In der vorliegenden Arbeit werden die Eigenschaften geschlossener fluider Membranen, sogenannter Vesikeln, bei endlichen Temperaturen untersucht. Dies beinhaltet Betrachtungen zur Form freier Vesikeln, eine Untersuchung des Adhäsionsverhaltens von Vesikeln an planaren Substraten sowie eine Untersuchung der Eigenschaften fluider Vesikeln in eingeschränkten Geometrien. Diese Untersuchungen fanden mit Hilfe von Monte-Carlo-Simulationen einer triangulierten Vesikeloberfläche statt. Die statistischen Eigenschaften der fluktuierenden fluiden Vesikeln wurden zum Teil mittels Freier-Energie-Profile analysiert. In diesem Zusammenhang wurde eine neuartige Histogrammethode entwickelt.<br><BR> Die Form für eine freie fluide Vesikel mit frei veränderlichem Volumen, die das Konfigurationsenergie-Funktional minimiert, ist im Falle verschwindender Temperatur eine Kugel. Mit Hilfe von Monte-Carlo-Simulationen sowie einem analytisch behandelbaren Modellsystem konnte gezeigt werden, daß sich dieses Ergebnis nicht auf endliche Temperaturen verallgemeinern lässt und statt dessen leicht prolate und oblate Vesikelformen gegenüber der Kugelgestalt überwiegen. Dabei ist die Wahrscheinlichkeit für eine prolate Form ein wenig gröoßer als für eine oblate. Diese spontane Asphärizität ist entropischen Ursprungs und tritt nicht bei zweidimensionalen Vesikeln auf. Durch osmotische Drücke in der Vesikel, die größer sind als in der umgebenden Flüssigkeit, lässt sich die Asphärizität reduzieren oder sogar kompensieren. Die Übergänge zwischen den beobachteten prolaten und oblaten Formen erfolgen im Bereich von Millisekunden in Abwesenheit osmotisch aktiver Partikel. Bei Vorhandensein derartiger Partikel ergeben sich Übergangszeiten im Bereich von Sekunden.<br><br> Im Rahmen der Untersuchung des Adhäsionsverhaltens fluider Vesikeln an planaren, homogenen Substraten konnte mit Hilfe von Monte-Carlo-Simulationen festgestellt werden, dass die Eigenschaften der Kontaktfläche der Vesikeln stark davon abhängen, welche Kräfte den Kontakt bewirken. Für eine dominierende attraktive Wechselwirkung zwischen Substrat und Vesikelmembran sowie im Falle eines Massendichteunterschieds der Flüssigkeiten innerhalb und außerhalb der Vesikel, der die Vesikel auf das Substrat sinken lässt, ndet man innerhalb der Kontakt ache eine ortsunabhangige Verteilung des Abstands zwischen Vesikelmembran und Substrat. Drückt die Vesikel ohne Berücksichtigung osmotischer Effekte auf Grund einer Differenz der Massendichten der Membran und der umgebenden Flüssigkeit gegen das Substrat, so erhält man eine Abstandsverteilung zwischen Vesikelmembran und Substrat, die mit dem Abstand vom Rand der Kontaktfläche variiert. Dieser Effekt ist zudem temperaturabhängig.<br><br> Ferner wurde die Adhäsion fluider Vesikeln an chemisch strukturierten planaren Substraten untersucht. Durch das Wechselspiel von entropischen Eekten und Konfigurationsenergien entsteht eine komplexe Abhängigkeit der Vesikelform von Biegesteifigkeit, osmotischen Bedingungen und der Geometrie der attraktiven Domänen.<br><br> Für die Bestimmung der Biegesteifigkeit der Vesikelmembranen liefern die existierenden Verfahren stark voneinander abweichende Ergebnisse. In der vorliegenden Arbeit konnte mittels Monte-Carlo-Simulationen zur Bestimmung der Biegesteifigkeit anhand des Mikropipettenverfahrens von Evans gezeigt werden, dass dieses Verfahren die <i>a priori</i> für die Simulation vorgegebene Biegesteifigkeit im wesentlichen reproduzieren kann.<br><br> Im Hinblick auf medizinisch-pharmazeutische Anwendungen ist der Durchgang fluider Vesikeln durch enge Poren relevant. In Monte-Carlo-Simulationen konnte gezeigt werden, dass ein spontaner Transport der Vesikel durch ein Konzentrationsgefälle osmotisch aktiver Substanzen, das den physiologischen Bedingungen entspricht, induziert werden kann. Es konnten die hierfür notwendigen osmotischen Bedingungen sowie die charakteristischen Zeitskalen abgeschätzt werden. Im realen Experiment sind Eindringzeiten in eine enge Pore im Bereich weniger Minuten zu erwarten. Ferner konnte beobachtet werden, dass bei Vesikeln mit einer homogenen, positiven spontanen Krümmung Deformationen hin zu prolaten Formen leichter erfolgen als bei Vesikeln ohne spontane Krümmung. Mit diesem Effekt ist eine Verringerung der Energiebarriere für das Eindringen in eine Pore verbunden, deren Radius nur wenig kleiner als der Vesikelradius ist. / In this thesis, the properties of closed fluid membranes or vesicles are studied at finite temperatures. The work contains investigations of the shape of free vesicles, studies of the adhesion behavior of vesicles to planar substrates, and investigations of the properties of fluid vesicles in confined geometries. The investigations have been performed with Monte Carlo simulations of triangulated vesicles. The statistical properties of fluctuating vesicles have been analyzed in detail by means of free energy profiles. In this context, a new histogram method was developed. <br><br> The shape of minimum configurational energy for a free vesicle without volume constraint at zero temperature is a sphere. It is shown by means of Monte Carlo simulations and a model which can be analyzed analytically, that this result does not apply to finite temperatures. Instead, prolate and oblate shapes prevail and the probability for a prolate shape is slightly larger than that for an oblate shape. This spontaneous asphericity is of entropic origin and cannot be observed in two dimensions. Osmotic pressures inside the vesicle that are larger than in the surrounding liquid may reduce or even compensate the asphericity. The transitions between the observed prolate and oblate states occur on the time scale of milliseconds in the absence of osmotically active particles and on the time scale of seconds in the presence of osmotically active particles. <br><br> As far as the adhesion behavior of fluid vesicles to planar homogeneous substrates is concerned, Monte Carlo simulations reveal a strong dependence of the properties of the contact area on its driving force. In the case of a dominating attractive interaction between vesicle membran and substrate as well as for a mass density difference of the liquids inside and outside the vesicle, which push the vesicle against the substrate, the distribution of the distance between the vesicle membrane and the substrate is homogenous. If the vesicle is pushed against the substrate by a difference of the mass densities of the membrane and the surrounding liquid, neglecting all osmotic effects, one gets a distance distribution between the vesicle membrane and the substrate which varies with the distance from the rim of the contact area. Moreover, this effect is temperature-dependent. <br><br> Furthermore, the adhesion of fluid vesicles to chemically structured planar substrates has been studied. The interplay between entropic effects and configurational energies causes a complex dependence of the vesicle shape on the bending rigidity, osmotic conditions, and the geometry of the attractive domains. <br><br> There are several experimental methods for measuring the bending rigidity of vesicle membranes which lead to rather different results for the numerical value. Monte Carlo simulations of Evans' micropipette method show that the difference between the measured bending rigidity and the a priori chosen bending rigidity is small. <br><br> The passage of fluid vesicles through narrow pores has some relevance to medical/pharmaceutical applications. In Monte Carlo simulations it is shown that a spontaneous transport of vesicles can be induced by a concentration gradient of osmotically active particles which corresponds to the physiological conditions. The necessary osmotic conditions and the charateristic time scales are calculated. For real experiments, penetration into the pore should occur within a few minutes. Moreover, it was observed that vesicles with a homogeneous positive spontaneous curvature can be deformed more easily into prolate shapes than vesicles with zero spontaneous curvature. This effect leads to a decrease of the energy barrier for the penetration into a wide pore, which has a radius slightly smaller than that of the vesicle.

