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Finite analytic method for simulating water flow using water content-based Richards'equation
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作者 Zai-yong Zhang Da Xu +4 位作者 Cheng-cheng Gong Bin Ran Xue-ke Wang Wan-yu Zhang Jun-zuo Pan 《Journal of Groundwater Science and Engineering》 2025年第2期147-155,共9页
Accurately simulating water flow movement in vadose zone is crucial for effective water resources assessment.Richards'equation,which describes the movement of water flow in the vadose zone,is highly nonlinear and ... Accurately simulating water flow movement in vadose zone is crucial for effective water resources assessment.Richards'equation,which describes the movement of water flow in the vadose zone,is highly nonlinear and challenging to solve.Existing numerical methods often face issues such as numerical dispersion,oscillation,and mass non-conservation when spatial and temporal discretization conditions are not appropriately configured.To address these problems and achieve accurate and stable numerical solutions,a finite analytic method based on water content-based Richards'equation(FAM-W)is proposed.The performance of the FAM-W is compared with analytical solutions,Finite Difference Method(FDM),and Finite Analytic Method based on the pressure Head-based Richards'equation(FAM-H).Compared to analytical solution and other numerical methods(FDM and FAM-H),FAM-W demonstrates superior accuracy and efficiency in controlling mass balance errors,regardless of spatial step sizes.This study introduces a novel approach for modelling water flow in the vadose zone,offering significant benefits for water resources management. 展开更多
关键词 Finite analytic method Vadose zone Soil moisture Finite difference method analytical solution Richards'equation Water resources management
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A User Differential Range Error Calculating Algorithm Based on Analytic Method 被引量:9
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作者 SHAO Bo LIU Jiansheng ZHAO Ruibin HUANG Zhigang LI Rui 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2011年第6期762-767,共6页
To enhance the integrity, an analytic method (AM) which has less execution time is proposed to calculate the user differential range error (UDRE) used by the user to detect the potential risk. An ephemeris and clo... To enhance the integrity, an analytic method (AM) which has less execution time is proposed to calculate the user differential range error (UDRE) used by the user to detect the potential risk. An ephemeris and clock correction calculation method is introduced first. It shows that the most important thing of computing UDRE is to find the worst user location (WUL) in the service volume. Then, a UDRE algorithm using AM is described to solve this problem. By using the covariance matrix of the error vector, the searching of WUL is converted to an analytic geometry problem. The location of WUL can be obtained directly by mathematical derivation. Experiments are conducted to compare the performance between the proposed AM algorithm and the exhaustive grid search (EGS) method used in the master station. The results show that the correctness of the AM algorithm can be proved by the EGS method and the AM algorithm can reduce the calculation time by more than 90%. The computational complexity of this proposed algorithm is better than that of EGS. Thereby this algorithm is more suitable for computing UDRE at the master station. 展开更多
关键词 satellite navigation user differential range error INTEGRITY analytic method worst user location
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The Working Mechanism and An Analytic Method of the Deep Embedded Large Cylinder Structure 被引量:5
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作者 孙克俐 周锡礽 钱荣 《海洋工程:英文版》 EI 2004年第2期221-228,共8页
The large cylinder is a new-type structure that has been applied to harbor and offshore engineering. An analytic method of the relationship between loads and the structure displacement is developed based on the failur... The large cylinder is a new-type structure that has been applied to harbor and offshore engineering. An analytic method of the relationship between loads and the structure displacement is developed based on the failure mode of deep embedded large cylinder structures. It can be used to calculate directly the soil resistance and the ultimate bearing capacity of the structure under usage. A new criterion of the large cylinder structure, which discriminates the deep embedded cylinder from the shallow embedded cylinder, is defined. Model tests prove that the proposed method is feasible for the analysis of deep embedded large cylinder structures. 展开更多
关键词 large cylinder structure structure-soil interaction soil resistance analytic method
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Similarity solutions of vertical plane wall plume based on finite analytic method 被引量:1
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作者 槐文信 曾玉红 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第4期447-454,共8页
