we assessed text comprehension with methods that we assume to allow more differentiated insights into the cognitive processes that - according to current theories - underlie text comprehension. Text comprehension involves at least three levels of mental representations (see Kintsch, 1998). Moreover, text comprehension means constructing a locally and globally coherent mental representation of the text content.
Using a sentence recognition task (see Schmalhofer & Glavanov, 1986), we examined whether the memory of the text surface, the text base, and the situation model differs between written, auditory, and audiovisual text presentation in a sample of 103 8- and 10-year-olds and adults (Study I), and between auditory and audiovisual text presentation in a sample of 106 7-, 9-, and 11-year-olds (Study II). Furthermore, we examined with 155 9- and 11-year-olds, whether the ability to draw inferences to establish local and global coherence differs between written, auditory, and audiovisual text presentation. These inferences were indicated by reaction times to words associated with a protagonist's super- (global) or subordinate (local) goal.
Overall, the results of these three studies taken together, indicate that children up to age 11 do not only have better memory of not only the text surface, but also of the situation model when pictures are added to an auditory text. This effect became apparent in comparison with both auditory and written texts. For the adults, in contrast, we did not find an effect of the presentation mode. Furthermore, both 9- and 11-year-olds were better at establishing global coherence at audiovisual compared to auditory text presentation. Written presentation turned out to be superior to auditory presentation in terms of both local and global coherence.
The rise of automated driving will fundamentally change our mobility in the near future. This thesis specifically considers the stage of so called highly automated driving (Level 3, SAE International, 2014). At this level, a system carries out vehicle guidance in specific application areas, e.g. on highway roads. The driver can temporarily suspend from monitoring the driving task and might use the time by engaging in so called non-driving related tasks (NDR-tasks). However, the driver is still in charge to resume vehicle control when prompted by the system. This new role of the driver has to be critically examined from a human factors perspective.
The main aim of this thesis was to systematically investigate the impact of different NDR-tasks on driver behavior and take-over performance. Wickens’ (2008) architecture of multiple resource theory was chosen as theoretical framework, with the building blocks of multiplicity (task interference due to resource overlap), mental workload (task demands), and aspects of executive control or self-regulation. Specific adaptations and extensions of the theory were discussed to account for the context of NDR-task interactions in highly automated driving.
Overall four driving simulator studies were carried out to investigate the role of these theoretical components. Study 1 showed that drivers focused NDR-task engagement on sections of highly automated compared to manual driving. In addition, drivers avoided task engagement prior to predictable take-over situations. These results indicate that self-regulatory behavior, as reported for manual driving, also takes place in the context of highly automated driving. Study 2 specifically addressed the impact of NDR-tasks’ stimulus and response modalities on take-over performance. Results showed that particularly visual-manual tasks with high motoric load (including the need to get rid of a handheld object) had detrimental effects. However, drivers seemed to be aware of task specific distraction in take-over situations and strictly canceled visual-manual tasks compared to a low impairing auditory-vocal task. Study 3 revealed that also the mental demand of NDR-tasks should be considered for drivers’ take-over performance. Finally, different human-machine-interfaces were developed and evaluated in Simulator Study 4. Concepts including an explicit pre-alert (“notification”) clearly supported drivers’ self-regulation and achieved high usability and acceptance ratings.
Overall, this thesis indicates that the architecture of multiple resource theory provides a useful framework for research in this field. Practical implications arise regarding the potential legal regulation of NDR-tasks as well as the design of elaborated human-machine-interfaces.
The abilities to comprehend and critically evaluate scientific texts and the various arguments stated in these texts are an important aspect of scientific literacy, but these competences are usually not formally taught to students. Previous research indicates that, although undergraduate students evaluate the claims and evidence they find in scientific
documents to some extent, these evaluations usually fail to meet normative standards. In addition, students’ use of source information for evaluation is often insufficient. The rise of the internet and the increased accessibility of information have yielded some additional challenges that highlight the importance of adequate training and instruction.The aim of the present work was to further examine introductory students’ competences to systematically and heuristically evaluate scientific information, to identify relevant strategies that are involved in a successful evaluation, and to use this knowledge to design appropriate interventions for fostering epistemic competences in university students.To this end, a number of computer-based studies, including both quantitative and qualitative data as well as experimental designs, were developed. The first two studies were designed to specify educational needs and to reveal helpful processing strategies that are required in different tasks and situations. Two expert-novice comparisons were developed, whereby the performance of German students of psychology (novices) was compared to the performance of scientists from the domain of psychology (experts) in a number of different tasks, such as systematic plausibility evaluations of informal arguments (Study 1) or heuristic evaluations of the credibility of multiple scientific documents (Study 2). A think-aloud procedure was used
to identify specific strategies that were applied in both groups during task completion, and that possibly mediated performance differences between students and scientists. In addition, relationships between different strategies and between strategy use and relevant conceptual knowledge was examined. Based on the results of the expert-novice comparisons, an intervention study, consisting of two training experiments, was constructed to foster some
competences that proved to be particularly deficient in the comparisons (Study 3). Study 1 examined introductory students’ abilities to accurately judge the plausibility of informal arguments according to normative standards, to recognise common argumentation fallacies, and to identify different structural components of arguments. The results from Study 1 indicate that many students, compared to scientists, lack relevant knowledge about the structure of arguments, and that normatively accurate evaluations of their plausibility seem to be challenging in this group. Often, common argumentation fallacies were not identified correctly. Importantly, these deficits were partly mediated by differences in strategy use: It was especially difficult for students to pay sufficient attention to the relationship between argument components when forming their judgements. Moreover, they frequently relied on their intuition or opinion as a criterion for evaluation, whereas scientists predominantly determined quality of arguments based on their internal consistency.
