Quercetin as a shuttle for labile iron

The antioxidant activity of flavonoids may involve their ability to complex body iron in non-redox-active forms. In this study, it was found that the catechol flavonoids rutin and quercetin are able to suppress redox-active labile plasma iron (LPI) in both buffered solution and in iron-overloaded sera. Both flavonoids are effective in loading the metal into the iron-transport protein transferrin. Iron derivatives of quercetin and rutin are able to permeate cell membranes, however, only free quercetin is able to gain access to the cytosol and decrease intracellular labile iron pools. These results suggest that the antioxidant activity of quercetin may be dependent on its ability to shuttle labile iron from cell compartments followed by its transfer to transferrin. (C) 2011 Elsevier Inc. All rights reserved.

Platelet-derived exosomes from septic shock patients induce myocardial dysfunction

Abstract Introduction Mechanisms underlying inotropic failure in septic shock are incompletely understood. We previously identified the presence of exosomes in the plasma of septic shock patients. These exosomes are released mainly by platelets, produce superoxide, and induce apoptosis in vascular cells by a redox-dependent pathway. We hypothesized that circulating platelet-derived exosomes could contribute to inotropic dysfunction of sepsis. Methods We collected blood samples from 55 patients with septic shock and 12 healthy volunteers for exosome separation. Exosomes from septic patients and healthy individuals were investigated concerning their myocardial depressant effect in isolated heart and papillary muscle preparations. Results Exosomes from the plasma of septic patients significantly decreased positive and negative derivatives of left ventricular pressure in isolated rabbit hearts or developed tension and its first positive derivative in papillary muscles. Exosomes from healthy individuals decreased these variables non-significantly. In hearts from rabbits previously exposed to endotoxin, septic exosomes decreased positive and negative derivatives of ventricular pressure. This negative inotropic effect was fully reversible upon withdrawal of exosomes. Nitric oxide (NO) production from exosomes derived from septic shock patients was demonstrated by fluorescence. Also, there was an increase in myocardial nitrate content after exposure to septic exosomes. Conclusion Circulating platelet-derived exosomes from septic patients induced myocardial dysfunction in isolated heart and papillary muscle preparations, a phenomenon enhanced by previous in vivo exposure to lipopolysaccharide. The generation of NO by septic exosomes and the increased myocardial nitrate content after incubation with exosomes from septic patients suggest an NO-dependent mechanism that may contribute to myocardial dysfunction of sepsis.

Rigidity for piecewise smooth homeomorphisms on the circle

We find conditions for two piecewise 'C POT.2+V' homeomorphisms f and g of the circle to be 'C POT.1' conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean-nonlinearity for f and g.

Astaxanthin determination in marine biological samples : an overview

Máster en Oceanografía

Horn-schunck optical flow with a multi-scale strategy

[EN] The seminal work of Horn and Schunck [8] is the first variational method for optical flow estimation. It introduced a novel framework where the optical flow is computed as the solution of a minimization problem. From the assumption that pixel intensities do not change over time, the optical flow constraint equation is derived. This equation relates the optical flow with the derivatives of the image. There are infinitely many vector fields that satisfy the optical flow constraint, thus the problem is ill-posed. To overcome this problem, Horn and Schunck introduced an additional regularity condition that restricts the possible solutions. Their method minimizes both the optical flow constraint and the magnitude of the variations of the flow field, producing smooth vector fields. One of the limitations of this method is that, typically, it can only estimate small motions. In the presence of large displacements, this method fails when the gradient of the image is not smooth enough. In this work, we describe an implementation of the original Horn and Schunck method and also introduce a multi-scale strategy in order to deal with larger displacements. For this multi-scale strategy, we create a pyramidal structure of downsampled images and change the optical flow constraint equation with a nonlinear formulation. In order to tackle this nonlinear formula, we linearize it and solve the method iteratively in each scale. In this sense, there are two common approaches: one that computes the motion increment in the iterations, like in ; or the one we follow, that computes the full flow during the iterations, like in. The solutions are incrementally refined ower the scales. This pyramidal structure is a standard tool in many optical flow methods.

Impatto di rifaximina sul microbiota intestinale: selezione di bifidobatteri antibiotico resistenti

