1,852 research outputs found
Supporting evidences for potential biomarkers of endometriosis detected in peripheral blood
No full textAbstractIncidence of endometriosis is very high in women in the reproductive age (around 10%). To date, a reliable non-invasive diagnostic test for early diagnosis of endometriosis is not available. In this article we describe the potential value as diagnostic markers for endometriosis of two proteins (serum albumin and complement C3 precursor), previously identified as differentially expressed in women with endometriosis respect to healthy control by 2D gel analysis. A detailed description of the results obtained with this proteomic approach can be found in Signorile and Baldi [1]. ELISAs were performed on a large cohort of endometriosis (n=100) and healthy patients (n=10) to establish the differential expression of the identified proteins. ROC analyses confirmed the statistical significance of the differential expression of these proteins: serum albumin (p=0.028) ad complement C3 precursor (p=0.082). Evaluation of these two proteins, together with the already described Zn-alpha2-glycoprotein [1], could help in the early identification of endometriosis patient
Exact controllability for quasilinear perturbations of KdV
No full textWe prove that the KdV equation on the circle remains exactly controllable in arbitrary time with localized control, for sufficiently small data, also in the presence of quasilinear perturbations, namely nonlinearities containing up to three space derivatives, having a Hamiltonian structure at the highest orders. We use a procedure of reduction to constant coefficients up to order zero (adapting a result of Baldi, Berti and Montalto (2014)), the classical Ingham inequality and the Hilbert uniqueness method to prove the controllability of the linearized operator. Then we prove and apply a modified version of the Nash–Moser implicit function theorems by Hörmander (1976, 1985)
Pietro Verri’s Contribution to the Economic Theory of the 18th Century: Commercial Society, Civil Society and Governance of the Economy
No full text'Count Pietro Verri (1728-97) - Schumpeter writes (History, p. 178) - - would have to be included in any list of the greatest economists'. Within the Milanese school, he certainly stands out, alongside with Cesare Beccaria, during one of the most interesting periods from a history of analysis point of view. Luigi Cossa's famous introduction to the study of political economy rates Pietro Verri to be inferior to Beccaria in ingenuity and scientific cultivation, but greatly to be ahead of him as an economist.1 This judgement by Cossa, in particular, seems to echo the relative position of the two men in the history of ideas, particularly after Beccaria's rise to fame with a book - On crimes and punishments - which had in fact been largely inspired by Verri himself and defended by him.2 It is proposed in the present paper to revisit some of the basic tenets of Pietro Verri's political economy, with more in view than dwell on specific intuitions and theorems: namely relate those to Verri's own - quite original - conception of the economy. The scholarly work of Pietro Verri - with a special reference to his Meditazioni sulla economia politica of 1771 - provides the first systematic contribution stemming from the quarters of Lombard enlightenment in the field of political economy, especially so if one considers that Cesare Beccaria's parallel work - namely his Elementi di economia pubblica, conceived and drafted at the same time as Verri's Meditazioni - would only be published posthumously several years later. From the vantage point afforded by Verri's political economy, we gain a considerably attractive view of the most significant elements and characteristic concepts of Lombard enlightenment during the latter half of the 18th century; Verri, moreover, as we shall see, builds on a number of them in a new and original way. This paper is aimed at discussing Verri's political economy mainly along two distinct, but related, lines. In the first place the conception of commercial society is considered such as it is treated by the author particularly in his Meditazioni. In this perspective the analysis of such issues as competition and the market or money and taxation occupy a central place. Secondly it will be necessary to emphasise that Verri's approach has little to do either with forms of pure economics on one side - largely yet to be born throughout the 18th century - or, on the other side, with such conceptions of the polis - contrariwise well alive among his own contemporaries - as are founded on a sovereign authority conceived to be situated above the law. What Verri's political economy ultimately amounts to is an economic conception of civil society. The latter has natural strong connections with his own fact-mindedness - emphasised by Schumpeter - as well as with his deep practical involvement in administrative affairs and in the reforming process taking place during the latter half of the 18th century in Milan. In our view, a thorough investigation along the mentioned lines is the precondition for an understanding of the intellectual stature and of the scholarly contribution of Pietro Verri. His main ground is distinctly analytical and only by appreciating his analysis is it possible to shed light on the meaning and intellectual significance also of his practical contributions. Moreover Verri's pronouncements on the criticism of despotic government, the relevance of intermediate powers or bodies and on multiple levels of governance will be examined in a new and original light, showing how close they are to the gist of his analysis.
Experimental image dataset for validation of the noise-induced bias that affects Digital Image Correlation
No full textThe present article shares with the scientific community several image sets used for experimentally validating the noise-induced bias on different Digital Image Correlation (DIC) formulations, as reported in Baldi et al. [1]. These sets are provided with a description of the experimental setup used for image acquisition. The basic idea is to acquire a series of images obtained by rigidly translating the target, where incremental displacement is of the order of a small fraction of a pixel. This condition requires a high-precision control of the target position through the tests. Moreover, the noise content of each image set is modulated using a statistical approach that uncouples the intensity field from the standard deviation. Lastly, the images are acquired with different exposure conditions to analyze the gray tone gradient effect on noise-induced bias
Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type
No full textWe prove the existence of time-periodic, small amplitude solutions of autonomous quasilinear or fully nonlinear completely resonant pseudo-PDEs of Benjamin-Ono type in Sobolev class. The result holds for frequencies in a Cantor set that has asymptotically full measure as the amplitude goes to zero. At the first order of amplitude, the solutions are the superposition of an arbitrarily large number of waves that travel with different velocities (multimodal solutions). The equation can be considered as a Hamiltonian, reversible system plus a non-Hamiltonian (but still reversible) perturbation that contains derivatives of the highest order. The main difficulties of the problem are: an infinite-dimensional bifurcation equation, and small divisors in the linearized operator, where also the highest order derivatives have nonconstant coefficients. The main technical step of the proof is the reduction of the linearized operator to constant coefficients up to a regularizing rest, by means of changes of variables and conjugation with simple linear pseudo-differential operators, in the spirit of the method of Iooss, Plotnikov and Toland for standing water waves (ARMA 2005). Other ingredients are a suitable Nash-Moser iteration in Sobolev spaces, and Lyapunov-Schmidt decomposition
Nearly toroidal, periodic and quasi-periodic motions of fluid particles driven by the Gavrilov solutions of the Euler equations
No full textWe consider the smooth, compactly supported solutions of the steady 3D Euler equations of incompressible fluids constructed by Gavrilov in 2019, and we study the corresponding fluid particle dynamics. This is an ode analysis, which contributes to the description of Gavrilov's vector field
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