Maximum principle, mean value operators and quasi boundedness in non-euclidean settings

This work deals with some classes of linear second order partial differential operators with non-negative characteristic form and underlying non- Euclidean structures. These structures are determined by families of locally Lipschitz-continuous vector fields in RN, generating metric spaces of Carnot- Carath´eodory type. The Carnot-Carath´eodory metric related to a family {Xj}j=1,...,m is the control distance obtained by minimizing the time needed to go from two points along piecewise trajectories of vector fields. We are mainly interested in the causes in which a Sobolev-type inequality holds with respect to the X-gradient, and/or the X-control distance is Doubling with respect to the Lebesgue measure in RN. This study is divided into three parts (each corresponding to a chapter), and the subject of each one is a class of operators that includes the class of the subsequent one. In the first chapter, after recalling “X-ellipticity” and related concepts introduced by Kogoj and Lanconelli in [KL00], we show a Maximum Principle for linear second order differential operators for which we only assume a Sobolev-type inequality together with a lower terms summability. Adding some crucial hypotheses on measure and on vector fields (Doubling property and Poincar´e inequality), we will be able to obtain some Liouville-type results. This chapter is based on the paper [GL03] by Guti´errez and Lanconelli. In the second chapter we treat some ultraparabolic equations on Lie groups. In this case RN is the support of a Lie group, and moreover we require that vector fields satisfy left invariance. After recalling some results of Cinti [Cin07] about this class of operators and associated potential theory, we prove a scalar convexity for mean-value operators of L-subharmonic functions, where L is our differential operator. In the third chapter we prove a necessary and sufficient condition of regularity, for boundary points, for Dirichlet problem on an open subset of RN related to sub-Laplacian. On a Carnot group we give the essential background for this type of operator, and introduce the notion of “quasi-boundedness”. Then we show the strict relationship between this notion, the fundamental solution of the given operator, and the regularity of the boundary points.

I concerti per due violini di Vivaldi (con edizione di RV 513, 521, 528, 764 e ricostruzione di RV 520, 526)

In the whole of Europe the most important composer of concertos for two violins is indubitably Vivaldi (1678-1741), who produced almost thirty works of this type during almost the full length of his creative career. The dissertation examines this particular side of Vivaldi’s activity, starting with an examination of the concerto in Rome, Bologna, and Venice at the turn of the seventeenth and eighteenth centuries. The aspects investigated include the ‘conceptual’ origins of the double concerto for two violins in Vivaldi, the nature, distribution and interrelationship of their sources (particular attention being given to compositional revisions in the autograph manuscripts) and an analysis of the works themselves that takes in form, tonal structure, technical-instrumental character and performance practice. The concertos that have come down in particularly problematic non-autograph sources are discussed in detail and presented in critical editions. A reconstruction is offered of the two works (RV 520 and 526) that have survived only in incomplete form, lacking the part of the first soloist. The concertos for two violins composed in Germany by Telemann and J. S. Bach, the contemporaries of Vivaldi who paid greatest attention to the double concerto genre, are then described and analysed. The thesis ends with a complete list of modern editions of Vivaldi’s concertos for two violins and a select discography.

Potential Analysis for Hypoelliptic Second Order PDEs with Nonnegative Characteristic Form

In this Thesis we consider a class of second order partial differential operators with non-negative characteristic form and with smooth coefficients. Main assumptions on the relevant operators are hypoellipticity and existence of a well-behaved global fundamental solution. We first make a deep analysis of the L-Green function for arbitrary open sets and of its applications to the Representation Theorems of Riesz-type for L-subharmonic and L-superharmonic functions. Then, we prove an Inverse Mean value Theorem characterizing the superlevel sets of the fundamental solution by means of L-harmonic functions. Furthermore, we establish a Lebesgue-type result showing the role of the mean-integal operator in solving the homogeneus Dirichlet problem related to L in the Perron-Wiener sense. Finally, we compare Perron-Wiener and weak variational solutions of the homogeneous Dirichlet problem, under specific hypothesis on the boundary datum.

