Shapes and Dynamics of Blood Cells in Poiseuille and Shear Flows

The dynamics, shape, deformation, and orientation of red blood cells in microcirculation affect the rheology, flow resistance and transport properties of whole blood. This leads to important correlations of cellular and continuum scales. Furthermore, the dynamics of RBCs subject to different flow conditions and vessel geometries is relevant for both fundamental research and biomedical applications (e.g drug delivery). In this thesis, the behaviour of RBCs is investigated for different flow conditions via computer simulations. We use a combination of two mesoscopic particle-based simulation techniques, dissipative particle dynamics and smoothed dissipative particle dynamics. We focus on the microcapillary scale of several μm. At this scale, blood cannot be considered at the continuum but has to be studied at the cellular level. The connection between cellular motion and overall blood rheology will be investigated. Red blood cells are modelled as viscoelastic objects interacting hydrodynamically with a viscous fluid environment. The properties of the membrane, such as resistance against bending or shearing, are set to correspond to experimental values. Furthermore, thermal fluctuations are considered via random forces. Analyses corresponding to light scattering measurements are performed in order to compare to experiments and suggest for which situations this method is suitable. Static light scattering by red blood cells characterises their shape and allows comparison to objects such as spheres or cylinders, whose scattering signals have analytical solutions, in contrast to those of red blood cells. Dynamic light scattering by red blood cells is studied concerning its suitability to detect and analyse motion, deformation and membrane fluctuations. Dynamic light scattering analysis is performed for both diffusing and flowing cells. We find that scattering signals depend on various cell properties, thus allowing to distinguish different cells. The scattering of diffusing cells allows to draw conclusions on their bending rigidity via the effective diffusion coefficient. The scattering of flowing cells allows to draw conclusions on the shear rate via the scattering amplitude correlation. In flow, a RBC shows different shapes and dynamic states, depending on conditions such as confinement, physiological/pathological state and cell age. Here, two essential flow conditions are studied: simple shear flow and tube flow. Simple shear flow as a basic flow condition is part of any more complex flow. The velocity profile is linear and shear stress is homogeneous. In simple shear flow, we find a sequence of different cell shapes by increasing the shear rate. With increasing shear rate, we find rolling cells with cup shapes, trilobe shapes and quadrulobe shapes. This agrees with recent experiments. Furthermore, the impact of the initial orientation on the dynamics is studied. To study crowding and collective effects, systems with higher haematocrit are set up. Tube flow is an idealised model for the flow through cylindric microvessels. Without cell, a parabolic flow profile prevails. A single red blood cell is placed into the tube and subject to a Poiseuille profile. In tube flow, we find different cell shapes and dynamics depending on confinement, shear rate and cell properties. For strong confinements and high shear rates, we find parachute-like shapes. Although not perfectly symmetric, they are adjusted to the flow profile and maintain a stationary shape and orientation. For weak confinements and low shear rates, we find tumbling slippers that rotate and moderately change their shape. For weak confinements and high shear rates, we find tank-treading slippers that oscillate in a limited range of inclination angles and strongly change their shape. For the lowest shear rates, we find cells performing a snaking motion. Due to cell properties and resultant deformations, all shapes differ from hitherto descriptions, such as steady tank-treading or symmetric parachutes. We introduce phase diagrams to identify flow regimes for the different shapes and dynamics. Changing cell properties, the regime borders in the phase diagrams change. In both flow types, both the viscosity contrast and the choice of stress-free shape are important. For in vitro experiments, the solvent viscosity has often been higher than the cytosol viscosity, leading to a different pattern of dynamics, such as steady tank-treading. The stress-free state of a RBC, which is the state at zero shear stress, is still controversial, and computer simulations enable direct comparisons of possible candidates in equivalent flow conditions.

