Reactivity of phosphiranes toward nucleophiles: Theoretical and experimental investigations

The thermodynamic and kinetic parameters for the reaction of 1‐methylphosphirane with dimethylphosphide (PMe), proceeding via attack at the ring phosphorus atom to give Me₂P–PMe⁻ plus ethylene, were calculated at the G3(MP2)‐RAD(+) level. The rate constant for this mechanism (k = 1.1 × 10¹³ L mol⁻¹ s⁻¹ at 25°C) is seven orders of magnitude greater than that for the previously studied mechanism involving attack at carbon. Experimental investigations with 1‐phenylphosphirane gave consistent results: Treatment with LiPMePh yielded no detectable polymer, and quenching with MeI gave the known diphosphine (R*, R*)‐(±)/(R*, S*)‐MePhP‐‐PMePh. © 2008 Wiley Periodicals, Inc. Heteroatom Chem 19:178–181, 2008; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/hc.20405     

Bi-Parametric Potentials, Relevant Function Spaces and Wavelet-Like Transforms

We introduce new potential type operators J^a_b = (E+(-D)^b/2)^-a/bJ^{\alpha}_{\beta} = (E+(-\Delta)^{\beta/2})^{-\alpha/\beta}, (α > 0, β > 0), and bi-parametric scale of function spaces H^a_{b, p}(\mathbbRⁿ)H^{\alpha}_{\beta , p}({\mathbb{R}}^n) associated with J^α_β. These potentials generalize the classical Bessel potentials (for β = 2), and Flett potentials (for β = 1). A characterization of the spaces H^a_{b, p}(\mathbbRⁿ)H^{\alpha}_{\beta, p}({\mathbb{R}}^n) is given with the aid of a special wavelet–like transform associated with a β-semigroup, which generalizes the well-known Gauss-Weierstrass semigroup (for β = 2) and the Poisson one (for β = 1).     

Inversion of Bessel Potentials with the Aid of Weighted Wavelet Transforms

A special type of weighted wavelet transforms is introduced and the relevant Calderón reproducing formula for functions f ∈ L^p(ℝⁿ ) is proved. By making use of these wavelet‐type transforms a new inversion formula of the classical Bessel potentials is obtained.     

Some generalizations of Bessel and Flett potentials associated to the Laplace–Bessel differential operator

We introduce the notion of bi-parametric potential-type operators, which generalize the Bessel and Flett potentials associated to singular Laplace–Bessel differential operator. Explicit inversion formulas for them are obtained by using a special wavelet-like transform, generated by the so-called ‘modified beta-semigroup’.     

Generalized Assignment Type Goal Programming Problem: Application to Nurse Scheduling

The notion of the Generalized Assignment Type Goal Programming Problem is introduced to consider the additional side constraints of an Assignment Type problem as goal functions. A short term Tabu Search method together with diversification strategies are used to deal with this model. The methods are tested on real-world Nurse Scheduling Problems.     

Development water in oil nanoemulsion of diethylcarbamazine for enhanced the characteristics for lymphatic targeting: A proof of concept study

As an antifilariasis drug, oral administration of diethylcarbamazine (DEC) could not effectively deliver the drug to the lymphatic system. Hydrophobic formulation with a particle size of <100 nm could improve the delivery of drug. Accordingly, we developed water in oil nanoemulsion encapsulating DEC. The nanoemulsion was less than 100 nm with negative charge, showing its suitability for lymphatic targeting. The nanoemulsion could sustain the release of DEC and improve the retention in intestinal tissue in comparison with DEC solution. Importantly, this approach did not cause any hemolysis in in vitro study and any irritation in in vivo study.