The ideal approach for the long term treatment of intestinal disorders, such as inflammatory bowel disease (IBD), is represented by a safe and well tolerated therapy able to reduce mucosal inflammation and maintain homeostasis of the intestinal microbiota. A combined therapy with antimicrobial agents, to reduce antigenic load, and immunomodulators, to ameliorate the dysregulated responses, followed by probiotic supplementation has been proposed. Because of the complementary mechanisms of action of antibiotics and probiotics, a combined therapeutic approach would give advantages in terms of enlargement of the antimicrobial spectrum, due to the barrier effect of probiotic bacteria, and limitation of some side effects of traditional chemiotherapy (i.e. indiscriminate decrease of aggressive and protective intestinal bacteria, altered absorption of nutrient elements, allergic and inflammatory reactions). Rifaximin (4-deoxy-4’-methylpyrido[1’,2’-1,2]imidazo[5,4-c]rifamycin SV) is a product of synthesis experiments designed to modify the parent compound, rifamycin, in order to achieve low gastrointestinal absorption while retaining good antibacterial activity. Both experimental and clinical pharmacology clearly show that this compound is a non systemic antibiotic with a broad spectrum of antibacterial action, covering Gram-positive and Gram-negative organisms, both aerobes and anaerobes. Being virtually non absorbed, its bioavailability within the gastrointestinal tract is rather high with intraluminal and faecal drug concentrations that largely exceed the MIC values observed in vitro against a wide range of pathogenic microorganisms. The gastrointestinal tract represents therefore the primary therapeutic target and gastrointestinal infections the main indication. The little value of rifaximin outside the enteric area minimizes both antimicrobial resistance and systemic adverse events. Fermented dairy products enriched with probiotic bacteria have developed into one of the most successful categories of functional foods. Probiotics are defined as “live microorganisms which, when administered in adequate amounts, confer a health benefit on the host” (FAO/WHO, 2002), and mainly include Lactobacillus and Bifidobacterium species. Probiotic bacteria exert a direct effect on the intestinal microbiota of the host and contribute to organoleptic, rheological and nutritional properties of food. Administration of pharmaceutical probiotic formula has been associated with therapeutic effects in treatment of diarrhoea, constipation, flatulence, enteropathogens colonization, gastroenteritis, hypercholesterolemia, IBD, such as ulcerative colitis (UC), Crohn’s disease, pouchitis and irritable bowel syndrome. Prerequisites for probiotics are to be effective and safe. The characteristics of an effective probiotic for gastrointestinal tract disorders are tolerance to upper gastrointestinal environment (resistance to digestion by enteric or pancreatic enzymes, gastric acid and bile), adhesion on intestinal surface to lengthen the retention time, ability to prevent the adherence, establishment and/or replication of pathogens, production of antimicrobial substances, degradation of toxic catabolites by bacterial detoxifying enzymatic activities, and modulation of the host immune responses. This study was carried out using a validated three-stage fermentative continuous system and it is aimed to investigate the effect of rifaximin on the colonic microbial flora of a healthy individual, in terms of bacterial composition and production of fermentative metabolic end products. Moreover, this is the first study that investigates in vitro the impact of the simultaneous administration of the antibiotic rifaximin and the probiotic B. lactis BI07 on the intestinal microbiota. Bacterial groups of interest were evaluated using culture-based methods and molecular culture-independent techniques (FISH, PCR-DGGE). Metabolic outputs in terms of SCFA profiles were determined by HPLC analysis. Collected data demonstrated that rifaximin as well as antibiotic and probiotic treatment did not change drastically the intestinal microflora, whereas bacteria belonging to Bifidobacterium and Lactobacillus significantly increase over the course of the treatment, suggesting a spontaneous upsurge of rifaximin resistance. These results are in agreement with a previous study, in which it has been demonstrated that rifaximin administration in patients with UC, affects the host with minor variations of the intestinal microflora, and that the microbiota is restored over a wash-out period. In particular, several Bifidobacterium rifaximin resistant mutants could be isolated during the antibiotic treatment, but they disappeared after the antibiotic suspension. Furthermore, bacteria belonging to Atopobium spp. and E. rectale/Clostridium cluster XIVa increased significantly after rifaximin and probiotic treatment. Atopobium genus and E. rectale/Clostridium cluster XIVa are saccharolytic, butyrate-producing bacteria, and for these characteristics they are widely considered health-promoting microorganisms. The absence of major variations in the intestinal microflora of a healthy individual and the significant increase in probiotic and health-promoting bacteria concentrations support the rationale of the administration of rifaximin as efficacious and non-dysbiosis promoting therapy and suggest the efficacy of an antibiotic/probiotic combined treatment in several gut pathologies, such as IBD. To assess the use of an antibiotic/probiotic combination for clinical management of intestinal disorders, genetic, proteomic and physiologic approaches were employed to elucidate molecular mechanisms determining rifaximin resistance in Bifidobacterium, and the expected interactions occurring in the gut between these bacteria and the drug. The ability of an antimicrobial agent to select resistance is a relevant factor that affects its usefulness and may diminish its useful life. Rifaximin resistance phenotype was easily acquired by all bifidobacteria analyzed [type strains of the most representative intestinal bifidobacterial species (B. infantis, B. breve, B. longum, B. adolescentis and B. bifidum) and three bifidobacteria included in a pharmaceutical probiotic preparation (B. lactis BI07, B. breve BBSF and B. longum BL04)] and persisted for more than 400 bacterial generations in the absence of selective pressure. Exclusion of any reversion phenomenon suggested two hypotheses: (i) stable and immobile genetic elements encode resistance; (ii) the drug moiety does not act as an inducer of the resistance phenotype, but enables selection of resistant mutants. Since point mutations in rpoB have been indicated as representing the principal factor determining rifampicin resistance in E. coli and M. tuberculosis, whether a similar mechanism also occurs in Bifidobacterium was verified. The analysis of a 129 bp rpoB core region of several wild-type and resistant bifidobacteria revealed five different types of miss-sense mutations in codons 513, 516, 522 and 529. Position 529 was a novel mutation site, not previously described, and