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Chapter 1 deals with the reaction of [Rh(acac)(PMe3)2] with para-substituted 1,4-diphenylbuta-1,3-diynes at room temperature, in which a complex containing a bidentate organic fulvene moiety, composed of two diynes, σ-bound to the rhodium center is formed in an all-carbon [3+2] type cyclization reaction. In addition, a complex containing an organic indene moiety, composed of three diynes, attached to the rhodium center in a bis-σ-manner is formed in a [3+2+3] cyclization process.
Reactions at 100 °C reveal that the third diyne inserts between the rhodium center and the bis-σ-bound organic fulvene moiety. Furthermore, the formation of a 2,5- and a 2,4-bis(arylethynyl)rhodacyclopentadiene is observed. The unique [3+2] cyclization product was used for the synthesis of a highly conjugated organic molecule, which is hard to access or even inaccessible by conventional methods. Thus, at elevated temperatures, reaction of the [3+2] product with para-tolyl isocyanate led to the formation of a purple organic compound containing the organic fulvene structure and one equivalent of para-tolyl isocyanate.
The blue and green [3+2+3] complexes show an unusually broad absorption from 500 – 1000 nm with extinction coefficients ε of up to 11000 M-1 cm-1. The purple organic molecule shows an absorption spectrum similar to those of known diketopyrrolopyrroles.
Additionally, the reaction of [Rh(acac)(PMe3)2] with para-tolyl isocyanate was investigated. A cis-phosphine complex of the form cis-[Rh(acac)(PMe3)2(isocyanate)2] with an isocyanate dimer bound to the rhodium center by one carbon and one oxygen atom was isolated.
Replacing the trimethylphosphine ligands in [Rh(acac)(PMe3)2] with the stronger σ-donating NHC ligand Me2Im (1,3-dimethylimidazolin-2-ylidene), again, drastically alters the reaction. Similar [3+2] and [3+2+3] products to those discussed above could not be unambiguously assigned, but cis- and trans-π-complexes, which are in an equilibrium with the two starting materials, were formed.
Chapters 2 is about the influence of the backbone of the α,ω-diynes on the formation and photophysical properties of 2,5-bis(aryl)rhodacyclopentadienes. Therefore, different α,ω-diynes were reacted with [Rh(acac)(PMe3)2] and [Rh(acac)(P(p-tolyl)3)2] in equimolar amounts. In general, a faster consumption of the rhodium(I) starting material is observed while using preorganized α,ω-diynes with electron withdrawing substituents in the backbone. The isolated PMe3-substituted rhodacyclopentadienes exhibit fluorescence, despite the presence of the heavy atom rhodium, with lifetimes τF of < 1 ns and photoluminescence quantum yields Φ of < 0.01 as in previously reported P(p-tolyl)-substituted 2,5-bis(arylethynyl)rhodacyclopentadienes. However, an isolated P(p-tolyl)-substituted 2,5-bis(aryl)rhodacyclopentadiene shows multiple lifetimes and different absorption and excitation spectra leading to the conclusion that different species may be present.
Reaction of [Rh(acac)(Me2Im)2] with dimethyl 4,4'-(naphthalene-1,8-diylbis(ethyne-2,1-diyl))dibenzoate, results in the formation of a mixture trans- and cis-NHC-substituted 2,5-bis(aryl)rhodacyclopentadienes.
In chapter 3 the reaction of various acac- and diethyldithiocarbamate-substituted rhodium(I) catalysts bearing (chelating)phosphines with α,ω-bis(arylethynyl)alkanes (α,ω-diynes), yielding luminescent dimers and trimers, is described. The photophysical properties of dimers and trimers of the α,ω-diynes were investigated and compared to para-terphenyl, showing a lower quantum yield and a larger apparent Stokes shift.
Furthermore, a bimetallic rhodium(I) complex of the form [Rh2(ox)(P(p-tolyl)3)4] (ox: oxalate) was reacted with a CO2Me-substituted α,ω-tetrayne forming a complex in which only one rhodium(I) center reacts with the α,ω-tetrayne. The photophysical properties of this mixed rhodium(I)/(III) species shows only negligible differences compared to the P(p-tolyl)- and CO2Me-substituted 2,5-bis(arylethynyl)rhodacyclopentadiene, previously synthesized by Marder and co-workers.
Hormones are essential components in the body and their imbalance leads to pathological consequences. T2DM, insulin resistance and obesity are the most commonly occurring lifestyle diseases in the past decade. Also, an increased cancer incidence has been strongly associated with obese and T2DM patients.
Therefore, our aim was to study the influence of high insulin levels in accumulating DNA damage in in vitro models and patients, through the induction of oxidative stress. The primary goal of this study was to analyze the genotoxicity induced by the combined action of two endogenous hormones (insulin and adrenaline) with in vitro models, through the induction of micronuclei and to see if they cause an additive increase in genomic damage. This is important for multifactorial diseases having high levels of more than one hormone, such as metabolic syndrome and conditions with multiple pathologies (e.g., T2DM along with high stress levels).
Furthermore, the combination of insulin and the pharmacological inhibition of the tumor suppressor gene: PTEN, was to be tested in in vitro models for their genotoxic effect and oxidative stress inducing potential. As the tumor suppressor gene: PTEN is downregulated in PTEN associated syndromes and when presented along with T2DM and insulin resistance, this may increase the potential to accumulate genomic damage.
The consequences of insulin action were to be further elucidated by following GFP-expressing cells in live cell-imaging to observe the ability of insulin, to induce micronuclei and replicative stress. Finally, the detrimental potential of high insulin levels in obese patients with hyperinsulinemia and pre-diabetes was to be studied by analyzing markers of oxidative stress and genomic damage. In summary, the intention of this work was to understand the effects of high insulin levels in in vitro and in patients to understand its relevance for the development of genomic instability and thus an elevated cancer risk.
