Effect of mixing, particle interaction, and spatial dimension on the glass transition

In this thesis, the influence of composition changes on the glass transition behavior of binary liquids in two and three spatial dimensions (2D/3D) is studied in the framework of mode-coupling theory (MCT).The well-established MCT equations are generalized to isotropic and homogeneous multicomponent liquids in arbitrary spatial dimensions. Furthermore, a new method is introduced which allows a fast and precise determination of special properties of glass transition lines. The new equations are then applied to the following model systems: binary mixtures of hard disks/spheres in 2D/3D, binary mixtures of dipolar point particles in 2D, and binary mixtures of dipolar hard disks in 2D. Some general features of the glass transition lines are also discussed. The direct comparison of the binary hard disk/sphere models in 2D/3D shows similar qualitative behavior. Particularly, for binary mixtures of hard disks in 2D the same four so-called mixing effects are identified as have been found before by Götze and Voigtmann for binary hard spheres in 3D [Phys. Rev. E 67, 021502 (2003)]. For instance, depending on the size disparity, adding a second component to a one-component liquid may lead to a stabilization of either the liquid or the glassy state. The MCT results for the 2D system are on a qualitative level in agreement with available computer simulation data. Furthermore, the glass transition diagram found for binary hard disks in 2D strongly resembles the corresponding random close packing diagram. Concerning dipolar systems, it is demonstrated that the experimental system of König et al. [Eur. Phys. J. E 18, 287 (2005)] is well described by binary point dipoles in 2D through a comparison between the experimental partial structure factors and those from computer simulations. For such mixtures of point particles it is demonstrated that MCT predicts always a plasticization effect, i.e. a stabilization of the liquid state due to mixing, in contrast to binary hard disks in 2D or binary hard spheres in 3D. It is demonstrated that the predicted plasticization effect is in qualitative agreement with experimental results. Finally, a glass transition diagram for binary mixtures of dipolar hard disks in 2D is calculated. These results demonstrate that at higher packing fractions there is a competition between the mixing effects occurring for binary hard disks in 2D and those for binary point dipoles in 2D.

The role of EBI-3 in a murine model of lung metastases of melanoma

In dieser Arbeit wurde die Rolle des Epstein-Barr Virus induzierten Gens 3 in einem Mausmodel des durch B16-F10 Zellen hervorgerufenen metastasierenden Melanoms untersucht. Das von aktivierten antigenpräsentierenden Zellen exprimierte EBI-3 gehört zur Familie der löslichen Typ 1 Zytokinrezeptoren, weist eine hohe Homologie zur p40 Untereinheit des IL-12 auf und bildet zusammen mit p28 das IL-27. Die intravenöse Injektion der B16-F10 Zelllinie führte zu einer signifikanten Erniedrigung der Tumormetastasen in den EBI-3 defizienten Lungen sowie zu einer höheren Lebenserwartung dieser Mäuse im Vergleich zu den B6 Wildtypen. Darüber hinaus habe ich in den EBI-3 defizienten Mäusen eine verminderte VCAM-1 Expression auf den Endothelzellen der Lunge gefunden während Änderungen in der VEGF Expression nicht detektiert wurden. Der immunologische Hintergrund, der diesen therapeutischen Effekt hervorrief, konnte durch die T-Zellaktivierung durch die kürzlich neu beschriebene DC Population, welche Interferon-produzierende Killer Dendritische Zellen genannt werden (IK-DC), die zusätzlich von aktivierten und maturierten klassischen DCs unterstützt wurden, erklärt werden. IK-DCs von EBI-3 defizienten Mäusen produzierten höhere Mengen an IFN-g während die klassischen DCs MHC und co-stimulatorische Moleküle exprimierten, welche die Sekretion von IL-12 initiierten. Das Zusammenspiel der genannten Faktoren induzierte eine verstärkte CD4 und CD8 T-Zellantwort in den Lungen dieser Mäuse. Dies wiederum resultierte im TNF- und TRAIL abhängigen programmierten Zelltod der B16-F10 Melanomzellen in den Lungen der EBI-3 defizienten Mäuse, wohingegen sowohl weitere anti-apoptotische Mechanismen als auch T regulatorische Zellen keinen Einfluss auf die in den EBI-3 defizienten Mäusen beobachtete Tumorabwehr zu spielen scheint. Schlussendlich konnten EBI-3 defiziente CD8+ T-Zellen, welche zuvor mit Tumorantigen geprimed wurden, adoptiv in B6 Wildtypmäuse transferiert werden, was zeigte, dass diese Zellen in der Lage sind, die Tumormasse in den Empfängermäusen signifikant zu verringern. Zusammengefasst, demonstrieren diese Daten, dass das Blockieren von EBI-3 im metastasierenden Melanom ein vielversprechender Angriffspunkt in der Tumortherapie darstellt.

