24 resultados para functional group diversity
em ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha
Resumo:
Wide rim tetraurea calix[4]arenes form hydrogen bonded dimeric capsules in apolar solvents in the presence of a suitable guest, which must be included in the cavity. The monomeric and dimeric form are never observed simultaneously under usual conditions. In general the combination of two different alkyl or aryl tetraurea derivatives results in the mixture of two homodimers and a heterodimer, however, only the heterodimeric species is observed in the 1:1 mixture of aryl and tosyl ureas. The (hetero)dimerization of oligourea calix[4]arenes (units) was used to construct larger structures via self-assembly of multiple calixarenes (building blocks) containing two (or more) covalently connected units. Among these self-assembled structures linear or branched polymers, cyclic oligomers and well-organized dendrimers were envisaged. The synthesis of the building blocks requires the preparation of calix[4]arene units possessing one (or more) functional group at the narrow or wide rim. Finally the oligourea units were covalently connected either directly or via suitable spacers within appropriate building blocks using amide bonds. Self-assembly properties of such building blocks were investigated.
Resumo:
An important property for devices is the charge-carrier mobility values for discotic organic materials like hexa-peri-hexabenzocoronenes. A close relation exists between the degree of their columnar self-arrangement of the molecules and their mobilities. Within this first step an induction of a higher order via hydrogen-bonding was considered, which mainly pointed towards the improvement of the intracolumnar stacking of the materials. For the analytics a broad range of methods was used including differential scanning calorimetry (DSC), wide-angle X-ray diffractometry (WAXS), solid-state NMR spectroscopy and scanning tunneling microscopy (STM). Indeed, a specific influence of the hydrogen-bonds could be identified, although in several cases by the cost of a severe reduction of solubility and processability. This effect was dampened by the addition of a long alkyl chain next to the hydrogen-bond exerting functional group, which resulted in an improved columnar arrangement by retention of processability. In contrast to the before mentioned example of inducing a higher intracolumnar order by hydrogen-bonding, the focus was also be set upon larger aromatic systems. The charge-carrier mobility is also in close relation to the size of the aromatic core and larger π-areas are expected to lead to improved mobilities. For photovoltaic applications a high extinction coefficient over a broad range of the spectrum is favorable, which can also be achieved by enlarging the aromatic core component. In addition the stronger π-interactions between the aromatic core components should yield an improved columnar stability and order. However the strengthening of the π-interactions between the aromatic core components led to a reduction of the solubility and the processability due to the stronger aggregation of the molecules. This required the introduction of efficiently solubilizing features in terms of long alkyl chains in the corona of the aromatic entity, in combination of a distortion of the aromatic core moiety by bulky tert-butyl groups. By this approach not only the processing and cleaning of the materials with standard laboratory techniques became possible, but moreover the first structure-rich UV/vis and a resolved 1H-NMR spectra for an aromatic system two times larger than hexa-peri-hexabenzocoronene were recorded. The bulk properties in an extruded fiber as well as on the surface showed a columnar self-assembly including a phase in which a homeotropic alignment on a substrate was observed, which turns the material into an interesting candidate for future applications in electronic devices.
Resumo:
Viele substituierte Pyrrolidine zeigen eine hohe Affinität zu biologischen Makromolekülen wie zu G-Protein-gekoppelten Rezeptoren, Ionenkanälen oder Enzymen. Eine synthetische Route zur Darstellung von Pyrrolidinen mit der Möglichkeit, alle fünf Ringatome variabel zu substituieren, ist daher von Interesse für die pharmazeutische Forschung. In der vorliegenden Arbeit werden zwei neue Synthesestrategien zur Darstellung hochsubstituierter Pyrrolidine vorgestellt: Die 1,4-Addition von -Aminonitrilen an ,-ungesättigte Carbonylverbindungen liefert cyclische Zwischenprodukte, die in einer Eintopfreaktion zu Pyrrolidinen reduziert werden können. Die Cyanogruppe wird dabei im Reduktionsschritt aus dem Molekül entfernt, so dass keine unerwünschten Funktionalitäten im Zielmolekül zurückbleiben. In analoger Weise reagieren -(Alkylidenamino)-nitrile mit ,-ungesättigten Carbonylverbindungen. Nach Reduktion der Intermediate können polysubstituierte Pyrrolidine erhalten werden. Im Gegensatz zu -Aminonitrilen lassen sich -(Alkylidenamino)-nitrile allerdings auch mit CH-aciden ,-ungesättigten Carbonylverbindungen umsetzten, und erlauben so die Darstellung von substituierten Pyrrolidinen, die mit der zuerst genannten Methode nicht zugänglich sind. Die Übertragung beider Synthesestrategien auf die Darstellung von polycyclischen Pyrrolidinen wie dem Alkaloid Crispin A wird ebenfalls in dieser Arbeit beschrieben.
