Dynamics, rheology and critical properties of colloidal fluid mixtures

Liquids under the influence of external fields exhibit a wide range of intriguing phenomena that can be markedly different from the behaviour of a quiescent system. This work considers two different systems — a glassforming Yukawa system and a colloid-polymer mixture — by Molecular Dynamics (MD) computer simulations coupled to dissipative particle dynamics. The former consists of a 50-50 binary mixture of differently-sized, like-charged colloids interacting via a screened Coulomb (Yukawa) potential. Near the glass transition the influence of an external shear field is studied. In particular, the transition from elastic response to plastic flow is of interest. At first, this model is characterised in equilibrium. Upon decreasing temperature it exhibits the typical dynamics of glassforming liquids, i.e. the structural relaxation time τα grows strongly in a rather small temperature range. This is discussed with respect to the mode-coupling theory of the glass transition (MCT). For the simulation of bulk systems under shear, Lees-Edwards boundary conditions are applied. At constant shear rates γ˙ ≫ 1/τα the relevant time scale is given by 1/γ˙ and the system shows shear thinning behaviour. In order to understand the pronounced differences between a quiescent system and a system under shear, the response to a suddenly commencing or terminating shear flow is studied. After the switch-on of the shear field the shear stress shows an overshoot, marking the transition from elastic to plastic deformation, which is connected to a super-diffusive increase of the mean squared displacement. Since the average static structure only depends on the value of the shear stress, it does not discriminate between those two regimes. The distribution of local stresses, in contrast, becomes broader as soon as the system starts flowing. After a switch-off of the shear field, these additional fluctuations are responsible for the fast decay of stresses, which occurs on a time scale 1/γ˙ . The stress decay after a switch-off in the elastic regime, on the other hand, happens on the much larger time scale of structural relaxation τα. While stresses decrease to zero after a switch-off for temperatures above the glass transition, they decay to a finite value for lower temperatures. The obtained results are important for advancing new theoretical approaches in the framework of mode-coupling theory. Furthermore, they suggest new experimental investigations on colloidal systems. The colloid-polymer mixture is studied in the context of the behaviour near the critical point of phase separation. For the MD simulations a new effective model with soft interaction potentials is introduced and its phase diagram is presented. Here, mainly the equilibrium properties of this model are characterised. While the self-diffusion constants of colloids and polymers do not change strongly when the critical point is approached, critical slowing down of interdiffusion is observed. The order parameter fluctuations can be determined through the long-wavelength limit of static structure factors. For this strongly asymmetric mixture it is shown how the relevant structure factor can be extracted by a diagonalisation of a matrix that contains the partial static structure factors. By presenting first results of this model under shear it is demonstrated that it is suitable for non-equilibrium simulations as well.

Untersuchung neuer hochwirksamer neuroprotektiver Antioxidantien in experimentellen Modellen der Parkinsonschen Krankheit

