Dynamics of the Heisenberg XXZ model across the ferromagnetic transition

In questa tesi viene presentata un'analisi numerica dell'evoluzione dinamica del modello di Heisenberg XXZ, la cui simulazione è stata effettuata utilizzando l'algoritmo che va sotto il nome di DMRG. La transizione di fase presa in esame è quella dalla fase paramagnetica alla ferromagnetica: essa viene simulata in una catena di 12 siti per vari tempi di quench. In questo modo si sono potuti esplorare diversi regimi di transizione, da quello istantaneo al quasi-adiabatico. Come osservabili sono stati scelti l'entropia di entanglement, la magnetizzazione di mezza catena e lo spettro dell'entanglement, particolarmente adatti per caratterizzare la fisica non all'equilibrio di questo tipo di sistemi. Lo scopo dell'analisi è tentare una descrizione della dinamica fuori dall'equilibrio del modello per mezzo del meccanismo di Kibble-Zurek, che mette in relazione la sviluppo di una fase ordinata nel sistema che effettua la transizione quantistica alla densità di difetti topologici, la cui legge di scala è predicibile e legata agli esponenti critici universali caratterizzanti la transizione.

Statistical mechanics of polymer models: rigorous results and applications

Monomer-dimer models are amongst the models in statistical mechanics which found application in many areas of science, ranging from biology to social sciences. This model describes a many-body system in which monoatomic and diatomic particles subject to hard-core interactions get deposited on a graph. In our work we provide an extension of this model to higher-order particles. The aim of our work is threefold: first we study the thermodynamic properties of the newly introduced model. We solve analytically some regular cases and find that, differently from the original, our extension admits phase transitions. Then we tackle the inverse problem, both from an analytical and numerical perspective. Finally we propose an application to aggregation phenomena in virtual messaging services.

In vitro cytotoxicity of silver nanoparticles on osteoblasts and osteoclasts at antibacterial concentrations

Abstract Nanoparticulate silver coatings for orthopaedic implants promise to decrease postoperative infection rates. However, silver-induced cytotoxicity on bone cells has not been investigated in detail. This study investigated the cytotoxic effects of silver nano- and microparticles and Ag(+) on osteoblasts (OBs) and osteoclasts (OCs) and correlated their effects with the antibacterial efficacy on Staphylococcus epidermidis. Silver nanoparticles (50 nm) exhibited strong cytotoxic effects on OBs and OCs. Weak cytotoxic effects were observed for silver microparticles (3 μm). The cytotoxicity was primarily mediated by a size-dependent release of Ag(+). Antibacterial effects occurred at Ag(+) concentrations that were 2-4 times higher than those inducing cytotoxic effects. Such adverse effects on OB and OC survival may have deleterious effects on the biocompatibility of orthopaedic implants. Our study represents an important step toward the detailed investigation of orthopaedic implant with nanoparticulate silver coatings prior to their widespread clinical usage.

Investigating The Fate Of Positively Charged Nanoparticles In A Soil Environment

The recent increase in the amount of nanoparticles incorporated into commercial products is accompanied by a rising concern of the fate of these nanoparticles. Once released into the environment, it is inevitable that the nanoparticles will come into contact with the soil, introducing them to various routes of environmental contamination. One route that was explored in this research was the interaction between nanoparticles and clay minerals. In order to better define the interactions between clay minerals and positively charged nanoparticles, in situ atomic force microscopy (AFM) was utilized. In situ AFM experiments allowed interactions between clay minerals and positively charged nanoparticles to be observed in real time. The preliminary results demonstrated that in situ AFM was a reliable technique for studying the interactions between clay minerals and positively charged nanoparticles and showed that the nanoparticles affected the swelling (height) of the clay quasi-crystals upon exposure. The preliminary AFM data were complemented by batch study experiments which measured the absorbance of the nanoparticle filtrate after introduction to clay minerals in an effort to better determine the mobility of the positively charged nanoparticles in an environment with significant clay contribution. The results of the batch study indicated that the interactions between clay minerals and positively charged nanoparticles were size dependent and that the interactions of the different size nanoparticles with the clay may be occurring to different degrees. The degree to which the different size nanoparticles were interacting with the clay was further probed using FTIR (Fourier transform infrared) spectroscopy experiments. The results of these experiments showed that interactions between clay minerals and positively charged nanoparticles were size dependent as indicated by a change in the FTIR spectra of the nanoparticles upon introduction to clay.