Non invasive assessment of right ventricle in patients with operated tetralogy of Fallot

The objective of this study was to evaluate right ventricular function in patients with right ventricular volume overload in patients with (tetralogy of Fallot, and pulmonary atresia + VSD ) underwent corrective surgery; with echocardiography measure that can be easily applied; and to study the relationship between ProBNP and the contractile function of the right ventricle, dilated right atrium, and the consequences of pulmonary insufficiency . Methods: The study included 50 patients (50% males, mean age 30.64 ± 13.30 years) with prior cardiac surgical intervention of TDF (90%) or pulmonary atresia + VSD (10%). (49 pz) have performed a cardiac MRI and clinical evaluation, (47 pz) echocardiogram, (48 pz) ECG, (34 pz) a cardiopulmonary exercise testing, (29 pz) a dosage of ProBNP. Results: The S-wave velocity (p <0.0001), the TAPSE (p <0.0001) correlated significantly with RVEF estimated by cardiac MRI. The VO2 max was 27.93 ± 12.91 ml / kg / min, 15% of patients had VE/VCO2 The peak> 35. ProBNP correlated positively and significantly with the area of the right atrium (p = 0.0001), and negative and significant with VO2 max (p = 0.04). Those who have increased pulmonary insufficiency (PVR fraction> 30%) have a significantly increased RVED volume (p = 0.01), reduced VO2 max (p = 0.04), and lower ejection fraction of LV (p = 0.02) than the group of patients with PVR ≤ 30. Conclusion: The TAPSE and S-wave velocity are fundamental and may become the technique of choice for routine assessment of RV systolic function in adult patients with TOF. The monitoring of the Pro BNP is probably a choice, given the simplicity and their information that correlate with the test cardiopulmonary. In view of the ventricular-ventricular interaction, so measures to maintain or restore the functioning of the pulmonary valve could preserve biventricular function.

Design and optimization of components and processes for plasma sources in advanced material treatments

The research activities described in the present thesis have been oriented to the design and development of components and technological processes aimed at optimizing the performance of plasma sources in advanced in material treatments. Consumables components for high definition plasma arc cutting (PAC) torches were studied and developed. Experimental activities have in particular focussed on the modifications of the emissive insert with respect to the standard electrode configuration, which comprises a press fit hafnium insert in a copper body holder, to improve its durability. Based on a deep analysis of both the scientific and patent literature, different solutions were proposed and tested. First, the behaviour of Hf cathodes when operating at high current levels (250A) in oxidizing atmosphere has been experimentally investigated optimizing, with respect to expected service life, the initial shape of the electrode emissive surface. Moreover, the microstructural modifications of the Hf insert in PAC electrodes were experimentally investigated during first cycles, in order to understand those phenomena occurring on and under the Hf emissive surface and involved in the electrode erosion process. Thereafter, the research activity focussed on producing, characterizing and testing prototypes of composite inserts, combining powders of a high thermal conductibility (Cu, Ag) and high thermionic emissivity (Hf, Zr) materials The complexity of the thermal plasma torch environment required and integrated approach also involving physical modelling. Accordingly, a detailed line-by-line method was developed to compute the net emission coefficient of Ar plasmas at temperatures ranging from 3000 K to 25000 K and pressure ranging from 50 kPa to 200 kPa, for optically thin and partially autoabsorbed plasmas. Finally, prototypal electrodes were studied and realized for a newly developed plasma source, based on the plasma needle concept and devoted to the generation of atmospheric pressure non-thermal plasmas for biomedical applications.

Le Coliti Microscopiche nei soggetti con diarrea non ematica: uno studio prospettico

Introduzione: le Coliti Microscopiche, altrimenti note come Colite Collagena e Colite Linfocitica, sono disordini infiammatori cronici del colon che causano diarrea e colpiscono più frequentemente donne in età avanzata e soggetti in terapia farmacologica. Negli ultimi anni la loro incidenza sembra aumentata in diversi paesi occidentali ma la prevalenza in Italia è ancora incerta. Scopo: il presente studio prospettico e multicentrico è stato disegnato per valutare la prevalenza delle CM in pazienti sottoposti a colonscopia per diarrea cronica non ematica. Pazienti e metodi: dal Maggio 2010 al Settembre 2010 sono stati arruolati consecutivamente tutti i soggetti adulti afferenti in due strutture dell’area metropolitana milanese per eseguire una pancolonscopia. Nei soggetti con diarrea cronica non ematica sono state eseguite biopsie multiple nel colon ascendente, sigma e retto nonché in presenza di lesioni macroscopiche. Risultati: delle 8008 colonscopie esaminate 265 sono state eseguite per diarrea cronica; tra queste, 8 presentavano informazioni incomplete, 52 riscontri endoscopici consistenti con altri disordini intestinali (i.e. IBD, tumori, diverticoliti). 205 colonscopie sono risultate sostanzialmente negative, 175 dotate di adeguato campionamento microscopico (M:F=70:105; età mediana 61 anni). L’analisi istologica ha permesso di documentare 38 nuovi casi di CM (M:F=14:24; età mediana 67.5 anni): 27 CC (M:F=10:17; età mediana 69 anni) e 11 CL (M:F=4:7; età mediana 66 anni). In altri 25 casi sono state osservate alterazioni microscopiche prive dei sufficienti requisiti per la diagnosi di CM. Conclusioni: nel presente studio l’analisi microscopica del colon ha identificato la presenza di CM nel 21,7% dei soggetti con diarrea cronica non ematica ed indagine pancolonscopica negativa. Lo studio microscopico del colon è pertanto un passo diagnostico fondamentale per il corretto inquadramento diagnostico delle diarree croniche, specialmente dopo i 60 anni di età. Ampi studi prospettici e multicentrici dovranno chiarire ruolo e peso dei fattori di rischio associati a questi disordini.

