Modeling and simulation of fibrinogen and its adsorption behavior

In this thesis different approaches for the modeling and simulation of the blood protein fibrinogen are presented. The approaches are meant to systematically connect the multiple time and length scales involved in the dynamics of fibrinogen in solution and at inorganic surfaces. The first part of the thesis will cover simulations of fibrinogen on an all atom level. Simulations of the fibrinogen protomer and dimer are performed in explicit solvent to characterize the dynamics of fibrinogen in solution. These simulations reveal an unexpectedly large and fast bending motion that is facilitated by molecular hinges located in the coiled-coil region of fibrinogen. This behavior is characterized by a bending and a dihedral angle and the distribution of these angles is measured. As a consequence of the atomistic detail of the simulations it is possible to illuminate small scale behavior in the binding pockets of fibrinogen that hints at a previously unknown allosteric effect. In a second step atomistic simulations of the fibrinogen protomer are performed at graphite and mica surfaces to investigate initial adsorption stages. These simulations highlight the different adsorption mechanisms at the hydrophobic graphite surface and the charged, hydrophilic mica surface. It is found that the initial adsorption happens in a preferred orientation on mica. Many effects of practical interest involve aggregates of many fibrinogen molecules. To investigate such systems, time and length scales need to be simulated that are not attainable in atomistic simulations. It is therefore necessary to develop lower resolution models of fibrinogen. This is done in the second part of the thesis. First a systematically coarse grained model is derived and parametrized based on the atomistic simulations of the first part. In this model the fibrinogen molecule is represented by 45 beads instead of nearly 31,000 atoms. The intra-molecular interactions of the beads are modeled as a heterogeneous elastic network while inter-molecular interactions are assumed to be a combination of electrostatic and van der Waals interaction. A method is presented that determines the charges assigned to beads by matching the electrostatic potential in the atomistic simulation. Lastly a phenomenological model is developed that represents fibrinogen by five beads connected by rigid rods with two hinges. This model only captures the large scale dynamics in the atomistic simulations but can shed light on experimental observations of fibrinogen conformations at inorganic surfaces.

Non-aqueous dispersions of particles and their applications

In the current work, three studies about non-aqueous dispersions of particles were carried out by using an amphiphilic block copolymer poly(isoprene)-block-poly(methyl methacrylate) (PI-b-PMMA) as stabilizer:rn1. Dispersions of polyurethane and polyurea porous particles for polymer compositesrn2. Dispersions of PMMA and PU particles with PDI dye for study of Single Molecule Spectroscopy Detectionrn3. Dispersions of graphene nanosheets for polymer compositesrnrnIn the first study, highly porous polyurethane and polyurea particles were prepared in a non-aqueous emulsion. The preparation of porous particles consisted of two parts: At first, a system was developed where the emulsion had high stability for the polymerization among diisocyanate, diol and water. In the second part, porous particles were prepared by using two methods fission/fusion and combination by which highly porous particles were obtained. In this study, the applications of porous particles were also investigated where polyurethane particles were tested as filling material for polymer composites and as catalyst carrier for polyethylene polymerization. rnrnIn the second study, PMMA and PU particles from one non-aqueous emulsion were investigated via single molecule fluorescence detection. At first the particles were loaded with PDI dye, which were detected by fluorescence microscopy. The distribution and orientation of the PDI molecules in the particles were successfully observed by Single Molecule Fluorescence Detection. The molecules were homogenously distributed inside of the particles. In addition they had random orientation, meaning that no aggregations of dye molecules were formed. With the results, it could be supposed that the polymer chains were also homogenously distributed in the particles, and that the conformation was relatively flexible. rnrnIn the third part of the study, graphene nanosheets with high surface area were dispersed in an organic solvent with low boiling point and low toxicity, THF, stabilized with a block copolymer PI-b-PMMA. The dispersion was used to prepare polymer composites. It was shown that the modified graphene nanosheets had good compatibility with the PS and PMMA matrices. rn

