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Due to its bioavailability and (bio)degradability, poly(lactide) (PLA) is an interesting polymer that is already being used as packaging material, surgical seam, and drug delivery system. Dependent on various parameters such as polymer composition, amphiphilicity, sample preparation, and the enantiomeric purity of lactide, PLA in an amphiphilic block copolymer can affect the self-assembly behavior dramatically. However, sizes and shapes of aggregates have a critical effect on the interactions between biological and drug delivery systems, where the general understanding of these polymers and their ability to influence self-assembly is of significant interest in science.
The first part of this thesis describes the synthesis and study of a series of linear poly(L-lactide) (PLLA) and poly(D-lactide) (PDLA)-based amphiphilic block copolymers with varying PLA (hydrophobic), and poly(ethylene glycol) (PEG) (hydrophilic) chain lengths and different block copolymer sequences (PEG-PLA and PLA-PEG). The PEG-PLA block copolymers were synthesized by ring-opening polymerization of lactide initiated by a PEG-OH macroinitiator. In contrast, the PLA-PEG block copolymers were produced by a Steglich-esterification of modified PLA with PEG-OH.
The aqueous self-assembly at room temperature of the enantiomerically pure PLLA-based block copolymers and their stereocomplexed mixtures was investigated by dynamic light scattering (DLS), transmission electron microscopy (TEM), wide-angle X-ray diffraction (WAXD), and differential scanning calorimetry (DSC). Spherical micelles and worm-like structures were produced, whereby the obtained self-assembled morphologies were affected by the lactide weight fraction in the block copolymer and self-assembly time. The formation of worm-like structures increases with decreasing PLA-chain length and arises from spherical micelles, which become colloidally unstable and undergo an epitaxial fusion with other micelles. As shown by DSC experiments, the crystallinity of the corresponding PLA blocks increases within the self-assembly time. However, the stereocomplexed self-assembled structures behave differently from the parent polymers and result in irregular-shaped clusters of spherical micelles. Additionally, time-dependent self-assembly experiments showed a transformation, from already self-assembled morphologies of different shapes to more compact micelles upon stereocomplexation.
In the second part of this thesis, with the objective to influence the self-assembly of PLA-based block copolymers and its stereocomplexes, poly(methyl phosphonate) (PMeP) and poly(isopropyl phosphonate) (PiPrP) were produced by ring-opening polymerization to implement an alternative to the hydrophilic block PEG. Although, the 1,8 diazabicyclo[5.4.0]unde 7 ene (DBU) or 1,5,7 triazabicyclo[4.4.0]dec-5-ene (TBD) mediated synthesis of the corresponding poly(alkyl phosphonate)s was successful, however, not so the polymerization of copolymers with PLA-based precursors (PLA-homo polymers, and PEG-PLA block copolymers). Transesterification, obtained by 1H-NMR spectroscopy, between the poly(phosphonate)- and PLA block caused a high-field shifted peak split of the methine proton in the PLA polymer chain, with split intensities depending on the used catalyst (DBU for PMeP, and TBD for PiPrP polymerization). An additional prepared block copolymer PiPrP-PLLA that wasn’t affected in its polymer sequence was finally used for self-assembly experiments with PLA-PEG and PEG-PLA mixing.
This work provides a comprehensive study of the self-assembly behavior of PLA-based block copolymers influenced by various parameters such as polymer block lengths, self-assembly time, and stereocomplexation of block copolymer mixtures.