Es werden die Eigenschaften von Driftwellen untersucht, welche an der rotierenden magnetisierten Plasmasäule des PSI-1/2 beobachtet wurden. Ihre parallelen Wellenzahlen sind sehr klein, sie besitzen eine nahezu lineare azimutale Dispersionsrelation, ihre azimutale Phasengeschwindigkeit ist etwa gleich der azimutalen Ionendriftgeschwindigkeit und die Potentialfluktuationen eilen den Dichtefluktuationen um etwa Pi hinterher. Deshalb können sie als Ionendriftwellen bezeichnet werden. Alle zugehörigen Messungen wurden mit Langmuirsonden, Spektrometern und schnellen CCD-Kameras durchgeführt. Ein einfaches analytisches Modell, welches die Potential- und Dichteverteilung der Ionendriftwelle beschreibt, offenbart den zugrundeliegenden Instabilitätsmechanismus. Weiterhin wird eine Klassifikation der beobachteten Ionendriftinstabilität in einem Übersichtsschema der bekannten Driftinstabilitäten gegeben. Abschließend wurden die parallele und senkrechte Teilchendiffusion untersucht. Während der gemessene parallele Diffusionskoeffizient sehr gut mit den theoretischen Vorstellungen übereinstimmt, kann die beobachtete Senkrechtdiffusion nicht allein durch die klassische Diffusion erklärt werden. Email: sok@ipp.mpg.de / The properties of drift waves observed in the rotating magnetized plasma column of the PSI-1/2 will be shown. Their parallel wave numbers are very small, their azimuthal dispersion relation is approximately linear, their resultant azimuthal phase velocity is nearly equal to the azimuthal ion drift velocity, and the potential fluctuations always lag behind the density fluctuations with a phase shift of approximately Pi. Therefore, they can be identified as ion drift waves. All corresponding measurements were performed with Langmuir-probes, spectrometers and fast CCD-cameras. A simple analytical model, describing the potential- and density distribution of the ion drift wave, shows the underlying mechanism of the instability. Furthermore, a classification of the observed ion drift instability is given, by referring to a survey scheme summarizing all known drift instabilities. Finally, the parallel and perpendicular particle diffusion were investigated. While the measured parallel diffusion coefficient is in a good agreement with the theory, the observed perpendicular diffusion can not be described with the classical diffusion alone. Email: sok@ipp.mpg.de

