Maximum principle, mean value operators and quasi boundedness in non-euclidean settings

This work deals with some classes of linear second order partial differential operators with non-negative characteristic form and underlying non- Euclidean structures. These structures are determined by families of locally Lipschitz-continuous vector fields in RN, generating metric spaces of Carnot- Carath´eodory type. The Carnot-Carath´eodory metric related to a family {Xj}j=1,...,m is the control distance obtained by minimizing the time needed to go from two points along piecewise trajectories of vector fields. We are mainly interested in the causes in which a Sobolev-type inequality holds with respect to the X-gradient, and/or the X-control distance is Doubling with respect to the Lebesgue measure in RN. This study is divided into three parts (each corresponding to a chapter), and the subject of each one is a class of operators that includes the class of the subsequent one. In the first chapter, after recalling “X-ellipticity” and related concepts introduced by Kogoj and Lanconelli in [KL00], we show a Maximum Principle for linear second order differential operators for which we only assume a Sobolev-type inequality together with a lower terms summability. Adding some crucial hypotheses on measure and on vector fields (Doubling property and Poincar´e inequality), we will be able to obtain some Liouville-type results. This chapter is based on the paper [GL03] by Guti´errez and Lanconelli. In the second chapter we treat some ultraparabolic equations on Lie groups. In this case RN is the support of a Lie group, and moreover we require that vector fields satisfy left invariance. After recalling some results of Cinti [Cin07] about this class of operators and associated potential theory, we prove a scalar convexity for mean-value operators of L-subharmonic functions, where L is our differential operator. In the third chapter we prove a necessary and sufficient condition of regularity, for boundary points, for Dirichlet problem on an open subset of RN related to sub-Laplacian. On a Carnot group we give the essential background for this type of operator, and introduce the notion of “quasi-boundedness”. Then we show the strict relationship between this notion, the fundamental solution of the given operator, and the regularity of the boundary points.

Internal Model Principle: extension to the switching case and applications

This thesis deals with a novel control approach based on the extension of the well-known Internal Model Principle to the case of periodic switched linear exosystems. This extension, inspired by power electronics applications, aims to provide an effective design method to robustly achieve the asymptotic tracking of periodic references with an infinite number of harmonics. In the first part of the thesis the basic components of the novel control scheme are described and preliminary results on stabilization are provided. In the second part, advanced control methods for two applications coming from the world high energy physics are presented.

First measurements of the aSPECT spectrometer

The aSPECT spectrometer has been constructed to measure, with high precision, the integral proton spectrum of the free neutron decay. From this spectrum the neutrino electron angular correlation coefficient a can be inferred. The coefficient a is involved in several Standard Model tests, like the unitarity test of the Cabibbo-Kobayashi-Maskawa quark mixing matrix. aSPECT has been designed to determine the coefficient a with an accuracy better than 3×10−4, that is, one order of magnitude better than the best current accuracy. First measurements with neutron beam with the aSPECT spectrometer were performed in the Forschungsneutronenquelle Heinz Maier-Leibnitz, in Munich. A study of the data taken in this period is presented in this thesis, demonstrating the proof of principle of the spectrometer. However, the observation of situation and time-dependent background instabilities impedes the report of a new value of the coefficient a. A thorough data analysis is carried out to identify sources of these background instabilities in order to improve the aSPECT experiment for future beam times. The investigation indicates that trapped particles are most likely the reason for the background problems. Furthermore, it has been observed that measurements containing less trapped particles provide a-values closer to the currently Particle Data Group value. Based on this findings, different measures are proposed to eliminate potential traps in the spectrometer. Indeed, with the proposed modifications realized for the following beam-times, the observed background instabilities were greatly reduced.

