The locus of points of the Hilbert scheme with bounded regularity

In this paper we consider the Hilbert scheme $Hilb_{p(t)}^n$ parameterizing subschemes of $P^n$ with Hilbert polynomial $p(t)$, and we investigate its locus containing points corresponding to schemes with regularity lower than or equal to a fixed integer $r'$. This locus is an open subscheme of $Hilb_{p(t)}^n$ and, for every $s\geq r'$, we describe it as a locally closed subscheme of the Grasmannian $Gr_{p(s)}^{N(s)}$ given by a set of equations of degree $\leq \mathrm{deg}(p(t))+2$ and linear inequalities in the coordinates of the Pl\"ucker embedding.Comment: v2: new proofs relying on the functorial definition of the Hilbert scheme. v3: Sections reorganized, new self-contained proof of the representability of the Hilbert functor with bounded regularity (Section 6

Analysis of GPS, VLBI and DORIS input time series for ITRF2014

In this work we have compared the Up component time series reprocessed in view of the new ITRF2014. The solutions that we have considered are the combinations of individual submissions of the Operational Analysis Centers (ACs) as o- cial IVS, IGS and IDS products.We have modelled time series as discrete-time Marcov processes, we have detected and removed discontinuities from data time series and estimated trends (long term signals). A frequency analysis making research of residual periodic signals and identification of the common ones to all the three space geodetic techniques has been performed. Preliminary results on co-located sites are shown

Congruences of lines in P5\mathbb{P}^5, quadratic normality, and completely exceptional Monge-Amp\`ere equations

The existence is proved of two new families of locally Cohen-Macaulay sextic threefolds in $\mathbb{P}^5$, which are not quadratically normal. These threefolds arise naturally in the realm of first order congruences of lines as focal loci and in the study of the completely exceptional Monge-Amp\`ere equations. One of these families comes from a smooth congruence of multidegree $(1,3,3)$ which is a smooth Fano fourfold of index two and genus 9.Comment: 16 page

The Genome of the Toluene-Degrading Pseudomonas veronii Strain 1YdBTEX2 and Its Differential Gene Expression in Contaminated Sand.

The natural restoration of soils polluted by aromatic hydrocarbons such as benzene, toluene, ethylbenzene and m- and p-xylene (BTEX) may be accelerated by inoculation of specific biodegraders (bioaugmentation). Bioaugmentation mainly involves introducing bacteria that deploy their metabolic properties and adaptation potential to survive and propagate in the contaminated environment by degrading the pollutant. In order to better understand the adaptive response of cells during a transition to contaminated material, we analyzed here the genome and short-term (1 h) changes in genome-wide gene expression of the BTEX-degrading bacterium Pseudomonas veronii 1YdBTEX2 in non-sterile soil and liquid medium, both in presence or absence of toluene. We obtained a gapless genome sequence of P. veronii 1YdBTEX2 covering three individual replicons with a total size of 8 Mb, two of which are largely unrelated to current known bacterial replicons. One-hour exposure to toluene, both in soil and liquid, triggered massive transcription (up to 208-fold induction) of multiple gene clusters, such as toluene degradation pathway(s), chemotaxis and toluene efflux pumps. This clearly underlines their key role in the adaptive response to toluene. In comparison to liquid medium, cells in soil drastically changed expression of genes involved in membrane functioning (e.g., lipid composition, lipid metabolism, cell fatty acid synthesis), osmotic stress response (e.g., polyamine or trehalose synthesis, uptake of potassium) and putrescine metabolism, highlighting the immediate response mechanisms of P. veronii 1YdBTEX2 for successful establishment in polluted soil

Evaluation of the impact of heat-wave on distribution system resilience

This paper addresses the impact of heat waves on a real urban distribution system. A data-driven methodology is proposed to simulate the portion of faults that can be associated to normal conditions (and hence to reliability) and the portion correlated to the heat wave occurrence. Based on real data collected in the years 2012-2017, the fault rates associated to reliability and resilience have been calculated and then used to feed a Monte Carlo simulation aiming to manage the uncertainty in the fault occurrence. Finally, based on the Italian legislation, the avoided costs deriving by the substitution of the faulted portion of the system have been calculated. The results show the different nature of reliability and resilience in terms of empirical cumulative curve, suggesting the necessity of using a stochastic-based methodology within regulatory frameworks, especially in case of output-based regulation

Role of IL-6 in Rett syndrome: from in vitro findings to in vivo therapeutic target validation

Rett syndrome (RTT) is a neurodevelopmental disorder caused by mutations in the X-linked MECP2 gene, characterized by motor dysfunction, respiratory abnormalities and cognitive deficits. To date, no cure is available. At the cellular level, RTT is characterized by morphological and functional synaptic defects which are in part attributed to non-cell autonomous mechanisms mainly mediated by astrocytes. We have demonstrated that Mecp2 knock-out astrocytes fail to sustain synaptogenesis in wild-type neurons, and this impairment is associated with an excessive release of interleukin 6 (IL-6). Notably, blocking IL-6 prevents synaptic alterations, suggesting the possibility to target this cytokine for therapeutic purposes. My study aims to extend in vitro findings moving to in vivo validation and exploring IL-6 as a therapeutic target in Mecp2 heterozygous (HET) mice. We thus analyzed IL-6 expression in the brain of HET animals along disease progression, finding an IL-6 increase in symptomatic mice. To establish whether IL-6 overexpression is limited to Mecp2- cells, we took advantage of the Mecp2/EGFP model. Further, we started testing whether IL-6 blockade restores synaptic integrity and improves neurological function in RTT animals. By clarifying IL-6's role in RTT and evaluating its therapeutic potential, this study could pave the way for novel treatments

My Health Diary, a School-Based Well-Being Program: A Randomized Controlled Study.

Background: A positive transition to adulthood entails developing the individual and social skills needed to cope with critical situations. The “My Health Diary” program was designed as a school-based and teacher-led intervention focusing on the active engagement of 12- to 13-year-old pre-adolescents. The study analyzes the role of several primary variables (psychological well-being, psychosomatic symptoms, health status), secondary variables (health-risk behaviors, prosocial behavior, academic success, physical and verbal aggression), and mediator variables of emotional and social skills in terms of empathic and social self-efficacy, and satisfaction with school. Methods: Sixty schools were involved, divided into control groups (N = 29) and intervention groups (N = 31). The program was administered only to the intervention group. Of the 2306 students at the baseline, 2078 were still involved at post-intervention 6 months later. Results: The program was not found to have significant effects on the primary outcome variables and most of the secondary variables. For the mediators, however, the association was stronger for the girls in the intervention group, and there was a statistically significant difference in the empathic skills shown by girls, who reported higher levels than boys. Conclusions: The program was found to have encouraging effects on some mediators and in enhancing socio-relational and emotional skills among pre-adolescents