Plasmons as sensors

“Plasmon” is a synonym for collective oscillations of the conduction electrons in a metal nanoparticle (excited by an incoming light wave), which cause strong optical responses like efficient light scattering. The scattering cross-section with respect to the light wavelength depends not only on material, size and shape of the nanoparticle, but also on the refractive index of the embedding medium. For this reason, plasmonic nanoparticles are interesting candidates for sensing applications. Here, two novel setups for rapid spectral investigations of single nanoparticles and different sensing experiments are presented.rnrnPrecisely, the novel setups are based on an optical microscope operated in darkfield modus. For the fast single particle spectroscopy (fastSPS) setup, the entrance pinhole of a coupled spectrometer is replaced by a liquid crystal device (LCD) acting as spatially addressable electronic shutter. This improvement allows the automatic and continuous investigation of several particles in parallel for the first time. The second novel setup (RotPOL) usesrna rotating wedge-shaped polarizer and encodes the full polarization information of each particle within one image, which reveals the symmetry of the particles and their plasmon modes. Both setups are used to observe nanoparticle growth in situ on a single-particle level to extract quantitative data on nanoparticle growth.rnrnUsing the fastSPS setup, I investigate the membrane coating of gold nanorods in aqueous solution and show unequivocally the subsequent detection of protein binding to the membrane. This binding process leads to a spectral shift of the particles resonance due to the higher refractive index of the protein compared to water. Hence, the nanosized addressable sensor platform allows for local analysis of protein interactions with biological membranes as a function of the lateral composition of phase separated membranes.rnrnThe sensitivity on changes in the environmental refractive index depends on the particles’ aspect ratio. On the basis of simulations and experiments, I could present the existence of an optimal aspect ratio range between 3 and 4 for gold nanorods for sensing applications. A further sensitivity increase can only be reached by chemical modifications of the gold nanorods. This can be achieved by synthesizing an additional porous gold cage around the nanorods, resulting in a plasmon sensitivity raise of up to 50 % for those “nanorattles” compared to gold nanorods with the same resonance wavelength. Another possibility isrnto coat the gold nanorods with a thin silver shell. This reduces the single particle’s resonance spectral linewidth about 30 %, which enlarges the resolution of the observable shift. rnrnThis silver coating evokes the interesting effect of reducing the ensemble plasmon linewidth by changing the relation connecting particle shape and plasmon resonance wavelength. This change, I term plasmonic focusing, leads to less variation of resonance wavelengths for the same particle size distribution, which I show experimentally and theoretically.rnrnIn a system of two coupled nanoparticles, the plasmon modes of the transversal and longitudinal axis depend on the refractive index of the environmental solution, but only the latter one is influenced by the interparticle distance. I show that monitoring both modes provides a self-calibrating system, where interparticle distance variations and changes of the environmental refractive index can be determined with high precision.

Structure formation as studied by EPR spectroscopy: From simple solutions to nanoparticles