A new class of bragg stacks and its principle application

This work is focused on the development of high quality nanoporous 1D photonic crystals –so called Bragg stacks – made by spin-coating of approximately 25 nm large SiO2 and TiO2 nanoparticles bearing interparticle voids large enough to infiltrate reactive species. Therefore, the first part of this work describes the synthesis of well-dispersed TiO2 nanoparticles in this size range (the corresponding SiO2 nanoparticles are commercially available). In the second part, a protocol was developed to prepare nanoporous Bragg stacks of up to 12 bilayers with high quality and precision. Tailor-made Bragg stacks were prepared for different applications such as (i) a surface emitting feedback laser with a FWHM of only 6 nm and (ii) an electrochromic device with absorption reversibly switchable by an external electrical bias independently of the Bragg reflection. In the last chapter, the approach to 1D photonic crystals is transferred to 1D phononic crystals. Contrast in the modulus is achieved by spin-coating SiO2 and PMMA as high and low moduli material. This system showed a band gap of fg = 12.6 GHz with a width of Dfg/fg = 4.5 GHz.

90 Nb: potential radionuclide for application in immuno-PET : development of appropriate production strategy and first in vivo evaluation of 90 Nb-labeled monoclonal antibody

Die Nuklearmedizin ist ein modernes und effektives Werkzeug zur Erkennung und Behandlung von onkologischen Erkrankungen. Molekulare Bildgebung, die auf dem Einsatz von Radiopharmaka basiert, beinhaltet die Einzel-Photonen-Emissions-Tomographie (SPECT) und Positronenemissions¬tomographie (PET) und ermöglicht die nicht-invasive Visualisierung von Tumoren auf nano-und picomolarer Ebene.rnDerzeit werden viele neue Tracer für die genauere Lokalisierung von kleinen Tumoren und Metastasen eingeführt und hinsichtlich ihrer Eignung untersucht. Die meisten von ihnen sind Protein-basierte Biomoleküle, die die Natur selbst als Antigene für die Tumorzellen produziert. Dabei spielen Antikörper und Antikörper-Fragmente eine wichtige Rolle in der Tumor-Diagnostik und Behandlung. Die PET-Bildgebung mit Antikörpern und Antikörperfragmenten bezeichnet man als immuno-PET. Ein wichtiger Aspekt hierbei ist, dass entsprechende Radiopharmaka benötigt werden, deren Halbwertszeit mit der Halbwertszeit der Biomoleküle korreliert ist.rnIn neueren Arbeiten wird 90Nb als potenzieller Kandidat für die Anwendung in der immuno-PET vorgeschlagen. Seine Halbwertszeit von 14,6 Stunden ist geeignet für die Anwendung mit Antikörperfragmenten und einige intakten Antikörpern. 90Nb hat eine relativ hohen Anteil an Positronenemission von 53% und eine optimale Energie für die β+-Emission von 0,35 MeV, die sowohl eine hohe Qualität der Bildgebung als auch eine niedrige Aktivitätsmenge des Radionuklids ermöglicht.rnErsten grundlegende Untersuchungen zeigten: i) dass 90Nb in ausreichender Menge und Reinheit durch Protonen-Bombardierung des natürlichen Zirkonium Targets produziert, ii) aus dem Targetmaterial in entsprechender radiochemischer Reinheit isoliert und iii) zur Markierung des monoklonalen Antikörpers (Rituximab) verwendet werden kann und iv) dieser 90Nb-markierte mAb eine hohe in vitro Stabilität besitzt. Desweiteren wurde eine alternative und schnelle Abtrennungsmethode entwickelt, die es erlaubt 90Nb, mit einer geeigneten radiochemischen und radionuklidischen Reinheit für eine anschließende Markierung von Biomolekülen in einer Stunde zu aufzureinigen. Schließlich wurden erstmals 90Nb-markierte Biomolekülen in vivo untersucht. Desweiteren wurden auch Experimente durchgeführt, um den optimalen bifunktionellen Chelatbildner (BFC) für 90Niob zu finden. Mehrere BFC wurden hinsichtlich Komplexbildung mit NbV untersucht. Desferrioxamin (Df) erwies sich als geeignetster Chelator für 90Nb. Der monoklonale Antikörper Bevacizumab (Avastin®) wurde mit 90Nb markiert und eine Biodistributionsstudie und eine PET-Untersuchung durchgeführt. Alle diese Ergebnisse zeigten, dass 90Nb ein vielversprechendes Radionuklid für die Immuno-PET ist, welches sogar für weitere kommerzielle Anwendungen in der klinischen Routine geeignet zu sein scheint.rn