One method of embedding groups into skew fields was introduced by A. I. Mal'tsev and B. H. Neumann (cf. [18, 19]). If G is an ordered group and F is a skew field, the set F((G)) of formal power series over F in G with well-ordered support forms a skew field into which the group ring F[G] can be embedded. Unfortunately it is not suficient that G is left-ordered since F((G)) is only an F-vector space in this case as there is no natural way to define a multiplication on F((G)). One way to extend the original idea onto left-ordered groups is to examine the endomorphism ring of F((G)) as explored by N. I. Dubrovin (cf. [5, 6]). It is possible to embed any crossed product ring F[G; η, σ] into the endomorphism ring of F((G)) such that each non-zero element of F[G; η, σ] defines an automorphism of F((G)) (cf. [5, 10]). Thus, the rational closure of F[G; η, σ] in the endomorphism ring of F((G)), which we will call the Dubrovin-ring of F[G; η, σ], is a potential candidate for a skew field of fractions of F[G; η, σ]. The methods of N. I. Dubrovin allowed to show that specific classes of groups can be embedded into a skew field. For example, N. I. Dubrovin contrived some special criteria, which are applicable on the universal covering group of SL(2, R). These methods have also been explored by J. Gräter and R. P. Sperner (cf. [10]) as well as N.H. Halimi and T. Ito (cf. [11]). Furthermore, it is of interest to know if skew fields of fractions are unique. For example, left and right Ore domains have unique skew fields of fractions (cf. [2]). This is not the general case as for example the free group with 2 generators can be embedded into non-isomorphic skew fields of fractions (cf. [12]). It seems likely that Ore domains are the most general case for which unique skew fields of fractions exist. One approach to gain uniqueness is to restrict the search to skew fields of fractions with additional properties. I. Hughes has defined skew fields of fractions of crossed product rings F[G; η, σ] with locally indicable G which fulfill a special condition. These are called Hughes-free skew fields of fractions and I. Hughes has proven that they are unique if they exist [13, 14]. This thesis will connect the ideas of N. I. Dubrovin and I. Hughes. The first chapter contains the basic terminology and concepts used in this thesis. We present methods provided by N. I. Dubrovin such as the complexity of elements in rational closures and special properties of endomorphisms of the vector space of formal power series F((G)). To combine the ideas of N.I. Dubrovin and I. Hughes we introduce Conradian left-ordered groups of maximal rank and examine their connection to locally indicable groups. Furthermore we provide notations for crossed product rings, skew fields of fractions as well as Dubrovin-rings and prove some technical statements which are used in later parts. The second chapter focuses on Hughes-free skew fields of fractions and their connection to Dubrovin-rings. For that purpose we introduce series representations to interpret elements of Hughes-free skew fields of fractions as skew formal Laurent series. This 1 Introduction allows us to prove that for Conradian left-ordered groups G of maximal rank the statement "F[G; η, σ] has a Hughes-free skew field of fractions" implies "The Dubrovin ring of F [G; η, σ] is a skew field". We will also prove the reverse and apply the results to give a new prove of Theorem 1 in [13]. Furthermore we will show how to extend injective ring homomorphisms of some crossed product rings onto their Hughes-free skew fields of fractions. At last we will be able to answer the open question whether Hughes--free skew fields are strongly Hughes-free (cf. [17, page 53]).
Floral scent is an important way for plants to communicate with insects, but scent emission has been lost or strongly reduced during the transition from pollinator-mediated outbreeding to selfing. The shift from outcrossing to selfing is not only accompanied by scent loss, but also by a reduction in other pollinator-attracting traits like petal size and can be observed multiple times among angiosperms. These changes are summarized by the term selfing syndrome and represent one of the most prominent examples of convergent evolution within the plant kingdom. In this work the genus Capsella was used as a model to study convergent evolution in two closely related selfers with separate transitions to self-fertilization.
Compared to their outbreeding ancestor C. grandiflora, the emission of benzaldehyde as main compound of floral scent is lacking or strongly reduced in the selfing species C. rubella and C. orientalis. In C. rubella the loss of benzaldehyde was caused by mutations to cinnamate:CoA ligase CNL1, but the biochemical basis and evolutionary history of this loss remained unknown, together with the genetic basis of scent loss in C. orientalis. Here, a combination of plant transformations, in vitro enzyme assays, population genetics and quantitative genetics has been used to address these questions. The results indicate that CNL1 has been inactivated twice independently by point mutations in C. rubella, leading to a loss of benzaldehyde emission. Both inactivated haplotypes can be found around the Mediterranean Sea, indicating that they arose before the species´ geographical spread. This study confirmed CNL1 as a hotspot for mutations to eliminate benzaldehyde emission, as it has been suggested by previous studies. In contrast to these findings, CNL1 in C. orientalis remains active. To test whether similar mechanisms underlie the convergent evolution of scent loss in C. orientalis a QTL mapping approach was used and the results suggest that this closely related species followed a different evolutionary route to reduce floral scent, possibly reflecting that the convergent evolution of floral scent is driven by ecological rather than genetic factors.
