The second regularized trace of differential operator equation with the semi‐periodic boundary conditions

In this paper, we have obtained the second regularized trace formula for the differential operator equation with the semi‐periodic boundary conditions. Copyright © 2012 John Wiley & Sons, Ltd.     

Spectrophotometric determination of total inorganic arsenic with hexamethylene ammonium-hexamethylenedithiocarbamate in nonionic triton X-100 micellar media

We have developed a cost-effective and sensitive spectrophotometric method for the determination of arsenic at trace level using a new reagent, hexamethylene ammonium-hexamethylenedithiocarbamate (HMA-HMDTC). Here we show that arsenic reacts with HMA-HMDTC in acidic conditions to yield the As(HMDTC)₃ complex. We studied the Beer’s law at 256 nm, which showed linearity over the concentration range 0.2–1.0 μg/mL of arsenic. We have shown that molar absorptivity, Sandell’s sensitivity and the detection limit of the method are 6.06 × 10⁴ L/mol cm, 0.0012 μg/cm² and 0.060 μg/mL, respectively. We have applied this new method to the determination of arsenic in drinking water.     

Synthesis of novel ferrocenyl-containing pyrazolo[4,3-c]quinolines

Synthesis of novel ferrocenyl-substituted pyrazolo[4,3-c]quinolines via the Pictet-Spengler reaction is reported. Iminium intermediate formed by the condensation of pyrazole-based arylamine substrates with ferrocenecarboxaldehyde in acidic medium, undergoes 6-endo cyclization with sufficiently reactive aromatic moiety to form a pyrazolo[4,3-c]quinoline ring.     

Synthesis and evaluation of new phosphonic acid‐functionalized acrylamides with potential biomedical applications

Phosphorus‐containing acidic monomers are able to interact with the inorganic phase of mineralized tissues such as enamel, dentin, and bone. From this perspective, three phosphonic acid‐containing acrylamide monomers with different lengths of alkyl chains were synthesized to be used for both self‐etching dental adhesives and mineralized hydrogel scaffolds. Monomers were synthesized by the reaction of α‐aminophosphonates (diethyl aminomethylphosphonate, diethyl 2‐aminobutan‐2‐ylphosphonate, and diethyl 2‐aminooctan‐2‐ylphosphonate) with acryloyl chloride followed by the hydrolysis of phosphonate groups by using trimethylsilyl bromide. The properties such as pH in the range of mild self‐etching adhesives, hydrolytic stability, high rate of copolymerizations with 2‐hydroxyethyl methacrylate (HEMA) and HEMA/glycerol dimethacrylate, giving high‐molecular‐weight polymers on thermal polymerization, and strong decalcification ability of hydroxyapatite make these monomers good candidates for self‐etching adhesives, although no appreciable effect of the number and size of the α‐substituents was observed. Hydrogel scaffolds containing phosphonic acid groups were fabricated, characterized, and mineralized. Altogether, the results suggest that these phosphonic acid‐containing monomers have suitable properties to be used in fabrication of biomaterials for both dental and bone tissue engineering applications. © 2015 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2015 , 53, 2755–2767     

A new VRPPD model and a hybrid heuristic solution approach for e-tailing

We analyze a business model for e-supermarkets to enable multi-product sourcing capacity through co-opetition (collaborative competition). The logistics aspect of our approach is to design and execute a network system where “premium” goods are acquired from vendors at multiple locations in the supply network and delivered to customers. Our specific goals are to: (i) investigate the role of premium product offerings in creating critical mass and profit; (ii) develop a model for the multiple-pickup single-delivery vehicle routing problem in the presence of multiple vendors; and (iii) propose a hybrid solution approach. To solve the problem introduced in this paper, we develop a hybrid metaheuristic approach that uses a Genetic Algorithm for vendor selection and allocation, and a modified savings algorithm for the capacitated VRP with multiple pickup, single delivery and time windows (CVRPMPDTW). The proposed Genetic Algorithm guides the search for optimal vendor pickup location decisions, and for each generated solution in the genetic population, a corresponding CVRPMPDTW is solved using the savings algorithm. We validate our solution approach against published VRPTW solutions and also test our algorithm with Solomon instances modified for CVRPMPDTW.     

Fullerene containing norbornenes: synthesis and ring-opening metathesis polymerization

New norbornenes with the covalently bonded fullerene C₆₀ have been prepared as monomers for ring-opening metathesis polymerization. Under the Grubbs catalyst these monomers smoothly enter homopolymerization as well as co-polymerization reactions with the parent ‘non-fullerene’ monomers. Homopolymers are insoluble in organic solvents whereas co-polymers obtained by 1:1 co-polymerization of the norbornenes with their ‘non-fullerene’ analogues are well soluble.     

Binding of Fluorescein Isothiocyanate to Insulin: A Fluorimetric Labeling Study

The determination of the fluorophore to the protein molar ratio has been studied using fluorescence spectroscopy. The tyrosine fluorescence is measured from insulin (Ins) solutions at wavelengths lambda(ex)/lambda(em) = 276/300 nm and from fluorescein isothiocyanate (FITC) solutions at lambda(em)/lambda(em) = 494/518 nm. Series of solutions prepared from insulin and FITC are tested for conjugation, recording their fluorimetric intensities. Fluorimetric titrations with different formal concentrations are followed either by intrinsic and extrinsic emission intensities at lambda(ex)/lambda(em) = 276 or 494/518 nm and by their typical emission spectra at pH 9.0. All results denoted a binding ratio of 3 moles of FITC/mole of Ins.