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This thesis presents the experimental and numerical analysis of seismic waves that are produced by wind farms. With the aim to develop renewable energies rapidly, the number of wind turbines has been increased in recent years. Ground motions induced by their operation can be observed by seismometers several kilometers away. Hence, the seismic noise level can be significantly increased at the seismic station. Therefore, this study combines long-term experiments and numerical simulations to improve the understanding of the seismic wavefields emitted by complete wind farms and to advance the prediction of signal amplitudes.
Firstly, wind-turbine induced signals that are measured at a small wind farm close to Würzburg (Germany) are correlated with the operational data of the turbines. The frequency-dependent decay of signal amplitudes with distance from the wind farm is modeled using an analytical method including the complex effects of interferences of the wavefields produced by the multiple wind turbines. Specific interference patterns significantly affect the wave propagation and therefore the signal amplitude in the far field of a wind farm. Since measurements inside the wind turbines show that the assumption of in-phase vibrating wind turbines is inappropriate, an approach to calculate representative seismic radiation patterns from multiple wind turbines, which allows the prediction of amplitudes in the far field of a complete wind farm, is proposed.
In a second study, signals with a frequency of 1.15 Hz, produced by the Weilrod wind farm (north of Frankfurt, Germany) are observed at the seismological observatory TNS (Taunus), which is located at a distance of 11 km from the wind farm. The propagation of the wavefield emitted by the wind farm is numerically modeled in 3D, using the spectral element method. It is shown that topographic effects can cause local signal amplitude reductions, but also signal amplification along the travel path of the seismic wave. The comparison of simulations with and without topography reveals that the reduction and amplification are spatially linked to the shape of the topography, which could be an explanation for the relatively high signal amplitude observed at TNS.
Finally, the reduction of the impact of wind turbines on seismic measurements using borehole installations is studied using 2D numerical models. Possible effects of the seismic velocity, attenuation, and layering of the subsurface are demonstrated. Results show that a borehole can be very effective in reducing the observed high-frequency signals emitted by wind turbines. However, a borehole might not be beneficial if signals with frequencies of about 1 Hz (or lower) are of interest, due significant wavelength-dependent effects. The estimations of depth-dependent amplitudes with a layered subsurface are validated with existing data from wind-turbine-induced signals measured at the top and bottom of two boreholes.
The experimental analysis of measurements conducted at wind farms and the advances of modeling such signals improve the understanding of the propagation of wind-farm induced seismic wave fields. Furthermore, the methods developed in this work have a high potential of universal application to the prediction of signal amplitudes at seismometers close to wind farms with arbitrary layout and geographic location.
The single-source shortest-path problem is a fundamental problem in computer science. We consider a generalization of the shortest-path problem, the $k$-shortest path problem. Let $G$ be a directed edge-weighted graph with $n$ nodes and $m$ edges and $s,t$ be two fixed nodes. The goal is to compute $k$ paths $P_1,\dots,P_k$ between two fixed nodes $s$ and $t$ in non-decreasing order of their length such that all other paths between $s$ and $t$ are at least as long as the $k$\nth path $P_k$. We focus on the version of the $k$-shortest path problem where the paths are not allowed to visit nodes multiple times, sometime referred to as $k$-shortest simple path problem.
The probably best known $k$-shortest path algorithm is Yen's algorithm. It has a worst-case time complexity of O(kn\cdot scp(n,m)), where scp(n,m) is the complexity of the single-source shortest-path algorithm used as a subroutine. In case of Dijkstra's algorithm scp(n,m) is O(m + n\log n). One of the more recent improvements of Yen's algorithm is by Feng.
Even though Feng's algorithm is much faster in practice, it has the same worst-case complexity as Yen's algorithm.
The main results presented in this thesis are upper bounds on the average-case of Yen's and Feng's algorithm, as well as practical improvements and a parallel implementation of Yen's and Feng's algorithms including these improvements. The implementation is publicly available under GPLv3 open source license.
We show in our analysis that Yen's algorithm has an average-case complexity of O(k \log(n)\cdot scp(n,m)) on G(n,p) graphs with at least logarithmic average-degree and random edge weights following a distribution with certain properties.