The turbulent flow of vertical plane wall plume with concentration variation was studied with the finite analytical method. The k-epsilon model with the effect of buoyancy on turbulent kinetic energy and its dissipati... The turbulent flow of vertical plane wall plume with concentration variation was studied with the finite analytical method. The k-epsilon model with the effect of buoyancy on turbulent kinetic energy and its dissipation rate was adopted. There were similarity solutions in the uniform environment for the system of equations including the equation of continuity, the equation of momentum along the flow direction and concentration, and equations of k, epsilon. The finite analytic method was applied to obtain the similarity solution. The calculated data of velocity, relative density difference, the kinetic energy of turbulence and its dissipation rate distribution for vertical plane plumes are in good agreement with the experimental data at the turbulent Schmidt number equal to 1.0. The variations of their maximum value along the direction of main flow were also given. It shows that the present model is good, i.e., the effect of buoyancy on turbulent kinetic energy and its dissipation rate should be taken into account, and the finite analytic method is effective. 展开更多
关键词 wall plume SIMILARITY turbulence model finite analytic method buoyancy effect
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Model-element Analytic Method for Plastic Forming of Material
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作者 王华昌 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2003年第1期44-46,共3页
MEM(model element method) is proposed to resolve the present difficulties and problems in CAE about plastic forming of material.There are four advantages when MEM is integrated with FEM(finite element method) and UBM(... MEM(model element method) is proposed to resolve the present difficulties and problems in CAE about plastic forming of material.There are four advantages when MEM is integrated with FEM(finite element method) and UBM(upper boundary element method).First,it can make full use of their own advantages and overcome their own disadvantages;second,it can analyse material plastic fluid expediently;third,it can optimize design;finally,it can improve technological content and application effect of CAE software.Based on introducing the principle of MEM briefly,features and applications of MEM are pointed out.In conclusion,a new analysis method for plastic forming comes forth. 展开更多
关键词 model element analytic method plastic forming plastic theory
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SUBSTRUCTURE COMPUTATIONAL ALGORITHM FOR EXACT ANALYTIC METHOD
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作者 纪振义 叶开沅 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第10期913-919,共7页
In[1], the exact analytic method for the solution of differential equation with variable coefficients was suggested and an analytic expression of solution was given by initial parameter algorithm. But to some problems... In[1], the exact analytic method for the solution of differential equation with variable coefficients was suggested and an analytic expression of solution was given by initial parameter algorithm. But to some problems such as the bending, free vibration and buckling of nonhomogeneous long cylinders, it is difficult to obtain their solutions by the initial parameter algorithm on computer. In this paper, the substructure computational algorithm for the exact analytic method is presented through the bending of non-homogeneous long cylindrical shell. This substructure algorithm can he applied to solve the problems which can not he calculated by the initial parameter algorithm on computer. Finally, the problems can he reduced to solving a low order system of algehraic equations like the initial parameter algorithm Numerical examples are given and compared with the initial para-algorithm at the end of the paper, which confirms the correctness of the substructure computational algorithm. 展开更多
关键词 substructure computational algorithm exact analytic method long cylindrical shell
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A HIGH CONVERGENT PRECISION EXACT ANALYTIC METHOD FOR DIFFERENTIAL EQUATION WITH VARIABLE COEFFICIENTS
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作者 纪振义 叶开沅 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第3期201-207,共7页
The exact analytic method was given by [1] . It can be used for arbitrary variable coefficient differential equations and the solution obtained can have the second order convergent precision. In this paper, a new high... The exact analytic method was given by [1] . It can be used for arbitrary variable coefficient differential equations and the solution obtained can have the second order convergent precision. In this paper, a new high precision algorithm is given based on [1], through a bending problem of variable cross-section beams. It can have the fourth convergent precision without increasing computation work. The present computation method is not only simple but also fast. The numerical examples are given at the end of this paper which indicate that the high convergent precision can be obtained using only a few elements. The correctness of the theory in this paper is confirmed. 展开更多