In vivo evaluation of the first dedicated combined flow-restoration and mechanical thrombectomy device in a swine model of acute vessel occlusion

The use of self-expanding retrievable stents is an emerging and promising treatment strategy for acute stroke treatment. The concept combines the advantages of stent deployment with immediate flow-restoration and of mechanical thrombectomy with definitive thrombus removal. The present study was performed to gain more knowledge about the principle of combined flow restoration and thrombectomy in an established animal model using radiopaque thrombi evaluating efficiency, thrombus-device interaction and possible complications of the first dedicated flow-restoration and mechanical thrombectomy device.

Drug treatment is superior to allografting as first-line therapy in chronic myeloid leukemia

Early allogeneic hematopoietic stem cell transplantation (HSCT) has been proposed as primary treatment modality for patients with chronic myeloid leukemia (CML). This concept has been challenged by transplantation mortality and improved drug therapy. In a randomized study, primary HSCT and best available drug treatment (IFN based) were compared in newly diagnosed chronic phase CML patients. Assignment to treatment strategy was by genetic randomization according to availability of a matched related donor. Evaluation followed the intention-to-treat principle. Six hundred and twenty one patients with chronic phase CML were stratified for eligibility for HSCT. Three hundred and fifty four patients (62% male; median age, 40 years; range, 11-59 years) were eligible and randomized. One hundred and thirty five patients (38%) had a matched related donor, of whom 123 (91%) received a transplant within a median of 10 months (range, 2-106 months) from diagnosis. Two hundred and nineteen patients (62%) had no related donor and received best available drug treatment. With an observation time up to 11.2 years (median, 8.9 years), survival was superior for patients with drug treatment (P = .049), superiority being most pronounced in low-risk patients (P = .032). The general recommendation of HSCT as first-line treatment option in chronic phase CML can no longer be maintained. It should be replaced by a trial with modern drug treatment first.

Maximum principle preserving high order schemes for convection-dominated diffusion equations

The maximum principle is an important property of solutions to PDE. Correspondingly, it's of great interest for people to design a high order numerical scheme solving PDE with this property maintained. In this thesis, our particular interest is solving convection-dominated diffusion equation. We first review a nonconventional maximum principle preserving(MPP) high order finite volume(FV) WENO scheme, and then propose a new parametrized MPP high order finite difference(FD) WENO framework, which is generalized from the one solving hyperbolic conservation laws. A formal analysis is presented to show that a third order finite difference scheme with this parametrized MPP flux limiters maintains the third order accuracy without extra CFL constraint when the low order monotone flux is chosen appropriately. Numerical tests in both one and two dimensional cases are performed on the simulation of the incompressible Navier-Stokes equations in vorticity stream-function formulation and several other problems to show the effectiveness of the proposed method.

Integration through Land Improvment – Internal Colonization in Switzerland During the First Part of the 20th Century

Internal colonization in Switzerland is often seen in connection with the battle for cultivation in the Second World War, but the history of internal colonization in Switzerland is more complex. The food crisis in the First World War formed the horizon of experience for various actors from industry, consumer protection, the urban population and agriculture to start considering practical strategies for managing agricultural production. In this way, traditional spaces, such as rural and urban areas and economic roles, such as food producer, consumer and trader, overlapped and were newly conceived to some extent: people started thinking about utopias and how a modern society could be designed to be harmonious and resistant to crisis. The aim of this article is to trace some of the key points in this process for the interwar years in neutral Switzerland. In the process, the focus must be on the context of people’s mentalities in the past, although the relationships between the actors of internal colonization and the state also need to be considered. Internal colonization in Switzerland in the twentieth century can be understood as an open process. In principle, the project was driven by private actors, but in times of crisis, the project was claimed by the state as a possible tool for social and economic intervention. In addition, as a result of the planned dissolution of urban and rural spaces, it will be shown that modern societies in the interwar period were on an existential search to overcome the problems of the modern age. Internal colonization can therefore be seen as an attempt to find a third way between a world characterized by an agrarian society and a modern industrial nation.