In addition to students’ evaluation of the plausibility of informal arguments, Study 2 examined introductory students’ competences to evaluate the credibility of multiple scientific texts, and to use source characteristics for evaluation. The results show that students struggled not only to judge the plausibility of arguments correctly, but also to heuristically judge the credibility of science texts, and these deficits were fully mediated by their insufficient use of source information. In contrast, scientists were able to apply different strategies in a flexible manner. When the conditions for evaluation did not allow systematic processing (i.e. time limit), they primarily used source characteristics for their evaluations. However, when
systematic evaluations were possible (i.e. no time limit), they used more sophisticated normative criteria for their evaluations, such as paying attention to the internal consistency of arguments (cf. Study 1). Results also showed that students, in contrast to experts, lacked relevant knowledge about different publication types, and this was related to their ability to correctly determine document credibility. The results from the expert-novice comparisons also suggest that the competences assessed in both tasks might develop as a result of a more fundamental form of scientific literacy and discipline expertise. Performances in all tasks were positively related. On the basis of these results, two training experiments were developed that aimed at fostering university students’ competences to understand and evaluate informal arguments (Study 3). Experiment 1 describes an intervention approach in which students were familiarised with the formal structure of arguments based on Toulmin’s (1958) argumentation model. The performance of the experimental group to identify the structural components of this model was compared to the performance of a control group in which speed reading skills were practiced, using a pre-post-follow-up design. Results show that the training was successful for improving the comprehension of more complex arguments and relational aspects between key components in the posttest, compared to the control group. Moreover, an interaction effect was found with study performance. High achieving students with above average grades profited the most from the training intervention. Experiment 2 showed that
training in plausibility, normative criteria of argument evaluation, and argumentation fallacies improved students’ abilities to evaluate the plausibility of arguments and, in addition, their competences to recognise structural components of arguments, compared to a speed-reading control group. These results have important implications for education and practice, which will be discussed in detail in this dissertation.
In mammals, anucleate blood platelets are constantly produced by their giant bone marrow (BM) progenitors, the megakaryocytes (MKs), which originate from hematopoietic stem cells. Megakaryopoiesis and thrombopoiesis have been studied intensively, but the exact mechanisms that control platelet generation from MKs remain poorly understood. Using multiphoton intravital microscopy (MP-IVM), thrombopoiesis and proplatelet formation were analyzed in the murine BM in real-time and in vivo, identifying an important role for several proteins, including Profilin1, TRPM7 and RhoA in thrombopoiesis. Currently, it is thought that blood cell precursors, such as MKs, migrate from the endosteal niche towards the vascular niche during maturation. In contrast to this paradigm, it was shown that MKs are homogeneously distributed within the dense BM blood vessel network, leaving no space for vessel-distant niches. By combining results from in vivo MP-IVM, in situ light-sheet fluorescence microscopy (LSFM) of the intact BM as well as computational simulations, surprisingly slow MK migration, limited intervascular space and a vessel-biased MK pool were revealed, contradicting the current concept of directed MK migration during thrombopoiesis.
Platelets play an essential role in hemostasis and thrombosis, but also in the pathogenesis of ischemic stroke. Ischemic stroke, which is mainly caused by thromboembolic occlusion of brain arteries, is among the leading causes of death and disability worldwide with limited treatment options. The platelet collagen receptor glycoprotein (GP) VI is a key player in arterial thrombosis and a critical determinant of stroke outcome, making its signaling pathway an attractive target for pharmacological intervention. The spleen tyrosine kinase (Syk) is an essential signaling mediator downstream of GPVI, but also of other platelet and immune cell receptors. In this thesis, it was demonstrated that mice lacking Syk specifically in platelets are protected from arterial thrombus formation and ischemic stroke, but display unaltered hemostasis. Furthermore, it was shown that mice treated with the novel, selective and orally bioavailable Syk inhibitor BI1002494 were protected in a model of arterial thrombosis and had smaller infarct sizes and a significantly better neurological outcome 24 h after transient middle cerebral artery occlusion (tMCAO), also when BI1002494 was administered therapeutically, i.e. after ischemia. These results provide direct evidence that pharmacological Syk inhibition might become a safe therapeutic strategy. The T cell receptor chain-associated protein kinase of 70 kDA (Zap-70) is also a spleen tyrosine kinase family member, but has a lower intrinsic activity compared to Syk and is expressed in T cells and natural killer (NK) cells, but not in platelets. Unexpectedly, arterial thrombus formation in vivo can occur independently of Syk kinase function as revealed by studies in Sykki mice, which express Zap-70 under the control of intrinsic Syk promoter elements.
The present work aims towards the investigation of polymer degradation under biologically relevant conditions. In order to assess a potential degradation of polymers of interest for biomedical applications in vivo and associated effects on living tissue, representatives of poly(2-oxazoline)s and polypeptoids as well as poly(ethylene glycol) and poly(N-vinylpyrrolidone) for reference purposes are examined regarding their stability under oxidative and hydrolytic conditions as well as towards enzymatic degradation.
The polymers investigated in the framework of this thesis are generally considered to be non-biodegradable. Both poly(ethylene glycol) and poly(N-vinylpyrrolidone) are or were applied intensively in vivo provoking seriously harmful side effects like fatal blood poisoning from the oxidation of poly(ethylene glycol) chain ends or poly(N-vinylpyrrolidone) storage disease. Poly(2-alkyl-2-oxazoline)s and polypeptoids, both promising polymeric biomaterials for a wide variety of in vivo applications, are not clinically applied yet but undergo thorough investigations. However, comprising amide bonds within the backbone or the appending side chain, poly(2-alkyl-2-oxazoline)s and polypeptoids potentially offer a higher susceptibility towards (bio-)degradation. Representing the three most impactful initiators of degradation in vivo, the present study is focused on polymer deterioration by oxidative species, hydrolytic conditions and enzymes.