关键词 exact analytic method bending of beam high convergent precision
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EXACT ANALYTIC METHOD FG(?) SOLVING VARIABLE COEFFICIENT DIFFERENTIAL EQUATION
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作者 纪振义 叶开源 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第10期885-896,共12页
Many engineering problems can be reduced to the solution of a variable coefficient differential equation. In this paper, the exact analytic method is suggested to solve variable coefficient differential equations unde... Many engineering problems can be reduced to the solution of a variable coefficient differential equation. In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary boundary condition. By this method, the general computation formal is obtained. Its convergence in proved. We can get analytic expressions which converge to exact solution and its higher order derivatives uniformy Four numerical examples are given, which indicate that satisfactory results can he obtanedby this method. 展开更多
关键词 SOLVING VARIABLE COEFFICIENT DIFFERENTIAL EQUATION EXACT analytic method FG
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AN EXACT ANALYTIC METHOD APPLIED TO NONHOMOGENEOUS RING-AND STRINGER-STIFFENED CYLINDRICAL SHELLS
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作者 叶开源 纪振义 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第9期785-796,共12页
In this paper, the nonlinear axial symmetric deformation problem of nonhomogeneous ring- and stringer-stiffened shells is first solved by the exact analytic method. An analytic expression of displacements and stress r... In this paper, the nonlinear axial symmetric deformation problem of nonhomogeneous ring- and stringer-stiffened shells is first solved by the exact analytic method. An analytic expression of displacements and stress resultants is obtained and its convergence is proved. Displacements and stress resultants converge to exact solution uniformly. Finally, it is only necessary to solve a system of linear algebraic equations with two unknowns. Four numerical examples are given at the end of the paper which indicate that satisfactory results can be obtained by the exact analytic method. 展开更多
关键词 AN EXACT analytic method APPLIED TO NONHOMOGENEOUS RING-AND STRINGER-STIFFENED CYLINDRICAL SHELLS
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THE STABILITY AND CONVERGENCE OF THE FINITE ANALYTIC METHOD FOR THE NUMERICAL SOLUTION OF CONVECTIVE DIFFUSION EQUATION
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作者 孙毓平 吴江航 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第6期521-528,共8页
In this paper we make a close study of the finite analytic method by means of the maximum principles in differential equations and give the proof of the stability and convergence of the finite analytic method.
关键词 THE STABILITY AND CONVERGENCE OF THE FINITE analytic method FOR THE NUMERICAL SOLUTION OF CONVECTIVE DIFFUSION EQUATION
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Analytical Method of Permanent Magnet Torque Machine with High Torque for Considering the Influence of Armature Magnetic Field
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作者 Jiawei Chai Xianguo Gui +1 位作者 Qiang Gao Dianguo Xu 《CES Transactions on Electrical Machines and Systems》 2025年第3期289-299,共11页
Compared to the conventional permanent magnet synchronous machine(PMSM),the main characteristic of permanent magnet torque machine(PMTM)with high torque is that armature current is high,which has a great influence on ... Compared to the conventional permanent magnet synchronous machine(PMSM),the main characteristic of permanent magnet torque machine(PMTM)with high torque is that armature current is high,which has a great influence on magnetic circuit saturation,so this paper proposes a novel analytical method(AM)considering this problem.The key of this new AM is to consider armature reaction flux and armature leakage flux,which are closely related to output torque.Firstly,the expressions,including magnetomotive force(MMF)generated by permanent magnets(PMs)and armature windings are derived,and meanwhile slotting effect is considered by planning flux path.In addition,the expression of leakage flux density generated by armature windings are calculated,and flux density equivalence coefficient of tooth is calculated to be 2/3,which is used to solve the problem of uneven saturation of each tooth.Then,based on main flux factor and leakage flux factor proposed,an improved iteration process is proposed,and by this new process,the flux density of each yoke and tooth can be obtained,which is beneficial to obtain more accurate air-gap flux density and flux linkage.Finally,a prototype of 60-pole 54-slot is fabricated,and the performances of the electric machine,such as back electromotive force(EMF)and output torque,are calculated by this new AM and finite element method(FEM).The results of FEM and experimental test show that this new AM is good enough to calculate the performance of PMTM. 展开更多