Resumo:
Studies of organic fluorescent dyes are experiencing a renaissance related to the increasing demands posed by new microscopy techniques for high resolution and high sensitivity. While in the last decade single molecule equipment and methodology has significantly advanced and in some cases reached theoretical limits (e.g. detectors approaching unity quantum yields) unstable emission from chromophores and photobleaching become more and more the bottleneck of the advancement and spreading of single-molecule fluorescence studies. The main goal of this work was the synthesis of fluorophores that are water-soluble, highly fluorescent in an aqueous environment, have a reactive group for attachment to a biomolecule and posses exceptional photostability. An approach towards highly fluorescent, water-soluble and monofunctional perylene-3,4,9,10-tetracarboxdiimide and terrylene-3,4:11,12-tetra carboxidiimide chromophores was presented. A new synthetic strategy for the desymmetrization of perylenetetracarboximides was elaborated; water-solubility was accomplished by introducing sulfonyl substituents in the phenoxy ring. Two strategies have been followed relying on either non-specific or site specific labeling. For this purpose a series of new water-soluble monofunctional perylene and terrylene dyes, bearing amine or carboxy group were prepared. The reactivity and photophysical properties of these new chromophores were studied in aqueous medium. The most suitable chromophores were further derivatized with amine or thiol reactive groups, suitable for chemical modification of proteins. The performance of the new fluorescent probes was assessed by single molecule enzyme tracking, in this case phospholipase acting on phospholipid supported layers. Phospholipase-1 (PLA-1) was labeled with N-hydroxysuccinimide ester functionalized perylene and terrylene derivatives. The purification of the conjugates was accomplished by novel convenient procedure for the removal of unreacted dye from labeled enzymes, which involves capturing excess dye with a solid support. This novel strategy for purification of bioconjugates allows convenient and fast separation of labeled proteins without the need for performing time consuming chromatographic or electrophoretic purification steps. The outstanding photostability of the dyes and, associated therewith, the extended survival times under strong illumination conditions allow a complete characterization of enzyme action on its natural substrates and even connecting enzyme mobility to catalytic activity. For site-specific attachment of the rylene dyes to proteins the chromophores were functionalized with thioesters or nitrilotriacetic acid groups. This allowed attachment of the emitters to the N-terminus of proteins by native chemical ligation or complexation with His-tagged polypeptides at the N- or C-termini, respectively. The synthesis of a water-soluble perylenebis (dicarboximide) functionalized with a thioester group was presented. This chromophore exhibits an exceptional photostability and a functional unit for site-specific labeling of proteins. The suitability of the fluorophore as a covalent label was demonstrated via native chemical ligation with protein containing N-terminal cystein residue. We exploited also oligohisitidine sequences as recognition elements for site-selective labeling. The synthesis of a new water-soluble perylene chromophore, containing a nitrilotriacetic acid functional group was demonstrated, using solution-phase and solid-phase approaches. This chromophore combines the exceptional photophysical properties of the rylene dyes and a recognition unit for site-specific labeling of proteins. An important feature of the label is the unchanged emission of the dye upon complexation with nickel ions.
