A fattening principle for fronts propagating by mean curvature plus a driving force

We demonstrate a general situation in which a hypersurface in Rn propagating by mean curvature, plus a nonzero driving force, develops an interior after finite time in the level set formulation of the problem.     

Generic diffeomorphisms with measure-expansive homoclinic classes

We prove that for C¹ generic diffeomorphisms, every measure-expansive locally maximal homoclinic class is hyperbolic.     

Asymmetric synthesis of 1-deoxyazasugars from chiral aziridines

A general and facile synthesis of enantiopure 1-deoxyazasugars was achieved from stereoselective dihydroxylation of a common synthetic intermediate, piperidine ring fused oxazolidin-2-one, originating from a commercially available starting substrate, chiral aziridine-2-carboxylate, in high yields.     

Tomographic diffractive microscopy with a wavefront sensor

Tomographic diffractive microscopy is a recent imaging technique that reconstructs quantitatively the three-dimensional permittivity map of a sample with a resolution better than that of conventional wide-field microscopy. Its main drawbacks lie in the complexity of the setup and in the slowness of the image recording as both the amplitude and the phase of the field scattered by the sample need to be measured for hundreds of successive illumination angles. In this Letter, we show that, using a wavefront sensor, tomographic diffractive microscopy can be implemented easily on a conventional microscope. Moreover, the number of illuminations can be dramatically decreased if a constrained reconstruction algorithm is used to recover the sample map of permittivity.     

Diffusion dynamics during the nucleation and growth of Ge/Si nanostructures on Si(111)

We report a low energy electron microscopy study of the relation between self-organized Ge/Si(111)nanostructures and their local environment. By comparison with Monte Carlo simulations, three-dimensional islands are shown to display a substantial tendency towards self-ordering. This tendency may result from the diffusive nature of the nucleation processes. The size of individual nanostructures does not significantly correlate with the distance between neighboring islands. Thus energetic factors are thought to govern the competition among coexisting nanostructures to capture the deposited mass.     

A Sensitive and Selective LC-MS Method for the Determination of Lurasidone in Rat Plasma,Bile, and Urine

A liquid chromatography-mass spectrometry (LC-MS) assay was developed and validated for the quantification of lurasidone, an atypical antipsychotic drug, in rat plasma, bile, and urine. Rat plasma, bile, or urine samples were processed by liquid–liquid extraction and injected onto an LC-MS system for the quantification of lurasidone and ziprasidone (an internal standard). Lurasidone and ziprasidone were separated from endogenous substances using a Gemini C6-Phenyl column with mixture of acetonitrile and 0.1 % formic acid (80:20, v/v) as the mobile phase. Quantification was performed using the selected ion monitoring mode at m/z 493 for lurasidone and m/z 413 for the IS. The detector response was specific and linear for lurasidone in the concentration range 5–5,000 ng mL⁻¹ The intra- and inter-day accuracy and precision of the method were determined to be within the acceptable criteria for assay validation guidelines. In addition, lurasidone was stable under a variety of processing and handling conditions. Lurasidone concentrations could be readily measured in rat plasma, bile, and urine samples up to 24 h after an intravenous or oral administration, suggesting that the assay can be used in pharmacokinetic studies of lurasidone in rats.