Oxidative species are generated in a variety of processes in vivo, both on purpose and as an unintentional by-product. Previous investigations revealed the susceptibility of poly(ethylene glycol), poly(N-vinylpyrrolidone), poly(2-alkyl-2-oxazoline)s and polypeptoids to deterioration by hydroxyl radicals deriving from hydrogen peroxide and copper ions. The obtained data confirm previous results of an apparent degradation rate increasing with increasing chain length due to self-inhibitory end group effects for all investigated polymer species. Although the exact concentrations of oxidative species in vivo are very controversial, with respect to their great variety and wide distribution the investigated polymers are likely prone to oxidative deterioration to some extent, with rates, mechanisms and degradation products strongly depending on the respective reactive species, polymer structure and chain length.
Like blood, most tissues of the human body benefit from a slightly alkaline pH value. Nevertheless, specific areas like the human stomach or tumor tissues possess acidic conditions potentially capable to cleave amide bonds comprised by poly(2-alkyl-2-oxazoline)s and polypeptoids. Unlike the hydrolysis of poly(2-alkyl-2-oxazoline)s resulting in side chain cleavage, the hydrolysis of polypeptoids induces backbone scission decreasing the polymer chain length tremendously and releasing, if performed exhaustively, the respective amino acids. Hydrolysis of polysarcosine is monitored by quantification of the released sarcosine via 1H-NMR spectroscopy and determination of the residual Mw via GPC. Its cyclic dimer sarcosine anhydride is formed as an intermediate product in this process via cyclization of unstable linear dimers of sarcosine.
Modification and degradation of bio(macro)molecules is an essential part of human metabolism. Polymers bearing amide bonds and showing a great similarity to natural occurring and widely distributed polypeptides, like poly(2-alkyl-2-oxazoline)s and polypeptoids, bear the potential of an enzymatic biodegradability by (more or less specific) peptidases. Just like the acidic hydrolysis described previously, peptidase activity would result in the cleavage of polymer amide bonds. The aim of the present thesis was to evaluate the stability of poly(2-alkyl-2-oxazoline)s and polypeptoids as well as poly(ethylene glycol) for the sake of reference under circumstances resembling in vivo conditions as closely as possible. Initial experiments focused on the degradation of dye-labeled upon incubation with homogenates of freshly harvested rat liver and kidney. However, although the obtained results are promising for the most part, they are considered rather unreliable and non-reproducible for various reasons. More conclusive data are attained from the incubation of non-labeled polymers in freshly laid chicken eggs. While no evidence for an enzymatic digestion of poly(ethylene glycol) in chicken egg white is found and deterioration of poly(2-methyl-2-oxazoline) upon incubation apparently derives from non-enzymatic hydrolysis, incubated polysarcosine samples reveal distinct elugram patterns depending on the respective C- and N-terminal end groups indicating both exopeptidase and endopeptidase activity. It has to be kept in mind though, that an enzymatic digestibility of polysarcosine does not necessarily imply the digestion of polypeptoids bearing longer side chains by peptidases as well, which should be investigated in further studies.
Visual information is essential for Drosophila to navigate its environment. The visual system of the fly has been studied for many decades and has yielded many insights about vision in general. However, visual information can be ambiguous and the system processing it needs to be able to cope with that. In this study, the visual orientation behavior of Drosophila is challenged by panoramic incoherent motion stimuli to which the fly can respond in three different, equally adaptive ways. The study is conducted in a well-established setup, the so-called flight simulator (Heisenberg and Wolf, 1993), where the fly can control its visual surroundings in stationary flight with its yaw torque, which is simultaneously recorded. The fly can either use one of two incoherently moving panorama patterns or the integrated motion of both as its reference for straight flight. It is observed that flies use all three of these behavioral alternatives for orientation. Previous models of fly motion vision do not predict a bimodal tuning to incoherent wide-field motion stimuli (Joesch et al., 2008, Borst et al., 1995), however, a recent study on blowflies could suggests that they show component selectivity to the individual moving gratings in a compound plaid stimulus (Saleem et al., 2012). Here, it can be shown that the same bimodal tuning manifests in Drosophila, although the stimuli used are different and most of the experiments are conducted in closed loop. It is found that the extent to which the Drosophila expresses this component selectivity in its orientation behavior, i.e. how often it stabilizes a single panorama pattern instead of the integrated motion of both, depends on two properties of the panorama stimuli, pattern contrast and horizontal pattern element distance. Single pattern stabilization decreases with increasing contrast and increasing pattern element distance. In the latter case, it increases again when there are very few horizontal pattern elements, although that appears to be the result of a lack of rivalry between the patterns due to the low number of pattern elements. Both increased pattern contrast and pattern element distance increase the salience of the single pattern elements. A single element in a compound visual stimulus, like a dot within a dot pattern, can be interpreted as a standalone figure or a part of a bigger unit. Previous studies on Drosophila vision have concentrated on how the fly discriminates a figure from the background (Heisenberg and Wolf, 1984, Bahl et al., 2013, Aptekar et al., 2012), but have hardly touched the question of what qualifies a figure or a background (i.e. a panorama) stimulus as such. In the present study, it is observed that, when exposed to incoherent panoramic motion stimuli, the flies prefer to orient themselves towards the average of the two motions when the panorama stimuli possess strong figure features and towards the single patterns when they do not and single pattern elements are therefore less salient.