On G(n,p) graphs with constant to logarithmic average-degree and uniform random edge-weights over $[0;1]$, we show an average-case complexity of O(k\cdot\frac{\log^2 n}{np}\cdot scp(n,m)). Feng's algorithm has an even better average-case complexity of O(k\cdot scp(n,m)) on unweighted G(n,p) graphs with logarithmic average-degree and for constant values of $k$. We further provide evidence that the same holds true for G(n,p) graphs with uniform random edge-weights over $[0;1]$.
On the practical side, we suggest new heuristics to prune even more single-source shortest-path computations than Feng's algorithm and evaluate all presented algorithms on G(n,p) and Grid graphs with up to 256 million nodes. We demonstrate speedups by a factor of up to 40 compared to Feng's algorithm.
Finally we discuss two ways to parallelize the suggested algorithms and evaluate them on grid graphs showing speedups by a factor of 2 using 4 threads and by a factor of up to 8 using 16 threads, respectively.
The Nodular lymphocyte-predominant Hodgkin lymphoma (NLPHL) as well as the T-cell/histiocyte-rich large B-cell lymphoma (THRLBCL) are rare types of malignant lymphomas. Both NLPHL and THRLBCL are frequently observed in middle-aged men with THRLBCL presenting frequently with an advanced Ann-Arbor stage with B-symptoms and associated with more aggressive courses.3 However, due to the limited number of tumor cells in the tissue of both NLPHL and THRLBCL, limited numbers of studies have been conducted on these lymphomas and current results are mainly based on general molecular genetic studies.
In order to obtain a better understanding for these disease forms as well as possible changes in their nuclear and cytoplasmatic sizes, the following study relied on the comparison of the different NLPHL forms and THRLBCL in terms of nuclear size and nuclear volume. This was carried out using both 2D and 3D analysis. During the 2D analysis of nuclear size and nuclear volume no significant differences could be presented between those groups. However, the 3D analysis of NLPHL and THRLBCL pointed out a slightly enlarged nuclear volume in THRLBCL. Furthermore, the analysis indicated a significantly increased cytoplasmatic size of THRLBCL compared to NLPHL forms. Nevertheless, differences occurred not only between the tumor cells of both disease forms, but also the T cells presented a larger nuclear volume in THRLBCL. B cells, which were considered as the control group, did not demonstrate any significant differences between the different groups. The presented results suggest an increased activity of T cells in THRLBCL, which is most likely to be interpreted as a response against the surrounding tumor cells and probably limits the proliferation of the tumor cells. Based on these results, the importance of 3D analysis is also evident due to the fact that it is clearly superior to 2D analysis. For a better understanding of both disease forms, it is therefore recommended to use the 3D technique in combination with molecular genetic analysis in future research.
Subject of this thesis was the investigation of the actin-interacting and glucocorticoid-sensitive Protein DRR1 (or Fam107a) and its role in promoting stress resilience in the murine hippocampus.
We proposed the hypothesis that DRR1 through its actin-binding properties specifically modulates neuronal actin dynamics and promotes resilience through synaptic plasticity leading to subsequently improvement of cognitive performance and social behavior. The accompanied AMPA-receptor transport could create an efficient way regulating neural function and complex behavior during stress episodes.
By utilizing fluorescent immunohistochemistry, we showed basal expression of DRR1 primarily in the murine cerebellum and hippocampal CA3 and CA1 area. Co-staining with different cell marker proteins showed DRR1 expression in neurons, microglia and especially in astrocytic end-feet, which create contact to the brain vasculature.
To test whether DRR1 and AMPA receptor function correlate to modulate stress-associated consequences, primary hippocampal neuron cultures were transduced with adeno-associated virus (AAV) for overexpression or suppression of the protein. Western Blot analysis showed a positive correlation between the AMPA-receptor subunit GluR2 and DRR1 amounts. Further the application of the proximity ligation assay (PLA) in untreated neural cultures indicated interaction between DRR1 and the AMPA receptor subunit GluR2. To address whether DRR1 even affects AMPAR trafficking we performed the “newly inserted assay” after AAV-treatment of primary hippocampal neuron cultures. Suppression of DRR1 revealed less newly inserted GluR2 subunits as compared to controls. Inconclusive were the results upon DRR1 overexpression, however they point to no changes.