In this thesis, three nitroxide based ionic systems were used to investigate structure and dynamics of their respective solutions in mixed solvents by means of electron paramagnetic resonance (EPR) and electron nuclear double resonance (ENDOR) spectroscopy at X- and W-band (9.5 and 94.5 GHz, respectively). rnFirst, the solvation of the inorganic radical Fremy’s salt (K2ON(SO3)2) in isotope substituted binary solvent mixtures (methanol/water) was investigated by means of high-field (W-band) pulse ENDOR spectroscopy and molecular dynamics (MD) simulations. From the analysis of orientation-selective 1H and 2H ENDOR spectra the principal components of the hyperfine coupling (hfc) tensor for chemically different protons (alcoholic methyl vs. exchangeable protons) were obtained. The methyl protons of the organic solvent approach with a mean distance of 3.5 Å perpendicular to the approximate plane spanned by ON(S)2 of the probe molecule. Exchangeable protons were found to be distributed isotropically, approaching closest to Fremy’s salt from the hydrogen-bonded network around the sulfonate groups. The distribution of exchangeable and methyl protons as found in MD simulations is in full agreement with the ENDOR results. The solvation was found to be similar for the studied solvent ratios between 1:2.3 and 2.3:1 and dominated by an interplay of H-bond (electrostatic) interactions and steric considerations with the NO group merely involved into H-bonds.rnFurther, the conformation of spin labeled poly(diallyldimethylammonium chloride) (PDADMAC) solutions in aqueous alcohol (methanol, ethanol, n-propanol, ethylene glycol, glycerol) mixtures in dependence of divalent sodium sulfate was investigated with double electron-electron resonance (DEER) spectroscopy. The DEER data was analyzed using the worm-like chain model which suggests that in organic-water solvent mixtures the polymer backbones are preferentially solvated by the organic solvent. We found a less serve impact on conformational changes due to salt than usually predicted in polyelectrolyte theory which stresses the importance of a delicate balance of hydrophobic and electrostatic interactions, in particular in the presence of organic solvents.rnFinally, the structure and dynamics of miniemulsions and polymerdispersions prepared with anionic surfactants, that were partially replaced by a spin labeled fatty acid in presence and absence of a lanthanide beta-diketonate complex was characterized by CW EPR spectroscopy. Such miniemulsions form multilayers with the surfactant head group bound to the lanthanide ion. Beta-diketonates were formerly used as NMR shift reagents and nowadays find application as luminescent materials in OLEDs and LCDs and as contrast agent in MRT. The embedding of the complex into a polymer matrix results in an easy processable material. It was found that the structure formation takes place in miniemulsion and is preserved during polymerization. For surfactants with carboxyl-head group a higher order of the alkyl chains and less lateral diffusion is found than for sulfat-head groups, suggesting a more uniform and stronger coordination to the metal ion. The stability of these bilayers depends on the temperature and the used surfactant which should be considered for the used polymerization temperature if a maximum output of the structured regions is wished.

Costruzioni modulari in linguaggi con tipi dipendenti.

In questa tesi si indaga come è possibile strutturare in modo modulare programmi e prove in linguaggi con tipi dipendenti. Il lavoro è sviluppato nel linguaggio di programmazione con tipi dipendenti Agda. Il fine è quello di tradurre l'approccio Datatypes à la carte, originariamente formulato per Haskell, in Type Theory: puntiamo ad ottenere un simile embedding di una nozione di sottotipaggio per tipi ricorsivi, che permetta sia la definizione di programmi con side-effect dove i diversi effetti sono definiti modularmente, che la modularizzazione di sintassi, semantica e ragionamento relativi a descrizioni di linguaggi.

Surface patterning with colloidal monolayers

This thesis focuses on the controlled assembly of monodisperse polymer colloids into ordered two-dimensional arrangements. These assemblies, commonly referred to as colloidal monolayers, are subsequently used as masks for the generation of arrays of complex metal nanostructures on solid substrates.rnThe motivation of the research presented here is twofold. First, monolayer crystallization methods were developed to simplify the assembly of colloids and to produce more complex arrangements of colloids in a precise way. Second, various approaches to colloidal lithography are designed with the aim to include novel features or functions to arrays of metal nanostructures.rnThe air/water interface was exploited for the crystallization of colloidal monolayer architectures as it combines a two-dimensional confinement with a high lateral mobility of the colloids that is beneficial for the creation of high long range order. A direct assembly of colloids is presented that provides a cheap, fast and conceptually simple methodology for the preparation of ordered colloidal monolayers. The produced two-dimensional crystals can be transformed into non-close-packed architectures by a plasma-induced size reduction step, thus providing valuable masks for more sophisticated lithographic processes. Finally, the controlled co-assembly of binary colloidal crystals with defined stoichiometries on a Langmuir trough is introduced and characterized with respect to accessible configurations and size ratios. rnSeveral approaches to lithography are presented that aim at introducing different features to colloidal lithography. First, using metal-complex containing latex particles, the synthesis of which is described as well, symmetric arrays of metal nanoparticles can be created by controlled combustion of the organic material of the colloids. The process does not feature an inherent limit in nanoparticle size and is able to produce complex materials as will be demonstrated for FePt alloy particles. Precise control over both size and spacing of the particle array is presented. rnSecond, two lithographic processes are introduced to create sophisticated nanoparticle dimer units consisting of two crescent shaped nanostructures in close proximity; essentially by using a single colloid as mask to generate two structures simultaneously. Strong coupling processes of the parental plasmon resonances of the two objects are observed that are accompanied by high near-field enhancements. A plasmon hybridization model is elaborated to explain all polarization dependent shifts of the resonance positions. Last, a technique to produce laterally patterned, ultra-flat substrates without surface topographies by embedding gold nanoparticles in a silicon dioxide matrix is applied to construct robust and re-usable sensing architectures and to introduce an approach for the nanoscale patterning of solid supported lipid bilayer membranes. rn

