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This thesis describes investigations of metal clusters stored in an ion-cyclotron resonance (ICR) trap, as well as corresponding trap research and development. Charged clusters are produced and investigated in the experimental setup Cluster-Trap, comprising a cluster-ion source, an ICR trap and a time-of-flight (ToF) mass spectrometer. In the framework of its move to the new building of the Institute of Physics, new components have been added to the ClusterTrap setup. A radio-frequency ion trap is now used for cluster ion preparation prior to the performance of cluster experiments in the ICR trap. A quadrupole ion deflector allows an optimized usage of the ICR trap, as well as simultaneous use of several ion sources and detectors. The implementation of a potential lift at the ToF mass spectrometer enables a more flexible operation of the setup with ion energies up to several hundreds of electron volts. The new components have been tested and characterized, and the experimental procedures have been adapted. An important aspect of cluster investigations is the manipulation of trapped ions by application of appropriate excitation fields. For the ICR trap, a vector representation model has been developed for quick analysis of radial excitation fields, applied to the quarter-segmented ring electrode of an ICR trap. Its application has been demonstrated for asymmetric radial quadrupolar excitation of stored cluster ions, confirming the observation of unintended ion ejection from the trap. Investigation of multiply negatively charged metal clusters at ClusterTrap has been continued. By the "electron-bath" technique, i.e. simultaneous storage of cluster mono-anions and electrons in the ICR trap, high charge states are produced up to a limit which arises from restrictions for ion trapping. A modification of the electron bath, which bypasses this limit, has been introduced and demonstrated by the first-time production and detection of aluminum cluster anions carrying five excess electrons (penta-anions). Results of the penta-anion production as a function of the trapping voltage relate to the Coulomb potentials of the cluster anions involved, in agreement with previous findings. The observed poly-anionic clusters are meta-stable and their abundance as a function of the cluster size is determined by their lifetimes. Observed poly-anion abundances are described by a thermionic-emission approach, by means of the Richardson-Dushman formula. The height of the Coulomb potential in the formula is decreased to match experimental data, thus accounting for electron tunneling. Poly-anions are observed only above a minimum cluster size, the appearance size. To determine this limit from experimental results, a new data evaluation method has been introduced, which considers the poly-anion lifetimes and respective abundances of a range of cluster sizes. As a result, the experimental appearance size is larger than the smallest poly-anionic cluster observed, in contrast to previous approaches.
Accelerated drug release tests are essential for quality control (QC) of long acting (non-oral) controlled release formulations. Real-time release experiments are usually required for product development, to understand the mechanism of release and to establish a correlation with in vivo release. Ideally, the accelerated test should maintain the biorelevant aspect of the in vitro method and the mechanism of release should not change under accelerated test conditions. At the same time adequate discriminatory ability is a prerequisite as the accelerated test should be able to discriminate between batches with respect to manufacturing variables that can impact on bioavailability. The objective of this thesis was to develop accelerated drug release tests for intravaginal rings (IVRs) and to gain a mechanistic understanding of the principles that facilitate in vitro drug release under accelerated test conditions. A detailed evaluation of the in vitro release characteristics of the formulations under real-time test conditions was considered as a prerequisite for developing predictive accelerated tests. Two formulations were subject of this study, in which the mechanism of release is primarily governed by drug diffusion. One formulation was the commercially available Nuvaring®, a combined hormonal contraceptive IVR that releases etonogestrel and ethinylestradiol with a constant rate over a duration of 3 weeks. The second formulation was a prototype of an investigational IVR that is supposed to be bioequivalent to the marketed formulation. The Nuvaring® provides an example of a reservoir system in which a membrane mediates diffusion, resulting in release rates that are almost constant with time, whereas the investigational IVR is a matrix-type IVR. In these devices drug release is driven by Fickian diffusion through a homogeneous matrix and decays with time. Both IVRs are based on different grades of polyethylene vinyl acetate (PEVA). Accelerated drug release tests were performed at elevated temperature and in hydro-organic solvents since these two parameters were expected to increase drug diffusion through the semicrystalline EVA copolymer. Release experiments with IVRs or endcapped segments were performed in an incubator shaker. The devices were placed in stoppered flasks containing an adequate release medium that was continuously shaken and completely replaced at predetermined time points. Release experiments with endcapped segments were also performed in a small volume version of UPS apparatus 7 (the Reciprocating Holder). Results from release experiments in these two setups were in general comparable when the release from segments was standardized to release per ring with respect to the mass ratio (segment/IVR). Real-time drug release in an aqueous release medium at a temperature of 37 °C from the Nuvaring® was slightly affected by variations in the in vitro test conditions, i.e. media volume and composition (addition of solubility enhancing agents). These variations, however, did not affect the release kinetics that continued to be zero-order with exception of the initial burst. In contrast, real-time drug release from the matrix IVR was affected by the steroid solubility in the release medium, increased with increasing media volume and reached a maximum in release media containing solubility enhancing agents, resulting in distinct release kinetics. Interestingly the steroid solubility had a distinct influence on the release rate under conditions that are commonly assumed to provide sink conditions. Even under experimental conditions that provided minimum drug solubility, the concentration of ethinylestradiol in the receptor medium never exceeded 3 % of the saturation solubility. Accelerated drug release from both IVRs could be observed after exposure to elevated temperature and/or hydro-organic release media. Overall, increased drug release in different hydro-organic media correlated with polymer swelling. The higher swelling capacity of the investigational IVR, when compared with the Nuvaring®, was accounted for a stronger degree of acceleration in different hydro-organic release media. These observations were in agreement with literature sources that report that swelling as well as diffusivity in EVA copolymers increases with increasing VA content, which is lower in the rate-controlling membrane of the Nuvaring®. For the investigational IVR a good correlation between accelerated and real-time release profiles could be obtained if changes in steroid solubility under accelerated conditions were taken into consideration. For example, a good correlation could be observed between accelerated release profiles in hydro-organic media and real-time release profiles in media containing surfactants that provide maximum drug solubility and thus eliminate boundary layer effects. This observation appears reasonable since hydro-alcoholic release media also enhance steroid solubility in the receptor compartment. In case of the Nuvaring® variations in the in vitro test parameters under real-time test conditions did not affect the release kinetics. For this IVR, the mechanism of release was maintained in hydro-organic release media and at elevated temperature. The quantitative relationship between the zero-order release constants and the test temperature could be described by the Arrhenius equation, indicating that accelerated release is governed by an increase in drug diffusion. Validation of the accelerated method with a prototype of the investigational IVR with a different drug load demonstrated that the accelerated methods were able to detect formulation changes with similar discriminatory ability as the real-time test. However, the temperature-controlled accelerated method was less sensitive to detect changes in the release characteristics of a Nuvaring® that have been induced by preliminary heat-treatment, indicating that the accelerated method may be less sensitive to detect changes in IVRs that are a result of physical aging. When the aim is to develop an accelerated method for batch release it is therefore crucial to validate the accelerated method with appropriate samples from non-conforming batches that are out of specification under real-time test conditions and have been obtained by small but deliberate variations in the critical process parameters. In both formulations the degree of acceleration could be further increased by combining the effect of hydro-organic release media with an increase in temperature. Under these test conditions the ability to differentiate between the different prototypes of the investigational IVR was maintained. Moreover, in both IVRs the mechanism of release was not affected by an additional increase in temperature when compared with release profiles in hydro-organic solvents. In conclusion, the results of this study indicate that both temperature and hydro-organic release media are valid parameters to accelerate drug release from delivery systems in which the mechanism of release is primarily governed by diffusion through dense (inert) polymer matrices (i.e. inserts, implants). A correlation between real time and accelerated release will be facilitated if drug release under real-time test conditions is independent of the test parameters. To assure the outcome of the test with respect to quality and safety it is crucial to validate the accelerated method with appropriate batches.
Objectives: To investigate the co-occurrence of 4 behavioral health risk factors (BHRFs), namely tobacco smoking, alcohol at-risk drinking, physical inactivity and unhealthy diet and their association with sick days prior to hospitalization in general hospital patients.
Methods: Over 10 weeks (11/2020-04/2021), all 18-64-year-old patients admitted to internal medicine, general and trauma surgery, and otorhinolaryngology wards of a tertiary care hospital were systematically approached. Among 355 eligible patients, 278 (78.3%) participated, and 256 (72.1%) were analyzed. Three BHRF sum scores were determined, including current tobacco smoking, alcohol use, physical inactivity and 1 of 3 indicators of unhealthy diet. Associations between BHRF sum scores and sick days in the past 6 months were analyzed using multivariate zero-inflated negative binomial regressions.
Results: Sixty-two percent reported multiple BHRFs (≥2). The BHRF sum score was related to the number of sick days if any (p = 0.009) with insufficient vegetable and fruit intake as diet indicator.
Conclusion: The majority of patients disclosed multiple BHRFs. These were associated with sick days prior to admission. The findings support the need to implement interventions targeting multiple BHRFs in general hospitals.
