Electrochemical Preparation of Yttrium Hexacyanoferrate on Reduced Graphene Oxide and Its Application to Analgesic Drug Sensor

Herein, we report a template free and surfactant less electrochemical approach for the preparation of flower‐like yttrium hexacyanoferrate (YHCF) particles on reduced graphene oxide (RGO) modified glassy carbon electrode (GCE). The morphology of YHCF particles has been controlled by varying the molar ratio of Y(NO₃)₂ and K₃Fe(CN)₆ for the first time. The surface morphology of as‐prepared RGO/YHCF composite was characterized using SEM, EDX, IR and XRD methods. The electrocatalytic activity of the RGO/YHCF composite modified GCE towards Paracetamol (PA) oxidation has been investigated by using cyclic voltammetry (CV) and linear sweep voltammetry (LSV). Besides, the practical feasibility of the fabricated modified GCE has been demonstrated through the determination of PA from commercially purchased Paracetamol tablets.     

Connected graphs switching equivalent to their iterated line graphs

In this paper, the problem of determining graphs which are switching equivalent to at least one of their iterated line graphs is considered, and such connected graphs are characterized.     

Hypergraphs with cyclomatic number zero,triangulated graphs,and an inequality

A parameter μ for hypergraphs generalizing the cyclomatic number of graphs is defined. Theorem: a hypergraph has μ = 0 if and only if its edges maximal with respect to inclusion are the cliques of a triangulated graph. The equality μ = 0 immediately implies an inequality previously proved by L. Lovász and by P. Hansen and M. Las Vergnas for more restricted classes of hypergraphs.     

Correlation between metabolite ratios and ADC values of prostate in men with increased PSA level

Proton magnetic resonance spectroscopic imaging (MRSI) and diffusion-weighted imaging (DWI) were carried out in men with increased prostate-specific antigen (PSA) level. Forty subjects [controls (Group I) and patients (Groups II and III with PSA >20 and 4-20 ng/ml, respectively)] were investigated using endorectal coil at 1.5 T prior to transrectal ultrasound (TRUS)-guided biopsy. Metabolite ratio [citrate/(choline+creatine)] and apparent diffusion coefficient (ADC) were calculated for identical voxels. In patients, voxels that showed lower metabolite ratio showed reduced ADC in the peripheral zone (PZ) of the prostate, and voxels with increased metabolite ratio showed higher ADC. Metabolite ratios were used to predict areas of malignancy if the ratio was <1.4 and if ADC value was <1.17 x 10(-3) mm(2)/s. Patients in Group II had lower metabolite ratio and ADC in the PZ compared to controls and Group III. All 13 were positive for malignancy in MR, while 12 of 13 were positive on TRUS-guided sextant biopsy. In Group III, certain voxels of PZ that showed reduced metabolite ratio also showed lower ADC. A positive correlation was observed between metabolite ratio and ADC. MR predicted areas of malignancy in PZ in 15 of 20 patients; however, only six were positive on TRUS-guided biopsy perhaps due to high false-negative rate of TRUS-guided biopsy. Results show positive correlation between MRSI and DWI and their potential in detection of malignancy, thereby improving the diagnosis especially in patients with PSA level of 4-20 ng/ml.     

Syntheses of Novel 3-Substituted-2′-deoxy-3-deazauridine Nucleosides

Syntheses of novel 3-ethynyl (8), 3-vinyl (10) and 3-acetoxy (13)-2′-deoxy-3-deazauridine analogs starting from the protected 2′-deoxy-3-deazauridine derivative 4 are described.     

Spectral criterion for cycle balance in networks

A network is cycle balanced if the product of the weights (nonzero real numbers) of the lines of every cycle in it is positive. In this paper, we prove that a network D is cycle balanced if and only if its adjacency matrix is isospectral with its nonnegative counterpart. Consequent to this theorem is an analogous criterion for structural balance in sigraphs (abbreviation for “signed graphs”) as also for cycle balance in signed digraphs. These criteria establish in a natural way a wide scope for cospectrality considerations in the classes of signed digraphs and sigraphs.     

Study of Effective 2+1 Dimensional Gravity in Ferrofluid-Based Hyperbolic Metamaterials

Recent theoretical and experimental work demonstrated that nonlinear optics of ferrofluid-based hyperbolic metamaterials exhibit very unusual spatiotemporal dynamics. Here a detailed theoretical and experimental study of mutual interactions of individual self-focused optical filaments inside this metamaterial is reported. In agreement with theoretical expectations, the observed mutual interactions of individual filaments exhibit strong similarities with general relativity in 2+1 dimensions, which predicts that these interactions must have predominantly non-Newtonian topological character. This observation is important since 2+1-dimensional gravity is an exactly solvable theory even in the quantum gravity limit.