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Weinstein–Sobolev Spaces of Exponential Type and Applications

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Acta Mathematica Sinica,English Series 2013年第3期29卷 591-608页

作者： hassen ben MOHAMED Belgacem GHRIBI Department of Mathematics Faculty of Sciences of Gabs

In this paper, we introduce and study the Sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, including completeness and imbedding theorem, are proved. Finally, using the theory of reproducing kernels, some applications are given for these spaces.

关键词： Weinstein operator Weinstein transform distribution Sobolev spaces

XPS characterization and corrosion resistance of cerium-treated magnesium coatings

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Rare Metals 2011年第4期30卷 368-373页

作者： Samia ben hassen Latifa Bousselmi Patrice Berot El Mustafa Rezrazi Ezzeddine Triki Unité de Recherche Corrosion & Protection des Métalliques ENITBP 37Tunis-BelvédèreTunisie Institut UTINAM CNRS UMR 6213Université de Franche-Comté16 route de Gray 25030 Besanon CedexFrance Laboratoire Traitement et Recyclage des Eaux CERTEBorj CedriaTunisie

Cerium conversion treatment was applied on magnesium coatings in a solution containing CeC13. The composition ot the cenum conversion layer on magnesium was investigated using X-ray photoelectron spectroscopy （XPS）, It was revealed that the composition predominately consisted of a three-valent state cerium compound with a relative abundance around 90%. Some of Ce^3＋ was oxidized to Ce^4＋. Electrochemical impedance spectroscopy results revealed that the total impedance of cerium-treated samples increased for a short immersion time in NaC1 solution before coating deteriorating. This deterioration was due to the coating porosity increasing and the breakdown of the conversion layer

关键词： cerium compounds magnesium coatings X-ray photoelectron spectroscopy corrosion resistance

Improvement in corrosion resistance of magnesium coating with cerium treatment

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Rare Metals 2009年第3期28卷 277-283页

作者： Samia ben hassen Latifa Bousselmi Patrice Berot El Mustafa Rezrazi Ezzeddine Triki Unité de Recherche Corrosion & Protection des Métalliques ENITBP 37Tunis-BelvédèreTunisia Institut UTINAM CNRS UMR 6213Université de Franche-Comté16 route de Gray 25030 Besanon CedexFrance Laboratoire Traitement et Recyclage des Eaux CERTEBorj CedriaTunisia

Corrosion protection afforded by a magnesium coating treated in cerium salt solution on steel substrate was investigated using open circuit potential, polarization curves, and electrochemical impedance spectroscopy （EIS） in 0.005 M sodium chloride solution （NaCl）. The morphology of the surface was characterized by scanning electron microscopy （SEM）, energy dispersive spectroscopy （EDS）, and X-ray diffraction （XRD）. The cerium treated coating was obtained by immersion in CeCl3 solution. The results showed that the corrosion resistance of the treated magnesium coating was improved. The corrosion potential of the treated coating was found to be nobler than that of the untreated magnesium coating and the corrosion current decreased significantly. Impedance results showed that the cerium treatment increased corrosion protection. The improvement of anti-corrosion properties was attributed to the formation of cerium oxides and hydroxides that gave rise to a physical barrier effect.

关键词： magnesium coating cerium corrosion protection impedance spectroscopy

New Sobolev-Weinstein Spaces and Applications

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Journal of Mathematical Research with Applications 2022年第3期42卷 247-260页

作者： hassen ben MOHAMED Youssef BETTAIBI Department of Mathematics Faculty of Sciences Gabes University

In this paper, we consider the generalized Weinstein operator■ we introduce new Sobolev-Weinstein spaces denoted ■associated with the generalized Weinstein operator and we investigate their properties. Next, as appl... 详细信息

关键词： generalized Weinstein operator generalized Weinstein transform sobolev spaces extremal functions reproducing kernels

Calculation of Photo-Ionisation Cross Sections and Radiative Recombination Rate Coefficients for CO and CO^+ Molecules

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Plasma Science and Technology 2014年第11期16卷 1013-1019页

作者： Raja DHOUIOUI Philippe TEULET Yann CRESSAULT hassen GHALILA Riadh RIAHI Nejm Eddine JAIDANE Zohra ben LAKHDAR Université de Toulouse UPSINPTLAPLACE(Laboratoire Plasma et Conversion d'Energie)118 route de NarbonneF-31062 Toulouse cedex 9France Laboratoire de Spectroscopic Atomique Moléculaire et Applications(LSAMA)Faculté des Sciences de TunisUniversité de Tunis el Manar1060 TunisTunisia

A method based upon the weighted total cross section （WTCS） theory is proposed to calculate the photo-ionisation cross sections and the radiative recombination rate coefficients between the fundamental level of CO and the main electronic states of its corresponding ion. Total photo-ionisation cross sections and radiative recombination rate coefficients are determined from the calculation of elementary vibrational photo-ionisation cross sections. Transitions be- tween CO＋（X, A and B） and CO（X） are considered. Total photo-ionisation cross sections and recombination coefficients are computed in the temperature interval 500-15000 K.