L-type voltage-gated calcium channels (LTCC) are heteromultimeric membrane proteins that allow Ca2+ entry into the cell upon plasma membrane depolarization. The β subunit of voltage-dependent calcium channels (Cavβ) binds to the α-interaction domain in the pore-forming α1 subunit and regulates the trafficking and biophysical properties of these channels. Of the four Cavβ isoforms, Cavβ2 is predominantly expressed in cardiomyocytes. This subunit associates with diverse proteins besides LTCC, but the molecular composition of the Cavβ2 nanoenvironments in cardiomyocytes is yet unresolved. Here, we used a protein-labeling technique in living cells based on an engineered ascorbate peroxidase 2 (APEX2). In this strategy, Cavβ2b was fused to APEX2 and expressed in adult rat cardiomyocytes using an adenovirus system. Nearby proteins covalently labeled with biotin-phenol were purified using streptavidin-coated beads and identified by mass spectrometry (MS). Analysis of the in situ APEX2-based biotin labeling by MS revealed 61 proteins located in the nanoenvironments of Cavβ2b, with a high specificity and consistency in all the replicates. These proteins are involved in diverse cellular functions such as cellular trafficking, sarcomere organization and excitation-contraction coupling. Among these proteins, we demonstrated an interaction between the ryanodine receptor 2 (RyR2) and Cavβ2b, probably coupling LTCC and the RyR2 into a supramolecular complex at the dyads. This interaction is mediated by the Src homology 3 (SH3) domain of Cavβ2b and is necessary for an effective pacing frequency‐dependent increase in Ca2+-induced Ca2+ release in cardiomyocytes.
Tree species diversity is important to maintain saproxylic beetle diversity in managed forests. Yet, knowledge about the conservational importance of single tree species and implications for forest management and conservation practices are lacking.
We exposed freshly cut branch‐bundles of 42 tree species, representing tree species native and non‐native to Europe, under sun‐exposed and shaded conditions for 1 year. Afterwards, communities of saproxylic beetles were reared ex situ for 2 years. We tested for the impact of tree species and sun exposure on alpha‐, beta‐, and gamma‐diversity as well as composition of saproxylic beetle communities. Furthermore, the number of colonised tree species by each saproxylic beetle species was determined.
Tree species had a lower impact on saproxylic beetle communities compared to sun exposure. The diversity of saproxylic beetles varied strongly among tree species, with highest alpha‐ and gamma‐diversity found in Quercus petraea. Red‐listed saproxylic beetle species occurred ubiquitously among tree species. We found distinct differences in the community composition of broadleaved and coniferous tree species, native and non‐native tree species as well as sun‐exposed and shaded deadwood.
Our study enhances the understanding of the importance of previously understudied and non‐native tree species for the diversity of saproxylic beetles. To improve conservation practices for saproxylic beetles and especially red‐listed species, we suggest a stronger incorporation of tree species diversity and sun exposure of into forest management strategies, including the enrichment of deadwood from native and with a specific focus on locally rare or silviculturally less important tree species.
Considerable effort has previously been invested in a light‐controlled inhibition of the enzyme acetylcholinesterase (AChE). We found that a novel azobenzene‐based bistacrine AChE inhibitor switched faster than the known dithienylethene based bistacrine and inverted the photo‐controlled interactions of the photoisomers compared to its dithienylethene congener. Furthermore, we have optimized a previously described light‐controlled tacrine‐based AChE inhibitor. Isomerization upon irradiation with UV light of the novel inhibitor was observed in aqueous medium and showed no fatigue over several cycles. The cis‐enriched form showed an 8.4‐fold higher inhibition of hAChE compared with its trans‐enriched form and was about 30‐fold more active than the reference compound tacrine with a single‐digit nanomolar inhibition. We went beyond proof‐of‐concept to discover photoswitchable AChE inhibitors with pharmacologically desirable nanomolar inhibition, “cis‐on” effect, and pronounces differences between the photoisomers.
The cuticle is constituted of the biopolymer cutin and intra- and epicuticular waxes. In some cases, it has epicuticular wax crystals, protruding from the epicuticular wax film. One of the most important tasks is protection against desiccation. Many investigations were conducted to find the transport limiting component of the cuticle. It is evidentially confirmed that the waxes form this barrier. These waxes are multifactorial blends made of very-long-chain aliphatic (VLCA) compounds and triterpenoids (TRP). The VLCAs were proposed to constitute the transpiration barrier to water. However, experimental confirmation was lacking so far. The present study focuses on the development of a method to selectively extract TRPs from the cuticle and the impact of the removal on the transpiration barrier.
The plants deployed in this study exhibited several features. They had no epicuticular crystals on their surfaces, were astomatous, had a rather durable and possibly isolatable cuticle. A broad range of wax compositions was covered from plants with no TRP content and low wax load like Hedera helix and Zamioculcas zamiifolia to plants with high TRP content and high wax load like Nerium oleander. The selective extraction was conducted using a sequence of solvents. TRPs were extracted almost exhaustively from CMs with the first MeOH extract. Only a minor amount of shorter chained VLCAs was obtained. The remaining waxes, consisting mostly of VLCAs and some remnant TRPs, were removed with the following TCM extract.
After the extractions, the water permeance of native cuticular membranes (CM), MeOH extracted (M) and dewaxed cuticular discs (MX) was investigated gravimetrically. Compared to the water permeance of CMs, Ms showed no or only a small increase in water conductance. MXs, however, always showed strongly increased values.