The weather dynamics are significantly determined by the motion of the atmosphere and the ocean. This motion is often turbulent, characterized by fluctuations of the flow velocity over wide spatial and temporal scales. This fact, besides limited observability and inaccurate models, impedes the predictability of quantities such as the velocity of winds, which are relevant for the everyday life. One is always interested in improving such predictions - by employing better models or obtaining more information about the system. The Crooks fluctuation theorem is a relation from nonequilibrium thermodynamics, which has its typical applications in nanoscale systems. It quantifies the distribution of imposed work in a process, where the system is pushed out of thermal equilibrium. This distribution is broadened due to the fluctuations of the microscopic degrees of freedom in the system. The fluctuations of the velocity field in turbulent flow suggest the derivation of an analogy of Crooks' theorem for this macroscopic system. The knowledge about the validity of such a relation is additional information, which one in reverse could use to improve predictions about the system. In this thesis both issues are addressed: the derivation of the theorem, and the improvement of predictions. We illustrate the application of Crooks' theorem to hydrodynamic flow within a model of a two-dimensional inviscid and incompressible fluid field, when pushed out of dynamical equilibrium. The flow on a rectangular domain is approximated by the two-dimensional vorticity equation with spectral truncation. In this setting, the equilibrium statistics of the flow can be described through a canonical ensemble with two conserved quantities, kinetic energy and enstrophy. To perturb the system out of equilibrium, we change the shape of the domain according to a protocol, which changes the kinetic energy but leaves the enstrophy constant. This is interpreted as doing work to the system. Evolving along a forward and its corresponding backward process, we find that the distributions of the work performed in these processes satisfy the Crooks relation with parameters derived from the canonical ensembles. We address the issue of prediction in this thesis in a concrete setting: There are examples where the distributions of a variable in the forward and the backward process collapse into one, hence Crooks' theorem relates the distribution of one variable with itself. For a finite data set drawn from such a distribution, we are interested in an estimate of this variable to exceed a certain threshold. We demonstrate that, using the knowledge about Crooks' relation, forecast schemes can be proposed which improve compared to a pure frequency estimate on the data set. The findings are illustrated in three examples, studies of parameters such as exceedance threshold and data set size are presented.

No description available.

No description available.