Food safety and zoonotic enteric pathogens: sources, risk factors and transmission routes of human salmonellosis and campylobacteriosis

Salmonella and Campylobacter are common causes of human gastroenteritis. Their epidemiology is complex and a multi-tiered approach to control is needed, taking into account the different reservoirs, pathways and risk factors. In this thesis, trends in human gastroenteritis and food-borne outbreak notifications in Italy were explored. Moreover, the improved sensitivity of two recently-implemented regional surveillance systems in Lombardy and Piedmont was evidenced, providing a basis for improving notification at the national level. Trends in human Salmonella serovars were explored: serovars Enteritidis and Infantis decreased, Typhimurium remained stable and 4,[5],12:i:-, Derby and Napoli increased, suggesting that sources of infection have changed over time. Attribution analysis identified pigs as the main source of human salmonellosis in Italy, accounting for 43–60% of infections, followed by Gallus gallus (18–34%). Attributions to pigs and Gallus gallus showed increasing and decreasing trends, respectively. Potential bias and sampling issues related to the use of non-local/non-recent multilocus sequence typing (MLST) data in Campylobacter jejuni/coli source attribution using the Asymmetric Island (AI) model were investigated. As MLST data become increasingly dissimilar with increasing geographical/temporal distance, attributions to sources not sampled close to human cases can be underestimated. A combined case-control and source attribution analysis was developed to investigate risk factors for human Campylobacter jejuni/coli infection of chicken, ruminant, environmental, pet and exotic origin in The Netherlands. Most infections (~87%) were attributed to chicken and cattle. Individuals infected from different reservoirs had different associated risk factors: chicken consumption increased the risk for chicken-attributed infections; animal contact, barbecuing, tripe consumption, and never/seldom chicken consumption increased that for ruminant-attributed infections; game consumption and attending swimming pools increased that for environment-attributed infections; and dog ownership increased that for environment- and pet-attributed infections. Person-to-person contacts around holiday periods were risk factors for infections with exotic strains, putatively introduced by returning travellers.

Musculoskeletal tissue regeneration by human non-embryonic stem cells

The aim of this thesis was to investigate the regenerative potential of alternative sources of stem cells, derived from human dental pulp (hDPSCs) and amniotic fluid (hAFSCs) and, specifically, to evaluate their capability to be committed towards osteogenic and myogenic lineages, for the eventual applicability of these stem cells to translational strategies in regenerative medicine of bone and skeletal muscle tissues. The in vitro bone production by stem cells may represent a radical breakthrough in the treatment of pathologies and traumas characterized by critical bone mass defects, with no medical or surgical solution. Human DPSCs and AFSCs were seeded and pre-differentiated on different scaffolds to test their capability to subsequently reach the osteogenic differentiation in vivo, in order to recover critical size bone defects. Fibroin scaffold resulted to be the best scaffold promoting mature bone formation and defect correction when combined to both hDPSCs and hAFSCs. This study also described a culture condition that might allow human DPSCs to be used for human cell therapy in compliance with good manufacturing practices (GMPs): the use of human serum (HS) promoted the expansion and the osteogenic differentiation of hDPSCs in vitro and, furthermore, allowed pre-differentiated hDPSCs to regenerate critical size bone defects in vivo. This thesis also showed that hDPSCs and hAFSCs can be differentiated towards the myogenic lineage in vitro, either when co-cultured with murine myoblasts and when differentiated alone after DNA demethylation treatment. Interestingly, when injected into dystrophic muscles of SCID/mdx mice - animal model of Duchenne Muscular Dystrophy (DMD) - hDPSCs and hAFSCs pre-differentiated after demethylating treatment were able to regenerate the skeletal muscle tissue and, particularly, to restore dystrophin expression. These observations suggest that human DPSCs and AFSCs might be eventually applied to translational strategies, in order to enhance the repair of injured skeletal muscles in DMD patients.

