5 resultados para Linear forms in logarithms
em ArchiMeD - Elektronische Publikationen der Universit
Resumo:
Nuclear medicine imaging techniques such as PET are of increasing relevance in pharmaceutical research being valuable (pre)clinical tools to non-invasively assess drug performance in vivo. Therapeutic drugs, e.g. chemotherapeutics, often suffer from a poor balance between their efficacy and toxicity. Here, polymer based drug delivery systems can modulate the pharmacokinetics of low Mw therapeutics (prolonging blood circulation time, reducing toxic side effects, increasing target site accumulation) and therefore leading to a more efficient therapy. In this regard, poly-N-(2-hydroxypropyl)-methacrylamide (HPMA) constitutes a promising biocompatible polymer. Towards the further development of these structures, non-invasive PET imaging allows insight into structure-property relationships in vivo. This performant tool can guide design optimization towards more effective drug delivery. Hence, versatile radiolabeling strategies need to be developed and establishing 18F- as well as 131I-labeling of diverse HPMA architectures forms the basis for short- as well as long-term in vivo evaluations. By means of the prosthetic group [18F]FETos, 18F-labeling of distinct HPMA polymer architectures (homopolymers, amphiphilic copolymers as well as block copolymers) was successfully accomplished enabling their systematic evaluation in tumor bearing rats. These investigations revealed pronounced differences depending on individual polymer characteristics (molecular weight, amphiphilicity due to incorporated hydrophobic laurylmethacrylate (LMA) segments, architecture) as well as on the studied tumor model. Polymers showed higher uptake for up to 4 h p.i. into Walker 256 tumors vs. AT1 tumors (correlating to a higher cellular uptake in vitro). Highest tumor concentrations were found for amphiphilic HPMA-ran-LMA copolymers in comparison to homopolymers and block copolymers. Notably, the random LMA copolymer P4* (Mw=55 kDa, 25% LMA) exhibited most promising in vivo behavior such as highest blood retention as well as tumor uptake. Further studies concentrated on the influence of PEGylation (‘stealth effect’) in terms of improving drug delivery properties of defined polymeric micelles. Here, [18F]fluoroethylation of distinct PEGylated block copolymers (0%, 1%, 5%, 7%, 11% of incorporated PEG2kDa) enabled to systematically study the impact of PEG incorporation ratio and respective architecture on the in vivo performance. Most strikingly, higher PEG content caused prolonged blood circulation as well as a linear increase in tumor uptake (Walker 256 carcinoma). Due to the structural diversity of potential polymeric carrier systems, further versatile 18F-labeling strategies are needed. Therefore, a prosthetic 18F-labeling approach based on the Cu(I)-catalyzed click reaction was established for HPMA-based polymers, providing incorporation of fluorine-18 under mild conditions and in high yields. On this basis, a preliminary µPET study of a HPMA-based polymer – radiolabeled via the prosthetic group [18F]F-PEG3-N3 – was successfully accomplished. By revealing early pharmacokinetics, 18F-labeling enables to time-efficiently assess the potential of HPMA polymers for efficient drug delivery. Yet, investigating the long-term fate is essential, especially regarding prolonged circulation properties and passive tumor accumulation (EPR effect). Therefore, radiolabeling of diverse HPMA copolymers with the longer-lived isotope iodine-131 was accomplished enabling in vivo evaluation of copolymer P4* over several days. In this study, tumor retention of 131I-P4* could be demonstrated at least over 48h with concurrent blood clearance thereby confirming promising tumor targeting properties of amphiphilic HPMA copolymer systems based on the EPR effect.