The weather dynamics are significantly determined by the motion of the atmosphere and the ocean. This motion is often turbulent, characterized by fluctuations of the flow velocity over wide spatial and temporal scales. This fact, besides limited observability and inaccurate models, impedes the predictability of quantities such as the velocity of winds, which are relevant for the everyday life. One is always interested in improving such predictions - by employing better models or obtaining more information about the system. The Crooks fluctuation theorem is a relation from nonequilibrium thermodynamics, which has its typical applications in nanoscale systems. It quantifies the distribution of imposed work in a process, where the system is pushed out of thermal equilibrium. This distribution is broadened due to the fluctuations of the microscopic degrees of freedom in the system. The fluctuations of the velocity field in turbulent flow suggest the derivation of an analogy of Crooks' theorem for this macroscopic system. The knowledge about the validity of such a relation is additional information, which one in reverse could use to improve predictions about the system. In this thesis both issues are addressed: the derivation of the theorem, and the improvement of predictions. We illustrate the application of Crooks' theorem to hydrodynamic flow within a model of a two-dimensional inviscid and incompressible fluid field, when pushed out of dynamical equilibrium. The flow on a rectangular domain is approximated by the two-dimensional vorticity equation with spectral truncation. In this setting, the equilibrium statistics of the flow can be described through a canonical ensemble with two conserved quantities, kinetic energy and enstrophy. To perturb the system out of equilibrium, we change the shape of the domain according to a protocol, which changes the kinetic energy but leaves the enstrophy constant. This is interpreted as doing work to the system. Evolving along a forward and its corresponding backward process, we find that the distributions of the work performed in these processes satisfy the Crooks relation with parameters derived from the canonical ensembles. We address the issue of prediction in this thesis in a concrete setting: There are examples where the distributions of a variable in the forward and the backward process collapse into one, hence Crooks' theorem relates the distribution of one variable with itself. For a finite data set drawn from such a distribution, we are interested in an estimate of this variable to exceed a certain threshold. We demonstrate that, using the knowledge about Crooks' relation, forecast schemes can be proposed which improve compared to a pure frequency estimate on the data set. The findings are illustrated in three examples, studies of parameters such as exceedance threshold and data set size are presented.

Introduction: The OPTIPARK study confirmed the effectiveness and safety of opicapone as adjunct therapy to levodopa in patients with Parkinson’s disease (PD) and motor fluctuations under real-world conditions. The aim of this sub-analysis was to evaluate opicapone in the German patient cohort of OPTIPARK in order to provide country-specific data. Methods: OPTIPARK was an open-label, single-arm study conducted in routine clinical practice across Germany and the UK. Patients with PD and motor fluctuations received once-daily opicapone 50 mg for 3 months in addition to levodopa. The primary endpoint was Clinicians’ Global Impression of Change (CGI-C). Secondary assessments included Patients’ Global Impressions of Change (PGI-C), Unified Parkinson’s Disease Rating Scale (UPDRS) I–IV, Parkinson’s Disease Questionnaire (PDQ-8), and Non-Motor Symptoms Scale (NMSS). This sub-analysis reports outcomes from the German patients only. Results: Overall, 363 (97.6%) of the 372 patients included in the German cohort received ≥1 dose of opicapone and 291 (80.2%) completed the study. Improvements on CGI-C and PGI-C were reported by 70.8% and 76.3% of patients, respectively. UPDRS scores improved for activities of daily living during OFF time by −3.3 ± 4.5 points and motor scores during ON time by −5.3 ± 7.9 points. PDQ-8 and NMSS scores also demonstrated improvements. Treatment emergent adverse events considered at least possibly related to opicapone occurred in 37.7% of patients, with most being of mild or moderate intensity. Conclusion: Opicapone added to levodopa in patients with PD and motor fluctuations was effective and generally well tolerated in routine clinical practice across Germany.