Bei der Parkinsonschen Krankheit kommt es zu einer selektiven Degeneration der dopaminergen Neurone in der Substantia nigra pars compacta. Die Rolle des oxidativen Stresses in der Pathogenese dieser Erkrankung konnte an post mortem Untersuchungen der Parkinson-Patienten, wie auch an zahlreichen in vitro und in vivo Modellen bestätigt werden. Die Anwendung von Antioxidantien wurde als therapeutische Strategie der Parkinsonschen Krankheit vorgeschlagen. In dieser Hinsicht wurden bereits antioxidative Substanzen in klinischen Studien evaluiert. Klinische Studien mit Antioxidantien haben jedoch bislang nur wenig überzeugende Ergebnisse erbracht, mit Ausnahme des Einsatzes des Ubichinons (Coenzym Q). Eine kritische Analyse der klinischen Studien lässt zusammenfassen, dass auf Seiten der verwendeten Antioxidantien noch massiver Optimierungsbedarf besteht. Für einen erfolgreichen therapeutischen Einsatz von Antioxidantien bei dieser Krankheit sind folgende Eigenschaften der Substanzen von höchster Bedeutung: i) maximale neuroprotektive Aktivität bei geringen Dosen; ii) geringe Nebenwirkungen; iii) eine hohe Blut-Hirn-Schrankengängigkeit.In dieser Arbeit wurde das neuroprotektive Potential von drei Bisarylimin-basierten antioxidativen Strukturen (Phenothiazin, Iminostilben und Phenoxazin) in in vitro und in vivo Parkinson-Modellsystemen evaluiert. Beide experimentellen Modelle basieren auf der Wirkung der mitochondrialen Komplex I Inhibitoren 1-Methyl-4-Phenylpyridin (MPP+) und Rotenon, welche pathophysiologische Charakteristika der Parkinsonschen Krankheit reproduzieren. Unsere in vitro Untersuchungen an primären Neuronen des Mittelhirns und der klonalen SH-SY5Y-Neuroblastomazelllinie konnten zeigen, dass die Komplex I Inhibition krankheitsspezifische zelluläre Merkmale induziert, wie die Abnahme der antioxidativen Verteidigungskapazität und Verlust des mitochondrialen Membranpotentials. Zusätzlich kommt es in primären Neuronen des Mittelhirns zur selektiven Degeneration dopaminerger Neurone, welche in der Parkinsonschen Erkrankung besonders betroffen sind. Ko-Inkubation der in vitro Modelle mit Phenothiazin, Iminostilben und Phenoxazin in niedrigen Konzentrationen (50 nM) halten die pathologischen Prozesse fast vollständig auf. In vivo Untersuchungen am MPP+- und Rotenon-basierten Caenorhabditis elegans (C. elegans) Modell bestätigen das neuroprotektive Potential der Bisarylimine. Hierfür wurde eine transgene C. elegans Linie mithilfe einer dopaminerg spezifischen DsRed2- (Variante des rot fluoreszierenden Proteins von Discosoma sp.)-Expression und pan-neuronaler CFP- (cyan fluoreszierendes Protein)-Expression zur Visualisierung der dopaminergen Neuronenpopulation in Kontrast zum Gesamtnervensystem erstellt. Behandlung des C. elegans mit MPP+ und Rotenon im larvalen und adulten Stadium führt zu einer selektiven Degeneration dopaminerger Neurone, sowie zum Entwicklungsarrest der larvalen Population. Die dopaminerge Neurodegeneration, wie auch weitere phänotypische Merkmale des C. elegans Modells, können durch Phenothiazin, Iminostilben und Phenoxazin in niedrigen Konzentrationen (500 nM) komplett verhindert werden. Ein systemischer Vergleich aromatischer Bisarylimine mit bekannten, gut charakterisierten Antioxidantien, wie α-Tocopherol (Vitamin E), Epigallocatechingallat und β-Catechin, zeigt, dass effektive Konzentrationen für Phenothiazin, Iminostilben und Phenoxazin um Zehnerpotenzen niedriger liegen im Vergleich zu natürlichen Antioxidantien. Der Wirkungsmechanismus der Bisarylimine konnte in biochemischen und in vitro Analysen, sowie in Verhaltensuntersuchungen an C. elegans von der Wirkungsweise strukturell ähnlicher, neuroleptisch wirkender Phenothiazin-Derivate differenziert werden. Die Analyse des dopaminerg-gesteuerten Verhaltens (Beweglichkeit) in C. elegans konnte verdeutlichen, dass antioxidative und Dopaminrezeptor-bindende Eigenschaften der Bisaryliminstrukturen sich gegenseitig ausschließen. Diese qualitativen Merkmale unterscheiden Bisarylimine fundamental von klinisch angewandten Neuroleptika (Phenothiazin-Derivate), welche als Dopaminrezeptor-Antagonisten zur Behandlung psychischer Erkrankungen klinisch eingesetzt werden.Aromatische Bisarylimine (Phenothiazin, Iminostilben und Phenoxazin) besitzen günstige strukturelle Eigenschaften zur antioxidativ-basierter Neuroprotektion. Durch die Anwesenheit der antioxidativ wirkenden, nicht-substituierten Iminogruppe unterscheiden sich Bisarylimine grundlegend von neuroleptisch-wirkenden Phenothiazin-Derivaten. Wichtige strukturelle Voraussetzungen eines erfolgreichen antioxidativen Neuropharmakons, wie eine hohe Radikalisierbarkeit, die stabile Radikalform und der lipophile Charakter des aromatischen Ringsystems, werden in der Bisaryliminstruktur erfüllt. Antioxidative Bisarylimine könnten in der Therapie der Parkinsonschen Krankheit als eine effektive neuroprotektiv-therapeutische Strategie weiter entwickelt werden.