Resumo:
Two general strategies for the functionalization of metathesis polymers are presented in this dissertation. Introducing Sacrificial Synthesis, many of the limitations of ruthenium-catalyzed ROMP have been overcome. Here, the living ROMP polymer to be functionalized was turned into a diblock copolymer by polymerizing dioxepine monomers onto the desired first polymer block. The second block was then later removed to leave “half-a-dioxepin”, i.e. exactly one hydroxyl group, at the chain-end. The efficiency of Sacrificial Synthesis is also studied. Thiol groups were also placed by a sacrificial strategy based on cyclic thioacetals. 2-Phenyl-1,3-dithiepin could be polymerized and subsequently cleaved by hydrogenation with Raney-Nickel. The presence of thiol groups on the chain end has been proven by chemical means (derivatization) and by coating gold-nanoparticles. The second strategy, vinyl lactone quenchingv is a termination reaction based on vinyl esters. After a metathesis step, an inactive Fischer-type carbene is formed. Such acyl carbenes are unstable and self-decompose to set an inactive ruthenium complex and the functional group free without changing the reaction conditions. The two compounds vinylene carbonate and 3H-furanone gave rise to the placement of aldehydes and carboxylic acids at the polymer chain ends without the necessity to perform any deprotection steps after the functionalization. The development of those two functionalization methods led to several applications. By reacting hydroxyl-functionalized ROMP-polymers with norbornene acid, macromonomers were formed which were subsequently polymerized to the respective graft-copolymers. Also, the derivatization of the same functionalized polymers with propargylic acid gave rise to alkyne-functionalized polymers which were conjugated with azides. Furthermore, “ugly stars”, i.e. long-chain branched structures were synthesized by polycondensation of ABn-type macromonomers and telechelic polymers were accessed combining the described functionalization techniques.
Resumo:
In this thesis, we focus on the preparation of energy transfer-based quantum dot (QD)-dye hybrid systems. Two kinds of QD-dye hybrid systems have been successfully synthesized: QD-silica-dye and QD-dye hybrid systems.rn rnIn the QD-silica-dye hybrid system, multishell CdSe/CdS/ZnS QDs were adsorbed onto monodisperse Stöber silica particles with an outer silica shell of thickness 2 - 24 nm containing organic dye molecules (Texas Red). The thickness of this dye layer has a strong effect on the total sensitized acceptor emission, which is explained by the increase in the number of dye molecules homogeneously distributed within the silica shell, in combination with an enhanced surface adsorption of QDs with increasing dye amount. Our conclusions were underlined by comparison of the experimental results with Monte-Carlo simulations, and by control experiments confirming attractive interactions between QDs and Texas Red freely dissolved in solution. rnrnNew QD-dye hybrid system consisting of multishell QDs and organic perylene dyes have been synthesized. We developed a versatile approach to assemble extraordinarily stable QD-dye hybrids, which uses dicarboxylate anchors to bind rylene dyes to QD. This system yields a good basis to study the energy transfer between QD and dye because of its simple and compact design: there is no third kind of molecule linking QD and dye; no spacer; and the affinity of the functional group to the QD surface is strong. The FRET signal was measured for these complexes as a function of both dye to QD ratio and center-to-center distance between QD and dye by controlling number of covered ZnS layers. Data showed that fluorescence resonance energy transfer (FRET) was the dominant mechanism of the energy transfer in our QD-dye hybrid system. FRET efficiency can be controlled by not only adjusting the number of dyes on the QD surface or the QD to dye distance, but also properly choosing different dye and QD components. Due to the strong stability, our QD-dye complexes can also be easily transferred into water. Our approach can apply to not only dye molecules but also other organic molecules. As an example, the QDs have been complexed with calixarene molecules and the QD-calixarene complexes also have potential for QD-based energy transfer study. rn
