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TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS

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Acta Mathematica Scientia 2023年第5期43卷 2061-2074页

作者： khalid BOUABID Rachid ECHARGHAOUI Mohssine EL mansour Department of Mathematics Faculty of SciencesIbn Tofail UniversityKenitraB.P.133Morocco

In this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents■whereΩis a smooth bounded domain in RN with 0∈?Ωand all the principle curvatures of?Ωat 0 are negative,a∈C1(Ω,R*+),μ>0,02(q+1)/(q-1).By2*:=2N/(N-2)and 2*(s):(2(N-s))/(N-2)we denote the critical Sobolev exponent and Hardy-Sobolev exponent,respectively.

关键词： Laplacien critical Sobolev-Hardy exponent critical Sobolev exponent infinitely many solutions Pohozaev identity

Characteristics of newly-formed cementum following emdogain application

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International Journal of Oral Science 2011年第1期3卷 21-26页

作者： khalid Al-Hezaimi mansour Al-Askar Abdulaziz Al-Rasheed Eng.A.B.Bagshan Growth Factors and Bone Regeneration Research Chair King Saud UniversityRiyadhSaudi Arabia Department of Periodontology School of Dentistry King Saud UniversityRiyadh Saudi Arabia Eng.A.B.Bagshan Growth Factors and Bone Regeneration Research Chair King Saud UniversityRiyadh Saudi Arabia Department of Periodontology School of Dentistry King Saud UniversityRiyadhSaudi Arabia

Periodontal regenerative techniques have been proposed; however, the outcomes remain debatable. The present investigation assessed the regenerated cementum following enamel matrix derivative application in dehiscence-type defects. Buccal osseous dehiscences were surgically created on the maxillary cuspid, and the second and fourth premolars in five female beagle dogs. The treatment group （n=15 sites） received the enamel matrix derived application, whereas the control groups （n=15） did not. The dogs were sacrificed 4 months following treatment and the specimens were histologically and histometrically examined. The newly formed cementum was uneven in thickness and mineralization, overlapped the old cementum and exhibited functional orientation, cementocyte lacunae and collagen fibril bundles. Most of the histological specimens showed the presence of a gap between the newly formed cementum and the underlying dentin. Control sites did not exhibit any cementum formation. The present study concluded that newly formed cementum is of cellular type and exhibits multiple characteristics.

关键词： regeneration cementum enamel matrix protein

Real-time-guided bone regeneration around standardized critical size calvarial defects using bone marrow-derived mesenchymal stem cells and collagen membrane with and without using tricalcium phosphate: an in vivo microcomputed tomographic and histologic e

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International Journal of Oral Science 2016年第1期8卷 7-15页

作者： khalid Al-Hezaimi Sundar Ramalingam mansour Al-Askar Aws S ArRejaie Nasser Nooh Fawad Jawad Abdullah Aldahmash Muhammad Atteya Cun-Yu Wang Engineer A.B.Growth Factors and Bone Regeneration Research Chair and 3D Imaging Center College of DentistryKing Saud UniversityRiyadhSaudi Arabia Department of Periodontics and Community Dentistry College of DentistryKing Saud UniversityRiyadhSaudi Arabia Department of Oral and Maxillofacial Surgery College of DentistryKing Saud UniversityRiyadhSaudi Arabia Department of Substitutive Dental Sciences College of DentistryUniversity of DammamDammamSaudi Arabia Stem Cell Unit Department of AnatomyCollege of MedicineKing Saud UniversityRiyadh Division of Oral Biology and Medicine School of DentistryUniversity of California at Los AngelesLos AngelesUSA

The aim of the present real time in vivo micro-computed tomography （pCT） and histologic experiment was to assess the efficacy of guided bone regeneration （GBR） around standardized calvarial critical size defects （CSD） using bone marrow-derived mesenchymal stem cells （BMSCs）, and collagen membrane （CM） with and without tricalcium phosphate （TCP） graft material. In the calvaria of nine female Sprague-Dawley rats, full-thickness CSD （diameter 4.6 mm） were created under general anesthesia. Treatment-wise, rats were divided into three groups. In group 1, CSD was covered with a resorbable CM; in group 2, BMSCs were filled in CSD and covered with CM; and in group 3, TCP soaked in BMSCs was placed in CSD and covered with CM. All defects were closed using resorbable sutures. Bone volume and bone mineral density of newly formed bone （NFB） and remaining TCP particles and rate of new bone formation was determined at baseline, 2, 4, 6, and 10 weeks using in vivo pCT. At the lOth week, the rats were killed and calvarial segments were assessed histologically. The results showed that the hardness of NFB was similar to that of the native bone in groups I and 2 as compared to the NFB in group 3. Likewise, values for the modulus of elasticity were also significantly higher in group 3 compared to groups 1 and 2. This suggests that TCP when used in combination with BMSCs and without CM was unable to form bone of significant strength that could possibly provide mechanical ＂lock＂ between the natural bone and NFB. The use of BMSCs as adjuncts to conventional GBR initiated new bone formation as early as 2 weeks of treatment compared to when GBR is attempted without adiunct BMSC therapy.