Oberflächenuntersuchungen von Metalla-Tetraazaporphyrinen

Ziel dieser Arbeit war es, ein System zu entwickeln, in dem ein durch Licht induzierter Elektronentransfer stattfinden kann. Dazu wurden ein Kupfer(II)- und ein Zink(II)Tetraazaporphyrin mit acht 4-tert-Butylphenyl-Substituenten synthetisiert (Cu4Dinit, Zn4Dinit). Die Energielücke von 1,85 eV zwischen HOMO und LUMO von Cu4Dinit in Lösung wurde mit Hilfe von Cyclovoltammetrie und UV/Vis-Messungen bestimmt. Somit ist sie größer als für Cu4Dinit Moleküle, die auf einer Oberfläche (Wolfram(100)) liegen und mit STM-, STS-Messungen untersucht wurden. Hier beträgt die Energielücke 1,35 eV, was durch eine Drehung der Phenylringe in die Ebene der Pyrrolringe des Makrozyklus und somit durch eine bessere Überlappung der Orbitale erklärt werden kann. Um die Wechselwirkung der Moleküle mit der Oberfläche zu untersuchen, wurde Cu4Dinit, wie oben beschrieben, auf Magnetit aufgedampft. Dadurch wurde ausschließlich die Wechselwirkung zwischen den Elektronenspins des Kupfer(II)-ions und den Elektronenspins des Eisens im Magnetit betrachtet. Durch Messungen der Röntgenabsorption und des XMCD-Effektes konnten das Spinmoment, Bahnmoment und das Gesamtmoment des Kupfers berechnet und eine anisotrope Kopplung des Elektronenspins des Kupferions zum Magnetit, in Abhängigkeit der Magnetisierungsrichtung des Magnetits, festgestellt werden. Wenn der Magnetit senkrecht zur Oberfläche (out-of-plane) magnetisiert ist, ist die Kopplung ferromagnetisch, während bei einer Magnetisierungsrichtung parallel zur Ebene (in-plane) des Magnetits der Elektronenspin des Kupfers antiferromagnetisch mit dem des Eisens koppelt. Dadurch muss der Hamiltonian, der die Wechselwirkung zwischen zwei Spins beschreibt, bei einer anisotropen Kopplung um einen ansiotropen Term ergänzt werden. Das Ergebnis, dass der Elektronenspin des Kupferions durch die Richtung der Magnetisierung des Magnetits beeinflusst werden kann, eröffnet neue Wege, um die Spinkonfiguration von auf der Oberfläche liegenden Molekülen mit ungepaarten Elektronen, wie die zentralen Metallionen der Makrozyklen aber auch die Elektronenspins anderer metallorganischer Komplexe oder molekulare Magnete, durch ein externes Magnetfeld zu beeinflussen. rnDurch die stöchiometrische Templatreaktion von Pyrazino[2,3-f][1,10]-phenanthrolin-2,3-di-carbonitril (Dicnq), Bis(4-tert-Butylphenyl)-fumarodinitril (Dinit) und Kupfer(II)-acetat wurde eine Koordinationsmöglichkeit für ein Ruthenium(II)-ion in einem Tetraazaporphyrin hergestellt und so die Makrozyklen Cu3Dinit1Dicnq und Zn3Dinit1Dicnq synthetisiert, mit Rutheniumionen versetzt und ebenfalls mit Hilfe von Röntgenabsorptionsmessungen und XMCD untersucht. Durch die Vergleiche mit Zn3Dinit1Dicnq und den jeweiligen Verbindungen mit koordinierten Rutheniumionen (Cu3Dinit1Dicnq-1Ru, Zn3Dinit1Dicnq-1Ru) konnte gezeigt werden, dass eine Verschiebung der Elektronendichte des Rutheniumions zu dem zentralen Kupferion des Makrozyklus stattgefunden hat und durch die Koordination eines Rutheniumions in der Peripherie des Tetraazaporphyrins die energetische Lage der Kupferorbitale beeinflusst wird.rnDer Einfluss von vier koordinierten Ruthenium(II)-ionen auf das zentrale Kupferion wurde an Hand des in dieser Arbeit hergestellten Kupfer(II)phenanthralocyanins (Cu4Dicnq) untersucht, das aus vier Dicnq-Liganden und Kupfer(II)-acetat synthetisiert wurde. Auf Grund der schlechten Löslichkeit wurde für die Koordination der Rutheniumionen der Prekursor [Ru(bipy)2Dicnq](PF6)2 hergestellt und daraus der Makrozyklus in einer Templatsynthese mit Kufper(II)-ionen gebildet. Durch diese neue Syntheseroute war es möglich, die Verbindung Cu4Dicnq-4Ru herzustellen und ebenfalls durch Röntgenabsorption und XMCD zu untersuchen und so das Spin- und Bahnmoment zu ermitteln. Ein Teil der Elektronendichte des Rutheniumions in dieser Verbindung wird auf die zusätzlich an das Rutheniumion koordinierten 2,2'-Bipyridine und nicht auf den Makrozyklus, wie in Cu3Dinit1Dicnq-1Ru, geschoben. Trotzdem konnte die Funktionsweise als Modell des Photosystems II durch eine Oxidation durch die Bestrahlung mit einer Quecksilberlampe mit para-Benzochinon beobachtet werden. Dies bestätigte die Funktionsweise des Kupfer(II)phenanthralocyanins mit koordinierten Rutheniumionen, da ein durch Licht induzierter Elektronenübergang auf das para-Benzochinon stattgefunden hat.rn

