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A New Rational Algebraic Approach to Find Exact Analytical Solutions to a (2+1)-Dimensional System 被引量:7
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作者 BAI Cheng-Jie ZHAO Hong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5X期801-810,共10页
In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and othe... In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on (2+1)-dimensional dispersive long-wave equation. 展开更多
关键词 rational algebraic approach (2+1)-dimensional dispersive long-wave equation exact solutions
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Computation of the Rational Representation for Solutions of High-dimensional Systems 被引量:3
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作者 TAN CHANG ZHANG SHU-GONG 《Communications in Mathematical Research》 CSCD 2010年第2期119-130,共12页
This paper deals with the representation of the solutions of a polynomial system, and concentrates on the high-dimensional case. Based on the rational univari- ate representation of zero-dimensional polynomial systems... This paper deals with the representation of the solutions of a polynomial system, and concentrates on the high-dimensional case. Based on the rational univari- ate representation of zero-dimensional polynomial systems, we give a new description called rational representation for the solutions of a high-dimensional polynomial sys- tem and propose an algorithm for computing it. By this way all the solutions of any high-dimensional polynomial system can be represented by a set of so-called rational- representation sets. 展开更多
关键词 rational univariate representation high-dimensional ideal maximally independent set rational representation irreducible component
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Systematic rationalization approach for multivariate correlated alarms based on interpretive structural modeling and Likert scale 被引量:5
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作者 高慧慧 徐圆 +2 位作者 顾祥柏 林晓勇 朱群雄 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第12期1987-1996,共10页
Alarm flood is one of the main problems in the alarm systems of industrial process. Alarm root-cause analysis and alarm prioritization are good for alarm flood reduction. This paper proposes a systematic rationalizati... Alarm flood is one of the main problems in the alarm systems of industrial process. Alarm root-cause analysis and alarm prioritization are good for alarm flood reduction. This paper proposes a systematic rationalization method for multivariate correlated alarms to realize the root cause analysis and alarm prioritization. An information fusion based interpretive structural model is constructed according to the data-driven partial correlation coefficient calculation and process knowledge modification. This hierarchical multi-layer model is helpful in abnormality propagation path identification and root-cause analysis. Revised Likert scale method is adopted to determine the alarm priority and reduce the blindness of alarm handling. As a case study, the Tennessee Eastman process is utilized to show the effectiveness and validity of proposed approach. Alarm system performance comparison shows that our rationalization methodology can reduce the alarm flood to some extent and improve the performance. 展开更多
关键词 Alarm rationalization Root-cause analysis Alarm priority Interpretive structural modeling Likert scale Tennessee Eastman process
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An osculatory rational interpolation method of model reduction in linear system 被引量:1
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作者 顾传青 张莺 《Journal of Shanghai University(English Edition)》 CAS 2007年第4期365-369,共5页
A theorem for osculatory rational interpolation was shown to establish a new criterion of interpolation. On the basis of this conclusion a practical algorithm was presented to get a reduction model of the linear syste... A theorem for osculatory rational interpolation was shown to establish a new criterion of interpolation. On the basis of this conclusion a practical algorithm was presented to get a reduction model of the linear systems. Some numerical examples were given to explain the result in this paper. 展开更多
关键词 osculatory rational interpolation criterion of interpolation ALGORITHM linear system model reduction
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Integrability, multi-soliton and rational solutions, and dynamical analysis for a relativistic Toda lattice system with one perturbation parameter 被引量:1
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作者 Meng-Li Qin Xiao-Yong Wen Cui-Lian Yuan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第6期13-42,共30页