The above-mentioned plaid stimuli are a well-known multistable percept in human psychophysics. Multistability is a property of higher visual systems and considered an indicator of endogenous activity in vision. As Drosophila expresses behavioral multistability in the IPMP, it is evaluated in this respect. The results show several parallels to human multistable perception. For one, the frequency and duration with which a behavior occurs, can be influenced, but the occurrence of the behaviors is non-deterministic and not coupled to the stimulus. It can also be shown that the switches between behaviors do not stem from a rivalry of the two visual hemispheres of the fly, although monocularity does also influence the likelihood with which the behaviors occur. Secondly, like in human perceptual rivalry, individual flies exhibit strong idiosyncrasies regarding the overall durations they spend with the different behaviors and the frequencies with which they switch between them. Finally, the distribution of the durations between the behavioral switches can be fit to the same function as the distribution of percept durations in human multistable perception, the gamma function, although it has a different shape and therefore also differing parameters. The Drosophila mutant radish, which has been shown to have attention-like deficits (van Swinderen and Brembs, 2010, Koenig et al., 2016a), does also express an altered behavior in the IPMP compared to wildtype flies. As these behavioral alterations resemble effects on multistable perception found in humans suffering from ADHD (Amador-Campos et al., 2015) and perceptual multistability is generally considered to be closely related to attention (Leopold and Logothetis, 1999), attentional processes are also very likely to play a role in the flies’ behavior in the IPMP.
In conclusion, the visual system of Drosophila is capable disentangle incoherent motion stimuli even if they overlap and cover the entire visual field, i.e. it shows component selectivity of wide-field motion. Whether it uses a single wide-field motion component or the average of two as its reference for straight flight depends on pattern contrast and horizontal pattern element density, which indicates an involvement of a figure-background rivalry. This rivalry and the one between the two wide-field motion components elicit a multistability in the orientation behavior of the fly the temporal dynamics of which partially resemble the temporal dynamics of human multistable perception and which also suggests the involvement of attentional processes.
This book produces three main results. First, from publicly available statistics, it can be inferred that the interest rate risk from on-balance sheet term transformation of banks in Germany exceeds the euro area average and is bound to increase even further. German banks push for shorter-term funding and hardly counteract the increased demand for longer-term loans. Within Germany, savings banks and cooperative banks are particularly engaged. Second, the supervisory interest rate shock scenarios are found to be increasingly detached both from the historic and the forecasted development of interest rates in Germany. In particular, German banks have been exposed to fewer and smaller adverse changes of the term structure. This increasingly limits the informative content of mere exposure measures such as the Basel interest rate coefficient when used as risk measures as is common practice in banking supervision and economic research. An impact assessment further supports the conclusion that the least that is required is a more comprehensive set of shock scenarios. Third and finally, there is a reasonable theoretical rationale and there is strong empirical evidence for banks' search for yield in interest rate risk. In addition to the established positive link between the term spread and the taking of interest rate risk by banks an additional negative link can be explained theoretically and there is significant empirical evidence for its existence and relevance. There is even a threshold of income below which banks' search for yield in interest rate risk surfaces openly.
Beatty sets (also called Beatty sequences) have appeared as early as 1772 in the astronomical studies of Johann III Bernoulli as a tool for easing manual calculations and - as Elwin Bruno Christoffel pointed out in 1888 - lend themselves to exposing intricate properties of the real irrationals. Since then, numerous researchers have explored a multitude of arithmetic properties of Beatty sets; the interrelation between Beatty sets and modular inversion, as well as Beatty sets and the set of rational primes, being the central topic of this book. The inquiry into the relation to rational primes is complemented by considering a natural generalisation to imaginary quadratic number fields.
The human-bacterial pathogen interaction is a complex process that results from
a prolonged evolutionary arms race in the struggle for survival. The pathogen employs
virulence strategies to achieve host colonization, and the latter counteracts using defense
programs. The encounter of both organisms results in drastic physiological changes
leading to stress, which is an ancient response accompanying infection. Recent evidence
suggests that the stress response in the host converges with the innate immune pathways
and influences the outcome of infection. However, the contribution of stress and the exact
mechanism(s) of its involvement in host defense remain to be elucidated. Using the model
bacterial pathogen Shigella flexneri, and comparing it with the closely related pathogen
Salmonella Typhimurium, this study investigated the role of host stress in the outcome of
infection.
Shigella infection is characterized by a pronounced pro-inflammatory response
that causes intense stress in host tissues, particularly the intestinal epithelium, which
constitutes the first barrier against Shigella colonization. In this study, inflammatory
stress was simulated in epithelial cells by inducing oxidative stress, hypoxia, and cytokine
stimulation. Shigella infection of epithelial cells exposed to such stresses was strongly
inhibited at the adhesion/binding stage. This resulted from the depletion of sphingolipidrafts
in the plasma membrane by the stress-activated sphingomyelinases. Interestingly,
Salmonella adhesion was not affected, by virtue of its flagellar motility, which allowed the
gathering of bacteria at remaining membrane rafts. Moreover, the intracellular replication
of Shigella lead to a similar sphingolipid-raft depletion in the membrane across adjacent
cells inhibiting extracellular bacterial invasion.
Additionally, this study shows that Shigella infection interferes with the host stress
granule-formation in response to stress. Interestingly, infected cells exhibited a nuclear
depletion of the global RNA-binding stress-granule associated proteins TIAR and TIA-1
and their accumulation in the cytoplasm.
