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Multipartite quantum correlations among atoms in QED cavities

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Frontiers of physics 2018年第1期13卷 163-178页

作者： J. Batle A. Farouk O. Tarawneh s. abdalla Departament de Fisica Universitat de les Illes Balears 07122 Palma de Mallorca Balearic Islands Spain Faculty of Computer and Information sciences Mansoura University Egypt Information Technology Department Al-Zahra College for Women P.O. Box 3365 Muscat Oman Department of Physics Faculty of Science King Abdulaziz University Jeddah P.O. Box 80203. Jeddah 21589 Saudi Arabia

We study the nonlocality dynamics for two models of atoms in cavity quantum electrodynamics （QED）; the first model contains atoms in a single cavity undergoing nearest-neighbor interactions with no initial correlation, and tile second contains atoms confined in n different and noninteracting cavities, all of which were initially prepared in a maximally correlated state of n qubits corresponding to the atomic degrees of freedom. The nonlocality evolution of the states in the second model shows that the corresponding maximal violation of a multipartite Bell inequality exhibits revivals at precise times, defining, nonlocality sudden deaths and nonlocality sudden rebirths, in analogy with entanglement. These quantum correlations are provided analytically for the second model to make the study more thorough. Differences in the first model regarding whether the array of atoms inside the cavity is arranged in a periodic or open fashion are crucial to the generation or redistribution of quantum correlations. This contribution paves the way to using the nonlocality multipartite correlation measure for describing the collective complex behavior displayed by slightly interacting cavity QED arrays.

关键词： quantum optics cavity quantum electrodynamics multipartite nonlocality

serum resistin and the risk for hepatocellular carcinoma in diabetic patients

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World Journal of Gastroenterology 2023年第27期29卷 4271-4288页

作者： Mona Mohamed Ibrahim abdalla Department of Human Biology School of MedicineInternational Medical UniversityBukit Jalil 57000Kuala LumpurMalaysia

Hepatocellular carcinoma(HCC),the predominant type of liver cancer,is a major contributor to cancer-related fatalities across the *** has been identified as a significant risk factor for HCC,with recent research indicating that the hormone resistin could be involved in the onset and advancement of HCC in diabetic *** is a hormone that is known to be involved in inflammation and insulin *** with HCC have been observed to exhibit increased resistin levels,which could be correlated with more severe disease stages and unfavourable ***,the exact processes through which resistin influences the development and progression of HCC in diabetic patients remain *** article aims to examine the existing literature on the possible use of resistin levels as a biomarker for HCC development and ***,it reviews the possible pathways of HCC initiation due to elevated resistin and offers new perspectives on comprehending the fundamen-tal mechanisms of HCC in diabetic *** a better understanding of these processes may yield valuable insights into HCC’s development and progression,as well as identify possible avenues for prevention and therapy.

关键词： Hepatocellular carcinoma Resistin Insulin resistance Obesity Diabetes Liver cancer

Four-step Iteration scheme to Approximate Fixed Point for Weak Contractions

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Computers, Materials & Continua 2020年第9期64卷 1491-1504页

作者： Wasfi shatanawi Anwar Bataihah abdalla Tallafha Department of Mathematics and General Courses Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40402Taiwan Department of M-Commerce and Multimedia Applications Asia UniversityTaichung41354Taiwan Department of Mathematics School of ScienceThe University of JordanAmman11942Jordan

Fixed point theory is one of the most important subjects in the setting of metric spaces since fixed point theorems can be used to determine the existence and the uniqueness of solutions of such mathematical *** is known that many problems in applied sciences and engineering can be formulated as functional *** equations can be transferred to fixed point theorems in an easy ***,we use the fixed point theory to prove the existence and uniqueness of solutions of such integral and differential *** X be a non-empty set.A fixed point for a self-mapping T on X is a point𝑒𝑒∈𝑋𝑋that satisfying T e=*** of the most challenging problems in mathematics is to construct some iterations to faster the calculation or approximation of the fixed point of such *** mathematicians constructed and generated some new iteration schemes to calculate or approximate the fixed point of such problems such as Mann et al.[Mann(1953);Ishikawa(1974);sintunavarat and Pitea(2016);Berinde(2004b);Agarwal,O’Regan and sahu(2007)].The main purpose of the present paper is to introduce and construct a new iteration scheme to calculate or approximate the fixed point within a fewer number of steps as much as we *** prove that our iteration scheme is faster than the iteration schemes given by sintunavarat et al.[sintunavarat and Pitea(2016);Agarwal,O’Regan and sahu(2007);Mann(1953);Ishikawa(1974)].We give some numerical examples by using MATLAB to compare the efficiency and effectiveness of our iterations scheme with the efficiency of Mann et al.[Mann(1953);Ishikawa(1974);sintunavarat and Pitea(2016);Abbas and Nazir(2014);Agarwal,O’Regan and sahu(2007)]***,we introduce a problem raised from Newton’s law of cooling as an application of our new iteration ***,we support our application with a numerical example and figures to illustrate the validity of our iterative scheme.