Entwicklung von neuen Radiomarkierungsverfahren und deren Anwendung zur Synthese von Radiotracern für die Positronen-Emissions-Tomographie

In den letzten 30 Jahren hat sich die Positronen Emissions Tomographie (PET) zu einem der wichtigsten Instrumente in der klinischen Diagnostik entwickelt. Neben den ständigen technischen Verbesserungen verdankt die PET ihren klinischen Stellenwert vor allem dem ihr inhärenten Potenzial, physiologische und biochemische Prozesse auf molekularer Ebene und in Echtzeit darzustellen. Aufgrund der wachsenden Zahl neuer und krankheitsspezifischer Radiotracer nimmt sie auch auf dem Gebiet der Wirkstoffentwicklung sowie beim Monitoring von pharmakologischen Interventionen eine immer wichtigere Rolle ein. Grundlegend hierfür ist einerseits das intelligente Design innovativer und selektiver molekularer Sonden mit der Fähigkeit zur Visualisierung molekularer Targets, die in physiologischen und pathophysiologischen Prozessen involviert sind und andererseits die Entwicklung der dafür notwendigen fortschrittlichen Markierungsstrategien. Letzteres ist zentraler Bestandteil der radiochemischen Grundlagenforschung und Hauptgegenstand dieser kumulativen Promotionsarbeit, in dessen Rahmen ein neues „minimalistisches“ Protokoll zur Radiofluorierung ausgearbeitet wurde. Die Entwicklung der sog. „minimalistische“ Methode ermöglicht eine vereinfachte und zeitsparende Herstellung von unterschiedlichsten 18F-markierten Verbindungen, da sie weder der azeotropen Trocknung noch des Zusatzes einer Base oder anderer Additive bedarf. Das neue Radiomarkierungsverfahren umfasst eine direkte Elution von 18F- mittels alkoholischer Lösung der Ammonium-, Diaryliodonium- oder Triarylsulfoniumsalz Vorläufern. Nach Entfernung des Alkohols wird das resultierende [18F]Fluoridsalz in einem geeigneten Lösungsmittel erhitzt. Die hohe Effizienz der auf der „minimalistischen“ Methode basierenden Synthese bietet somit auch einen schnellen Zugang zu 18F-markierten Fluorbenzaldehyden ([18F]FBAs) in großen Aktivitätsmengen, was einen entscheidenden Vorteil für die Entwicklung neuer Markierungsmethoden mit Hilfe dieses Radiomarkierungsbausteins darstellt. Darauf aufbauend wurde, ausgehend von [18F]FBA, auf der Basis der Seyferth-Gilbert Homologisierung, ein innovatives Verfahren zur Synthese von bisher unbekannten 18F-markierten Fluorarylacetylenen entwickelt. Hierdurch konnten über Cycloadditions- und Kreuzkupplungsreaktionen unterschiedliche radiomarkierte Modellverbindungen sowie PET-Tracer hergestellt und somit die Vielseitigkeit der neuen radiomarkierten Synthone aufgezeigt werden. Die durch die „minimalistische“ Methode gesteigerte Effizienz der Synthese von [18F]FBA ermöglicht es ebenfalls, den bereits in der Literatur bekannten Markierungsbaustein C-(4-[18F]Fluorphenyl)-N-phenylnitron [18F]FPPN in ausreichenden Mengen zu produzieren und für die zielgerichtete Synthese diverser radiofluorierter -Lactame über die Kinugasa-Reaktion einzusetzen. Mit dem Erhalt der radiofluorierten β-Lactam-Peptid und -Protein-Konjugate in hohen radiochemischen Ausbeuten unter sehr milden Bedingungen, konnte die Eignung der Kinugasa-Reaktion als neues und leistungsstarkes Radiofluorierungsverfahren eindrucksvoll demonstriert werden. 

Optimizing immobilized cultivation of Haematococcus pluvialis for astaxanthin production