position 522 appeared interesting for both the double point substitutions and the heterogeneous profile of nucleotide changes. The sequence heterogeneity of codon 522 in Bifidobacterium leads to hypothesize an indirect role of its encoded amino acid in the binding with the rifaximin moiety. These results demonstrated the chromosomal nature of rifaximin resistance in Bifidobacterium, minimizing risk factors for horizontal transmission of resistance elements between intestinal microbial species. Further proteomic and physiologic investigations were carried out using B. lactis BI07, component of a pharmaceutical probiotic preparation, as a model strain. The choice of this strain was determined based on the following elements: (i) B. lactis BI07 is able to survive and persist in the gut; (ii) a proteomic overview of this strain has been recently reported. The involvement of metabolic changes associated with rifaximin resistance was investigated by proteomic analysis performed with two-dimensional electrophoresis and mass spectrometry. Comparative proteomic mapping of BI07-wt and BI07-res revealed that most differences in protein expression patterns were genetically encoded rather than induced by antibiotic exposure. In particular, rifaximin resistance phenotype was characterized by increased expression levels of stress proteins. Overexpression of stress proteins was expected, as they represent a common non specific response by bacteria when stimulated by different shock conditions, including exposure to toxic agents like heavy metals, oxidants, acids, bile salts and antibiotics. Also, positive transcription regulators were found to be overexpressed in BI07-res, suggesting that bacteria could activate compensatory mechanisms to assist the transcription process in the presence of RNA polymerase inhibitors. Other differences in expression profiles were related to proteins involved in central metabolism; these modifications suggest metabolic disadvantages of resistant mutants in comparison with sensitive bifidobacteria in the gut environment, without selective pressure, explaining their disappearance from faeces of patients with UC after interruption of antibiotic treatment. The differences observed between BI07-wt e BI07-res proteomic patterns, as well as the high frequency of silent mutations reported for resistant mutants of Bifidobacterium could be the consequences of an increased mutation rate, mechanism which may lead to persistence of resistant bacteria in the population. However, the in vivo disappearance of resistant mutants in absence of selective pressure, allows excluding the upsurge of compensatory mutations without loss of resistance. Furthermore, the proteomic characterization of the resistant phenotype suggests that rifaximin resistance is associated with a reduced bacterial fitness in B. lactis BI07-res, supporting the hypothesis of a biological cost of antibiotic resistance in Bifidobacterium. The hypothesis of rifaximin inactivation by bacterial enzymatic activities was verified by using liquid chromatography coupled with tandem mass spectrometry. Neither chemical modifications nor degradation derivatives of the rifaximin moiety were detected. The exclusion of a biodegradation pattern for the drug was further supported by the quantitative recovery in BI07-res culture fractions of the total rifaximin amount (100 μg/ml) added to the culture medium. To confirm the main role of the mutation on the β chain of RNA polymerase in rifaximin resistance acquisition, transcription activity of crude enzymatic extracts of BI07-res cells was evaluated. Although the inhibition effects of rifaximin on in vitro transcription were definitely higher for BI07-wt than for BI07-res, a partial resistance of the mutated RNA polymerase at rifaximin concentrations > 10 μg/ml was supposed, on the basis of the calculated differences in inhibition percentages between BI07-wt and BI07-res. By considering the resistance of entire BI07-res cells to rifaximin concentrations > 100 μg/ml, supplementary resistance mechanisms may take place in vivo. A barrier for the rifaximin uptake in BI07-res cells was suggested in this study, on the basis of the major portion of the antibiotic found to be bound to the cellular pellet respect to the portion recovered in the cellular lysate. Related to this finding, a resistance mechanism involving changes of membrane permeability was supposed. A previous study supports this hypothesis, demonstrating the involvement of surface properties and permeability in natural resistance to rifampicin in mycobacteria, isolated from cases of human infection, which possessed a rifampicin-susceptible RNA polymerase. To understand the mechanism of membrane barrier, variations in percentage of saturated and unsaturated FAs and their methylation products in BI07-wt and BI07-res membranes were investigated. While saturated FAs confer rigidity to membrane and resistance to stress agents, such as antibiotics, a high level of lipid unsaturation is associated with high fluidity and susceptibility to stresses. Thus, the higher percentage of saturated FAs during the stationary phase of BI07-res could represent a defence mechanism of mutant cells to prevent the antibiotic uptake. Furthermore, the increase of CFAs such as dihydrosterculic acid during the stationary phase of BI07-res suggests that this CFA could be more suitable than its isomer lactobacillic acid to interact with and prevent the penetration of exogenous molecules including rifaximin. Finally, the impact of rifaximin on immune regulatory functions of the gut was evaluated. It has been suggested a potential anti-inflammatory effect of rifaximin, with reduced secretion of IFN-γ in a rodent model of colitis. Analogously, it has been reported a significant decrease in IL-8, MCP-1, MCP-3 e IL-10 levels in patients affected by pouchitis, treated with a combined therapy of rifaximin and ciprofloxacin. Since rifaximin enables in vivo and in vitro selection of Bifidobacterium resistant mutants with high frequency, the immunomodulation activities of rifaximin associated with a B. lactis resistant mutant were also taken into account. Data obtained from PBMC stimulation experiments suggest the following conclusions: (i) rifaximin does not exert any effect on production of IL-1β, IL-6 and IL-10, whereas it weakly stimulates production of TNF-α; (ii) B. lactis appears as a good inducer of IL-1β, IL-6 and TNF-α; (iii) combination of BI07-res and rifaximin exhibits a lower stimulation effect than BI07-res alone, especially for IL-6. These results confirm the potential anti-inflammatory effect of rifaximin, and are in agreement with several studies that report a transient pro-inflammatory response associated with probiotic administration. The understanding of the molecular factors determining rifaximin resistance in the genus Bifidobacterium assumes an applicative significance at pharmaceutical and medical level, as it represents the scientific basis to justify the simultaneous use of the antibiotic rifaximin and probiotic bifidobacteria in the clinical treatment of intestinal disorders.