Biomimetic Scaffolds for the Controlled Release of Bioactive Molecules for Tissue Engineering Applications

The temporospatial controlled delivery of growth factors is crucial to trigger the desired healing mechanisms in target tissues. The uncontrolled release of growth factors has been demonstrated to cause severe side effects in its surrounding tissues. Thus, the first working hypothesis was to tune and optimize a newly developed multiscale delivery platform based on a nanostructured silicon particle core (pSi) and a poly (dl-lactide-co-glycolide) acid (PLGA) outer shell. In a murine subcutaneous model, the platform was demonstrated to be fully tunable for the temporal and spatial control release of the payload. Secondly, a multiscale approach was followed in a multicompartment collagen scaffold, to selectively integrate different sets of PLGA-pSi loaded with different reporter proteins. The spatial confinement of the microspheres allowed the release of the reporter proteins in each of the layers of the scaffold. Finally, the staged and zero-order release kinetics enabled the temporal biochemical patterning of the scaffold. The last step of this PhD project was to test if by fully embedding PLGA microspheres in a highly structured and fibrous collagen-based scaffold (camouflaging), it was possible to prevent their early detection and clearance by macrophages. It was further studied whether such a camouflaging strategy was efficient in reducing the production of key inflammatory molecules, while preserving the release kinetics of the payload of the PLGA microspheres. Results demonstrated that the camouflaging allowed for a 10-fold decrease in the number of PLGA microspheres internalized by macrophages, suggesting that the 3D scaffold operated by cloaking the PLGA microspheres. When the production of key inflammatory cytokines induced by the scaffold was assessed, macrophages' response to the PLGA microspheres-integrated scaffolds resulted in a response similar to that observed in the control (not functionalized scaffold) and the release kinetic of a reporter protein was preserved.

Robust Nonlinear Output Regulation by Identification Tools

The present thesis focuses on the problem of robust output regulation for minimum phase nonlinear systems by means of identification techniques. Given a controlled plant and an exosystem (an autonomous system that generates eventual references or disturbances), the control goal is to design a proper regulator able to process the only measure available, i.e the error/output variable, in order to make it asymptotically vanishing. In this context, such a regulator can be designed following the well known “internal model principle” that states how it is possible to achieve the regulation objective by embedding a replica of the exosystem model in the controller structure. The main problem shows up when the exosystem model is affected by parametric or structural uncertainties, in this case, it is not possible to reproduce the exact behavior of the exogenous system in the regulator and then, it is not possible to achieve the control goal. In this work, the idea is to find a solution to the problem trying to develop a general framework in which coexist both a standard regulator and an estimator able to guarantee (when possible) the best estimate of all uncertainties present in the exosystem in order to give “robustness” to the overall control loop.

