Phase behavior of the system hyperbranched polyglycerol + methanol + carbon dioxide

Phase equilibrium data have been measured for the ternary system hyperbranched polyglycerol + methanol + carbon dioxide at temperatures of 313–450 K and pressures up to 13.5 MPa. Phase changes were determined according to a synthetic method using the Cailletet setup. At elevated temperatures the system shows a liquid–liquid–vapor region with lower solution temperatures. Besides the vapor–liquid and liquid–liquid equilibria, the vapor–liquid to vapor–liquid–liquid and vapor–liquid–liquid to liquid–liquid phase boundaries are reported at different polymer molar masses and can serve as test sets for thermodynamic models. A distinct influence of the polymer molar mass on the vapor–liquid equilibrium can be noticed and indicates the existence of structural effects due to the polymer branching. Modeling the systems with the PCP-SAFT equation of state confirms these findings.     

Aluminium Speciation in 1‐Butyl‐1‐Methylpyrrolidinium Bis(trifluoromethylsulfonyl)amide/AlCl3 Mixtures

Aluminium speciation : Aluminium speciation in NTf₂ ionic liquids has a strong influence on its electrodeposition from the liquid mixture. This work probed the nature of these species and proposes that the electroactive species involved are either [AlCl₃(NTf₂)]^? or [AlCl₂(NTf₂)₂]^? (e.g., see figure).

     

Asymmetric organocatalytic monofluorovinylations

The development of highly enantio- and diastereoselective organocatalytic monofluorovinylations is presented. Based on the application of α-fluoro-β-keto-benzothiazolesulfones, the formal addition of a monofluorovinylic anion synthon to a range of acyclic and cyclic enones, as well as imines, is shown. These procedures give selective access to both E- and Z-isomers of the monofluorovinylated products, which are isolated as the pure diastereoisomers in good to excellent yields with up to 99% ee. Furthermore, the application of this concept for the formation of highly enantioenriched bicylic compounds containing a monofluorovinyl moiety is also described. In addition, a mechanistic rationale for the observed E:Z-selectivities is presented.     

Mechanism of immunoglobulin G4 Fab-arm exchange

Immunoglobulin G (IgG) antibodies are symmetrical molecules that may be regarded as covalent dimers of 2 half-molecules, each consisting of a light chain and a heavy chain. Human IgG4 is an unusually dynamic antibody, with half-molecule exchange ("Fab-arm exchange") resulting in asymmetrical, bispecific antibodies with two different antigen binding sites, which contributes to its anti-inflammatory activity. The mechanism of this process is unknown. To elucidate the elementary steps of this intermolecular antibody rearrangement, we developed a quantitative real-time FRET assay to monitor the kinetics of this process. We found that an intrinsic barrier is the relatively slow dissociation of the CH3 domains that noncovalently connect the heavy chains, which becomes rate determining in case disulfide bonds between the heavy chains are reduced or absent. Under redox conditions that mimic the previously estimated in vivo reaction rate, i.e., 1 mM of reduced glutathione, the overall rate is ca. 20 times lower because only a fraction of noncovalent isomers is present (with intra- rather than interheavy chain disulfide bonds), formed in a relatively fast pre-equilibrium from covalent isomers. Interestingly, Fab arms stabilize the covalent isomer: the amount of noncovalent isomers is ca. 3 times higher for Fc fragments of IgG4 (lacking Fab domains) compared to intact IgG4, and the observed rate of exchange is 3 times higher accordingly. Thus, kinetic data obtained from a sensitive and quantitative real-time FRET assay as described here yield accurate data about interdomain interactions such as those between Fab and/or Fc domains. The results imply that in vivo, the reaction is under control of local redox conditions.     

Development and validation of automated SPE-HPLC-MS/MS methods for the quantification of asenapine, a new antipsychotic agent, and its two major metabolites in human urine

To support the evaluation of the pharmacokinetic parameters of asenapine (ASE) in urine, we developed and validated online solid‐phase extraction high‐performance liquid chromatography methods with tandem mass spectrometry detection (SPE‐LC‐MS/MS) for the quantification of ASE and two of its major metabolites, N‐desmethylasenapine (DMA) and asenapine‐N⁺‐glucuronide (ASG). The linearity in human urine was found acceptable for quantification in a concentration range of 0.500–100 ng/mL for ASE and DMA and 10.0–3000 ng/mL for ASG, respectively. Copyright © 2012 John Wiley & Sons, Ltd.     

