A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime

We consider bounded solutions of the nonlocal Allen-Cahn equation (-\Delta)^s u=u-u^3\qquad{\mbox{ in }}{\mathbb{R}}^3, under the monotonicity condition $\partial_{x_3}u>0$ and in the genuinely nonlocal regime in which~$s\in\left(0,\frac12\right)$. Under the limit assumptions \lim_{x_n\to-\infty} u(x',x_n)=-1\quad{\mbox{ and }}\quad \lim_{x_n\to+\infty} u(x',x_n)=1, it has been recently shown that~$u$ is necessarily $1$D, i.e. it depends only on one Euclidean variable. The goal of this paper is to obtain a similar result without assuming such limit conditions. This type of results can be seen as nonlocal counterparts of the celebrated conjecture formulated by Ennio De Giorgi

Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities

We give pointwise gradient bounds for solutions of (possibly non-uniformly) elliptic partial differential equations in the entire Euclidean space. The operator taken into account is very general and comprises also the singular and degenerate nonlinear case with non-standard growth conditions. The sourcing term is also allowed to have a very general form, depending on the space variables, on the solution itself, on its gradient, and possibly on higher order derivatives if additional structural conditions are satisfied

A 4.5 ps precision TCSPC system: design principles and characterization

With the recent advancements in single-photon detectors, very low-jitter timing systems are required to fully exploit their performance in real applications. In this article, we present the design principles and experimental characterization of a single-channel time-correlated single-photon counting (TCSPC) system, that achieves a jitter down to 4.5 ps FWHM, a peak-to-peak differential nonlinearity of 1.5 % LSB and a count rate of 12 Mcps over a nanoseconds full-scale range. These results have been attained by minimizing the different jitter contributions that are introduced at various levels in the whole timing chain, still without trading them off with the other performance parameters. To the best of our knowledge, this work represents the state-of-the-art performance in case of a full-scale range as large as 12.5 ns

A 1.9 ps-rms Precision Time-to-Amplitude Converter With 782 fs LSB and 0.79%-rms DNL

Measuring a time interval in the nanoseconds range has opened the way to 3-D imaging, where additional information as distance of objects light detection and ranging (LiDAR) or lifetime decay fluorescence-lifetime imaging (FLIM) is added to spatial coordinates. One of the key elements of these systems is the time measurement circuit, which encodes a time interval into digital words. Nowadays, most demanding applications, especially in the biological field, require time-conversion circuits with a challenging combination of performance, including sub-ps resolution, ps precision, several ns of measurement range, linearity better than few percent of the bin width (especially when complex lifetime data caused by multiple factors have to be retrieved), and operating rates in the order of tens of Mcps. In this article, we present a time-to-amplitude converter (TAC) implemented in a SiGe 350 nm process featuring a resolution of 782 fs, a minimum timing jitter as low as 1.9 ps-rms, a DNL down to 0.79% LSB-rms, and conversion rate as high as 12.3 Mcps. With an area occupation of 0.2 mm2 [without PADs and digital-to-analog converter (DAC)], a FSR up to 100 ns, and a power dissipation of 70 mW, we developed a circuit suitable to be the core element of a densely integrated, faster and high-performance system

Serum Thymus and Activation-Regulated Chemokine Level Monitoring May Predict Disease Relapse Detected by PET Scan after Reduced-Intensity Allogeneic Stem Cell Transplantation in Patients with Hodgkin Lymphoma

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Barriers, motivators and facilitators of physical activity in people with dementia and their family carers in England: dyadic interviews

Introduction: Physical activity may have a number of physical and mental health benefits for people with dementia and their carers. However, there is limited evidence about factors that influence physical activity participation in these groups. This study therefore looks at the barriers, facilitators and motivators of physical activity in people with dementia, from both the perspective of the person with dementia and their carer. Method: Thirty participants (15 sets of community-dwelling people with dementia and their family carers) were recruited from the South East of England. The participants took part in semi-structured dyadic interviews about their views of physical activity. Interviews were analysed using inductive thematic analysis at an individual level and comparisons were made between the groups. Results: Common motivator themes across persons with dementia and family carers were emotional and physical wellbeing, and social connectedness. Physical health was seen as a common barrier in both groups. Physical activity in the person with dementia was encouraged and supported by the family carer. For the carer, their caring role, and limited time acted as barriers to their participation. Conclusion: Themes such as social connectedness, positive emotion and health were seen as key motivators to physical activity, which indicate that people with dementia and carers use physical activity as a means to maintain and improve their quality of life. Supporting family members to better facilitate such activities could encourage physical activity in people with dementia

