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Attractive Multistep Reproducing Kernel Approach for Solving Stiffness Differential Systems of Ordinary Differential Equations and Some Error Analysis

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Computer Modeling in Engineering & Sciences 2022年第1期130卷 299-313页

作者： radwan Abu-Gdairi Shatha Hasan Shrideh Al-Omari Mohammad Al-Smadi Shaher Momani Department of Mathematics Faculty of ScienceZarqa UniversityZarqa13132Jordan Department of Applied Science Ajloun CollegeAl-Balqa Applied UniversityAjloun26816Jordan Department of Physics and Basic Sciences Faculty of Engineering TechnologyAl-Balqa Applied UniversityAmman11134Jordan Nonlinear Dynamics Research Center(NDRC) Ajman UniversityAjman20550United Arab Emirates Department of Mathematics Faculty of ScienceThe University of JordanAmman11942Jordan

In this paper,an efficient multi-step scheme is presented based on reproducing kernel Hilbert space(RKHS)theory for solving ordinary stiff differential *** solution methodology depends on reproducing kernel functions to obtain analytic solutions in a uniform formfor a rapidly convergent series in the posed Sobolev *** the Gram-Schmidt orthogonality process,complete orthogonal essential functions are obtained in a compact field to encompass Fourier series expansion with the help of kernel properties ***,by applying the standard RKHS method to each subinterval,approximate solutions that converge uniformly to the exact solutions are *** this purpose,several numerical examples are tested to show proposed algorithm’s superiority,simplicity,and *** gained results indicate that themulti-step RKHSmethod is suitable for solving linear and nonlinear stiffness systems over an extensive duration and giving highly accurate outcomes.

关键词： Multi-step approach reproducing kernel Hilbert space method stiffness system error analysis numerical solution

Approximations by Ideal Minimal Structure with Chemical Application

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Intelligent Automation & Soft Computing 2023年第6期36卷 3073-3085页

作者： Rodyna A.Hosny radwan Abu-Gdairi Mostafa K.El-Bably Department of Mathematics Faculty of ScienceZagazig UniversityZagazig44519Egypt Department of Mathematics Faculty of ScienceZarqa UniversityZarqa13132Jordan Department of Mathematics Faculty of ScienceTanta UniversityTanta31527Egypt

The theory of rough set represents a non-statistical methodology for analyzing ambiguity and imprecise *** can be characterized by two crisp sets,named the upper and lower approximations that are used to determine the boundary region and accurate measure of any *** article endeavors to achieve the best approximation and the highest accuracy degree by using the minimal structure approximation space MSAS via ideal *** novel approach(indicated by JMSAS)modifies the approximation space to diminish the bound-ary region and enhance the measure of *** suggested method is more accurate than Pawlak’s and EL-Sharkasy *** illustrated examples,several remarkable results using these notions are obtained and some of their properties are *** sorts of near open(***)sets based on JMSAS are ***,the connections between these assorted kinds of near-open sets in JMSAS are *** advantages and disadvan-tages of the proposed approach compared to previous ones are *** algorithm using MATLAB and a framework for decision-making problems are ***,the chemical application for the classification of amino acids(AAs)is treated to highlight the significance of applying the suggested approximation.

关键词： Ideal minimal structure spaces rough set theory approximation spaces

N1-soliton solution for Schrodinger equation with competing weakly nonlocal and parabolic law nonlinearities

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Communications in Theoretical Physics 2020年第6期72卷 129-135页

作者： Mohammed O Al-amr Hadi Rezazadeh Khalid K Ali Alper Korkmazki Department of Mathematics College of Computer Sciences and MathematicsUniversity of MosulMosul 41002Iraq Faculty of Engineering Technology Amol University of Special Modern TechnologiesAmolIran Mathematics Department Faculty of ScienceAl-Azhar UniversityNasr-CityCairoEgypt Nord StaBe 9 WeimarGermany

The nonlocal nonlinear Schr?dinger equation(NNLSE)with competing weakly nonlocal nonlinearity and parabolic law nonlinearity is explored in the current work.A powerful integration tool,which is a modified form of the simple equation method,is used to construct the dark and singular 1-soliton *** is shown that the modified simple equation method provides an effective and powerful mathematical gadget for solving various types of NNLSEs.