关键词： bone marrow-derived mesenchymal stem collagen membrane critical size defect guided bone regeneration tricalciumphosphate

Excision and Partial Primary Closure of Wound for Pilonidal Disease

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Surgical Science 2012年第7期3卷 366-370页

作者： Ahmed Lasheen khalid Safwat mansour Morsy Alaa Fiad Abdelwahab Elmoregy General Surgery Department Faculty of Medicine Zagazig University Zagazig Egypt

Background: Pilonidal disease is a common chronic disorder of the sacrococcygeal region;and its surgical management is still a matter of discussion. The ideal therapy would be a quick cure that allowed patients to return rapidly to normal activity, that is minimally invasive with no morbidity, a low risk of complication and easy to learn. Methods: Sixty seven patients with pilonidal disease were subjected to excision and partial closure procedure, from November 2006 to March 2010 at General Surgery Department, Zagazig University Hospital, Zagazig University, Egypt. The mean age was 27.5 years. Complete but close excision of all diseased tissues was achieved. Then, the wound partially was closed from the deepest parts only by multiples buried vertical mattress sutures by using Lasheen’s needle, and left the superficial wound parts to heal by second intention. The follow up period was ranged from 14 - 39 months (mean 27 months). Results: The mean hospital stay was 12 hours, mean operation time was 30 minutes and mean time to return to normal activity was 8 days (range 7 - 12 days). Nine cases show superficial wound infection and one case of recurrence. Conclusion: Excision and partially closure technique by using Lasheen’s needle for pilonidal diseases is minimal invasive and less morbidity, easy to learn and has favorable results regarding to return to normal activity, rate of recurrence and cosmetically acceptable.

关键词： Partially Closure Lasheen’s Needle Pilonidal Disease

Artificial Intelligence-Driven FVM-ANNModel for Entropy Analysis ofMHD Natural Bioconvection in Nanofluid-Filled Porous Cavities

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Frontiers in Heat and Mass Transfer 2024年第5期22卷 1277-1307页

作者： Noura Alsedais Mohamed Ahmed mansour Abdelraheem M.Aly Sara I.Abdelsalam Department of Mathematical Sciences College of SciencePrincess Nourah bint Abdulrahman UniversityRiyadh11671Saudi Arabia Mathematics Department Faculty of SciencesAssiut UniversityAssiut71515Egypt Department of Mathematics College of ScienceKing Khalid UniversityAbha62529Saudi Arabia Basic Science Faculty of EngineeringThe British University in EgyptAl-Shorouk CityCairo11837Egypt Instituto de Ciencias Matemáticas ICMAT CSICUAMUCMUC3MMadrid28049Spain

The research examines fluid behavior in a porous box-shaped *** fluid contains nanoscale particles and swimming microbes and is subject to magnetic forces at an *** circulation driven by biological factors is *** analysis combines a traditional numerical approach with machine learning *** equations describing the system are transformed into a dimensionless form and then solved using computational *** artificial neural network(ANN)model,trained with the Levenberg-Marquardt method,accurately predicts(Nu)values,showing high correlation(R=1),low mean squared error(MSE),and minimal error *** analysis reveals significant effects of parameters,length and location of source(B),(D),heat generation/absorption coefficient(Q),and porosity parameter(ε).Increasing the cooling area length(B)reduces streamline intensity and local Nusselt and Sherwood numbers,while decreasing isotherms,isoconcentrations,and *** Bejan number(Be+)decreases with increasing(B),whereas(Be+++),and global entropy(e+++)*** in(Q)slightly affect streamlines but reduce isotherm intensity and average Nusselt ***(D)significantly impacts isotherms,iso-concentrations,andmicro-rotation,altering streamline contours and local Bejan number ***(ε)enhances streamline strength and local Nusselt number profiles but has mixed effects on average Nusselt *** findings highlight the complex interactions between cooling area length,fluid flow,and heat transfer *** combining finite volume method(FVM)with machine learning technique,this study provides valuable insights into the complex interactions between key parameters and heat transfer,contributing to the development of more efficient designs in applications such as cooling systems,energy storage,and bioengineering.

