Rafael Moneo: la complessità del vuoto. Dalle matrici formali dell'opera di Oteiza e Chillida

The experience of void, essential to the production of forms and to make use them, can be considered as the base of the activities that attend to the formative processes. If void and matter constitutes the basic substances of architecture. Their role in the definition of form, the symbolic value and the constructive methods of it defines the quality of the space. This job inquires the character of space in the architecture of Moneo interpreting the meaning of the void in the Basque culture through the reading of the form matrices in the work of Jorge Oteiza and Eduardo Chillida. In the tie with the Basque culture a reading key is characterized by concurring to put in relation some of the theoretical principles expressed by Moneo on the relationship between place and time, in an unique and specific vision of the space. In the analysis of the process that determines the genesis of the architecture of Moneo emerges a trajectory whose direction is constructed on two pivos: on the one hand architecture like instrument of appropriation of the place, gushed from an acquaintance process who leans itself to the reading of the relations that define the place and of the resonances through which measuring it, on the other hand the architecture whose character is able to represent and to extend the time in which he is conceived, through the autonomy that is conferred to them from values. Following the trace characterized from this hypothesis, that is supported on the theories elaborated from Moneo, surveying deepens the reading of the principles that construct the sculptural work of Oteiza and Chillida, features from a search around the topic of the void and to its expression through the form. It is instrumental to the definition of a specific area that concurs to interpret the character of the space subtended to a vision of the place and the time, affine to the sensibility of Moneo and in some way not stranger to its cultural formation. The years of the academic formation, during which Moneo enters in contact with the Basque artistic culture, seem to be an important period in the birth of that knowledge that will leads him to the formulation of theories tied to the relationship between time, place and architecture. The values expressed through the experimental work of Oteiza and Chillida during years '50 are valid bases to the understanding of such relationships. In tracing a profile of the figures of Oteiza and Chillida, without the pretension that it is exhaustive for the reading of the complex historical period in which they are placed, but with the needs to put the work in a context, I want to be evidenced the important role carried out from the two artists from the Basque cultural area within which Moneo moves its first steps. The tie that approaches Moneo to the Basque culture following the personal trajectory of the formative experience interlaces to that one of important figures of the art and the Spanish architecture. One of the more meaningful relationships is born just during the years of his academic formation, from 1958 to the 1961, when he works like student in the professional office of the architect Francisco Sáenz de Oiza, who was teaching architectural design at the ETSAM. In these years many figures of Basque artists alternated at the professional office of Oiza that enjoys the important support of the manufacturer and maecenas Juan Huarte Beaumont, introduced to he from Oteiza. The tie between Huarte and Oteiza is solid and continuous in the years and it realizes in a contribution to many of the initiatives that makes of Oteiza a forwarder of the Basque culture. In the four years of collaboration with Oiza, Moneo has the opportunity to keep in contact with an atmosphere permeated by a constant search in the field of the plastic art and with figures directly connected to such atmosphere. It’s of a period of great intensity as in the production like in the promotion of the Basque art. The collective “Blanco y Negro”, than is held in 1959 at the Galería Darro to Madrid, is only one of the many times of an exhibition of the work of Oteiza and Chillida. The end of the Fifties is a period of international acknowledgment for Chillida that for Oteiza. The decade of the Fifties consecrates the hypotheses of a mythical past of the Basque people through the spread of the studies carried out in the antecedent years. The archaeological discoveries that join to a context already rich of signs of the prehistoric era, consolidate the knowledge of a strong cultural identity. Oteiza, like Chillida and other contemporary artists, believe in a cosmogonist conception belonging to the Basques, connected to their matriarchal mythological past. The void in its meaning of absence, in the Basque culture, thus as in various archaic and oriental religions, is equivalent to the spiritual fullness as essential condition to the revealing of essence. Retracing the archaic origins of the Basque culture emerges the deep meaning that the void assumes as key element in the religious interpretation of the passage from the life to the death. The symbology becomes rich of meaningful characters who derive from the fact that it is a chthonic cult. A representation of earth like place in which divine manifest itself but also like connection between divine and human, and this manipulation of the matter of which the earth it is composed is the tangible projection of the continuous search of the man towards God. The search of equilibrium between empty and full, that characterizes also the development of the form in architecture, in the Basque culture assumes therefore a peculiar value that returns like constant in great part of the plastic expressions, than in this context seem to be privileged regarding the other expressive forms. Oteiza and Chillida develop two original points of view in the representation of the void through the form. Both use of rigorous systems of rules sensitive to the physics principles and the characters of the matter. The last aim of the Oteiza’s construction is the void like limit of the knowledge, like border between known and unknown. It doesn’t means to reduce the sculptural object to an only allusive dimension because the void as physical and spiritual power is an active void, that possesses that value able to reveal the being through the trace of un-being. The void in its transcendental manifestation acts at the same time from universal and from particular, like in the atomic structure of the matter, in which on one side it constitutes the inner structure of every atom and on the other one it is necessary condition to the interaction between all the atoms. The void can be seen therefore as the action field that concurs the relations between the forms but is also the necessary condition to the same existence of the form. In the construction of Chillida the void represents that counterpart structuring the matter, inborn