In the second part we correlated behavioral phenotypes originating from in vivo overexpression and suppression of DRR1 in the murine hippocampus with potential alterations in neuronal morphology. Therefore, in vitro analysis was performed utilizing AAV transduced primary hippocampal cultures overexpressing or suppressing DRR1. Synchronously the viral vector included a green fluorescent protein (GFP) being expressed throughout the complete neural cell. GFP staining was used to verify successful transfection and for reconstruction of dendritic arbors and dendritic stretches for spine classification. DRR1 suppression showed reduced total spine numbers especially evoked by reduced numbers of immature spine classes – namely long thin spines and filopodia. Whereas mature mushroom spines and stubby spines were unaffected. By overexpressing DRR1, tendencies inclined against higher total dendritic lengths, branch points and increased dendritic arbors in comparison to controls. In regard of spines, total numbers were unaffected. However, mature mushroom spines were significantly declined in numbers, but compensated by increased numbers of immature long thin spines and filopodia.
Chronic social defeat stress (CSDS) is widely used in mouse models to study the effects of stress and resilience. We exposed C57Bl/6J mice expressing GFP under the Thy1 promoter CSDS and categorized them into resilient (R+/-), susceptible (R-/-) and non-learning (R+/+) mice following a modified social interaction test (MSIT). We found alterations in CA1 spine compositions with resilient animals resembling the untreated phenotype. Stress susceptible and non-learning animals displayed reduced numbers in stubby spines with simultaneous increases in mature mushroom spines. In addition, we could detect a tendency towards more immature spines in susceptible animals and non-learners, mirroring our in vitro results.
Finally, we present a different investigative approach in this thesis. Sequenced acute stress was previously found to compromise cognition including spine loss.
We aimed to investigate the implication of acute stress on DRR1 levels and its occurrence in diverse cell types of the brain. We subjected one group of C57Bl/6J mice to acute stress and injected another group with the artificial glucocorticoid DEX. Six hours post stress, animals were perfused and brains were subsequently immunobiologically analyzed. We found DRR1 protein levels elevated in the hippocampus of stressed and DEX-treated animals compared to controls. Interestingly, DRR1 seemed was especially elevated in endothelial cells. This coincides with our investigations finding DRR1 present in astrocytic end-feet under basal conditions and might claim a participation of DRR1 in the blood-brain-barrier integrity.
Our results show DRR1 as actin-interacting and glucocorticoid-sensitive gene affecting structural plasticity of hippocampal spines. Moreover, DRR1 directly interacts with AMPA glutamate receptors and presumably is involved in AMPA trafficking to the postsynaptic membrane. In addition, this study could demonstrate that DRR1 is expressed by other cell types of the brain. Of special interest is DRR1’s occurrence in astrocytic end-feet and endothelial cells suggesting a role as integrator of cell-cell communication and to this end also acting as modifier of stress-induced consequences at the neurovascular unit.
In vivo data of chronically stressed mice displayed no phenotypic differences in hippocampal pyramidal neurons of resilient animals as compared to unstressed mice. Morphological alterations of spine structures were particularly visible in stress susceptible and non-learning animals. Integrating our findings with existing behavioral data, we can conclude that DRR1 plays a role in stress resilience whereby it needs to be expressed in a tightly managed homeostatic equilibrium.
The functional and molecular role of transglutaminase 2 in hematopoietic stem and progenitor cells
(2023)
Long-term repopulating hematopoietic stem cells (LT-HSCs) that reside in the bone marrow (BM) give rise to all blood cell types including erythrocytes, leukocytes and platelets. LT-HSCs are mainly quiescent during steady state hematopoiesis. LT-HSCs can process self-renewal to expand and maintain stemness, or commit to differentiation into short-term (ST) repopulating HSC and multipotent progenitors (MPPs). MPPs differentiate into oligopotent lineagerestricted progenitors which eventually produce all mature blood cell lineages, and thereby regenerate hematopoietic system.
Previous studies have shown in transcription profiles and quantitative PCR (qPCR) analysis that transglutaminase 2 (Tgm2) is one of the most upregulated genes in quiescent LT-HSCs in comparison to active HSCs, mobilized HSCs, ST-HSCs, MPPs, as well as leukemic stem cells (LSC). However, the reason why Tgm2 is strongly upregulated in dormant mouse LTHSCs and what the role of Tgm2 is in LT-HSCs has not been investigated yet.