关键词： ANN model finite volume method natural bioconvection flow magnetohydrodynamics(MHD) porous media

New insights on thermal ageing of electrical insulating oils as revealed from photoluminescence and absorption spectroscopy

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High Voltage 2024年第5期9卷 1033-1045页

作者： Hesham S.Karaman Eman G.Atiya Diaa-Eldin A.mansour Mohsen Ghali Z.M.S.Elbarbary Manal M.Emara Department of Electrical Engineering Faculty of Engineering at ShoubraBenha UniversityCairoEgypt Department of Electrical Power and Machines Engineering Faculty of EngineeringTanta UniversityTantaEgypt Department of Electrical Power Engineering Faculty of EngineeringEgypt-Japan University of Science and Technology(E-JUST)New Borg El-Arab CityAlexandriaEgypt Department of Energy Materials Institute of Basic and Applied ScienceEgypt-Japan University of Science and Technology(E-JUST)New Borg El-Arab CityAlexandriaEgypt Department of Physics Faculty of ScienceKafrelsheikh UniversityKafrelsheikhEgypt Department of Electrical Engineering College of EngineeringKing Khalid UniversityAbhaSaudi Arabia Center for Engineering and Technology Innovations King Khalid UniversityAbhaSaudi Arabia Department of Electrical Engineering Faculty of EngineeringKafrelsheikh UniversityKafrelsheikhEgypt

Recently,significant efforts have been exerted to replace mineral oil with environmentally friendly oils due to safety and environmental ***,there is a need to clarify the physical mechanisms behind the ageing impact of these *** authors use advanced optical spectroscopy techniques in correlation with dielectric measurements to understand the ageing processes in environmentally friendly oils as well as mineral ***,different samples of environmentally friendly oils and mineral oil were utilised to investigate the ageing *** samples were subjected to different ageing periods using a thermal accelerated ageing ***,the severity of the produced byproducts due to the oil degradation is examined based on several measured properties representing macroscopic and microscopic *** macroscopic category was evaluated through dielectric properties,including breakdown voltage,dielectric permittivity,and dissipation *** microscopic category,on the other hand,was assessed using techniques such as ultraviolet-visible absorption spectroscopy and photoluminescence *** techniques enabled a deep understanding of the molecular-level changes occurring in the oil under ageing conditions,thereby getting new insights into oil ageing *** is worth mentioning that natural ester oil demonstrated the most favourable performance across various properties under ageing conditions.

关键词： absorption thermal spectroscopy

L-Arginine Supplementation Alters Maternal Blood Biochemical Attributes and Milk Composition Relative to Neonatal Traits of <i>Najdi</i>Ewes

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Open Journal of Animal Sciences 2019年第3期9卷 341-354页

作者： Moustafa M. Zeitoun Ahmed A. Al-Ghoneim khalid A. Al-Sobayil Yasser R. Hassanein Mohamed M. mansour Kheir El-Din M. El-Azrak Marwa F. A. Attia Tariq I. Almundarij Department of Animal Production and Breeding College of Agriculture and Veterinary Medicine Qassim University Buriedah KSA Department of Animal and Fish Production Faculty of Agriculture Alexandria University El-Shatby Egypt Ministry of Agriculture Riyadh KSA Department of Hematology College of Applied Medical Sciences Qassim University Buriedah KSA Department of Animal Production Faculty of Agriculture Damanhur University Damanhur Egypt Department of Veterinary Medicine College of Agriculture and Veterinary Medicine Qassim University Buriedah KSA

In a 2 × 3 factorial arrangement, 3 levels of L-arginine (0, 75 and 150 mg/kg BW per day) were tested at two stages of pregnancy (Early 60 days vs. Late 60 days) on the maternal blood metabolites and postnatal milk composition relative to the newborn traits of Najdi ewes. Thirty adult pregnant Najdi ewes were randomly assigned into 6 treatments (n = 5). Control early (CE) ewes were orally administered 50 mL normal saline (0.9% NaCl) daily during the first 60 days of pregnancy;control late (CL) ewes were similar to CE except saline was given at the last 60 days of pregnancy;low dose of L-arginine at early pregnancy (LE);low dose of L-arginine at late pregnancy (LL);high dose of L-arginine at early (HE) and high dose of L-arginine at late pregnancy (HL). Blood and milk samples were collected on a weekly basis. Data of lambing and newborn traits were considered. There were non-significant differences in litter size due to L-arginine;however lamb birth and weaning weights increased by 35% in LE-ewes. Arginine did not change blood protein and albumin. Low arginine decreased lipid fractions, creatinine, urea, and milk fat;however, it increased AST, ALT, milk lactose and milk ash. Administration of L-arginine at 75 mg/Kg BW per day for 60 days at an early gestation in ewes improved the maternal body health and milk composition for the welfare of the neonates.