Resumo:
Unterschiedlich substituierte Reagenzien, basierend auf dem Cumarin Körper, wurden untersucht und Struktur-Funktions-Beziehungsstudien zeigten eine Selektivität für ein natürlich vorkommendes, modifiziertes Nukleosid, 4-Thiouridine (s4U). Im Verlauf dieser Experimente, fiel ein multifunktionales Cumarin, namens PBC, aus mehreren Gründen auf. Neben seiner 2000 fachen Selektivität für s4U gegenüber Uridin, besitzt PBC ein zusätzliches terminales Alkin für Konjugationsreaktionen mit Aziden. Es wurde zusätzlich zur Fluoreszenzmarkierung von small interfering RNA benutzt, deren Fluoreszenz in Zellen beobachtet werden konnte. Mit PBC kommt ein neues chemisches Reagenz zur Detektion von modifizierten Nukleosiden zum bereits vorhandenen Repertoire hinzu.rnDiese Arbeit zeigt zusätzlich eine neue Labelingstrategie, basierend auf einem kleinen, multifunktionalen chemischen Reagenz, welches spezifisch mit Uridinen in RNA reagiert. Dieses Cumarin-basierte Reagenz, namens N3BC, hat den Vorteil (I) post-transkriptionell gegenüber allen möglichen RNAs einsetzbar zu sein, (II) Fluoreszenz zu zeigen und (III) eine weitere funktionelle Gruppe zu besitzen, die in Biokonjugationsreaktionen einsetzbar ist. Die letzteren umfassen z.B. die durch UV ausgelösten crosslinking Experimente mit verwandten Proteinen, sowie die bioorthognale CuAAC Reaktion mit fluoreszenten Alkin-Farbstoffen.rnFür verlässliche Detektion wurden mehrere LC-MS/MS Methoden, zur Identifizierung und Quantifizierung von bis zu 21 Ribonukleosiden und 5 Deoxyribonukleosiden in einem Einzellauf, entwickelt. Zusätzlich wurden diese Methoden in mehreren Studien, hauptsächlich von Methyltransferasen, angewandt. rn
Resumo:
In my dissertation I investigated the influence of behavioral variation between and within ant colonies on group performance. In particular, I analyzed how evolution shapes behavior in response to ecological conditions, and whether within-group diversity improves productivity as suggested by theory. Our field and laboratory experiments showed that behavioral diverse groups are more productive. Different aggression levels within colonies were beneficial under competitive field situations, whereas diversity in brood care and exploratory behavior were favored in non-competitive laboratory situations. We then examined whether population density and social parasite presence shape aggression through phenotypic plasticity and/or natural selection. The importance of selection was indicated by the absence of density or parasite effects on aggression in a field manipulation. Indeed, more aggressive colonies fared better under high density and during parasite attack. When analyzing the proximate causes of individual behavioral variation, ovarian development was shown to be linked to division of labor and aggressiveness. Finally, our studies show that differences in the collective behavior can be linked to immune defense and productivity. My dissertation demonstrates that behavioral variation should be studied on multiple scales and when possible combined with physiological analyses to better understand the evolution of animal personalities in social groups.rn
Resumo:
Die biologische Stickstofffixierung durch Molybdän-haltige Nitrogenasen sowie die Erforschung des zugrundeliegenden komplexen Mechanismus (N2-Aktivierung an Metall-Zentren, 6-fache Protonierung und Reduktion, N–N Bindungsspaltung unter Bildung von Ammoniak) ist von erheblichem Interesse. Insbesondere Molybdän-Komplexe wurden bereits erfolgreich als Modellverbindungen für die Untersuchung elementarer Einzelschritte der N2-Aktivierung eingesetzt. Durch die Verwendung von Triamidoamin-Liganden ist es Schrock et al. sogar gelungen mehrere Katalysezyklen zu durchlaufen und einen Mechanismus zu formulieren. Trotz der sterisch anspruchsvollen Substituenten in den Schrock-Komplexen ist die Umsatzrate dieses homogenen Katalysators, aufgrund Komplex-Deaktivierung infolge intermolekularer Reaktionen wie Dimerisierung und Disproportionierung, limitiert. In der vorliegenden Arbeit wurden einige dieser Herausforderungen angegangen und die aktiven Spezies