Under investigation in this paper is a relativistic Toda lattice system with one perturbation parameterαabbreviated as RTLαsystem by Suris,which may describe the motions of particles in lattices interacting through ... Under investigation in this paper is a relativistic Toda lattice system with one perturbation parameterαabbreviated as RTLαsystem by Suris,which may describe the motions of particles in lattices interacting through an exponential interaction force.First of all,an integrable lattice hierarchy associated with an RTLαsystem is constructed,from which some relevant integrable properties such as Hamiltonian structures,Liouville integrability and conservation laws are investigated.Secondly,the discrete generalized(m,2 N-m)-fold Darboux transformation is constructed to derive multi-soliton solutions,higher-order rational and semirational solutions,and their mixed solutions of an RTLαsystem.The soliton elastic interactions and details of rational solutions are analyzed via the graphics and asymptotic analysis.Finally,soliton dynamical evolutions are investigated via numerical simulations,showing that a small noise has very little effect on the soliton propagation.These results may provide new insight into nonlinear lattice dynamics described by RTLαsystem. 展开更多
关键词 RTLαsystem Hamiltonian structures discrete generalized(m 2N-m)-fold Darboux transformation soliton and rational solutions asymptotic analysis
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Rational Solutions for the Fokas System
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作者 饶继光 王立洪 +1 位作者 张雨 贺劲松 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第12期605-618,共14页
Fokas system is the simplest(2+1)-dimensional extension of the nonlinear Schrodinger equation(Eq.(2),Inverse Problems 10(1994) L19-L22).By using the bilinear transformation method,general rational solutions for the Fo... Fokas system is the simplest(2+1)-dimensional extension of the nonlinear Schrodinger equation(Eq.(2),Inverse Problems 10(1994) L19-L22).By using the bilinear transformation method,general rational solutions for the Fokas system are given explicitly in terms of two order-N determinants T_n(n = 0,1) whose elements m_(i,j)^(n)(n = 0,1;1≤i,j≤N)are involved with order-n_i and order-n_j derivatives.When N = 1,three kinds of rational solution,i.e.,fundamental lump and fundamental rogue wave(RW) with n_1 = 1,and higher-order rational solution with n_1 > 2,are illustrated by explicit formulas from T_n(n = 0,1) and pictures.The fundamental RW is a line RW possessing a line profile on(x,y)-plane,which arises from a constant background with at t << 0 and then disappears into the constant background gradually at t >> 0.The fundamental lump is a traveling wave,which can preserve its profile during the propagation on(x,y)-plane.When N ≥2 and n_1 =n_2=...=n_n = 1,several specific multi-rational solutions are given graphically. 展开更多
关键词 Fokas system BILINEAR TRANSFORMATION METHOD ration
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New Families of Rational Form Solitary Wave Solutions to (2+1)-Dimensional Broer-Kaup-Kupershmidt System*
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作者 WANGQi CHENYong +1 位作者 LIBiao ZHANGHong-Qing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5期769-774,共6页
Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed b... Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed by using the Riccati equation rational expansion method presented by us. The method can also be applied to solve more nonlinear partial differential equation or equations. 展开更多
关键词 Riccati equation rational expansion method (2+1) -dimensional Broer-Kaup-Kupershmidt system symbolic computation rational form solitary wave solutions
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New and More General Rational Formal Solutions to (2+1)-Dimensional Toda System
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作者 BAI Cheng-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5X期881-884,共4页
With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to (2+1)-dimensional Toda system are obtained. The method used... With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to (2+1)-dimensional Toda system are obtained. The method used here can also be applied to solve other nonlinear differential-difference equation or equations. 展开更多
关键词 Riccati equation rational expansion approach (2+1)-dimensional Toda system rational formal solutions
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Molecular basis for rational construction of RVGP modified liposomal delivery system targeting to brain
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作者 Bo Deng Wei Cui +5 位作者 Shuang Ma Xiaona Liu Zhan Zhang Baiyi Yan Kun Chen Ying Xie 《Journal of Chinese Pharmaceutical Sciences》 CAS CSCD 2019年第7期484-501,共18页
The rational construction of active targeting liposomes will provide an important structural support for its effective brain targeting.However,there is no clear understanding of the structure-activity relationship of ... The rational construction of active targeting liposomes will provide an important structural support for its effective brain targeting.However,there is no clear understanding of the structure-activity relationship of active targeting liposomes.Combining multiscale computational simulation and experimental verification,we established a computational model of RVGP modified PEGylated liposomes(RVGP-PEG-L)and investigated the role of PEG and molecular interaction mechanism of carrier-ligand-receptor.The result indicated that the complex network conformation formed by PEG with 42 monomers(42 PEG)above the density of 8%was the molecular basis for PEG-L to achieve long-circulation function.The lowest monomer number of PEG linker to ensure the targeting ability of RVGP was 42.However,the pose of RVGP binding to nAChR changed after it was linked with PEG-L due to the restraint of PEG chain,leading to a decrease of binding free energy.Increasing the monomer number of PEG linker or improving the non-polarity of polymers was a potential strategy to enhance the combination of RVGP-PEG-L with nAChR on the targeting cell. 展开更多
