Measures in Euclidean Point-Free Geometry (an exploratory paper)

We face with the question of a suitable measure theory in Euclidean point-free geometry and we sketch out some possible solutions. The proposed measures, which are positive and invariant with respect to movements, are based on the notion of infinitesimal masses, i.e. masses whose associated supports form a sequence of finer and finer partitions

Defining Measures in a Mereological Space (an exploratory paper)

We explore the notion of a measure in a mereological structure and we deal with the difficulties arising. We show that measure theory on connection spaces is closely related to measure theory on the class of ortholattices and we present an approach akin to Dempster’s and Shafer’s. Finally, the paper contains some suggestions for further research

Inclusions of characterized subgroups

A subgroup H of R is characterized if H=tau_R:={x in R: u_n x --> 0 mod Z} for some sequence u in R. Given two sequences u and v in R, we find conditions under which tau_u(R) is contained or not in tau_v(R). As a by-product of our main theorems, we find a known result by Elias on inclusions of characterized subgroups of T, motivated by problems in harmonic analysis

Dirichlet sets vs Characterized subgroups

A subset A of the circle group T is a Dirichlet set if there exists an increasing sequence u = (un) n 08N 0 in N such that unx \u2192 0 uniformly on A. In particular, A is contained in the subgroup tu(T) := {x 08 T : unx \u2192 0}, which is the subgroup of T characterized by u. Using strictly increasing sequences u in N such that un divides un+1 for every n 08 N, we find in T a family of closed perfect D-sets that are also Cantor-like sets. Moreover, we write T as the sum of two closed perfect D-sets. As a consequence, we solve an open problem by showing that T can be written as the sum of two of its proper characterized subgroups, i.e., T is factorizable. Moreover, we describe all countable subgroups of T that are factorizable and we find a class of uncountable characterized subgroups of T that are factorizable

Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities

In this manuscript we characterize the completeness of a normed space through the strong lacunary (N-theta) and lacunary statistical convergence (S-theta) of series. A new characterization of weakly unconditionally Cauchy series through N-theta and S-theta is obtained. We also relate the summability spaces associated with these summabilities with the strong p-Cesaro convergence summability space

Clinical features and metabolic complications for non-alcoholic fatty liver disease (NAFLD) in youth with obesity

Pediatric obesity has become in the last forty years the most common metabolic disease in children and adolescents affecting about 25% of the pediatric population in the western world. As obesity worsens, a whole-body insulin resistance (IR) occurs. This phenomenon is more pronounced during adolescence, when youth experience a high degree of insulin resistance due the production of growth hormone. As IR progresses, the blunted control of insulin on adipose tissue lipolysis causes an increased flux of fatty acids with FFA deposition in ectopic tissues and organs such as the liver, leading to the development of NAFLD. In this brief review, we will discuss the clinical implications of IR and NAFLD in the context of pediatric obesity. We will review the pathogenesis and the link between these two entities, the major pathophysiologic underpinnings, including the role of genetics and metagenomics, how these two entities lead to the development of type 2 diabetes, and which are the therapeutic options for NAFLD in youth

DEVELOPMENT OF A NOVEL METHOD FOR AMNIOTIC FLUID STEM CELL STORAGE

Background - Current procedures for collection of human Amniotic Fluid Stem Cells (hAFSCs) imply that amniotic fluid cells were cultured in flask for two weeks, than can be devoted to research purpose. However, hAFSCs could be retrieved directly from a small amount of amniotic fluid that can be obtained at the time of diagnostic amniocentesis. The aim of the study was to verify if a direct freezing of amniotic fluid cells is able to maintain and / or improve the potential of the sub-population of stem cells. Methods - We compared the potential of the hAFSCs depending on the moment in which they are frozen, cells obtained directly from amniotic fluid aspiration (D samples) and cells cultured in flask before freezing (C samples). Colony-forming-unit ability, proliferation, morphology, stemness-related marker expression, senescence, apoptosis, and differentiation potential of C and D samples were compared. Results - hAFSCs isolated from D samples expressed MSC markers until later passages, had a good proliferation rate, and exhibited differentiation capacity similar to hAFSCs of C samples. Interestingly, the direct freezing induce a higher concentration of cells positive for pluripotency stem cell markers, without teratoma formation in vivo. Conclusions - This study suggests that minimal processing may be adequate for the banking of amniotic fluid cells, avoiding in vitro passages before the storage and exposure to high oxygen concentration affecting stem cell properties. This technique might be a reasonable approach in terms of costs and for the process of accreditation in GMP for a stem cell bank

A Probable Fatal Case of Oleander (Nerium oleander) Poisoning on a Cattle Farm: A New Method of Detection and Quantification of the Oleandrin Toxin in Rumen

Oleander (Nerium oleander) is an ornamental plant common in tropical and sub-tropical regions that is becoming increasingly widespread, even in temperate regions. Oleander poisoning may occur in animals and humans. The main active components contained in the plant are cardiac glycosides belonging to the class of cardenolides that are toxic to many species, from human to insects. This work describes a case of oleander poisoning that occurred on a small cattle farm and resulted in the fatality of all six resident animals. Furthermore, the investigation of the poisonous agent is described, with particular focus on the characterization of the oleandrin toxin that was recovered from the forage and rumen contents. The innovation of this study is the first description of the detection and quantification of the oleandrin toxin by liquid chromatography-high resolution mass spectrometry (LC-HRMS) in rumen

Addendum: Impact of BMI on the outcome of metastatic breast cancer patients treated with everolimus: a retrospective exploratory analysis of the BALLET study.

peer reviewe

Structure-based design of an urokinase-type plasminogen activator receptor–derived peptide inhibiting cell migration and lung metastasis

The urokinase-type plasminogen activator receptor (uPAR) plays a central role in sustaining the malignant phenotype and promoting tumor metastasis. The Ser88-Arg-Ser-Arg-Tyr92 is the minimum chemotactic sequence of uPAR required to induce the same intracellular signaling as its ligand uPA. Here, we describe the generation of new peptide inhibitors of cell migration and invasion derived from SRSRY by a drug design approach. Ac-Arg-Glu-Arg-Phe-NH2 (i.e., RERF), which adopts a turned structure in solution, was selected for its ability to potently prevent SRSRY-directed cell migration. Fluorescein-RERF associates with very high affinity to RBL-2H3 rat basophilic leukemia cells expressing the human formyl peptide receptor (FPR). Accordingly, femtomolar concentrations of RERF prevent agonist-dependent internalization of FPR and inhibit N-formyl-Met-Leu-Phe–dependent migration in a dose-dependent manner. In the absence of FPR, fluorescein-RERF binds to cell surface at picomolar concentrations in an αv integrin–dependent manner. The involvement of vitronectin receptor is further supported by the findings that 100 pmol/L RERF selectively inhibits vitronectin-dependent RBL-2H3 cell migration and prevents SRSRY-triggered uPAR/αv association. Furthermore, RERF reduces the speed of wound closure and the extent of Matrigel invasion by human fibrosarcoma HT1080 cells without affecting cell proliferation. Finally, a 3- to 5-fold reduction of lung metastasis number and size in nude mice following i.v. injection of green fluorescent protein–expressing HT1080 cells in the presence of 3.32 mg/kg RERF is observed. Our findings indicate that RERF effectively prevents malignant cell invasion in vivo with no signs of toxicity and may represent a promising prototype drug for anticancer therapy