in it, the element in absence of which wouldn’t be variations neither distinctive characters to define the phenomenal variety of the world. The physics laws become the subject of the sculptural representation, the void are the instrument that concurs to catch up the equilibrium. Chillida dedicate himself to experience the space through the senses, to perceive of the qualities, to tell the physics laws which forge the matter in the form and the form arranges the places. From the artistic experience of the two sculptors they can be transposed, to the architectonic work of Moneo, those matrices on which they have constructed their original lyric expressions, where the void is absolute protagonist. An ambit is defined thus within which the matrices form them drafts from the work of Oteiza and Chillida can be traced in the definition of the process of birth and construction of the architecture of Moneo, but also in the relation that the architecture establishes with the place and in the time. The void becomes instrument to read the space constructed in its relationships that determine the proportions, rhythms, and relations. In this way the void concurs to interpret the architectonic space and to read the value of it, the quality of the spaces constructing it. This because it’s like an instrument of the composition, whose role is to maintain to the separation between the elements putting in evidence the field of relations. The void is that instrument that serves to characterize the elements that are with in the composition, related between each other, but distinguished. The meaning of the void therefore pushes the interpretation of the architectonic composition on the game of the relations between the elements that, independent and distinguished, strengthen themselves in their identity. On the one hand if void, as measurable reality, concurs all the dimensional changes quantifying the relationships between the parts, on the other hand its dialectic connotation concurs to search the equilibrium that regulated such variations. Equilibrium that therefore does not represent an obtained state applying criteria setting up from arbitrary rules but that depends from the intimate nature of the matter and its embodiment in the form. The production of a form, or a formal system that can be finalized to the construction of a building, is indissolubly tied to the technique that is based on the acquaintance of the formal vocation of the matter, and what it also can representing, meaning, expresses itself in characterizing the site. For Moneo, in fact, the space defined from the architecture is above all a site, because the essence of the site is based on the construction. When Moneo speaks about “birth of the idea of plan” like essential moment in the construction process of the architecture, it refers to a process whose complexity cannot be born other than from a deepened acquaintance of the site that leads to the comprehension of its specificity. Specificity arise from the infinite sum of relations, than for Moneo is the story of the oneness of a site, of its history, of the cultural identity and of the dimensional characters that that they are tied to it beyond that to the physical characteristics of the site. This vision is leaned to a solid made physical structure of perceptions, of distances, guideline and references that then make that the process is first of all acquaintance, appropriation. Appropriation that however does not happen for directed consequence because does not exist a relationship of cause and effect between place and architecture, thus as an univocal and exclusive way does not exist to arrive to a representation of an idea. An approach that, through the construction of the place where the architecture acquires its being, searches an expression of its sense of the truth. The proposal of a distinction for areas like space, matter, spirit and time, answering to the issues that scan the topics of the planning search of Moneo, concurs a more immediate reading of the systems subtended to the composition principles, through which is related the recurrent architectonic elements in its planning dictionary. From the dialectic between the opposites that is expressed in the duality of the form, through the definition of a complex element that can mediate between inside and outside as a real system of exchange, Moneo experiences the form development of the building deepening the relations that the volume establishes in the site. From time to time the invention of a system used to answer to the needs of the program and to resolve the dual character of the construction in an only gesture, involves a deep acquaintance of the professional practice. The technical aspect is the essential support to which the construction of the system is indissolubly tied. What therefore arouses interest is the search of the criteria and the way to construct that can reveal essential aspects of the being of the things. The constructive process demands, in fact, the acquaintance of the formative properties of the matter. Property from which the reflections gush on the relations that can be born around the architecture through the resonance produced from the forms. The void, in fact, through the form is in a position to constructing the site establishing a reciprocity relation. A reciprocity that is determined in the game between empty and full and of the forms between each other, regarding around, but also with regard to the subjective experience. The construction of a background used to amplify what is arranged on it and to clearly show the relations between the parts and at the same time able to tie itself with around opening the space of the vision, is a system that in the architecture of Moneo has one of its more effective applications in the use of the platform used like architectonic element. The spiritual force of this architectonic gesture is in the ability to define a place whose projecting intention is perceived and shared with who experience and has lived like some instrument to contact the cosmic forces, in a delicate process that lead to the equilibrium with them, but in completely physical way. The principles subtended to the construction of the form taken from the study of the void and the relations that it concurs, lead to express human values in the construction of the site. The validity of these principles however is tested from the time. The time is what Moneo considers as filter that every architecture is subordinate to and the survival of architecture, or any of its formal characters, reveals them the validity of the principles that have determined it. It manifests thus, in the tie between the spatial and spiritual dimension, between the material and the worldly dimension, the state of necessity that leads, in the construction of the architecture, to establish a contact with the forces of the universe and the intimate world, through a process that translate that necessity in elaboration of a formal system.

