Rigorous results in Spin Glasses and Monomer-Dimer systems

In this work I reported recent results in the field of Statistical Mechanics of Equilibrium, and in particular in Spin Glass models and Monomer Dimer models . We start giving the mathematical background and the general formalism for Spin (Disordered) Models with some of their applications to physical and mathematical problems. Next we move on general aspects of the theory of spin glasses, in particular to the Sherrington-Kirkpatrick model which is of fundamental interest for the work. In Chapter 3, we introduce the Multi-species Sherrington-Kirkpatrick model (MSK), we prove the existence of the thermodynamical limit and the Guerra's Bound for the quenched pressure together with a detailed analysis of the annealed and the replica symmetric regime. The result is a multidimensional generalization of the Parisi's theory. Finally we brie y illustrate the strategy of the Panchenko's proof of the lower bound. In Chapter 4 we discuss the Aizenmann-Contucci and the Ghirlanda-Guerra identities for a wide class of Spin Glass models. As an example of application, we discuss the role of these identities in the proof of the lower bound. In Chapter 5 we introduce the basic mathematical formalism of Monomer Dimer models. We introduce a Gaussian representation of the partition function that will be fundamental in the rest of the work. In Chapter 6, we introduce an interacting Monomer-Dimer model. Its exact solution is derived and a detailed study of its analytical properties and related physical quantities is performed. In Chapter 7, we introduce a quenched randomness in the Monomer Dimer model and show that, under suitable conditions the pressure is a self averaging quantity. The main result is that, if we consider randomness only in the monomer activity, the model is exactly solvable.

Saccharide based nanocapsules - From monomer building blocks to improved capsules properties

In dieser Arbeit wurde der vielfältige Nutzen von Kohlenhydraten in Nanokapsel Systemen untersucht. Drei verschiedene Nanokapsel-Typen wurden durch Reaktion an der Grenzfläche von inversen Miniemulsionen hergestellt. Es wurde gezeigt, dass die Kohlenhydrate nach Modifizierung als Monomer an der Kapselbildung teilnehmen können, oder zur Erhöhung der Sensitivität eines verkapselten Kontrastmittels beitragen können. Im Folgenden werden die Ergebnisse der einzelnen Projekte zusammengefasst. Eine neuartige Grenzflächen-Synthese zur Herstellung von Nanokapseln wurde entwickelt und untersucht. Bei der Reaktion handelt es sich um eine Ruthenium katalysierte Olefin-Kreuzmetathese, welche für die Reaktion an der Grenzfläche angepasst wurde. Als wasserlösliches Macromonomer wurde Dextranacrylat synthetisiert. Der Reaktionspartner war ein öl-löslichen Phosphoester (Phenyldi(undec-10-en-1-yl)phosphat). Anhand von NMR-Spektren wurde gezeigt, dass die Kapselbildung auf Olefin Kreuzmetathese beruht. Im Vergleich zu konventionellen Estern haben Phosphorester eine weitere Möglichkeit zur chemischen Funktionalisierung. Dies wurde exemplarisch durch die Verwendung von fluoreszenzmarkierten Phosphoestern gezeigt. Die Markierung wurde verwendet, um die pH-induzierte Abbaubarkeit der Nanokapseln mittels Fluoreszenz-Korrelations-Spektroskopie zu beobachten. Ziel des zweiten Projekts war es, Nanostrukturen zu entwickeln, um Infektionen mit Antibiotika-resistenten Bakterien lokal zu behandeln. Dazu wurden mit Dextranmethacrylat vernetzte Poly(acrylamid) basierte Nanogele synthetisiert und Zinknitrat zugesetzt. Die Synthese der Nanogele wurde erweitert, um durch Vernetzung freier Alkoholgruppen mit Toluoldiisocyanat eine Kapselschale zu erhalten. Die Schalenbildung spiegelte sich in einer geringeren Quellbarkeit der Gel- Schale-Hybride wieder. Die erhaltenen Gel-Schale-Hybride waren in der Lage das Wachstum von zwei Methicillin-resistenten Bakterienstämmen (S. aureus) zu unterdrücken und verzögern. Die synthetisierten Hybridstrukturen könnten in der Beschichtung von Wundauflagen Verwendung finden, um bakterielle Infektionen lokal und direkt nach Ausbruch zu behandeln. Ziel des dritten Projektes war es, die wichtigen Parameter in der Herstellung von Nanokapseln mit hoher Kontrastmittel Sensitivität zu identifizieren. Relaxivität/Signalsensitivität des Kontrastmittels ist von großer Bedeutung für die Bildgebung mittels MRI, dies kann durch die Begrenzung der Mobilität des Kontrastmittels erreicht werden. Aufgrund seiner hohen Komplexstabilität und seiner klinischen Bedeutung wurde das Kontrastmittel Gadobutrol für die Verkapselung verwendet. Das Kontrastmittel wurde in Polyharnstoff-Kapseln eingeschlossen, die durch einen inversen Miniemulsion-Prozess hergestellt wurden. Um die Viskosität im Inneren der Nanokapsel zu erhöhen, wurden zusätzlich Saccharose, Dextran und Polyacrylsäure verkapselt. In Gegenwart von Saccharose konnte die Relaxivität verdoppelt werden. Dies gründet sich vermutlich auf einem Second-sphere Effekt der Saccharose, einer auf Wasserstoffbrückenbindungen beruhende Interaktion von Kontrastmittel und Saccharose.