Overall, this work investigated different aspects of the host stress-response in the
defense against bacterial infection. The findings shed light on the importance of the host
stress-pathways during infection, and improve the understanding of different strategies
in host-pathogen interaction.
This work summarizes the results of studies on three major aspects of platelet signaling and of the pathogenesis of immune thrombocytopenia. Therefore, this thesis is divided into three parts. i) Platelet activation and subsequent thrombus formation at sites of vascular injury is crucial for normal hemostasis, but it can also trigger myocardial infarction and stroke. The initial capture of flowing platelets to the injured vessel wall is mediated by the interaction of the glycoprotein (GP) Ib-V-IX complex with von Willebrand factor (vWF) immobilized on the exposed subendothelial extracellular matrix (ECM). The central importance of GPIb for platelet adhesion is well established, whereas GPV is generally considered to be of minor relevance for platelet physiology and thrombus formation. This study intended to clarify the relevance of this receptor during thrombus formation using Gp5-/- mice and mice with different double-deficiencies in GPV and in other platelet receptors. It was found that GPV and the collagen receptor integrin a2b1 have partially redundant functions in collagentriggered platelet aggregation. Further, it was revealed that GPV limits thrombus formation and impairs hemostasis in vivo. The data presented here demonstrate that the protective effect of GPVI-deficiency (another platelet collagen receptor) in arterial thrombosis and ischemic stroke depends on the expression of GPV. Moreover, it was demonstrated that lack of GPV restores the hemostatic function of mice lacking both GPVI and a2b1 or mice lacking GPVI and the C-type lectin receptor 2 (CLEC-2). Conclusively, GPV-depletion or blockade might have the potential to treat hemorrhagic disease states. ii) Platelets contain the two phospholipase (PL) D isoforms, PLD1 and PLD2, both of which presumably become activated upon platelet stimulation. However, the function of PLD in the process of platelet activation and aggregation has not been definitively explored. Thus, PLD-deficient mice were analyzed. Mice lacking PLD1 or PLD2 were viable, fertile and had normal platelet counts. PLD1 was found to be responsible for the inducible PLD-activity in platelets and to contribute to efficient integrin activation under static conditions. Moreover, flow adhesion experiments revealed that PLD1 is essential for efficient GPIb-mediated integrin activation. Consequently, Pld1-/- mice were protected from arterial thrombosis and ischemic brain infarction without affecting tail bleeding times. Hence, inhibition of PLD1 might be a novel approach for antithrombotic therapy. iii) Cellular activation of platelets or immune cells results in increased cytosolic calcium (Ca2+) levels. Store-operated calcium entry (SOCE) via the STIM1-Orai1 axis is the main route of Ca2+ entry downstream of immunoreceptor tyrosine-based activating motif (ITAM) receptor stimulation in mast cells and T cells. However, the requirement of Ca2+-mobilization in Fcg receptor (FcgR)-signaling and the relevance of STIM2 for T cell SOCE have been unclear. To address these questions, genetically modified mice lacking central molecules of the SOCE machinery were analyzed. Ca2+-measurements revealed that both STIM isoforms contribute to Ca2+-mobilization downstream of T cell receptor activation. Additionally, it was found that FcgR stimulation results in SOCE and is mediated by STIM1 and probably Orai1. Animal models of immune thrombocytopenia (ITP) revealed that SOCE is essential for platelet clearance and that both STIM isoforms contribute to the pathology of ITP. Moreover, in this work it was also demonstrated that STIM1 and Orai1 are essential in IgG-mediated systemic anaphylaxis. STIM2 contributes to IgG-mediated, but not to IgE-mediated anaphylaxis. The data indicate that interference with SOCE might become a new strategy to prevent or treat IgG-dependent autoimmune diseases.
Lagrange Multiplier Methods for Constrained Optimization and Variational Problems in Banach Spaces
(2018)
This thesis is concerned with a class of general-purpose algorithms for constrained minimization problems, variational inequalities, and quasi-variational inequalities in Banach spaces.
A substantial amount of background material from Banach space theory, convex analysis, variational analysis, and optimization theory is presented, including some results which are refinements of those existing in the literature. This basis is used to formulate an augmented Lagrangian algorithm with multiplier safeguarding for the solution of constrained optimization problems in Banach spaces. The method is analyzed in terms of local and global convergence, and many popular problem classes such as nonlinear programming, semidefinite programming, and function space optimization are shown to be included as special cases of the general setting.
The algorithmic framework is then extended to variational and quasi-variational inequalities, which include, by extension, Nash and generalized Nash equilibrium problems. For these problem classes, the convergence is analyzed in detail. The thesis then presents a rich collection of application examples for all problem classes, including implementation details and numerical results.
This work considered the frequency-modulated balanced steady-state free precession (fm-bSSFP) sequence as a tool to provide banding free bSSFP MR images. The sequence was implemented and successfully applied to suppress bandings in various in vitro and in vivo examples. In combination with a radial trajectory it is a promising alternative for standard bSSFP applications. First, two specialized applications were shown to establish the benefits of the acquisition strategy in itself. In real time cardiac imaging, it was shown that the continuous shift in frequency causes a movement of the bandings across the FOV. Thus, no anatomical region is constantly impaired, and a suitable timeframe can be found to examine all important structures. Furthermore, a combination of images with different artifact positions, similar to phase-cycled acquisitions is possible. In this way, fast, banding-free imaging of the moving heart was realized. Second, acquisitions with long TR were shown. While standard bSSFP suffers from increasing incidence of bandings with higher TR values, the frequency-modulated approach provided banding free images, regardless of the TR.
