Structural characterisation of tBLMs

Biological membranes are one of the vital key elements of life but are also highly complex architectures. Therefore, various model membrane systems have been developed to enable systematic investigations of different membrane related processes. A biomimetic model architecture should provide a simplified system, which allows for systematic investigation of the membrane while maintaining the essential membrane characteristics such as membrane fluidity or electrical sealing properties. This work has been focused on two complementary parts. In a first part, the behaviour of the whey protein ß-lactoglobulin (ßlg) at a membrane interface has been investigated. Protein-lipid interactions have been studied using Langmuir monolayers at the air-water interface and tethered bilayer lipid membranes. A combination of different surface analytical techniques such as surface plasmon spectroscopy, neutron reflectivity and electrochemical techniques allowed for a detailed analysis of the underlying processes. Those experiments showed that the protein adsorbed in native confirmation, slightly flattened, to hydrophobic monolayers. If hydrophilic bilayers with defects were present, ßlg penetrated the upper layer. Interactions with phospholipids were only observed if the protein was denatured beforehand. Experiments at the air-water interface showed a more rigid conformation of the protein at acidic pH compared to alkaline pH. In the second part of this work, the structure of different model membrane systems has been investigated. Solid supported membrane systems have been established as powerful biomimetic architectures, which allow for the systematic investigation of various membrane related processes. Additionally, these systems have been proposed for biosensing applications. Tethered bilayer lipid membranes (tBLMS) are one type of solid supported membranes. The structure of the anchor lipid that tethers the membrane to the solid support has a significant impact on the membrane properties. Especially the sub-membrane part, which is defined by the spacer group, is important for the biological activity of incorporated membrane proteins. Various anchor lipids have been synthesised with different spacer and anchor groups. An increase of the spacer length led to a direct increase of the water reservoir beneath the membrane. However, this elongation also resulted in an amplified roughness of the monolayer and subsequently to diminished mechanical and electrical bilayer qualities. Additionally, a cholesterol-spacer had been designed to modulate the membrane fluidity. Model membrane systems with additional cholesterol-spacer or upper bilayer leaflets with additional cholesterol also exhibited an increased water reservoir with only slightly diminished mechanical and electrical abilities. Both parts show that tBLMs are very effective model systems that can be applied as biomimetic platforms to study for example lipid-protein interactions. They also enable the incorporation of ion channels and allow for potential biosensing application.

Generalized Differential Quadrature Finite Element Method applied to Advanced Structural Mechanics

Over the years the Differential Quadrature (DQ) method has distinguished because of its high accuracy, straightforward implementation and general ap- plication to a variety of problems. There has been an increase in this topic by several researchers who experienced significant development in the last years. DQ is essentially a generalization of the popular Gaussian Quadrature (GQ) used for numerical integration functions. GQ approximates a finite in- tegral as a weighted sum of integrand values at selected points in a problem domain whereas DQ approximate the derivatives of a smooth function at a point as a weighted sum of function values at selected nodes. A direct appli- cation of this elegant methodology is to solve ordinary and partial differential equations. Furthermore in recent years the DQ formulation has been gener- alized in the weighting coefficients computations to let the approach to be more flexible and accurate. As a result it has been indicated as Generalized Differential Quadrature (GDQ) method. However the applicability of GDQ in its original form is still limited. It has been proven to fail for problems with strong material discontinuities as well as problems involving singularities and irregularities. On the other hand the very well-known Finite Element (FE) method could overcome these issues because it subdivides the computational domain into a certain number of elements in which the solution is calculated. Recently, some researchers have been studying a numerical technique which could use the advantages of the GDQ method and the advantages of FE method. This methodology has got different names among each research group, it will be indicated here as Generalized Differential Quadrature Finite Element Method (GDQFEM).

A novel functional renormalization group framework for gauge theories and gravity

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.