Template-assisted patterning of functional polymers

In this thesis, anodic aluminum oxide (AAO) membranes, which provide well-aligned uniform mesoscopic pores with adjustable pore parameters, were fabricated and successfully utilized as templates for the fabrication of functional organic nanowires, nanorods and the respective well-ordered arrays. The template-assisted patterning technique was successfully applied for the realization of different objectives:rnHigh-density and well-ordered arrays of hole-conducting nanorods composed of cross-linked triphenylamine (TPA) and tetraphenylbenzidine (TPD) derivatives on conductive substrates like ITO/glass have been successfully fabricated. By applying a freeze-drying technique to remove the aqueous medium after the wet-chemical etching of the template, aggregation and collapsing of the rods was prevented and macroscopic areas of perfectly freestanding nanorods were feasible. Based on the hole-conducting nanorod arrays and their subsequent embedding into an electron-conducting polymer matrix via spin-coating, a novel routine concept for the fabrication of well-ordered all-organic bulk heterojunction for organic photovoltaic applications was successfully demonstrated. The increased donor/acceptor interface of the fabricated devices resulted in a remarkable increase of the photoluminescence quenching compared to a planar bilayer morphology. Further, the fundamental working principle of the templating approach for the solution-based all-organic photovoltaic device was demonstrated for the first time.rnFurthermore, in order to broaden the applicability of patterned surfaces, which are feasible via the template-based patterning of functional materials, AAO with hierarchically branched pores were fabricated and utilized as templates. By pursuing the common templating process hierarchically polymeric replicas, which show remarkable similarities with interesting biostructures, like the surface of the lotus leaf and the feet of a gecko, were successfully prepared.rnIn contrast to the direct infiltration of organic functional materials, a novel route for the fabrication of functional nanowires via post-modification of reactive nanowires was established. Therefore, reactive nanowires based on cross-linked pentafluorophenylesters were fabricated by utilizing AAO templates. The post-modification with fluorescent dyes was demonstrated. Furthermore, reactive wires were converted into well-dispersed poly(N-isopropylacrylamide) (PNIPAM) hydrogels, which exhibit a thermal-responsive reversible phase transition. The reversible thermal-responsible swelling of the PNIPAM nanowires exhibited a more than 50 % extended length than in the collapsed PNIPAM state. rnLast but not least, the shape-anisotropic pores of AAO were utilized to uniformly align the mesogens of a nematic liquid crystalline elastomer. Liquid crystalline nanowires with a narrow size distribution and uniform orientation of the liquid crystalline material were fabricated. It was shown that during the transition from the nematic to the isotropic phase the rod’s length shortened by roughly 40 percent. As such these liquid crystalline elastomeric nanowires may find application, as wire-shaped nanoactuators in various fields of research, like lab-on-chip systems, micro fluidics and biomimetics.rn

