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Acta Mathematica Sinica,English Series 2023年第12期39卷 2374-2392页

作者： duong viet thong Faculty of Mathematical Economics National Economics UniversityHanoi CityVietnam

This paper deals with a class of inertial gradient projection methods for solving a vari-ational inequality problem involving pseudomonotone and non-Lipschitz mappings in Hilbert *** proposed algorithm incorporates inertial techniques and the projection and contraction *** weak convergence is proved without the condition of the Lipschitz continuity of the ***,the linear convergence of the algorithm is established under strong pseudomonotonicity and Lipschitz continuity *** main results obtained in this paper extend and improve some related works in the literature.

关键词： Inertial method projection and contraction method variational inequality problem pseu-domonotone mapping convergence rate

A RELAXED INERTIAL FACTOR OF THE MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDO MONOTONE VARIATIONAL INEQUALITIES IN HILBERT SPACES

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Acta Mathematica Scientia 2023年第1期43卷 184-204页

作者： duong viet thong Vu Tien DUNG Division of Applied Mathematics Thu Dau Mot UniversityBinh Duong ProvinceVietnam Department of Mathematics University of ScienceVietnam National University334 Nguyen TraiThanh XuanHanoiVietnam

In this paper,we investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert *** solving this problem,we propose a new method that combines the advantages of the subgradient extragradient method and the projection contraction *** very recent papers have considered different inertial algorithms which allowed the inertial factor is chosen in[0;1].The purpose of this work is to continue working in this direction,we propose another inertial subgradient extragradient method that the inertial factor can be chosen in a special case to be *** suitable mild conditions,we establish the weak convergence of the proposed ***,linear convergence is obtained under strong pseudomonotonicity and Lipschitz continuity ***,some numerical illustrations are given to confirm the theoretical analysis.

关键词： subgradient extragradient method inertial method variational inequality problem pseudomonotone mapping strong convergence convergence rate

STRONG CONVERGENCE OF AN INERTIAL EXTRAGRADIENT METHOD WITH AN ADAPTIVE NONDECREASING STEP SIZE FOR SOLVING VARIATIONAL INEQUALITIES

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Acta Mathematica Scientia 2022年第2期42卷 795-812页

作者： Nguyen Xuan LINH duong viet thong Prasit CHOLAMJIAK Pham Anh TUAN Luong Van LONG Department of Mathematics Mathematics Falcuty of Information TechnologyNational University of Civil Engineering Division of Applied Mathematics Thu Dau Mot UniversityBinh Duong ProvinceVietnam School of Science University of PhayaoPhayao 56000Thailand Paculty of Mathematical Economics National Economics UniversityHanoi CityVietnam

In this work,we investigate a classical pseudomonotone and Lipschitz continuous variational inequality in the setting of Hilbert space,and present a projection-type approximation method for solving this *** method requires only to compute one projection onto the feasible set per iteration and without any linesearch procedure or additional projections as well as does not need to the prior knowledge of the Lipschitz constant and the sequentially weakly continuity of the variational inequality mapping.A strong convergence is established for the proposed method to a solution of a variational inequality problem under certain mild ***,we give some numerical experiments illustrating the performance of the proposed method for variational inequality problems.

关键词： Inertial method Tseng’s extragradient viscosity method variational inequality problem pseudomonotone mapping strong convergence

Wedelolactone from Eclipta prostrata(L)*** inflammation and improves insulin resistance

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Asian Pacific Journal of Tropical Biomedicine 2024年第6期14卷 253-258页

作者： Trinh Tat Cuong duong Duc Thien Hoang Hai Yen Nguyen Anh Duc Trinh Quang Nam Do viet Khanh Key Laboratory for Enzyme and Protein Technology Vietnam National University University of ScienceHanoiVietnam Faculty of Biology Vietnam National University University of ScienceHanoiVietnam Hanoi University of Pharmacy HanoiVietnam Vinschool HanoiVietnam

Objective:To evaluate the effects of wedelolactone,a major flavonoid from vietnamese Eclipta prostrata(L)L.,on inflammation and insulin ***:Wedelolactone was extracted from the leaves of vietnamese Eclipta prostrata(L.)*** methanol by *** effects of wedelolactone on lipopolysaccharide(LPS)-induced cytokine production,reactive oxygen species(ROS)generation,and nicotinamide adenine dinucleotide phosphate(NADPH)oxidase activities in Raw 264.7 cells were measured by enzyme-linked immunosorbent assay(ELISA),specific immunofluorescent dyes and luminometric analysis,*** addition,its effects on glucose uptake and the protein expression of insulin receptor substrate 1(IRS1)and glucose transporter 4(GLUT4)were examined in 3T3-L1 cells by immunofluorescent dyes and Western ***:Wedelolactone at 30μg/mL significantly inhibited LPS-induced production of tumor necrosis factor-α,interleukin(IL)-6,and IL-8(P<0.01)with no noticeable effects on IL-10 *** also reduced ROS generation and NADPH oxidase activities in LPS-stimulated Raw 264.7 cells(P<0.01).Furthermore,wedelolactone showed anti-insulin resistance activity,as evidenced by improved glucose uptake and the upregulated expression of IRS1 and GLUT4 in 3T3-L1 cells(P<0.01).Conclusions:Wedelolactone exhibits anti-inflammation and anti-insulin resistance effects,which may be used for the treatment of diabetes and inflammation-associated diseases.