The knowledge about the wax compounds constituting the transport-limiting properties is vital for different projects. For various issues, it would be favourable to have a standardized wax mixture as an initial point of research. It could be used to develop screening procedures to investigate the impact of adjuvants on cuticular waxes or the influence of wax constituents on the properties of cuticular waxes. This work concentrated on the development of an artificial wax mixture, which mimics the physical properties of a plant leaf wax sufficiently.
As target wax, the leaf wax of Schefflera elegantissima was chosen. The wax of this plant species consisted almost exclusively of VLCAs, had a rather simple composition regarding compound classes and chain length distribution and CMs could be isolated. Artificial binary, ternary and quaternary waxes corresponding to the conditions within the plant wax were investigated using differential scanning calorimetry (DSC), X-ray diffraction (XRD) techniques and Fourier-transform infrared (FTIR) spectroscopy. Phase diagrams were mapped out for a series of binary, ternary and quaternary wax mixtures. FTIR experiments were conducted using, ternary and a quaternary artificial wax blends. The blends were chosen to represent the conditions within the wax of the adaxial CM plant wax. The FTIR experiments exhibited an increasing resemblance of the artificial wax to the plant wax (adaxial CM wax) with an increasing number of compounds in the artificial wax. The same trend was found for DSC thermograms. Thermograms of ternary and quaternary blends exhibited more overlapping peaks and occurred in a temperature range more similar to the range of the whole leaf plant wax. The XRD spectrum at room temperature showed good conformity with the quaternary blend.
The current work illustrates a method for selective extraction of TRPs from isolated CMs. It gives direct experimental proof of the association of the water permeance barrier with the VLCA rather than to the TRPs. Furthermore, the possibility to mimic cuticular waxes using commercially available wax compounds is investigated. The results show promising feasibility for its viability, enabling it to perform as a standardized initial point for further research (e.g. to examine the influence of different constituents on waxes), revealing valuable knowledge about the structure and the chemistry-function relationship of cuticular waxes.
After almost two decades of extensive research, some controversy has remained regarding the self-renewal of resident macrophages of the central nervous system (CNS). Concurrently, the vessel wall has emerged as a potentially ubiquitous niche for stem and progenitor cells, including committed macrophage precursors. It is conceivable that their occurrence in the CNS might explain the brain-resident hematopoietic potential, which has repeatedly been observed but not yet characterized in detail. In this work, the presence of hematopoietic progenitors inside and outside the vessel wall was studied in the adult mouse brain, as well as their possible contribution to the resident macrophage pool. An immunohistological analysis did not corroborate CD45+ SCA-1+ macrophage progenitors, which have been characterized in peripheral arteries, in the circle of Willis. Accordingly, the ex vivo culture of CNS vessels did not provide evidence for de novo formation of macrophages, but for the extensive proliferative capacity of mature cells. However, when analyzing whole brain suspensions in colony-forming unit (CFU) assays, rare Iba1- Cx3cr1- (immature) clonogenic cells were detected, which were enriched at the cerebral surface/meninges and differentiated into macrophages in culture. Intravenous antibody injection and cell sorting confirmed their residence behind the blood-brain barrier. Intriguingly, brain-derived CFUs produced a unique pattern of colony types compared to cells from bone marrow (BM) or blood. Still they displayed the same immunophenotype as BM-resident myeloid progenitors (CD45lo, LIN-, SCA-1-, IL7Rα-, c-KIT+) and could be further stratified into a progenitor hierarchy giving rise to all erythro-myeloid cell types in vitro. This similarity was substantiated by labeling of their progeny in Flt3Cre x Rosa26mT/mG mice, which indicated a descendance from hematopoietic stem cells. While forced repopulation of brain macrophages using the CSF-1R inhibitor PLX5622 did not point to a role of progenitors in in vivo microglia/macrophage maintenance, recent advances in hematology imply that they might be involved in CNS immunosurveillance. In conclusion, though there was no evidence for adventitial macrophage precursors in the CNS, this study confirms the presence of myeloid progenitors in the adult brain and provides the anatomical and phenotypical details necessary to elucidate their relevance in neuroinflammation.
According to the “canonical” paradigm of GPCR signaling, agonist-bound GPCRs only signal to the downstream adenylyl cyclase enzyme when they are seated at the plasma membrane. Upon prolonged binding of an agonist, receptor internalization usually takes place, leading to the termination of this downstream signaling pathway and activation of alternative ones. However, a set of recent studies have shown that at least some GPCRs (e.g. thyroid stimulating hormone receptor) continue signaling to adenylyl cyclase after internalization. In this study, I aimed to investigate canonical signaling by internalized μ opioid receptors (MORs), which are Gi-coupled receptors, using a fluorescence resonance energy transfer (FRET) sensor for cyclic AMP (cAMP) known as Epac1-camps. My results show that the cyclic AMP inhibition signal induced by the binding of DAMGO, a MOR agonist, persists after agonist washout. We hypothesized that this persistent signal might come from internalized DAMGO-bound receptors located in the endosomal compartment. To test this hypothesis, I used dynasore and Dyngo 4a, two dynamin inhibitors that are known to prevent clathrin-mediated endocytosis. Interestingly, dynasore but not Dyngo 4a pretreatment largely blunted the response to MOR activation as well as to adenylyl cyclase activation with Forskolin (FSK). In addition, DAMGO-induced cAMP signal remained persistent even in the presence of 30 M Dyngo 4a. These results might point to a complex interplay between clathrin-mediated internalization and MOR signaling. Further experiments are required to elucidate the mechanisms underlying the persistent MOR signaling and to fully clarify whether MORs are capable of Gi signaling in the endosomal compartment.