In parallel with studying the genetic basis of repeated scent loss a method for testing the adaptive value of individual selfing syndrome traits was established. The established method allows estimating outcrossing rates with a high throughput of samples and detects successfully insect-mediated outcrossing events, providing major advantages regarding time and effort compared to other approaches. It can be applied to correlate outcrossing rates with differences in individual traits by using quasi-isogenic lines as demonstrated here or with environmental or morphological parameters.
Convergent evolution can not only be observed for scent loss in Capsella but also for the morphological evolution of petal size. Previous studies detected several QTLs underlying the petal size reduction in C. orientalis and C. rubella, some of them shared among both species. One shared QTL is PAQTL1 which might map to NUBBIN, a growth factor. To better understand the morphological evolution and genetic basis of petal size reduction, this QTL was studied. Mapping this QTL to a gene might identify another example for a hotspot gene, in this case for the convergent evolution of petal size.
Der Betrieb gewerblicher Art
(2019)
Die Arbeit untersucht die Grundlagen der Besteuerung der öffentlichen Hand, hier insbesondere die geschichtliche Entwicklung des Betriebs gewerblicher Art und die seit 2009 geltende Querverbundsystematik. Es wird die Entwicklung der einzelnen Tatbestände bis hin zur tatbestandsmäßigen Zusammenfassung einzelner Betriebe gewerblicher Art untersucht. Dabei stehen immer wieder die Wettbewerbssystematik und der steuerliche Gleichbehandlungsgrundsatz im Diskussionsmittelpunkt. Nachstehend schließt sich ein Vergleich zwischen dem horizontalen und vertikalen Querverbund an, der die grundlegenden Rechtsfolgen und die dauerdefizitären Betätigungen umfasst. Das Ergebnis zeigt auf, dass die öffentliche Hand mit ihrem wahlweisen horizontalen Querverbund und der fehlenden Gewinnerzielungsabsicht erhebliche Vorteile gegenüber privatrechtlich geführten Unternehmensformen genießt und somit erhebliches Steuersparpotential generiert.
The individual’s mental lexicon comprises all known words as well related infor-mation on semantics, orthography and phonology. Moreover, entries connect due to simi-larities in these language domains building a large network structure. The access to lexical information is crucial for processing of words and sentences. Thus, a lack of information in-hibits the retrieval and can cause language processing difficulties. Hence, the composition of the mental lexicon is essential for language skills and its assessment is a central topic of lin-guistic and educational research.
In early childhood, measurement of the mental lexicon is uncomplicated, for example through parental questionnaires or the analysis of speech samples. However, with growing content the measurement becomes more challenging: With more and more words in the mental lexicon, the inclusion of all possible known words into a test or questionnaire be-comes impossible. That is why there is a lack of methods to assess the mental lexicon for school children and adults. For the same reason, there are only few findings on the courses of lexical development during school years as well as its specific effect on other language skills. This dissertation is supposed to close this gap by pursuing two major goals: First, I wanted to develop a method to assess lexical features, namely lexicon size and lexical struc-ture, for children of different age groups. Second, I aimed to describe the results of this method in terms of lexical development of size and structure. Findings were intended to help understanding mechanisms of lexical acquisition and inform theories on vocabulary growth.
The approach is based on the dictionary method where a sample of words out of a dictionary is tested and results are projected on the whole dictionary to determine an indi-vidual’s lexicon size. In the present study, the childLex corpus, a written language corpus for children in German, served as the basis for lexicon size estimation. The corpus is assumed to comprise all words children attending primary school could know. Testing a sample of words out of the corpus enables projection of the results on the whole corpus. For this purpose, a vocabulary test based on the corpus was developed. Afterwards, test performance of virtual participants was simulated by drawing different lexicon sizes from the corpus and comparing whether the test items were included in the lexicon or not. This allowed determination of the relation between test performance and total lexicon size and thus could be transferred to a sample of real participants. Besides lexicon size, lexical content could be approximated with this approach and analyzed in terms of lexical structure.
To pursue the presented aims and establish the sampling method, I conducted three consecutive studies. Study 1 includes the development of a vocabulary test based on the childLex corpus. The testing was based on the yes/no format and included three versions for different age groups. The validation grounded on the Rasch Model shows that it is a valid instrument to measure vocabulary for primary school children in German. In Study 2, I estab-lished the method to estimate lexicon sizes and present results on lexical development dur-ing primary school. Plausible results demonstrate that lexical growth follows a quadratic function starting with about 6,000 words at the beginning of school and about 73,000 words on average for young adults. Moreover, the study revealed large interindividual differences. Study 3 focused on the analysis of network structures and their development in the mental lexicon due to orthographic similarities. It demonstrates that networks possess small-word characteristics and decrease in interconnectivity with age.