Synthesis and characterization of polymeric ionic liquid through free radical polymerization of acryloyl imidazolium-based ionic liquid monomer

This thesis investigates the synthesis of polymeric ionic liquid [(poly-acryloyloxy)6C6C1im][NTf2], by free radical polymerization of acryloyl imidazolium-base ionic liquid monomer [(acryloyloxy)6C6C1im][NTf2]. Moreover, the smartest synthetic route to obtain this monomer was investigated. Two different synthesis were compared. The first one started from the preparation of the monomer 6-chlorohexyl acrylate followed by substitution and metathesis to reach ionic liquid monomer. The second one started from synthesis of the ionic liquid [(HO)6C6C1im]Cl followed by metathesis and esterification in order to get ionic liquid monomer [(acryloyloxy)6C6C1im][NTf2].

Tetraamine-derived bifunctional chelators for technetium-99m labelling: synthesis, bioconjugation and evaluation as targeted SPECT imaging probes for GRP-receptor-positive tumours

Owing to its optimal nuclear properties, ready availability, low cost and favourable dosimetry, (99m)Tc continues to be the ideal radioisotope for medical-imaging applications. Bifunctional chelators based on a tetraamine framework exhibit facile complexation with Tc(V)O(2) to form monocationic species with high in vivo stability and significant hydrophilicity, which leads to favourable pharmacokinetics. The synthesis of a series of 1,4,8,11-tetraazaundecane derivatives (01-06) containing different functional groups at the 6-position for the conjugation of biomolecules and subsequent labelling with (99m)Tc is described herein. The chelator 01 was used as a starting material for the facile synthesis of chelators functionalised with OH (02), N(3) (04) and O-succinyl ester (05) groups. A straightforward and easy synthesis of carboxyl-functionalised tetraamine-based chelator 06 was achieved by using inexpensive and commercially available starting materials. Conjugation of 06 to a potent bombesin-antagonist peptide and subsequent labelling with (99m)Tc afforded the radiotracer (99m)Tc-N4-BB-ANT, with radiolabelling yields of >97% at a specific activity of 37 GBq micromol(-1). An IC(50) value of (3.7+/-1.3) nM was obtained, which confirmed the high affinity of the conjugate to the gastrin-releasing-peptide receptor (GRPr). Immunofluorescence and calcium mobilisation assays confirmed the strong antagonist properties of the conjugate. In vivo pharmacokinetic studies of (99m)Tc-N4-BB-ANT showed high and specific uptake in PC3 xenografts and in other GRPr-positive organs. The tumour uptake was (22.5+/-2.6)% injected activity per gram (% IA g(-1)) at 1 h post injection (p.i.). and increased to (29.9+/-4.0)% IA g(-1) at 4 h p.i. The SPECT/computed tomography (CT) images showed high tumour uptake, clear background and negligible radioactivity in the abdomen. The promising preclinical results of (99m)Tc-N4-BB-ANT warrant its potential candidature for clinical translation.