We compute genus-0 Belyi maps with prescribed monodromy and strictly verify the computed results. Among the computed examples are almost simple primitive groups that satisfy the rational rigidity criterion yielding polynomials with prescribed Galois groups over Q(t). We also give an explicit version of a theorem of Magaard, which lists all sporadic groups occurring as composition factors of monodromy groups of rational functions.
The liver plays a pivotal role in maintaining energy homeostasis. Hepatic carbohydrate and lipid metabolism are tightly regulated in order to adapt quickly to changes in nutrient availability. Postprandially, the liver lowers the blood glucose levels and stores nutrients in form of glycogen and triglycerides (TG). In contrast, upon fasting, the liver provides glucose, TG, and ketone bodies. However, obesity resulting from a discrepancy in food intake and energy expenditure leads to abnormal fat accumulation in the liver, which is associated with the development of hepatic insulin resistance, non-alcoholic fatty liver disease, and diabetes. In this context, hepatic insulin resistance is directly linked to the accumulation of diacylglycerol (DAG) in the liver. Besides being an intermediate product of TG synthesis, DAG serves as second messenger in response to G-protein coupled receptor signaling. Protein kinase D (PKD) family members are DAG effectors that integrate multiple metabolic inputs. However, the impact of PKD signaling on liver physiology has not been studied so far. In this thesis, PKD3 was identified as the predominantly expressed isoform in liver. Stimulation of primary hepatocytes with DAG as well as high-fat diet (HFD) feeding of mice led to an activation of PKD3, indicating its relevance during obesity. HFD-fed mice lacking PKD3 specifically in hepatocytes displayed significantly improved glucose tolerance and insulin sensitivity. However, at the same time, hepatic deletion of PKD3 in mice resulted in elevated liver weight as a consequence of increased hepatic lipid accumulation. Lack of PKD3 in hepatocytes promoted sterol regulatory element-binding protein (SREBP)-mediated de novo lipogenesis in vitro and in vivo, and thus increased hepatic triglyceride and cholesterol content. Furthermore, PKD3 suppressed the activation of SREBP by impairing the activity of the insulin effectors protein kinase B (AKT) and mechanistic target of rapamycin complexes (mTORC) 1 and 2. In contrast, liver-specific overexpression of constitutive active PKD3 promoted glucose intolerance and insulin resistance. Taken together, lack of PKD3 improves hepatic insulin sensitivity but promotes hepatic lipid accumulation. For this reason, manipulating PKD3 signaling might be a valid strategy to improve hepatic lipid content or insulin sensitivity. However, the exact molecular mechanism by which PKD3 regulates hepatocytes metabolism remains unclear.
Unbiased proteomic approaches were performed in order to identify PKD3 phosphorylation targets. In this process, numerous potential targets of PKD3 were detected, which are implicated in different aspects of cellular metabolism. Among other hits, phenylalanine hydroxylase (PAH) was identified as a target of PKD3 in hepatocytes. PAH is the enzyme that is responsible for the conversion of phenylalanine to tyrosine. In fact, manipulation of PKD3 activity using genetic tools confirmed that PKD3 promotes PAH-dependent conversion of phenylalanine to tyrosine. Therefore, the data in this thesis suggests that PKD3 coordinates lipid and amino acid metabolism in the liver and contributes to the development of hepatic dysfunction.
TNFR1 is a crucial regulator of NF‐ĸB‐mediated proinflammatory cell survival responses and programmed cell death (PCD). Deregulation of TNFα‐ and TNFR1‐controlled NF‐ĸB signaling underlies major diseases, like cancer, inflammation, and autoimmune diseases. Therefore, although being routinely used, antagonists of TNFα might also affect TNFR2‐mediated processes, so that alternative approaches to directly antagonize TNFR1 are beneficial. Here, we apply quantitative single‐molecule localization microscopy (SMLM) of TNFR1 in physiologic cellular settings to validate and characterize TNFR1 inhibitory substances, exemplified by the recently described TNFR1 antagonist zafirlukast. Treatment of TNFR1‐mEos2 reconstituted TNFR1/2 knockout mouse embryonic fibroblasts (MEFs) with zafirlukast inhibited both ligand‐independent preligand assembly domain (PLAD)‐mediated TNFR1 dimerization as well as TNFα‐induced TNFR1 oligomerization. In addition, zafirlukast‐mediated inhibition of TNFR1 clustering was accompanied by deregulation of acute and prolonged NF‐ĸB signaling in reconstituted TNFR1‐mEos2 MEFs and human cervical carcinoma cells. These findings reveal the necessity of PLAD‐mediated, ligand‐independent TNFR1 dimerization for NF‐ĸB activation, highlight the PLAD as central regulator of TNFα‐induced TNFR1 oligomerization, and demonstrate that TNFR1‐mEos2 MEFs can be used to investigate TNFR1‐antagonizing compounds employing single‐molecule quantification and functional NF‐ĸB assays at physiologic conditions.
Stronger reactivity to social gaze in virtual reality compared to a classical laboratory environment
(2021)
People show a robust tendency to gaze at other human beings when viewing images or videos, but were also found to relatively avoid gaze at others in several real‐world situations. This discrepancy, along with theoretical considerations, spawned doubts about the appropriateness of classical laboratory‐based experimental paradigms in social attention research. Several researchers instead suggested the use of immersive virtual scenarios in eliciting and measuring naturalistic attentional patterns, but the field, struggling with methodological challenges, still needs to establish the advantages of this approach. Here, we show using eye‐tracking in a complex social scenario displayed in virtual reality that participants show enhanced attention towards the face of an avatar at near distance and demonstrate an increased reactivity towards her social gaze as compared to participants who viewed the same scene on a computer monitor. The present study suggests that reactive virtual agents observed in immersive virtual reality can elicit natural modes of information processing and can help to conduct ecologically more valid experiments while maintaining high experimental control.