auf einer Festphase immobilisiert, um intermolekulare Reaktionen durch räumliche Isolierung der Komplexe zu unterdrücken.rnEin Polymer-verankertes Analogon des Schrock Nitrido-Molybdän(VI)-Komplexes wurde auf einem neuen Reaktionsweg synthetisiert. Dieser beinhaltet nur einen einzigen Reaktionsschritt, um die funktionelle Gruppe „MoN“ einzuführen. Protonierung des immobilisierten Nitrido-Molybdän(VI)-Komplexes LMoVIN (L = Polymer-verankerter Triamidoamin-Ligand) mit 2,6-Lutidinium liefert den entsprechenden Imido-Molybdän(VI)-Komplex. Durch anschließende Ein-Elektronen-Reduktion mit Cobaltocen wird der Polymer-angebundene Imido-Molybdän(V)-Komplex erhalten, bewiesen durch EPR-Spektroskopie (g1,2,3 = 1.989, 1.929, 1.902). Durch die Immobilisierung und die effektive räumliche Separation der Reaktionszentren auf der Festphase werden bimolekulare Nebenreaktionen, die oft in homogenen Systemen auftreten, unterdrückt. Dies ermöglicht zum ersten Mal die Darstellung des Imido-Molybdän(V)-Intermediates des Schrock-Zyklus.rnEPR-Spektren des als Spin-Label eingeführten immobilisierten Nitrato-Kupfer(II)-Komplexes wurden unter verschiedenen Bedingungen (Lösungsmittel, Temperatur) aufgenommen, wobei sich eine starke Abhängigkeit zwischen der Zugänglichkeit und Reaktivität der immobilisierten Reaktionszentren und der Art des Lösungsmittels zeigte. Somit wurde die Reaktivität von LMoVIN gegenüber Protonen und Elektronen, welches zur Bildung von NH3 führt, unter Verwendung verschiedener Lösungsmittel untersucht und optimiert. Innerhalb des kugelförmigen Polymers verläuft die Protonierung und Reduktion von LMoVIN stufenweise. Aktive Zentren, die sich an der „äußeren Schale“ des Polymers befinden, sind gut zugänglich und reagieren schnell nach H+/e− Zugabe. Aktive Zentren im „Inneren des Polymers“ hingegen sind schlechter zugänglich und zeigen langsame diffusions-kontrollierte Reaktionen, wobei drei H+/e− Schritte gefolgt von einer Ligandenaustausch-Reaktion erforderlich sind, um NH3 freizusetzen: LMoVIN LMoVNH LMoIVNH2 LMoIIINH3 und anschließender Ligandenaustausch führt zur Freisetzung von NH3.rnIn einem weiteren Projekt wurde der Bis(ddpd)-Kupfer(II)-Komplex EPR-spektroskopisch in Hinblick auf Jahn−Teller-Verzerrung und -Dynamik untersucht. Dabei wurden die EPR-Spektren bei variabler Temperatur (70−293 K) aufgenommen. Im Festkörperspektrum bei T < 100 K erscheint der Kupfer(II)-Komplex als gestreckter Oktaeder, wohingegen das EPR-Spektrum bei höheren Temperaturen g-Werte aufzeigt, die einer pseudo-gestauchten oktaedrischen Kupfer(II)-Spezies zuzuordnen sind. Diese Tatsache wird einem intramolekularen dynamischen Jahn−Teller Phänomen zugeschrieben, welcher bei 100 K eingefroren wird.
Resumo:
Phosphonatliganden in erweiterten anorganischen Hybridmaterialien undrnals Radikalträgern in KomplexenrnrnAnorganisch-organische Hybridmaterialien sind in der Regel extrem vielseitig. Die systematische Darstellung von niederdimensionalen Materialien (eindimensionale Kettenverbindungen oder zweidimensionalen Schichtverbindungen) mit einer Kontrolle über die Art der Verbindung,rnbietet neue Möglichkeiten im Bereich des molekularen Magnetismus. Hier im Fall von Metall-Phosphonat Verbindungen in erweiterten anorganischen Hybriden wurde der pH - Wert während der Reaktion eingestellt, wodurch der Grad der Protonierung des Phosphonatliganden kontrolliert wurde. Aufgrund der Tatsache, dass alle erhaltenen Metall Phosphonatverbindungen neutral waren, konnte das Ligand zu Metallverhältnis erstmals vorhergesagt werden. So wurden mehrere neue Metall–Phosphonat Verbindungen im Bereich von Null-dimensionalen (I0O0, Co-Kristallisation von M(H2O)6 mitrndeprotonierten Phosphonatligand), über eindimensionalen (I1O0, Kettenstrukturen) bis hin zu zweidimensionalen (I2O0, Schichtstrukturen) ausführlich diskutiert in Bezug auf ihr magnetisches Verhalten. Im Allgemeinen sind die erwarteten Austauschwechselwirkungen in einem erweiterten anorganischen Hybridmaterial stark, weil oft ein Superaustausch durch ein einzelnes Sauerstoffatom möglich ist. Hier waren oft mehrere konkurrierende Austauschwechselwirkungen vorhanden, so dass kompliziertere magnetische Verhalten beobachtet wurden.rnrnDarüber hinaus wurden drei neue Beispiele