Funktionsaufklärung von Atmungsproteinen in Insekten

Globine sind kleine globuläre Proteine mit nahezu ubiquitärem Vorkommen in allen Tiergruppen. Sie weisen eine typische Sandwichstruktur auf, die in der Regel aus acht α-Helices mit einer zentralen prosthetischen Häm-Gruppe besteht und die Proteine zur Bindung gasförmiger Liganden befähigt. Die Funktionen der Globine reichen von O2-Transport und – Speicherung, über eine Beteiligung bei der Entgiftung reaktiver Sauerstoff- und Stickstoffspezies bis hin zu sensorischen physiologischen Aufgaben. Innerhalb der Klasse der Insekten schien das Vorhandensein von Globinen zunächst auf Insekten mit offensichtlich hypoxischen Habitaten beschränkt zu sein. Die Entdeckung des Globins glob1 in Drosophila melanogaster deutete jedoch eine sehr viel weitere Verbreitung der Globine in Insekten an, die sich durch die Identifizierung von Globingenen in einer Vielzahl von normoxisch lebenden Insekten, wie z.B. Apis mellifera oder Aedes aegypti bestätigte. D. melanogaster besitzt drei Globine, glob1, glob2 und glob3. Glob1 ist eng mit anderen intrazellulären Insektenglobinen verwandt, was zu der Annahme führte, dass es sich bei glob1 um das ursprüngliche und bei glob2 und glob3 um abgeleitete D. melanogaster Globine handelt. Glob1 wird in allen Entwicklungsstadien exprimiert, wobei die Hauptexpressionsorte der Fettkörper und das Tracheensystem sind. Die Transkription des glob1 startet von zwei alternativen Promotoren (Promotor I und II), wodurch in Kombination mit alternativem Splicing vier Transkriptvarianten (Isoform A-D) entstehen, deren Translation jedoch in einer Proteinvariante (glob1) resultiert. Hypoxische Bedingungen führen zu einer vermutlich HIF (=‚hypoxia-inducible factor‘) -vermittelten Abnahme der glob1 Genexpression, wohingegen Hyperoxie eine leichte Zunahme der glob1 mRNA Menge bewirkt. Der mithilfe des UAS/Gal4- Systems erzeugte, RNAi-vermittelte glob1 Knockdown führt zu einer schlechteren Überlebensrate adulter Fliegen unter hypoxischen Bedingungen, einer verkürzten Erholungszeit nach hypoxischem Stupor in Weibchen sowie zu einer erhöhten Resistenz gegenüber dem ROS (=‘reactive oxygen species‘) -generierenden Herbizid Paraquat in Larven und adulten Weibchen. Diese Beobachtungen sprechen für eine Funktion des Drosophila glob1 innerhalb der O2-Versorgung. Unter hyperoxischen Bedingungen hingegen wurde kein Unterschied zwischen Fliegen mit wildtypischer und manipulierter glob1-Expression festgestellt, wodurch eine Beteiligung des glob1 bei der Entgiftung reaktiver Sauerstoffspezies als mögliche Funktion vorerst ausscheidet. Bei glob2 und glob3 handelt es sich um duplizierte Gene. Auf phylogenetischen Rekonstruktionen basierend konnte die Entstehung der Globin-Duplikate auf ein Duplikationsereignis vor der Radiation des Subgenus Sophophora vor mindestens 40 Millionen Jahren zurückgeführt werden. Die durchgeführten Analysen zur molekularen Sequenzevolution der Globin-Duplikate deuten darauf hin, dass glob2 und glob3 nach der Duplikation eine Kombination aus Sub- und Neo-Funktionalisierungsprozessen durchlaufen haben. Glob2 und glob3 zeigen eine deckungsgleiche mRNA Expression, die auf die männliche Keimbahn beschränkt ist. Aufgrund des hohen Konservierungsgrads der für die Häm- und O2-Bindung essentiellen Aminosäuren kann von der Funktionalität beider Proteine ausgegangen werden. Die streng auf die männliche Keimbahn begrenzte Expression von glob2 und glob3 deutet auf eine Rolle der Globin-Duplikate innerhalb der Spermatogenese hin, die möglicherweise in einem Schutz der Spermatogenese vor oxidativem Stress besteht. Auch eine Beteiligung beim korrekten Ablauf der Spermien-Individualisierung, beispielsweise durch Regulation von Apoptoseprozessen wäre denkbar.

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.