Measure of Global Specialization and Spatial Clustering for the Identification of "Specialized" Agglomeration

The intensity of regional specialization in specific activities, and conversely, the level of industrial concentration in specific locations, has been used as a complementary evidence for the existence and significance of externalities. Additionally, economists have mainly focused the debate on disentangling the sources of specialization and concentration processes according to three vectors: natural advantages, internal, and external scale economies. The arbitrariness of partitions plays a key role in capturing these effects, while the selection of the partition would have to reflect the actual characteristics of the economy. Thus, the identification of spatial boundaries to measure specialization becomes critical, since most likely the model will be adapted to different scales of distance, and be influenced by different types of externalities or economies of agglomeration, which are based on the mechanisms of interaction with particular requirements of spatial proximity. This work is based on the analysis of the spatial aspect of economic specialization supported by the manufacturing industry case. The main objective is to propose, for discrete and continuous space: i) a measure of global specialization; ii) a local disaggregation of the global measure; and iii) a spatial clustering method for the identification of specialized agglomerations.

Le coniche

Scopo della tesi è presentare una piccola panoramica sulle coniche incentrata principalmente sui contenuti proposti nella scuola superiore: definizioni delle coniche come luoghi geometrici, alcune proprietà elementari, le loro equazioni canoniche, un esempio dei problemi proposti sui testi e applicazioni extra-geometriche. Successivamente sono presentate altre proprietà più specialistiche: similitudine ed eccentricità, classificazione affine e classificazione proiettiva delle coniche, per mostrare come questo argomento per essere affrontato in modo più vasto richieda nozioni che solitamente non fanno parte dei programmi della scuola superiore: similitudini, affinità, trasformazioni proiettive, matrici e loro rango, autovalori ed autovettori, forme quadratiche. Sono inoltre presentate alcune costruzioni realizzate con l’ausilio del software Geogebra, ormai diffuso in molte scuole, che riunisce in una sola pagina grafica sia il piano euclideo, tipico della "Geometria dinamica", sia il piano cartesiano su cui tracciare i grafici di funzioni, ed equazioni di coniche.

Hypersurfaces with many singularities

1. Teil: Bekannte Konstruktionen. Die vorliegende Arbeit gibt zunächst einen ausführlichen Überblick über die bisherigen Entwicklungen auf dem klassischen Gebiet der Hyperflächen mit vielen Singularitäten. Die maximale Anzahl mu^n(d) von Singularitäten auf einer Hyperfläche vom Grad d im P^n(C) ist nur in sehr wenigen Fällen bekannt, im P^3(C) beispielsweise nur für d<=6. Abgesehen von solchen Ausnahmen existieren nur obere und untere Schranken. 2. Teil: Neue Konstruktionen. Für kleine Grade d ist es oft möglich, bessere Resultate zu erhalten als jene, die durch allgemeine Schranken gegeben sind. In dieser Arbeit beschreiben wir einige algorithmische Ansätze hierfür, von denen einer Computer Algebra in Charakteristik 0 benutzt. Unsere anderen algorithmischen Methoden basieren auf einer Suche über endlichen Körpern. Das Liften der so experimentell gefundenen Hyperflächen durch Ausnutzung ihrer Geometrie oder Arithmetik liefert beispielsweise eine Fläche vom Grad 7 mit $99$ reellen gewöhnlichen Doppelpunkten und eine Fläche vom Grad 9 mit 226 gewöhnlichen Doppelpunkten. Diese Konstruktionen liefern die ersten unteren Schranken für mu^3(d) für ungeraden Grad d>5, die die allgemeine Schranke übertreffen. Unser Algorithmus hat außerdem das Potential, auf viele weitere Probleme der algebraischen Geometrie angewendet zu werden. Neben diesen algorithmischen Methoden beschreiben wir eine Konstruktion von Hyperflächen vom Grad d im P^n mit vielen A_j-Singularitäten, j>=2. Diese Beispiele, deren Existenz wir mit Hilfe der Theorie der Dessins d'Enfants beweisen, übertreffen die bekannten unteren Schranken in den meisten Fällen und ergeben insbesondere neue asymptotische untere Schranken für j>=2, n>=3. 3. Teil: Visualisierung. Wir beschließen unsere Arbeit mit einer Anwendung unserer neuen Visualisierungs-Software surfex, die die Stärken mehrerer existierender Programme bündelt, auf die Konstruktion affiner Gleichungen aller 45 topologischen Typen reeller kubischer Flächen.

