FIXED POINT THEOREMS FOR MAPPINGS SATISFYING IMPLICIT RELATION ON TWO COMPLETE AND COMPACT METRIC SPACES

First, the implicit relations were given. A common fixed point theorem was proved for two mappings satisfying implicit relation functions. A further fixed point theorem was proved for mappings satisfying implicit relation functions on two compact metric spaces.     

Tail product-limit process for truncated data with application to extreme value index estimation

A weighted Gaussian approximation to tail product-limit process for Pareto-like distributions of randomly right-truncated data is provided and a new consistent and asymptotically normal estimator of the extreme value index is introduced. A simulation study is carried out to evaluate the finite sample behavior of the proposed estimator and compare it to that recently proposed by Gardes and Stupfler (TEST 24, 207–227, 2015). Also, a new approach of estimating extreme quantiles, under random right truncation, is derived and applied to a real dataset of lifetimes of automobile brake pads.     

Purification of pediocin PA-1 by immunoaffinity chromatography

A one-step purification procedure for purifying pediocin PA-1, a class IIa bacteriocin produced by Pediococcus acidilactici UL5, was developed based on column immunoaffinity chromatography with specific antipediocin PA-1 polyclonal antibodies coupled to cyanogen bromide-activated SepharoseTM. About 13.3 microg/mL purified pediocin PA-1 was obtained from 15 mL P. acidilactici UL5 culture supernatant, as measured by enzyme-linked immunosorbent assay. The specific activity and average recovery of the eluted pediocin PA-1 were about 6602 AU/mg and 53.3%, respectively. This is the first report of successful purification of pediocin PA-1 by immunoaffinity using pediocin PA-1-specific polyclonal antibodies.     

Molecular docking study on β-cyclodextrin Interactions of metobromuron and [3-(p-bromophenyl)-1-methoxy-1-methylurea]

The inclusion process involving β-cyclodextrin (β-cyclodextrin-CD) and phenylurea herbicide metobromuron (MB) has been investigated by using the MM+, PM3, B3LYP, HF, ONIOM2 and NBO methods. The binding and complexation energies for both orientations considered in this research are reported. The geometry of the most stable complex shows that the aromatic ring is deeply self-included inside the hydrophobic cavity of β-CD also an intermolecular hydrogen bond is established between host and guest molecules. This suggests that hydrophobic effect and hydrogen bond play an important role in the complexation process. The statistical thermodynamic calculations by PM3 demonstrate that 1:1?MB/β-CD complex is favored by a negative enthalpy change. Moreover, NBO calculations proved also that are a very useful means to quantify the interaction energies of the hydrogen bonds.     

Performances catalytiques de faujasites Y échangées par des cations de Ce3+, La3+, UO22+, Co2+, Sr2+, Pb2+, Tl+ et NH4+ dans la réaction de dismutation du toluène

The catalytic performance of exchanged Y faujasites by Ce³⁺, La³⁺, UO₂²⁺, Co²⁺, Sr²⁺, Pb²⁺, Tl⁺ and NH₄⁺ ions were studied in a disproportionation reaction in the gaseous phase. It was shown that total acidity generated by exchanged ions is responsible of the catalytic activity. Rare earths (cerium, lanthanum and uranium) catalysts have appreciable performance and allowed one to obtain an important xylenes proportion at 400 to 450 °C. The decrease of xylenes and trimethylbenzenes proportion in studied catalysts shows the implication of xylenes in toluene disproportionation reaction.     

Utilisation de matériaux à base d’argiles modifiées dans la conversion du toluène

Clay materials, montmorillonite from Maghniya deposits (Algeria), were used as an acidic catalyst in toluene conversion. Toluene disproportionation reaction in gaseous phase was used. These clays were modified by ion exchange with uranyl ions UO₂²⁺. The surface acidity of catalysts was determined by the stepwise desorption technique (STD) of probe molecules using butylamine and ammonia. Thus, total acidity and distribution of the acidity strength were determined. The results show that materials presented an appreciable total acidity and catalytic activity in studied reaction. The acidity strength of catalysts due to UO₂²⁺ ions was kept at a temperature of 550 °C. A relationship was found between the catalytic activity and acidity strength generated by the introduction of uranyl ions in the clay structure.     

Ab initio study of the structural,electronic, elastic and magnetic properties of Cu2GdIn,Ag2GdIn and Au2GdIn

We preformed first-principle calculations for the structural, electronic, elastic and magnetic properties of Cu₂GdIn, Ag₂GdIn and Au₂GdIn using the full-potential linearized augmented plane wave (FP-LAPW) scheme within the generalized gradient approximation by Wu and Cohen (GGA-WC), GGA+U, the local spin density approximation (LSDA) and LSDA+U. The lattice parameters, the bulk modulus and its pressure derivative and the elastic constants were determined. Also, we present the band structures and the densities of states. The electronic structures of the ferromagnetic configuration for Heusler compounds (X₂GdIn) have a metallic character. The magnetic moments were mostly contributed by the rare-earth Gd 4f ion.     

Réactivité des cinnamoyl-3 pyrones-2 vis à vis des amines primaires

The reaction of primary amines (methylamine, isopropylamine, benzylamine) in neutral medium, on 3-cinnamoyl-2-pyrones gave 7-amino-3,5-dioxo-l,6-octadienes 2 . The formation of these compounds is presumed to occur via nucleophilic attack of amines with a ring opening reaction followed by decarboxylation. Their structures were determined unambiguously by ¹H, ¹³C nmr spectroscopy, elemental analysis and mass spectrometry.     

Activated sulfahydantoin as Boc-glycine enolate equivalent: highly diastereoselective α-hydroxyalkylation and application to the synthesis of aldopentonate analogues

N-Boc-activated sulfahydantoin can be seen as glycine enolate equivalent. It appeared as a convenient starting material for the stereocontrolled preparation of threonine homologues through an alkaline syn aldolization involving a Boc migration. The methodology allowed the one-pot preparation of constrained analogues of polyoxamic acid.