Molecular characterization of HOXA13 polyalanine expansion proteins in hand-foot-genital syndrome

We report on a father and daughter with hand-foot-genital syndrome (HFGS) with typical skeletal and genitourinary anomalies due to a 14-residue polyalanine expansion in HOXA13. This is the largest (32 residues) polyalanine tract so far described for any polyalanine mutant protein. Polyalanine expansion results in protein misfolding, cytoplasmic aggregation and degradation; however, HOXA13 polyalanine expansions appear to act as loss of function mutations in contrast to gain of function for HOXD13 polyalanine expansions. To address this paradox we examined the cellular consequences of polyalanine expansions on HOXA13 protein using COS cell transfection and immunocytochemistry. HOXA13 polyalanine expansion proteins form cytoplasmic aggregates, and distribution between cytoplasmic aggregates or the nucleus is polyalanine tract size-dependent. Geldanamycin, an Hsp90 inhibitor, reduces the steady-state abundance of all polyalanine-expanded proteins in transfected cells. We also found that wild-type HOXA13 or HOXD13 proteins are sequestered in HOXA13 polyalanine expansion cytoplasmic aggregates. Thus, the difference between HOXA13 polyalanine expansion loss-of-function and HOXD13 polyalanine expansion dominant-negative effect is not the ability to aggregate wild-type group 13 paralogs but perhaps to variation in activities associated with refolding, aggregation or degradation of the proteins.

Translocation of particles and inflammatory responses after exposure to fine particles and nanoparticles in an epithelial airway model

ABSTRACT: BACKGROUND: Experimental studies provide evidence that inhaled nanoparticles may translocate over the airspace epithelium and cause increased cellular inflammation. Little is known, however, about the dependence of particle size or material on translocation characteristics, inflammatory response and intracellular localization. RESULTS: Using a triple cell co-culture model of the human airway wall composed of epithelial cells, macrophages and dendritic cells we quantified the entering of fine (1 mum) and nano-sized (0.078 mum) polystyrene particles by laser scanning microscopy. The number distribution of particles within the cell types was significantly different between fine and nano-sized particles suggesting different translocation characteristics. Analysis of the intracellular localization of gold (0.025 mum) and titanium dioxide (0.02-0.03 mum) nanoparticles by energy filtering transmission electron microscopy showed differences in intracellular localization depending on particle composition. Titanium dioxide nanoparticles were detected as single particles without membranes as well as in membrane-bound agglomerations. Gold nanoparticles were found inside the cells as free particles only. The potential of the different particle types (different sizes and different materials) to induce a cellular response was determined by measurements of the tumour necrosis factor-alpha in the supernatants. We measured a 2-3 fold increase of tumour necrosis factor-alpha in the supernatants after applying 1 mum polystyrene particles, gold nanoparticles, but not with polystyrene and titanium dioxide nanoparticles. CONCLUSION: Quantitative laser scanning microscopy provided evidence that the translocation and entering characteristics of particles are size-dependent. Energy filtering transmission electron microscopy showed that the intracellular localization of nanoparticles depends on the particle material. Both particle size and material affect the cellular responses to particle exposure as measured by the generation of tumour necrosis factor-alpha.