关键词 analytical method(AM) Permanent magnet torque machine(PMTM) High torque Leakage flux Equivalence coefficient
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Application of the finite analytic numerical method to a flowdependent variational data assimilation
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作者 Yan Hu Wei Li +2 位作者 Xuefeng Zhang Guimei Liu Liang Zhang 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2024年第3期30-39,共10页
An anisotropic diffusion filter can be used to model a flow-dependent background error covariance matrix,which can be achieved by solving the advection-diffusion equation.Because of the directionality of the advection... An anisotropic diffusion filter can be used to model a flow-dependent background error covariance matrix,which can be achieved by solving the advection-diffusion equation.Because of the directionality of the advection term,the discrete method needs to be chosen very carefully.The finite analytic method is an alternative scheme to solve the advection-diffusion equation.As a combination of analytical and numerical methods,it not only has high calculation accuracy but also holds the characteristic of the auto upwind.To demonstrate its ability,the one-dimensional steady and unsteady advection-diffusion equation numerical examples are respectively solved by the finite analytic method.The more widely used upwind difference method is used as a control approach.The result indicates that the finite analytic method has higher accuracy than the upwind difference method.For the two-dimensional case,the finite analytic method still has a better performance.In the three-dimensional variational assimilation experiment,the finite analytic method can effectively improve analysis field accuracy,and its effect is significantly better than the upwind difference and the central difference method.Moreover,it is still a more effective solution method in the strong flow region where the advective-diffusion filter performs most prominently. 展开更多
关键词 finite analytic method advection-diffusion equation data assimilation flow-dependent
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Utility and Application of a Versatile Analytical Method for MMF Calculation in AC Machines 被引量:1
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作者 Ze-Zheng Wu Robert Nilssen Jian-Xin Shen 《CES Transactions on Electrical Machines and Systems》 EI CSCD 2024年第1期22-31,共10页
A versatile analytical method(VAM) for calculating the harmonic components of the magnetomotive force(MMF) generated by diverse armature windings in AC machines has been proposed, and the versatility of this method ha... A versatile analytical method(VAM) for calculating the harmonic components of the magnetomotive force(MMF) generated by diverse armature windings in AC machines has been proposed, and the versatility of this method has been established in early literature. However, its practical applications and significance in advancing the analysis of AC machines need further elaboration. This paper aims to complement VAM by augmenting its theory, offering additional insights into its conclusions, as well as demonstrating its utility in assessing armature windings and its application of calculating torque for permanent magnet synchronous machines(PMSM). This work contributes to advancing the analysis of AC machines and underscores the potential for improved design and performance optimization. 展开更多
关键词 AC machine analytical method Harmonic analysis MMF Magnetic field Torque calculation
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Analytical insights,modulation and compositional dynamics of the feline gut microbiota:a review
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作者 Yuejun Shi Guiqing Peng +5 位作者 Ashenafi Assefa Gebremariam Muhammad Muazzam Iqbal Hakimeh Baghaei Daemi Muhammad Ali Khan Rizwan Ullah Donghan Wang 《Animal Diseases》 2025年第1期1-16,共16页
The gastrointestinal tract of felines is inhabited by an active and intricate population of microorganisms whose alteration creates disturbances in the immune response and can affect health and disease states.Studies ... The gastrointestinal tract of felines is inhabited by an active and intricate population of microorganisms whose alteration creates disturbances in the immune response and can affect health and disease states.Studies using vari‑ous analytical methods have identified peculiar trends in various illnesses,with Firmicutes being the most prevalent phylum,followed by Bacteroidetes,Proteobacteria,and Actinobacteria.However,more Firmicutes and fewer Bac‑teroidetes have been observed in cats infected with Feline coronavirus.Alterations in the composition of these gut microbiota can be solved by microbiota modification through dietary fiber,probiotics,and fecal microbiota transplan‑tation.Therefore,it is critical to understand the composition of the gut microbiota,the changes in and roles of the gut environment,and the importance of these concepts for overall health while considering the exchange of microbes between humans and domestic animals.This review provides comprehensive information on feline gut microbiota composition,modulation,and analytic methods used for characterizing the gut microbiota. 展开更多