Non-Markovian stochastic processes and their applications: from anomalous diffusion to time series analysis

This work provides a forward step in the study and comprehension of the relationships between stochastic processes and a certain class of integral-partial differential equation, which can be used in order to model anomalous diffusion and transport in statistical physics. In the first part, we brought the reader through the fundamental notions of probability and stochastic processes, stochastic integration and stochastic differential equations as well. In particular, within the study of H-sssi processes, we focused on fractional Brownian motion (fBm) and its discrete-time increment process, the fractional Gaussian noise (fGn), which provide examples of non-Markovian Gaussian processes. The fGn, together with stationary FARIMA processes, is widely used in the modeling and estimation of long-memory, or long-range dependence (LRD). Time series manifesting long-range dependence, are often observed in nature especially in physics, meteorology, climatology, but also in hydrology, geophysics, economy and many others. We deepely studied LRD, giving many real data examples, providing statistical analysis and introducing parametric methods of estimation. Then, we introduced the theory of fractional integrals and derivatives, which indeed turns out to be very appropriate for studying and modeling systems with long-memory properties. After having introduced the basics concepts, we provided many examples and applications. For instance, we investigated the relaxation equation with distributed order time-fractional derivatives, which describes models characterized by a strong memory component and can be used to model relaxation in complex systems, which deviates from the classical exponential Debye pattern. Then, we focused in the study of generalizations of the standard diffusion equation, by passing through the preliminary study of the fractional forward drift equation. Such generalizations have been obtained by using fractional integrals and derivatives of distributed orders. In order to find a connection between the anomalous diffusion described by these equations and the long-range dependence, we introduced and studied the generalized grey Brownian motion (ggBm), which is actually a parametric class of H-sssi processes, which have indeed marginal probability density function evolving in time according to a partial integro-differential equation of fractional type. The ggBm is of course Non-Markovian. All around the work, we have remarked many times that, starting from a master equation of a probability density function f(x,t), it is always possible to define an equivalence class of stochastic processes with the same marginal density function f(x,t). All these processes provide suitable stochastic models for the starting equation. Studying the ggBm, we just focused on a subclass made up of processes with stationary increments. The ggBm has been defined canonically in the so called grey noise space. However, we have been able to provide a characterization notwithstanding the underline probability space. We also pointed out that that the generalized grey Brownian motion is a direct generalization of a Gaussian process and in particular it generalizes Brownain motion and fractional Brownain motion as well. Finally, we introduced and analyzed a more general class of diffusion type equations related to certain non-Markovian stochastic processes. We started from the forward drift equation, which have been made non-local in time by the introduction of a suitable chosen memory kernel K(t). The resulting non-Markovian equation has been interpreted in a natural way as the evolution equation of the marginal density function of a random time process l(t). We then consider the subordinated process Y(t)=X(l(t)) where X(t) is a Markovian diffusion. The corresponding time-evolution of the marginal density function of Y(t) is governed by a non-Markovian Fokker-Planck equation which involves the same memory kernel K(t). We developed several applications and derived the exact solutions. Moreover, we considered different stochastic models for the given equations, providing path simulations.