Quantum groups and vertex models

Nella tesi vengono presentate alcune relazioni fra gruppi quantici e modelli reticolari. In particolare si associa un modello vertex a una rappresentazione di un'algebra inviluppante quantizzata affine e si mostra che, specializzando il parametro quantistico ad una radice dell'unità, si manifestano speciali simmetrie.

Synthese, Tritierung, 99m Tc-Markierung und Evaluierung von Benzamid-Derivaten zur Visualisierung der D 2, D 3-Rezeptoren

Die Diagnose und Therapie von neurodegenerativen Krankheiten, wie beispielsweise Morbus Parkinson besitzt in der heutigen Gesellschaft eine immer größere Bedeutung. Über moderne, bild¬gebende nuklear¬medizinische Verfahren wie SPECT und PET ist es mit geeigneten Radioliganden möglich, Morbus Parkinson vor dem Auftreten von Symptomen zu diagnostizieren. Ein wichtiger Ansatzpunkt zur Diagnose von Morbus Parkinson ist die Visualisierung der postsynaptischen Dopamin-Rezeptoren über radioaktiv (11C, 18F, 123I) markierte Benz¬amid-Derivate. Auf Grundlage der (S)-Pyrolidin-2,3-dimethoxy-Benzamid-Struktur des 18F-Liganden Fallypride wurden verschiedene 99mTc-markierte Benzamid-Derivate als potentielle Radio¬liganden zur Parkinson-Diagnostik entwickelt. Um das Potential von Metall-konjugierten Benzamiden abschätzen zu können, wurden zunächst einfache Vergleichssubstanzen entwickelt. Diese sollten die Einführung eines Chelators simulieren und wurden hierfür hinsichtlich ihrer in vitro-Bindungsaffinitäten zu den Dopamin-, Serotonin- und adrenergen Rezeptoren evaluiert. Die zunächst entwickelten Derivate mit unterschiedlichen Kettenlängen zur Kopplung des Chelators zeigten für die Propylkette Affinitäten im nanomolaren Bereich. Im Anschluss sollten basierend auf diesen Ergebnissen vier verschiedene Chelatoren (Carbony-Cyclopentadienyl, Amido-Cyclopentadienyl, 2-Pyridyl-Imin und N2S2) über eine Propylkette an die 5-Position der Benzamidgrundstruktur gekoppelt werden. Die geplante Synthese des Carbonyl-Cyclopentadienyl-Derivates gelang jedoch nicht. Für die weiteren Chelatoren (Amido-Cyclopentadieny, 2-Pyridyl-Imin und N2S2) konnten die jeweiligen Markierungs¬vorläufer und Rhenium-Komplexe dargestellt werden, die ebenfalls hinsichtlich ihrer Bindungs¬affinitäten evaluiert wurden. Die erzielten Affinitäten zeigten, dass eine Über¬tragung der Affinitäten der einfachen Vergleichssubstanzen auf die komplexeren Metall-Benzamide nicht möglich war. Insbesondere der N2S2-Rhenium-Komplex besitzt nur noch geringe Affinität (490 - 900 nM) zu den D2- und D3-Rezeptoren. Die mittel-affinen 2-Pyridyl-Imin- und Amdio¬cyclopentadien-Komplexe wurden mit 99mTc markiert und die Markierungsausbeute hinsichtlich Reaktionstemperatur, Markierungs-vorläuferkonzentration und Heizmethoden optimiert. Dabei konnte der Imin-Komplex quantitativ mittels fac-[99mTc(CO)3(H2O)3]+ in 30 Minuten bei 45°C markiert werden. Der Amido-Cyclopentadien-Komplex konnte über die Umsetzung des Ferrocen-Markierungsvorläufer mit Mn(CO)5Br und [99mTcO4]- in Ausbeuten von bis zu 60 % markiert werden. Im Anschluss an die Markierungen wurden die 99mTc-Komplexe über HPLC isoliert und in in vitro-Auto¬radiographien von Rattenhirnschnitten weiter evaluiert. Die erhaltenen Ergebnisse bestätigten die für die Rhenium-Komplexe erzielten Affinitäten und zeigten keine spezifische Anreicherung in bestimmten Hirnarealen. Aus diesen Ergebnissen kann ge¬schlossen werden, dass die dargestellten 99mTc-Benzamide aufgrund mangelnder Affinitäten und einer hohen unspezifischen Bindung keine geeigneten Liganden zur Darstellung der D2- und D3- Rezeptoren sind. Um die dargestellten 99mTc-Benzamide mit [18F]Fallypride vergleichen zu können, wurde zusätzlich [3H]Fallypride dargestellt. Hierfür wurde zunächst der Nor-Markierungsvor¬läufer synthetisiert und die Markierungsausbeute optimiert. Die finale Umsetzung mit [3H]Methylnosylat ergab nach HPLC-Aufreinigung 15 mCi [3H]Fallypride mit einer radio¬chemischen Reinheit von >99,5 %. Erste Autoradiographien zeigten eine hohe Anreicherung des Liganden im Striatum, verbunden mit einer sehr niedrigen unspezifischen Bindung.

