Generalized and potential symmetries of the Rudenko-Robsman equation

The paper presents a concrete study of the existence of generalized and potential symmetries for the 1+1 dimensional version of the Rudenko-Robsman equation, an interesting fourth-order partial differential equation that describes the evolution of nonlinear waves in a dispersive medium. As the main results, the existence of a two-parameter algebra of generalized symmetries and of an infinite-dimensional algebra when potential symmetries are taken into account is proven.     

New formulations of linearized elasticity problems,based on extensions of Donati's theorem

The classical Donati theorem is used for characterizing smooth matrix fields as linearized strain tensor fields. In this Note, we give several generalizations of this theorem, notably to matrix fields whose components are only in $H^{\mathrm{?1}}$. We then show that our extensions of Donati's theorem allow to reformulate in a novel fashion linearized three-dimensional elasticity problems as quadratic minimization problems with the strains as the primary unknowns. To cite this article: C. Amrouche et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006).     

‘The mesh method’ in lightning protection standards – Revisited

At present the design of the Lightning protection systems (LPS) for structures as stipulated in standards is based on the electro – geometrical method, which was initially used to protect power lines from lightning. A derivative of the electro-geometrical method is the rolling sphere method. This method together, with the protection angle method and mesh method are used almost in all lightning standards as the measure in installing the lightning protection systems of grounded structures. In the mesh method, the dimension of the cell size in different levels of protection is determined using the rolling sphere method. Since the rolling sphere method does not take into account the physics of the lightning attachment process there is a need to evaluate the validity of the stipulated value in standards of the minimum lightning current that can penetrate through the mesh in different levels of protection. In this paper, meshes of different sizes as stipulated in the lightning protection standards were tested for their ability to intercept lightning flashes using a lightning attachment model that takes into account the physics of connecting leaders on. The results are in reasonable agreement with the specifications given in the lightning protection standards.     

Scheduling on same-speed processors with at most one downtime on each machine

We consider the problem of scheduling a set of independent tasks on multiple same-speed processors with planned shutdown times with the aim of minimizing the makespan. We give an LPT-based algorithm, LPTX, which yields a maximum completion time that is less than or equal to 3/2 the optimal maximum completion time or 3/2 the time that passes from the start of the schedule until the latest end of a downtime. For problems where the optimal schedule ends after the last downtime, and when the downtimes represent fixed jobs, the LPTX maximum completion time is within 3/2 of the optimal maximum completion time. In addition, we show that this result is asymptotically tight for the class of polynomial algorithms assuming that P≠NP. We also show that the bound obtained previously for a similar problem, when no more than half of the machines are shut down at the same time, for the LPT algorithm is asymptotically tight in the class of polynomial algorithms if P≠NP.     

Flavor constraints on scenarios with two or three heavy squark generations

We present the NLO SUSY-QCD corrections to the production of a pair of the lightest neutralinos plus one jet at the LHC, appearing as a monojet signature in combination with missing energy. We fully include all non-resonant diagrams, i.e. we do not assume that production and decay factorise. We derive a parameter point based on the p19MSSM which is compatible with current experimental bounds and show distributions based on missing transverse energy and jet observables. Our results are produced with the program GoSam Cullen et al. (Eur. Phys. J. C 72:1889, 2012) for automated one-loop calculations in combination with MadDipole/MadGraph for the real radiation part.     

Diarylthiazole and diarylimidazole selective COX-1 inhibitor analysis through pharmacophore modeling,virtual screening,and DFT-based approaches

Structural Chemistry - The current work is focused on in silico modeling of COX-1 inhibitors with enhanced safety gastric profile. A 5-point pharmacophore model, atom-based 3D quantitative...     

Cholesterol addition and removal in pacific oyster oocytes does not improve cryopreservation success

The optimal cholesterol content in cells could provide the benefit of lowering or eliminating the lipid phase transition temperature, while maintaining membrane fluidity and strength; thus, making cells less sensitive to chilling injury and more amenable to cryopreservation. Such effects were shown in some gametes and embryos of certain mammalian species, however, some other cell types, benefited from cholesterol removal. The experiments developed in this study aimed to determine the effect of incubating Pacific oyster (Crassostrea gigas) oocytes in cholesterol-addition or removal solutions prior to cryopreservation on their post-thaw fertilization ability. The results showed a positive association of cholesterol with the oocytes when assessed by fluorescent microscopy. However, this uptake was not reflected by an increase in cholesterol as determined by colorimetric analysis or in the post-thaw fertilization rate of treated oocytes. It is presumed either that oyster oocytes already contain a substantial amount of cholesterol or other lipids in their plasma membranes and do not benefit from any additional cholesterol or there is no lipid phase transition temperature in oyster oocytes.     

Solid-State Treatment of Castor Cake Employing the Enzymatic Cocktail Produced from <Emphasis Type="Italic">Pleurotus djamor</Emphasis> Fungi

In this work, the enzymatic cocktail produced by Pleurotus djamor fungi extracted at pH of 4.8 and 5.3 was employed for castor cake solid-state treatment. Proximal, X-ray powder diffraction and scanning electron microscopy analysis of the pristine castor cake were carried out. First, Pleurotus djamor stain was inoculated in castor cake for the enzymatic production and the enzymatic activity was determined. The maximum enzymatic activity was identified at days 14 (65.9 UI/gss) and 11 (140.3 UI/gss) for the enzymatic cocktail obtained at pH 5.3 and 4.8, respectively. Then, the enzymatic cocktail obtained at the highest enzymatic activity days was employed directly over castor cake. Lignin was degraded throughout incubation time achieving a 47 and 45% decrease for the cocktail produced at pH 4.8 and 5.3, correspondingly. These results were corroborated by the SEM and XRD analysis where a higher porosity and xylan degradation were perceived throughout the enzymatic treatment.     

Triflic acid-catalyzed highly stereoselective friedel-crafts aminoalkylation of indoles and pyrroles

A simple and efficient synthesis to both enantiomers of highly enantiomerically enriched alpha-trifluoromethyl-alpha-(heteroaryl)-glycine derivatives via highly stereoselective aminoalkylation of indoles and pyrroles is described. The triflic acid-catalyzed reaction of enantiomeric 3,3,3-trifluoro-pyruvate-alpha-methylbenzyl imines with indoles and pyrroles and the subsequent Pd-catalyzed hydrogenolysis of the methylbenzyl group provided the products in high yields and excellent enantioselectivities.     

Flow injection spectrofluorimetric determination of carvedilol mediated by micelles

We propose a novel evanescent wave scattering imaging method using an objective-type total internal reflection system to image and track single gold nanoparticles (GNPs) in solution. In this imaging system, only a millimeter-scale hole is employed to efficiently separate GNPs scattering light from the background reflected beam. The detailed experimental realization of the imaging system was discussed, and the effect of the hole size on imaging was investigated. We observed that the hole diameters from 2.5 to 4 mm are suitable to perform the scattering imaging by adjusting the incidence angle. The technology was successfully applied to track single gold nanoparticles in solution and on live cell membrane via the anti-epidermal growth factor receptor antibody. Compared to total internal fluorescence microscopy, the resonance light scattering detection has no photobleaching or blinking inherent to fluorescent dyes and quantum dots. Compared to conventional dark-field microscopy, the evanescent wave illumination can be conveniently applied to study membrane dynamics in living cells. Additionally, the objective-based configuration provides a free space above the coverslip, and allows imaging and concomitant manipulation of live cells in culture by microinjection, patch-clamping, AFM and other techniques.