Simultaneous analysis of plasma and CSF by NMR and hierarchical models fusion

Because cerebrospinal fluid (CSF) is the biofluid which interacts most closely with the central nervous system, it holds promise as a reporter of neurological disease, for example multiple sclerosis (MScl). To characterize the metabolomics profile of neuroinflammatory aspects of this disease we studied an animal model of MScl-experimental autoimmune/allergic encephalomyelitis (EAE). Because CSF also exchanges metabolites with blood via the blood-brain barrier, malfunctions occurring in the CNS may be reflected in the biochemical composition of blood plasma. The combination of blood plasma and CSF provides more complete information about the disease. Both biofluids can be studied by use of NMR spectroscopy. It is then necessary to perform combined analysis of the two different datasets. Mid-level data fusion was therefore applied to blood plasma and CSF datasets. First, relevant information was extracted from each biofluid dataset by use of linear support vector machine recursive feature elimination. The selected variables from each dataset were concatenated for joint analysis by partial least squares discriminant analysis (PLS-DA). The combined metabolomics information from plasma and CSF enables more efficient and reliable discrimination of the onset of EAE. Second, we introduced hierarchical models fusion, in which previously developed PLS-DA models are hierarchically combined. We show that this approach enables neuroinflamed rats (even on the day of onset) to be distinguished from either healthy or peripherally inflamed rats. Moreover, progression of EAE can be investigated because the model separates the onset and peak of the disease.     

Volume of submanifolds

We propose a geometric definition of the volume of submanifolds using tubular neighborhoods.     

The Fundamental Pro-groupoid of an Affine 2-scheme

A natural question in the theory of Tannakian categories is: What if you don’t remember Forget? Working over an arbitrary commutative ring R, we prove that an answer to this question is given by the functor represented by the étale fundamental groupoid π ₁(spec(R)), i.e. the separable absolute Galois group of R when it is a field. This gives a new definition for étale π ₁(spec(R)) in terms of the category of R-modules rather than the category of étale covers. More generally, we introduce a new notion of “commutative 2-ring” that includes both Grothendieck topoi and symmetric monoidal categories of modules, and define a notion of π ₁ for the corresponding “affine 2-schemes.” These results help to simplify and clarify some of the peculiarities of the étale fundamental group. For example, étale fundamental groups are not “true” groups but only profinite groups, and one cannot hope to recover more: the “Tannakian” functor represented by the étale fundamental group of a scheme preserves finite products but not all products.     

On the extraction of weights from pairwise comparison matrices

We study properties of weight extraction methods for pairwise comparison matrices that minimize suitable measures of inconsistency, ‘average error gravity’ measures, including one that leads to the geometric row means. The measures share essential global properties with the AHP inconsistency measure. By embedding the geometric mean in a larger class of methods we shed light on the choice between it and its traditional AHP competitor, the principal right eigenvector. We also suggest how to assess the extent of inconsistency by developing an alternative to the Random Consistency Index, which is not based on random comparison matrices, but based on judgemental error distributions. We define and discuss natural invariance requirements and show that the minimizers of average error gravity generally satisfy them, except a requirement regarding the order in which matrices and weights are synthesized. Only the geometric row mean satisfies this requirement also. For weight extraction we recommend the geometric mean.     

Prism-based multicolor fluorescence correlation spectrometer

We report the design and application of a prism-based detection system for fluorescence (cross) correlation spectroscopy. The system utilizes a single laser wavelength for the simultaneous excitation of several dyes of different emission spectra. Fluorescence light is spectrally separated with a prismatic setup, and wavelengths are selected by scanning a fiber-coupled avalanche photodiode across the image spots. Multicolor autocorrelations are demonstrated with standard and tandem dyes, and fluorescence cross-correlation measurements of biotinylated nanocontainers and streptavidin are presented. This spectrometer offers high optical stability and no focal volume mismatch for the multicolor detection of molecular dynamics and interactions, with single-molecule sensitivity.