Superfluid and antiferromagnetic phases in ultracold fermionic quantum gases

In this thesis several models are treated, which are relevant for ultracold fermionic quantum gases loaded onto optical lattices. In particular, imbalanced superfluid Fermi mixtures, which are considered as the best way to realize Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states experimentally, and antiferromagnetic states, whose experimental realization is one of the next major goals, are examined analytically and numerically with the use of appropriate versions of the Hubbard model.rnrnThe usual Bardeen-Cooper-Schrieffer (BCS) superconductor is known to break down in a magnetic field with a strength exceeding the size of the superfluid gap. A spatially inhomogeneous spin-imbalanced superconductor with a complex order parameter known as FFLO-state is predicted to occur in translationally invariant systems. Since in ultracold quantum gases the experimental setups have a limited size and a trapping potential, we analyze the realistic situation of a non-translationally invariant finite sized Hubbard model for this purpose. We first argue analytically, why the order parameter should be real in a system with continuous coordinates, and map our statements onto the Hubbard model with discrete coordinates defined on a lattice. The relevant Hubbard model is then treated numerically within mean field theory. We show that the numerical results agree with our analytically derived statements and we simulate various experimentally relevant systems in this thesis.rnrnAnalogous calculations are presented for the situation at repulsive interaction strength where the N'eel state is expected to be realized experimentally in the near future. We map our analytical results obtained for the attractive model onto corresponding results for the repulsive model. We obtain a spatially invariant unit vector defining the direction of the order parameter as a consequence of the trapping potential, which is affirmed by our mean field numerical results for the repulsive case. Furthermore, we observe domain wall formation, antiferromagnetically induced density shifts, and we show the relevant role of spin-imbalance for antiferromagnetic states.rnrnSince the first step for understanding the physics of the examined models was the application of a mean field approximation, we analyze the effect of including the second order terms of the weak coupling perturbation expansion for the repulsive model. We show that our results survive the influence of quantum fluctuations and show that the renormalization factors for order parameters and critical temperatures lead to a weaker influence of the fluctuations on the results in finite sized systems than on the results in the thermodynamical limit. Furthermore, in the context of second order theory we address the question whether results obtained in the dynamical mean field theory (DMFT), which is meanwhile a frequently used method for describing trapped systems, survive the effect of the non-local Feynman diagrams neglected in DMFT.

Lokalisation und Quantifizierung von 4-Hydroxynonenal in der Kochlea des Meerschweinchens nach Applikation von Gentamicin

Einleitung und Literaturdiskussion: Gentamicin ist ein aus Bakterien gewonnenes Aminoglykosid-Antibiotikum, das seit vielen Jahren im klinischen Alltag zur Therapie von bakteriellen Infektionen und zur Behandlung des Morbus Ménière eingesetzt wird. Ein bedeutender, jedoch noch nicht vollständig verstandener, Pathomechanismus ist dabei die Entstehung von 4-HNE durch Lipid Peroxidation und die konsekutive Schädigung durch das gebildete Aldehyd. Ziel dieser Arbeit war es, die Beeinflussung der Expression von 4-HNE in sieben verschiedenen Regionen der Kochlea (SV, SL, CO, NF, LF, IDZ und SGZ) durch Gentamicin zu beschreiben und quantitativ zu ermitteln.rnMaterial und Methoden: Die Meerschweinchen wurden in vier Gruppen unterteilt: eine unbehandelte Kontrollgruppe und je eine Gruppe 1, 2 und 7 Tage nach Gentamicin-Applikation. Nach Ablauf der Inkubationszeit wurden die Kochleae den Tieren entnommen, das Gewebe fixiert, geschnitten und auf Objektträgern aufgebracht. Die Schnitte wurden mit 4-HNE-Antikörpern behandelt und die Immunreaktion mikroskopisch lokalisiert und zelluläre quantitative Unterschiede am Computer berechnet.rnErgebnisse: Die Auswertung der Daten ergab signifikante Anstiege der Immunreaktion auf 4-HNE von der Kontrollgruppe zu allen drei Behandlungsgruppen in vier der sieben untersuchten Regionen (Stria vascularis, Spirales Ligament, Cortisches Organ und Nervenfasern). In zwei Bereichen (Fibrozyten im Limbus und Interdentalzellen) kam es zwischen Kontrollgruppe und nur einer Behandlungsgruppe D (7d) zu einer signifikanten Erhöhung. Lediglich die Spiralganglionzellen erbrachten keine signifikanten Differenzen. Der Vergleich der Einzelwindungen erbrachte für die Stria vascularis, das Spirale Ligament, das Cortische Organ und die Nervenfasern signifikante Anstiege innerhalb der drei Windungen von der Kontrollgruppe zu den drei Behandlungsgruppen. Bei der Stria vascularis zeigte sich als einzige Region eine signifikant erhöhte Immunfärbung in allen drei Einzelwindungen von der Kontrollgruppe zu allen Behandlungsgruppen. Beim Vergleich der Gesamtwindungen ließ sich ausschließlich für die Region der Stria vascularis von der ersten zur dritten Windung ein Anstieg der Braunfärbung feststellen. Zudem konnten Korrelationen der Färbeintensitäten einerseits zwischen den beiden Regionen der Lateralen Wand und andererseits zwischen zwei Zelltypen im Limbus aufgezeigt werden.rnDiskussion: Die durch Gentamicin-gesteigerte 4-HNE-Expression kann durch genomische und nicht-genomische Prozesse hervorgerufen werden.