On the car sequencing problem: analysis and solution methods

This work deals with the car sequencing (CS) problem, a combinatorial optimization problem for sequencing mixed-model assembly lines. The aim is to find a production sequence for different variants of a common base product, such that work overload of the respective line operators is avoided or minimized. The variants are distinguished by certain options (e.g., sun roof yes/no) and, therefore, require different processing times at the stations of the line. CS introduces a so-called sequencing rule H:N for each option, which restricts the occurrence of this option to at most H in any N consecutive variants. It seeks for a sequence that leads to no or a minimum number of sequencing rule violations. In this work, CS’ suitability for workload-oriented sequencing is analyzed. Therefore, its solution quality is compared in experiments to the related mixed-model sequencing problem. A new sequencing rule generation approach as well as a new lower bound for the problem are presented. Different exact and heuristic solution methods for CS are developed and their efficiency is shown in experiments. Furthermore, CS is adjusted and applied to a resequencing problem with pull-off tables.

Periodicities in the Hodgkin-Huxley model and versions of this model with stochastic input

A field of computational neuroscience develops mathematical models to describe neuronal systems. The aim is to better understand the nervous system. Historically, the integrate-and-fire model, developed by Lapique in 1907, was the first model describing a neuron. In 1952 Hodgkin and Huxley [8] described the so called Hodgkin-Huxley model in the article “A Quantitative Description of Membrane Current and Its Application to Conduction and Excitation in Nerve”. The Hodgkin-Huxley model is one of the most successful and widely-used biological neuron models. Based on experimental data from the squid giant axon, Hodgkin and Huxley developed their mathematical model as a four-dimensional system of first-order ordinary differential equations. One of these equations characterizes the membrane potential as a process in time, whereas the other three equations depict the opening and closing state of sodium and potassium ion channels. The membrane potential is proportional to the sum of ionic current flowing across the membrane and an externally applied current. For various types of external input the membrane potential behaves differently. This thesis considers the following three types of input: (i) Rinzel and Miller [15] calculated an interval of amplitudes for a constant applied current, where the membrane potential is repetitively spiking; (ii) Aihara, Matsumoto and Ikegaya [1] said that dependent on the amplitude and the frequency of a periodic applied current the membrane potential responds periodically; (iii) Izhikevich [12] stated that brief pulses of positive and negative current with different amplitudes and frequencies can lead to a periodic response of the membrane potential. In chapter 1 the Hodgkin-Huxley model is introduced according to Izhikevich [12]. Besides the definition of the model, several biological and physiological notes are made, and further concepts are described by examples. Moreover, the numerical methods to solve the equations of the Hodgkin-Huxley model are presented which were used for the computer simulations in chapter 2 and chapter 3. In chapter 2 the statements for the three different inputs (i), (ii) and (iii) will be verified, and periodic behavior for the inputs (ii) and (iii) will be investigated. In chapter 3 the inputs are embedded in an Ornstein-Uhlenbeck process to see the influence of noise on the results of chapter 2.