Synthesis and evaluation of 18-F-radiopharmaceuticals within the serotonergic receptor system for molecular imaging

Molecular imaging technologies as Positron Emission Tomography (PET) are playing a key role in drug discovery, development and delivery due to the possibility to quantify e.g. the binding potential in vivo, non-invasively and repetitively. In this context, it provides a significant advance in the understanding of many CNS disorders and conditions. The serotonergic receptor system is involved in a number of important physiological processes and diseases such as depression, schizophrenia, Alzheimer’s disease, sleep or sexual behaviour. Especially, the 5-HT2A and the 5-HT1A receptor subtypes are in the focus of fundamental and clinical research due to the fact that many psychotic drugs interact with these neuronal transmembrane receptors. This work describes the successful development, as well as in vitro and in vivo evaluation of 5-HT2A and 5-HT1A selective antagonistic PET-radiotracers. The major achievements obtained in this thesis are: 1. the development and in vitro evaluation of several 5-HT2A antagonistic compounds, namely MH.MZ (Ki = 9.0 nM), (R)-MH.MZ (Ki = 0.72 nM) and MA-1 (Ki = 3.0 nM). 2. the 18F-labeling procedure of these compounds and their optimization, whereby radiochemical yields > 35 % in high specific activities (> 15 GBq/µmol) could be observed. Synthesis time inclusive secondary synthon synthesis, the radioactive labeling procedure, separation and final formulation took no longer than 120 min and provided the tracer in high radiochemical purity. 3. the in vivo µPET evaluation of [18F]MH.MZ and (R)-[18F]MH.MZ resulting in promising imaging agents of the 5-HT2A receptor status; from which (R)-[18F]MH.MZ seems to be the most promising ligand. 4. the determination of the influence of P-gp on the brain biodistribution of [18F]MH.MZ showing a strong P-gp dependency but no regional alteration. 5. the four-step radiosynthesis and evaluation of [18F]MDL 100907 resulting in another high affine tracer, which is, however, limited due to its low radiochemical yield. 6. the development and evaluation of 3 novel possible 5-HT2A imaging agents combining structural elements of altanserin, MDL 100907 and SR 46349B demonstrating different binding modes of these compounds. 7. the development, the labeling and in vitro evaluation of the novel 5-HT1A antagonistic tracer [18F]AH1.MZ (Ki = 4.2 nM).

The development of stylolites, from small-scale heterogeneities to multi-scale roughness

Stylolites are rough paired surfaces, indicative of localized stress-induced dissolution under a non-hydrostatic state of stress, separated by a clay parting which is believed to be the residuum of the dissolved rock. These structures are the most frequent deformation pattern in monomineralic rocks and thus provide important information about low temperature deformation and mass transfer. The intriguing roughness of stylolites can be used to assess amount of volume loss and paleo-stress directions, and to infer the destabilizing processes during pressure solution. But there is little agreement on how stylolites form and why these localized pressure solution patterns develop their characteristic roughness.rnNatural bedding parallel and vertical stylolites were studied in this work to obtain a quantitative description of the stylolite roughness and understand the governing processes during their formation. Adapting scaling approaches based on fractal principles it is demonstrated that stylolites show two self affine scaling regimes with roughness exponents of 1.1 and 0.5 for small and large length scales separated by a crossover length at the millimeter scale. Analysis of stylolites from various depths proved that this crossover length is a function of the stress field during formation, as analytically predicted. For bedding parallel stylolites the crossover length is a function of the normal stress on the interface, but vertical stylolites show a clear in-plane anisotropy of the crossover length owing to the fact that the in-plane stresses (σ2 and σ3) are dissimilar. Therefore stylolite roughness contains a signature of the stress field during formation.rnTo address the origin of stylolite roughness a combined microstructural (SEM/EBSD) and numerical approach is employed. Microstructural investigations of natural stylolites in limestones reveal that heterogeneities initially present in the host rock (clay particles, quartz grains) are responsible for the formation of the distinctive stylolite roughness. A two-dimensional numerical model, i.e. a discrete linear elastic lattice spring model, is used to investigate the roughness evolving from an initially flat fluid filled interface induced by heterogeneities in the matrix. This model generates rough interfaces with the same scaling properties as natural stylolites. Furthermore two coinciding crossover phenomena in space and in time exist that separate length and timescales for which the roughening is either balanced by surface or elastic energies. The roughness and growth exponents are independent of the size, amount and the dissolution rate of the heterogeneities. This allows to conclude that the location of asperities is determined by a polimict multi-scale quenched noise, while the roughening process is governed by inherent processes i.e. the transition from a surface to an elastic energy dominated regime.rn