Die Produktion von Astaxanthin mittels Haematococcus pluvialis ist eines der wichtigsten Fachgebiete der Mikroalgen Biotechnologie. Kommerzielles Interesse ist zurückzuführen auf dessen Anwendungen als Pigment in der Tierzucht und neuerdings auch im Bereich des Gesundheitswesens, begründet auf seiner starken anti-oxidativen Wirkung. Allerdings begrenzen die Herausforderungen in der industriellen Produktion von H. pluvialis, in Bezug auf den Metabolismus der Alge wie gleichermaßen auch die Kultivierungsstrategie, immer noch den Markt für natürliches Astaxanthin. Die derzeit gängigen Kultivationstechnologien basieren auf Suspensionssystemen, welche weitgehende Nachteile mit sich führen, wie hoher Wasser-, Energie und Technikaufwand. Diese Probleme können durch die Anwendung einer immobilisierten Kultivation vermieden werden, weshalb diesem Verfahren immer mehr Aufmerksamkeit zu Teil wird. In dieser Arbeit wurde H. pluvialis als immobilisierte Kultur in einem Twin-Layer PSBR verwendet. Insgesamt wurden 26 verschiedene Arten von H. pluvialis gefunden, die als Biofilm wachsen und Astaxanthin produzieren konnten, wobei der Stamm CCAC 0125 zur weiteren Optimierung des Prozesses ausgewählt wurde. Biomasse und Astaxanthin Produktion stiegen zunehmenden in Abhängigkeit zu der Lichtintensität, bis einschließlich 1,015 µmol Photonen m-2 s-1, ohne Anzeichen von Photoinhibition. Maximale Biomasse Produktivität von 19.4 g m-2 d-1 wurde unter starken Lichtverhältnissen verzeichnet. Nährstofflimitierungen und Salinität unterstützen die Astaxanthin Produktion hinderten allerdings das Wachstum der Biomasse. Nichtdestotrotz, wurde die höchste Astaxanthin Produktivität von 0.507 g m-2 d-1 mit einem Biomasseanteil von 3.5% in der Trockenmasse durch starke Belichtung sowie Stickstoff- und Phosphatmangel erreicht. Diese Ergebnisse bestärken die Verwendung der immobilisierten Kultivation von H. pluvialis als Alternative zu den derzeitigen Technologien. Die Verknüpfung von hoher Biomasse mit der Produktion von Astaxanthin bei starkem Lichtintensitäten wurde nur durch die Anordnung in einem Biofilm ermöglicht. Es kann einen Durchbruch in der kommerziellen Herstellung von H. pluvialis darstellen, da hierbei das Vorziehen der Kulturen bei geringen Licht entfällt, was wiederum den derzeit verwendeten komplexen Zwei-Stufen Prozess stark vereinfacht.

Eine quantitative Forschungssynthese zum Einfluss der Frauenerwerbstätigkeit auf die Beziehungsstabilität. Senkt Einkommen aus Frauenerwerbstätigkeit die Ehe-/Paarstabilität?

To be announced...

Paläobiogeographische Aspekte am Beispiel der Inklusen des Baltischen Bernsteins unter besonderer Berücksichtigung der Steinfliegen (Insecta: Plecoptera) und ein Unterrichtsentwurf zum Thema Baltischer Bernstein und seine Inklusen für den Biologieunterricht verschiedener Schulstufen

Der erste Teil der Dissertation befasst sich mit einem Forschungsprojekt zum Thema Paläobiogeographie der Steinfliegen des Baltischen Bernsteins. Nach einer Untersuchung von über 200 Steinfliegeninklusen des 40-50 Millionen Jahre alten Baltischen Bernsteins konnten vier Neubeschreibungen zu den bisher existierenden 14 hinzugefügt werden. Bei einem Vergleich der Verbreitungshistorie rezenter Gattungen wurden auf der Basis des Aktualitätsprinzips mögliche Verbreitungsrouten der Steinfliegengattungen des Baltischen Bernsteins über die kreidezeitliche Bering Landbrücke aufgestellt. Ausgewählte Aspekte des Forschungsprojekts stellten im zweiten, didaktischen Teil der Dissertation die Basis eines für die Mittelstufe entwickelten Projektes zum Thema Bernstein und seine Inklusen dar. Das Bernsteinprojekt wurde am zdi-Schülerlabor der Universität zu Köln mit mehrern Schulklassen durchgeführt und auf der Basis der im Vorfeld formulierten Forschungsfragen formativ evaluiert.