Cell culture models are helpful tools to study inflammatory diseases, like rheumatoid arthritis (RA), osteoarthritis (OA), arteriosclerosis or asthma, which are linked to increased matrix metalloproteinase (MMP) activity. Such cell culture models often focus on the secretion of cytokines and growth factors or the direct effects of disease on tissue destruction. Even though the crucial role of MMPs in inflammatory diseases is known, the results of MMP studies are contradictious and the use of MMPs as biomarkers is inconsistent. MMPs play an important role in disease pathology, as they are involved in elastin degradation in the walls of alveoli in chronic obstructive pulmonary disease (COPD), tumor angiogenesis and metastasis and in cartilage and bone degradation in arthropathies. In RA and OA MMPs are secreted by osteocytes, synoviocytes, and by infiltrating immune cells in response to the increased concentration of inflammatory mediators, like growth factors and cytokines. MMPs are zinc and calcium-dependent proteinases and play an important role in physiological and pathological extracellular matrix (ECM) turn over. Their substrate specificity gives them the ability to degrade all major ECM components, like aggrecan, elastin, gelatin, fibronectin and all types of collagen even the triple helix of collagen monomers. The ECM consists of two large three-dimensional cross-linked macromolecule classes: one are fibrous proteins, like collagen and elastin fibers that are responsible for ECM’s structure, tensile strength, resiliency, reversible extensibility, and deformability and the second class is comprised of proteoglycans composed of glycosaminoglycan (GAG) chains covalently attached to protein cores that are multifunctionally involved in signaling pathways and cell interactions. ECM is present within all tissues and organs and changes in ECM structure contribute to pathogenesis, e.g. wounded and fibrotic tissue, COPD or tumours.
This thesis primarily focuses on the development of a diagnostic peptide system, that enables to gain information on MMP activity from ECM by deploying the isobaric mass encoding strategy. The core element of the developed system is an isotopically labelled peptide sequence (mass tag), that is released in response to elevated levels of MMPs and allows multiplexed detection in tandem mass spectrometry (LC-MS/MS). The mass reporters possess a modular structure with different functionalities. C-terminal either a transglutaminase (TG) recognition sequence or a high molecular weight polyethylene glycol (PEG) moiety was attached to immobilize the mass reporters covalently or physically at the injection site. The following matrix metalloproteinase substrate sequence (MSS) is incorporated in two different versions with different sensitivity to MMPs. The MSS were applied in pairs for relative quantification consisting of the cleavable version synthesized with natural L-amino acids and the non-cleavable D-amino acid variant. The mass tag was synthesized with isotopically labelled amino acids and is separated from the MSS by a UV light-sensitive molecule. N-terminal the mass tag is followed by a tobacco etch virus protease (TEV) sensitive sequence, that is responsible to separate the mass tag from the affinity tag, which was either the Strep-tag II sequence or biotin and were added for purification purposes.
Chapter 1 presents a step-by-step protocol on how to design a mass tag family allowing for multiplexed analysis by LC-MS/MS. The multiplexing is achieved by developing an isobar mass tag family with four family members, which are chromatographically indistinguishable, but due to the mass encoding principles they fragment in distinct y-type ions with a mass difference of 1 or 2 Da each in MS2. Furthermore, it is explained how to covalently attach the mass reporter peptides onto ECM by the activated calcium-catalyzed blood coagulation transglutaminase factor XIII (FXIIIa). The lysine of mass reporter’s TG sequence (D-domain of insulin-like growth factor-I (IGF-I)) and a glutamine in fibronectin are covalently crosslinked by FXIIIa and build an isopeptide bond. Elevated levels of MMP release the mass reporters from ECM by recognizing the inter-positioned MSS.
The designed mass reporters were able to monitor enzyme activity in an in vitro setting with cell-derived ECM, which was shown in Chapter 2. The modular structured mass reporters were investigated in a proof of concept study. First, the different modules were characterized in terms of their MMP responsiveness and their sensitivity to TEV protease and UV light. Then the FXIIIa-mediated coupling reaction was detailed and the successful coupling on ECM was visualized by an immunosorbent assay or confocal laser scanning microscopy. Finally, the immobilized mass reporters on ECM were incubated with MMP-9 to investigate their multiplexing ability of MMP activity. The cleaved mass reporter fragments were purified in three steps and mass tags were analyzed as mix of all four in LC-MS/MS.
Chapter 3 describes the change from an immobilizing system as seen in chapter 1 and 2 to a soluble enzyme activity monitoring system that was applied in an osteoarthritic mouse model. Instead of the immobilizing TG sequence the C-terminal MMS was extended with two amino acids where one holds an azide moiety to perform a strain-promoted azide-alkyne cycloaddition to a high molecular weight dibenzocyclooctyne-polyethylene glycol (DBCO-PEG), which was chosen to retain the mass reporters at the injection site. Furthermore, the N-terminal affinity tag was extended with a 2.5 kDa PEG chain to increase the half-life of the mass reporter peptides after MMP release. The systems biocompatibility was proved but its enzyme monitoring ability in an in vivo setting could not be analyzed as samples degraded during shipping resulting from the Chinese customs blocking transport to Germany.