Intraflagellar transport in the developing and mature vertebrate retina

Intraflagellar transport (IFT) is required for the assembly and maintenance of cilia. In this study we analyzed the subcellular localization of IFT proteins in retinal cells by correlative high-resolution immunofluorescence and immunoelectron microscopy. The rod photoreceptor cell was used as a model system to analyze protein distribution in cilia. To date the expression of IFT proteins has been described in the ciliary region without deciphering the precise spatial and temporal subcellular localization of IFT proteins, which was the focus of my work. rnThe establishment of the pre-embedding immunoelectron method was an important first step for the present doctoral thesis. Results of this work reveal the differential localization of IFT20, IFT52, IFT57, IFT88, IFT140 in sub-ciliary compartments and also their presence in non-ciliary compartments of retinal photoreceptor cells. Furthermore, the localization of IFT20, IFT52 and IFT57 in dendritic processes of non-ciliated neurons indicates that IFT protein complexes also operate in non-ciliated cells and may participate in intracellular vesicle trafficking in eukaryotic cells in general.rnIn addition, we have investigated the involvement of IFT proteins in the ciliogenesis of vertebrate photoreceptor cilia. Electron microscopy analyses revealed six morphologically distinct stages. The first stages are characterized by electron dense centriolar satellites and a ciliary vesicle, while the formation of a ciliary shaft and of the light sensitive outer segment disks are features of the later stages. IFT proteins were expressed during all stages of photoreceptor cell development and found to be associated with the ciliary apparatus. In addition to the centriole and basal body IFT proteins are present in the photoreceptor cytoplasm, associated with centriolar satellites, post-Golgi vesicles and with the ciliary vesicle. Therewith the data provide an evidence for the involvement of IFT proteins during ciliogenesis, including the formation of the ciliary vesicle and the elongation of the primary cilium of photoreceptor cells. Moreover, the cytoplasmic localization of IFT proteins in the absence of a ciliary shaft in early stages of ciliogenesis indicates roles of IFT proteins beyond their well-established function for IFT in mature cilia and flagella. rn

Un teorema di immersione di Whitney

Nella tesi vengono introdotte le varietà differenziabili per poter trattare un problema di immergibilità di varietà differenziabili. Viene data una dimostrazione di un teorema di Whitney nel caso di varietà differenziabili compatte. Il teorema stabilisce che per una varietà compatta di dimensione n esiste un embedding nello spazio euclideo di dimensione 2n+1. Whitney stesso ha migliorato questo risultato, dimostrando che una varietà differenziabile può essere immersa tramite un embedding nello spazio euclideo di dimensione 2n. Nella tesi vengono dati alcuni esempi di questo miglioramento del teorema.

Blood-CNS barriers in neurodegenerative diseases

The blood-brain barrier (BBB) and the blood-spinal cord barrier (BSCB) separate the brain and the spinal cord from the circulating blood and are important for the maintenance of the CNS homeostasis. They build a physical barrier thereby protecting the CNS from pathogens and toxic agents, and their disruption plays a crucial role in the pathogenesis of several CNS disorders. In this thesis, the blood-CNS-barriers were studied via in vitro models in two case studies for neurodegenerative disorders, in particular Alzheimer’s disease (AD) and amyotrophic lateral sclerosis (ALS). The first model evaluates treatment possibilities of AD using nanotechnology-based strategies. Since the toxic amyloid-β42 (Aβ42) peptide plays a crucial role in the pathogenesis of AD, reduced generation or enhanced clearance of Aβ42 peptides are expected to modify the disease course in AD. Therefore, several Aβ42-lowering drugs like flurbiprofen had been tested in clinical trials, but most of them failed due to their low brain penetration. Here, flurbiprofen was embedded in polylactide (PLA) nanoparticles and its transport was examined in an in vitro BBB model. The embedding of flurbiprofen into the nanoparticles disguised its cytotoxic potential and enabled the administration of higher drug concentrations which resulted in a sufficient transport of the drug across an endothelial cell monolayer. These results demonstrate that non-permeable drugs can be transported efficiently via nanoparticles and that these nanotechnology-based strategies are a promising tool to generate novel therapeutic options for AD and other CNS diseases. rnThe focus of the second project was to investigate the impaired integrity of the BSCB in a mouse model for ALS. About 20% of all familial ALS cases are associated with missense mutations or small deletions in the gene that encodes Cu/Zn-superoxide dismutase 1 (SOD1). To date, the molecular mechanisms resulting in ALS are still unknown, but there is evidence that the disruption of the BSCB is one of the primary pathological events. In both familial and sporadic ALS patients, loss of endothelial integrity and endothelial cell damage was observed, and studies with SOD1 transgenic mice demonstrated that the BSCB disruption was found prior to motor neuron degeneration and neurovascular inflammation. Thus, an in vitro model for ALS endothelial cells was generated which exhibited comparable integrity characteristics and tight junction (TJ) protein expression profiles as isolated primary endothelial cells of the BSCB of SOD1 transgenic mice. In this, an alteration of the βcat/AKT/FoxO1 pathway, which regulates the expression of the TJ protein claudin-5, could be observed. These data furthermore indicate that ALS is a neurovascular disease, and understanding of the primary events in ALS pathogenesis will hopefully provide ideas for the development of new therapeutic strategies. rn