Auswirkungen von Traumata auf Entstehung und Verlauf von somatoformen Beschwerden sowie die Wirksamkeit von psychodynamischer Psychotherapie bei dieser Patientengruppe

Zusammenhänge zwischen Trauma und Somatisierung wurden empirisch vielfach belegt. Zur Erklärung des Zusammenhangs bestehen verschiedene Theorien, u.a. die der unterbrochenen Handlung (Fischer, 2000, 2007), der unterbrochenen Informationsverarbeitung (Bering, 2011), der Dissoziation (Nijenhuis, 2004) und der Alexithymie (Krystal, 1979). Unklar ist, welche Art der Therapie traumatisierten, somatisierenden Patienten hilft, da die Psychosomatik als Outcome in der Traumatherapieforschung bislang häufig vernachlässigt wurde. In der vorliegenden Promotion wurde der Zusammenhang von Trauma und somatoformen Beschwerden sowie die Wirksamkeit psychodynamischer Psychotherapie bei dieser Patientengruppe untersucht. Hierzu wurde eine klinische, naturalistische Längsschnittstudie mit Prätest-Posttest-Design an einer Stichprobe ambulanter Psychotherapiepatienten durchgeführt. Die Ergebnisse (N = 248) zeigen, dass zwei Drittel der Somatisierungsvarianz mittels Traumata (insbesondere vor dem 6. Lj.), posttraumatischer und dissoziativer Symptomatik aufgeklärt werden können. Physische und sexuelle Gewalt sind die Subformen, die die stärksten Zusammenhänge mit Somatisierung aufweisen. Der Zusammenhang zwischen traumatischen Ereignissen und Somatisierung wird insbesondere durch PTBS-Symptomatik moderiert und durch Dissoziation partiell mediiert. Die längsschnittlichen Ergebnisse (n = 83) zeigen, dass nach psychodynamischer Psychotherapie (durchschnittlich 79 Std.) moderate bis große Effekte bezüglich der Verbesserung des Funktionsniveaus, der Reduktion der posttraumatischen, alexithymen, allgemeinpsychopathologischen, somatoformen und dissoziativen Symptome vorliegen. Entgegen der Hypothese liegt keine signifikante Veränderung der Inanspruchnahme des Gesundheitssystems vor. Negative Prädiktoren des Therapieverlaufs im Hinblick auf die Somatisierung sind Traumata (insbesondere vor dem 6. Lj.) sowie tendenziell starke Dissoziation und Alexithymie zu Therapiebeginn. Die Therapiedosis erweist sich als positiver, jedoch nicht signifikanter Prädiktor des Therapieerfolgs. Die Ergebnisse zeigen, dass somatoforme Symptome als Folge von Traumatisierung eher die Regel als die Ausnahme darstellen und durch Traumatherapie beeinflusst werden können. Sie verweisen zudem auf die Relevanz der Psychosomatik als Outcome in der Traumatherapieforschung. Zu diskutierende Limitationen der Untersuchung sind die reduzierte interne Validität des Feldstudiendesigns, das Fehlen einer Kontrollgruppe, die Auswahl der Outcome-Variablen inklusive des weitgehenden Fehlens multimodaler Bewertungen.

Convective Cold Pools over the Atlas Mountains and Their Influence on the Saharan Heat Low

The West African Monsoon (WAM) and its representation in numerical models are strongly influenced by the Saharan Heat Low (SHL), a low-pressure system driven by radiative heating over the central Sahara and ventilated by the cold and moist inflow from adjacent oceans. It has recently been shown that a significant part of the southerly moisture flux into the SHL originates from convective cold pools over the Sahel. These density currents driven by evaporation of rain are largely absent in models with parameterized convection. This crucial issue has been hypothesized to contribute to the inability of many climate models to reproduce the variability of the WAM. Here, the role of convective cold pools approaching the SHL from the Atlas Mountains, which are a strong orographic trigger for deep convection in Northwest Africa, is analyzed. Knowledge about the frequency of these events, as well as their impact on large-scale dynamics, is required to understand their contribution to the variability of the SHL and to known model uncertainties. The first aspect is addressed through the development of an objective and automated method for the generation of multi-year climatologies not available before. The algorithm combines freely available standard surface observations with satellite microwave data. Representativeness of stations and influence of their spatial density are addressed by comparison to a satellite-only climatology. Applying this algorithm to data from automated weather stations and manned synoptic stations in and south of the Atlas Mountains reveals the frequent occurrence. On the order of 6 events per month are detected from May to September when the SHL is in its northernmost position. The events tend to cluster into several-days long convectively active periods, often with strong events on consecutive days. This study is the first to diagnose dynamical impacts of such periods on the SHL, based on simulations of two example cases using the Weather Research and Forecast (WRF) model at convection-permitting resolution. Sensitivity experiments with artificially removed cold pools as well as different resolutions and parameterizations are conducted. Results indicate increases in surface pressure of more than 1 hPa and significant moisture transports into the desert over several days. This moisture affects radiative heating and thus the energy balance of the SHL. Even though cold pool events north of the SHL are less frequent when compared to their Sahelian counterparts, it is shown that they gain importance due to their temporal clustering on synoptic timescale. Together with studies focusing on the Sahel, this work emphasizes the need for improved parameterization schemes for deep convection in order to produce more reliable climate projections for the WAM.

