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

Hydrodynamic correlation functions of a driven granular fluid in steady state

We study a homogeneously driven granular fluid of hard spheres at intermediate volume fractions and focus on time-delayed correlation functions in the stationary state. Inelastic collisions are modeled by incomplete normal restitution, allowing for efficient simulations with an event-driven algorithm. The incoherent scattering function Fincoh(q,t ) is seen to follow time-density superposition with a relaxation time that increases significantly as the volume fraction increases. The statistics of particle displacements is approximately Gaussian. For the coherent scattering function S(q,ω), we compare our results to the predictions of generalized fluctuating hydrodynamics, which takes into account that temperature fluctuations decay either diffusively or with a finite relaxation rate, depending on wave number and inelasticity. For sufficiently small wave number q we observe sound waves in the coherent scattering function S(q,ω) and the longitudinal current correlation function Cl(q,ω). We determine the speed of sound and the transport coefficients and compare them to the results of kinetic theory.

The inverse problem for Schwinger pair production

The production of electron–positron pairs in time-dependent electric fields (Schwinger mechanism) depends non-linearly on the applied field profile. Accordingly, the resulting momentum spectrum is extremely sensitive to small variations of the field parameters. Owing to this non-linear dependence it is so far unpredictable how to choose a field configuration such that a predetermined momentum distribution is generated. We show that quantum kinetic theory along with optimal control theory can be used to approximately solve this inverse problem for Schwinger pair production. We exemplify this by studying the superposition of a small number of harmonic components resulting in predetermined signatures in the asymptotic momentum spectrum. In the long run, our results could facilitate the observation of this yet unobserved pair production mechanism in quantum electrodynamics by providing suggestions for tailored field configurations.

A More Sophisticated Treatment of Collisions

An improved argument about collisions in gas phase kinetics is elaborated upon, based on textbook arguments which oversimplify the concepts.

“Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example

Evolutionary, pattern forming partial differential equations (PDEs) are often derived as limiting descriptions of microscopic, kinetic theory-based models of molecular processes (e.g., reaction and diffusion). The PDE dynamic behavior can be probed through direct simulation (time integration) or, more systematically, through stability/bifurcation calculations; time-stepper-based approaches, like the Recursive Projection Method [Shroff, G. M. & Keller, H. B. (1993) SIAM J. Numer. Anal. 30, 1099–1120] provide an attractive framework for the latter. We demonstrate an adaptation of this approach that allows for a direct, effective (“coarse”) bifurcation analysis of microscopic, kinetic-based models; this is illustrated through a comparative study of the FitzHugh-Nagumo PDE and of a corresponding Lattice–Boltzmann model.

Multicomponent diffusion in polymeric liquids.

It is shown how the phase-space kinetic theory of polymeric liquid mixtures leads to a set of extended Maxwell-Stefan equations describing multicomponent diffusion. This expression reduces to standard results for dilute solutions and for undiluted polymers. The polymer molecules are modeled as flexible bead-spring structures. To obtain the Maxwell-Stefan equations, the usual expression for the hydrodynamic drag force on a bead, used in previous kinetic theories, must be replaced by a new expression that accounts explicitly for bead-bead interactions between different molecules.

Polymer Fluid Dynamics: Continuum and Molecular Appoaches

To solve problems in polymer fluid dynamics, one needs the equation of continuity, motion, and energy. The last two equations contain the stress tensor and the heat-flux vector for the material. There are two ways to formulate the stress tensor: (1) one can write a continuum expression for the stress tensor in terms of kinematic tensors, or (2) one can select a molecular model that represents the polymer molecule, and then develop an expression for the stress tensor from kinetic theory. The advantage of the kinetic theory approach is that one gets information about the relation between the molecular structure of the polymers and the rheological properties. In this review, we restrict the discussion primarily to the simplest stress tensor expressions or “constitutive equations” containing from two to four adjustable parameters, although we do indicate how these formulations may be extended to give more complicated expressions. We also explore how these simplest expressions are recovered as special cases of a more general framework, the Oldroyd 8-constant model. The virtue of studying the simplest models is that we can discover some general notions as to which types of empiricisms or which types of molecular models seem to be worth investigating further. We also explore equivalences between continuum and molecular approaches. We restrict the discussion to several types of simple flows, such as shearing flows and extensional flows. These are the flows that are of greatest importance in industrial operations. Furthermore, if these simple flows cannot be well described by continuum or molecular models, then it is not necessary to lavish time and energy to apply them to more complex flow problems.