关键词 analytical methods BACTERIA DISEASE DYSBIOSIS Gut microbiota
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Methodology Study for Planning On-site Monitoring for Radio Astronomical Site Selection from Unmanned Aspects
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作者 Yongwei Guo Chao Hu +2 位作者 Xiaoyun Ma Gang Xu Jianbin Li 《Research in Astronomy and Astrophysics》 2025年第7期88-94,共7页
Astronomical site selection work is very hard.Unmanned technologies are important trends and solutions.We present a relatively easy method to plan a high reliability site selection which can extend the time from site ... Astronomical site selection work is very hard.Unmanned technologies are important trends and solutions.We present a relatively easy method to plan a high reliability site selection which can extend the time from site deployment to returning for maintaining by unmanned confirming the site.First,we redefine the reliability of a site selection deployment with the parameter of the trusty time,which means when we must return,and which can be relatively easy for estimating.The redefinition makes the reliability parameter as a Bayesian probability,and can be obtained by estimating besides testing,which makes the evaluation of each device's reliability much easier.Then we use block diagram tools in the Matlab Simulink software to construct structure diagram,and to link each component with relations of parallel,serial,protection,and so on.This makes the whole reliability value can be calculated at the time when we design or plan a site selection.We applied this concept and method in an actual site selection in Lenghu,Qinghai Province,China.The survey practice reveals its effectiveness and simpleness. 展开更多
关键词 Astronomical Instrumentation methods and Techniques site testing methods:analytical
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Enantioselective analytical methods in chiral drug metabolism
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作者 洪燕君 高凌波 曾苏 《Journal of Chinese Pharmaceutical Sciences》 CAS 2008年第3期177-182,共6页
The chiral nature of biological systems enables their stereoselective interaction with chiral compounds. It has been well documented that the enantiomers ofa chiral drug may show differences in drug disposition especi... The chiral nature of biological systems enables their stereoselective interaction with chiral compounds. It has been well documented that the enantiomers ofa chiral drug may show differences in drug disposition especially in metabolic behavior. As a result, it is of vital importance to separate the enantiomers of a chiral drug in metabolic studies. This paper discusses enantioselective methods (include high-performance liquid chromatography, gas chromatography, capillary electrophoresis and high-performance liquid chromatography-mass spectrometry) that applied in chiral drug metabolism, using most recent examples where possible. 展开更多
关键词 Enantioselective analytical methods Chiral drug Drug metabolism
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Application of fuzzy analytical method in the optimization of liposome preparation by orthogonal experiments 被引量:2
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作者 甄鹏 范晓婧 +3 位作者 马良 管峥 卢炜 胡新 《Journal of Chinese Pharmaceutical Sciences》 CAS 2009年第1期37-42,共6页
A new statistical method, the fuzzy analytical method, was introduced in the optimization processes of liposome preparation. It took the full advantage of the information from orthogonal experiments to obtain the opti... A new statistical method, the fuzzy analytical method, was introduced in the optimization processes of liposome preparation. It took the full advantage of the information from orthogonal experiments to obtain the optimal liposome preparation conditions by considering all the evaluation indexes. Liposomes were made by the modified reverse-phase evaporation method and the properties of liposomes including size, encapsulation efficiency and physical stability were selected as the evaluation indexes to indicate the quality of liposomes. The experimental data of these properties were analyzed by three different methods including direct observation, variance analysis and fuzzy analytical method. The optimal preparation conditions obtained from these methods were validated with further experiments. The results of all possible combinations of levels for all factors in orthogonal experiments were acquired by the fuzzy analytical method. All evaluation indexes were taken into account and the optimal preparation condition was obtained. The optimal preparation conditions from direct observation and fuzzy analytical method were different and further validation studies indicated that the optimal conditions obtained from the fuzzy analytical method were in agreement with that from traditional statistical analysis. Fuzzy analytical method avoided the problem resulted from the traditional method, in which different levels of the same factor were obtained when considering different evaluation indexes. More information could be obtained from the fuzzy analytical method and the blind area within the experimental range was eliminated. As a result, fuzzy analytical method can be applied in the optimization processes of liposome preparation. 展开更多
