Der Kern dieser Arbeit ist die Untersuchung von Wellenpaketen in periodischen Strukturen für unterschiedliche Dimensionen. Als asymptotische Skalierung betrachten wir Wellenpakete aus mehreren tragenden Blochwellen mit unterschiedlichen Gruppengeschwindigkeiten. Dadurch leiten wir ein Amplitudensystem erster Ordnung her, die Coupled Mode Gleichungen. Im eindimensionalen Fall haben die Coupled Mode Gleichungen eine Familie von lokalisierten Solitärwellen, welche durch die Geschwindigkeit para...

Recently, submicron particles have been discussed as a means to increase the bioavailability of poorly water-soluble drugs. Separation of these small particles is done with both fibre and membrane filters, as well as electrostatic precipitators. A major disadvantage of an electrostatic precipitator (ESP) is the agglomerate formation on the precipitation electrode. These agglomerates frequently show low bioavailability, due to the decreased specific surface area and poor wettability. In this w...

Zur Erfassung der rezeptiven grammatischen Kompetenzen liegt mit dem TROG-D (basierend auf dem englischsprachigen Test for Reception of Grammar; Bishop, 1989) ein anerkanntes Verfahren vor, das im Einzelsetting durchgeführt werden muss und so einschließlich Auswertung etwa eine halbe Stunde pro TeilnehmerIn beansprucht. In der vorliegenden Studie wurde ein auf dem TROG-D basierender Gruppentest erprobt, der den Einsatz beispielsweise in Schulklassen ermöglichen soll. Die überarbeitete Testver...

This paper is concerned with a priori error estimates for the local incremental minimization scheme, which is an implicit time discretization method for the approximation of rate-independent systems with non-convex energies. We first show by means of a counterexample that one cannot expect global convergence of the scheme without any further assumptions on the energy. For the class of uniformly convex energies, we derive error estimates of optimal order, provided that the Lipschitz const...

Using the theoretical framework of algebraic flux correction and invariant domain preserving schemes, we introduce a monolithic approach to convex limiting in continuous finite element schemes for linear advection equations, nonlinear scalar conservation laws, and hyperbolic systems. In contrast to fluxcorrected transport (FCT) algorithms that apply limited antidiffusive corrections to bound-preserving low-order solutions, our new limiting strategy exploits the fact that these solutions...

In a seminal paper Studden (1968) characterized c-optimal designs in regression models, where the regression functions form a Chebyshev system. He used these results to determine the optimal design for estimating the individual coefficients in a polynomial regression model on the interval [-1; 1] explicitly. In this note we identify the optimal design for estimating the individual coefficients in a polynomial regression model with no intercept (here the regression functions do not form a...

The calculation of the fiber orientation of short fiber-reinforced plastics with the Fokker–Planck equation requires a considerable numerical effort, which is practically not feasible for injection molding simulations. Therefore, only the fiber orientation tensors are determined, i.e., by the Folgar–Tucker equation, which requires much less computational effort. However, spatial fiber orientation must be reconstructed from the fiber orientation tensors in advance for structural simulations. I...

Die Dissertationsschrift Teilhabe durch performative Musikpraxis. Eine Untersuchung zur gesellschaftlichen Akzeptanz von Menschen mit Behinderung bei öffentlich musikalischen Auftritten setzt sich mit der Frage zur gesellschaftlichen Reaktion auf das Phänomen der Behinderung im Kontext von Musik und öffentlicher Kultur auseinander. Das Forschungs-projekt bezieht sich auf den außerschulischen Bereich der kulturellen Teilhabe und stützt sich auf Artikel 30 Abs. 2 der UN-BRK. Theoretisch knüpft ...

Fullerenes and their derivatives are of tremendous technological relevance. Synthetic access and application are still hampered by tedious purification protocols, peculiar solubility, and limited control over regioselective derivatization. We present a modular self-assembly system based on a new low-molecular-weight binding motif, appended by two palladium(II)-coordinating units of different steric demands, to either form a [Pd2L14]4+ cage or an unprecedented [Pd2L23(MeCN)2]4+ bowl (with L1 =...

Deregulation of cellular metabolism has been well established as one hallmark of cancer. Increased aerobic glycolysis in cancer cells, termed the Warburg effect, is associated with an overexpression of different glucose transporter isoforms, especially GLUT-1 but also GLUT-3. To date, numerous GLUT inhibitors have been reported to induce cell death in cancer, yet improvement of selectivity and potency as well as unspecific toxicity of such inhibitors remain major challenges. The piperazin-2-o...

Supramolecular coordination cages, assembled from square-planer cations (PdII or PtII) and banana-shaped ligands, have been widely studied in the past decades. Interests in this field gradually shifted from structure to function. This thesis explores the self-assembly of light-switchable homo- and hetero-leptic cages formed by Diarylethene (DAE) ligands which enable a fast photo-responsive interconversion between a flexible open form and rigid closed form of the chromophore backbone. In addit...

Cells continuously sense and respond to stimuli from the non-stationary environment. For this, they optimise processing of the perceived signals while maintaining continuous responsiveness. Cell surface receptors, such as the receptor tyrosine kinases, comprise the first layer of sensing. They translate the extracellular signal into internal activity using the protein interaction networks in which they are embedded. The proto-oncogenic epidermal growth factor receptor (EGFR) is a receptor ty...

In einer Wissensgesellschaft können Expertenquellen im Journalismus dazu beitragen, die Recherchetiefe der Berichterstattung zu erhöhen. In dieser Arbeit wird analysiert, in welchem Umfang und wie sie genutzt werden. Außerdem wird untersucht, inwieweit ihre Auswahl Vielfaltskriterien genügt. Auf Basis von Rent-Seeking sowie Qualität, Vielfalt und sozialer Homophilie im Journalismus wird die Berichterstattung der Süddeutschen Zeitung mit einer Kombination von klassischer Inhaltsanalyse und Tex...

In the area of type-based program synthesis, the decision problem of inhabitation (given a type environment Gamma and a type tau, is there a term M such that M can be assigned the type tau in Gamma?) corresponds to existence of a program (term M) that satisfies the given specification (type tau) under additional assumptions (type environment Gamma). Inhabitation in typed lambda-calculi can be seen as functional program synthesis from scratch. Complementarily, inhabitation in combinatory l...

Sirtuin 1 (SIRT1) enzyme regulates major cell activities, and its activation offers lucrative therapeutic potentials for aging diseases including Alzheimer’s disease (AD). Regarding the global aging society, continual attention has been given to various chemical scaffolds as a source for the discovery of novel SIRT1 activators since the discovery of the pioneer activator, resveratrol. Understanding structure-activity relationship (SAR) is essential for screening, designing as well as impr...