关键词： Weak contraction fixed point iteration scheme mean value theorem

salivary resistin level and its association with insulin resistance in obese individuals

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World Journal of Diabetes 2021年第9期12卷 1507-1517页

作者： Mona Mohamed Ibrahim abdalla Human Biology Department School of MedicineInternational Medical UniversityKuala Lumpur 57000Malaysia

The escalating global burden of type 2 diabetes mellitus necessitates the implementation of strategies that are both more reliable and faster in order to improve the early identification of insulin resistance(IR)in high-risk groups,including overweight and obese *** use of salivary biomarkers offers a promising alternative to serum collection because it is safer,more comfortable,and less painful to obtain saliva *** obesity is the foremost contributory factor in IR development,the adipocytokines such as leptin,adiponectin,resistin,and visfatin secreted from the adipose tissue have been studied as potential reliable biomarkers for *** of salivary adipokines as predictors for IR has attracted widespread attention because of the strong correlation between their blood and salivary *** of the adipokines that is closely related to IR is ***,there are conflicting findings on resistin’s potential role as an etiological link between obesity and IR and the reliability of measuring salivary resistin as a biomarker for *** this study reviewed the available evidence on the potential use of salivary resistin as a biomarker for IR in order to attempt to gain a better understanding of the role of resistin in the development of IR in obese individuals.

关键词： Homeostatic model assessment of insulin resistance Insulin resistance Obesity salivary resistin Diabetes Adipocytokines

A Minimizing Property of Homographic solutions

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Acta Mathematica sinica,English series 2014年第2期30卷 353-360页

作者： abdalla M.MANsUR Daniel C.OFFIN Department of Mathematics and statistics Queen’s University

In this paper, we prove that the homographic solutions to the rhombus four body prob- lem are the variational minimizers of the Lagrangian action restricted on a holonomically constrained rhombus loop space.

关键词： Nbody problems holonomic systems action functional

Does the Application of Deep Brain stimulation to Modulate Memory and Neural Circuity in AD Hold substantial Promise?

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Neuroscience Bulletin 2022年第5期38卷 553-557页

作者： abdalla Bowirrat shai Ashkenazi Aia Bowirrat Albert Pinhasov Adelson school of Medicine and Department of Molecular Biology Ariel University40700 ArielIsrael Adelson school of Medicine Ariel University40700 ArielIsrael Department of Orthopedic surgery Hasharon HospitalRabin Medical CenterTel Aviv University4941492 Petah-TikvaIsrael

Alzheimer's disease(AD)is known to be a progressive neurodegenerative illness that attacks the brain,causing alterations in synaptic transmission,dystrophic neurites,and neuronal death brought on by the accumulation of neurofibrillary tangles in neuronsand neuritic amyloidbeta(Aβ)plaques in the extracellular space resulting in brain shrinkage and misshapen architecture[1].

关键词： alterations Aβ Alzheimer

sediment balances in the Blue Nile River Basin

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International Journal of sediment Research 2014年第3期29卷 316-328页

作者： Yasir s.A.ALI Alessandra CROsATO Yasir A.MOHAMED seifeldin H.abdalla Nigel G.WRIGHT UNEsCO-IHE Westvest 72601 DA Delftthe Netherlands and Hydraulics Research CenterMinistry of Water Resources and ElectricityP.O.Box 318Wad MedaniSudan UNEsCO-IHE Westvest 72601 DA Delft and Profat Hydraulics Research CenterMinistry of Water Resources and Electricity school of Civil Engineering University of LeedsFaculty of EngineeringLeeds LS2 9JT.United Kingdom Water Resources Technical Organ Ministry of Water Resources and ElectricityKhartoumSudan UNEsCO-IHE Westvest 72601 DA Delft and Research Associate at Civil Engineering and Geosciences Delft University of TechnologyStevin weg 12628 CN Delftthe Netherlands

