Simulation studies of correlation functions and relaxation in polymeric systems

We investigate the statics and dynamics of a glassy,non-entangled, short bead-spring polymer melt with moleculardynamics simulations. Temperature ranges from slightlyabove the mode-coupling critical temperature to the liquidregime where features of a glassy liquid are absent. Ouraim is to work out the polymer specific effects on therelaxation and particle correlation. We find the intra-chain static structure unaffected bytemperature, it depends only on the distance of monomersalong the backbone. In contrast, the distinct inter-chainstructure shows pronounced site-dependence effects at thelength-scales of the chain and the nearest neighbordistance. There, we also find the strongest temperaturedependence which drives the glass transition. Both the siteaveraged coupling of the monomer and center of mass (CM) andthe CM-CM coupling are weak and presumably not responsiblefor a peak in the coherent relaxation time at the chain'slength scale. Chains rather emerge as soft, easilyinterpenetrating objects. Three particle correlations arewell reproduced by the convolution approximation with theexception of model dependent deviations. In the spatially heterogeneous dynamics of our system weidentify highly mobile monomers which tend to follow eachother in one-dimensional paths forming ``strings''. Thesestrings have an exponential length distribution and aregenerally short compared to the chain length. Thus, arelaxation mechanism in which neighboring mobile monomersmove along the backbone of the chain seems unlikely.However, the correlation of bonded neighbors is enhanced. When liquids are confined between two surfaces in relativesliding motion kinetic friction is observed. We study ageneric model setup by molecular dynamics simulations for awide range of sliding speeds, temperatures, loads, andlubricant coverings for simple and molecular fluids. Instabilities in the particle trajectories are identified asthe origin of kinetic friction. They lead to high particlevelocities of fluid atoms which are gradually dissipatedresulting in a friction force. In commensurate systemsfluid atoms follow continuous trajectories for sub-monolayercoverings and consequently, friction vanishes at low slidingspeeds. For incommensurate systems the velocity probabilitydistribution exhibits approximately exponential tails. Weconnect this velocity distribution to the kinetic frictionforce which reaches a constant value at low sliding speeds. This approach agrees well with the friction obtaineddirectly from simulations and explains Amontons' law on themicroscopic level. Molecular bonds in commensurate systemslead to incommensurate behavior, but do not change thequalitative behavior of incommensurate systems. However,crossed chains form stable load bearing asperities whichstrongly increase friction.

Tail bridging vs. patchiness

The subject of this thesis are the interactions between nucleosome core particles (NCPs). NCPs are the primary storage units of DNA in eucaryotic cells. Each NCP consists of a core of eight histone proteins and a strand of DNA, which is wrapped around about two times. Each histone protein has a terminal tail passing over and between the superhelix of the wrapped DNA. Special emphasis was placed on the role of the histone tails, since experimental ndings suggest that the tails have a great in uence on the mutual attraction of the NCPs. In those experiments Mangenot et al. observe a dramatic change in the con guration of the tails, which is accompanied by evidence of mutual attraction between NCPs, when a certain salt concentration is reached. Existing models used in the theoretical approaches and in simulations focus on the description of the histone core and the wrapped DNA, but neglect the histone tails. We introduce the multi chain complex as a new simulation model. Here the histone core and the wrapping DNA are modelled via a charged sphere, while the histone tails are represented by oppositely charged chains grafted on the sphere surface. We start by investigating the parameter space describing a single NCP. The Debye-Huckel potential is used to model the electrostatic interactions and to determine the e ective charge of the NCP core. This value is subsequently used for a study of the pairinteraction of two NCPs via an extensive Molecular Dynamics study. The monomer distribution of the full chain model is investigated. The existence of tail bridges between the cores is demonstrated. Finally, by discriminating between bridging and non-bridging con gurations, we can show that the effect of tail bridging between the spheres does indeed account for the observed attraction. The full chain model can serve as a model to study the acetylation of the histone tails of the nucleosome. The reduction of the charge fraction of the tails, that corresponds to the process of acetylation, leads to a reduction or even the disappearance of the attraction. A recent MC study links this e ect to the unfolding of the chromatin ber in the case of acetylated histone tails. In this case the acetylation of the histone tails leads to the formation of heterochromatin, and one could understand how larger regions of the genetic information could be inactivated through this mechanism.