Short test evaluation of the anti-wrinkles efficacy of topical adhesive pads

Introduction. In the last decades, in dermo-cosmetic field, a lot of cosmetic products, invasive treatments and medical devices were popping up to improve aged skin. Recently several cheap and innovative products called anti-wrinkle pad adhesive appeared but their efficiency against winkles is not really certain. Theoretically this product is intended to reduce local muscular contraction getting a reduction of the existing winkles and forming new dynamical winkles. Commercial advertisements claims that the utilization of pads can temporarily delete winkles with just an application and last longer with a continuous application. A recent study demonstrated that using this product for a month don’t have any positive effect on forehead wrinkles but still not demonstrate if this pad have the real ability to temporarily reduce wrinkles (Ryan 2009). For this reason this work focus on the efficiency of this pad in crow’s feet temporarily reduction. Materials and Methods. The anti-wrinkles efficiency was valued on 20 volunteers at baseline and 15, 30, 60 minutes after short time (30 minutes) application of the anti?wrinkles pad using Cutometer MPA580® (Courage + Khazaka Electronic GmbH, Köln, Germany) and siliconic replica technique analized with SEM FEI Quanta 200 in low vacuum and profilometric analysis software 3D MEX® (Alicona Imaging, Graz, Austria). Pads are made out of plastic with a vertical strong support fixed at a soft membrane covered by adhesive gel made by emollient and anti-wrinkles materials. Roughness and elasticity differences on values after pads application were valued using analysis of variance (ANOVA). Results. The short time application of the pad caused a relevant reduction of all roughness standards parameters (Ra, Rt, Rz, Rp, Rv) till 15 minutes after the treatment (p <0,001). These changes not happened in the contralateral area (non treatment control test). Within 30 minutes after the treatment, all roughness parameters reverted to normal baseline values. Analysing the elastometric measure average, it was not noticed any relevant standards changes (R0, R5, R6 e R7) after the treatment. Conclusions. Finally results obtained demonstrate that the sporadically application for 30 minutes of anti-wrinkle pad have the capacity to stretch temporarily the skin. Ryan WR, Most SP. A Prospective Evaluation of the Efficacy of Topical Adhesive Pads for the Reduction of Facial Rhytids. Arch Facial Plast Surg. 2009 Jul-Aug;11(4):252-6

A targeted approach to genetic counseling in breast cancer patients: the experience of an Italian local project.

Aims and backgroundPatients with hereditary breast cancer (BC) may benefit from genetic counseling and testing for detection of causative mutations, definition of therapeutic and preventive strategies, and identification of at-risk relatives. Italy has few oncogenetic centers and genetic evaluation of all patients with BC is not feasible. Moreover, lack of uniformity in the selection of patients generates inappropriate referral to the geneticist. We designed a model that may represent a reproducible way to select patients at risk for hereditary BC, with the aims of rationalizing access to genetic centers and improving clinical management and surveillance.MethodsThe genetic unit of a Cancer Center and the Departments of Oncology from 2 public Hospitals in Milan were involved in the project. After training sessions at the genetic unit, operators from the 2 hospitals evaluated all patients with BC attending a first oncologic visit, through a specific interview. Patients considered at risk of hereditary BC at..

Impact of the Donor KIR Genotype on the Clinical Outcome of Hematopoietic Stem Cell Unrelated Transplants: A Single Center Experience

In recent years, the anti-leukemic potential of Natural Killer (NK) cells and their role in hematologic malignancies and in Hematopoietic Stem Cell Transplants (HSCT) has attracted greater interest and a recent study by Cooley S. et al. showed a better clinical outcome when patients with Acute Myeloid Leukemia received a transplant from unrelated Group B KIR haplotypes donors. As a consequence of these results, an algorithm called “KIR B-content score” was formulated. The aim of our research is a retrospective analysis of HSC unrelated transplants performed in our center to analyze the effect of the donor KIR B status on the clinical-outcome. Our results showed a better overall survival-rate in the AML recipients, HLA mismatched with the donor, when the donor KIR B content status is Best/Better (37% vs 18% at three years P=0,028). Moreover, we observed that AML recipients, whose Donors KIR B status was Best/Better, had more incidence of aGvHD grade I and II than patients whose Donors KIR B status was Neutral (70% vs 26%) and also a lower rate of relapse (36% vs 58%) and a better Disease Free Survival-rate (58% vs 38% at three years P=0,1) because of a better GvL effect