Ultrastructural changes in diaphragm neuromuscular junctions in a severe mouse model for Spinal Muscular Atrophy and their prevention by bifunctional U7 snRNA correcting SMN2 splicing

In Spinal Muscular Atrophy (SMA), the SMN1 gene is deleted or inactivated. Because of a splicing problem, the second copy gene, SMN2, generates insufficient amounts of functional SMN protein, leading to the death of spinal cord motoneurons. For a "severe" mouse SMA model (Smn -/-, hSMN2 +/+; with affected pups dying at 5-7 days), which most closely mimicks the genetic set-up in human SMA patients, we characterise SMA-related ultrastructural changes in neuromuscular junctions (NMJs) of two striated muscles with discrete functions. In the diaphragm, but not the soleus muscle of 4-days old SMA mice, mitochondria on both sides of the NMJs degenerate, and perisynaptic Schwann cells as well as endoneurial fibroblasts show striking changes in morphology. Importantly, NMJs of SMA mice in which a modified U7 snRNA corrects SMN2 splicing and delays or prevents SMA symptoms are normal. This ultrastructural study reveals novel features of NMJ alterations - in particular the involvement of perisynaptic Schwann cells - that may be relevant for human SMA pathogenesis.

Synthesis of 1,1'-(Hexane-1,6-Diyl)Bis(5-Oxopyrrolidine-3-Carboxylic Acid) as a Monomer for a Polyanhydride Drug Delivery System

Polyanhydrides have been given much attention in the literature recently because of their desirable properties as controlled drug delivery solutions. Drug therapies could be loaded into a polyanhydride matrix and protected from denaturation and removal from the body while being slowly eluted as the polyanhydride degraded yielding a tailorable concentration profile in the bloodstream at therapeutic levels. To that end, this report discusses the synthesis of a novel monomer for polyanhydride synthesis: 1,1'-(hexane-1,6-diyl)bis(5-oxopyrrolidine-3-carboxylic acid) henceforth known as CPyH monomer for (carboxypyrrolidone)hexane monomer.

Polymerization of Styrene and Cyclization to Macrocyclic Polystyrene in a One-Pot, Two-Step Sequence

Dibrominated polystyrene (BrPStBr) was produced by atom transfer radical polymerization (ATRP) at 80 degrees C, using the bifunctional initiator benzal bromide to afford the telechelic precursor. The ATRP reaction was stopped around 40% monomer conversion and directly converted into an radical trap-assisted atom transfer radical coupling (RTA-ATRC) reaction by lowering the temperature to 50 degrees C, and adding the radical trap 2-methyl-2-nitrosopropane (MNP) along with additional catalyst, reducing agent, and ligand to match ATRC-type reaction conditions. In an attempt to induce intramolecular coupling, rather than solely intermolecular coupling and elongation, the total reaction volume was increased by the addition of varying amounts of THF. Cyclization, along with intermolecular coupling and elongation, occurred in all cases, with the extent of ring closure a function of the total reaction volume. The cyclic portion of the coupled product was found to have a (G) value around 0.8 by GPC analysis, consistent with the reduction in hydrodynamic volume of a cyclic polymer compared to its linear analog. Analysis of the sequence by H-1 NMR confirmed that propagation was suppressed nearly completely during the RTA-ATRC phase, with percent monomer conversion remaining constant after the ATRP phase. (C) 2013 Elsevier Ltd. All rights reserved.