Taken together, this dissertation provides an innovative approach for the assessment and description of the development of the mental lexicon from primary school onwards. The studies determine recent results on lexical acquisition in different age groups that were miss-ing before. They impressively show the importance of this period and display the existence of extensive interindividual differences in lexical development. One central aim of future research needs to address the causes and prevention of these differences. In addition, the application of the method for further research (e.g. the adaptation for other target groups) and teaching purposes (e.g. adaptation of texts for different target groups) appears to be promising.
C-Arylglykoside und Chalkone
(2019)
Im bis heute andauernden Zeitalter der wissenschaftlichen Medizin, konnte ein breites Spektrum von Wirkstoffen zur Behandlung diverser Krankheiten zusammengetragen werden. Dennoch hat es sich die organische Synthesechemie zur Aufgabe gemacht, dieses Spektrum auf neuen oder bekannten Wegen und aus verschiedenen Gründen zu erweitern. Zum einen ist das Vorkommen bestimmter Verbindungen in der Natur häufig limitiert, sodass synthetische Methoden immer öfter an Stelle eines weniger nachhaltigen Abbaus treten. Zum anderen kann durch Derivatisierung und Wirkstoffanpassung die physiologische Wirkung oder die Bioverfügbarkeit eines Wirkstoffes erhöht werden. In dieser Arbeit konnten einige Vertreter der bekannten Wirkstoffklassen C-Arylglykoside und Chalkone durch den Schlüsselschritt der Palladium-katalysierten MATSUDA-HECK-Reaktion synthetisiert werden.
Dazu wurden im Fall der C-Arylglykoside zunächst ungesättigte Kohlenhydrate (Glykale) über eine Ruthenium-katalysierte Zyklisierungsreaktion dargestellt. Diese wurden im Anschluss mit unterschiedlich substituierten Diazoniumsalzen in der oben erwähnten Palladium-katalysierten Kupplungsreaktion zur Reaktion gebracht. Bei der Auswertung der analytischen Daten konnte festgestellt werden, dass stets die trans-Diastereomere gebildet wurden. Im Anschluss konnte gezeigt werden, dass die Doppelbindungen dieser Verbindungen durch Hydrierung, Dihydroxylierung oder Epoxidierung funktionalisiert werden können. Auf diesem Wege konnte u. a. eine dem Diabetesmedikament Dapagliflozin ähnliche Verbindung hergestellt werden.
Im zweiten Teil der Arbeit wurden Arylallylchromanone durch die MATSUDA-HECK-Reaktion von verschiedenen 8-Allylchromanonen mit Diazoniumsalzen dargestellt. Dabei konnte beobachtet werden, dass eine MOM-Schutzgruppe in 7-Position der Moleküle die Darstellung von Produktgemischen unterdrückt und jeweils nur eine der möglichen Verbindungen gebildet wird. Die Lage der Doppelbindung konnte mittels 2D-NMR-Untersuchungen lokalisiert werden. In Kooperation mit der theoretischen Chemie sollte durch Berechnungen untersucht werden, wie die beobachteten Verbindungen entstehen. Durch eine auftretende Wechselwirkung innerhalb des Moleküls konnte allerdings keine explizite Aussage getroffen werden.
Im Anschluss sollten die erhaltenen Verbindungen in einer allylischen Oxidation zu Chalkonen umgesetzt werden. Die Ruthenium-katalysierten Methoden zeigten u. a. keine Eignung. Es konnte allerdings eine metallfreie, Mikrowellen-unterstützte Methode erfolgreich erprobt werden, sodass die Darstellung einiger Vertreter dieser physiologisch aktiven Stoffklasse gelang.
