342 research outputs found

    Proof-theoretic pluralism

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    Starting from a proof-theoretic perspective, wheremeaning is determined by the inference rules governing logical operators, in this paper we primarily aim at developing a proof-theoretic alternative to the model-theoretic meaning-invariant logical pluralism discussed in Beall and Restall (Logical pluralism, Oxford University Press, Oxford, 2006). We will also outline how this framework can be easily extended to include a form of meaning-variant logical pluralism. In this respect, the framework developed in this paper\u2014which we label two-level proof-theoretic pluralism\u2014is much broader in scope than the one discussed in Beall and Restall\u2019s book

    Steiner's formula in the Heisenberg group

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    Steiner's tube formula states that the volume of an ∈-neighborhood of a smooth regular domain in ℝn is a polynomial of degree n in the variable ∈ whose coefficients are curvature integrals (also called quermassintegrals). We prove a similar result in the sub-Riemannian setting of the first Heisenberg group. In contrast to the Euclidean setting, we find that the volume of an ∈-neighborhood with respect to the Heisenberg metric is an analytic function of ∈ that is generally not a polynomial. The coefficients of the series expansion can be explicitly written in terms of integrals of iteratively defined canonical polynomials of just five curvature terms

    Experimental demonstration of enhanced self-amplified spontaneous emission by an optical klystron.

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    We report the first experimental evidence of enhancement of self-amplified spontaneous emission, due to the use of an optical klystron. In this free-electron laser scheme, a relativistic electron beam passes through two undulators, separated by a dispersive section. The latter converts the electron-beam energy modulation produced in the first undulator in density modulation, thus enhancing the free-electron laser gain. The experiment has been carried out at the FERMI facility in Trieste. Powerful radiation has been produced in the extreme ultraviolet range, with an intensity a few orders of magnitude larger than in pure self-amplified spontaneous emission mode. Data have been benchmarked with an existing theoretical model. © 2015 American Physical Society

    Advances in Seeded Free Electron Lasers: Generation and Control of Stable and Fully Coherent X-Ray Pulses in Conventional and Exotic Configurations

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    Since the discovery of lasers, the quest for new powerful sources of radiation has become an exciting fields of both fundamental and applied research. Indeed, light sources are nowadays one of the most powerful tools for matter investigation. Free electron lasers (FELs) represent the next step in the evolution of the light sources, with the potential to overcome the lack of coherent sources in the x-ray spectral range. After a general introduction to the characteristics and mechanisms of seeded FEL I will introduce the FERMI FEL facility, which is the first user facility in the XUV spectral range based seeded high-gain harmonic generation. Then I will report different approaches that I followed to improve the performance of the FERMI FEL. In particular, I will focus on experiments aimed at measuring and controlling the polarization of the FEL pulse, and at generating multi-color FEL pulses for pump-probe experiments. Furthermore I will present the experiments I carried out in order to assess the effect on the FEL performance of a laser heater, which is a device that is used to control the energy spread of the electron beam

    Identification of genetic network dynamics with unate structure

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    Motivation: Modern experimental techniques for time course measurement of gene expression enable the identification of dynamical models of genetic regulatory networks. In general, identification involves fitting appropriate network structures and parameters to the data. For a given set of genes, exploring all possible network structures is clearly prohibitive. Modelling and identification methods for the a priori selection of network structures compatible with biological knowledge and experimental data are necessary to make the identification problem tractable. Results: We propose a differential equation modelling framework where the regulatory interactions among genes are expressed in terms of unate functions, a class of gene activation rules commonly encountered in Boolean network modelling. We establish analytical properties of the models in the class and exploit them to devise a two-step procedure for gene network reconstruction from product concentration and synthesis rate time series. The first step isolates a family of model structures compatible with the data from a set of most relevant biological hypotheses. The second step explores this family and returns a pool of best fitting models along with estimates of their parameters. The method is tested on a simulated network and compared with state-of-the-art network inference methods on the benchmark synthetic network IRMA. Contact: [email protected] Supplementary information: Supplementary data are available at Bioinformatics onlin