A huge disadvantage of fm-bSSFP, in combination with the radial trajectory, is the decrease in signal intensity. In this work a specialized reconstruction method, the multifrequency reconstruction for frequency-modulated bSSFP (Muffm), was established, which successfully compensated that phenomena. The application of Muffm to several anatomical sites, such as inner ear, legs and cardiac acquisitions, proofed the advantageous SNR of the reconstruction.
Furthermore, fm-bSSFP was applied to the clinically highly relevant task of water-fat separation. Former approaches of a phase-sensitive separation procedure in combination with standard bSSFP showed promising results but failed in cases of high inhomogeneity or high field strengths where banding artifacts become a major issue. The novel approach of using the fm-bSSFP acquisition strategy with the separation approach provided robust, reliable images of high quality. Again, losses in signal intensity could be regained by Muffm, as both approaches are completely compatible.
Opposed to conventional banding suppression techniques, like frequency-scouts or phase-cycling, all reconstruction methods established in this work rely on a single radial acquisition, with scan times similar to standard bSSFP scans. No prolonged measurement times occur and patient time in the scanner is kept as short as possible, improving patient comfort, susceptibility to motion or physiological noise and cost of one scan.
All in all, the frequency-modulated acquisition in combination with specializes reconstruction methods, leads to a completely new quality of images with short acquisition times.
The photochemistry and photophysics of transition metal complexes are of great interest, since such materials can be exploited for a wide range of applications such as in photocatalysis, sensing and imaging, multiphoton-absorption materials and the fabrication of OLEDs. A full understanding of the excited state behavior of transition metal compounds is therefore important for the design of new materials for the applications mentioned above. In principle, the luminescence properties of this class of compounds can be tuned by changing the metal or subtle changes in the ligand environment.
Furthermore, transition-metal complexes continue to play a major role in modern synthetic chemistry. In particular, they can realize selective transformations that would either be difficult or impossible by conventional organic chemistry. For example, they enable the efficient and selective formation of carbon–carbon bonds. One famous example of these types of transformations are metal-catalyzed cyclization reactions. Herein, metallacyclopentadiene complexes are considered as key intermediates in a number of metal-mediated or -catalyzed cyclization reactions, i.e. the [2+2+2] cyclotrimerization of alkynes. Recent research has focused on the synthesis and characterization of these metallacyclic intermediates such as MC4 ring systems. Metallacyclopentadienes are structurally related to main group EC4 systems such as boroles, siloles, thiophenes and phospholes. Overall, this group of compounds (EC4 analogues) is well known and has attracted significant attention due to their electron-transport and optical properties. Unlike transition metal analogues, however, these EC4 systems show no phosphorescence, which is due to inefficient SOC compared to 2nd and 3rd row transition metals, which promoted us to explore the phosphorescence potential of metallacyclopentadienes.
In 2001, Marder et al. developed a one-pot high-yield synthesis of luminescent 2,5 bis(arylethynyl)rhodacyclopentadienes by reductive coupling of 1,4-diarylbuta-1,3-diynes at a suitable rhodium(I) precursor. Over the past years, a variety of ligands (e.g. TMSA, S,S’ diethyldithiocarbamate, etc.) and 1,4-bis(p-R-phenyl)-1,3-butadiynes or linked , bis(p-R-arylethynyl)alkanes (R = electron withdrawing or donating groups) were investigated and always provided a selective formation of 2,5 bis(arylethynyl)rhodacyclopentadienes, which were reported to be fluorescent despite presence of the heavy atom. To examine the influence of the ligand sphere around the rhodium center on the intersystem-crossing (ISC) processes in the above-mentioned fluorescent rhodacyclopentadienes and to increase the metal character in the frontier orbitals by destabilizing the Rh filled d-orbitals, a -electron donating group was introduced, namely acetylacetonato (acac). Interestingly, in 2010 Tay reacted [Rh(κ2-O,O-acac)(PMe3)2] with ,-bis(p-R-arylbutadiynyl)alkanes and observed not only the fluorescent 2,5 bis(arylethynyl)rhodacyclopentadienes, but also rhodium 2,2’-bph complexes as products, which were reported to be phosphorescent in preliminary photophysical studies.
In this work, the reaction behavior of [Rh(κ2-O,O-acac)(L)2] (L = PMe3, P(p-tolyl)3) with different ,-bis(p-R-arylbutadiynyl)alkanes was established. Furthermore, the separation of the two isomers 2,5-bis(arylethynyl)rhodacyclopentadienes (A) and rhodium 2,2’-bph complexes (B), and the photophysical properties of those were explored in order to clarify their fundamentally different excited state behaviors.
Reactions of [Rh(κ2-O,O-acac)(P(p-tolyl3)2)] with ,-bis(arylbutadiynyl)alkanes gives exclusively weakly fluorescent 2,5-bis(arylethynyl)rhodacyclopentadienes. Changing the phosphine ligands to PMe3, reactions of [Rh(κ2-O,O-acac)(PMe3)2] and , bis(arylbutadiynyl)alkanes afford two isomeric types of MC4 metallacycles with very different photophysical properties, as mentioned before.
As a result of a normal [2+2] reductive coupling at rhodium, 2,5 bis(arylethynyl)rhodacyclopentadienes (A) are formed, which display intense fluorescence. Rhodium 2,2’-bph complexes (B), which show phosphorescence, have been isolated as a second isomer originating from an unusual [4+2] cycloaddition reaction and a subsequent -H-shift. Control of the isomer distribution, of 2,5-bis(arylethynyl)rhodacyclopentadienes (A) and rhodium biphenyl complexes (B), is achieved by modification of the linked , bis(arylbutadiynyl)alkane.