(Quantum-) critical dynamics of magnetoelectric materials

In this thesis the critical dynamics of several magnetoelectric compounds at their phase transition were examined. Mostly measurements of the dielectric properties in the frequency range of below 1 Hz up to 5 GHz were employed to evaluate the critical exponents for both magnetic field and temperature-dependent measurements. Most of the materials that are part of this work show anomalous behavior, especially at very low temperatures where quantum fluctuations are of the order of or even dominate those induced thermally. This anomalous behavior manifests in different forms. In Dy2Ti2O7 we demonstrate the existence of electric dipoles on magnetic monopoles. Here the dynamics at the critical endpoint located at 0.36K and in a magnetic field of 1T parallel to the [111] direction are of special interest. At this critical endpoint the expected critical slowing down of the dynamics could not only not be observed but instead the opposite, critical speeding-up by several orders of magnitude, could be demonstrated. Furthermore, we show that the phase diagram of Dy2Ti2O7 in this field direction can be reproduced solely from the dynamical properties, for example the resonance frequency of the observed relaxation that is connected to the monopole movement. Away from this point of the phase diagram the dynamics are slowing-down with reduction of temperature as one would expect. Additional measurements on Y2Ti2O7, a structurally identical but non-magnetic material, show only slowing down with reduction of temperature and no additional features. A possible explanation for the observed critical speeding-up is a coherent movement of magnetic monopoles close to the critical field that increases the resonance frequency by reducing the damping of the process. LiCuVO4 on the other hand behaves normally at its phase transition as long as the temperature is higher than 0.4 K. In this temperature regime the dynamics show critical slowing-down analogous to classical ferroelectric materials. This analogy extends also towards higher frequencies where the permittivity displays a ‘dispersion’ minimum that is temperature-dependent but of the order of 2 GHz. Below 0.4K the observed behavior changes drastically. Here we found no longer relaxational behavior but instead an excitation with very low energy. This low energy excitation was predicted by theory and is caused by nearly gapless soliton excitations within the 1D Cu2+ chains of LiCuVO4. Finally, in TbMnO3 the dynamics of the phase transition into the multiferroic phase was observed at roughly 27 K, a much higher temperature compared to the other materials. Here the expected critical slowing-down was observed, even though in low-frequency measurements this transition into the ferroelectric phase is overshadowed by the so-called c-axis relaxation. Therefore, only frequencies above 1MHz could be used to determine the critical exponents for both temperatureand magnetic-field-dependent measurements. This was done for both the peak frequency as well as the relaxation strength. In TbMnO3 an electromagnetic soft-mode with small optical weight causes the observed fluctuations, similar to the case of multiferroic MnWO4.

Empirical Essays on Fiscal Federalism

This dissertation contains four empirical papers on fiscal federalism. It puts established economic principles and tools in the federal context by employing data on German municipalities.