In summary the diagnostic peptide system was developed in two variants. The immobilized version one from chapter 1 and 2 was designed to be covalently attached to ECM by the transglutaminase-mediated cross-linking reaction. In an in vitro setting the functionality of the mass reporter system for the detection of MMP activity was successfully verified. The second variant comprises of a soluble mass reporter system that was tested in an OA mouse model and showed biocompatibility. With these two designed systems this thesis provides a flexible platform based on multiplexed analysis with mass-encoded peptides to characterize cell culture models regarding their MMP activity, to deploy cell-derived ECM as endogenous depot scaffold and to develop a mass tag family that enables simultaneous detection of at least four mass tags.
This paper examines situations where two vertically integrated firms consider supplying an input to an independent downstream competitor via privately observed contracts. We identify equilibria where competition in the upstream market emerges—the downstream competitor gets supplied—as well as when the downstream firm does not receive the input and is excluded from the market. The likelihood of the outcome in which the downstream firm does not get supplied depends not only on demand parameters, but also on contractual flexibility and observability. We show that when contracts are unobservable, downstream entry will occur less often. Furthermore, our results suggest that permitting contracts that enable the contracting parties to coordinate their behavior in the downstream market may improve welfare by increasing the likelihood that the downstream firm is supplied.
This thesis is concerned with applying the total variation (TV) regularizer to surfaces and different types of shape optimization problems. The resulting problems are challenging since they suffer from the non-differentiability of the TV-seminorm, but unlike most other priors it favors piecewise constant solutions, which results in piecewise flat geometries for shape optimization problems.The first part of this thesis deals with an analogue of the TV image reconstruction approach [Rudin, Osher, Fatemi (Physica D, 1992)] for images on smooth surfaces. A rigorous analytical framework is developed for this model and its Fenchel predual, which is a quadratic optimization problem with pointwise inequality constraints on the surface. A function space interior point method is proposed to solve it. Afterwards, a discrete variant (DTV) based on a nodal quadrature formula is defined for piecewise polynomial, globally discontinuous and continuous finite element functions on triangulated surface meshes. DTV has favorable properties, which include a convenient dual representation. Next, an analogue of the total variation prior for the normal vector field along the boundary of smooth shapes in 3D is introduced. Its analysis is based on a differential geometric setting in which the unit normal vector is viewed as an element of the two-dimensional sphere manifold. Shape calculus is used to characterize the relevant derivatives and an variant of the split Bregman method for manifold valued functions is proposed. This is followed by an extension of the total variation prior for the normal vector field for piecewise flat surfaces and the previous variant of split Bregman method is adapted. Numerical experiments confirm that the new prior favours polyhedral shapes.
The central complex (CX) in the insect brain is a higher order integration center that controls a number of behaviors, most prominently goal directed locomotion. The CX comprises the protocerebral bridge (PB), the upper division of the central body (CBU), the lower division of the central body (CBL), and the paired noduli (NO). Although spatial orientation has been extensively studied in honeybees at the behavioral level, most electrophysiological and anatomical analyses have been carried out in other insect species, leaving the morphology and physiology of neurons that constitute the CX in the honeybee mostly enigmatic. The goal of this study was to morphologically identify neuronal cell types of the CX in the honeybee Apis mellifera. By performing iontophoretic dye injections into the CX, we traced 16 subtypes of neuron that connect a subdivision of the CX with other regions in the bee's central brain, and eight subtypes that mainly interconnect different subdivisions of the CX. They establish extensive connections between the CX and the lateral complex, the superior protocerebrum and the posterior protocerebrum. Characterized neuron classes and subtypes are morphologically similar to those described in other insects, suggesting considerable conservation in the neural network relevant for orientation.
Magnetic random access memory (MRAM) technology aims to replace dynamic RAM (DRAM) due to its significantly lower power consumption and non-volatility [Dong08]. During the last couple of years the commercial focus was set on spin-transfer torque MRAM (STT-MRAM) systems, where a current is pushed through a ferromagnetic (FM) free layer and a reference layer which are separated by an insulator. The free layer can be set to parallel or anti-parallel depending on the current direction [Kim11]. Unfortunately these currents have to be quite high which could lead to damages of the tunnel barrier of the magnetic tunnel junction resulting in higher power consumption as well as reliability issues. At this point a new effect, where the current is passed below the ferromagnetic layer stack, can be exploited to change the direction of the free layer magnetization. The effect is known as spin-orbit torque (SOT) and describes the transfer of angular momentum onto an adjacent magnetization either by the spin Hall effect (SHE) or inverse spin galvanic effect (iSGE) [Manchon19]. The latter describes a spin accumulation due to a current. This is similar to the process of spin accumulation in TIs, where a current corresponds to an effective spin due to spin-momentum locking [Qi11]. Thus TIs exhibit a high current-to-spin conversion rate, which makes them a promising material system for SOT experiments. Among all TIs it is HgTe, which can be reliably grown as an insulator. This thesis covers the development of a working device for SOT measurements (SOT-device) in a CdTe/CdHgTe/HgTe/CdHgTe heterostructure. It involves the development of a tunnel barrier (ZrOx) as well as the investigation of the behavior of a ferromagnetic layer stack on top of etched HgTe. The main result of this work is the successful construction and evaluation of a working SOT-device, which exhibits the up to date most efficient switching of in-plane magnetized ferromagnetic layer stacks.