Hadronic correlation functions with quark-disconnected contributions in lattice QCD

One of the fundamental interactions in the Standard Model of particle physicsrnis the strong force, which can be formulated as a non-abelian gauge theoryrncalled Quantum Chromodynamics (QCD). rnIn the low-energy regime, where the QCD coupling becomes strong and quarksrnand gluons are confined to hadrons, a perturbativernexpansion in the coupling constant is not possible.rnHowever, the introduction of a four-dimensional Euclidean space-timernlattice allows for an textit{ab initio} treatment of QCD and provides arnpowerful tool to study the low-energy dynamics of hadrons.rnSome hadronic matrix elements of interest receive contributionsrnfrom diagrams including quark-disconnected loops, i.e. disconnected quarkrnlines from one lattice point back to the same point. The calculation of suchrnquark loops is computationally very demanding, because it requires knowledge ofrnthe all-to-all propagator. In this thesis we use stochastic sources and arnhopping parameter expansion to estimate such propagators.rnWe apply this technique to study two problems which relay crucially on therncalculation of quark-disconnected diagrams, namely the scalar form factor ofrnthe pion and the hadronic vacuum polarization contribution to the anomalousrnmagnet moment of the muon.rnThe scalar form factor of the pion describes the coupling of a charged pion torna scalar particle. We calculate the connected and the disconnected contributionrnto the scalar form factor for three different momentum transfers. The scalarrnradius of the pion is extracted from the momentum dependence of the form factor.rnThe use ofrnseveral different pion masses and lattice spacings allows for an extrapolationrnto the physical point. The chiral extrapolation is done using chiralrnperturbation theory ($chi$PT). We find that our pion mass dependence of thernscalar radius is consistent with $chi$PT at next-to-leading order.rnAdditionally, we are able to extract the low energy constant $ell_4$ from thernextrapolation, and ourrnresult is in agreement with results from other lattice determinations.rnFurthermore, our result for the scalar pion radius at the physical point isrnconsistent with a value that was extracted from $pipi$-scattering data. rnThe hadronic vacuum polarization (HVP) is the leading-order hadronicrncontribution to the anomalous magnetic moment $a_mu$ of the muon. The HVP canrnbe estimated from the correlation of two vector currents in the time-momentumrnrepresentation. We explicitly calculate the corresponding disconnectedrncontribution to the vector correlator. We find that the disconnectedrncontribution is consistent with zero within its statistical errors. This resultrncan be converted into an upper limit for the maximum contribution of therndisconnected diagram to $a_mu$ by using the expected time-dependence of therncorrelator and comparing it to the corresponding connected contribution. Wernfind the disconnected contribution to be smaller than $approx5%$ of thernconnected one. This value can be used as an estimate for a systematic errorrnthat arises from neglecting the disconnected contribution.rn