A new insight in stress recovery tecniques and hessian reconstruction methods

Stress recovery techniques have been an active research topic in the last few years since, in 1987, Zienkiewicz and Zhu proposed a procedure called Superconvergent Patch Recovery (SPR). This procedure is a last-squares fit of stresses at super-convergent points over patches of elements and it leads to enhanced stress fields that can be used for evaluating finite element discretization errors. In subsequent years, numerous improved forms of this procedure have been proposed attempting to add equilibrium constraints to improve its performances. Later, another superconvergent technique, called Recovery by Equilibrium in Patches (REP), has been proposed. In this case the idea is to impose equilibrium in a weak form over patches and solve the resultant equations by a last-square scheme. In recent years another procedure, based on minimization of complementary energy, called Recovery by Compatibility in Patches (RCP) has been proposed in. This procedure, in many ways, can be seen as the dual form of REP as it substantially imposes compatibility in a weak form among a set of self-equilibrated stress fields. In this thesis a new insight in RCP is presented and the procedure is improved aiming at obtaining convergent second order derivatives of the stress resultants. In order to achieve this result, two different strategies and their combination have been tested. The first one is to consider larger patches in the spirit of what proposed in [4] and the second one is to perform a second recovery on the recovered stresses. Some numerical tests in plane stress conditions are presented, showing the effectiveness of these procedures. Afterwards, a new recovery technique called Last Square Displacements (LSD) is introduced. This new procedure is based on last square interpolation of nodal displacements resulting from the finite element solution. In fact, it has been observed that the major part of the error affecting stress resultants is introduced when shape functions are derived in order to obtain strains components from displacements. This procedure shows to be ultraconvergent and is extremely cost effective, as it needs in input only nodal displacements directly coming from finite element solution, avoiding any other post-processing in order to obtain stress resultants using the traditional method. Numerical tests in plane stress conditions are than presented showing that the procedure is ultraconvergent and leads to convergent first and second order derivatives of stress resultants. In the end, transverse stress profiles reconstruction using First-order Shear Deformation Theory for laminated plates and three dimensional equilibrium equations is presented. It can be seen that accuracy of this reconstruction depends on accuracy of first and second derivatives of stress resultants, which is not guaranteed by most of available low order plate finite elements. RCP and LSD procedures are than used to compute convergent first and second order derivatives of stress resultants ensuring convergence of reconstructed transverse shear and normal stress profiles respectively. Numerical tests are presented and discussed showing the effectiveness of both procedures.

Von zwei- zu dreidimensionalen Graphitausschnitten

Zusammenfassung: 'Von zwei- zu dreidimensionalen Graphitausschnitten'Dissertation Florian Dötz Die vorliegende Arbeit zeichnet den synthetischen Weg von zwei- zu dreidimensionalen Graphitausschnitten nach und thematisiert insbesondere die Schnittstelle dieser beiden Bereiche, die durch den Übergang von planaren Systemen zu räumlichen Strukturen verkörpert wird und daher die Darstellung nicht-planarer polycyclischer aromatischer Kohlenwasserstoffe (PAH) vorsieht. Diese Zielsetzung mündet in einer dreiteiligen Gliederung der angefertigten Dissertation und sieht im ersten Teil die Synthese planarer Graphitsegmente durch oxidative Cyclodehydrierung entsprechender Oligophenylvorläufer mit Eisen(III)chlorid vor, gefolgt von der Darstellung nicht-planarer PAHs mit denselben oxidativen Methoden sowie der Präparation und Charakterisierung dreidimensionaler, supramolekularer PAH-Aggregate.Der erste Abschnitt beschreibt die Synthese von kleineren PAHs als Modellverbindung für größere Systeme und ihre UV-spektroskopische Charakterisierung. Daran anknüpfend wird die Synthese mehrerer heteroatomsubstituierter Derivate des Hexa-peri-hexabenzocoronens (HBC) vorgestellt und ihre flüssigkristallinen Eigenschaften eingehend untersucht. Dabei wurde mit der oxidativen Cyclodehydrierung geeigneter Vorläufer auf Einkristalloberflächen ein neuer Weg zur Synthese dieser Verbindungen etabliert.Im Zentrum des zweiten Teils dieser Arbeit stand die Induktion von Nichtplanarität in ausgedehnten PAHs mit den im ersten Abschnitt entwickelten Synthesekonzepten. Hier konnte mit der erfolgreichen Darstellung eines 18fach methoxysubstituierten HBC-Derivats eine erstaunliche Krümmung des aromatischen Systems erreicht werden, wie durch Kristallstrukturanalyse gezeigt wurde. Anhand mehrerer Beispiele wurde ebenso die Leistungsfähigkeit der verwendeten Cyclodehydrierungsmethode verdeutlicht, da viele Vorläufermoleküle gegenüber den Reaktionsbedingungen nicht inert sind.Der letzte Teil dieser Arbeit beschreibt schließlich die Präparation und Charakterisierung dreidimensionaler, supramolekularer PAH-Aggregate auf der Basis von HBC-Amiden, deren Eigenschaften sich durch eine sorgfältige Wahl der jeweiligen Monomerbausteine manipulieren lassen. Bei Verwendung von chiralen Monomeren wird hier die Expression von supramolekularer Chiralität erreicht und durch spektroskopische und chiroptische Methoden belegt.