Tgm2, encoded by the Tgm2 gene, is a multi-functional protein within the transglutaminase family. It has been found to be widely expressed inside and outside the cells. It consists of four domains and two functionally exclusive forms that are regulated by the Ca2+ and GTP concentration. Besides the most well-known transglutaminase enzymatic activity for transamidation, deamidation and crosslinking, Tgm2 acts also as a GTPase/ATPase, kinase, adhesion/scaffold protein, as well as disulfide isomerase. The role of Tgm2 in hematopoiesis remains elusive. Accordingly, the aim of this dissertation is to investigate the role of Tgm2 in murine hematopoiesis, especially in murine LT-HSCs.
Firstly, the expression of Tgm2 was analyzed in highly purified murine hematopoietic stem and progenitor cell (HSPC) populations. Low input label-free mass spectrometric proteomics and WES protein analysis confirmed the highly specific expression of Tgm2 in LT-HSCs at protein level. Already at the state of MPPs, Tgm2 protein was almost absent with further decline towards oligopotent progenitors. These results indicated Tgm2 as a specific protein marker for LT-HSCs, justifying the future generation of a fluorescent reporter mouse line based on endogenous Tgm2 tagging.
To delineate the functional and molecular role of Tgm2 in LT-HSCs, a conditional Tgm2 knockout mouse model was generated using the Mx1-Cre/loxP system, with the loxP sites flanking the coding exons of the catalytic domain of Tgm2. After PolyIC-mediated induction, a more than 95% knockout efficiency was observed in purified LT-HSCs and the protein expression of Tgm2 was confirmed to be vanished in the purified LT-HSCs from conditional Tgm2-KO mice. Conditional knockout mice are viable and show no aberrant organ functions.
In steady state condition, the distribution of mature blood cell lineages and immunophenotypically-defined HSPC populations within the BM, the mitochondrial potential of HSPCs reflected by the non-invasive cationic dye JC-1, as well as the cell cycle status of HSPCs mirrored by the intracellular Ki67 staining did not show any significant variations upon loss of Tgm2. However, the in vitro continuous observation of prospectivly isolated LT-HSCs by time-lapse microscopy-based cell tracking revealed a delayed entry into cell cycle with a two fold increased apoptosis rate after knocking out Tgm2, indicating Tgm2 expression might be essential for survival of LT-HSCs. Moreover, while the absence of Tgm2 in LT-HSCs did not influence differentiation and lineage choice in vitro, overexpression of Tgm2 in LT-HSCs resulted in an increase of the most immature subpopulation upon cultivation. All these features were not observed in Tgm2-deleted MPPs, suggesting Tgm2 playing a specific function at the level of LT-HSCs. Upon stress hematopoiesis, induced by the administration of 5-fluorouracil (5-FU), there was a trend towards delayed recovery of LT-HSCs lacking Tgm2. Although Tgm2 express specificly in LT-HSCs, two rounds of competitive BM serial transplantation displayed an equal overall engraftment and multi-lineage reconstitution of LT-HSCs from Tgm2-WT and Tgm2-KO mice in peripheral blood (PB), BM and spleens. Interestingly, LT-HSCs from Tgm2-KO mice reconstituted to more myeloid cells and fewer B cells in the first four weeks after primary transplantation, which disappeared at later time points.
Gene expression profiling and simultaneous single cell proteo-genomic profiling indicated that HSPCs and LT-HSCs from Tgm2-KO mice were transcriptionally more active. A heterogeneity of Tgm2 expression within Tgm2-WT LT-HSCs was revealed by single cell data. Commonly up-regulated genes in Tgm2-KO LT-HSCs and MPPs were significantly involved in regulation of transcription from RNA polymerase II promoter in response to stress, positive regulation of cell death as well as negative regulation of mitogen-activated protein kinase (MAPK) signaling pathways. In Tgm2-KO LT-HSCs, 136 up-regulated genes demonstrated an enrichment of genes involved in apoptosis, as well as negative regulation of MAPK signaling pathway.
Taken together, this dissertation shows that Tgm2 protein is highly specifically expressed in LT-HSCs, but not in subsequent progenitor populations. However, Tgm2 is not essential for differentiation and maturation of myeloid lineages, the proliferation and the long-term multilineage reconstitution potential of LT-HSCs after transplantation. Tgm2 might be involved in accurate stress response of LT-HSCs and the transition from LT-HSCs into MPPs, meaning that the absence of Tgm2 results in poor survival, myeloid bias upon transplantation, as well as slower recovery upon chemotherapeutic treatment.