Study of the helicity dependence of pi 0 photoproduction on proton at MAMI

The excitation spectrum is one of the fundamental properties of every spatially extended system. The excitations of the building blocks of normal matter, i.e., protons and neutrons (nucleons), play an important role in our understanding of the low energy regime of the strong interaction. Due to the large coupling, perturbative solutions of quantum chromodynamics (QCD) are not appropriate to calculate long-range phenomena of hadrons. For many years, constituent quark models were used to understand the excitation spectra. Recently, calculations in lattice QCD make first connections between excited nucleons and the fundamental field quanta (quarks and gluons). Due to their short lifetime and large decay width, excited nucleons appear as resonances in scattering processes like pion nucleon scattering or meson photoproduction. In order to disentangle individual resonances with definite spin and parity in experimental data, partial wave analyses are necessary. Unique solutions in these analyses can only be expected if sufficient empirical information about spin degrees of freedom is available. The measurement of spin observables in pion photoproduction is the focus of this thesis. The polarized electron beam of the Mainz Microtron (MAMI) was used to produce high-intensity, polarized photon beams with tagged energies up to 1.47 GeV. A "frozen-spin" Butanol target in combination with an almost 4π detector setup consisting of the Crystal Ball and the TAPS calorimeters allowed the precise determination of the helicity dependence of the γp → π0p reaction. In this thesis, as an improvement of the target setup, an internal polarizing solenoid has been constructed and tested. A magnetic field of 2.32 T and homogeneity of 1.22×10−3 in the target volume have been achieved. The helicity asymmetry E, i.e., the difference of events with total helicity 1/2 and 3/2 divided by the sum, was determined from data taken in the years 2013-14. The subtraction of background events arising from nucleons bound in Carbon and Oxygen was an important part of the analysis. The results for the asymmetry E are compared to existing data and predictions from various models. The results show a reasonable agreement to the models in the energy region of the ∆(1232)-resonance but large discrepancies are observed for energy above 600 MeV. The expansion of the present data in terms of Legendre polynomials, shows the sensitivity of the data to partial wave amplitudes up to F-waves. Additionally, a first, preliminary multipole analysis of the present data together with other results from the Crystal Ball experiment has been as been performed.

Computer simulation of rod-coil block copolymers and tetrapod,polymer mixtures

In this thesis I present a new coarse-grained model suitable to investigate the phase behavior of rod-coil block copolymers on mesoscopic length scales. In this model the rods are represented by hard spherocylinders, whereas the coil block consists of interconnected beads. The interactions between the constituents are based on local densities. This facilitates an efficient Monte-Carlo sampling of the phase space. I verify the applicability of the model and the simulation approach by means of several examples. I treat pure rod systems and mixtures of rod and coil polymers. Then I append coils to the rods and investigate the role of the different model parameters. Furthermore, I compare different implementations of the model. I prove the capability of the rod-coil block copolymers in our model to exhibit typical micro-phase separated configurations as well as extraordinary phases, such as the wavy lamellar state, percolating structuresrnand clusters. Additionally, I demonstrate the metastability of the observed zigzag phase in our model. A central point of this thesis is the examination of the phase behavior of the rod-coil block copolymers in dependence of different chain lengths and interaction strengths between rods and coil. The observations of these studies are summarized in a phase diagram for rod-coil block copolymers. Furthermore, I validate a stabilization of the smectic phase with increasing coil fraction.rnIn the second part of this work I present a side project in which I derive a model permitting the simulation of tetrapods with and without grafted semiconducting block copolymers. The effect of these polymers is added in an implicit manner by effective interactions between the tetrapods. While the depletion interaction is described in an approximate manner within the Asakura-Oosawa model, the free energy penalty for the brush compression is calculated within the Alexander-de Gennes model. Recent experiments with CdSe tetrapods show that grafted tetrapods are clearly much better dispersed in the polymer matrix than bare tetrapods. My simulations confirm that bare tetrapods tend to aggregate in the matrix of excess polymers, while clustering is significantly reduced after grafting polymer chains to the tetrapods. Finally, I propose a possible extension enabling the simulation of a system with fluctuating volume and demonstrate its basic functionality. This study is originated in a cooperation with an experimental group with the goal to analyze the morphology of these systems in order to find the ideal morphology for hybrid solar cells.