关键词： Schrodinger equation soliton integrability modified simple equation method

Molecular and functional characterization of the American cockroach, Periplaneta americana, Rab5： the first exopterygotan low molecular weight ovarian GTPase during oogenesis

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Insect Science 2018年第5期25卷 751-764页

作者： Mohamed Elmogy amr A. Mohamed Muhammad Tufail Tomohide Uno Makio Takeda Department of Entomology Faculty of Science Cairo University Orman Giza Egypt Department of Plant Protection College of Food and Agriculture Sciences King Saud University Riyadh Saudi Arabia Graduate School of Agricultural Science Kobe University Nada- ku Kobe Japan Laboratory of Biological Chemistry Faculty of Agriculture Department of Biofuncfional Chemistry Kobe University Nada-ku Hyogo Japan

The small Rab GTPases are key regulators of membrane vesicle trafficking. Ovaries of Periplaneta americana （Linnaeus）（Blattodea： Blattidae） have small molecular weight GTP/ATP-binding proteins during early and late vitellogenic periods of oogenesis. However, the identification and characterization of the detected proteins have not been yet reported. Herein, we cloned a cDNA encoding Rab5 from the American cockroach, P. americana, ovaries （Pamrab5）. It comprises 796 bp, encoding a protein of 213 amino acid residues with a predicted molecular weight of 23.5 kDa. Pamrab5 exists as a single-copy gene in the P. americana genome, as revealed by Southern blot analysis. An approximate 2.6 kb ovarian mRNA was transcribed especially at high levels in the previtellogenic ovaries, detected by Northern blot analysis. The muscle and head tissues also showed high levels of Pamrab5 transcript. Pamrab5 protein was localized, via immunofluorescence labeling, to germline-derived cells of the oocytes, very early during oocyte differentiation. Immunoblotting detected a ~25 kDa signal as a membrane-associated form revealed after application of detergent in the extraction buffer, and 23 kDa as a cytosolic form consistent with the predicted molecular weight from amino acid sequence in different tissues including ovary, muscles and head. The Pamrab5 during late vitellogenic periods is required to regulate the endocytotic machinery during oogenesis in this cockroach. This is the first report on Rab5 from a hemimetabolan, and presents an inaugural step in probing the molecular premises of insect oocyte endocytotic trafficking important for oogenesis and embryonic development.

关键词： endocytosis membrane trafficking oogenesis Periplaneta americana Rab5-GTPase

Hepatic Hemangioendothelioma: An update

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World Journal of Gastrointestinal Oncology 2020年第3期12卷 248-266页

作者： Mayur Virarkar Mohammed Saleh radwan Diab Melissa Taggart Peeyush Bhargava Priya Bhosale Department of Diagnostic Radiology The University of Texas MD Anderson Cancer CenterHoustonTX 77030United States Department of Pathology The University of Texas MD Anderson Cancer CenterHoustonTX 77030United States Department of Radiology The University of Medical BranchGalvestonTX 77555United States

Primary epithelioid hemangioendotheliomas of the liver(EHL)are rare tumors with a low *** molecular background of EHL is still under investigation,with WWTR1-CAMPTA1 mutation may function as a tumor ***,this tumor is misdiagnosed with angiosarcoma,cholangiocarcinomas,metastatic carcinoma,and hepatocellular carcinoma(sclerosing variant).Characteristic features on imaging modalities such as ultrasound,computed tomography,magnetic resonance imaging and positron emission tomography/computed tomography guide in diagnosis and ***“halo sign”and the“lollipop sign”on computed tomography and magnetic resonance imaging are described in the ***,there are no standardized guidelines for treating EHL with treatment options are broad including:chemotherapy,ablation,surgery and liver transplantation with inconsistent results.