The growing energy demand of the modern economies leads to the increased consumption of fossil fuels in form of coal, oil, and natural gases, as the mains sources. The combustion of these carbon-based fossil fuels is inevitably producing greenhouse gases, especially CO2. Approaches to tackle the CO2 problem are to capture it from the combustion sources or directly from air, as well as to avoid CO2 production in energy consuming sources (e.g., in the refrigeration sector). In the former, relatively low CO2 concentrations and competitive adsorption of other gases is often leading to low CO2 capacities and selectivities. In both approaches, the interaction of gas molecules with porous materials plays a key role. Porous carbon materials possess unique properties including electric conductivity, tunable porosity, as well as thermal and chemical stability. Nevertheless, pristine carbon materials offer weak polarity and thus low CO2 affinity. This can be overcome by nitrogen doping, which enhances the affinity of carbon materials towards acidic or polar guest molecules (e.g., CO2, H2O, or NH3). In contrast to heteroatom-free materials, such carbon materials are in most cases “noble”, that is, they oxidize other matter rather than being oxidized due to the very positive working potential of their electrons. The challenging task here is to achieve homogenous distribution of significant nitrogen content with similar bonding motives throughout the carbon framework and a uniform pore size/distribution to maximize host-guest interactions. The aim of this thesis is the development of novel synthesis pathways towards nitrogen-doped nanoporous noble carbon materials with precise design on a molecular level and understanding of their structure-related performance in energy and environmental applications, namely gas adsorption and electrochemical energy storage.
A template-free synthesis approach towards nitrogen-doped noble microporous carbon materials with high pyrazinic nitrogen content and C2N-type stoichiometry was established via thermal condensation of a hexaazatriphenylene derivative. The materials exhibited high uptake of guest molecules, such as H2O and CO2 at low concentrations, as well as moderate CO2/N2 selectivities. In the following step, the CO2/N2 selectivity was enhanced towards molecular sieving of CO2 via kinetic size exclusion of N2. The precise control over the condensation degree, and thus, atomic construction and porosity of the resulting materials led to remarkable CO2/N2 selectivities, CO2 capacities, and heat of CO2 adsorption. The ultrahydrophilic nature of the pore walls and the narrow microporosity of these carbon materials served as ideal basis for the investigation of interface effects with more polar guest molecules than CO2, namely H2O and NH3.
H2O vapor physisorption measurements, as well as NH3-temperature programmed desorption and thermal response measurements showed exceptionally high affinity towards H2O vapor and NH3 gas. Another series of nitrogen-doped carbon materials was synthesized by direct condensation of a pyrazine-fused conjugated microporous polymer and their structure-related performance in electrochemical energy storage, namely as anode materials for sodium-ion battery, was investigated.
All in all, the findings in this thesis exemplify the value of molecularly designed nitrogen-doped carbon materials with remarkable heteroatom content implemented as well-defined structure motives. The simultaneous adjustment of the porosity renders these materials suitable candidates for fundamental studies about the interactions between nitrogen-doped carbon materials and different guest species.
Light-induced pH cycle
(2019)
Background Many biochemical reactions depend on the pH of their environment and some are strongly accelerated in an acidic surrounding. A classical approach to control biochemical reactions non-invasivly is by changing the temperature. However, if the pH could be controlled by optical means using photo-active chemicals, this would mean to be able to accelerate suitable biochemical reactions. Optically switching the pH can be achieved by using photoacids. A photoacid is a molecule with a functional group that releases a proton upon irradiation with the suitable wavelength, acidifying the environmental aqueous surrounding. A major goal of this work was to establish a non-invasive method of optically controlling the pH in aqueous solutions, offering the opportunity to enhance the known chemical reactions portfolio. To demonstrate the photo-switchable pH cycling we chose an enzymatic assay using acid phosphatase, which is an enzyme with a strong pH dependent activity.
Results In this work we could demonstrate a light-induced, reversible control of the enzymatic activity of acid phosphatase non-invasivly. To successfully conduct those experiments a high power LED array was designed and built, suitable for a 96 well standard microtiter plate, not being commercially available. Heat management and a lateral ventilation system to avoid heat accumulation were established and a stable light intensity achieved. Different photoacids were characterised and their pH dependent absorption spectra recorded. By using the reversible photoacid G-acid as a proton donor, the pH can be changed reversibly using high power UV 365 nm LEDs. To demonstrate the pH cycling, acid phosphatase with hydrolytic activity under acidic conditions was chosen. An assay using the photoacid together with the enzyme was established, also providing that G-acid does not inhibit acid phosphatase. The feasibility of reversibly regulating the enzyme’s pH dependent activity by optical means was demonstrated, by controlling the enzymatic activity with light. It was demonstrated that the enzyme activity depends on the light exposure time only. When samples are not illuminated and left in the dark, no enzymatic activity was recorded. The process can be rapidly controlled by simply switching the light on and off and should be applicable to a wide range of enzymes and biochemical reactions.