    Spectro-temporal shaping of seeded free-electron laser pulses

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    We demonstrate the ability to control and shape the spectro-temporal content of extreme-ultraviolet (XUV) pulses produced by a seeded free-electron laser (FEL). The control over the spectro-temporal properties of XUV light was achieved by precisely manipulating the linear frequency chirp of the seed laser. Our results agree with existing theory, which allows retrieving the temporal properties (amplitude and phase) of the FEL pulse from measurements of the spectra as a function of the FEL operating parameters. Furthermore, we show the first direct evidence of the full temporal coherence of FEL light and generate Fourier limited pulses by fine-tuning the FEL temporal phase. The possibility to tailor the spectro-temporal content of intense short-wavelength pulses represents the first step towards efficient nonlinear optics in the XUV to X-ray spectral region and will enable precise manipulation of core-electron excitations using the methods of coherent quantum control.Comment: 5 pages, 3 figure

    How the optical timing system, the longitudinal diagnostics and the associated feedback systems provide femtosecond stable operation at the FERMI free electron laser

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    FERMI, the seeded free electron laser (FEL) in operation in Italy, is providing the User Community with unique fully coherent radiation, in the wavelength range 100–4 nm. FERMI is the first FEL fully synchronized by means of optical fibers. The optical timing system ensures an ultra-stable phase reference to its distributed clients. Several femtosecond longitudinal diagnostics verify the achieved performance; the bunch length monitor (BLM) and the bunch arrival monitor (BAM) will be presented in this paper. Feedback systems play a crucial role to guarantee the needed long-term electron beam stability. A real-time infrastructure allows shot-to-shot communication between front-end computers and the servers. Orbit feedbacks are useful in machine tuning, whereas longitudinal feedbacks control electron energy, compression and arrival time. A flexible software framework allows a rapid implementation of heterogeneous multi-input–multi-output (MIMO) longitudinal loops simply by selecting the appropriate sensors and actuators

    Méthodes de validation de modèles de population pour les dynamiques d’expression génique

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    The advent of experimental techniques for the time-course monitoring of gene expression at the single-cell level has paved the way to the model-based study of gene expression variability within- an across-cells. A number of approaches to the inference of models accounting for variability of gene expression over isogenic cell populations have been developed and applied to real-world scenarios. The development of a systematic approach for the validation of population models is however lagging behind, and accuracy of the models obtained is often assessed on a semi-empirical basis. In this report we study the problem of validating models of gene network dynamics for cell populations, providing statistical tools for qualitative and quantitative model validation and comparison, and guidelines for their application and interpretation based on a real biological case study.La diffusion des techniques expérimentales pour la mesure de l’expression génique au cours du temps à niveau des cellules individuelles a ouvert la voie à l’étude par modèles de la variabilité intra- et extracellulaire de l’expression génique. Plusieurs approches à l’inférence de modèles de variabilité en populations cellulaires isogéniques ont étés développés et appliques à des contextes réels. Toutefois, moins d’efforts ont étés dédies au développement d’approches systématique a la validation de ces modèles de population, et la qualité des modèles obtenus est souvent évaluée par des critères semi-empiriques. Dans ce rapport on étudie le problème de la validation de modèles des dynamiques des réseaux géniques pour populations cellulaires. On propose des outils statistiques pour la validation et la comparaison qualitative et quantitative de modèles, et on discute leur application et interprétation sur la base d’un problème biologique réel

    Effect of green tea catechins in patients with high-grade prostatic intraepithelial neoplasia: Results of a short-term double-blind placebo controlled phase II clinical trial

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    Background and study objective: Several studies suggest a protective role of green tea catechins against prostate cancer (PCa). In order to evaluate the efficacy of green tea catechins for chemoprevention of PCa in patients with high-grade prostate intraepithelial neoplasia (HG-PIN) we performed a phase II clinical trial. Methods: Sixty volunteers with HG-PIN were enrolled to carry out a double-blind randomized placebo-controlled phase II clinical trial. Treated group took daily 600 mg of green tea catechins (Categ Plus®) for 1 year. Patients were screened at 6 and 12 months through prostatic biopsy and measurements of prostate-specific antigen (PSA). Results: Despite the statistically significant reduction of PSA observed in subjects who received green tea catechins for 6 and 12 months, we did not find any statistical difference in PCa incidence between the experimental groups neither after 6 nor after 12 months. However, throughout the one-year follow-up we observed very limited adverse effects induced by green tea catechins and a not significant improvement in lower urinary tract symptoms and quality of life. Conclusions: Although the small number of patients enrolled in our study and the relatively short duration of intervention, our findings seems to deny the efficacy of green tea catechins. However, results of our clinical study, mainly for its low statistical strength, suggest that the effectiveness of green tea catechins should be evaluated in both a larger cohort of men and longer trial
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