Resumo:
Die Isotopenzusammensetzungen des Pitcairn Hotspot (Südpazifik), des Mauna Kea (Hawaii) und der Insel Rurutu (Französisch Polynesien) wurden bestimmt, um Heterogenitäten im Erdmantel zu charakterisieren. Die Bleiisotopenzusammensetzung wurde mit einer Dreiisotopenspiketechnik zur Korrektur der instrumentellen Massenfraktionierung gemessen. An Proben von Pitcairn wurde zusätzlich die Os, Hf, Nd, Sr Isotopenzusammensetzung, sowie die Haupt- und Spurenelementzusammensetzung bestimmt. Die Isotopensignatur des Pitcairn Hotspots kann durch eine Sedimentkomponente in der Magmenquelle erklärt werden. Die Bleiisotopenschwankungen des Mauna Kea in der HSDP-2 Bohrung treten als Oszillationen auf, die sich zu linearen Anordnungen im Bleiisotopenraum zusammensetzen. Das begrenzte zeitliche Auftreten einer linearen Anordnung zeigt, daß die Heterogenitäten mehrere zehner Kilometer Länge im aufsteigenden Mantelmaterial unter dem Vulkan einnehmen. Auch die Bleiisotopenzusammensetzungen der Rurutu-laven zeigen lineare Anordnungen.Diese lineare Anordnungen im Bleiisotopenraum können durch eine vorwiegend binäre Mischung erklärt werden. Ein Bleiisotopenentwicklungsmodell unterstützt, daß die Differenzierung der Ausgangsmaterialien vor weniger als etwa zwei Milliarden Jahren geschah und für Mauna Kea relativ jung sein könnte. Keine der Hotspots weisen identische Mischungsendglieder auf, so daß die Heterogenitäten kleinräumige Merkmale im Erdmantel sind.
Resumo:
The use of linear programming in various areas has increased with the significant improvement of specialized solvers. Linear programs are used as such to model practical problems, or as subroutines in algorithms such as formal proofs or branch-and-cut frameworks. In many situations a certified answer is needed, for example the guarantee that the linear program is feasible or infeasible, or a provably safe bound on its objective value. Most of the available solvers work with floating-point arithmetic and are thus subject to its shortcomings such as rounding errors or underflow, therefore they can deliver incorrect answers. While adequate for some applications, this is unacceptable for critical applications like flight controlling or nuclear plant management due to the potential catastrophic consequences. We propose a method that gives a certified answer whether a linear program is feasible or infeasible, or returns unknown'. The advantage of our method is that it is reasonably fast and rarely answers unknown'. It works by computing a safe solution that is in some way the best possible in the relative interior of the feasible set. To certify the relative interior, we employ exact arithmetic, whose use is nevertheless limited in general to critical places, allowing us to rnremain computationally efficient. Moreover, when certain conditions are fulfilled, our method is able to deliver a provable bound on the objective value of the linear program. We test our algorithm on typical benchmark sets and obtain higher rates of success compared to previous approaches for this problem, while keeping the running times acceptably small. The computed objective value bounds are in most of the cases very close to the known exact objective values. We prove the usability of the method we developed by additionally employing a variant of it in a different scenario, namely to improve the results of a Satisfiability Modulo Theories solver. Our method is used as a black box in the nodes of a branch-and-bound tree to implement conflict learning based on the certificate of infeasibility for linear programs consisting of subsets of linear constraints. The generated conflict clauses are in general small and give good rnprospects for reducing the search space. Compared to other methods we obtain significant improvements in the running time, especially on the large instances.
