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    Legendrian cycles and Alexandrov sphere theorems for W^{2,n}-hypersurfaces

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    In this thesis, we prove that the proximal unit normal bundle of the graph of a W^{2,n}-function in n-variables carries a natural structure of Legendrian cycle. We then generalize Alexandrov's sphere theorems for higher-order mean curvature functions to hypersurfaces in \mathbb{R}^{n+1} which are locally graphs of arbitrary W^{2,n}-functions, under a general degenerate ellipticity condition. The proof relies on extending the Montiel-Ros argument to this class of hypersurfaces and on the existence of the aforementioned Legendrian cycles. We also prove the existence of n-dimensional Legendrian cycles with 2n-dimensional support, thus answering a question posed by Rataj and Zähle. Furthermore, we extend some of these results to Sobolev-type manifolds, representable as finite unions of W^{2,n}-regular graphs, and generalize Reilly's variational formulas in this context. Finally, we provide a very general version of the umbilicality theorem for Sobolev-type hypersurfaces

    Use of Digital and Telemedicine Tools for Postoperative Pain Management at Home: A Scoping Review of Health Professionals’ Roles and Clinical Outcomes

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    Postoperative pain management after hospital discharge remains one of the main clinical challenges. The use of digital and telemedicine tools offers new opportunities for the continuous monitoring of, and timely intervention in, patients discharged and followed at home. This scoping review, conducted according to the PRISMA-ScR checklist and the Joanna Briggs Institute methodology, analyzed 26 studies selected through a search of PubMed, Scopus, and Web of Science databases. Inclusion criteria comprised studies published between 2015 and 2025 that involved patients discharged home after surgery, that used digital or telemedicine tools for pain management, and that included active involvement of healthcare professionals and reported clinical outcomes. Studies show the use of a variety of digital tools, including mobile applications, web platforms, wearable sensors, automated messaging systems, and virtual reality technologies, alternating across settings for the assessment and management of pain at home, educational and therapeutic support, and to enhance communication between healthcare professionals and patients. Most reported outcomes focus on improved home-based pain control, a reduction in opioid consumption, and a high level of patient satisfaction. However, some challenges remain, particularly the low level of digital literacy among certain segments of the population. In conclusion, the implementation of telemedicine and digital technologies for managing postoperative pain at home proves to be a promising strategy. Nonetheless, it requires further scientific investigation and, from policymakers, significant investments in professional training and technological infrastructure to ensure an increasingly equitable and sustainable distribution of home healthcare services

    Le opere di Mario Bigongiari a Buenos Aires

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    System Level Cumulative EM Radiation Prediction From Stacked Machines in Data Centers

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    This work proposes a methodology for predicting the cumulative electromagnetic radiation from multiple stacked sources, starting from the knowledge of the radiation from the elementary sources. Nowadays, the capability of predicting the total radiated emission level coming from stacked trays within a data center rack system is becoming more and more appealing for system designers and this is one of the possible application scenarios in which the proposed methodology perfectly fits. The developed strategy is based on the knowledge of the radiation characteristics of each single source. Each tray, considered as a single EM source, can be individually measured inside an anechoic chamber. This is a simpler process compared to the measurements of a more complex, larger, and completely assembled system. The radiated E-field from each source is used as the objective function of a genetic algorithm (GA) developed for this specific purpose to find the spherical wave expansion (SWE) coefficients whose associated radiated field best matches with the reference measured data. The SWE coefficients of all single sources are summed to obtain the spectral representation of the entire system. The developed method is validated by full-wave simulations based on simplified tray sources, although the radiation pattern of the full-wave model is very similar to the one of a real tray source. An experimental validation is also carried out based on three different tray machines. Both the full-wave and the experimental validations demonstrate the feasibility of the proposed methodology

    FOMES INZENGAE EXTRACT LIMITS PROLIFERATION AND MIGRATION OF HEPATOCELLULAR CARCINOMA CELLS THROUGH MODULATION OF THE PTEN/PI3K/AKT PATHWAY