Elements of flight propulsion

Mode of access: Internet.

Théorie mécanique de la chaleur,

Vol. 2: Paris, Imprimerie nationale.

Thermodynamik und kinetik der körper,

Vol. 3 issued in 2 parts, 1905-08.

A system of physical chemistry,

Bibliographical footnotes.

The stochastic Gross-Pitaevskii equation: II

We provide a derivation of a more accurate version of the stochastic Gross-Pitaevskii equation, as introduced by Gardiner et al (2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555). This derivation does not rely on the concept of local energy and momentum conservation and is based on a quasiclassical Wigner function representation of a 'high temperature' master equation for a Bose gas, which includes only modes below an energy cut-off ER that are sufficiently highly occupied (the condensate band). The modes above this cutoff (the non-condensate band) are treated as being essentially thermalized. The interaction between these two bands, known as growth and scattering processes, provides noise and damping terms in the equation of motion for the condensate band, which we call the stochastic Gross-Pitaevskii equation. This approach is distinguished by the control of the approximations made in its derivation and by the feasibility of its numerical implementation.

Properties of the stochastic Gross-Pitaevskii equation: finite temperature Ehrenfest relations and the optimal plane wave representation

We present Ehrenfest relations for the high temperature stochastic Gross-Pitaevskii equation description of a trapped Bose gas, including the effect of growth noise and the energy cutoff. A condition for neglecting the cutoff terms in the Ehrenfest relations is found which is more stringent than the usual validity condition of the truncated Wigner or classical field method-that all modes are highly occupied. The condition requires a small overlap of the nonlinear interaction term with the lowest energy single particle state of the noncondensate band, and gives a means to constrain dynamical artefacts arising from the energy cutoff in numerical simulations. We apply the formalism to two simple test problems: (i) simulation of the Kohn mode oscillation for a trapped Bose gas at zero temperature, and (ii) computing the equilibrium properties of a finite temperature Bose gas within the classical field method. The examples indicate ways to control the effects of the cutoff, and that there is an optimal choice of plane wave basis for a given cutoff energy. This basis gives the best reproduction of the single particle spectrum, the condensate fraction and the position and momentum densities.

Time scale analysis for fluidized bed melt granulation I: granule-granule and granule-droplet collision rates

Fluidized bed spray granulators (FBMG) are widely used in the process industry for particle size growth; a desirable feature in many products, such as granulated food and medical tablets. In this paper, the first in a series of four discussing the rate of various microscopic events occurring in FBMG, theoretical analysis coupled with CFD simulations have been used to predict granule–granule and droplet–granule collision time scales. The granule–granule collision time scale was derived from principles of kinetic theory of granular flow (KTGF). For the droplet–granule collisions, two limiting models were derived; one is for the case of fast droplet velocity, where the granule velocity is considerable lower than that of the droplet (ballistic model) and another for the case where the droplet is traveling with a velocity similar to the velocity of the granules. The hydrodynamic parameters used in the solution of the above models were obtained from the CFD predictions for a typical spray fluidized bed system. The granule–granule collision rate within an identified spray zone was found to fall approximately within the range of 10-2–10-3 s, while the droplet–granule collision was found to be much faster, however, slowing rapidly (exponentially) when moving away from the spray nozzle tip. Such information, together with the time scale analysis of droplet solidification and spreading, discussed in part II and III of this study, are useful for probability analysis of the various event occurring during a granulation process, which then lead to be better qualitative and, in part IV, quantitative prediction of the aggregation rate.

A priori prediction of aggregation efficiency and rate constant for fluidized bed melt granulation

This paper presents a predictive aggregation rate model for spray fluidized bed melt granulation. The aggregation rate constant was derived from probability analysis of particle–droplet contact combined with time scale analysis of droplet solidification and granule–granule collision rates. The latter was obtained using the principles of kinetic theory of granular flow (KTGF). The predicted aggregation rate constants were validated by comparison with reported experimental data for a range of binder spray rate, binder droplet size and operating granulator temperature. The developed model is particularly useful for predicting particle size distributions and growth using population balance equations (PBEs).