Three-dimensional electron microscopy of myriapod hemocyanin, planorbid snail acetylcholine-binding protein and cyanobacterial Vipp1

Three-dimensional electron microscopy (3-D EM) provides a framework for the analysis of large protein quaternary structures. The advantage over the generally higher resolving meth- od of X-ray crystallography is the embedding of the proteins in their physiological environ- ment. However, results of the two methods can be combined to obtain superior structural information. In this work, three different protein types – (i) Myriapod hemocyanin, (ii) vesi- cle-inducing protein in plastids 1 (Vipp1) and (iii) acetylcholine-binding protein (AChBP) – were structurally analyzed by 2-D and 3-D EM and, where possible, functionally interpreted.rnMyriapod hemocyanins have been previously shown to be 6x6-meric assemblies that, in case of Scutigera coleoptrata hemocyanin (ScoHc), show two 3x6-mer planes whith a stag- gering angle of approximately 60°. Here, previously observed structural differences between oxy- and deoxy-ScoHc could be substantiated. A 4° rotation between hexamers of two dif- ferent 3x6-mer planes was measured, which originates at the most central inter-hexamer in- terface. Further information about allosteric behaviour in myriapod hemocyanin was gained by analyzing Polydesmus angustus hemocyanin (PanHc), which shows a stable 3x6-mer and divergent histidine patterns in the inter-hexamer interfaces when compared to ScoHc. Both findings would conclusively explain the very different oxygen binding properties of chilopod and diplopod hemocyanin.rnVipp1 is a protein found in cyanobacteria and higher plants which is essential for thyla- koid membrane function and forms highly variable ring-shaped structures. In the course of this study, the first 3-D analysis of Vipp1 was conducted and yielded reconstructions of six differently sized Vipp1 rings from negatively stained images at resolutions between 20 to 30 Å. Furthermore, mutational analyses identified specific N-terminal amino acids that are essential for ring formation. On the basis of these analyses and previously published results, a hypothetical model of the Vipp1 tertiary and quaternary structure was generated.rnAChBP is a water-soluble protein in the hemolymph of mollusks. It is a structural and functional homologue of the ligand-binding domain of nicotinic acetylcholine receptors. For the freshwater snail Biomphalaria glabrata, we previously described two types of AChBP (BgAChBP1 and BgAChBP2). In this work, a 6 Å 3-D reconstruction of native BgAChBP is presented, which shows a dodecahedral assembly that is unprecedented for an AChBP. Single particle analysis of recombinantely expressed BgAChBP types led to preliminary results show- ing a dodecahedral assembly of BgAChBP1 and a dipentameric assembly of BgAChBP2. This indicates divergent biological functions of the two types.

Metriche riemanniane e immersioni isometriche

Attraverso alcuni esempi la tesi mostra che una stessa varietà differenziabile può essere munita di strutture riemanniane diverse e, a seconda della metrica, può variare la dimensione del più piccolo spazio euclideo in cui la varietà può essere immersa.

Supergeometry: a categorical point of view

In questa tesi viene studiato l'approccio funtoriale alla supergeometria. In particolare si usano le topologie di Grothendieck per studiare il concetto di rappresentabilità in questo contesto, in analogia a quanto fatto in geometria algebrica classica. Vengono poi introdotti i funtori di Weil-Berezin e lo Schwarz embedding, motivando i legami tra questi concetti e la rappresentabilità nel caso classico.