Sphingolipids are not only structural components of cell membranes but can also act as signalling molecules in different pathways. Sphingolipid precursors, Ceramides (Cer), are synthesized de novo by six different synthases (CerS1-6) which generate Cer of different chain lengths. Cer can be further synthesized to glycosphingolipids and sphingomyelin. Cell membrane parts that are enriched in glycosphingolipids are so-called lipid rafts and can function as signalling platforms for different receptors, such like the T cell receptor (TCR). CD4+ T cells play a crucial role in the development of ulcerative colitis, a chronic inflammatory disease of the colon. As CerS3 expression was increased in the white blood cells of human colitis patients, the role of CerS3 in the TCR signalling and colitis was investigated in this dissertation. By lenti-viral transduction of a CerS3-shRNA into a CD4+ Jurkat cell line, it was shown that CerS3 has an impact on activated T cells. A decrease of different sphingolipids after T cell activation via CD2/3/28 activation beads and IL2 treatment was observed that was accompanied by an inhibition of Zap70 phosphorylation, an important protein of the TCR signalling. The impaired TCR signalling led to a diminished NFAT1 translocation into the nucleus which subsequently led to a reduced NFAT1- dependent TNFα release. Downregulation of CerS3 in primary CD4+ T cells, obtained from the blood of healthy volunteers, also showed a reduced release of pro-inflammatory cytokines after activation. This dissertation demonstrates a pivotal role for CerS3 in T cell function and highlights CerS3 as potential new target for T cell driven colitis.
Gravitropism is a fundamental process in plants that allows shoots to grow upward and roots to grow downward. Protein phosphorylation has been postulated to participate in the intricate signaling cascade of gravitropism. In order to elucidate the underlying mechanisms governing the gravitropic signaling and unearth novel protein constituents, an exhaustive investigation employing microgravity-induced phosphoproteomics was undertaken. The significantly phosphorylated proteins unraveled in this study can be effectively divided into two groups through clustering analysis. Furthermore, the elucidation of Gene Ontology (GO) enrichment analysis disclosed the conspicuous overrepresentation of these clustered phosphoproteins in cytoskeletal organization and in hormone-mediated responses intimately intertwined with the intricate phenomenon of gravitropism. Motif enrichment analysis unveiled the overrepresentation of [-pS-P-] and [-R-x-x-pS-] motifs. Notably, the [-pS-P-] motif has been suggested as the substrate for the Casein kinase II (CK II) and Cyclin-dependent kinase (CDK). Kinase-inhibitor assays confirmed the pivotal role played by CK II and CDK in root gravitropism. Mutant gravitropism assays validated the functional significance of identified phosphoproteins, with some mutants exhibiting altered bending kinetics using a custom-developed platform. The study also compared phosphoproteomics data from different platforms, revealing variations in the detected phosphopeptides and highlighting the impact of treatment differences. Furthermore, the involvement of TOR signaling in microgravity-induced phosphorylation changes was uncovered, expanding the understanding of plant gravitropism responses.
To fulfill the large-scale verification of interesting candidates from the phosphoproteomics study, a novel root and hypocotyl gravitropism phenotyping platform was developed. This platform integrated cost-effective hardware, including Raspberry Pi, a high-quality camera, an Arduino board, a rotation stage (obtained from Prof. Dr. Maik Böhmer), and programmable green light (modified by Sven Plath). In addition, through collaboration with a software developer, machine-learning-based software was developed for data analysis. This platform tested the gravitropic response of candidate mutants identified in the phosphoproteomics study. Furthermore, the capabilities of this platform were expanded to investigate tropisms in other species and organs. To find novel proteins that might act as partners of a key protein that is involved in gravitropism signaling, ALTERED RESPONSE TO GRAVITY 1 (ARG1), immunoprecipitation coupled with Mass Spectrometry (IP-MS) was performed and identified ARG1-LIKE1 (ARL1) as a potential interacting protein with ARG1. This interaction was further confirmed through in vivo pull-down assays and bimolecular fluorescence complementation assays. In addition, the interaction between ARG1 and HSP70-1 was also validated.