关键词： Epithelioid hemangioendotheliomas Halo sign Lollipop sign Angiosarcoma Cholangiocarcinomas Hepatocellular carcinoma

Optimal and Memristor-Based Control of A Nonlinear Fractional Tumor-Immune Model

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Computers, Materials & Continua 2021年第6期67卷 3463-3486页

作者： amr M.S.Mahdy Mahmoud Higazy Mohamed S.Mohamed Department of Mathematics College of ScienceTaif UniversityTaif21944Saudi Arabia Department of Mathematics Faculty of ScienceZagazig UniversityZagazig44519Egypt Department of Physics and Engineering Mathematics Faculty of Electronic engineeringMenoufia UniversityMenouf32952Egypt Department of Mathematics Faculty of ScienceAl-Azher UniversityNasr City11884Egypt

In this article,the reduced differential transform method is introduced to solve the nonlinear fractional model of *** fractional derivatives are described in the Caputo *** solutions derived using this method are easy and very *** model is given by its signal flow ***,a simulation of the system by the Simulink of MATLAB is *** disease-free equilibrium and stability of the equilibrium point are *** of a fractional optimal control for the cancer model is *** addition,to control the system,we propose a novel modification of its *** modification is based on converting the model to a memristive one,which is a first time in the literature that such idea is used to control this type of ***,we study the system’s stability via the Lyapunov exponents and Poincare maps before and after *** order differential equations(FDEs)are commonly utilized to model systems that have memory,and exist in several physical phenomena,models in thermoelasticity field,and biological *** have been utilized to model the realistic biphasic decline manner of elastic systems and infection of diseases with a slower rate of *** are more useful than integer-order in modeling sophisticated models that contain physical phenomena.

关键词： RDTM tumor-immune optimal control caputo derivative signal flow simulink disease-free equilibrium stability memristive lyapunov exponents poincare map

Geochemical,mineralogical and sedimentological analyses of reworked sediments(new)in the syn-to post-rift Middle Cretaceous-Quaternary detrital deposits from western Atlantic margin of Cameroon:evidence from sedimentation-erosion alternation in the cont

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Acta Geochimica 2021年第5期40卷 676-701页

作者： Milan Stafford Tchouatcha Arnaud Patrice Kouske amr Said Deaf Arthur Paterne Mioumnde Department of Earth Sciences University of DschangP.O.Box 67DschangCameroon Higher Institute of Chemistry and Management P.O.Box 4789YaoundeCameroon University Institute of Technology University of DoualaP.O.Box 8698DoualaCameroon Department of Geology Faculty of ScienceAssiut UniversityAsyut 71516Egypt Institute for Geological and Mining Research B.P.4110Yaounde´Cameroon

Reworked detrital sediments were discovered in the syn-rift to post-rift Cretaceous to Quaternary(Pleistocene)detrital deposits of the Douala coastal sub-basin in the eastern margin of the South Atlantic Ocean at West *** contribution presents the geochemical,mineralogical,and sedimentological data to constrain the origin of these reworked *** investigated samples are characterized by the high values of Plagioclase Index of Alteration(PIA,97.83–99.90),Chemical Index of Alteration(CIA,71.9–99.08),and Chemical Index of Weathering(CIW,98.67–99.90).Data gleaned from these indices suggest that the reworked sediments and their potential source rocks experienced severe *** A-CN-K plot along with the mineralogical indicates a probably post-depositional *** high light rare earth elements(LREE)/heavy rare earth elements(HREE)ratios(15.82–79.13)suggest that the reworked were mainly derived from felsic igneous *** interpretation is further confirmed by the Zr versus TiO2,TiO2/Al2O3,Th/Co versus La/Sc,and La/Th versus Th/Yb plots,which indicate felsic igneous and silicic source ***,the high variability of LREE/HREE ratios(15.82–79.13)and the positive Eu anomalies(1.10–1.32)of studied samples could indicate a little contribution of mafic source *** of the distribution of the heavy minerals(***,aluminum silicate,and rutile)revealed that these felsic and silicic source rocks are mainly granite and gneiss,probably belonging to the Nyong Group and the Western part of the Neoproterozoic Yaounde *** morphoscopic analyses of the host rocks(very angular to angular shapes)have revealed that the reworked sediments have proximal to subproximal onshore origins,probably from former sedimentary deposits,as is indicated by variation of their *** tectonic discriminant diagram indicates the Oceanic Island Arc and Active Continental Margin which are inconsistent with the geological history of the Doual