Rapid population growth in the upper Blue Nile basin has led to fast land-use changes from natural forest to agricultural *** resulted in speeding up the soil erosion process in the highlands and increasing sedimentation further downstream in reservoirs and irrigation *** present,several dams are planned across the Blue Nile River in Ethiopia and the Grand Ethiopian Renaissance Dam is currently under construction near the border with *** will be the largest hydroelectric power plant in *** objective of this paper is to quantify the river flows and sediment loads along the Blue Nile River *** soil and Water Assessment Tool was used to estimate the water flows from un-gauged *** assess model performance,the estimated sediment loads were compared to the measured ones at selected *** the gauged sub-basins,water flows and sediment loads were derived from the available flow and sediment *** fill in knowledge gaps,this study included a field survey in which new data on suspended solids and flow discharge were collected along the Blue Nile and on a number of *** comparison between the results of this study and previous estimates of the sediment load of the Blue Nile River at El Deim,near the Ethiopian sudanese border,show that the sediment budgets have the right order of magnitude,although some uncertainties *** gives confidence in the results of this study providing the first sediment balance of the entire Blue Nile catchment at the sub-basin scale.

关键词： Blue Nile basin sediment balance Field data Rating curve sWAT model

On the Approximation of Fractal-Fractional Differential Equations Using Numerical Inverse Laplace Transform Methods

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Computer Modeling in Engineering & sciences 2023年第6期135卷 2743-2765页

作者： Kamran siraj Ahmad Kamal shah Thabet Abdeljawad Bahaaeldin abdalla Department of Mathematics Islamia College PeshawarKhyber Pakhtoon KhwaPeshawar25120Pakistan Department of Mathematics and sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan

Laplace transform is one of the powerful tools for solving differential equations in engineering and other science *** the Laplace transform for solving differential equations,however,sometimes leads to solutions in the Laplace domain that are not readily invertible to the real domain by ***,we need numerical inversionmethods to convert the obtained solution fromLaplace domain to a real *** this paper,we propose a numerical scheme based on Laplace transform and numerical inverse Laplace transform for the approximate solution of fractal-fractional differential equations with orderα,β.Our proposed numerical scheme is based on three main ***,we convert the given fractal-fractional differential equation to fractional-differential equation in Riemann-Liouville sense,and then into Caputo ***,we transformthe fractional differential equation in Caputo sense to an equivalent equation in Laplace *** the solution of the transformed equation is obtained in Laplace ***,the solution is converted into the real domain using numerical inversion of Laplace *** inversion methods are evaluated in this paper,and their convergence is also *** test problems are used to validate the inversion *** demonstrate our results with the help of tables and *** obtained results show that Euler’s and Talbot’s methods performed better than stehfest’s method.

关键词： Fractal-fractional differential equation power law kernel exponential decay kernel Mittag-Leffler kernel Laplace transform Euler’s method Talbot’s method stehfest’s method

Hawking radiation received at infinity in higher dimensional Reissner-Nordstrom black hole spacetimes

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Chinese Physics C 2021年第8期45卷 182-189页

作者： Kai Lin Wei-Liang Qian Xilong Fan Bin Wang Elcio abdalla Hubei subsurface Multi-scale Imaging Key Laboratory Institute of Geophysics and GeomaticsChina University of GeosciencesWuhan 430074China Escola de Engenharia de Lorena Universidade de Sao Paulo12602-810LorenaSPBrazil Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China Faculadade de Engenharia de Guaratingueta Universidade Estadual PaulistaGuaratinguetaSPBrazil school of Physics and Technology Wuhan UniversityWuhan 430072China Instituto de Fisica Universidade de Sao PauloSao PauloBrazil

In this study,we investigate the Hawking radiation in higher dimensional Reissner-Nordstrom black holes as received by an observer located at *** frequency-dependent transmission rates,which deform the thermal radiation emitted in the vicinity of the black hole horizon,are evaluated *** addition to those in four-dimensional spacetime,the calculations are extended to higher dimensional Reissner-Nordstrom metrics,and the results are observed to be sensitive to the spacetime dimension to an ***,we observe that the transmission coefficient practically vanishes when the frequency of the emitted particle approaches *** increases with frequency and eventually saturates to a certain *** four-dimensional spacetime,the above result is demonstrated to be mostly independent of the metric's parameter and the orbital quantum number of the particle,when the location of the event horizon,rh,and the product of the charges of the black hole and the particle qQ are ***,for higher-dimensional scenarios,the convergence becomes more ***,the difference between states with different orbital quantum numbers is observed to be more *** the magnitude of the product of charges qQ becomes more significant,the transmission coefficient exceeds *** other words,the resultant spectral flux is amplified,which results in an accelerated process of black hole *** relationship of the calculated outgoing transmission coefficient with existing results on the greybody factor is discussed.

关键词： Hawking radiation Reissner-Nordstrom black hole superradiation