Measurement of the e + e - pi + pi - cross section using initial state radiation at BESIII

The future goal of modern physics is the discovery of physics beyond the Standard Model. One of the most significant hints for New Physics can be seen in the anomalous magnetic moment of the muon - one of the most precise measured variables in modern physics and the main motivation of this work. This variable is associated with the coupling of the muon, an elementary particle, to an external electromagnetic field and is defined as a = (g - 2)/2, whereas g is the gyromagnetic factor of the muon. The muon anomaly has been measured with a relative accuracy of 0.5·10-6. However, a difference between the direct measurement and the Standard Model prediction of 3.6 standard deviations can be observed. This could be a hint for the existence of New Physics. Unfortunately, it is, yet, not significant enough to claim an observation and, thus, more precise measurements and calculations have to be performed.rnThe muon anomaly has three contributions, whereas the ones from quantum electrodynamics and weak interaction can be determined from perturbative calculations. This cannot be done in case of the hadronic contributions at low energies. The leading order contribution - the hadronic vacuum polarization - can be computed via a dispersion integral, which needs as input hadronic cross section measurements from electron-positron annihilations. Hence, it is essential for a precise prediction of the muon anomaly to measure these hadronic cross sections, σ(e+e-→hadrons), with high accuracy. With a contribution of more than 70%, the final state containing two charged pions is the most important one in this context.rnIn this thesis, a new measurement of the σ(e+e-→π+π-) cross section and the pion form factor is performed with an accuracy of 0.9% in the dominant ρ(770) resonance region between 600 and rn900 MeV at the BESIII experiment. The two-pion contribution to the leading-order (LO) hadronic vacuum polarization contribution to (g - 2) from the BESIII result, obtained in this work, is computed to be a(ππ,LO,600-900 MeV) = (368.2±2.5stat±3.3sys)·10-10. With the result presented in this thesis, we make an important contribution on the way to solve the (g - 2) puzzle.

Untersuchung von Einflussfaktoren zur Ortsbruststabilität und Vortriebsgeschwindigkeit beim Tunnelbau im Rheinischen Schiefergebirge

Zusammenfassung Der ca. 1.555 m lange Tunnel Fernthal wurde von 1998 bis 2000 im Zuge der Bundesbahn-Neubaustrecke Köln – Rhein/Main erstellt. Der Tunnel durchquert devonische Schichten des Rechtsrheinischen Schiefergebirges. Die Ton- und Sandsteine sind tiefgründig verwittert, intensiv verfaltet mit wechselnden Vergenzen der Faltenschenkel und zudem stark durch Trennflächen zerlegt. Beim Auffahren des Tunnel Fernthal sind Phänomene in Bezug auf die Wechselwirkung zwischen dem Grundwasser und dem Tunnel sowie dem Fels und dem Tunnel beobachtet worden, die vom Verfasser der vorliegenden Arbeit im Nachgang der Baumaßnahme vertieft ausgewertet und interpretiert werden.Innerhalb von zwanzig strukturgeologischen Homogenbereichen wurden die geotechnisch und strukturgeologisch bestimmenden Einflussfaktoren (z.B. ungünstig zum Hohlraum einfallende Schichtung oder Querklüftung mit hohem Durchtrennungsgrad) im Hinblick auf Ihre Auswirkung auf die Sicherung der Ortsbrust und damit die Vortriebsgeschwindigkeit quantifiziert. Über das Produkt der den Vortrieb bestimmenden Einzelfaktoren wurde für den jeweiligen Homogenbereich ein Gesamteinflussfaktor errechnet.Aus dem neu eingeführten Gesamteinflussfaktors fn gesamt lassen sich dabei Empfehlungen über die notwendigen Sicherungsmaßnahmen im Bereich der Ortsbrust ableiten und Einteilungen in Ausbruchsklassen vornehmen. Über die Bewertungsmatrix und den sich daraus ergebenen Gesamteinflussfaktor können reduzierte Vortriebsgeschwindigkeiten ausgehend von einer 'idealen' Vortriebsgeschwindigkeit näherungsweise errechnet werden. Mithilfe der Bewertungsmatrix lässt sich die bautechnischen Eigenschaften des Gebirges besser bewerten. So zeigt sich im Rahmen dieser Arbeit deutlich, dass es bei einem vergenten Faltengebirge günstiger ist, den Tunnel gegen die Vergenz von Faltenschenkeln aufzufahren. Somit können schon im Vorfeld einer Tunnelbaumaßnahme verschiedene Vortriebsschemata durchrechnet werden. Neben der besseren Prognose von notwendigen Sicherungsmaßnahmen kann durch den Zeitgewinn auch ein finanzieller Vorteil für die Beteiligten entstehen.