关键词： Reworked sediments Geochemistry Mineralogy Sedimentology Nyong and yaoundégroups Douala coastal sub-basin Cameroon

Design framework for robotic surgery wards at hospitals:Computational implementation

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Frontiers of Architectural Research 2020年第3期9卷 514-540页

作者： Randa M.A.Mahmoud amr M.A.Youssef Department of Architectural Ensineering Assiut UniversityAssiut 71518Egypt

Robotic surgery is one of the most recent technologies in healthcare building *** to the design complexity of Robotic surgery wards,computational implementations are being developed to either measure the effect of inserting advanced technologies as Electronic medical recorders and tele surgery,or evaluate design alternatives on healthcare *** paper presents a design framework that responds to the need for coordinating design phases for Robotic Surgery Wards(RSWs)*** proposed design framework for RSWs can generate functional RSW alternatives and more than one solution for each *** framework has been structured based on the main architectural considerations of RSWs which are geom etric and topological,the economic considerations,specific developed pools for shape and corridor patterns,and the theory of,fShape Grammars"has been utilized to compute the framework to generate a vast number of design ***,a computational implementation has been established to assist designers in early design *** validation for the applications of the developed framework and implementation has been conducted by using reference examples of *** main finding in this paper is providing healthcare building designers with a computational implementation that generates RSW alternative computationally based on specific shape and cost levels.

关键词： Robotic surgery ward design Architectural and economic design consideration Design framework Computational implementation Shape grammar

The Effect of Atrial Septal Defect Closure on Cardiac Volumetric Changes in Adults, Transcatheter Versus Surgical Closure, a Pilot Cardiac Magnetic Resonance Study

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Congenital Heart Disease 2023年第6期18卷 679-691页

作者： amr Mansour Noha M.Gamal Alaa M.Nady amr Ibraheem Dalia M.Salah Khaled M.El-Maghraby Cardiology Department Congenital and Structural Heart Disease UnitAin Shams University HospitalsFaculty of MedicineAin Shams UniversityCairoEgypt Cardiology Department Faculty of MedicineAssuit UniversityAssuitEgypt Cardiothoracic Surgery Department Faculty of MedicineAssuit UniversityAssuitEgypt Anesthesia Department Faculty of MedicineAssuit UniversityAssuitEgypt

Background:Closure of an atrial septal defect(ASD)reduces right-side heart volumes by abolishing shunting with simultaneous improvement of the left ventricle(LV)ﬁlling and functions due to ventricular interdependence,thereby improving ***,studies conducted on atrial volume changes after ASD closure are *** magnetic resonance(CMR)is considered as the gold standard method for measuring cardiac volume and ***:We aimed to study the effect of transcatheter and surgical closure of secundum ASD on cardiac volumes and systolic functions as well as the fate of tricuspid regurgitation(TR),using CMR ***:We prospectively enrolled 30 adult patients with isolated secundum ASD who were referred to ASD *** evaluation of cardiac chambers indexed volumes,systolic function,myocardial mass index,and tricuspid regurgitant fraction were done at before and 6 months after ***:RV volumes decreased in both groups when compared to baseline(p-value 0.001),the device group had more reduction in volumes and more improvement in RV function after closure(p-value 0.001)when compared to the surgical *** changes in the RV mass index were insigniﬁcant between both groups(p-value 0.31).Functional TR improved to the same extent in both *** ventricular end diastolic volume index(LVEDVI)and LV mass index increased sig-niﬁcantly in both groups when compared to baseline in both groups but with no difference between groups p-value 0.01),left ventricular end systolic volume index(LVESVI)changes were insigniﬁ*** systolic function improved in patients who underwent device closure only(63.53±3.85 vs.67.13±4.34,p-value 0.01).There was a signiﬁcant reduction in right atrial(RA)volumes and an insigniﬁcant decrease in left atrial(LA)volumes,with no difference between ***:Transcatheter and surgical secundum ASD closure resulted in volumetric changes in some cardiac chambers with better improvement in bi-ventricular

关键词： Atrial septal defect closure cardiac volumetric changes functional tricuspid regurgitation cardiac CMR