Overall, this thesis sheds light on the molecular components and signaling events involved in plant gravitropism. It contributes to existing knowledge and opens up new ways to investigate this fascinating area of plant biology.
Electrospinning is an advanced method for the generation of polymer-based fibers. This fabrication technique has gained great interest in the biomedical field in recent years due to its straightforward application and significant versatility of the resulting fiber mats. The process is carried out by dissolving a (biologically or synthetically derived) polymer or a combination of several polymers in a suitable inorganic or organic solvent and transferring these solutions into a syringe with a needle tip as a spinneret. The power source is connected to the syringe tip, allowing for the application of a high voltage to the polymer solution, and a metallic collector, often a rotating drum cylinder on which the yielded polymer fibers are deposited. The usual fiber diameters range between nano- and micrometers. The yielded fiber mats have distinct characteristics, such as a large surface area, mechanical stability, and good encapsulation efficiency. Therefore, the fiber mats can be used as a topical dosage form for a multitude of diseases (e.g., conjunctivitis, keratitis), as they can be easily applied on or into the human body to release the drug for a prolonged period of time. In addition, the fibers exhibit a high degree of resemblance with the human extracellular matrix, which consists predominantly of collagen fibrils. Therefore, the obtained fiber mats can also be employed as innovative substrates for the cultivation of cells. As a result, electrospinning is suitable for a wide range of applications in the biomedical context, specifically for the targeted, topical delivery of bioactives and also as a cell culture substrate for the cultivation of cells in an enhanced in vivo relevant situation.
One objective of this work was the development and characterization of drug-loaded electrospun fibers for application to the inflamed and infected eye to complement the existing therapy of eye drops as well as systemic administration of anti-infectives. In particular, the focus of the project was the development of ocular implants to treat a herpes simplex infection affecting the human cornea. Additionally, electrospun fibers, which immediately dissolve in the tear fluid upon application and prolong the contact time of the bioactives at the eye, were developed as a topical dosage form to treat bacterial conjunctivitis. An additional objective of this work was the development of electrospun fiber mats as an innovative substrate for the cultivation of human induced pluripotent stem cells to mimic the human blood-brain barrier in vitro. The final objective of the present work was establishing an analytical concept for the comprehensive characterization of electrospun fibers to obtain a greater comparability and reproducibility of data and results from different laboratories.
Herpes simplex keratitis is a viral disease of the cornea that can potentially lead to blindness. This disease commonly occurs after corneal transplantation. As the cornea is the most transplanted tissue worldwide, the incidence of this disease varies from 4.9% to 12.6% (high- and low-income countries). The current therapy involves the application of eye drops as many as six times a day, and in severe cases, the systemic use of antiviral agents is necessary but can cause serious side effects (e.g., renal failure). To prevent the occurrence of herpes simplex keratitis after transplantation, a biodegradable electrospun nanofiber mat with a sustained release of acyclovir was established. The rational development of the fibers was facilitated by correlating the surface wettability with the release kinetics of the individual polymers, which allowed for the successful generation of fiber mats releasing the bioactive acyclovir over three weeks. The molecularly dispersed drug is present as an amorphous solid dispersion within the PLGA-based polymer matrix. Evaluating the cell viability in in vitro models proved that neither acyclovir nor the polymers or the generated fiber mats caused any cytotoxicity. The mechanical stability of the fiber mats was evaluated to ensure adequate handling of the fibers during implantation. The findings demonstrated that the fiber mats exhibit direction-independent mechanical properties, and their mechanical load-bearing capacity is greater than that of an excised human cornea. As a result, the fiber mats are suitable for surgical implantation into the anterior chamber of the eye. An in vitro model of human keratinocytes was infected with herpes simplex virus to demonstrate the antiviral efficacy of the electrospun fiber mats. Immunostaining for two specific viral proteins demonstrated the spread of infection in the model. Hereby, it was found that the placebo- and drug-loaded fibers significantly slowed the spread of infection, which was quantified by plaque assay determination. This experiment revealed that the electrospun fibers exert a synergistic antiviral effect by simultaneously releasing acyclovir, which is a virustatic agent that inhibits the replication of the virus in infected cells, and adsorbing released viral particles onto the surface of the polymer fibers. This reduces the overall burden of released viral particles, which is associated with the severity of the infection outbreak. Thus, with the aid of electrospinning, an ocular implant was successfully generated, which is biodegradable over time and significantly reduces the viral particle burden in vitro. Hence, the fibers represent a potential alternative for the prevention of herpes simplex keratitis after corneal transplantation...