关键词： CO photo-ionisation cross sections radiative recombination rate coefficients

Shift Endpoint Trace Selection Algorithm and Wavelet Analysis to Detect the Endpoint Using Optical Emission Spectroscopy

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Photonic Sensors 2016年第2期6卷 158-168页

作者： Sihem ben ZAKOUR hassen TALEB Higher Institute of Management Tunis University of Tunis Tunisia Higher institute of Business and Accounting Bizerte University of Carthage Tunisia

Endpoint detection （EPD） is very important undertaking on the side of getting a good understanding and figuring out if a plasma etching process is done on the right way. It is truly a crucial part of supplying repeatable effects in every single wafer. When the film to be etched has been completely erased, the endpoint is reached. In order to ensure the desired device performance on the produced integrated circuit, many sensors are used to detect the endpoint, such as the optical, electrical, acoustical/vibrational, thermal, and frictional. But, except the optical sensor, the other ones show their weaknesses due to the environmental conditions which affect the exactness of reaching endpoint. Unfortunately, some exposed area to the film to be etched is very low （〈0.5%）, reflecting low signal and showing the incapacity of the traditional endpoint detection method to determine the wind-up of the etch process. This work has provided a means to improve the endpoint detection sensitivity by collecting a huge numbers of full spectral data containing 1201 spectra for each run, then a new unsophisticated algorithm is proposed to select the important endpoint traces named shift endpoint trace selection （SETS）. Then, a sensitivity analysis of linear methods named principal component analysis （PCA） and factor analysis （FA）, and the nonlinear method called wavelet analysis （WA） for both approximation and details will be studied to compare performances of the methods mentioned above. The signal to noise ratio （SNR） is not only computed based on the main etch （ME） period but also the over etch （OE） period. Moreover, a new unused statistic for EPD, coefficient of variation （CV）, is proposed to reach the endpoint in plasma etches process.

关键词： Dimension reduction OES plasma etching process wavelet analysis CV SNR

How to protect liver graft with nitric oxide

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World Journal of Gastroenterology 2011年第24期17卷 2879-2889页

作者： hassen ben Abdennebi Mohamed Amine Zaoualí Izabel Alfany-Fernandez Donia Tabka Joan Roselló-Catafau Laboratory of Human Physiology Faculty of PharmacyUniversity of Monastir Unit of Experimental Hepatic IschemiaReperfusion Institut of d'Investigacions Biomèdiques de BarcelonaConsejo Superior de Investigaciones Científicas Unitat de Transplantament de Fetge i Viabilitat de l'Empelt Institut d'Investigacions Biomèdiques August Pi i Sunyer

Organ preservation and ischemia reperfusion injury associated with liver transplantation play an important role in the induction of graft injury. One of the earliest events associated with the reperfusion injury is endothelial cell dysfunction. It is generally accepted that endothelial nitric oxide synthase （e-NOS） is cell-pro- tective by mediating vasodilatation, whereas inducible nitric oxide synthase mediates liver graft injury after transplantation. We conducted a critical review of the literature evaluating the potential applications of regulating and promoting e-NOS activity in liver preservation and transplantation, showing the most current evidence to support the concept that enhanced bioavailability of NO derived from e-NOS is detrimental to ameliorate graft liver preservation, as well as preventing subse- quent graft reperfusion injury. This review deals mainly with the beneficial effects of promoting ＂endogenous＂ pathways for NO generation, via e-NOS inducer drugs in cold preservation solution, surgical strategies such as ischemic preconditioning, and alternative ＂exogenous＂ pathways that focus on the enrichment of cold storage liquid with NO donors. Finally, we also provide a basic bench-to-bed side summary of the liver physiology and cell signalling mechanisms that account for explaining the e-NOS protective effects in liver preservation and transplantation.