This study investigates the relations between working environment and teachers' job satisfaction, perceived work‐related stress, as well as work‐related self‐efficacy. The sample consisted of 226 mathematics teachers from German secondary schools. About 55% were female and they had been teaching for 13 years on average. We used self‐reported measures to assess how teachers perceived their working environment (regarding autonomy, feedback, and social support by colleagues), administrative leadership and teachers' work‐related self‐efficacy, as well as job satisfaction and work‐related stress. Structural equation modeling demonstrates that teachers' job satisfaction and stress were significantly associated with self‐efficacy (moderate to large effects) and an administrative leadership at the corresponding schools (small to moderate effects). The effect of social support on teachers' job satisfaction and stress was fully mediated by teachers' self‐efficacy. Our findings underscore the importance of self‐efficacy and a positive working environment for teachers' job satisfaction and stress.
The history of Mathematics has been lead in part by the desire for generalization: once an object was given and had been understood, there was the desire to find a more general version of it, to fit it into a broader framework. Noncommutative Mathematics fits into this description, as its interests are objects analoguous to vector spaces, or probability spaces, etc., but without the commonsense interpretation that those latter objects possess. Indeed, a space can be described by its points, but also and equivalently, by the set of functions on this space. This set is actually a commutative algebra, sometimes equipped with some more structure: *-algebra, C*-algebra, von Neumann algebras, Hopf algebras, etc. The idea that lies at the basis of noncommutative Mathematics is to replace such algebras by algebras that are not necessarily commutative any more and to interpret them as "algebras of functions on noncommutative spaces". Of course, these spaces do not exist independently from their defining algebras, but facts show that a lot of the results holding in (classical) probability or (classical) group theory can be extended to their noncommutative counterparts, or find therein powerful analogues. The extensions of group theory into the realm of noncommutative Mathematics has long been studied and has yielded the various quantum groups. The easiest version of them, the compact quantum groups, consist of C*-algebras equipped with a *-homomorphism &Delta with values in the tensor product of the algebra with itself and verifying some coassociativity condition. It is also required that the compact quantum group verifies what is known as quantum cancellation property. It can be shown that (classical) compact groups are indeed a particular case of compact quantum groups. The area of compact quantum groups, and of quantum groups at large, is a fruitful area of research. Nevertheless, another generalization of group theory could be envisioned, namely by taking a comultiplication &Delta taking values not in the tensor product but rather in the free product (in the category of unital *-algebras). This leads to the theory of dual groups in the sense of Voiculescu, also called H-algebras by Zhang. These objects have not been so thoroughly studied as their quantum counterparts. It is true that they are not so flexible and that we therefore do not know many examples of them and showing that some relations cannot exist in the dual group case because they do not pass the coproduct. Nevertheless, I have been interested during a great part of my PhD work by these objects and I have made some progress towards their understanding, especially regarding quantum Lévy processes defined on them and Haar states.
In der vorliegenden Studie wurde neben klinischen und histologischen Untersuchungen eine Zytokeratindarstellung sowie eine Untersuchung mit dem Proliferationsmarker MIB1 / Ki 67 durchgeführt. Dabei konnte die im Invertierten Papillom stattfindende Metaplasie anhand von Zytokeratinveränderungen charakterisiert werden. Es zeigten sich Parallelen zum chronisch-entzündlichen Polypen der Nase- und Nasen- nebenhöhlen. Mittels der MIB1-Darstellung konnte eine deutlich höhere Proliferationstendenz bei Invertierten Papillomen, die später rezidivieren, gezeigt werden. Die Untersuchungen fanden an Präparaten der Erstmanifestation der Invertierten Papillome statt. Dabei wurde die tumor proliferativ fraction (TPF) ermittelt.
Abstract
Higher biodiversity can stabilize the productivity and functioning of grassland communities when subjected to extreme climatic events. The positive biodiversity–stability relationship emerges via increased resistance and/or recovery to these events. However, invader presence might disrupt this diversity–stability relationship by altering biotic interactions. Investigating such disruptions is important given that invasion by non‐native species and extreme climatic events are expected to increase in the future due to anthropogenic pressure. Here we present one of the first multisite invader × biodiversity × drought manipulation experiment to examine combined effects of biodiversity and invasion on drought resistance and recovery at three semi‐natural grassland sites across Europe. The stability of biomass production to an extreme drought manipulation (100% rainfall reduction; BE: 88 days, BG: 85 days, DE: 76 days) was quantified in field mesocosms with a richness gradient of 1, 3, and 6 species and three invasion treatments (no invader, Lupinus polyphyllus, Senecio inaequidens). Our results suggest that biodiversity stabilized community productivity by increasing the ability of native species to recover from extreme drought events. However, invader presence turned the positive and stabilizing effects of diversity on native species recovery into a neutral relationship. This effect was independent of the two invader's own capacity to recover from an extreme drought event. In summary, we found that invader presence may disrupt how native community interactions lead to stability of ecosystems in response to extreme climatic events. Consequently, the interaction of three global change drivers, climate extremes, diversity decline, and invasive species, may exacerbate their effects on ecosystem functioning.