Resumo:
Flüchtige organische Halogenverbindungen übernehmen in der Chemie der Troposphäre eine Schlüsselrolle. Photolytisch gebildete Halogenatome reagieren mit troposphärischem Ozon und können durch Oxidation, vor allem von Iod, zur Neubildung von Partikeln beitragen. Auf diese Weise beeinflussen Halogenalkane den Strahlungshaushalt der Atmosphäre. Aus analytischem Blickwinkel ist es wichtig die Konzentration der einzelnen Spezies zu untersuchen um Rückschlüsse auf deren biotische oder abiotische Quellen ziehen und die Emissionswege besser verstehen zu können. Im Rahmen der vorliegenden Arbeit wurde daher eine sensitive Methode zur Untersuchung von halogenierten Kohlenwasserstoffen entwickelt, basierend auf anreichernder Probenahme mit anschließender Thermodesorption und der Analyse mittels Massenspektrometrie mit negativer chemischer Ionisation. Die Kennwerte der Methode sind: Nachweisgrenzen zwischen 0.11 pg und 5.86 pg bzw. zwischen 1.0 ppqV und 44.7 ppqV, Linearität zwischen R2=0.993 und R2=1.000, Reproduzierbarkeit (Triplikate) RSD < 15 % und ein sicheres Probenahmevolumen von 10 L. Die Methode wurde im Anschluss im Rahmen von zwei Feldmessungen, in Mace Head, Irland und auf einer Schiffskampagne im antarktischen Amundsen-Meer, angewendet. Durch die Ergebnisse aus Irland kann gezeigt werden, dass die Mischungsverhältnisse der Iodalkane mit denen früherer Studien vergleichbar sind, und dass die verschiedenen untersuchten Algenarten deutlich unterschiedliche Emissionsraten zeigen. Die Ergebnisse der Kampagne im Amundsen-Meer zeigen einen großen Einfluss der Windrichtung auf die Halogenalkan-Konzentrationen. So sind die Mischungsverhältnisse der Halogenalkane deutlich höher, wenn der Wind zuvor über die antarktischen Eisflächen strömt. Für die biotischen Quellen wurden die Emissionsraten ausgewählter Makroalgen unter dem Einfluss von Ozon untersucht. Die Emissionsrate der Iodalkane zeigt einen exponentiellen Zusammenhang, sowohl zur I2-Emission als auch zum Gesamtiodgehalt der Algen. Unter oxidativen Bedingungen zeigt L. Digitata eine linear steigende Iodalkanemission. Mit diesem Verhalten wird die These der Bildung von Iodalkanen als Nebenprodukt beim Abbau reaktiver Sauerstoffspezies unterstützt. Neben den Makroalgen wurden auch Mikroalgen als biotische Quellen untersucht. Hierbei können zwei unterschiedliche Emissionsmuster der Halogenalkane für Diatomeen und Phaeocystis sp. gezeigt werden. Im Gegensatz zur Iodalkan-Emission hängt die I2 Emission der Mikroalgenproben von der Ozonkonzentration der Luft ab. Durch die lineare Korrelation der I2-Emission mit der Iodid-Konzentration der wässrigen Phase einerseits, und dem Ozonverbrauch andererseits, kann die Bildung von I2 durch Oxidation von Iodid durch Ozon bestätigt werden. Für das Emissionsverhalten der Mikroalgenprobe aus dem Sylter Wattenmeer, welche keine Korrelation mit dem verbrauchten Ozon zeigt, gibt es zwei Erklärungen: Zum einen kann I2 durch den hohen Gehalt an organischen Verbindungen an diesen adsorbiert bzw. chemisch gebunden werden und wird dann nicht mehr in die Gasphase emittiert. Zum anderen können aktive organische Verbindungen das Gleichgewicht zwischen HOI und I2 in Richtung HOI verlagern. Im Versuch zur abiotischen Bildung von Iodalkanen aus Partikeln, bestehend aus I2O5 und verschiedenen Alkoholen, kann gezeigt werden, dass die Bildung von Iodmethan und Diiodmethan abläuft, dass jedoch die Emission bis zu zwei Größenordnungen kleiner ist als die von I2. Somit trägt die Bildung von Iodalkanen nur in einem sehr eingeschränkten Rahmen zum Recycling des Iods in der Atmosphäre bei. Der vorgestellte abiotische Bildungsweg hängt sowohl vom pH-Wert als auch vom Mischungsverhältnis im Partikel ab.