von Nitronyl-Nitroxidradikale dargestellt, in denen eine zusätzliche saure Funktionalität eingeführt war. Die Auswirkungen des sauren Charakters der zusätzlich eingeführten Sulfonsäure oder Phosphonsäure-Gruppe auf das Nitronyl-Nitroxidradikal wurden im Detail zum ersten Mal untersucht. Die mit der Phosphonsäure-Gruppe versehenen Nitronyl-Nitroxidradikale sind perfekte Proben für die Untersuchung einer Spin-Verschiebung in Nitronyl-Nitroxidradikale durch EPR-Spektroskopie, aufgrund des eingeführten Phosphors. Auch der Protonierungsgrad der zusätzlich eingeführten Phosphonsäure-Gruppe wurde berücksichtigt. In dieser Arbeit wurden die ersten Metallkomplexe der neuen substituierten sauren Nitronyl-Nitroxidradikale vorgestellt. Die Koordination von Nickel(II) Metallionen an die saure, zweite funktionelle Gruppe des Nitronyl–Nitroxid Radikal wurde beschrieben. Die magnetische Austauschwechselwirkung der Metallionen untereinander und die Metall-Radikal-Austauschwechselwirkungen wurden untersucht. rnrnIm Allgemeinen können interessante molekulare magnetische Materialien dadurch dargestellt werden, dass die Dimension der Metall-Phosphonat-Verbindungen als Beispiele für die erweiterten anorganischen Hybridmaterialien gesteuert werden kann. Mit Nitronyl-Nitroxidradikale als organische Liganden können in Zukunft noch mehr Spin-Träger in anorganisch-organischen Gerüstmaterialien integriert werden um die magnetischen Eigenschaften zu verbesseren.rn
Resumo:
Discotic hexa-peri-hexabenzocoronene (HBC) derivatives have attracted intensive scientific interest due to their unique optoelectronic properties, which depends, to a large extend, upon the attached functional groups. The presented work covers the synthesis of novel HBC building blocks and new HBC derivatives as functional materials. The traditional preparation of HBC derivatives requires elaborate synthetic techniques and tremendous effort. Especially, more than 10 synthetic steps are usually necessary to approach HBCs with lower symmetries. In order to simplify the synthetic work and reduce the high costs, a novel synthetic strategy involving only four steps was developed based on 2,3,5,6-tetraphenyl-1,4-diiodobenzene intermediates and palladium catalyzed Suzuki cross coupling reactions. In order to introduce various functionalities and expand the diversity of multi-functionalizations, a novel C2v-symmetric dihalo HBC building block 2-47, which contains one iodine and one bromine in para positions, was prepared following the traditional intermolecular [4+2] Diels-Alder reaction route. The outstanding chemical selectivity between iodo and bromo groups in this compound consequently leads to lots of HBC derivatives bearing different functionalities. Directly attached heteroatoms will improve the material properties. According to the application of intramolecular Scholl reaction to a para-dimethoxy HPB, which leads to a meta-dimethoxy HBC, a phenomenon of phenyl group migration was discovered. Thereby, several interesting mechanistic details involving arenium cation intermediates were discussed. With a series of dipole functionalized HBCs, the molecular dynamics of this kind of materials was studied in different phases by DSC, 2D WAXD, solid state NMR and dielectric spectroscopies. High charge carrier mobility is an important parameter for a semiconductive material and depends on the degree of intramolecular order of the discotic molecules in thin films for HBC derivatives. Dipole – dipole interaction and hydrogen bonds were respectively introduced in order to achieve highly ordered supramolecular structure. The self-assembly behavior of these materials were investigated both in solution and solid state. Depending upon the different functionalities, these novel materials show either gelating or non-linear optical properties, which consequently broaden their applications as functional materials. In the field of conceivable electronic devices at a molecular level, HBCs hold high promise. Differently functionalized HBCs have been used as active component in the studies of single-molecular CFET and metal-SAMs-metal junctions. The outstanding properties shown in these materials promise their exciting potential applications in molecular devices.