Nano-fabrication of complex functional structures using non- conventional lithography

In Chapter 1 I will present a brief introduction on the state of art of nanotechnologies, nanofabrication techniques and unconventional lithography as a technique to fabricate the novel electronic device as resistive switch so-called memristor is shown. In Chapter 2 a detailed description of the main fabrication and characterization techniques employed in this work is reported. Chapter 3 parallel local oxidation lithography (pLOx) describes as a main technique to obtain accurate patterning process. All the effective parameters has been studied and the optimized condition observed to highly reproducible with excellent patterned nanostructures. The effect of negative bias, calls local reduction (LR) studied. Moreover, the use of AC bias shows faster patterning process respect to DC bias. In Chapter 4 (metal/ e-SiO2/ Si nanojunction) it is shown how the electrochemical oxide nanostructures by using pLOx can be used in the fabrication of novel devices call memristor. We demonstrate a new concept, based on conventional materials, where the lifetime problem is resolved by introducing a “regeneration” step, which restores the nano-memristor to its pristine condition by applying an appropriate voltage cycle. In Chapter 5 (Graphene/ e-SiO2/ Si), Graphene as a building block material is used as an electrode to selectively oxidize the silicon substrate by pLOx set up for the fabrication of novel resistive switch device. In Chapter 6 (surface architecture) I will show another application of pLOx in biotechnology is shown. So the surface functionalization combine with nano-patterning by pLOx used to design a new surface to accurately bind biomolecules with the possibility of studying those properties and more application in nano-bio device fabrication. So, in order to obtain biochips, electronic and optical/photonics devices Nano patterning of DNA used as scaffolds to fabricate small functional nano-components.

Development of a microgrid with renewable energy sources and electrochemical storage system integration

Beside the traditional paradigm of "centralized" power generation, a new concept of "distributed" generation is emerging, in which the same user becomes pro-sumer. During this transition, the Energy Storage Systems (ESS) can provide multiple services and features, which are necessary for a higher quality of the electrical system and for the optimization of non-programmable Renewable Energy Source (RES) power plants. A ESS prototype was designed, developed and integrated into a renewable energy production system in order to create a smart microgrid and consequently manage in an efficient and intelligent way the energy flow as a function of the power demand. The produced energy can be introduced into the grid, supplied to the load directly or stored in batteries. The microgrid is composed by a 7 kW wind turbine (WT) and a 17 kW photovoltaic (PV) plant are part of. The load is given by electrical utilities of a cheese factory. The ESS is composed by the following two subsystems, a Battery Energy Storage System (BESS) and a Power Control System (PCS). With the aim of sizing the ESS, a Remote Grid Analyzer (RGA) was designed, realized and connected to the wind turbine, photovoltaic plant and the switchboard. Afterwards, different electrochemical storage technologies were studied, and taking into account the load requirements present in the cheese factory, the most suitable solution was identified in the high temperatures salt Na-NiCl2 battery technology. The data acquisition from all electrical utilities provided a detailed load analysis, indicating the optimal storage size equal to a 30 kW battery system. Moreover a container was designed and realized to locate the BESS and PCS, meeting all the requirements and safety conditions. Furthermore, a smart control system was implemented in order to handle the different applications of the ESS, such as peak shaving or load levelling.

Non-thermal emission in High Frequency Peaked blazars towards the Square Kilometer Array era

In this thesis work we will explore and discuss the properties of the gamma-ray sources included in the first Fermi-LAT catalog of sources above 10 GeV (1FHL), by considering both blazars and the non negligible fraction of still unassociated gamma-ray sources (UGS, 13%). We perform a statistical analysis of a complete sample of hard gamma-ray sources, included in the 1FHL catalog, mostly composed of HSP blazars, and we present new VLBI observations of the faintest members of the sample. The new VLBI data, complemented by an extensive search of the archives for brighter sources, are essential to gather a sample as large as possible for the assessment of the significance of the correlation between radio and very high energy (E>100 GeV) emission bands. After the characterization of the statistical properties of HSP blazars and UGS, we use a complementary approach, by focusing on an intensive multi-frequency observing VLBI and gamma-ray campaign carried out for one of the most remarkable and closest HSP blazar Markarian 421.