Synthese, Radioiodierung und Evaluierung von neuen MGMT-Inhibitoren und ihren Glucose-Konjugaten

Eine häufige Art der Chemotherapie ist die Behandlung von Tumoren mit alkylierenden oder chloralkylierenden Zytostatika, die eine Alkylierung von Guanin in der DNA verursachen. Daraus resultieren eine Blockierung der DNA-Synthese und ein Rückgang im Tumorwachstum. Das Enzym O6-Methylguanin-DNA-methyltransferase (MGMT) ist in der Lage, solche Schäden zu reparieren. Da MGMT auch in verschiedenen Tumorarten exprimiert wird, eine Tatsache, die therapeutische Effekte verringern könnte, wird zur Zeit die Gabe von Inhibitoren der MGMT, wie O6-Benzylguanin, vor der eigentlichen Chemotherapie untersucht. Um möglicher Weise die Selektivität dieser Verbindungen für Tumor- vs. gesundem Gewebe und auch die in vivo-Eigenschaften zu verbessern, wurden glycosylierte Inhibitoren vorgeschlagen. Für eine Entwicklung neuer MGMT-Inhibitoren wäre es hilfreich, die in vivo Bioverteilung in Tier und Mensch durch eine Markierung mit geeigneten Isotopen verfolgen zu können. Im Moment existiert keine Möglichkeit, den MGMT-Status eines Tumors nicht-invasiv zu visualisieren. Diese Information kann sehr wichtig für die Planung einer Chemotherapie mit alkylierenden oder chloralkylierenden Zytostatika sein. Mit Methoden wie der Positronen-Emissions-Tomographie (PET) oder der Einzel-Photonen-Emissions-Tomographie (SPECT) ist eine nicht-invasive Quantifizierung von biochemischen Prozessen prinzipiell möglich. Hierfür wurden verschiedenen MGMT-Inhibitoren bereits mit Isotopen wie Fluor-18, Kohlenstoff-11 un Iod-131 markiert, aber sie waren aus unterschiedlichen Gründen nicht geeignet. Das Ziel dieser Arbeit war die Entwicklung von neuen O6-derivatisierten Guaninen, die über einen C8-Spacer an der N9-Position des Guanins mit einer Glucose-Einheit konjugiert werden sollten, geeigneten Markierungsvorläufern und Radioiodierungs-Methoden. Durch Wahl eines geeigneten Radioiodisotops für die Markierung des Restes an der O6-Position des Guanins kann die ex vivo-Bioverteilung dieser Verbindungen in tumortragenden Nacktmäusen (Iod-131) und die Untersuchung der in vivo-Verteilung (Iod-123) durchgeführt werden. Daher wurden O6-(5-Iodothenyl)- (ITG) und O6-(3-Iodbenzyl)guanin-Derivate (IBG) sowie ihre Glucose-Konjugate ITGG und IBGG synthetisiert. Von diesen inaktiven Standard-Verbindungen wurden die IC50-Werte zur MGMT bestimmt. Da sie alle im nM-Bereich lagen, schienen die Verbindungen für weitere Untersuchungen geeignet zu sein. Die Radiomarkierung der Inhibitoren mit Iod-131 bzw. Iod-123 wurde durch Umsetzung der Trialkyl-stannylierten Markierungsvorläufer mit der Chloramin T-Methode in mittleren (Iod-123) bis hohen (Iod-131) radiochemischen Ausbeuten und mit hohen radiochemischen Reinheiten durchgeführt. Mit den 131I-iodierten Verbindungen wurde die spezifische Bindung zur MGMT nachgewiesen, eine Eigenschaft, die essentiell für eine weitere Verwendung dieser Derivate ist. Sie wurden auch zur Bestimmung der ex vivo-Tumor- und Organverteilung in tumortragenden Nacktmäusen (MEX(+), MEX(-), Glioblastom) verwendet. In allen Fällen war die Tumoraufnahme der nicht-konjugierten Guanin-Derivate höher als die der entsprechenden Glucose-Konjugate. Das Tumor-Blut-Verhältnis, das sehr wichtig für einen potentiellen Einsatz der Verbindungen als Tracer des MGMT-Status eines Tumors ist, variierte abhängig von der Kinetik. Zu allen Zeitpunkten war die in vivo-Deiodierung der Glucose-Konjugate deutlich geringer als die von ITG oder IBG. Unter Verwendung von [131I]IBG und [131I]IBGG wurde die Biodistribution nach Inhibition der Natrium-abhängigen Glucose-Transporter, die zumindests teilweise für die Aufnahme der MGMT-Inhibitoren in Zellen verantwortlich sind, durch Phloretin untersucht. Einen Unterschied in der Tumoraufnahme zwischen den mit Phloretin behandelten und den unbehandelten Mäusen konnte nicht beobachtet werden, wahrscheinlich weil die Akkumulation im Tumor generell niedrig war. Mit den 123I-iodierten Verbindungen [123I]IBG und [123I]IBGG wurden in vivo-Scans an tumortragenden Nacktmäusen (MEX(+), MEX(-)) mit einer Kleintier-SPECT-Kamera durchgeführt. In beiden Fällen wurde eine geringe Akkumulation in den Tumoren im Vergleich zu anderen Organen beobachtet, was die ex vivo-Biodistributionsdaten bestätigte.

Über die Existenz invarianter Tori in Hamiltonschen Systemen, die bis auf eine endlich oft differenzierbare Störung analytisch und integrabel sind

Es wird die Existenz invarianter Tori in Hamiltonschen Systemen bewiesen, die bis auf eine 2n-mal stetig differenzierbare Störung analytisch und integrabel sind, wobei n die Anzahl der Freiheitsgrade bezeichnet. Dabei wird vorausgesetzt, dass die Stetigkeitsmodule der 2n-ten partiellen Ableitungen der Störung einer Endlichkeitsbedingung (Integralbedingung) genügen, welche die Hölderbedingung verallgemeinert. Bisher konnte die Existenz invarianter Tori nur unter der Voraussetzung bewiesen werden, dass die 2n-ten Ableitungen der Störung hölderstetig sind.