Resumo:
Chapter 1 of this thesis comprises a review of polyether polyamines, i.e., combinations of polyether scaffolds with polymers bearing multiple amino moieties. Focus is laid on controlled or living polymerization methods. Furthermore, fields in which the combination of cationic, complexing, and pH-sensitive properties of the polyamines and biocompatibility and water-solubility of polyethers promise enormous potential are presented. Applications include stimuli-responsive polymers with a lower critical solution temperature (LCST) and/or the ability to gel, preparation of shell cross-linked (SCL) micelles, gene transfection, and surface functionalization.rnIn Chapter 2, multiaminofunctional polyethers relying on the class of glycidyl amine comonomers for anionic ring-opening polymerization (AROP) are presented. In Chapter 2.1, N,N-diethyl glycidyl amine (DEGA) is introduced for copolymerization with ethylene oxide (EO). Copolymer microstructure is assessed using online 1H NMR kinetics, 13C NMR triad sequence analysis, and differential scanning calorimetry (DSC). The concurrent copolymerization of EO and DEGA is found to result in macromolecules with a gradient structure. The LCSTs of the resulting copolymers can be tailored by adjusting DEGA fraction or pH value of the environment. Quaternization of the amino moieties by methylation results in polyelectrolytes. Block copolymers are used for PEGylated gold nanoparticle formation. Chapter 2.2 deals with a glycidyl amine monomer with a removable protecting group at the amino moiety, for liberation of primary amines at the polyether backbone, which is N,N-diallyl glycidyl amine (DAGA). Its allyl groups are able to withstand the harsh basic conditions of AROP, but can be cleaved homogeneously after polymerization. Gradient as well as block copolymers poly(ethylene glycol)-PDAGA (PEG-PDAGA) are obtained. They are analyzed regarding their microstructure, LCST behavior, and cleavage of the protecting groups. rnChapter 3 describes applications of multi(amino)functional polyethers for functionalization of inorganic surfaces. In Chapter 3.1, they are combined with an acetal-protected catechol initiator, leading to well-defined PEG and heteromultifunctional PEG analogues. After deprotection, multifunctional PEG ligands capable of attaching to a variety of metal oxide surfaces are obtained. In a cooperative project with the Department of Inorganic and Analytical Chemistry, JGU Mainz, their potential is demonstrated on MnO nanoparticles, which are promising candidates as T1 contrast agents in magnetic resonance imaging. The MnO nanoparticles are solubilized in aqueous solution upon ligand exchange. In Chapter 3.2, a concept for passivation and functionalization of glass surfaces towards gold nanorods is developed. Quaternized mPEG-b-PqDEGA diblock copolymers are attached to negatively charged glass surfaces via the cationic PqDEGA blocks. The PEG blocks are able to suppress gold nanorod adsorption on the glass in the flow cell, analyzed by dark field microscopy.rnChapter 4 highlights a straightforward approach to poly(ethylene glycol) macrocycles. Starting from commercially available bishydroxy-PEG, cyclic polymers are available by perallylation and ring-closing metathesis in presence of Grubbs’ catalyst. Purification of cyclic PEG is carried out using α-cyclodextrin. This cyclic sugar derivative forms inclusion complexes with remaining unreacted linear PEG in aqueous solution. Simple filtration leads to pure macrocycles, as evidenced by SEC and MALDI-ToF mass spectrometry. Cyclic polymers from biocompatible precursors are interesting materials regarding their increased blood circulation time compared to their linear counterparts.rnIn the Appendix, A.1, a study of the temperature-dependent water-solubility of polyether copolymers is presented. Macroscopic cloud points, determined by turbidimetry, are compared with microscopic aggregation phenomena, monitored by continuous wave electron paramagnetic resonance (CW EPR) spectroscopy in presence of the amphiphilic spin probe and model drug (2,2,6,6-tetramethylpiperidin-1-yl)oxyl (TEMPO). These thermoresponsive polymers are promising candidates for molecular transport applications. The same techniques are applied in Chapter A.2 to explore the pH-dependence of the cloud points of PEG-PDEGA copolymers in further detail. It is shown that the introduction of amino moieties at the PEG backbone allows for precise manipulation of complex phase transition modes. In Chapter A.3, multi-hydroxyfunctional polysilanes are presented. They are obtained via copolymerization of the acetal-protected dichloro(isopropylidene glyceryl propyl ether)methylsilane monomer. The hydroxyl groups are liberated through acidic work-up, yielding versatile access to new multifunctional polysilanes.