In order to avoid hybridization between HgTe and the adjacent ferromagnetic atoms, which would cause a breakdown of the topological surface state, it is necessary to implement a thin tunnel barrier in between the TI and free layer [Zhang16]. Aside from hybridization a tunnel barrier avoids shunting of the current, that is pushed on the surface of the HgTe/CdHgTe interface. Thus a bigger part of the current can be used for spin accumulation and, at the same time, the resistance measurement of the ferromagnetic layer stack is not perturbed. In chapter 3 the focus is set on investigating the tunneling characteristics of ZrOx on top of dry etched HgTe. Thin barriers are used as the interaction of the current generated spin and the adjacent magnetization decreases with distance. On the other hand too small insulator thicknesses lead to leakage currents which disturb heavily the measurement of the resistance of the ferromagnetic layer stack. Thus an optimum thickness of 10 ALD cycles (\(d\approx 1.6\rm\, nm\)) is determined which yields a resistance area product of \(R\cdot A \approx 3\rm\, k\Omega\mu m^{2}\). This corresponds to a tunneling resistance of \(R_{T}\approx 20\rm\, k\Omega\) over a structure surface of \(A_{T} = 0.12\rm\, \mu m^2\). Multiple samples with different thicknesses have been produced. All samples have been examined on their tunneling behavior. The resistance area product as a function of thickness shows a linear behavior on a logarithmic scale. Furthermore all working samples show non-linear I-V curves as well as parabolic dI/dV-curves. Additionally the tunneling resistance \(R_{T}\) increases with decreasing temperature. All above mentioned properties are typical for tunnel barriers which do not include pinholes [Jonsson00]. The last part of chapter 3 deals with thermal properties of HgTe. By measuring the second harmonic of a biasing AC current in the channel below the tunnel barrier it is attempted to extract the diffusion thermopower of the heated electrons. Unfortunately the measured signal showed a far superior contribution of the first harmonic. According to electric circuit simulations a small asymmetry in the barrier (penetration and leaving point of electrons) could be responsible for this behavior.
A ferromagnetic layer stack, consisting of PY/Cu/CoFe, serves as a sensor for magnetization changes due to external fields and current induced spin accumulations. The layer stack exhibits a giant magnetoresistance (GMR) which has been measured by a resistance bridge. The biggest peculiarity in depositing a GMR stack on top of HgTe is that its easy axis forms along only one of the crystal axes (\((110)\) or \((1\overline{1}0)\)). The reason for this anisotropy is still unclear. Sources such as an influence of the terminating material, miscut, furrows during IBE or sputter ripples have been ruled out. It can be speculated that the surface states due to HgTe might have an influence on the development of this easy axis but this would need further investigation. A consequence of this unexpected anisotropy is that every CdTe/CdHgTe/HgTe/CdHgTe wafer has first to be characterized in SQUID in order to find the easy axis. A ferromagnetic resonance (FMR) measurement confirmed this observation. The shape of the ferromagnetic layer stack is chosen to be an ellipse in order to support the easy axis direction by shape anisotropy. Over 8 million ellipses are used to generate a SQUID signal of \(m > 10^{-5}\rm\, emu\). This is sufficient to extract the main characteristics of an average nano pillar under the influence of an external magnetic field. As in the case of bigger structures the ellipse shaped structure shows a step-like behavior. A measured minor loop confirms the existence of the irreversible anti-parallel stable magnetic state. Furthermore this state persists for both directions at \(m=0\) resulting in an anti-ferromagnetic coupling between Py and CoFe.
The geometry of the SOT-device is chosen in such a way that the current induced spin aligns either parallel or anti-parallel to the effective magnetic field \(\vec{B}_{eff}=\vec{B}_{ext}+\vec{B}_{aniso}+\vec{B}_{shape}\), which acts on the pillar. Due to interaction of the spin with the adjacent magnetization of Py the magnetization direction gets changed by a torque \(\vec{T}\). In general this torque can be decomposed into two components a field-like torque \(\vec{\tau}_{FL}\) and a damping-like torque \(\vec{\tau}_{DL}\) [Manchon19]. In the case of TIs \(\vec{T}\) is additionally depending on the z-component of \(\vec{m}\) [Ndiaye17]. In our case the magnetization is lying in the sample plane (\(m_{z}=0\)) which results in \(\vec{\tau}_{DL}=0\). Thus, in the case of \(\vec{S}\parallel\left(\vec{\hat{z}}\times\vec{j}\right)\) and \(\vec{j}\parallel\vec{\hat{y}}\), the only spin dependent effective magnetic field is \(\vec{B}_{FL}=\tau_{FL}\cdot\vec{\hat{x}}\) which is lying parallel or anti-parallel to \(\vec{B}_{eff}\). The evaluation of \(\vec{B}_{FL}\) can therefore be done in the following manner. First a high \(B_{ext}\) has to be set along the easy axis of the pillar. Then \(B_{ext}\) has to be reduced just a few \(\rm\, Oe\) before the switching occurs at the magnetic field \(B_{ext,0}\). At the magnetic field \(\Delta B = B_{ext}-B_{ext,0}\approx 0.5\rm\, Oe\) the lower resistive state should be stable over a longer time range (\(10-30\rm\, min\)) in order to exclude switching due to fluctuations. Now a positive or negative current can be pushed through the channel below the pillar. For one of the two current directions the magnetization of Py switches. It is therefore not a thermal effect that drives the change of \(\vec{m}\). Current densities that are able to switch \(\vec{m}\) at small \(\Delta B\neq 0\) lie in the range of \(j\approx 10^{4}\rm\, A/cm^{2}\). In all experiments the switching efficiency \(\Delta B/j\) decreases with rising \(j\). Furthermore the efficiency as a function of \(j\) depends on the temperature as \(\Delta B/j\) values tend to be up to 20 times higher at \(T=1.8\rm\, K\) and \(j\approx 0\) than at \(T=4.2\rm\, K\). This temperature dependence suggests that switching occurs not due to Oersted fields. Furthermore the Biot-Savart fields had been calculated for four different models: an infinite long rectangular wire, two infinite planes, a full volume and two thin volume planes. Every model shows an efficiency, which is at least three times lower than the observation.