关键词： Wedelolactone Eclipta prostrata Inflammatory responses Anti-insulin resistance Diabetes IRS1 GLUT4

Push forward LC-MS-based therapeutic drug monitoring and pharmacometabolomics for anti-tuberculosis precision dosing and comprehensive clinical management

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Journal of Pharmaceutical Analysis 2024年第1期14卷 16-38页

作者： Nguyen Quang Thu Nguyen Tran Nam Tien Nguyen Thi Hai Yen Thuc-Huy duong Nguyen Phuoc Long Huy Truong Nguyen Department of Pharmacology and PharmacoGenomics Research Center Inje University College of MedicineBusan47392Republic of Korea Department of Chemistry University of EducationHo Chi Minh City700000Viet Nam Faculty of Pharmacy Ton Duc Thang UniversityHo Chi Minh City700000Viet Nam

The spread of tuberculosis(TB),especially multidrug-resistant TB and extensively drug-resistant TB,has strongly motivated the research and development of new anti-TB *** strategies to facilitate drug combinations,including pharmacokinetics-guided dose optimization and toxicology studies of first-and second-line anti-TB drugs have also been introduced and *** chromatography-mass spectrometry(LC-MS)has arguably become the gold standard in the analysis of both endo-and exo-genous *** technique has been applied successfully not only for therapeutic drug monitoring(TDM)but also for pharmacometabolomics *** improves the effectiveness of treatment,reduces adverse drug reactions,and the likelihood of drug resistance development in TB patients by determining dosage regimens that produce concentrations within the therapeutic target *** on TDM,the dose would be optimized individually to achieve favorable *** is essential in generating and validating hypotheses regarding the metabolism of anti-TB drugs,aiding in the discovery of potential biomarkers for TB diagnostics,treatment monitoring,and outcome *** article highlighted the current progresses in TDM of anti-TB drugs based on LC-MS bioassay in the last two ***,we discussed the advantages and disadvantages of this technique in practical *** pressing need for non-invasive sampling approaches and stability studies of anti-TB drugs was ***,we provided perspectives on the prospects of combining LC-MS-based TDM and pharmacometabolomics with other advanced strategies(pharmacometrics,drug and vaccine developments,machine learning/artificial intelligence,among others)to encapsulate in an all-inclusive approach to improve treatment outcomes of TB patients.

关键词： Tuberculosis Therapeutic drug monitoring LC-MS MIPD Pharmacometabolomics Precision medicine

Advancing Wound Filling Extraction on 3D Faces:An Auto-Segmentation and Wound Face Regeneration Approach

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Computer Modeling in Engineering & Sciences 2024年第5期139卷 2197-2214页

作者： duong Q.Nguyen Thinh D.Le Phuong D.Nguyen Nga T.K.Le H.Nguyen-Xuan Department of Mathematics and Statistics Quy Nhon UniversityQuy Nhon City55100Viet Nam Applied Research Institute for Science and Technology Quy Nhon UniversityQuy Nhon City55100Viet Nam CIRTECH Institute HUTECH UniversityHo Chi Minh City72308Viet Nam

Facial wound segmentation plays a crucial role in preoperative planning and optimizing patient outcomes in various medical *** this paper,we propose an efficient approach for automating 3D facial wound segmentation using a two-stream graph convolutional *** method leverages the Cir3D-FaIR dataset and addresses the challenge of data imbalance through extensive experimentation with different loss *** achieve accurate segmentation,we conducted thorough experiments and selected a high-performing model from the *** selectedmodel demonstrates exceptional segmentation performance for complex 3D facial ***,based on the segmentation model,we propose an improved approach for extracting 3D facial wound fillers and compare it to the results of the previous *** method achieved a remarkable accuracy of 0.9999993% on the test suite,surpassing the performance of the previous *** this result,we use 3D printing technology to illustrate the shape of the wound *** outcomes of this study have significant implications for physicians involved in preoperative planning and intervention *** automating facial wound segmentation and improving the accuracy ofwound-filling extraction,our approach can assist in carefully assessing and optimizing interventions,leading to enhanced patient ***,it contributes to advancing facial reconstruction techniques by utilizing machine learning and 3D bioprinting for printing skin tissue *** source code is available at https://***/SIMOGroup/WoundFilling3D.