First-principles studies of boron nanostructures

Boron is an 'electron deficient' element which has a rather fascinating chemical versatility. In the solid state, the elemental boron has neither a pure covalent nor a pure metallic character. As a result, its vast structural dimensionally and peculiar bonding features hold a unique place among other elements in the periodic table. In order to understand and properly describe these unusual bonding features, a detailed and systematic theoretical study is needed. In this work, I will show that some of the qualitative features of boron nanostructures, including clusters, sheets and nanotubes can easily be extracted from the results of first principles calculations based on density functional theory. Specifically, the size-dependent evolution of topological structures and bonding characteristics of boron clusters, Bn will be discussed. Based on the scenario observed in the boron clusters, the unique properties of boron sheets and boron nanotubes will be described. Moreover, the ballistic electron transport in single-walled carbon nanotubes will be considered. It is expected that the theoretical results obtained in the present thesis will initiate further studies on boron nanostructures, which will be helpful in understanding, designing and realizing boron-based nanoscale devices.

Evolutionary demography of long-lived monocarpic perennials: a time-lagged integral projection model

1. The evolution of flowering strategies (when and at what size to flower) in monocarpic perennials is determined by balancing current reproduction with expected future reproduction, and these are largely determined by size-specific patterns of growth and survival. However, because of the difficulty in following long-lived individuals throughout their lives, this theory has largely been tested using short-lived species (< 5 years). 2. Here, we tested this theory using the long-lived monocarpic perennial Campanula thyrsoides which can live up to 16 years. We used a novel approach that combined permanent plot and herb chronology data from a 3-year field study to parameterize and validate integral projection models (IPMs). 3. Similar to other monocarpic species, the rosette leaves of C. thyrsoides wither over winter and so size cannot be measured in the year of flowering. We therefore extended the existing IPM framework to incorporate an additional time delay that arises because flowering demography must be predicted from rosette size in the year before flowering. 4. We found that all main demographic functions (growth, survival probability, flowering probability and fecundity) were strongly size-dependent and there was a pronounced threshold size of flowering. There was good agreement between the predicted distribution of flowering ages obtained from the IPMs and that estimated in the field. Mostly, there was good agreement between the IPM predictions and the direct quantitative field measurements regarding the demographic parameters lambda, R-0 and T. We therefore conclude that the model captures the main demographic features of the field populations. 5. Elasticity analysis indicated that changes in the survival and growth function had the largest effect (c. 80%) on lambda and this was considerably larger than in short-lived monocarps. We found only weak selection pressure operating on the observed flowering strategy which was close to the predicted evolutionary stable strategy. 6. Synthesis. The extended IPM accurately described the demography of a long-lived monocarpic perennial using data collected over a relatively short period. We could show that the evolution of flowering strategies in short- and long-lived monocarps seem to follow the same general rules but with a longevity-related emphasis on survival over fecundity.

Ar diffusion in K-feldspar: present and absent

The mechanisms of Ar release from K-feldspar samples in laboratory experiments and during their geological history are assessed here. Modern petrology clearly established that the chemical and isotopic record of minerals is normally dominated by aqueous recrystallization. The laboratory critique is trickier, which explains why so many conflicting approaches have been able to survive long past their expiration date. Current models are evaluated for self-consistency; especially Arrhenian non-linearity leads to paradoxes. The models’ testable geological predictions suggest that temperature-based downslope extrapolations often overestimate observed geological Ar mobility substantially. An updated interpretation is based on the unrelatedness of geological behaviour to laboratory experiments. The isotopic record of K-feldspar in geological samples is not a unique function of temperature, as recrystallisation promoted by aqueous fluids is the predominant mechanism controlling isotope transport. K-feldspar should therefore be viewed as a hygrochronometer. Laboratory degassing proceeds from structural rearrangements and phase transitions such as are observed in situ at high temperature in Na and Pb feldspars. These effects violate the mathematics of an inert Fick’s Law matrix and preclude downslope extrapolation. The similar upward-concave, non-linear shapes of Arrhenius trajectories of many silicates, hydrous and anhydrous, are likely common manifestations of structural rearrangements in silicate structures.

