Plucker-Clebsch formula in higher dimension

Let S\subset\Ps^r ($r\geq 5$) be a nondegenerate, irreducible, smooth, complex, projective surface of degree $d$. Let $\delta_S$ be the number of double points of a general projection of $S$ to \Ps^4. In the present paper we prove that $\delta_S\leq{\binom {d-2} {2}}$, with equality if and only if $S$ is a rational scroll. Extensions to higher dimensions are discussed.Comment: 12 page

Drug repurposing against COVID-19. focus on anticancer agents

The very limited time allowed to face the COVID-19 pandemic poses a pressing challenge to find proper therapeutic approaches. However, synthesis and full investigation from preclinical studies to phase III trials of new medications is a time-consuming procedure, and not viable in a global emergency, such as the one we are facing

Canonical map of low codimensional subvarieties

Fix integers $a\geq 1$, $b$ and $c$. We prove that for certain projective varieties $V\subset{\bold P}^r$ (e.g. certain possibly singular complete intersections), there are only finitely many components of the Hilbert scheme parametrizing irreducible, smooth, projective, low codimensional subvarieties $X$ of $V$ such that h^0(X,\Cal O_X(aK_X-bH_X)) \leq \lambda d^{\epsilon_1}+c(\sum_{1\leq h < \epsilon_2}p_g(X^{(h)})), where $d$, $K_X$ and $H_X$ denote the degree, the canonical divisor and the general hyperplane section of $X$, $p_g(X^{(h)})$ denotes the geometric genus of the general linear section of $X$ of dimension $h$, and where $\lambda$, $\epsilon_1$ and $\epsilon_2$ are suitable positive real numbers depending only on the dimension of $X$, on $a$ and on the ambient variety $V$. In particular, except for finitely many families of varieties, the canonical map of any irreducible, smooth, projective, low codimensional subvariety $X$ of $V$, is birational.Comment: 31 page

Biological mechanisms linked to inflammation in cancer: Discovery of tumor microenvironment-related biomarkers and their clinical application in solid tumors:

Our view of cancer biology radically shifted from a "cancer-cell-centric" vision to a view of cancer as an organ disease. The concept that genetic and/or epigenetic alterations, at the basis of cancerogenesis, are the main if not the exclusive drivers of cancer development and the principal targets of therapy, has now evolved to include the tumor microenvironment in which tumor cells can grow, proliferate, survive, and metastasize only within a favorable environment. The interplay between cancer cells and the non-cellular and cellular components of the tumor microenvironment plays a fundamental role in tumor development and evolution both at the primary site and at the level of metastasis. The shape of the tumor cells and tumor mass is the resultant of several contrasting forces either pro-tumoral or anti-tumoral which have at the level of the tumor microenvironment their battle field. This crucial role of tumor microenvironment composition in cancer progression also dictates whether immunotherapy with immune checkpoint inhibitor antibodies is going to be efficacious. Hence, tumor microenvironment deconvolution has become of great relevance in order to identify biomarkers predictive of efficacy of immunotherapy. In this short paper we will briefly review the relationship between inflammation and cancer, and will summarize in 10 short points the key concepts learned so far and the open challenges to be solved

Cancer stem cells and the slow cycling phenotype. how to cut the gordian knot driving resistance to therapy in melanoma

Cancer stem cells (CSCs) have historically been defined as slow cycling elements that are able to differentiate into mature cells but without dedifferentiation in the opposite direction. Thanks to advances in genomic and non-genomic technologies, the CSC theory has more recently been reconsidered in a dynamic manner according to a “phenotype switching” plastic model. Transcriptional reprogramming rewires this plasticity and enables heterogeneous tumors to influence cancer progression and to adapt themselves to drug exposure by selecting a subpopulation of slow cycling cells, similar in nature to the originally defined CSCs. This model has been conceptualized for malignant melanoma tailored to explain resistance to target therapies. Here, we conducted a bioinformatics analysis of available data directed to the identification of the molecular pathways sustaining slow cycling melanoma stem cells. Using this approach, we identified a signature of 25 genes that were assigned to four major clusters, namely 1) kinases and metabolic changes, 2) melanoma-associated proteins, 3) Hippo pathway and 4) slow cycling/CSCs factors. Furthermore, we show how a protein−protein interaction network may be the main driver of these melanoma cell subpopulations. Finally, mining The Cancer Genome Atlas (TCGA) data we evaluated the expression levels of this signature in the four melanoma mutational subtypes. The concomitant alteration of these genes correlates with the worst overall survival (OS) for melanoma patients harboring BRAF-mutations. All together these results underscore the potentiality to target this signature to selectively kill CSCs and to achieve disease control in melanoma