关键词： 3D printing technology face reconstruction 3D segmentation 3D printed model

On Mixed Multiplicities of Good Filtrations

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Algebra Colloquium 2015年第3期22卷 421-436页

作者： duong Quoc viet Le Van Dinh Department of Mathematics Hanoi National University of Education 136 Xuan Thuy Street Hanoi Vietnam

This paper interprets mixed multiplicities of good filtrations as Hilbert-Samuel multiplicities, and shows that （ε1,..., εm）-superficial sequences in [16] （2007） and superficial sequences in [15] （1973） are weak-（FC）-sequences in [19] （2000）. As consequences, we not only obtain generalized results for mixed multiplicities of ideals in [15, 16, 19] but also get an improvement of [19, Theorem 3.4] that seems to account well for the essence of [16, Theorem 1.4].

关键词： mixed multiplicity filtration (FC)-sequence superficial sequence

New Results on Stability and Stabilization of Delayed Caputo Fractional Order Systems with Convex Polytopic Uncertainties

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Journal of Systems Science & Complexity 2020年第3期33卷 563-583页

作者： DINH Cong Huong MAI viet Thuan duong Thi Hong Department for Management of Science and Technology Development Ton Duc Thang UniversityHo Chi Minh CityVietnam Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics and Informatics Thainguyen University of SciencesThainguyenVietnam

In this paper,the problems of robust stability and stabilization,for the first time,are studied for delayed fractional-order linear systems with convex polytopic *** authors derive some sufficient conditions for the problems based on linear matrix inequality technique combined with fractional Razumikhin stability *** the results are obtained in terms of linear matrix inequalities that are numerically *** proposed results are quite general and improve those given in the literature since many factors,such as discrete and distributed delays,convex polytopic uncertainties,global stability and stabilizability,are *** examples and simulation results are given to illustrate the effectiveness of the effectiveness of our results.

关键词： Convex polytopic uncertainty delayed caputo fractional-order systems fractional Razumikhin theorem linear matrix inequality robust stability robust stabilization

Numerical investigation of the effect of seasonal variations of depthof-closure on shoreline evolution

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International Journal of Sediment Research 2021年第1期36卷 1-16页

作者： Xuan Tinh Nguyen Minh Thanh Tran Hitoshi Tanaka Trung viet Nguyen Yuta Mitobe Cong Dien duong Department of Civil Engineering Tohoku University

The current study presents the effects of seasonal variations in the depth-of-closure（D;） on shoreline evolution using a numerical,one-line shoreline *** erosion of the southern beach of the Nha Trang Coast,which is located in south central of vietnam,is selected as the study *** study area is immensely influenced by the tropical monsoon climate that has a clear pattern of large waves in the northeast monsoon season and calm waves in the non-monsoon *** analysis of the long-term measured shoreline variations from a video-camera system has found a strong correlation of these variations to the monsoon-dominated wave characteristics in the Nha Trang ***,a new approach for determining the depth-of-closure with consideration of the seasonal wave climate changes is purposed in the current *** implementing this new approach into a numerical,one-line shoreline model,it is found that the seasonal variations of D;appear to better describe the periodical shoreline evolution due to the monsoon-dominated wave characteristics for the Nha Trang *** important findings are considered to commonly apply for monsoon-dominated coastal regions in *** findings are useful information not only for scientific readers but also for the coastal authorities and managers in order to make better countermeasure plans against this kind of erosion mechanism in the future.

关键词： Video camera Shoreline change One-line theory Nha Trang Beach Depth-of-closure Monsoon wave climate

Plasmonic Ag‑Decorated Few‑Layer MoS2 Nanosheets Vertically Grown on Graphene for Efficient Photoelectrochemical Water Splitting

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Nano-Micro Letters 2020年第12期12卷 159-172页

作者： Dong‑Bum Seo Tran Nam Trung Dong‑Ok Kim duong viet Duc Sungmin Hong Youngku Sohn Jong‑Ryul Jeong Eui‑Tae Kim Department of Materials Science and Engineering Chungnam National UniversityDaejeon 34134Republic of Korea Department of Chemistry Chungnam National UniversityDaejeon 34134Republic of Korea

A controllable approach that combines surface plasmon resonance and twodimensional(2D)graphene/MoS2 heterojunction has not been implemented despite its potential for efficient photoelectrochemical(PEC)water *** this study,plasmonic Ag-decorated 2D MoS2 nanosheets were vertically grown on graphene substrates in a practical large-scale manner through metalorganic chemical vapor deposition of MoS2 and thermal evaporation of *** plasmonic Ag-decorated MoS2 nanosheets on graphene yielded up to 10 times higher photo-to-dark current ratio than MoS2 nanosheets on indium tin *** significantly enhanced PEC activity could be attributed to the synergetic effects of SPR and favorable graphene/2D MoS2 *** Ag nanoparticles not only increased visible-light and near-infrared absorption of 2D MoS2,but also induced highly amplified local electric field intensity in 2D *** addition,the vertically aligned 2D MoS2 on graphene acted as a desirable heterostructure for efficient separation and transportation of photo-generated *** study provides a promising path for exploiting the full potential of 2D MoS2 for practical large-scale and efficient PEC water-splitting applications.

关键词： Photoelectrocatalysis Molybdenum disulfide Graphene Surface plasmon resonance