The Glucose-Dependent Insulinotropic Polypeptide Receptor: A Novel Target for Neuroendocrine Tumor Imaging-First Preclinical Studies

A new family of peptide receptors, the incretin receptor family, overexpressed on many neuroendocrine tumors (NETs) is of great importance because it may enable the in vivo peptide-based receptor targeting of a category of NETs that does not express the somatostatin receptor. Impressive in vivo diagnostic data were published for glucagonlike peptide 1 receptor-targeting radiopeptides. Recently, promising in vitro data have appeared for the second member of the incretin family, the glucose-dependent insulinotropic polypeptide (GIP) receptor. This prompted us to develop and evaluate a new class of radioligands with the potential to be used for the in vivo targeting of GIP receptor-positive tumors. METHODS GIP(1-42) was modified C-terminally, and the truncated peptides [Lys(30)(aminohexanoic acid [Ahx]-DOTA)]GIP(1-30)NH2 (EG1), [Lys(16)(Ahx-DOTA)]GIP(1-30)NH2 (EG2), and [Nle(14), Lys(30)(Ahx-DOTA)]GIP(1-30)NH2 (EG4) were conjugated with Ahx-DOTA via the Lys(16) and Lys(30) side chains. Their inhibitory concentration of 50% (IC50) was determined using [(125)I-Tyr(10)]GIP(1-30) as radioligand and GIP(1-30) as control peptide. The DOTA conjugates were labeled with (111)In and (68)Ga. In vitro evaluation included saturation and internalization studies using the pancreatic endocrine cell line INR1G9 transfected with the human GIP receptor (INR1G9-hGIPr). The in vivo evaluation consisted of biodistribution and PET imaging studies on nude mice bearing INR1G9-hGIPr tumors. RESULTS Binding studies (IC50 and saturation studies) showed high affinity toward GIP receptor for the GIP conjugates. Specific in vitro internalization was found, and almost the entire cell-associated activity was internalized (>90% of the cell-bound activity), supporting the agonist potency of the (111)In-vectors. (111)In-EG4 and (68)Ga-EG4 were shown to specifically target INR1G9-hGIPr xenografts, with tumor uptake of 10.4% ± 2.2% and 17.0% ± 4.4% injected activity/g, 1 h after injection, respectively. Kidneys showed the highest uptake, which could be reduced by approximately 40%-50% with a modified-fluid-gelatin plasma substitute or an inhibitor of the serine protease dipeptidyl peptidase 4. The PET images clearly visualized the tumor. CONCLUSION The evaluation of EG4 as a proof-of-principle radioligand indicated the feasibility of imaging GIP receptor-positive tumors. These results prompt us to continue the development of this family of radioligands for imaging of a broad spectrum of NETs.

Duration of unspecific prodromal and clinical high risk states, and early help-seeking in first-admission psychosis patients