Structural and functional characterization of Group B Streptococcus pilus 2b

Group B Streptococcus (GBS) is a Gram-positive human pathogen representing one of the most common causes of life-threatening bacterial infections such as sepsis and meningitis in neonates. Covalently polymerized pilus-like structures have been discovered in GBS as important virulence factors as well as vaccine candidates. Pili are protein polymers forming long and thin filamentous structures protruding from bacterial cells, mediating adhesion and colonization to host cells. Gram-positive bacteria, including GBS, build pili on their cell surface via a class C sortase-catalyzed transpeptidation mechanism from pilin protein substrates that are the backbone protein forming the pilus shaft and two ancillary proteins. Also the cell-wall anchoring of the pilus polymers made of covalently linked pilin subunits is mediated by a sortase enzyme. GBS expresses three structurally distinct pilus types (type 1, 2a and 2b). Although the mechanisms of assembly and cell wall anchoring of GBS types 1 and 2a pili have been investigated, those of pilus 2b are not understood until now. Pilus 2b is frequently found in ST-17 strains that are mostly associated with meningitis and high mortality rate especially in infants. In this work the assembly mechanism of GBS pilus type 2b has been elucidated by dissecting through genetic, biochemical and structural studies the role of the two pilus-associated sortases. The most significant findings show that pilus 2b assembly appears “non-canonical”, differing significantly from current pilus assembly models in Gram-positive pathogens. Only sortase-C1 is involved in pilin polymerization, while the sortase-C2 does not act as a pilin polymerase, but it is involved in cell-wall pilus anchoring. Our findings provide new insights into pili biogenesis in Gram-positive bacteria. Moreover, the role of this pilus type during host infection has been investigated. By using a mouse model of meningitis we demonstrated that type 2b pilus contributes to pathogenesis of meningitis in vivo.

Tensorial group field theories

In questa tesi il Gruppo di Rinormalizzazione non-perturbativo (FRG) viene applicato ad una particolare classe di modelli rilevanti in Gravit`a quantistica, conosciuti come Tensorial Group Field Theories (TGFT). Le TGFT sono teorie di campo quantistiche definite sulla variet`a di un gruppo G. In ogni dimensione esse possono essere espanse in grafici di Feynman duali a com- plessi simpliciali casuali e sono caratterizzate da interazioni che implementano una non-localit`a combinatoriale. Le TGFT aspirano a generare uno spaziotempo in un contesto background independent e precisamente ad ottenere una descrizione con- tinua della sua geometria attraverso meccanismi fisici come le transizioni di fase. Tra i metodi che meglio affrontano il problema di estrarre le transizioni di fase e un associato limite del continuo, uno dei pi` u efficaci `e il Gruppo di Rinormalizzazione non-perturbativo. In questo elaborato ci concentriamo su TGFT definite sulla variet`a di un gruppo non-compatto (G = R) e studiamo il loro flusso di Rinormalizzazione. Identifichiamo con successo punti fissi del flusso di tipo IR, e una superficie critica che suggerisce la presenza di transizioni di fase in regime Infrarosso. Ci`o spinge ad uno stu- dio per approfondire la comprensione di queste transizioni di fase e della fisica continua che vi `e associata. Affrontiamo inoltre il problema delle divergenze Infrarosse, tramite un processo di regolarizzazione che definisce il limite termodinamico appropriato per le TGFT. Infine, applichiamo i metodi precedentementi sviluppati ad un modello dotato di proiezione sull’insieme dei campi gauge invarianti. L’analisi, simile a quella applicata al modello precedente, conduce nuovamente all’identificazione di punti fissi (sia IR che UV) e di una superficie critica. La presenza di transizioni di fasi `e, dunque, evidente ancora una volta ed `e possibile confrontare il risultato col modello senza proiezione sulla dinamica gauge invariante.

Intensified chemotherapy and dose-reduced involved-field radiotherapy in patients with early unfavorable Hodgkin's lymphoma: final analysis of the German Hodgkin Study Group HD11 trial

Combined-modality treatment consisting of four to six cycles of chemotherapy followed by involved-field radiotherapy (IFRT) is the standard of care for patients with early unfavorable Hodgkin's lymphoma (HL). It is unclear whether treatment results can be improved with more intensive chemotherapy and which radiation dose needs to be applied.

Dissecting Carotenoid from Structural Components of Carotenoid-Based Coloration: A Field Experiment with Great Tits (Parus major)

Carotenoid-based yellowish to red plumage colors are widespread visual signals used in sexual and social communication. To understand their ultimate signaling functions, it is important to identify the proximate mechanism promoting variation in coloration. Carotenoid-based colors combine structural and pigmentary components, but the importance of the contribution of structural components to variation in pigment-based colors (i.e., carotenoid-based colors) has been undervalued. In a field experiment with great tits (Parus major), we combined a brood size manipulation with a simultaneous carotenoid supplementation in order to disentangle the effects of carotenoid availability and early growth condition on different components of the yellow breast feathers. By defining independent measures of feather carotenoid content (absolute carotenoid chroma) and background structure (background reflectance), we demonstrate that environmental factors experienced during the nestling period, namely, early growth conditions and carotenoid availability, contribute independently to variation in yellow plumage coloration. While early growth conditions affected the background reflectance of the plumage, the availability of carotenoids affected the absolute carotenoid chroma, the peak of maximum ultraviolet reflectance, and the overall shape, that is, chromatic information of the reflectance curves. These findings demonstrate that environment-induced variation in background structure contributes significantly to intraspecific variation in yellow carotenoid-based plumage coloration.