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    Fomes inzengae, a sister species of F. fomentarius, is a lignicolous fungus parasitic on deciduous trees and widely distributed across Europe. While other species within the genus Fomes are well-documented for their production of bioactive compounds, including polysaccharides, triterpenes and their derivatives, lipids, and secondary metabolites, the properties of F. inzengae remain largely unexplored, highlighting the need for further research. These compounds are known for their diverse pharmacological activities, including anticancer, immunomodulatory, anti-inflammatory, and antiviral effects [1]. This study investigates the bioactive properties and biological effects of Fomes inzengae ethanol extract on two hepatocarcinoma (HCC) cell lines, HepG2 and Huh7. Firstly, we assessed its cytotoxic potential and antiproliferative activity using various methods, including the Trypan Blue Exclusion Test, Lactate Dehydrogenase (LDH) test, and Live/Dead assays. The results demonstrated that F. inzengae extract significantly reduced the number of both HepG2 and Huh7 cells in a time- and dose-dependent manner. Based on these preliminary experiments, we identified 100 μg/mL as the optimal concentration for evaluating both cytotoxic and biological effects. At this concentration, treatment with F. inzengae extract led to an increase in the levels of tumor suppressor proteins p53, p21, and p27, suggesting a slowdown of the cell cycle. Additionally, we observed a decrease in the expression of the anti-apoptotic protein Bcl-2, alongside an increase in pro-apoptotic proteins Bax, cleaved caspase-9, and caspase-3. Furthermore, the extract impaired the wound-healing ability of Huh7 cells, which are highly migratory, suggesting its potential role in limiting cancer cell dissemination. This was further supported by the upregulation of E-cadherin and downregulation of Twist, as confirmed by Western blot analysis. Additionally, to explore the molecular mechanisms underlying these effects, we investigated potential signaling pathways that could be involved. Given its well-established role in regulating cell survival, proliferation, migration, and metabolism, we focused on the PTEN/PI3K/AKT pathway [2]. PTEN, a tumor suppressor, dephosphorylates PIP3, thereby inhibiting the activity of Phosphoinositide 3-Kinase (PI3K) and subsequently Protein Kinase B (AKT), which are key mediators of cell growth and survival. Western blot analysis of Huh7 cells revealed an increase in active (dephosphorylated) PTEN levels and a decrease in the phosphorylated (active) forms of PI3K and AKT, aligning with the observed biological effects. Although further research is needed to fully characterize the bioactive components and precise molecular targets of F. inzengae ethanol extract, our findings indicate that this polypore fungus exerts antiproliferative, proapoptotic, and antimigratory effects, at least in part, through modulation of the PTEN/PI3K/AKT signaling pathway. [1] Diego Morales, Fomes fomentarius: An underexplored mushroom as source of bioactive compounds, Food Bioscience, Volume 61,2024,104781,ISSN 2212-4292. [2] Papa A, The PTEN-PI3K Axis in Cancer. Biomolecules. 2019 Apr 17;9(4):153. doi: 10.3390/biom9040153. PMID: 30999672; PMCID: PMC6523724

    Da dispensario antitubercolare a Dispensario Centrale d’Igiene Sociale. Progetti e realizzazioni per l’Aquila di Cesare Valle e Gaspare e Luigi Lenzi

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    Le vicende che interessano i due edifici destinati a presidi sanitari a L'Aquila evidenziano la professionalità messa in campo prima da Cesare Valle e poi da Gaspare e Luigi Lenzi nell’affrontare architetture dalla forte specializzazione, in un momento storico complesso sia dal punto di vista sanitario sia politico-economico. Le due architetture, diverse tra loro per dimensione, tipologia e scelte linguistiche rispondono a forti vincoli urbanistici e a precise necessità funzionali. Entrambi i progettisti erano nel pieno della loro crescita professionale nell’ambito del regime fascista e il loro intervento a L’Aquila negli anni Trenta del Novecento testimonia alcuni passaggi cruciali della trasformazione di un settore della città a ridosso delle mura urbiche e ricco di testimonianze storiche. Il terremoto del 2009 e il processo di ricostruzione ancora in essere sull’area nella quale si collocano i due presidi rendono la loro storia ancora in divenire

    Sull’it. anglosassone in rapporto all’ingl. Anglo-Saxon

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    Il volume raccoglie saggi di colleghi, allievi, amici che hanno inteso così offrire un omaggio a Dora Faraci, Professore ordinario di Filologia germanica presso l’Università di Roma Tre dal 2008 al 2024. La numerosità e la varietà degli argomenti trattati, tutti riconducibili comunque a temi di particolare interesse per la festeggiata, riflettono la figura professionale e umana di una studiosa autorevole ed eclettica, incline a superare e abbattere felicemente confini talvolta troppo rigidi tra singole discipline. A contributi inerenti squisitamente la filologia germanica, se ne affiancano pertanto altri dedicati ad ambiti linguistici, letterari, storici e artistici delle tradizioni europee ed extra-europee

    A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage

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    We study a strain gradient-enhanced version of a model for geomaterials under compression by Marigo and Kazymyrenko (2019) coupling damage and small-strain associative plasticity. We prove that the jumps in time of the plastic variable may happen only along jumps of the damage variable. Moreover, we perform a vanishing-viscosity analysis showing existence of Balanced Viscosity quasistatic solutions à la Mielke-Rossi-Savaré

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