On coloring box graphs

We consider the chromatic number of a family of graphs we call box graphs, which arise from a box complex in n$n$-space. It is straightforward to show that any box graph in the plane has an admissible coloring with three colors, and that any box graph in n$n$-space has an admissible coloring with n+1$n+1$ colors. We show that for box graphs in n$n$-space, if the lengths of the boxes in the corresponding box complex take on no more than two values from the set {1,2,3}$\{1,2,3\}$, then the box graph is 3$3$-colorable, and for some graphs three colors are required. We also show that box graphs in 3-space which do not have cycles of length four (which we call “string complexes”) are 3$3$-colorable.     

Non-destructive method to determine halophenols and haloanisoles in cork stoppers by headspace sorptive extraction

The new solvent-free technique called headspace sorptive extraction (HSSE) was used to determine 2,4,6-trichlorophenol, 2,3,4,6-tetrachlorophenol, 2,4,6-trichloroanisole, 2,3,4,6-tetrachloroanisole, 2,4,6-tribromoanisole, pentachloroanisole in cork stoppers, without grinding them, as these may be responsible for the cork taint off-flavour in wine. The best HSSE sorption kinetics for the target analytes were obtained after submitting the spiked corks to 100 degrees C for 1h, followed by a 30 min stabilization time at room temperature. The stir bar was desorbed in a thermal desorption system coupled to a gas chromatograph-mass spectrometer. The method proposed showed good linearity over the concentration range tested, 1-70 ngg(-1), and correlation coefficients ranged from 0.90 to 0.99 for all the analytes. The reproducibility and repeatability of the method were estimated between 4.91 and 12.67%. The effect of the different cork matrixes on the extraction recovery of the target compounds was studied, with the natural corks showing the higher recovery percentage in relation to agglomerate ones.     

Multienzymatic-rotating biosensor for total cholesterol determination in a FIA system

Fabrication of an amperometric-rotating biosensor for the enzymatic determination of cholesterol is reported. The assay utilizes a combination of three enzymes: cholesterol esterase (ChE), cholesterol oxidase (ChOx) and peroxidase (HRP); which were co-immobilizing on a rotatory disk. The method is developed by the use of a glassy carbon electrode as detector versus Ag/AgCl/3 M NaCl in conjunction with a soluble-redox mediator 4-tert-butylcatechol (TBC). ChE converts esterified cholesterol to free cholesterol, which is then oxidized by ChOx with hydrogen peroxide as product. TBC is converted to 4-tert-butylbenzoquinone (TBB) by hydrogen peroxide, catalyzed by HRP, and the glassy carbon electrode responds to the TBB concentration. The system has integrated a micro packed-column with immobilized ascorbate oxidase (AAOx) that works as prereactor to eliminate l-ascorbic acid (AA) interference. This method could be used to determine total cholesterol concentration in the range 1.2 μM-1 mM (r = 0.999). A fast response time of 2 min has been observed with this amperometric-rotating biosensor. Lifetime is up to 25 days of use. The calculated detection limits was 11.9 nM. Reproducibility assays were made using repetitive standards solutions (n = 5) and the percentage standard error was less than 4%.     

A threaded loop conformation adopted by a family of peptoid nonamers

Non-natural polymers with well-defined three-dimensional folds offer considerable potential for engineering novel functions that are outside the scope of biological polymers. Here we describe a family of N-substituted glycine or "peptoid" nonamers that folds into an unusual "threaded loop" structure of exceptional thermal stability and conformational homogeneity in acetonitrile. The structure is chain-length-specific and relies on bulky, chiral side chains and chain-terminating functional groups for stability. Notable elements of the structure include the engagement of the positively charged amino terminus by carbonyl groups of the backbone through hydrogen bonding interactions and shielding of polar groups from and near-complete exposure of hydrophobic groups to solvent, in a manner resembling a folded polypeptide globular domain turned inside-out. The structure is stable in a variety of organic solvents but is readily denatured in any solvent/cosolvent milieu with hydrogen bonding potential. The structure could serve as a scaffold for the elaboration of novel functions and could be used to test methodologies for predicting solvent-dependent polymer folding.     

An expedient synthesis of orthogonally protected lysinoalanine from Aloc-protected Garner’s aldehyde

An expedient synthesis of orthogonally protected lysinoalanine has been developed. We have prepared a novel Garner’s aldehyde derivative bearing an Aloc group; reductive amination of this aldehyde with Fmoc-Lys-OPMB gave the lysinoalanine skeleton. This was then transformed into an orthogonally protected lysinoalanine derivative suitable for the synthesis of side-chain bridged cyclic peptides by solid phase peptide synthesis methods.     

Wavelet expansions for weighted,vector-valued BMO functions

We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p = 2 corresponds to the classical Carleson measure condition. Relations between the weighted BMO norm of a vector-valued function f: ℝ → X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p ≠ 2.     

Cross-sections of spectrochromatograms for the resolution of overlapping peaks in diode-array high-performance liquid-chromatography

Multi-wavelength detectors offer improved detection capabilities for liquid chromatographic methods, but require multivariate approaches to utilise all the available information. The photodiode-array detector in high-performance liquid chromatography (HPLC) generates a three-dimensional data matrix, which is conventionally presented as an isometric projection or a contour plot. In this work, a new graphical technique is described for improving the quantitative results obtained from HPLC, using the available spectrochromatographic information in both the time and wavelength domains. The technique consists of performing cross-sections through the data matrix to obtain the maximum analytical information for each of the analytes. Hence, the resolution of overlapping peaks and the sensitivity in the determination are optimised. In order to demonstrate the validity and simplicity of the approach, the method has been applied to the resolution of synthetic mixtures of iprodione, procymidone and chlorothalonil. Also, the method has been satisfactorily applied to the simultaneous determination of the pesticides in environmental groundwater samples.     

Kinetic study of the degradation of chlorpyrifos by using a stopped-flow fia system. Semiautomatic determination in commercial formulations

A kinetic study of the degradation of chlorpyrifos in an oxidative alkaline medium has been undertaken by using a stopped-flow system. A semiautomatic method for determining chlorpyrifos is proposed for the first time. Linear calibration graphs up to 2 x 10(-4)M with a relative standard deviation of 1.8% are obtained. A detection limit of 6.6 x 10(-6)M is reported. Carbaryl, dimethoate and endosulfan have been assayed as interference species. The proposed method has been applied to analyze a commercial formulation.     

Semiautomatic determination of furazolidone and furaltadone by continuous and stopped flow FIA methods

New methods are proposed for the semiautomatic determination of furazolidone and furaltadone by photometric flow injection or stopped flow FIA analysis, on the basis of their alkaline hydrolysis reactions. Linear calibration graphs between 1 and 30 g/ml are obtained for both compounds, the detection limits for furazolidone and furaltadone being 0.20 and 0.26 g/ml, respectively, by flow injection and 0.27 and 0.21 g/ml by the stopped flow approach.