Functional characterization of the placenta specific protein PLAC1 and its use for cancer immunotherapy

Summary Antibody-based cancer therapies have been successfully introduced into the clinic and have emerged as the most promising therapeutics in oncology. The limiting factor regarding the development of therapeutical antibody vaccines is the identification of tumor-associated antigens. PLAC1, the placenta-specific protein 1, was categorized for the first time by the group of Prof. Sahin as such a tumor-specific antigen. Within this work PLAC1 was characterized using a variety of biochemical methods. The protein expression profile, the cellular localization, the conformational state and especially the interacting partners of PLAC1 and its functionality in cancer were analyzed. Analysis of the protein expression profile of PLAC1 in normal human tissue confirms the published RT-PCR data. Except for placenta no PLAC1 expression was detectable in any other normal human tissue. Beyond, an increased PLAC1 expression was detected in several cancer cell lines derived of trophoblastic, breast and pancreatic lineage emphasizing its properties as tumor-specific antigen. rnThe cellular localization of PLAC1 revealed that PLAC1 contains a functional signal peptide which conducts the propeptide to the endoplasmic reticulum (ER) and results in the secretion of PLAC1 by the secretory pathway. Although PLAC1 did not exhibit a distinct transmembrane domain, no unbound protein was detectable in the cell culture supernatant of overexpressing cells. But by selective isolation of different cellular compartments PLAC1 was clearly enriched within the membrane fraction. Using size exclusion chromatography PLAC1 was characterized as a highly aggregating protein that forms a network of high molecular multimers, consisting of a mixture of non-covalent as well as covalent interactions. Those interactions were formed by PLAC1 with itself and probably other cellular components and proteins. Consequently, PLAC1 localize outside the cell, where it is associated to the membrane forming a stable extracellular coat-like structure.rnThe first mechanistic hint how PLAC1 promote cancer cell proliferation was achieved identifying the fibroblast growth factor FGF7 as a specific interacting partner of PLAC1. Moreover, it was clearly shown that PLAC1 as well as FGF7 bind to heparin, a glycosaminoglycan of the ECM that is also involved in FGF-signaling. The participation of PLAC1 within this pathway was approved after co-localizing PLAC1, FGF7 and the FGF7 specific receptor (FGFR2IIIb) and identifying the formation of a trimeric complex (PLAC1, FGF7 and the specific receptor FGFR2IIIb). Especially this trimeric complex revealed the role of PLAC1. Binding of PLAC1 together with FGF7 leads to the activation of the intracellular tyrosine kinase of the FGFR2IIIb-receptor and mediate the direct phosphorylation of the AKT-kinase. In the absence of PLAC1, no FGF7 mediated phosphorylation of AKT was observed. Consequently the function of PLAC1 was clarified: PLAC1 acts as a co-factor by stimulating proliferation by of the FGF7-FGFR2 signaling pathway.rnAll together, these novel biochemical findings underline that the placenta specific protein PLAC1 could be a new target for cancer immunotherapy, especially considering its potential applicability for antibody therapy in tumor patients.

The dynamics of ultra-thin polymer films in different confinements studied by resonance enhanced dynamic light scattering

Die Kontroverse über den Glasübergang im Nanometerbereich, z. B. die Glas¬über¬gangs-temperatur Tg von dünnen Polymerfilmen, ist nicht vollständig abgeschlossen. Das dynamische Verhalten auf der Nanoskala ist stark von den einschränkenden Bedingungen abhängig, die auf die Probe wirken. Dünne Polymerfilme sind ideale Systeme um die Dynamik von Polymerketten unter der Einwirkung von Randbedingungen zu untersuchen, wie ich sie in dieser Arbeit variiert habe, um Einblick in dieses Problem zu erhalten.rnrnResonanzverstärkte dynamische Lichtstreuung ist eine Methode, frei von z.B. Fluoreszenzmarkern, die genutzt werden kann um in dünnen Polymerfilmen dynamische Phänomene