A Matrix Interpolation between Classical and Free Max Operations. I. The Univariate Case

Recently, Ben Arous and Voiculescu considered taking the maximum of two free random variables and brought to light a deep analogy with the operation of taking the maximum of two independent random variables. We present here a new insight on this analogy: its concrete realization based on random matrices giving an interpolation between classical and free settings.     

Large Deviation Techniques Applied to Systems with Long-Range Interactions

We discuss a method to solve models with long-range interactions in the microcanonical and canonical ensemble. The method closely follows the one introduced by R.S. Ellis, Physica D 133:106 (1999), which uses large deviation techniques. We show how it can be adapted to obtain the solution of a large class of simple models, which can show ensemble inequivalence. The model Hamiltonian can have both discrete (Ising, Potts) and continuous (HMF, Free Electron Laser) state variables. This latter extension gives access to the comparison with dynamics and to the study of non-equilibrium effects. We treat both infinite range and slowly decreasing interactions and, in particular, we present the solution of the α-Ising model in one-dimension with 0 ⩽ α < 1.     

An Ultrasensitive Virus ELISA Based on a magnetic Mesoporous Silica Nanoprobe

Detection of infectious viruses relies on quantitative polymerase chain reaction (qPCR). However, qPCR requires costly equipment, a clean operating environment and experienced technicians, limiting its wide applicability. On the other hand, enzyme-linked immunosorbent assay (ELISA) is widely used in biological laboratories due to its relatively high sensitivity and ease of operation. However, ELISA-based detection of the virus is hampered because it is lower sensitive than qPCR. Herein, a nanoprobe ELISA (NP-ELISA) based on a mesoporous silica nanoprobe, which is constructed by first being loaded with peroxidase and further coated with positively charged polymer polyethyleneimine, and finally functionalized with antivirus antibodies, is designed. Results show that each NP probe is encapsulating 170 peroxidase molecules and presents 200 antibody molecules on the surface. The limit of detection (LOD) of NP-ELISA (LOD = 1450 PFU mL⁻¹) for the detection of real virus samples is tenfold sensitive than that of standard ELISA (LOD = 14, 414 PFU mL⁻¹) and the assay time for NP-ELISA is reduced by 1 h as compared with standard one. Therefore, the NP-ELISA provides a rapid and sensitive immunoassay platform that can readily be implemented for biological laboratory research as well as for on-site clinical diagnostics.     

Insight in DNA Repair of UV‐induced Pyrimidine Dimers by Chromatographic Methods

UV‐induced formation of pyrimidine dimers in DNA is a major deleterious event in both eukaryotic and prokaryotic cells. Accumulation of cyclobutane pyrimidine dimers and pyrimidine (6‐4) pyrimidone photoproducts can lead to cell death or be at the origin of mutations. In skin, UV induction of DNA damage is a major initiating event in tumorigenesis. To counteract these deleterious effects, all cell types possess DNA repair machinery, such as nucleotide excision repair and, in some cell types, direct reversion. Different analytical approaches were used to assess the efficiency of repair and decipher the enzymatic mechanisms. We presently review the information provided by chromatographic methods, which are complementary to biochemical assays, such as immunological detection and electrophoresis‐based techniques. Chromatographic assays are interesting in their ability to provide quantitative data on a wide range of damage and are also valuable tools for the identification of repair intermediates.     

Chiral amines in the diastereoselective Mannich-related multicomponent synthesis of diarylmethylamines, 1,2-diarylethylamines, and β-arylethylamines

The multicomponent synthesis of diarylmethylamines, 1,2-diarylethylamines and β-arylethylamines has been undergone starting from aryl- or benzylzinc reagents, aldehydes, and primary or secondary chiral amines. Good to high diastereoselectivities have been obtained from both l-proline ester derivatives 1 and (±)-trans-1-allyl-2,5-dimethylpiperazine (4). The use of R-(+)-1-phenylethylamine (7) provides important diastereoisomeric excesses (∼60%) in conjunction with very high chemical yields. This work constitutes a preliminary entry to the intended development of a more flexible reaction system, involving easily cleavable chiral amines.     

Rapid access to structured triacylglycerols acylated with n-3 polyunsaturated fatty acids for nutritional applications

In order to better understand the metabolic fate of n-3 polyunsaturated fatty acids (PUFAs), an efficient access to symmetrical and unsymmetrical triacylglycerols (TGs), esterified with PUFAs, with known high purity, is required. In this context, we optimized the esterification of a mixture of glycerols protected as dioxane and dioxolane with PUFAs. The kinetics of this reaction depends on various factors, such as the fatty acid chain length and the stereochemistry of the dioxane. Then, one-pot acetal hydrolysis and esterification of hydroxyl groups led to the desired structured TGs without either double bond isomerization or acyl migration (except when symmetrical TGs are acylated with long-chain saturated fatty acids in external positions). PUFAs location on the glycerol backbone was assayed by NMR, HPLC and pancreatic lipase hydrolysis.     

Charge transfer and mixed-valence behavior in phtalocyanine-dimer cations

Phtalocyanine compounds deserved a considerable interest in recent times, particularly because of their possible use in the field of nanoelectronics. In particular, the charge mobility (of both electrons and holes) in phtalocyanine stacked arrangements has been recently extensively investigated. The present work focuses on the study of the hole-transfer mechanism between two phtalocyanine monomers. For an interdisk distance larger than 4.5 bohrs, the eclipsed dimer exhibits a mixed-valence behavior, with a saddle point transition state separating two equivalent minima. This behavior, however, is strongly dependent on the relative angle between the disks. In particular, the mixed-valence character of the compound is strongly enhanced for arrangements that are far from the eclipsed geometry. Moreover, for values of the angle close to π/8 and 3π/8, the ground and excited transition states have exactly the same energy, thus implying the presence of a conical intersection. These results can have deep implication in the charge transfer along phtalocyanine chains.     

Influence of the counteranion on silver(I)–dithioether coordination polymers

In order to rationalize the effect of the size and coordinating ability of counteranions upon the structure of Ag(I)–dithioether coordination polymers, a series of such polymers has been synthesized by the combination of the 1,3-bis(methylthio)propane building block and AgX silver salts (X = ClO₄⁻ (1), BF₄⁻ (2), CF₃SO₃⁻ (3), SbF₆⁻ (4), C₆H₅COO⁻ (5), CF₃COO⁻ (6), CF₃CF₂CF₂COO⁻ (7) and ⁻OOCCF₂CF₂COO⁻ (8)). Except in two cases, all complexes form 1D-coordination polymers.