C 3-symmetric discotic liquid crystalline materials for molecular electronics: versatile synthesis and self-organization

This thesis presents the versatile synthesis and self-organization of C3-symmetric discotic nanographene molecules as well as their potential applications as materials in molecular electronics. The details can be described as follows: 1) A novel synthetic strategy towards properly designed C3 symmetric 1,3,5-tris-2’arylbenzene precursors has been developed. After the final planarization by treatment with FeCl3 under mild conditions, for the first time, it became possible to access a variety of new C3-symmetric hexa-peri-hexabenzocoronenes (HBCs) and a series of triangle-shaped nanographenes. D3 symmetric HBC with three alkyl substituents and C2 symmetric HBC with two alkyl substituents were synthesized and found to show the surprising decrease of isotropic points., the self-assembly at the liquid-solid interface displayed a unique zigzag and flower patterns. 2) Triangle-shaped discotics revealed a unique self-assembly behavior in solution, solid state as well as at the solution-substrate interface. A mesophase stability over the broad temperature range with helical supramoelcular arrangement were observed in the bulk state. The honeycomb pattern as the result of novel self-assembly was presented. Triangle-shaped discotics with swallow alkyl tails were fabricated into photovoltaic devices, the supramolecular arrangement upon thermal treatment was found to play a key role in the improvement of solar efficiency. 3) A novel class of C3 symmetric HBCs with alternating polar/apolar substituents was synthesized. Their peculiar self-assembly in solution, in the bulk and on the surface were investigated by NMR techniques, X-ray diffraction as well as different electron microscope techniques. 4) A novel concept for manipulating the intracolumnar stacking of discotics and thus for controlling the helical pitch was presented. A unique staggered stacking in the column was achieved for the first time. Theoretical simulations confirmed this self-organization and predicted that this packing should show the highest charge carrier mobility for all discotics.

Funktionelle Analyse der Meprin-Metalloproteasen alpha und beta hinsichtlich ihrer physiologischen Regulation und biologischen Bedeutung

Im Rahmen dieser Arbeit ist es gelungen, ein besseres Verständnis der beiden Metalloproteasen Meprin α und β in ihrem proteolytischen Netzwerk hinsichtlich ihrer physiologischen Regulation durch endogene Inhibitoren, wie auch der biologischen Funktion von Meprin α für den Prozess der Angiogenese, zu erlangen. rnMit der Analyse des ersten identifizierten endogenen Meprin-Inhibitors Fetuin-A gelang die Bestimmung der Ki-Werte für Meprin α mit 4,2 x 10-5 M und 1,1 x 10-6 M für Meprin β. Des Weiteren konnte für Meprin β eine Schnittstelle im Fetuin-A validiert werden. Mit der Identifizierung von Cystatin C, einem Cystein-Protease-Inhibitor als endogener Inhibitor der Metalloprotease Meprin α, mit einem Ki-Wert von 8,5 x 10-6 M, wurden erstmals Proteasefamilie-übergreifende Inhibitionsmechanismen für Metalloproteasen offenbart.rnDie Analyse von drei potentiellen Meprin-Inhibitoren, identifiziert als Substrate in einem neuen Proteomics-Analyse-Verfahren terminal amine isotopic labeling of substrates (TAILS), ermöglichte die Charakterisierung von Elafin als spezifischen Meprin α-Inhibitor. Für Elafin ist es außerdem gelungen, die durch TAILS ermittelte Schnittstelle für Meprin α mittels Edman Sequenzierung zu validieren. Der secretory leukocyte peptidase inhibitor (SLPI), ein Elafin-Homolog, konnte als weiteres Meprin α-Substrat bestätigt werden. Außerdem gelang es, die Meprin α-Schnittstelle im SLPI zu validieren.rnEin weiteres Ziel dieser Arbeit war, ein besseres Verständnis der biologischen Funktion der Metalloprotease Meprin α zu erlangen. Hier konnte in vivo eine stark pro-angiogene Wirkung von Meprin α gezeigt werden und erstmals die Expression von Meprin α, jedoch nicht von Meprin β, in Endothelzellen nachgewiesen werden. Zugleich konnte mit der Analyse der durch die TAILS-Methode identifizierten pro-angiogenen Substrate vascular endothelial growth factor A (VEGF-A) und connective tissue growth factor (CTGF) der Regulationsmechanismus von Meprin α in der Angiogenese identifiziert werden. So ist Meprin α durch die Spaltung von CTGF in der Lage VEGF-A – gebunden und inhibiert im Komplex mit CTGF – durch proteolytische Spaltung von CTGF wieder freizusetzen. Somit wird die inhibierte VEGF-A-Aktivität wieder vollständig hergestellt. rnMit der Charakterisierung der ersten endogenen Meprin-Inhibitoren ist es gelungen, zu einem besseren Verständnis der endogenen Regulation der Meprine beizutragen und eine Proteasefamilie-übergreifende endogene Regulation aufzuzeigen. Mit der Entdeckung von Meprin α als pro-angiogene Protease und der Entschlüsselung des angiogenen Regulationsmechanismus konnte eine essentielle biologische Bedeutung dieser Protease beschrieben werden.rn