MicroRNAs in melanoma development and resistance to target therapy

microRNAs constitute a complex class of pleiotropic post-transcriptional regulators of gene expression involved in the control of several physiologic and pathologic processes. Their mechanism of action is primarily based on the imperfect matching of a seed region located at the 5' end of a 21-23 nt sequence with a partially complementary sequence located in the 3' untranslated region of target mRNAs. This leads to inhibition of mRNA translation and eventually to its degradation. Individual miRNAs are capable of binding to several mRNAs and several miRNAs are capable of influencing the function of the same mRNAs. In recent years networks of miRNAs are emerging as capable of controlling key signaling pathways responsible for the growth and propagation of cancer cells. Furthermore several examples have been provided which highlight the involvement of miRNAs in the development of resistance to targeted drug therapies. In this review we provide an updated overview of the role of miRNAs in the development of melanoma and the identification of the main downstream pathways controlled by these miRNAs. Furthermore we discuss a group of miRNAs capable to influence through their respective up- or down-modulation the development of resistance to BRAF and MEK inhibitors

Risk of SARS-CoV-2 infection and disease in metastatic triple-negative breast cancer patients treated with immune checkpoint inhibitors

Metastatic triple-negative breast cancer (mTNBC) is an aggressive disease with particularly poor outcomes [1]. Over the past few years, relevant gains in knowledge concerning the molecular landscape of this disease have allowed to considerably broaden the available therapeutic armamentarium. Poly ADP-ribose polymerase-1 inhibitors, epigenetic agents, anti-androgens, tyrosine kinase inhibitors and immune checkpoint inhibitors (ICIs) may all optimally exemplify the targeted therapeutic weapons recently gained in the fight against mTNBC [2]. Targeting of immune checkpoints through their respective monoclonal antibodies translates into effective antitumor responses not only in widely recognized ‘immunogenic’ tumor types, for example, melanoma and renal cell carcinoma, but also in other solid tumors including breast cancer [3]. PD-1 is an immune checkpoint expressed on the surface of B cells, T cells and natural killer T cells, with a critical role in modulating self tolerance, immune homeostasis and inflammation. When activated by PD-L1 or -L2, PD-1 mediates downregulation of T-cell activity, causes T-cell lysis and reduces cytokine production significantl

Site-specific integration in mammalian cells mediated by a new hybrid baculovirus-adeno-associated virus vector

Baculovirus can transiently transduce primary human and rat hepatocytes, as well as a subset of stable celllines. To prolong transgene expression, we have developed new hybrid vectors which associate key elementsfrom adeno-associated virus (AAV) with the elevated transducing capacity of baculovirus. The hybrid vectorscontain a transgene cassette composed of the !-galactosidase (!-Gal) reporter gene and the hygromycin resistance(Hygr) gene flanked by the AAV inverted terminal repeats (ITRs), which are necessary for AAV replicationand integration in the host genome. Constructs were derived both with and without the AAV rep geneunder the p5 and p19 promoters cloned in different positions with respect to the baculovirus polyheidrinpromoter. A high-titer preparation of baculovirus-AAV (Bac-AAV) chimeric virus containing the ITR–Hygr–!-Gal sequence was obtained with insect cells only when the rep gene was placed in an antisense orientationto the polyheidrin promoter. Infection of 293 cells with Bac-AAV virus expressing the rep gene results in a 10-to 50-fold increase in the number of Hygr stable cell clones. Additionally, rep expression determined the localizationof the transgene cassette in the aavs1 site in approximately 41% of cases as detected by bothSouthern blotting and fluorescent in situ hybridization analysis. Moreover, site-specific integration of the ITRflankedDNA was also detected by PCR amplification of the ITR-aavs1 junction in transduced human fibroblasts.These data indicate that Bac-AAV hybrid vectors can allow permanent, nontoxic gene delivery of DNAconstructs for ex vivo treatment of primary human cells

Synthesis and anti-hepatitis C virus activity of novel ethyl 1H-indole-3-carboxylates in vitro.

A series of ethyl 1H-indole-3-carboxylates 9a(1)(-)(6) and 9b(1)(-)(2) were prepared and evaluated in Huh-7.5 cells. Most of the compounds exhibited anti-hepatitis C virus (HCV) activities at low concentration. The selectivity indices of inhibition on entry and replication of compounds 9a(2) (>10; >16.7) and 9b(1) (>6.25; >16.7) were higher than those of the other evaluated compounds, including the lead compound Arbidol (ARB, 6; 15). Moreover, the selective index of inhibition on entry of compound 9a(3) (>6.25) was higher than that of ARB (6). Of these three initial hits, compound 9a(2) was the most poten