Chiral properties of two-flavour QCD at zero and non-zero temperature

Lattice Quantum Chromodynamics (LQCD) is the preferred tool for obtaining non-perturbative results from QCD in the low-energy regime. It has by nowrnentered the era in which high precision calculations for a number of phenomenologically relevant observables at the physical point, with dynamical quark degrees of freedom and controlled systematics, become feasible. Despite these successes there are still quantities where control of systematic effects is insufficient. The subject of this thesis is the exploration of the potential of todays state-of-the-art simulation algorithms for non-perturbativelyrn$\mathcal{O}(a)$-improved Wilson fermions to produce reliable results in thernchiral regime and at the physical point both for zero and non-zero temperature. Important in this context is the control over the chiral extrapolation. Thisrnthesis is concerned with two particular topics, namely the computation of hadronic form factors at zero temperature, and the properties of the phaserntransition in the chiral limit of two-flavour QCD.rnrnThe electromagnetic iso-vector form factor of the pion provides a platform to study systematic effects and the chiral extrapolation for observables connected to the structure of mesons (and baryons). Mesonic form factors are computationally simpler than their baryonic counterparts but share most of the systematic effects. This thesis contains a comprehensive study of the form factor in the regime of low momentum transfer $q^2$, where the form factor is connected to the charge radius of the pion. A particular emphasis is on the region very close to $q^2=0$ which has not been explored so far, neither in experiment nor in LQCD. The results for the form factor close the gap between the smallest spacelike $q^2$-value available so far and $q^2=0$, and reach an unprecedented accuracy at full control over the main systematic effects. This enables the model-independent extraction of the pion charge radius. The results for the form factor and the charge radius are used to test chiral perturbation theory ($\chi$PT) and are thereby extrapolated to the physical point and the continuum. The final result in units of the hadronic radius $r_0$ is rn$$ \left\langle r_\pi^2 \right\rangle^{\rm phys}/r_0^2 = 1.87 \: \left(^{+12}_{-10}\right)\left(^{+\:4}_{-15}\right) \quad \textnormal{or} \quad \left\langle r_\pi^2 \right\rangle^{\rm phys} = 0.473 \: \left(^{+30}_{-26}\right)\left(^{+10}_{-38}\right)(10) \: \textnormal{fm} \;, $$rn which agrees well with the results from other measurements in LQCD and experiment. Note, that this is the first continuum extrapolated result for the charge radius from LQCD which has been extracted from measurements of the form factor in the region of small $q^2$.rnrnThe order of the phase transition in the chiral limit of two-flavour QCD and the associated transition temperature are the last unkown features of the phase diagram at zero chemical potential. The two possible scenarios are a second order transition in the $O(4)$-universality class or a first order transition. Since direct simulations in the chiral limit are not possible the transition can only be investigated by simulating at non-zero quark mass with a subsequent chiral extrapolation, guided by the universal scaling in the vicinity of the critical point. The thesis presents the setup and first results from a study on this topic. The study provides the ideal platform to test the potential and limits of todays simulation algorithms at finite temperature. The results from a first scan at a constant zero-temperature pion mass of about 290~MeV are promising, and it appears that simulations down to physical quark masses are feasible. Of particular relevance for the order of the chiral transition is the strength of the anomalous breaking of the $U_A(1)$ symmetry at the transition point. It can be studied by looking at the degeneracies of the correlation functions in scalar and pseudoscalar channels. For the temperature scan reported in this thesis the breaking is still pronounced in the transition region and the symmetry becomes effectively restored only above $1.16\:T_C$. The thesis also provides an extensive outline of research perspectives and includes a generalisation of the standard multi-histogram method to explicitly $\beta$-dependent fermion actions.