Thermodynamics and Heat Transport of doped Spin-Ice Materials

In this thesis the low-temperature magnetism of the spin-ice systems Dy2Ti2O7 and Ho2Ti2O7 is investigated. In general, a clear experimental evidence for a sizable magnetic contribution kappa_{mag} to the low-temperature, zero-field heat transport of both spin-ice materials is observed. This kappa_{mag} can be attributed to the magnetic monopole excitations, which are highly mobile in zero field and are suppressed by a rather small external field resulting in a drop of kappa(H). Towards higher magnetic fields, significant field dependencies of the phononic heat conductivities kappa_{ph}(H) of Ho2Ti2O7 and Dy2Ti2O7 are found, which are, however, of opposite signs, as it is also found for the highly dilute reference materials (Ho0.5Y0.5)2Ti2O7 and (Dy0.5Y0.5)2Ti2O7. The dominant effect in the Ho-based materials is the scattering of phonons by spin flips which appears to be significantly stronger than in the Dy-based materials. Here, the thermal conductivity is suppressed due to enhanced lattice distortions observed in the magnetostriction. Furthermore, the thermal conductivity of Dy2Ti2O7 has been investigated concerning strong hysteresis effects and slow-relaxation processes towards equilibrium states in the low-temperature and low-field regime. The thermal conductivity in the hysteretic regions slowly relaxes towards larger values suggesting that there is an additional suppression of the heat transport by disorder in the non-equilibrium states. The equilibration can even be governed by the heat current for particular configurations. A special focus was put on the dilution series Dy2Ti2O7x. From specific heat measurements, it was found that the ultra-slow thermal equilibration in pure spin ice Dy2Ti2O7 is rapidly suppressed upon dilution with non-magnetic yttrium and vanishes completely for x>=0.2 down to the lowest accessible temperatures. In general, the low-temperature entropy of (Dy1-xYx)2Ti2O7, considerably decreases with increasing x, whereas its temperature-dependence drastically increases. Thus, it could be clarified that there is no experimental evidence for a finite zero-temperature entropy in (Dy1-xYx)2Ti2O7 above x>=0.2, in clear contrast to the finite residual entropy S_{P}(x) expected from a generalized Pauling approximation. A similar discrepancy is also present between S_{P}(x) and the low-temperature entropy obtained by Monte Carlo simulations, which reproduce the experimental data from 25 K down to 0.7 K, whereas the data at 0.4 K are overestimated. A straightforward description of the field-dependence kappa(H) of the dilution series with qualitative models justifies the extraction of kappa_{mag}. It was observed that kappa_{mag} systematically scales with the degree of dilution and its low-field decrease is related to the monopole excitation energy. The diffusion coefficient D_{mag} for the monopole excitations was calculated by means of c_{mag} and kappa_{mag}. It exhibits a broad maximum around 1.6 K and is suppressed for T<=0.5 K, indicating a non-degenerate ground state in the long-time limit, and in the high-temperature range for T>=4 K where spin-ice physics is eliminated. A mean-free path of 0.3 mum is obtained for Dy2Ti2O7 at about 1 K within the kinetic gas theory.

Phylum-wide transcriptome analysis of oogenesis and early embryogenesis in selected nematode species