Changing the linker length from four CH2 to three CH2 groups, dramatically favors the formation of the rhodium biphenyl isomer B, providing a fundamentally new route to access photoactive metal biphenyl compounds in good yields. This is very exciting as the photophysical properties of only a limited number of bph complexes of Ir, Pd and Pt had been explored. The lack of photophysical reports in the literature is presumably due to the limited synthetic access to various substituted 2,2’-bph transition metal complexes.
On the other hand, as the reaction of [Rh(κ2-O,O-acac)(P(p-tolyl)3)2] with , bis(arylbutadiynyl)alkanes provides a selective reaction to give weakly fluorescent 2,5 bis(arylethynyl)rhodacyclopentadiene complexes with P(p-tolyl)3 as phosphine ligands, a different synthetic access to 2,5-bis(arylethynyl)rhodacyclopentadiene complexes with PMe3 as phosphine ligands was developed, preventing the time-consuming separation of the isomers. The weak rhodium-phosphorus bonds of 2,5-bis(arylethynyl)rhodacyclopentadiene complexes bearing P(p tolyl)3 as phosphine ligands, relative to those of related PMe3 complexes, allowed for facile ligand exchange reactions. In the presence of an excess of PMe3, a stepwise reaction was observed, giving first the mono-substituted, mixed-phosphine rhodacyclopentadiene intermediates and, subsequently, full conversion to the highly fluorescent 2,5 bis(arylethynyl)-rhodacyclopentadienes bearing only PMe3 ligands (by increasing the reaction temperature).
With spectroscopically pure 2,5-bis(arylethynyl)rhodacyclopentadiene complexes A (bearing PMe3 as phosphine ligands) and rhodium 2,2-bph complexes B in hand, photophysical studies were conducted. The 2,5-bis(arylethynyl)rhodacyclopentadienes (A) are highly fluorescent with high quantum yields up to 54% and very short lifetimes (τ = 0.2 – 2.5 ns) in solution at room temperature. Even at 77 K in glass matrices, no additional phosphorescence is observed which is in line with previous observations made by Steffen et al., who showed that SOC mediated by the heavy metal atom in 2,5-bis(arylethynyl)rhodacyclopentadienes and 2,5 bis(arylethynyl)iridacyclopentadienes is negligible. The origin of this fluorescence lies in the pure intra-ligand (IL) nature of the excited states S1 and T1. The HOMO and the LUMO are nearly pure and * ligand orbitals, respectively, and the HOMO is energetically well separated from the filled rhodium d orbitals. The absence of phosphorescence in transition metal complexes due to mainly IL character of the excited states is not unusual, even for heavier homologues than rhodium with greater SOC, resulting in residual S1 emission (fluorescence) despite ISC S1→Tn being sufficiently fast for population of T1 states. However, there are very few complexes that exhibit fluorescence with the efficiency displayed by our rhodacyclopentadienes, which involves exceptionally slow S1→Tn ISC on the timescale of nanoseconds rather than a few picoseconds or faster.
In stark contrast, the 2,2’-bph rhodium complexes B are exclusively phosphorescent, as expected for 2nd-row transition metal complexes, and show long-lived (hundreds of s) phosphorescence (Ф = 0.01 – 0.33) at room temperature in solution. As no fluorescence is detected even at low temperature, it can be assumed that S1→Tn ISC must be faster than both fluorescence and non-radiative decay from the S1 state. This contrasts with the behavior of the isomeric 2,5-bis(arylethynyl)rhodacyclopentadienes for which unusually slow ISC occurs on a timescale that is competitive with fluorescence (vide supra). The very small values for the radiative rate constants, however, indicate that the nature of the T1 state is purely 3IL with weak SOC mediated by the Rh atom. The phosphorescence efficiency of these complexes in solution at room temperature is even more impressive, as non-radiative coupling of the excited state with the ground state typically inhibits phosphorescence. Instead, the rigidity of the organic -system allows the ligand-based excited triplet state to exist in solution for up to 646 s and to emit with high quantum yields for biphenyl complexes. The exceptionally long lifetimes and small radiative rate constants of the rhodium biphenyl complexes are presumably a result of the large conjugated -system of the organic ligand. According to TD DFT studies, the T1 state involves charge-transfer from the biphenyl ligand into the arylethynyl moiety away from the rhodium atom. This reduces the SOC of the metal center that would be necessary for fast phosphorescence. These results show that the π-chromophoric ligand can gain control over the photophysical excited state behavior to such an extent that even heavy transition metal atoms like rhodium participate in increasing the fluorescence such as main-group analogues do. Furthermore, in the 2,2’-bph rhodium complexes, the rigidity of the organic -system allows the ligand-based excited triplet state to exist in solution for up to hundreds of s and to emit with exceptional quantum yields.
Therefore, investigations of the influence of the ligand sphere around the rhodium center have been made to modify the photophysical properties and furthermore to explore the reaction behavior of these rhodium complexes. Bearing in mind that the P(p-tolyl)3 ligands can easily be replaced by the stronger -donating PMe3 ligands, ligand exchange reactions with N heterocyclic carbenes (NHCs) as even stronger -donors was investigated. Addition of two equivalents of NHCs at room temperature led to the release of one equivalent of P(p-tolyl3) and formation of the mono-substituted NHC rhodium complex. The reaction of isolated mono-NHC complex with another equivalent of NHC at room temperature did not result in the exchange of the second phosphine ligand. Moderate heating of the reaction to 60 °C, however, resulted in the formation of tetra-substituted NHC rhodium complex [Rh(nPr2Im)4]+[acac]-. To circumvent the loss of the other ligands in the experiments described above, a different approach was investigated to access rhodacyclopentadienes with NHC instead of phosphine ligands.
