Local indistinguishability: more nonlocality with less entanglement

We provide a first operational method for checking local indistinguishability of orthogonal states. It originates from that in Ghosh et al. [Phys. Rev. Lett. 87, 5807 (2001)]], though we deal with pure states. Our method shows that probabilistic local distinguishing is possible for a complete multipartite orthogonal basis if and only if all vectors are product. Also, it leads to local indistinguishability of a set of orthogonal pure states of 3 multiply sign in circle 3, which shows that one can have more nonlocality with less entanglement, where "more nonlocality" is in the sense of "increased local indistinguishability of orthogonal states." This is, to our knowledge, the only known example where d orthogonal states in d multiply sign in circle d are locally indistinguishable.     

On powers of graphs of bounded NLC-width (clique-width)

Given a graph G, the graph G^l has the same vertex set and two vertices are adjacent in G^l if and only if they are at distance at most l in G. The l-coloring problem consists in finding an optimal vertex coloring of the graph G^l, where G is the input graph. We show that, for any fixed value of l, the l-coloring problem is polynomial when restricted to graphs of bounded NLC-width (or clique-width), if an expression of the graph is also part of the input. We also prove that the NLC-width of G^l is at most 2(l+1)^nlcw(G).     

A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy

In this paper we develop a new efficient and stable Lagrangian numerical method for computing the evolution of 3D curves driven in the normal plane by a driving force and curvature. This new method contains asymptotically uniform tangential redistribution of grid points designed originally for 3D curve evolution in this paper which makes our computations stable and is crucial for the presented application. Together with the design of new tangentially stabilized algorithm for 3D evolving curves, we develop a new method for the fully automatic finding of the optimal trajectory of the camera in the virtual colonoscopy. The proposed method consists of three steps: 3D segmentation of the colon from CT images, finding an initial trajectory guess inside the segmented 3D subvolumes, and driving the initial 3D curve to its optimal position. To that goal, a suitable intrinsic advection-diffusion partial differential equation with a driving force is designed and solved numerically in fast and robust way in order to find a smooth uniformly discretized 3D curve representing the ideal path of the camera in the virtual colonoscopy.     

An analysis of nonlinear normal contact microvibrations excited by a harmonic force

This paper presents the results of numerical investigations of nonlinear normal contact microvibrations excited by a harmonic force in a system of two bodies in planar contact that models the slideway connections of machine tools. The aim of the computation analysis was to determine the plots of the forced vibrations as a function of frequency and amplitude and to study the resonances taking place in the system. The studies showed that beside the main resonance, at exciting frequencies lower than the natural frequency (f _w < f _o ), a number of interesting phenomena can occur in the investigated system such as: high amplitude vibration with complex motion, resonance peaks, amplitude jumps, bifurcations, and chaotic vibrations.     

General Synthesis of Phosphatidylinositol Phosphates

Abstract

A general method for synthesis of 3-phosphorylated phosphatidylinositols is described.

Phosphatidylinositol (PI) and phosphatidylinositol phosphates (PIP_n), such as PI-4-P, PI-4,5-P₂ undergo receptor-mediated cleavage by phosphatidylinositol-specific phospholipase C, and are precursors of second messengers important in diverse cellular signaling pathways. In contrast, the 3-phosphorylated phosphatidylinositols, such as PI-3-P (1), PI-3,4-P₂ (2) and PI-3,4,5-P₃ (3), which are formed in response to signals of growth factors, are resistant to hydrolysis by this enzyme, and their cellular function is only beginning to emerge [1,2]. These compounds are formed in minute quantities, and therefore have to be synthesized for many practical applications.     

Novel 1,2,3-Triazole Derivatives as Mimics of Steroidal System—Synthesis,Crystal Structures Determination,Hirshfeld Surfaces Analysis and Molecular Docking

Herein, we present the synthesis and crystal structures determination of five 4-(1-phenyl-1H-1,2,3-triazol-4-yl)phenol derivatives containing halogen atoms, 6a–e, which may be used as an excellent mimic of steroids in the drug development process. Good quality crystals obtained for all of the synthesized compounds allowed the analysis of their molecular structures. Subsequently, the determined crystal structures were used to calculate the Hirshfeld surfaces for each of the synthesized compounds. Furthermore, results of our docking studies indicated that synthesized derivatives are able to bind effectively to the active sites of selected enzymes and receptors involved in the hormone biosynthesis and signaling pathways, analogously to the native steroids.     

Pyrazolo[4,3-e]tetrazolo[1,5-b][1,2,4]triazine Sulfonamides as Novel Potential Anticancer Agents: Cytotoxic and Genotoxic Activities In Vitro

In this paper, we present for the first time the evaluation of cytotoxicity and genotoxicity of de novo synthesized pyrazolo[4,3-e]tetrazolo[1,5-b][1,2,4]triazine sulfonamides MM129, MM130, and MM131 in human tumor cell lines: HeLa, HCT 116, PC-3, and BxPC-3. Cytotoxic and genotoxic properties of the tested compounds were estimated using the MTT assay, comet assay (alkaline and neutral version), and γ-H2AX immuno-staining. Examined sulfonamides exhibited strong anticancer properties towards tested cells in a very low concentration range (IC₅₀ = 0.17–1.15 μM) after 72 h exposure time. The results of the alkaline and neutral version of the comet assay following 24 h incubation of the cells with tested compounds demonstrated the capability of heterocycles to induce significant DNA damage in exposed cells. HCT 116 cells were the most sensitive to the genotoxic activity of novel tricyclic pyrazolo[4,3-e]tetrazolo[1,5-b][1,2,4]triazine sulfonamides in the neutral version of the comet assay. Immunocytochemical detection of γ-H2AX showed an increase in DNA DSBs level in the HCT 116 cell line, after 24 h incubation with all tested compounds, confirming the results obtained in the neutral comet assay. Among all investigated compounds, MM131 showed the strongest cytotoxic and genotoxic activity toward all tested cell types. In conclusion, our results suggest that MM129, MM130, and MM131 exhibit high cytotoxic and genotoxic potential in vitro, especially towards the colorectal cancer cell line HCT 116. However, further investigations and analyses are required for their future implementation in the field of medicine.