The highest efficiencies in our samples show up to 10 times higher values than in heavy-metal/ferromagnets heterostructures. In contrast to measurement procedures of most other groups our method leads to direct determination of SOT parameters like the effective magnetic field \(\vec{B}_{FL}\). Other groups make use of spin-transfer FMR (ST-FMR) where they AC bias their structure and extract SOT parameters (like \(\tau_{FL}\) and \(\tau_{DL}\)) from second harmonics by fitting theoretical models. Material systems consisting of TIs and magnetic insulators (MIs) on the other hand show 10 times higher efficiencies [Khang18,Li19]. In those cases the magnetization points out of the sample plane which is conceptually different from in-plane magnetic anisotropy geometries like in our case. The greatest benefit in-plane magnetic anisotropy systems is its easy realisation [Bhatti17]. Here only an elliptical shape has to be lithographically implemented instead of conducting research on the appropriate combination of material systems that result in perpendicular magnetic anisotropies [Apalkov16]. Despite the fact that in our case only \(\vec{\tau}_{FL}\) acts as the driving force for changing \(m\) our device still exhibits the up to date highest efficiencies in the class of in-plane magnetized anisotropies of all material classes ever recorded.
Digitization and artificial intelligence are radically changing virtually all areas across business and society. These developments are mainly driven by the technology of machine learning (ML), which is enabled by the coming together of large amounts of training data, statistical learning theory, and sufficient computational power. This technology forms the basis for the development of new approaches to solve classical planning problems of Operations Research (OR): prescriptive analytics approaches integrate ML prediction and OR optimization into a single prescription step, so they learn from historical observations of demand and a set of features (co-variates) and provide a model that directly prescribes future decisions. These novel approaches provide enormous potential to improve planning decisions, as first case reports showed, and, consequently, constitute a new field of research in Operations Management (OM).
First works in this new field of research have studied approaches to solving comparatively simple planning problems in the area of inventory management. However, common OM planning problems often have a more complex structure, and many of these complex planning problems are within the domain of capacity planning. Therefore, this dissertation focuses on developing new prescriptive analytics approaches for complex capacity management problems. This dissertation consists of three independent articles that develop new prescriptive approaches and use these to solve realistic capacity planning problems.
The first article, “Prescriptive Analytics for Flexible Capacity Management”, develops two prescriptive analytics approaches, weighted sample average approximation (wSAA) and kernelized empirical risk minimization (kERM), to solve a complex two-stage capacity planning problem that has been studied extensively in the literature: a logistics service provider sorts daily incoming mail items on three service lines that must be staffed on a weekly basis. This article is the first to develop a kERM approach to solve a complex two-stage stochastic capacity planning problem with matrix-valued observations of demand and vector-valued decisions. The article develops out-of-sample performance guarantees for kERM and various kernels, and shows the universal approximation property when using a universal kernel. The results of the numerical study suggest that prescriptive analytics approaches may lead to significant improvements in performance compared to traditional two-step approaches or SAA and that their performance is more robust to variations in the exogenous cost parameters.
The second article, “Prescriptive Analytics for a Multi-Shift Staffing Problem”, uses prescriptive analytics approaches to solve the (queuing-type) multi-shift staffing problem (MSSP) of an aviation maintenance provider that receives customer requests of uncertain number and at uncertain arrival times throughout each day and plans staff capacity for two shifts. This planning problem is particularly complex because the order inflow and processing are modelled as a queuing system, and the demand in each day is non-stationary. The article addresses this complexity by deriving an approximation of the MSSP that enables the planning problem to be solved using wSAA, kERM, and a novel Optimization Prediction approach. A numerical evaluation shows that wSAA leads to the best performance in this particular case. The solution method developed in this article builds a foundation for solving queuing-type planning problems using prescriptive analytics approaches, so it bridges the “worlds” of queuing theory and prescriptive analytics.
The third article, “Explainable Subgradient Tree Boosting for Prescriptive Analytics in Operations Management” proposes a novel prescriptive analytics approach to solve the two capacity planning problems studied in the first and second articles that allows decision-makers to derive explanations for prescribed decisions: Subgradient Tree Boosting (STB). STB combines the machine learning method Gradient Boosting with SAA and relies on subgradients because the cost function of OR planning problems often cannot be differentiated. A comprehensive numerical analysis suggests that STB can lead to a prescription performance that is comparable to that of wSAA and kERM. The explainability of STB prescriptions is demonstrated by breaking exemplary decisions down into the impacts of individual features. The novel STB approach is an attractive choice not only because of its prescription performance, but also because of the explainability that helps decision-makers understand the causality behind the prescriptions.
The results presented in these three articles demonstrate that using prescriptive analytics approaches, such as wSAA, kERM, and STB, to solve complex planning problems can lead to significantly better decisions compared to traditional approaches that neglect feature data or rely on a parametric distribution estimation.
An N-heterocyclic-carbene-stabilized diboryne undergoes rapid, high-yielding and catalyst-free hydroamina- tion reactions with primary amines, yielding 1-amino-2-hydro- diborenes, which can be considered boron analogues of enamines. The electronics of the organic substituent at nitrogen influence the structure and further reactivity of the diborene product. With electron-rich anilines, a second hydroamination can occur at the diborene to generate 1,1-diamino-2,2-dihy- drodiboranes. With isopropylamine, the electronic influence of the alkyl substituent upon the diborene leads to an unprece- dented boron-mediated intramolecular N-dearylation reaction of an N-heterocyclic carbene unit.