Reaction of the bis-NHC complex [Rh(κ2-O,O-acac)(nPr2Im)2] with , bis(arylbutadiynyl)alkanes at room temperature resulted 2,5-bis(arylethynyl)-rhodacyclopentadienes with the NHC ligands being cis or trans to each other as indicated by NMR spectroscopic measurements and single-crystal X-ray diffraction analysis. Isolation of clean material and a fundamental photophysical study could not be finished for reasons of time within the scope of this work.
Furthermore, shortening of the well conjugated -system of the chromophoric ligand (changing from tetraynes to diynes) was another strategy to examine the reaction behavior of theses ligands with rhodium(I) complexes and to modify the excited state behavior of the formed rhodacyclopentadienes. The reaction of [Rh(κ2-O,O-acac)(PMe3)2] with 1,7 diaryl 1,6-heptadiynes (diynes) leads to the selective formation of 2,5 bis(aryl)rhodacyclopentadienes. These compounds, however, are very weakly fluorescent with quantum yields ФPL < 1, and very short emission lifetimes in toluene at room temperature. Presumably, vibrational modes of the bis(phenyl)butadiene backbone leads to a higher rate constant for non-radiative decay and is thus responsible for the low quantum yields compared to their corresponding PMe3 complexes with the bis(phenylethynyl)butadiene backbone at room temperature. No additional phosphorescence, even at 77 K in the glass matrix is observed.
Chancing the phosphine ligands to P(p-tolyl)3, reactions of [Rh(κ2-O,O-acac)(P(p-tolyl3)2)] with 1,7-diaryl-1,6-heptadiynes, however, resulted in a metal-mediated or -catalyzed cycloaddition reaction of alkynes and leads to full conversion to dimerization and trimerization products and recovery of the rhodium(I) starting material. This is intuitive, considering that P(Ar)3 (Ar = aryl) ligands are considered weaker -donor ligands and therefore have a higher tendency to dissociate. Therefore, rhodium(I) complexes with aryl phosphines as ligands have an increasing tendency to promote catalytic reactions, while the stronger -donating ligands (PMe3 or NHCs) promote the formation of stable rhodium complexes.
Finally, in Chapter 4, the findings of the work conducted on N-heterocyclic carbenes (NHCs) and cyclic (alkyl)(amino)carbenes (CAACs) is presented. These compounds have unique electronic and steric properties and are therefore of great interest as ligands and organo-catalysts. In this work, studies of substitution reactions involving novel carbonyl complexes of rhodium and nickel are reported. For characterization and comparison of CAACmethyl with the large amount of data available for NHC and sterically more demanding CAAC ligands, an overview on physicochemical data (electronics, sterics and bond strength) is provided.
The reaction of [Rh(-Cl)(CO)2]2 with 2 equivalents of CAACmethyl at low temperature afforded the mononuclear complex cis-[(RhCl(CO)2(CAACmethyl)]. However, reacting [Rh( Cl)(CO)2]2 with CAACmethyl at room temperature afforded a mixture of complexes. The mononuclear complex [(RhCl(CO)(CAACmethyl)2], the chloro-bridged complexes [(Rh2( Cl)2(CO)3(CAACmethyl)], [Rh(-Cl)(CO)(CAACmethyl)]2 and a carbon monoxide activation product were formed. The carbon monoxide activation product is presumably formed via the reaction of two equivalents of the CAAC with CO to give the bis-carbene adduct of CO, and subsequent rearrangement via migration of the Dipp moiety. While classical N-heterocyclic carbenes are not electrophilic enough to react with CO, related diamidocarbenes and alkyl(amino)carbenes undergo addition reactions with CO to give the corresponding ketenes. Consequently, to obtain the CAAC-disubstituted mononuclear complex selectively, 8 equivalents of CAACmethyl were reacted with 1 equivalent of [Rh(-Cl)(CO)2]2. For the evaluation of TEP values, [Ni(CO)3(CAAC)] was synthesized in collaboration with the group of Radius. With the complexes [(RhCl(CO)(CAACmethyl)2] and [Ni(CO)3(CAAC)] in hand, it was furthermore possible to examine the electronic and steric parameters of CAACmethyl. Like its bulkier congeners CAACmenthyl and CAACcy, the methyl-substituted CAAC is proposed to be a notably stronger -donor than common NHCs. While it has a very similar TEP value of 2046 cm-1, it additionally possess superior -acceptor properties (P = 67.2 ppm of phosphinidene adduct).
CAACs appear to be very effective in the isolation of a variety of otherwise unstable main group and transition metal diamagnetic and paramagnetic species. This is due to their low-lying LUMO and the small singlet-triplet gap. These electronic properties also allow free CAACs to activate small molecules with strong bonds. They also bind strongly to transition metal centers, which enables their use under harsh conditions. One recent development is the use of CAACs as ligands in transition metal complexes, which previously were only postulated as short-lived catalytic intermediates.[292,345] The availability of these reactive species allows for a better understanding of known catalytic reactions and the design of new catalysts and, moreover, new applications. For example Radius et al.[320] prepared a CAAC complex of cobalt as a precursor for thin-film deposition and Steffen et al.[346] reported a CAAC complex of copper with very high photoluminescent properties, which could be used in LED devices. With the development of cheap and facile synthetic methods for the preparation of CAACs and their corresponding transition metals complexes, as well as the knowledge of their electronic properties, it is safe to predict that applications in and around this field of chemistry will continue to increase.