Oogenesis is a prerequisite for embryogenesis in Metazoa. During both biological processes important decisions must be made to form the embryo and hence ensure the next generation: (1) Maternal gene products (mRNAs, proteins and nutrients) must be supplied to the embryo. (2) Polarity must be established and axes must be specified. While incorporation of maternal gene products occurs during oogenesis, the time point of polarity establishment and axis specification varies among species, as it is accomplished either prior, during, or after fertilisation. But not only the time point when these events take place varies among species but also the underlying mechanisms by which they are triggered. For the nematode model Caenorhabditis elegans the underlying pathways and gene regulatory networks (GRNs) are well understood. It is known that there the sperm entry point initiates a primary polarity in the 1-celled egg and with it the establishment of the anteroposterior axis. However, studies of other nematodes demonstrated that polarity establishment can be independent of sperm entry (Goldstein et al., 1998; Lahl et al., 2006) and that cleavage patterns, symmetry formation and cell specification also differ from C. elegans. In contrast to the studied Chromadorea (more derived nematodes including C. elegans), embryos of some marine Enoplea (more basal representatives) even show no discernible early polarity and blastomeres can adopt variable cell fates (Voronov and Panchin 1998). The underlying pathways controlling the obviously variant embryonic processes in non-Caenorhabditis nematodes are essentially unknown. In this thesis I addressed this issue by performing a detailed unbiased comparative transcriptome analysis based on microarrays and RNA sequencing of selected developmental stages in a variety of nematodes from different phylogenetic branches with C. elegans as a reference system and a nematomorph as an outgroup representative. In addition, I made use of available genomic data to determine the presence or absence of genes for which no expression had been detected. In particular, I focussed on components of selected pathways or GRNs which are known to play essential roles during C. elegans development and/or other invertebrate or vertebrate model systems. Oogenesis must be regulated differently in non-Caenorhabditis nematodes, as crucial controlling components of Wnt and sex determination signaling are absent in these species. In this respect, I identified female-specific expression of potential polarity associated genes during gonad development and oogenesis in the Enoplean nematode Romanomermis culicivorax. I could show that known downstream components of the polarity complexes PAR-3/-6/PKC-3 and PAR-1/-2 are absent in non-Caenorhabditis species. Even PAR-2 as part of the polarity complex does not exist in these nematodes. Instead, transcriptomes of nematodes (including C. elegans), show expression of other polarity-associated complexes such as the Lgl (Lethal giant larvae) complex. This result could pose an alternative route for nematodes and nematomorphs to initiate polarity during early embryogenesis. I could show that crucial pathways of axis specification, such as Wnt and BMP are very different in C. elegans compared to other nematodes. In the former, Wnt signaling, for instance, is mediated by four paralogous beta-catenins, while other Chromadorea have fewer and Enoplea only one beta-catenin. The transcriptomes of R. culicivorax and the nematomorph show that regulators of BMP (e.g. Chordin), are specifically expressed during early embryogenesis only in Enoplea and the close outgroup of nematomorphs. In conclusion, my results demonstrate that the molecular machinery controlling oogenesis and embryogenesis in nematodes is unexpectedly variable and C. elegans cannot be taken as a general model for nematode development. Under this perspective, Enoplean nematodes show more similarities with outgroups than with C. elegans. It appears that certain pathway components were lost or gained during evolution and others adopted new functions. Based on my findings I can conjecture, which pathway components may be ancestral and which were newly acquired in the course of nematode evolution.

Neutron Scattering Studies on Complex Magnetic Structures in Magnetoelectric Materials

In this thesis, the magnetic properties of four transition-metal oxides are presented. Their multiferroic and magnetoelectric phases have been investigated by means of different neutron scattering techniques. The materials TbMnO3 and MnWO4 belong to the group of spin-induced multiferroics. Their ferroelectric polarization can be explained by the inverse DzyaloshinskiiMoriya interaction. Another common feature of both materials is the presence of subsequent magnetic transitions from a spin-density wave to a spin spiral. The features of the phase transitions have been studied in both materials and it could be shown that diffuse magnetic scattering from the spin spiral is present even in the ordered spin-density wave phase. The excitation spectrum in the multiferroic phase of TbMnO3 was investigated in detail and a comprehensive dataset was obtained using time-of-flight spectroscopy. A spin-wave model could be obtained which can quantitatively describe the full dispersion. Furthermore, the polarization of the zone-center excitations could be derived which fit well to data from inelastic neutron spectroscopy and infrared spectroscopy. With the combination of spherical neutron polarimetry and a poling of the sample by an electric field, it was possible to observe the chiral magnetic component of the magnetic excitations in TbMnO3 and MnWO4. The spin-wave model for TbMnO3 obtained in this thesis is able to correctly describe the dispersion of this component. The double tungstate NaFe(WO4)2 is isostructural to the multiferroic MnWO4 and develops a complex magnetic phase diagram. By the use of neutron diffraction techniques, the zero-field structure and high-field structures in magnetic field applied along the b-axis could be determined. The data reveal a direct transition into an incommensurate spin-spiral structure. The value of the incommensurability is driven by anharmonic modulations and shows strong hysteresis effects. The static and dynamic properties in the magnetoelectric spin-glass phase of Ni0.42Mn0.58TiO3 were studied in detail. The spin-glass phase is composed of short-ranged MnTiO3 and NiTiO3-type order. The antiferromagnetic domains could be controlled by crossed magnetic and electric fields, which was visualized using spherical neutron polarimetry. A comprehensive dataset of the magnetic excitations in the spin-glass phase was collected. The dataset revealed correlations in the hexagonal plane which are only weakly coupled along the c-axis. The excitation spectra could be simulated by taking into account the MnTiO3-type order.

