Bayesian and Maximum Likelihood Estimation for Gaussian Processes on an Incomplete Lattice

This article proposes a new approach for Bayesian and maximum likelihood parameter estimation for stationary Gaussian processes observed on a large lattice with missing values. We propose a Markov chain Monte Carlo approach for Bayesian inference, and a Monte Carlo expectation-maximization algorithm for maximum likelihood inference. Our approach uses data augmentation and circulant embedding of the covariance matrix, and provides likelihood-based inference for the parameters and the missing data. Using simulated data and an application to satellite sea surface temperatures in the Pacific Ocean, we show that our method provides accurate inference on lattices of sizes up to 512 × 512, and is competitive with two popular methods: composite likelihood and spectral approximations.     

Rapid aerobic iodination of arenes mediated by hypervalent iodine in fluorinated solvents

Arenes are rapidly converted to the corresponding iodides by aerobic oxidative iodination at room temperature by treatment with iodine and catalytic quantities of nitrous acid in a fluorinated solvent. Dichloroiodic acid is proposed as the actual iodination reagent.     

The Rogers-Ramanujan continued fraction and a quintic iteration for

Properties of the Rogers-Ramanujan continued fraction are used to obtain a formula for calculating with quintic convergence.

     

Novel aerobic oxidation of primary sulfones to carboxylic acids

Primary alkyl aryl sulfones are converted to the corresponding carboxylic acids in fair to excellent yield through double deprotonation and exposure to atmospheric oxygen. The methodology allows for the convenient synthesis of (13)C labeled carboxylic acids.     

Effect of gender, season, and vitamin D status on bone biochemical markers in Saudi diabetes patients

Biochemical bone turnover markers (BTMs) provide important information on the diagnosis, therapy and monitoring of metabolic bone diseases. They are evident before measurable changes in bone mineral density (BMD) take place. A total of 35 adult Saudi patients (23 males; 12 females) with type 2 diabetes and diagnosed to be vitamin D deficient were recruited in this prospective study. Here we investigated the effects of gender, season, and vitamin D status on bone biochemical markers of bone remodeling. Anthropometry and blood samples were collected at different intervals. Metabolic parameters and bone biomarkers were measured routinely and by ELISA. Both males and females had a significant increase in their vitamin D status over time, but no significant changes in the bone biomarkers were observed in females. In males there was a significant increase in circulating levels of corrected calcium and OPN (p = 0.004 and 0.01 respectively) and a significant decrease in crosslaps (p = 0.005). In all subjects there was a modest but significant positive relationship between vitamin D status and OC (R = 0.34; p = 0.04). In conclusion, our study demonstrates that changes in bone remodeling markers are affected by season, gender, and possibly vitamin D status. This gender difference may well reflect the physiologic pathway responsible for the higher peak bone mass achieved in males compared to females.     

Experimental and theoretical study of the reaction of the ethynyl radical with nitrous oxide, C2H + N2O

We investigated the rate constants and reaction mechanism of the gas phase reaction between the ethynyl radical and nitrous oxide (C(2)H + N(2)O) using both experimental methods and electronic structure calculations. A pulsed-laser photolysis/chemiluminescence technique was used to determine the absolute rate coefficient over the temperature range 570 K to 836 K. In this experimental temperature range, the measured temperature dependence of the overall rate constants can be expressed as: k(T) (C(2)H + N(2)O) = 2.93 × 10(-11) exp((-4000 ± 1100) K/T) cm(3) s(-1) (95% statistical confidence). Portions of the C(2)H + N(2)O potential energy surface (PES), containing low-energy pathways, were constructed using the composite G3B3 method. A multi-step reaction route leading to the products HCCO + N(2) is clearly preferred. The high selectivity between product channels favouring N(2) formation occurs very early. The pathway corresponds to the addition of the terminal C atom of C(2)H to the terminal N atom of N(2)O. Refined calculations using the coupled-cluster theory whose electronic energies were extrapolated to the complete basis set limit CCSD(T)/CBS led to an energy barrier of 6.0 kcal mol(-1) for the entrance channel. The overall rate constant was also determined by application of transition-state theory and Rice-Ramsperger-Kassel-Marcus (RRKM) statistical analyses to the PES. The computed rate constants have similar temperature dependence to the experimental values, though were somewhat lower.     

Progress towards the synthesis of Urukthapelstatin A and two analogues

We report our progress toward the synthesis of Urukthapelstatin A (Ustat A) and two analogues. Our retrosynthetic strategy involved the synthesis of three fragments: a tri-heteroaromatic moiety, a phenyl oxazole fragment, and a dipeptide. Described are the syntheses of three unique tri-heteroaromatic moieties. In addition, the corresponding linear precursors of Ustat A and two analogues are presented.     

Strategies for the Analysis of Pharmaceutical Cocrystals Using HPLC with Charged Aerosol Detection

Several active pharmaceutical ingredients are currently being developed as pharmaceutical cocrystals as these systems often have superior properties compared to traditional pharmaceutical forms. Pharmaceutical cocrystal formers typically used are polar, small molecule acids or bases which often lack a UV chromophore. Their polar nature results in almost no reversed phase retention and their detection typically cannot be done with UV. Here we discuss approaches for the analysis of pharmaceutical cocrystals using HPLC columns designed for polar retention, ion pairing chromatography (IPC), and hydrophilic interaction chromatography (HILIC) using model cocrystal formers. Corona charged aerosol detection (CAD) was used to monitor the cocrystal formers. l-alanine was used as a model basic cocrystal former, and succinic acid and glutaric acid were used as model acidic cocrystal formers. The acidic cocrystal formers were adequately retained on a C18 column. Heptafluorobutyric acid was used as the ion-pairing reagent for l-alanine as it was unretained without the ion-pairing reagent. HILIC, a newer approach for polar compound retention, was also investigated. Using the HILIC mode, all three model cocrystal formers were retained adequately. Of all the approaches studied for the analysis of the cocrystal formers, HILIC appears to be the best choice as the same column can be used for both acidic and basic cocrystal formers. With IPC, the ion-pairing reagent permanently alters the column chemistry and dedicated columns are required for each ion-pairing reagent used. CAD detection provided a linear response in the 80–100% test concentration range for the analytes studied here.