Resumo:
In this thesis we develop further the functional renormalization group (RG) approach to quantum field theory (QFT) based on the effective average action (EAA) and on the exact flow equation that it satisfies. The EAA is a generalization of the standard effective action that interpolates smoothly between the bare action for krightarrowinfty and the standard effective action rnfor krightarrow0. In this way, the problem of performing the functional integral is converted into the problem of integrating the exact flow of the EAA from the UV to the IR. The EAA formalism deals naturally with several different aspects of a QFT. One aspect is related to the discovery of non-Gaussian fixed points of the RG flow that can be used to construct continuum limits. In particular, the EAA framework is a useful setting to search for Asymptotically Safe theories, i.e. theories valid up to arbitrarily high energies. A second aspect in which the EAA reveals its usefulness are non-perturbative calculations. In fact, the exact flow that it satisfies is a valuable starting point for devising new approximation schemes. In the first part of this thesis we review and extend the formalism, in particular we derive the exact RG flow equation for the EAA and the related hierarchy of coupled flow equations for the proper-vertices. We show how standard perturbation theory emerges as a particular way to iteratively solve the flow equation, if the starting point is the bare action. Next, we explore both technical and conceptual issues by means of three different applications of the formalism, to QED, to general non-linear sigma models (NLsigmaM) and to matter fields on curved spacetimes. In the main part of this thesis we construct the EAA for non-abelian gauge theories and for quantum Einstein gravity (QEG), using the background field method to implement the coarse-graining procedure in a gauge invariant way. We propose a new truncation scheme where the EAA is expanded in powers of the curvature or field strength. Crucial to the practical use of this expansion is the development of new techniques to manage functional traces such as the algorithm proposed in this thesis. This allows to project the flow of all terms in the EAA which are analytic in the fields. As an application we show how the low energy effective action for quantum gravity emerges as the result of integrating the RG flow. In any treatment of theories with local symmetries that introduces a reference scale, the question of preserving gauge invariance along the flow emerges as predominant. In the EAA framework this problem is dealt with the use of the background field formalism. This comes at the cost of enlarging the theory space where the EAA lives to the space of functionals of both fluctuation and background fields. In this thesis, we study how the identities dictated by the symmetries are modified by the introduction of the cutoff and we study so called bimetric truncations of the EAA that contain both fluctuation and background couplings. In particular, we confirm the existence of a non-Gaussian fixed point for QEG, that is at the heart of the Asymptotic Safety scenario in quantum gravity; in the enlarged bimetric theory space where the running of the cosmological constant and of Newton's constant is influenced by fluctuation couplings.
Resumo:
Die Verbreitung von Vögeln kann von sehr unterschiedlichen Faktoren (z.B. Habitatstruktur, Klima, Nahrungsverfügbarkeit, Evolutionsgeschichte) beeinflusst werden, die zudem auf verschiedenen räumlichen Skalen (lokal bis global) unterschiedlich wirken. In dieser Dissertation wurde die Artenvielfalt früchtefressender Vogelarten auf regionalem, kontinentalem und globalem Maßstab untersucht und getestet ob sie von Habitatstruktur (Landnutzung, Topographie, Vegetationsstruktur), Klima (Temperatur, Niederschlag, Evapotranspiration), Nahrungsressourcen (früchtetragende Baumarten), oder historischen Faktoren (biogeographische Region) bestimmt wird. Dazu wurden umfangreiche geographische Datenbanken auf verschiedenen räumlichen Skalen, d.h. auf regionalem (Kenia), kontinentalem (Afrika), und globalem (Welt) Maßstab, ausgewertet, die die Verbreitung aller Vogelarten und wichtiger Umweltfaktoren enthalten. Statistische Analysen auf globalem Maßstab zeigten, dass die Verbreitung von Früchtefressern sehr gut mit klimatischen Variablen, insbesondere aktueller Evapotranspiration und Produktivität, beschrieben werden kann. Unterschiede zwischen biogeographischen Regionen bleiben jedoch bestehen auch wenn für klimatische Unterschiede zwischen den Regionen korrigiert wird. Weiter zeigen unterschiedliche Ordnungen mit früchtefressenden Vogelarten unterschiedliche Diversifizierungsmuster. Dies deutet darauf hin, dass auch historische Faktoren, wie die Klima- und Evolutionsgeschichte, eine wichtige Rolle spielen. Analysen auf regionalem und kontinentalem Maßstab legen nahe, dass klimatische Faktoren im Wesentlichen indirekt auf die Artenvielfalt von Früchtefressern wirken, und zwar durch funktionelle Beziehungen zwischen Früchtefressern und Bäumen (z.B. trophische Interaktionen mit wichtigen Nahrungspflanzen, Vegetationsstruktur). Die Ergebnisse dieser Dissertation zeigen, dass biotische Interaktionen, direkte und indirekte klimatische Effekte, und das Zusammenwirken von Evolutionsgeschichte und heutigen Umweltbedingungen untersucht werden müssen um den Artenreichtum von Vögeln auf großem räumlichem Maßstab zu verstehen.