Some results on orbifold quotients and related objects

The quotient of a finite-dimensional Euclidean space by a finite linear group inherits different structures from the initial space, e.g. a topology, a metric and a piecewise linear structure. The question when such a quotient is a manifold leads to the study of finite groups generated by reflections and rotations, i.e. by orthogonal transformations whose fixed point subspace has codimension one or two. We classify such groups and thereby complete earlier results by M. A. Mikhaîlova from the 70s and 80s. Moreover, we show that a finite group is generated by reflections and) rotations if and only if the corresponding quotient is a Lipschitz-, or equivalently, a piecewise linear manifold (with boundary). For the proof of this statement we show in addition that each piecewise linear manifold of dimension up to four on which a finite group acts by piecewise linear homeomorphisms admits a compatible smooth structure with respect to which the group acts smoothly. This solves a challenge by Thurston and confirms a conjecture by Kwasik and Lee. In the topological category a counterexample to the above mentioned characterization is given by the binary icosahedral group. We show that this is the only counterexample up to products. In particular, we answer the question by Davis of when the underlying space of an orbifold is a topological manifold. As a corollary of our results we generalize a fixed point theorem by Steinberg on unitary reflection groups to finite groups generated by reflections and rotations. As an application thereof we answer a question by Petrunin on quotients of spheres.

State-Selective Attachment of Helium to Molecular Ions in a New Cryogenic Ion Trap

Light is the main information about the interstellar medium accessible on Earth. Based on this information one can conclude on the composition of the region where the light originates from, as well as on its history. The requirement for this is that it is possible to identify the different absorption and emission features in the spectrum and assign them to certain molecules, atoms or ions. To enable the identification of the different species, precise spectroscopic investigations of the species in the laboratory are necessary. In this work a new spectroscopic method is presented, which can be used to record pure rotational spectra of mass selected, cold, stored molecular ions. It is based on the idea of state specific attachment of helium atoms to the stored molecular ions. The new technique has been made possible through the development and recent completion of two new 22-pole ion trap instruments in the work group of Laboratory Astrophysics at the University of Cologne. These new instruments have the advantage to reach temperatures as low as 4K compared to the 10K of the predecessor instrument. These low temperatures enable the ternary attachment of helium atoms to the stored molecular ions and by this make it possible to develop this new method for pure rotational spectroscopy. According to this, this work is divided into two parts. The first part deals with the new FELion experiment that was build and characterized in the first part of the thesis. FELion is a cryogenic 22-pole ion trap apparatus, allowing to generate, mass select, store and cool down, and analyze molecular ions. The different components of the instrument, e.g. the Storage Ion Source for generating the ions or the first quadrupole mass filter, are described and characterized in this part. Besides this also the newly developed control and data acquisitions system is introduced. With this instrument the measurements presented in the second part of the work were performed. The second part deals with the new action spectroscopic method of state-selective helium attachment to the stored molecular ions. For a deeper analysis of the new technique the systems of CD+ and helium and HCO+ and helium are investigated in detail. Analytical and numerical models of the process are presented and compared to experimental results. The results of these investigations point to a seemingly very general applicability of the new method to a wide class of molecular ions. In the final part of the thesis measurements of the rotational spectrum of l-C3H+ are presented. These measurements have to be high-lighted, since it was possible for the first time in the laboratory to unambiguously measure four low-lying rotational transitions of l-C3H+. These measurements (Brünken et al. ApJL 783, L4 (2014)) enabled the reliable identification of so far unidentified emision lines observed in several regions of the interstellar medium (Pety et al. Astron. Astrophys. 548, A68 (2012), McGuire et al. The Astrophysical Journal 774, 56 (2013) and McGuire et al. The Astrophysical Journal 783, 36 (2014)).