PURPOSE Prevention of psychosis requires both presence of clinical high risk (CHR) criteria and early help-seeking. Previous retrospective studies of the duration of untreated illness (i.e. prodrome plus psychosis) did not distinguish between prodromal states with and without CHR symptoms. Therefore, we examined the occurrence of CHR symptoms and first help-seeking, thereby considering effects of age at illness-onset. METHODS Adult patients first admitted for psychosis (n = 126) were retrospectively assessed for early course of illness and characteristics of first help-seeking. RESULTS One-hundred and nine patients reported a prodrome, 58 with CHR symptoms. In patients with an early illness-onset before age 18 (n = 45), duration of both illness and psychosis were elongated, and CHR symptoms more frequent (68.9 vs. 33.3 %) compared to those with adult illness-onset. Only 29 patients reported help-seeking in the prodrome; this was mainly self-initiated, especially in patients with an early illness-onset. After the onset of first psychotic symptoms, help-seeking was mainly initiated by others. State- and age-independently, mental health professionals were the main first point-of-call (54.0 %). CONCLUSIONS Adult first-admission psychosis patients with an early, insidious onset of symptoms before age 18 were more likely to recall CHR symptoms as part of their prodrome. According to current psychosis-risk criteria, these CHR symptoms, in principle, would have allowed the early detection of psychosis. Furthermore, compared to patients with an adult illness-onset, patients with an early illness-onset were also more likely to seek help on their own account. Thus, future awareness strategies to improve CHR detection might be primarily related to young persons and self-perceived subtle symptoms.

Humanitarian intervention and the issue of state sovereignty in the discourse of legal experts between the 1830s and the First World War

This article discusses the tensions between the principle of state sovereignty and the idea of a "humanitarian intervention" (or a intervention on humanitarian grounds) as they resulted from the debate of leading legal scholars in the 19th and early 20th century. While prominent scholars such as Johann Caspar Bluntschli, Gustave Rolin Jaequemyns or Aegidius Arntz spoke out in favour of a form of "humanitarian interventions", others such as August Wilhelm Heffter or Pasquale Fiore were much more critical and in many cases spoke out in favour of absolute state sovereignty.

A description of Ithiel Town's improvement in the principle, construction, and practical execution of bridges, for roads, railroads, and aqueducts ... also critical remarks ... with practical and scientific remarks and observations.

Binder's title: Improvement in bridges.

A new principle for tight junction modulation based on occludin peptides

The aim of this study was to investigate whether peptides from the extracellular loops of the tight junction protein occludin could be used as a new principle for tight junction modulation. Peptides of 4 to 47 amino acids in length and covering the two extracellular loops of the tight junction protein occludin were synthesized, and their effect on the tight junction permeability in Caco-2 cells was investigated using [C-14] mannitol as a paracellular marker. Lipopeptide derivatives of one of the active occludin peptides (OPs), synthesized by adding a lipoamino acid containing 14 carbon atoms (C-14-) to the N terminus of the peptide, were also investigated. Peptides corresponding to the N terminus of the first extracellular loop of occludin increased the permeability of the tight junctions without causing short-term toxicity. However, the peptides had an effect only when added to the basolateral side of the cells, which could be partly explained by degradation by apical peptidases and aggregate formation. By contrast, the lipopeptide C-14-OP90-103, which protects the peptide from degradation and aggregation, displayed a rapid apical effect. The L- and D-diastereomers of C-14-OP90-103 had distinctly different effects. The D-isomer, which releases intact OP90-103 from the lipoamino acid, displayed a rapid and transient increase in tight junction permeability. The L- isomer, which releases OP90-103 more rapidly, gave a more sustained increase in tight junction permeability. In conclusion, C-14-OP90-103 represents a prototype of a new class of tight junction modulators that act on the extracellular domains of tight junction proteins.

First-principles quantum dynamics in interacting Bose gases II: stochastic gauges

First principles simulations of the quantum dynamics of interacting Bose gases using the stochastic gauge representation are analysed. In a companion paper, we showed how the positive-P representation can be applied to these problems using stochastic differential equations. That method, however, is limited by increased sampling error as time evolves. Here, we show how the sampling error can be greatly reduced and the simulation time significantly extended using stochastic gauges. In particular, local stochastic gauges (a subset) are investigated. Improvements are confirmed in numerical calculations of single-, double- and multi-mode systems in the weak-mode coupling regime. Convergence issues are investigated, including the recognition of two modes by which stochastic equations produced by phase-space methods in general can diverge: movable singularities and a noise-weight relationship. The example calculated here displays wave-like behaviour in spatial correlation functions propagating in a uniform 1D gas after a sudden change in the coupling constant. This could in principle be tested experimentally using Feshbach resonance methods.