Conclusions Reversible photoacids offer a light-dependent regulation of pH, making them extremely attractive for miniaturizable, non-invasive and time-resolved control of biochemical reactions. Many enzymes have a sharp pH dependent activity, thus the established setup in this thesis could be used for a versatile enzyme portfolio. Even though the demonstrated photo-switchable strategy could also be used for non-enzymatic assays, greatly facilitating the assay establishment. Photoacids have the potential for high throughput methods and automation. We demonstrated that it is possible to control photoacids using commonly available LEDs, making their use in highly integrated devices and instruments more attractive. The successfully designed 96 well high power UV LED array presents an opportunity for general combinatorial analysis in e.g. photochemistry, where a high light intensity is needed for the investigation of various reactions.
Magmatic-hydrothermal fluids are responsible for numerous mineralization types, including porphyry copper and granite related tin-tungsten (Sn-W) deposits. Ore formation is dependent on various factors, including, the pressure and temperature regime of the intrusions, the chemical composition of the magma and hydrothermal fluids, and fluid rock interaction during the ascent. Fluid inclusions have potential to provide direct information on the temperature, salinity, pressure and chemical composition of fluids responsible for ore formation. Numerical modeling allows the parametrization of pluton features that cannot be analyzed directly via geological observations.
Microthermometry of fluid inclusions from the Zinnwald Sn-W deposit, Erzgebirge, Germany / Czech Republic, provide evidence that the greisen mineralization is associated with a low salinity (2-10 wt.% NaCl eq.) fluid with homogenization temperatures between 350°C and 400°C. Quartzes from numerous veins are host to inclusions with the same temperatures and salinities, whereas cassiterite- and wolframite-hosted assemblages with slightly lower temperatures (around 350°C) and higher salinities (ca. 15 wt. NaCl eq.). Further, rare quartz samples contained boiling assemblages consisting of coexisting brine and vapor phases. The formation of ore minerals within the greisen is driven by invasive fluid-rock interaction, resulting in the loss of complexing agents (Cl-) leading to precipitation of cassiterite. The fluid inclusion record in the veins suggests boiling as the main reason for cassiterite and wolframite mineralization. Ore and coexisting gangue minerals hosted different types of fluid inclusions where the beginning boiling processes are solely preserved by the ore minerals emphasizing the importance of microthermometry in ore minerals. Further, the study indicates that boiling as a precipitation mechanism can only occur in mineralization related to shallow intrusions whereas deeper plutons prevent the fluid from boiling and can therefore form tungsten mineralization in the distal regions.
The tin mineralization in the Hämmerlein deposit, Erzgebirge, Germany, occurs within a skarn horizon and the underlying schist. Cassiterite within the skarn contains highly saline (30-50 wt% NaCl eq.) fluid inclusions, with homogenization temperatures up to 500°C, whereas cassiterites from the schist and additional greisen samples contain inclusions of lower salinity (~5 wt% NaCl eq.) and temperature (between 350 and 400°C). Inclusions in the gangue minerals (quartz, fluorite) preserve homogenization temperatures below 350°C and sphalerite showed the lowest homogenization temperatures (ca. 200°C) whereby all minerals (cassiterite from schist and greisen, gangue minerals and sphalerite) show similar salinity ranges (2-5 wt% NaCl eq.). Similar trace element contents and linear trends in the chemistry of the inclusions suggest a common source fluid. The inclusion record in the Hämmerlein deposit documents an early exsolution of hot brines from the underlying granite which is responsible for the mineralization hosted by the skarn. Cassiterites in schist and greisen are mainly forming due to fluid-rock interaction at lower temperatures. The low temperature inclusions documented in the sphalerite mineralization as well as their generally low trace element composition in comparison to the other minerals suggests that their formation was induced by mixing with meteoric fluids.