Resumo:
For an infinite field F, we study the integral relationship between the Bloch group B_2(F) and the higher Chow group CH^2(F,3) by proving some relations corresponding to the functional equations of the dilogarithm. As a second result, the groups involved in Suslin’s exact sequence 0 → Tor^1(F^× ,F^×)∼ → CH^2(F,3) → B_2(F) → 0 are identified with homology groups of the cycle complex Z^2(F,•) computing Bloch’s higher Chow groups. Using these results, we give explicit cycles in motivic cohomology generating the integral motivic cohomology groups of some specific number fields and determine whether a given cycle in the Chow group already lives in one of the other groups of Suslin’s sequence. In principle, this enables us to find a presentation of the codimension two Chow group of an arbitrary number field. Finally, we also prove some relations in the higher Chow groups of codimension three modulo 2-torsion coming from relations in the higher Bloch group B_3(F) modulo 2-torsion. Further, we can prove a series of relations in CH^ 3(Q(zeta_p),5) for a primitive pth root of unity zeta_p.
Resumo:
Cancer is a multi-step process in which both the activation of oncogenes and the inactivation of tumor suppressor genes alter the normal cellular programs to a state of proliferation and growth. The regulation of a number of tumor suppressor genes and the mechanism underlying the tumor suppression have been intensively studied. Hugl-1 and Hugl-2, the human homologues of Drosophila lgl are shown to be down-regulated in a variety of cancers including breast, colon, lung and melanoma, but the mechanism responsible for loss of expression is not yet known. The regulation of gene expression is influenced by factors inducing or repressing transcription. The present study was focused on the identification and characterization of the active promoters of Hugl-1 and Hugl-2. Further, the regulation of the promoter and functional consequences of this regulation by specific transcription factors was analyzed. Experiments to delineate the function of the mouse homologue of Hugl-2, mgl2 using transgenic mice model were performed. This study shows that the active promoter for both Hugl-1 and Hugl-2 is located 1000bp upstream of transcription start sites. The study also provides first insight into the regulation of Hugl-2 by an important EMT transcriptional regulator, Snail. Direct binding of Snail to four E-boxes present in Hugl-2 promoter region results in repression of Hugl-2 expression. Hugl-1 and Hugl-2 plays pivotal role in establishment and maintenance of cell polarity in a diversity of cell types and organisms. Loss of epithelial cell polarity is a prerequisite for cancer progression and metastasis and is an important step in inducing EMT in cells. Regulation of Hugl-2 by Snail suggests one of the initial events towards loss of epithelial cell polarity during Snail-mediated EMT. Another important finding of this study is the induction of Hugl-2 expression can reverse the Snail-driven EMT. Inducing Hugl-2 in Snail expressing cells results in the re-expression of epithelial markers E-cadherin and Cytokeratin-18. Further, Hugl-2 also reduces the rate of tumor growth, cell migration and induces the epithelial phenotype in 3D culture model in cells expressing Snail. Studies to gain insight into the signaling pathways involved in reversing Snail-mediated EMT revealed that induction of Hugl-2 expression interferes with the activation of extracellular receptor kinase, Erk. Functional aspects of mammalian lgl in vivo was investigated by establishing mgl2 conditional knockout mice. Though disruption of mgl2 gene in hepatic tissues did not alter the growth and development, ubiquitous disruption of mgl2 gene causes embryonic lethality which is evident by the fact that no mgl2-/- mice were born.