Es wurden die Transportphänomene magnetisierter Plasmen in der Umgebung materieller Limiter am linearen Plasmagenerator PSI-2 unter Verwendung von elektrischen und optischen Diagnostiken untersucht. Der Senkrechtdiffusionskoeffizient wurde mit D= 5 m^2/s und einer 1/B-Abhängigkeit bestimmt. Der dominierende Prozess des Radialtransportes ist turbulenter Natur. Unter Berücksichtigung der Volumenionisation kann das radiale Dichteprofil konsistent beschrieben werden. Der Schaft einer Langmuirsonde reduziert in einem magnetisierten Plasma die Elektronendichte. Dieses wurde mit zwei Sonden untersucht. Es wird eine globale Teilchenbilanz vorgestellt, die diese Reduktion beschreibt. Bringt man einen Limiter in ein strömendes magnetisiertes Plasma ein, so bildet sich hinter diesem ein Schatten aus. Vor dem Limiter zeigt sich für einige Plasmaregime ein inverser Schatten. Beide sind durch die starke Abhängigkeit der Emissivität von der Elektronentemperatur zu erklären. Ortsaufgelöste Messungen mit Langmuirsonden und optischer Spektroskopie bestätigen dieses experimentell und zeigen kurze Skalenlängen der Dichte für den Abfall vor und den Anstieg hinter einem Limiter. Die Längen zeigen keine klare Skalierung mit dem Ionengyrationsradius. Es werden ortsaufgelöste Messungen der Plasmaparameter mit einer Langmuirsonde vor einem Limiter unter schrägem Einfall vorgestellt. In Wasserstoffplasmen lässt sich der Dichteverlauf mit dem Modell von Chodura [Cho:82] gut beschreiben. In einer stationären Bogenentladung sind Fluktuationen in der Entladungsspannung zu finden. Diese Fluktuationen erzeugen suprathermische Elektronen, die von Limitern geblockt werden. Durch das Einbringen von Limitern werden turbulente räumliche Strukturen erzeugt, die in das Schattengebiet eindringen. Diese sind sowohl optisch mit Photomultipliern als auch als Fluktuation des Ionensättigungsstromes einer Langmuirsonde nachweisbar. Die Strukturen können den Quertransport in den Plasmaschatten verstärken. / The transport phenomena of magnetized plasmas in the vicinity of a material limiter have been investigated. The investigations were carried out at the linear plasma generator PSI-2 with electrical and optical diagnostics. The perpendicular diffusion coefficient was determined as D= 5 m^2/s with a magnetic field dependence of 1/B. The dominant process of the radial transport is therefore anomalous. By consideration of volume ionization the radial density profile can be consistently described. The shaft of a Langmuir probe acts as a particle sink and reduces electron density. This was investigated using two probes. The reduction can be explained in terms of a global particle model. On immersing a limiter into a streaming, magnetized plasma a distinct shadow region is observed downstream of the target. In addition, for some plasma conditions the region upstream of the target forms an inverse shadow. Both observations can be explained by the strong dependence of the emissivity on electron temperature. This is confirmed experimentally by Langmuir probes and optical spectroscopy. Spatially resolved measurements reveal short scale lengths for a decrease of density in front of and an increase behind a limiter. These lengths do not clearly scale with the ion gyroradius. Spatially resolved Langmuir probe measurements taken in front of a limiter at oblique incidence are presented. For hydrogen plasmas the model of Chodura [Cho:82] describes the density profile quite well. In a stationary arc discharge fluctuations in the discharge voltage are found. The fluctuations produce suprathermal electrons. These electrons are blocked by limiters. A limited plasma produces turbulent spatial structures which penetrate into the shadow region. These structures can be detected with photomultipliers and also as a fluctuation in the ion saturation current of a Langmuir probe. They can enhance perpendicular transport into the plasma shadow.

No description available.

This work addresses properties of two-component lipid membranes on the experimentally relevant spatial scales of order of a micrometer and time intervals of order of a second by means of lattice-based Monte Carlo (MC) simulations. To be able to do that with reasonable computational efforts the lipid membrane is modeled as a square lattice of lipid molecules with next-neighbor interaction. This allows for efficient computation and thus provides a large-scale simulation with which it was possible to obtain important results previously not reported in simulation studies of lipid membranes. After properly tuning the next-neighbor interaction energies the simulation reproduces the experimental phase diagram of the DMPC/DSPC lipid system which is used as a model system in this work. Beyond that, the MC simulation provides a more detailed description of the phase behavior of the lipid mixture than the experimental data. It is found that, within a certain range of lipid compositions, the phase transition from the fluid phase to the fluid–gel phase coexistence proceeds via near-critical fluctuations, while for other lipid compositions this phase transition has a quasi-abrupt character. The complete combined state and component phase diagram is constructed by structure function analysis which confirms the existence of a critical point in the system. The dynamics of membrane coarsening after an abrupt temperature quench to the fluid–gel coexistence region of the phase diagram are studied. In this context, it is found that lateral diffusion of lipids plays an important role in the fluid–gel phase separation process. Dynamic scaling is observed only if the ratio of gel and fluid phase in the membrane stays constant in time. The line tension characterizing lipid domains in the fluid–gel coexistence region is found to be in the pN range thus matching values both predicted theoretically and measured experimentally. When approaching the critical point, the line tension, the inverse correlation length of fluid–gel spatial fluctuations, and the corresponding inverse order parameter susceptibility of the membrane vanish in agreement with recent experimental findings for model lipid membranes. By simulating single particle tracking and fluorescence correlation spectroscopy experiments it is found that in the presence of near-critical fluctuations lipid molecules show transient subdiffusive behavior, which is a new result important for understanding the origins of subdiffusion in cell membranes which are believed to be close to a critical point. The membrane–cytoskeleton interaction strongly affects phase separation, enhances subdiffusion, and eventually leads to hop diffusion of lipids. Thus, a minimum realistic model for membrane rafts showing the features of both microscopic phase separation and subdiffusion is established.