关键词： L-Arginine Ewes Fetus Metabolites Lactation Offspring

Evaluation of Bilateral Mental Nerve Block as an Alternative to General Anesthesia for Resection of Lower Lip Tumors

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Surgical Science 2017年第8期8卷 319-325页

作者： Ashraf Khater Islam A. Elzahaby Mohamed Hamdy Mohammad Zuhdy Omar Hamdy Mohamed Ezzat Mahmoud Abdelaziz Ahmad M. Farid mansour Elmoatasem Amr Hassan khalid Atallah Mahmoud Mostafa Saleh Maha A. Abo-Zeid Amr Yassin Ola Taha Abd Eldayem Mona Gad Department of Surgical Oncology Mansoura Oncology Center (OCMU) Faculty of Medicine Mansoura University Mansoura Egypt Anesthesia and Surgical Intensive Care Department Mansoura University Hospital Faculty of Medicine Mansoura University Mansoura Egypt

Objective: Nerve blockade is commonly used in oncosurgical procedures as an alternative to general anesthesia for older patients and those with significant medical problems. We report a single tertiary oncology center experience in performing various lip resections and reconstructive techniques using this technique. Patients and methods: sixty patients with lower lip tumors were enrolled into this study with exclusion of refusing, non-compliant and critically ill patients. A solution of 4 ml 2% Lidocaine and epinephrine was put in a 5 ml syringe. Half the solution (2 ml) was injected into each side with a 23 gauge needle and after 5 minutes the surgical resection was carried out after testing for anesthesia. Results: The mean age was 68 ± 6.2 years. The mean ASA score was 3 ± 0.75. There were 4 cases who expressed painful sensation and their operations were completed with fentanyl increments. Mean hospital stay was 1 ± 0.75 days. There were three cases of wound gaping who were treated with secondary closure in an outpatient basis. One patient expressed postoperative acute ischemic heart pain that was managed with anti-ischemic measurements. Conclusion: Bilateral mental nerve block is a safe and effective alternative to general anesthesia in lower lip tumors’ resection especially in older patients and those with poor tolerance for general anesthesia provided that there is no need for cervical nodal dissection.

关键词： Mental Nerve Block Lip Tumors Lidocaine

POPs in <i>Sparus auratus</i>Species from the Eastern and Western Egyptian Mediterranean Coast: A Health Hazard Study

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Open Journal of Marine Science 2017年第2期7卷 317-326页

作者： Tarek O. Said Mohamed A. mansour Fahmy M. El-Sharkawi Manal A. Mohamed Mohamed A. Shreadah National Institute of Oceanography and Fisheries Alexandria Egypt Chemistry Department College of Science King Khalid University Abha KSA Environmental Health Department High Institute of Public Health Alexandria University Alexandria Egypt

The residual concentrations of HCHs, TC, DDTs, THCs and PCBs were measured in Sparus auratus collected from the eastern and western sectors of the Egyptian Mediterranean Sea, as the most common fish species in the area. Gas chromatograph equipped with 63Ni-electron capture detector and 35% phenyl polysilphenylenesiloxane capillary column was used for the analysis and quantification after well-established extraction techniques. The concentrations (wet weight) of PCBs, DDTs, TCs, HCHs were: (1.87 - 616.66 ng·g-1), (0.42 - 98.28 ng·g-1), (0.06 - 2.94 ng·g-1), (0.35 - 11.77 ng·g-1), respectively in Sparus auratus collected from the eastern sector. However, these concentrations as wet weight in Sparus auratus from the western sector were: (5.75 - 605.53 ng·g-1), (1.53 - 226.47 ng·g-1), (0.09 - 8.12 ng·g-1), (0.26 - 5.80 ng·g-1), respectively. In general, concentrations of pesticides and PCBs in Sparus auratus either from the western or eastern Egyptian Mediterranean coast were far below the international permissible levels.

关键词： Pesticides PCBs THC Sparus auratus Mediterranean Egypt