Cell Cycle Regulatory Roles of Estrogen Receptor alpha (ERα) in Breast Cancer Cells

Previous studies have shown that Estrogen Receptor alpha (ERα) is an important indicator for diagnosis, prognosis and treatment of breast cancers. However, the question remains as to the role of ERα in the cell in the presence versus absence of 17-β estradiol In this dissertation the role of ERα in both its unliganded and liganded state, with respect to the cell cycle will be explored. The cell line models used in this project are ER-positive MCF-7 cells with and without siRNA to ERα and ER-positive MDA-MB-231 cells that have been engineered to express ERα. Cells were synchronized and the cell cycle progression was monitored by flow cytometric analysis. Using these methods, two specific questions were addressed: Does ERα modulate the cell cycle differently under liganded versus unliganded conditions? And, does the presence of ERα regulate cell cycle phase transitions? The results show for the first time that ERα is cell cycle regulated and modulates the progression of cells through S and G2/M phases of the cell cycle. Ligand bound ERα increases progression through S and G2/M phases, whereas unliganded ERα acts as an inhibitor of cell cycle progression. To further investigate the cell cycle regulated effects of liganded ERα, a luciferase assay was performed and showed that the transcription of target genes such as Progestrone Receptor (PgR) and Trefoil protein (pS2) increased duing S and G2/M phases when ERα is bound to ligand. Additionally, complex formation between cyclin B and ER α was shown by immunoprecipitation and led to the discovery that anaphase promoting complex (APC) is the E3 ligase for both cyclin B and ERα at the termination of M phase. Our findings suggest that unliganded ERα has an inhibitory effect on the progression of the cell cycle. Therefore, it is reasonable to speculate that the combination of drugs that lower estrogen level (such as aromatase inhibitors) and preserves ERα from degradation would provide better outcome for breast cancer treatment. We have shown that APC functions as the E3 ligase for ERα and thus might provide a target to design a specific inhibitor of ERα degradation.

Sizing up your enemy: individual predation vulnerability predicts migratory probability

Partial migration, in which a fraction of a population migrate and the rest remain resident, occurs in an extensive range of species and can have powerful ecological consequences. The question of what drives differences in individual migratory tendency is a contentious one. It has been shown that the timing of partial migration is based upon a trade-off between seasonal fluctuations in predation risk and growth potential. Phenotypic variation in either individual predation risk or growth potential should thus mediate the strength of the trade-off and ultimately predict patterns of partial migration at the individual level (i.e. which individuals migrate and which remain resident). We provide cross-population empirical support for the importance of one component of this model—individual predation risk—in predicting partial migration in wild populations of bream Abramis brama, a freshwater fish. Smaller, high-risk individuals migrate with a higher probability than larger, low-risk individuals, and we suggest that predation risk maintains size-dependent partial migration in this system.

Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits

A quantum simulator of U(1) lattice gauge theories can be implemented with superconducting circuits. This allows the investigation of confined and deconfined phases in quantum link models, and of valence bond solid and spin liquid phases in quantum dimer models. Fractionalized confining strings and the real-time dynamics of quantum phase transitions are accessible as well. Here we show how state-of-the-art superconducting technology allows us to simulate these phenomena in relatively small circuit lattices. By exploiting the strong non-linear couplings between quantized excitations emerging when superconducting qubits are coupled, we show how to engineer gauge invariant Hamiltonians, including ring-exchange and four-body Ising interactions. We demonstrate that, despite decoherence and disorder effects, minimal circuit instances allow us to investigate properties such as the dynamics of electric flux strings, signaling confinement in gauge invariant field theories. The experimental realization of these models in larger superconducting circuits could address open questions beyond current computational capability.

Controlled assembly and single electron charging of monolayer protected Au 144 clusters: an electrochemistry and scanning tunneling spectroscopy study