(S)-(-)-Curvularin als Leitstruktur für die Synthese neuartiger antiinflammatorischer Wirkstoffe

Ziel dieser Arbeit war die Darstellung antiinflammatorischer Wirkstoffe basierend auf (S)-(-)-Curvularin. Zur Ermittlung von Struktur-Aktivitäts-Beziehungen sollte eine möglichst große Zahl an Derivaten dargestellt und in Zusammenarbeit mit pharmakologischen und mikrobiologischen Arbeitsgruppen. Es wurde ein neuer und effizienter totalsynthetischer Zugang zu Curvularin sowie analogen Ringsystemen erarbeitet mit einer Ringschluss-Metathese als Schlüsselschritt zur Bildung des Makrocyclus. Ausgehend von den Synthesebausteinen 3,5-Dihydroxyphenylessigsäure und (S)-Propenoxid gelang die Darstellung des Naturstoffes (S) ( )-Curvularin mit einer Gesamtausbeute von 10 % über sieben Stufen. Der Naturstoff Curvularin selbst wurde durch Modifikationen an den phenolischen Funktionen, durch elektrophile aromatische Substitution, Reduktion sowie konjugierte Addition an den Naturstoff 10,11-Dehydrocurvularin derivatisiert. Mit diesen synthetischen Ansätzen konnten die Strukturelemente des Naturstoffes systematisch variiert werden und es konnten insgesamt 28 Makrolactone synthetisiert werden. Anhand der biologischen Evaluierung der Verbindungen ließen sich Rückschlüsse auf die pharmakophoren Gruppen des Naturstoffes ziehen, bei vier der synthetisierten Verbindungen konnten im Vergleich zu Curvularin eine höhere biologische Aktivität erzielt werden. Anhand der Erkenntnisse aus den biologischen Tests ließen sich strukturell einfachere Verbindungen als potentielle Wirkstrukturen entwerfen. Es wurden verschiedene ortho-acylierte 3,5-Dihydroxyphenylessigsäurederivate sowie substituierte 6,8-Dihydoxytetralon- und 6,8-Dihydroxyisochinolon-Verbindungen synthetisiert. Diese vereinfachten Partialstrukturen zeigten eine geringere biologischen Aktivität als der Naturstoff.

Black-scholes type equations

In this work we are concerned with the analysis and numerical solution of Black-Scholes type equations arising in the modeling of incomplete financial markets and an inverse problem of determining the local volatility function in a generalized Black-Scholes model from observed option prices. In the first chapter a fully nonlinear Black-Scholes equation which models transaction costs arising in option pricing is discretized by a new high order compact scheme. The compact scheme is proved to be unconditionally stable and non-oscillatory and is very efficient compared to classical schemes. Moreover, it is shown that the finite difference solution converges locally uniformly to the unique viscosity solution of the continuous equation. In the next chapter we turn to the calibration problem of computing local volatility functions from market data in a generalized Black-Scholes setting. We follow an optimal control approach in a Lagrangian framework. We show the existence of a global solution and study first- and second-order optimality conditions. Furthermore, we propose an algorithm that is based on a globalized sequential quadratic programming method and a primal-dual active set strategy, and present numerical results. In the last chapter we consider a quasilinear parabolic equation with quadratic gradient terms, which arises in the modeling of an optimal portfolio in incomplete markets. The existence of weak solutions is shown by considering a sequence of approximate solutions. The main difficulty of the proof is to infer the strong convergence of the sequence. Furthermore, we prove the uniqueness of weak solutions under a smallness condition on the derivatives of the covariance matrices with respect to the solution, but without additional regularity assumptions on the solution. The results are illustrated by a numerical example.

Synthese eines 67-gliedrigen [2]Catenans und seines Konstitutionsisomeren als Bausteine für Polymere

Im Rahmen der Dissertation zum Thema „Synthese eines 67-gliedrigen [2]Catenans und seines Konstitutionsisomeren als Bausteine für Polymere“ ist die Darstellung eines neuen, funktionalisierten [2]Catenans mit 67-gliedrigen Ringen gelungen. Zum Aufbau der Catenanuntereinheiten wurde die Synthese einer langen Kette entwickelt, die zu einem 67-gliedrigen Makrozyklus führte. Die im Catenan eingebauten Ester-Funktionalitäten konnten in die Säure überführt werden, die entweder direkt oder auch nach einer nochmaligen Derivatisierung in einer Polymerisationsreaktion eingesetzt werden könnte. Durch die Darstellung des neuen [2]Catenans wurde die in der Arbeitsgruppe von A. Godt entwickelte Catenan-Synthesestrategie optimiert und gezeigt, dass sie auf ein Molekül mit kleineren Ringgrößen übertragen werden kann. Das Konstitutionsisomere des Catenans, das zyklische Dimer, wurde durch die Änderung der Abfolge einzelner Stufen der Synthesestrategie erhalten. Die Kombination beider Zyklisierungsschritte in einer Reaktion führte in hoher Ausbeute zum zyklischen Dimer. Die neu gefundene Syntheseroute lieferte das zyklische Dimer, ausgehend von der Zyklusvorstufe, in nur drei Stufen und löst die sehr aufwendige Templatsynthese, die zuvor entwickelt wurde, ab. Die Modellexperimente zur Derivatisierung der Catenandisäure mit einem Alkinol, Diol, Diamin oder Aminol wie auch zur Polymerisation mit oxidativer Alkindimerisierung führten nicht zu voll befriedigenden Ergebnissen, jedoch erweist sich die Methode der oxidativen Alkindimerisierung in den Modellversuchen als eine explizit geeignete Variante, ein [2]Catenan zu einem Polymer umzusetzen.