Kinetics of the interaction of desAABB-fibrin monomer with immobilized fibrinogen

The soluble and stable fibrin monomer-fibrinogen complex (SF) is well known to be present in the circulating blood of healthy individuals and of patients with thrombotic diseases. However, its physiological role is not yet fully understood. To deepen our knowledge about this complex, a method for the quantitative analysis of interaction between soluble fibrin monomers and surface-immobilized fibrinogen has been established by means of resonant mirror (IAsys) and surface plasmon resonance (BIAcore) biosensors. The protocols have been optimized and validated by choosing appropriate immobilization procedures with regeneration steps and suitable fibrin concentrations. The highly specific binding of fibrin monomers to immobilized fibrin(ogen), or vice versa, was characterized by an affinity constant of approximately 10(-8)M, which accords better with the direct dissociation of fibrin triads (KD approximately 10(-8) -10(-9) M) (J. R. Shainoff and B. N. Dardik, Annals of the New York Academy of Science, 1983, Vol. 27, pp. 254-268) than with earlier estimations of the KD for the fibrin-fibrinogen complex (KD approximately 10(-6) M) (J. L. Usero, C. Izquierdo, F. J. Burguillo, M. G. Roig, A. del Arco, and M. A. Herraez, International Journal of Biochemistry, 1981, Vol. 13, pp. 1191-1196).

Aeromonas exoenzyme T of Aeromonas salmonicida is a bifunctional protein that targets the host cytoskeleton

Type III protein secretion has been shown recently to be important in the virulence of the fish pathogen Aeromonas salmonicida. The ADP-ribosylating toxin Aeromonas exoenzyme T (AexT) is one effector protein targeted for secretion via this system. In this study, we identified muscular and nonmuscular actin as substrates of the ADP-ribosylating activity of AexT. Furthermore, we show that AexT also functions as a GTPase-activating protein (GAP), displaying GAP activity against monomeric GTPases of the Rho family, specifically Rho, Rac, and Cdc42. Transfection of fish cells with wild type AexT resulted in depolymerization of the actin cytoskeleton and cell rounding. Point mutations within either the GAP or the ADP-ribosylating active sites of AexT (Arg-143 as well as Glu-398 and Glu-401, respectively) abolished enzymatic activity, yet did not prevent actin filament depolymerization. However, inactivation of the two catalytic sites simultaneously did. These results suggest that both the GAP and ADP-ribosylating domains of AexT contribute to its biological activity. This is the first bacterial virulence factor to be described that has a specific actin ADP-ribosylation activity and GAP activity toward Rho, Rac, and Cdc42, both enzymatic activities contributing to actin filament depolymerization.

DYNAMICS AND CONTROL OF REACTIVE DISTILLATION PROCESS FOR MONOMER SYNTHESIS OF POLYCARBONATE PLANTS

Polycarbonate (PC) is an important engineering thermoplastic that is currently produced in large industrial scale using bisphenol A and monomers such as phosgene. Since phosgene is highly toxic, a non-phosgene approach using diphenyl carbonate (DPC) as an alternative monomer, as developed by Asahi Corporation of Japan, is a significantly more environmentally friendly alternative. Other advantages include the use of CO2 instead of CO as raw material and the elimination of major waste water production. However, for the production of DPC to be economically viable, reactive-distillation units are needed to obtain the necessary yields by shifting the reaction-equilibrium to the desired products and separating the products at the point where the equilibrium reaction occurs. In the field of chemical reaction engineering, there are many reactions that are suffering from the low equilibrium constant. The main goal of this research is to determine the optimal process needed to shift the reactions by using appropriate control strategies of the reactive distillation system. An extensive dynamic mathematical model has been developed to help us investigate different control and processing strategies of the reactive distillation units to increase the production of DPC. The high-fidelity dynamic models include extensive thermodynamic and reaction-kinetics models while incorporating the necessary mass and energy balance of the various stages of the reactive distillation units. The study presented in this document shows the possibility of producing DPC via one reactive distillation instead of the conventional two-column, with a production rate of 16.75 tons/h corresponding to start reactants materials of 74.69 tons/h of Phenol and 35.75 tons/h of Dimethyl Carbonate. This represents a threefold increase over the projected production rate given in the literature based on a two-column configuration. In addition, the purity of the DPC produced could reach levels as high as 99.5% with the effective use of controls. These studies are based on simulation done using high-fidelity dynamic models.