Numerical simulations of magma chambers and overlying copper distribution document the importance of incremental growth by sills. We analyzed the cooling behavior at variable injection intervals as well as sill thicknesses. The models suggest that magma accumulation requires volumetric injection rates of at least 4 x 10-4 km³/y. These injection rates are further needed to form a stable magmatic-hydrothermal fluid plume above the magma chamber to ensure a constant copper precipitation and enrichment within a confined location in order to form high-grade ore shells within a narrow geological timeframe between 50 and 100 kyrs as suggested for porphyry copper deposits. The highest copper enrichment can be found in regions with steep temperature gradients, typical of regions where the magmatic-hydrothermal fluid meets the cooler ambient fluids.
Floods are among the most costly natural hazards that affect Europe and Germany, demanding a continuous adaptation of flood risk management. While social and economic development in recent years altered the flood risk patterns mainly with regard to an increase in flood exposure, different flood events are further expected to increase in frequency and severity in certain European regions due to climate change. As a result of recent major flood events in Germany, the German flood risk management shifted to more integrated approaches that include private precaution and preparation to reduce the damage on exposed assets. Yet, detailed insights into the preparedness decisions of flood-prone households remain scarce, especially in connection to mental impacts and individual coping strategies after being affected by different flood types.
This thesis aims to gain insights into flash floods as a costly hazard in certain German regions and compares the damage driving factors to the damage driving factors of river floods. Furthermore, psychological impacts as well as the effects on coping and mitigation behaviour of flood-affected households are assessed. In this context, psychological models such as the Protection Motivation Theory (PMT) and methods such as regressions and Bayesian statistics are used to evaluate influencing factors on the mental coping after an event and to identify psychological variables that are connected to intended private flood mitigation. The database consists of surveys that were conducted among affected households after major river floods in 2013 and flash floods in 2016.
The main conclusions that can be drawn from this thesis reveal that the damage patterns and damage driving factors of strong flash floods differ significantly from those of river floods due to a rapid flow origination process, higher flow velocities and flow forces. However, the effects on mental coping of people that have been affected by flood events appear to be weakly influenced by different flood types, but yet show a coherence to the event severity, where often thinking of the respective event is pronounced and also connected to a higher mitigation motivation. The mental coping and preparation after floods is further influenced by a good information provision and a social environment, which encourages a positive attitude towards private mitigation.
As an overall recommendation, approaches for an integrated flood risk management in Germany should be followed that also take flash floods into account and consider psychological characteristics of affected households to support and promote private flood mitigation. Targeted information campaigns that concern coping options and discuss current flood risks are important to better prepare for future flood hazards in Germany.
Optimization is a core part of technological advancement and is usually heavily aided by computers. However, since many optimization problems are hard, it is unrealistic to expect an optimal solution within reasonable time. Hence, heuristics are employed, that is, computer programs that try to produce solutions of high quality quickly. One special class are estimation-of-distribution algorithms (EDAs), which are characterized by maintaining a probabilistic model over the problem domain, which they evolve over time. In an iterative fashion, an EDA uses its model in order to generate a set of solutions, which it then uses to refine the model such that the probability of producing good solutions is increased.
In this thesis, we theoretically analyze the class of univariate EDAs over the Boolean domain, that is, over the space of all length-n bit strings. In this setting, the probabilistic model of a univariate EDA consists of an n-dimensional probability vector where each component denotes the probability to sample a 1 for that position in order to generate a bit string.
My contribution follows two main directions: first, we analyze general inherent properties of univariate EDAs. Second, we determine the expected run times of specific EDAs on benchmark functions from theory. In the first part, we characterize when EDAs are unbiased with respect to the problem encoding. We then consider a setting where all solutions look equally good to an EDA, and we show that the probabilistic model of an EDA quickly evolves into an incorrect model if it is always updated such that it does not change in expectation.
In the second part, we first show that the algorithms cGA and MMAS-fp are able to efficiently optimize a noisy version of the classical benchmark function OneMax. We perturb the function by adding Gaussian noise with a variance of σ², and we prove that the algorithms are able to generate the true optimum in a time polynomial in σ² and the problem size n. For the MMAS-fp, we generalize this result to linear functions. Further, we prove a run time of Ω(n log(n)) for the algorithm UMDA on (unnoisy) OneMax. Last, we introduce a new algorithm that is able to optimize the benchmark functions OneMax and LeadingOnes both in O(n log(n)), which is a novelty for heuristics in the domain we consider.