Caratterizzazione della superficie di array di nanofili di silicio

Nel primo capitolo viene introdotto lo studio eff�ettuato e descritto un metodo di misure successivo alla caratterizzazione della super�ficie. Nel secondo capitolo vengono descritti i campioni analizzati e, nello speci�fico, la crescita attraverso MaCE dei nanofi�li di silicio. Nel terzo capitolo viene descritto lo strumento AFM utilizzato e la teoria della caratterizzazione alla base dello studio condotto. Nella quarta sezione vengono descritti i risultati ottenuti mentre nelle conclusioni viene tratto il risultato dei valori ottenuti di RMS roughness e roughness exponent.

Synthese, Evaluierung und 18 F-Markierung von neuen Liganden zur Visualisierung der Strychnin-insensitiven Bindungsstelle des NMDA-Rezeptors

Glutamat ist der wichtigste exzitatorische Neurotransmitter im Gehirn. Folglich spielen Glutamat-kontrollierte Rezeptorsysteme eine entscheidende Rolle in neurologischen Vorgängen, wie beispielsweise in Lern- und Gedächtnisprozessen. Gerade der NMDA-Rezeptor ist in eine Vielzahl solcher Vorgänge involviert und wird vor allem mit neurodegenerativen Erkrankungen wie Chorea Huntington, Morbus Alzheimer, Morbus Parkinson und zerebraler Ischämie in Verbindung gebracht. Folglich stellt die Visualisierung des NMDA-Rezeptorstatus eine Möglichkeit dar, den Verlauf solcher Prozesse zu untersuchen.rnDie Positronen-Emissions-Tomographie (PET) ist eine leistungsstarke Anwendung in der molekularen Bildgebung und erlaubt die in vivo-Visualisierung sowie Quantifizierung biochemischer Prozesse. Durch die Verwendung geeigneter Tracer können bestimmte pathologische und neurologische Abläufe beurteilt werden. rnZurzeit sind keine geeigneten PET-Tracer zur Untersuchung des NMDA-Rezeptors verfügbar. Bisher dargestellte PET-Liganden zeichneten sich durch nicht zufriedenstellende Affinitäten und Selektivitäten aus und führten meist auf Grund der hohen Lipophilie zu einem hohen Maß an unspezifischer Bindung. rnDie Strychnin-insensitive Glycinbindungsstelle des NMDA-Rezeptors stellt ein vielversprechendes Target dar, spezifische Liganden für diese Bindungsstelle zu synthetisieren. Hier zeichnen sich einige Verbindungsklassen durch exzellente Affinitäten und Selektivitäten sowie durch vielversprechende in vivo-Eigenschaften aus. rnAuf Grundlage dieser biologischen Daten wurden zwei Substanzen der 2-Indolcarbonsäure, nämlich die 4,6-Dichlor-3-(2-oxo-3-phenylimidazolidin-1-ylmethyl)-1H-indol-2-carbonsäure (MDJ-114) und die (E)-4,6-Dichlor-3-(2-phenylcarbamoylvinyl)-1H-indol-2-carbonsäure (GV150526), als Leitstruktur gewählt. Ferner wurde das 7-Chlor-4-hydroxy-3-(3-phenoxyphenyl)-1H-chinolin-2-on (L-701,324) aus der Substanzklasse der 4-Hydroxy-1H-chinolin-2-one als dritte Leitstruktur gewählt.rnFür diese Substanzen wurden 19F-markierte Analogverbindungen synthetisiert, um als inaktive Referenzverbindungen auf ihre Eignung überprüft zu werden. Hierzu wurde eine Fluorethoxygruppierung im terminalen Phenylring der entsprechenden Leitstruktur eingeführt. Durch Variation der Fluorethoxysubstitution in ortho-, meta- und para-Stellung, konnten die besten Affinitäten in einem kompetitiven Rezeptorbindungsassay durch Verdrängung von [3H]MDL-105,519 bestimmt werden. Als Maß für die Lipophilie wurden die entsprechenden log D-Werte über die HPLC-Methode bestimmt. Basierend auf den Ergebnissen der Evaluierung wurden zwei Derivate identifiziert, welche zur 18F-Markierung genutzt werden sollten (GV150526-Derivat 34: log D = 0,23 ± 0,03, IC50 = 0,20 ± 0,25 µM, Ki = 0,13 ± 0,16 µM; L701,324-Derivat 55: log D = - 0,25 ± 0,01, IC50 = 78 ± 37 µM, Ki = 51 ± 24 µM). Die 18F-Markierung erfolgte durch die Reaktion des entsprechenden Markierungsvorläufers mit dem Markierungssynthon 2-[18F]Fluorethyltosylat, welches durch die Umsetzung von Ethylenditosylat mit [18F]Fluorid hergestellt wurde. Die Radiosynthesen der beiden 18F-markierten Verbindungen [18F]34 (4,6-Dichlor-3-{2-[4-(2-[18F]fluorethoxy)-phenylcarbamoyl]-vinyl}-1H-indol-2-carbonsäure) und [18F]55 (7-Chlor-3-{3-[4-(2-[18F]fluorethoxy)-phenoxy]-phenyl}-4-hydroxy-1H-chinolin-2-on) wurden optimiert sowie semipräparative Abtrennverfahren entwickelt. Beide Tracer wurden auf ihre in vivo-Eignung im µPET-Experiment untersucht. Die Zeitaktivitätskurven lassen erkennen, dass beide Tracer entgegen der Erwartung nicht die Blut-Hirn-Schranke überwinden können. Für das GV150526-Derivat ([18F]34) wurden zusätzlich Autoradiographiestudien durchgeführt. Die erhaltenen Aufnahmen zeigten ein heterogenes Verteilungsmuster der Aktivitätsanreicherung. Ebenso wurde ein hohes Maß an unspezifischer Bindung beobachtet. Möglicherweise sind Cross-Affinitäten zu anderen Rezeptorsystemen oder der recht hohe lipophile Rest des Moleküls hierfür verantwortlich. Ein Grund für die unzureichende Hirngängigkeit der Radioliganden kann sich in der Carboxylatfunktion des GV150526-Derivats bzw. in der 4-Hydroxy-1H-chinolin-2-on-Einheit des L-701,324-Derivats wiederspiegeln. rnAuf Grundlage dieser Resultate können Versuche unternommen werden, für die Verbindungsklasse der 2-Indolcarbonsäuren entsprechende Ester als Prodrugs mit einer verbesserten Bioverfügbarkeit darzustellen. Ebenso können neue Strukturen als Grundlage für neue PET-Tracer untersucht werden.rnrn