关键词 Orthogonal experiment Liposome preparation Fuzzy analytical method
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Development of analytical methods for polycyclic aromatic hydrocarbons (PAHs) in airborne particulates: A review 被引量:10
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作者 LIU Li-bin LIU Yan +3 位作者 LIN Jin-ming TANG Ning HAYAKAWA Kazuichi MAEDA Tsuneaki 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2007年第1期1-11,共11页
In the present work, the different sample collection, pretreatment and analytical methods for polycyclic aromatic hydrocarbons (PAHs) in airborne particulates is systematacially reviewed, and the applications of the... In the present work, the different sample collection, pretreatment and analytical methods for polycyclic aromatic hydrocarbons (PAHs) in airborne particulates is systematacially reviewed, and the applications of these pretreatment and analytical methods for PAHs are compared in detail. Some comments on the future expectation are also presented. 展开更多
关键词 polycyclic aromatic hydrocarbons (PAHs) airborne particulates analytical methods REVIEW
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Analytical methods for investigating in vivo fate of nanoliposomes:A review 被引量:5
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作者 Chong Su Yingze Liu +1 位作者 Yang He Jingkai Gu 《Journal of Pharmaceutical Analysis》 SCIE CAS CSCD 2018年第4期219-225,共7页
Nanoliposomes are considered to be the most successful nanoparticle drug delivery system, but their fate in vivo has not been fully understood due to lack of reliable bioanalytical methods, which seriously limits the ... Nanoliposomes are considered to be the most successful nanoparticle drug delivery system, but their fate in vivo has not been fully understood due to lack of reliable bioanalytical methods, which seriously limits the development of liposomal drugs. Hence, an overview of currently used bioanalytical methods is imperative to lay the groundwork for the need of developing a bioanalytical method for liposome measurements in vivo. Currently, major analytical methods for nanoliposomes measurement in vivo include fluorescence labeling, radiolabeling, magnetic resonance imaging(MRI), mass spectrometry and computed tomography. In this review, these bioanalytical methods are summarized, and the advantages and disadvantages of each are discussed. We provide insights into the applicability and limitations of these analytical methods in the application of nanoliposomes measurement in vivo, and highlight the recent development of instrumental analysis techniques. The review is devoted to providing a comprehensive overview of the investigation of nanoliposomes design and associated fate in vivo, promoting the development of bioanalytical techniques for nanoliposomes measurement, and understanding the pharmacokinetic behavior, effectiveness and potential toxicity of nanoliposomes in vivo. 展开更多
关键词 Liposomes analytical methods In vivo fate Liposomal drug
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Axial Compression Behavior and Analytical Method of L-Shaped Column Composed of Concrete-Filled Square Steel Tubes 被引量:5
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作者 荣彬 陈志华 +1 位作者 APOSTOLOS Fafitis 杨楠 《Transactions of Tianjin University》 EI CAS 2012年第3期180-187,共8页
Based on the characteristics of an L-shaped column composed of concrete-filled square steel tubes, the axial compression experiment and nonlinear finite element analysis were carried out to study the mechanical proper... Based on the characteristics of an L-shaped column composed of concrete-filled square steel tubes, the axial compression experiment and nonlinear finite element analysis were carried out to study the mechanical property of the L-shaped column. The load-displacement curve for the L-shaped column, the deflection and load-strain curves for the mono columns were obtained by the axial compression experiment. The results show that the L-shaped column exhibits a flexural-torsional buckling failure mode. The numerical simulation by the finite element analysis shows that the bearing capacity and failure mode are in accordance with those of the axial compression experiment and the feasi- bility of the finite element analysis is proved. For the calculation of the bearing capacity of the L-shaped column com- posed of concrete-filled square steel tubes, an analytical method is proposed based on the theory of the elastic stability and spatial truss model. The results of the analytical method are in good agreement with those of the axial compression experiment and the finite element analysis. 展开更多
关键词 L-shaped column concrete-filled square steel tube axial compression experiment finite element analy-sis analytical method
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