In this work I investigate two different systems - spin systems and charge-density-waves. The same theoretical method is used to investigate both types of system. My investigations are motivated by experimental investigations and the goal is to describe the experimental results theoretically. For this purpose I formulate kinetic equations starting from the microscopical dynamics of the systems.
First of all, a method is formulated to derive the kinetic equations diagrammatically. Within this method an expansion in equal-time connected correlation functions is carried out. The generating functional of connected correlations is employed to derive the method.
The first system to be investigated is a thin stripe of the magnetic insulator yttrium-iron-garnet (YIG). Magnons are pumped parametrically with an external microwave field. The motivation of my theoretical investigations is to explain the experimental observations. In a small parameter range close to the confluence field strength where confluence processes of two parametrically pumped magnons with the same wave vector becomes kinematically possible the efficiency of the pumping is reduced or enhanced depending on the pumping field strength. Because it is expected that that confluence and splitting processes of magnons are essential for the experimental observations I go beyond the kinetic theories that are conventionally applied in the context of parametric excitations in YIG and investigate the influence of cubic vertices on the parametric instability of magnons in YIG.
Furthermore, the influence of phonons is investigated. Usually in the literature these are taken into account as heat bath. Here, I want to explain experiments where an accumulation of magnetoelastic bosons - magnon-phonon-quasi-particles - has been observed. I employ the method of kinetic equations to investigate this phenomenon theoretically. The kinetic theory is able to reproduce the experimental observations and it is shown that the accumulation of magnetoelastic bosons is purely incoherent.
Finally, charge-density waves (CDW) in quasi-one-dimensional materials will be investigated. Charge-density waves emerge from a Peierls-instability and are a prime example for spontaneous symmetry breaking in solids. Again, the motivation for my theoretical investigations are an experiment where the spectrum of amplitude and phase phonon modes has been measured. Starting from the Fröhlich-Hamiltonian I derive kinetic equations and from these kinetic equations the equations of motion for the CDW order parameter can be derived. The frequencies and damping rates of amplitude and phase phonon modes will be derived from the linearized equations of motion. I compare my theory with existing methods. Furthermore, I also investigate the influence of Coulomb interaction.
This thesis investigates exotic phases within effective models for strongly interacting matter.
The focus lies on the chiral inhomogeneous phase (IP) that is characterized by a spontaneous breaking of translational symmetry and the moat regime, which is a precursor phenomenon exhibiting a non-trivial mesonic dispersion relation.
These phenomena are expected to occur at non-zero baryon densities, which is a parameter region that is mostly non-accessible to first-principle investigations of Quantum chromodynamics (QCD).
As an alternative approach, we consider the Gross-Neveu (GN) and Nambu-Jona-Lasinio (NJL) model within the mean-field approximation, which can be regarded as effective models for QCD.
We focus on two aspects of the moat regime and the IP in these models.
First, we investigate the influence of the employed regularization scheme in the (3+1)-dimensional NJL model, which is nonrenormalizable, i.e., the regulator cannot be removed.
We find that the moat regime is a robust feature under change of regularization scheme, while the IP is sensitive to the specific choice of scheme.
This suggests that the moat regime is a universal feature of the phase diagram of the NJL model, while the IP might only be an artifact of the employed regulator.
Second, we study the influence of the number of spatial dimensions on the emergence of the IP.
To this end, we investigate the GN model in noninteger spatial dimensions d.
We find that the IP and the moat regime are present for d < 2, while they are absent for d > 2.
This demonstrates the central role of the dimensionality of spacetime and illustrates the connection of previously obtained results in this model in integer number of spatial dimensions.
Moreover, this suggests that the occurrence of these phenomena in three spatial dimensions is solely caused by the finite regulator.
In summary, this thesis contributes to advancing our understanding of the phase structure of QCD, particularly regarding the existence and characteristics of inhomogeneous phases and the moat regime.
Even though the investigations are performed within effective models, they provide valuable insight into the aspects that are crucial for the formation of an inhomogeneous chiral condensate in fermionic theories.