Moduli spaces of (G,h)-constellations

Given a reductive group G acting on an affine scheme X over C and a Hilbert function h: Irr G → N_0, we construct the moduli space M_Ө(X) of Ө-stable (G,h)-constellations on X, which is a common generalisation of the invariant Hilbert scheme after Alexeev and Brion and the moduli space of Ө-stable G-constellations for finite groups G introduced by Craw and Ishii. Our construction of a morphism M_Ө(X) → X//G makes this moduli space a candidate for a resolution of singularities of the quotient X//G. Furthermore, we determine the invariant Hilbert scheme of the zero fibre of the moment map of an action of Sl_2 on (C²)⁶ as one of the first examples of invariant Hilbert schemes with multiplicities. While doing this, we present a general procedure for the realisation of such calculations. We also consider questions of smoothness and connectedness and thereby show that our Hilbert scheme gives a resolution of singularities of the symplectic reduction of the action.

Teoria della dimensione di anelli affini

In questa tesi viene mostrata l'uguaglianza tra la dimensione di un anello affine, definita come grado di trascendenza del suo campo delle frazioni sul campo base, e il grado del polinomio di Hilbert associato alla sua localizzazione rispetto a un qualsiasi ideale massimale.

The geometry of Lagrangian fibres

If the generic fibre f−1(c) of a Lagrangian fibration f : X → B on a complex Poisson– variety X is smooth, compact, and connected, it is isomorphic to the compactification of a complex abelian Lie–group. For affine Lagrangian fibres it is not clear what the structure of the fibre is. Adler and van Moerbeke developed a strategy to prove that the generic fibre of a Lagrangian fibration is isomorphic to the affine part of an abelian variety.rnWe extend their strategy to verify that the generic fibre of a given Lagrangian fibration is the affine part of a (C∗)r–extension of an abelian variety. This strategy turned out to be successful for all examples we studied. Additionally we studied examples of Lagrangian fibrations that have the affine part of a ramified cyclic cover of an abelian variety as generic fibre. We obtained an embedding in a Lagrangian fibration that has the affine part of a C∗–extension of an abelian variety as generic fibre. This embedding is not an embedding in the category of Lagrangian fibrations. The C∗–quotient of the new Lagrangian fibration defines in a natural way a deformation of the cyclic quotient of the original Lagrangian fibration.