Single gold particles may serve as room temperature single electron memory units because of their size dependent electronic level spacing. Here, we present a proof-of-concept study by electrochemically controlled scanning probe experiments performed on tailor-made Au particles of narrow dispersity. In particular, the charge transport characteristics through chemically synthesized hexane-1-thiol and 4-pyridylbenzene-1-thiol mixed monolayer protected Au144 clusters (MPCs) by differential pulse voltammetry (DPV) and electrochemical scanning tunneling spectroscopy (EC-STS) are reported. The pyridyl groups exposed by the Au-MPCs enable their immobilization on Pt(111) substrates. By varying the humidity during their deposition, samples coated by stacks of compact monolayers of Au-MPCs or decorated with individual, laterally separated Au-MPCs are obtained. DPV experiments with stacked monolayers of Au144-MPCs and EC-STS experiments with laterally separated individual Au144-MPCs are performed both in aqueous and ionic liquid electrolytes. Lower capacitance values were observed for individual clusters compared to ensemble clusters. This trend remains the same irrespective of the composition of the electrolyte surrounding the Au144-MPC. However, the resolution of the energy level spacing of the single clusters is strongly affected by the proximity of neighboring particles.

Pattern and process: competition causes regular spacing of individuals within plant populations

1 We used simulated and experimental plant populations to analyse mortality-driven pattern formation under size-dependent competition. Larger plants had an advantage under size-asymmetric but not under symmetric competition. Initial patterns were random or clumped. 2 The simulations were individual-based and spatially explicit. Size-dependent competition was modelled with different rules to partition overlapping zones of influence. 3 The experiment used genotypes of Arabidopsis thaliana with different morphological plasticity and hence size-dependent competition. Compared with wild types, transgenic individuals over-expressed phytochrome A and had decreased plasticity because of disabled phytochrome-mediated shade avoidance. Therefore, competition among transgenics was more asymmetric compared with wild-types. 4 Density-dependent mortality under symmetric competition did not substantially change the initial spatial pattern. Conversely, simulations under asymmetric competition and experimental patterns of transgenic over-expressors showed patterns of survivors that deviated substantially from random mortality independent of initial patterns. 5 Small-scale initial patterns of wild types were regular rather than random or clumped. We hypothesize that this small-scale regularity may be explained by early shade avoidance of seedlings in their cotyledon stage. 6 Our experimental results support predictions from an individual-based simulation model and support the conclusion that regular spatial patterns of surviving individuals should be interpreted as evidence for strong, asymmetric competitive interactions and subsequent density-dependent mortality.

The effect of exposure to antibiotics on incidence and spontaneous clearance of childhood Helicobacter pylori infection

It is claimed often in the H. pylori literature that spontaneous clearance (infection loss without attempts to treat) is uncommon, though little evidence supports this claim. Emerging evidence suggests that spontaneous clearance may be frequent in young children; however, factors that determine persistence of untreated H. pylori infection in childhood are not well understood. The author hypothesized that antibiotics taken for common infections cause spontaneous clearance of H. pylori infection in children. The Pasitos Cohort Study (19982005) investigated predictors of acquisition and persistence of H. pylori infection in children from El Paso, Texas, and Juarez, Mexico, enrolled prenatally at maternal-child clinics. Children were screened for infection at target intervals of 6 months from 6-84 months of age by the 13C-urea breath test corrected for body-size-dependent variation in CO2 production. This dissertation aimed to estimate the risk of spontaneous clearance at the next test following an initial detected H. pylori infection (first detected clearance), estimate the effect of antibiotic exposure on the risk of first detected clearance (risk difference), and estimate the effect of antibiotic exposure on the rate of first detected infection (rate ratio). Data on infection status and medication history were available for 608 children followed for a mean of 3.5 years. Among 265 subjects with a first detected infection, 218 had a subsequent test, and among them, the risk of first detected clearance was 68% (95% CI: 61-74%). Children who took antibiotics during the interval between first detected infection and next test had an increased probability (risk difference of 10 percentage points) of a first detected clearance. However, there was also a similar effect of average antibiotic use >0 courses across all intervals preceding the next test. Average antibiotic exposure across all intervals preceding the first detected infection appeared to have a much stronger protective effect than interval/specific exposure when estimating incidence rate ratios (0.45 vs. 1.0). Incidental antibiotic exposure appears to influence the acquisition and duration of childhood H. pylori infection, however, given that many exposed children acquired the infection and many unexposed children cleared the infection, antibiotic exposure does not explain all infection events. ^