Untersuchungen zur stereokontrollierten Synthese von 3-Mercaptolysinderivaten und Untersuchungen zur Synthese von Ansa-Seco-Steroiden

Untersuchungen zur stereokontrollierten Synthese von 3-Mercaptolysinderivaten: 3-Mercaptolysin und Peptide mit einer 3-Mercaptolysin-Einheit sind als Liganden für Nukleardiagnostika in der Kontrastmittelforschung von großem Interesse. Für das Screening Gewebe-selektiver Diagnostika sollten Mercaptolysinderivate, die sich für den Einbau in Peptide eignen, stereokontrolliert aufgebaut werden. Als Grundlage wurde im Rahmen dieser Arbeit eine sehr effiziente Synthese von Methoxymethyl-(4-oxo-butyl)-carbaminsäure-tert-butylester aus Pent-4-en-1-ol entwickelt. Nach Olefinierung des Aldehyds konnten Auxiliar-substituierte 6-Amino-hexensäure-derivate in guten Ausbeuten erhalten werden. Diese bildeten die Startmaterialien für auxiliargesteuerte Aziridinierungen mit anschließender Ringöffnung durch Schwefel-Nukleophile. Zudem wurden Azidierungen an Auxiliar-bewehrten Substraten, Michael-Additionen von Schwefel-Nukleophilen an Dehydroaminosäuren und viele weitere Reaktionen untersucht. Es galt dabei auf patentrechtlich geschützte Reaktionen zu verzichten, weil die Produkte ggf. in großem Maßstab kommerziell genutzt werden sollen. Dabei konnten alle vier stereoisomeren 2-Acetylamino-6-(tert-butoxycarbonyl-methoxymethyl-amino)-3-(4-methoxy-benzylsulfanyl)-hexansäurementhylester in guter Ausbeute synthetisiert werden. Nach Herstellung größerer Mengen der entsprechenden am Schwefelatom ungeschützten N-Fmoc-Aminosäurederivate sollen alle vier Stereoisomere in Peptide eingebaut und auf ihre Eignung als Liganden in Nukleardiagnostika untersucht werden. Untersuchungen zur Synthese neuartiger Ansa-Steroide: Über die Synthese von Ansa-Seco-Steroiden mittels eine Kaskade von intermolekularer Diels-Alder-Reaktion und anschließender Retro-Diels-Alder-Reaktion an 5,6,7,8-Tetradehydrosteroiden wurde erstmals 1986 von E. Winterfeldt et al. berichtet. Die damit eröffnete Möglichkeit eines völlig neuen Zugangs zu pharmakologisch interessanten Makrolid-Substraten konnte aber bislang nicht effektiv genutzt werden, weil insbesondere im Zusammenhang mit der Diels-Alder-Reaktion erhebliche präparative Probleme auftraten: Brauchbare Reaktivität nur bei sehr wenigen Dienophilen, Regioselektivitätsprobleme, etc. Hier galt es zu untersuchen, inwiefern sich diese Probleme durch die intramolekulare Reaktionsführung der Cycloaddition unterdrücken lassen können. Für die intramolekulare Diels-Alder-Reaktion zwischen der 5,7-Dien-Einheit des Steroids und einer an das Substrat gebundenen Dienophil-Einheit ist die Möglichkeit einer günstigen Anordnung der beiden Reaktanden-Gruppen entscheidend. Dafür wurden umfangreiche Untersuchungen zur alpha-konfigurierten Anbindung eines Dienophils in die 3-Position an 3-Hydroxy-5,6,7,8-Tetradehydrosteroiden durchgeführt: Mitsunobu-Reaktionen, Oxidations-Reduktions-Sequenzen, Oxidations-Ketalisierungs-Sequenzen, etc. Hierbei wurden zahlreiche neue Steroide synthetisiert. Es gelang jedoch nicht, 5,6,7,8-Tetradehydrosteroide mit axial in Position 3 eingebundenen Dienophilen in präparativ nutzbaren Mengen zu synthetisieren. Bei der Untersuchung intermolekularer Diels-Alder-Reaktionen zwischen Ergosterol und Brommaleinsäureanhydrid wurde vorzugsweise die Bildung der Addukte des 7,8,14,15-Tetradehydroisomers des Ergosterols beobachtet.