Superfici rigate

Intuitivamente una superficie S è rigata se è un'unione di rette o, equivalentemente, se per ogni punto di essa passa una retta che giace interamente sulla superficie. La superficie si dice doppiamente rigata se per ogni suo punto passano due rette della superficie. Gli esempi più comuni e facili da visualizzare sono i piani, i coni e i cilindri. Scopo di questo elaborato è lo studio delle superfici rigate dello spazio affine reale tridimensionale e delle loro proprietà geometriche locali e globali, con particolare attenzione allo studio delle superfici sviluppabili e delle quadriche rigate. Si considereranno poi le rigate nello spazio proiettivo tridimensionale complesso per arrivare ad un risultato classico sulle superfici algebriche rigate luogo delle rette che si appoggiano a tre curve dello spazio. Nonostante le rigate siano tra le superfici più semplici, il loro studio può essere effettuato da diversi punti di vista: quello della geometria analitica elementare, della geometria differenziale e della geometria proiettiva. La proprietà di una superficie di essere rigata o doppiamente rigata si conserva per trasformazioni affini e per trasformazioni proiettive, e questo le ha rese largamente utilizzate in architettura, come mostra l’ampia letteratura al riguardo.

Synthesen von C-glycosylierten Aminosäuren und Peptiden unter Einsatz speziell konstruierter Mikroreaktoren

Die chemische Synthese definierter Glycopeptidstrukturen bildet die Basis einiger vielversprechender Ansätze zur Therapie verschiedener Krankheiten. Die Entwicklung hochaffiner Selektininhibitoren könnte der Behandlung chronischer Entzündungen und zur Unterdrückung der Metastasierung von Tumoren dienen. Vollsynthetische Vakzine auf Basis glycosylierter MUC1-Partialstrukturen sollen das Immunsystem zur Bekämpfung von krankem Gewebe anregen und so perspektivisch eine Impfung gegen Krebs ermöglichen. Da die natürlich vorkommenden O-Glycoside in vivo eine begrenzte Stabilität besitzen, wurde eine Methode entwickelt, welche die modulare Herstellung von stabilen rnC-Glycosylaminosäuren als Mimetika der natürlichen Serin-, Threonin- und Tyrosin-Glycoside ermöglicht. Dazu wurden passend geschützte Kohlenhydrat-Lactone synthetisiert, die in einer mikrowellengestützten Petasis-Olefinierung unter Durchflussbedingungen in die entsprechenden exo-Glycale überführt wurden. Die Reaktionszeit konnte durch diese spezielle Reaktionsführung auf weniger als drei Minuten verringert werden, während konventionell mehrere Stunden benötigt werden. Die C-glycosidische Verknüpfung mit den entsprechenden Aminosäurebausteinen gelang durch eine Hydroborierungs-Suzuki-Kupplungs-Kaskade. Nach umfangreicher Optimierung der Reaktionsparameter ließ sich neben mehreren Monosacchariden auch ein exo-Glycal der Lactose erfolgreich in der Kupplung einsetzen. Nach verschiedenen Schutzgruppenmanipulationen wurden einige der synthetisierten Bausteine zur Synthese C-glycosylierter Partialstrukturen des Mucins MUC1 an der festen Phase herangezogen. In ELISA-Experimenten wurden die C-Glycosylpeptide von an Brustkrebsgewebe bindenden Antikörpern erkannt, die durch Vakzinierung mit ähnlichen Strukturen erhalten worden waren. Zur Synthese zweier Bausteine potenzieller Selektin-Inhibitoren wurde ein Mimetikum des in natürlichen Liganden vorkommenden Tetrasaccharides Sialyl-Lewisx synthetisiert. Bei diesem wurde die terminale Sialinsäure durch (S)-Cyclohexylmilchsäure ersetzt. Die bei der gewählten Syntheseroute notwendige regioselektive Öffnung eines Benzylidenacetals wurde in einem Mikroreaktor durchgeführt, wodurch eine einfache Reaktionsoptimierung mit geringen Substanzmengen möglich war. Die Reaktionszeit liegt mit unter 4 Minuten deutlich unter den üblichen Werten von einer bis mehreren Stunden. In einer Block-Glycosylierung konnte das Pseudotetrasaccharid sowohl an einen C-Lactosyl-Tyrosin-, als auch an einen C-Lactosyl-Serin-Akzeptor angefügt und somit die Synthese der Zielverbindungen abgeschlossen werden. Diese Bausteine können in Zukunft als Bestandteile synthetischer Glycopeptide zum Einsatz kommen, welche Mimetika der natürlichen Selektin-Liganden darstellen sollen.rn