Bisphenol-A and residual monomer leaching from orthodontic adhesive resins and polycarbonate brackets: a systematic review

INTRODUCTION The objective of this systematic review was to assess the short- and long-term release of components of orthodontic adhesives and polycarbonate brackets in the oral environment. METHODS Electronic database searches of published and unpublished literature were performed. The following electronic databases with no language and publication date restrictions were searched: MEDLINE (via Ovid and PubMed), EMBASE (via Ovid), Cochrane Oral Health Group's Trials Register, and CENTRAL. Unpublished literature was searched on ClinicalTrials.gov, the National Research Register, and Pro-Quest Dissertation Abstracts and Thesis database. The reference lists of all eligible studies were checked for additional studies. Two review authors performed data extraction independently and in duplicate using data collection forms. Disagreements were resolved by discussion or the involvement of an arbiter. RESULTS No randomized controlled trial was identified. In the absence of randomized controlled trials, observational studies were included. Eleven studies met the inclusion criteria. All were observational studies conducted in vivo or in vitro. The bisphenol-A release from orthodontic bonding resins was found to be between 0.85 and 20.88 ng per milliliter in vivo, and from traces to 65.67 ppm in vitro. Polycarbonate brackets released amounts of 22.24 μg per gram in ethanol solution and 697 μg per gram after 40 months in water. Bis-GMA and TEGDMA leaching in vitro reached levels of 64 and 174 mg per 10 μL, respectively. Because of the heterogeneity in methodologies and reporting, only qualitative synthesis was performed. CONCLUSIONS The available evidence on this topic derived from observational in-vivo and in-vitro studies that represent a moderate level of evidence. The variety of setups and the different units allied to the diversity of reporting among studies did not allow calculation of pooled estimates.

Composition Space Analysis in the Development of Copper Molybdate Hybrids Decorated by a Bifunctional Pyrazolyl/1,2,4-Triazole Ligand

A bitopic ligand, 4-(3,5-dimethylpyrazol-4-yl)-1,2,4-triazole (Hpz-tr) (1), containing two different heterocyclic moieties was employed for the design of copper(II)–molybdate solids under hydrothermal conditions. In the multicomponent CuII/Hpz-tr/MoVI system, a diverse set of coordination hybrids, [Cu(Hpz-tr)2SO4]·3H2O (2), [Cu(Hpz-tr)Mo3O10] (3), [Cu4(OH)4(Hpz-tr)4Mo8O26]·6H2O (4), [Cu(Hpz-tr)2Mo4O13] (5), and [Mo2O6(Hpz-tr)]·H2O (6), was prepared and characterized. A systematic investigation of these systems in the form of a ternary crystallization diagram approach was utilized to show the influence of the molar ratios of starting reagents, the metal (CuII and MoVI) sources, the temperature, etc., on the reaction products outcome. Complexes 2–4 dominate throughout a wide crystallization range of the composition triangle, while the other two compounds 5 and 6 crystallize as minor phases in a narrow concentration range. In the crystal structures of 2–6, the organic ligand behaves as a short [N–N]-triazole linker between metal centers Cu···Cu in 2–4, Cu···Mo in 5, and Mo···Mo in 6, while the pyrazolyl function remains uncoordinated. This is the reason for the exceptional formation of low-dimensional coordination motifs: 1D for 2, 4, and 6 and 2D for 3 and 5. In all cases, the pyrazolyl group is involved in H bonding (H-donor/H-acceptor) and is responsible for π–π stacking, thus connecting the chain and layer structures in more complicated H-bonding architectures. These compounds possess moderate thermal stability up to 250–300 °C. The magnetic measurements were performed for 2–4, revealing in all three cases antiferromagnetic exchange interactions between neighboring CuII centers and long-range order with a net moment below Tc of 13 K for compound 4.

Molecular Machanics of Water Monomer-Maple Code

This is the Maple code to support the molecular dynamics of a water monomer molecule, allowing investigation of the classical vibrations of this molecule.