关键词： Cold ischemia reperfusion injury Endotheli-al nitric oxide synthase Nitric oxide Liver graft preser-vation Ischemic preconditioning Liver transplantation

Insulin like growth factor-1 increases fatty liver preservation in IGL-1 solution

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World Journal of Gastroenterology 2010年第45期16卷 5693-5700页

作者： Mohamed Amine Zaouali Susagna Padrissa-Altés Ismail ben Mosbah hassen ben Abdennebi Olivier Boillot Antoni Rimola Dalila Saidane-Mosbahi Joan Roselló-Catafau Experimental Hepatic Ischemia-Reperfusion Unit Institut d'Investigacions Biomèdiques de BarcelonaConsejo Superior de Investigaciones Científicas08036 BarcelonaSpain Unitat de Transplantament de Fetgei Viabilitat del' Empelt Institut d'Investigacions Biomèdiques August Pii Sunyer08036 BarcelonaSpain Laboratory of Human Physiology Faculty of PharmacyUniversity of Monastir5000 MonastirTunisia Unit of Hepatic Transplantation Edouard Herriot Hospital69003 LyonFrance Biomedical Research Center Esther Koplowitz CIBER-ehdInstitute of Health Carlos Ⅲ08036 BarcelonaSpain

AIM: To investigate the benefits of insulin like growth factor-1 (IGF-1) supplementation to serum-free institut georges lopez-1 (IGL-1) solution to protect fatty liver against cold ischemia reperfusion injury. METHODS: Steatotic livers were preserved for 24 h in IGL-1  solution supplemented with or without IGF-1 and then perfused "ex vivo " for 2 h at 37℃. We examined the effects of IGF-1 on hepatic damage and function (transaminases, percentage of sulfobromophthalein clearance in bile and vascular resistance). We also studied other factors associated with the poor tolerance of fatty livers to cold ischemia reperfusion injury such as mitochondrial damage, oxidative stress, nitric oxide, tumor necrosis factor-α (TNF-α) and mitogen-activated protein ***: Steatotic livers preserved in IGL-1 solutionsupplemented with IGF-1 showed lower transaminase levels, increased bile clearance and a reduction in vascular resistance when compared to those preserved in IGL-1solution alone. These benefits are mediated by activation of AKT and constitutive endothelial nitric oxide synthase (eNOS), as well as the inhibition of inflammatory cytokines such as TNF-α. Mitochondrial damage and oxidative stress were also ***: IGL-1  enrichment with IGF-1 increasedfatty liver graft preservation through AKT and eNOS activation, and prevented TNF-α release during normothermic reperfusion.

关键词： AKT Institut georges lopez-1 solution Insulin like growth factor-1 Ischemia reperfusion injury Nitric oxide Oxidative stress Steatotic graft preservation

Evaluation of IGL-1 preservation solution using an orthotopic liver transplantation model

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World Journal of Gastroenterology 2006年第33期12卷 5326-5330页

作者： hassen ben Abdennebi Ziad Elrassi Jean-Yves Scoazec Jean-Paul Steghens Silvina Ramella-Virieux Olivier Boillot Department of Humane Physiology Faculty of Pharmacy Monastir 5000 Tunisia Hepatic Transplantation Unit Edouard Herriot Hospital Lyon 69437 France Department of Biochemistry Edouard Herriot Hospital Lyon 69437 France Georges Lopez Institute Civrieux d’Azergues 69380 France

AIM： To compare, in a pig the protective effect of UW liver transplantation model, with that of IGL-1, a highsodium preservation solution containing polyethylene glycol （PEG） as an oncotic supply. METHODS： All livers were harvested and grafted orthotopically according to standard techniques. The livers were washed out and preserved for 7 h in IGL-1 （n = 6） or in UW solution （n = 7） at 4℃. In a sham group （n = 4）, the livers underwent a 60-min warm ischemia at 37℃. The hepatocellular injury was assessed in organ preservation solution washed out from the graft at the end of ischemic storage （before revascularization）, and in serum 2 h after reperfusion and daily for up to 6 d. RESULTS： Livers preserved in IGL-1 solution released markedly less AST than that preserved in the UW solution before and after revascularization （P 〈 0.05）. Besides, the activity of creatine kinase-BB, a marker of sinusoidal lining cells injury, was higher in the UW group than in the IGL-1 group （P 〈 0.05）. Histological results showed less necrotic regions in livers preserved in IGL-1 solution; however, no difference was observed for inflammation. CONCLUSION： IGL-1 liquid effectively protects parenchymal and non-parenchymal cells against preservation-reperfusion injuries.

关键词： University of Wisconsin solution IGL-1 liquid Cold preservation Liver transplantation Sinusoidalendothelial cells