关键词 Multiscale dynamic simulation Liposomes Molecular interaction mechanism rational construction
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Extended Jacobi Elliptic Function Rational Expansion Method and Its Application to (2+1)-Dimensional Stochastic Dispersive Long Wave System
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作者 SONG Li-Na ZHANG Hong-Qing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第6期969-974,共6页
In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evo... In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolution equations. To illustrate the effectiveness of our method, we take the (2+ 1)-dimensional stochastic dispersive long wave system as an example. We not only have obtained some known solutions, but also have constructed some new rational formal stochastic Jacobi elliptic function solutions. 展开更多
关键词 stochastic evolution equations (2+ 1)-dimensional stochastic dispersive long wave system rational formal stochastic Jacobi elliptic function solutions
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Design of Non-rational MIMO Feedback Systems with Inputs and Outputs Satisfying Certain Bounding Conditions by Using Rational Approximants
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作者 Suchin Arunsawatwong Tadchanon Chuman 《International Journal of Automation and computing》 EI CSCD 2017年第3期360-370,共11页
When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out... When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out the design with the approximants by means of a method that copes with rational systems. In order to ensure that the design carried out with the approximants still provides satisfactory results for the original system, a criterion of approximation should be explicitly taken into account in the design formulation. This paper derives such a criterion for multi-input multi-output(MIMO) feedback systems whose design objective is to ensure that the absolute values of every error and every controller output components always stay within prescribed bounds whenever the inputs satisfy certain bounding conditions. The obtained criterion generalizes a known result which was derived for single-input single-output(SISO) systems; furthermore, for a given rational approximant matrix, it is expressed as a set of inequalities that can be solved in practice. Finally, a controller for a binary distillation column is designed by using the criterion in conjunction with the method of inequalities. The numerical results clearly demonstrate that the usefulness of the criterion in obtaining a design solution for the original system. 展开更多
关键词 Control design multi-input multi-output (MIMO) feedback systems non-rational systems rational approximants principle of matching method of inequalities
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Application of a Multi-Agent System (MAS) to Rational Credit Rating
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作者 YU Fan QIN Zheng LI Shi-ning 《International Journal of Plant Engineering and Management》 2006年第4期234-241,共8页
A Multi-Agent System ( MAS ) is a promising approach to build complex system. This paper introduces the research of the Inner-Enterprise Credit Rating MAS ( IECRMAS). To raise the rating accuracy, we not only cons... A Multi-Agent System ( MAS ) is a promising approach to build complex system. This paper introduces the research of the Inner-Enterprise Credit Rating MAS ( IECRMAS). To raise the rating accuracy, we not only consider the rating-target's information, but also focus on the evaluators' feature information and propose the rational rating-group formation algorithm based on an anti-bias measurement of the group. We also propose the rational rating individual, which consists of the evaluator and the assistant rating agent. A rational group formation protocol is designed to coordinate autonomous agents to perform the rating job. 展开更多
关键词 multi-agent system rational group formation credit rating
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The(Homotopy)Fixed Point Set of S^(1)-Actions on Rationally Elliptic 4-Manifolds
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作者 Chen Huimin Liu Xiugui 《南开大学学报(自然科学版)》 北大核心 2025年第3期32-37,共6页
Let X be a closed simply connected rationally elliptic 4-manifold.The rational homotopy type of homotopy fixed point sets X^(hS^(1))is determined,and based on some relations between X^(hS^(1))and X^(S^(1)),the rationa... Let X be a closed simply connected rationally elliptic 4-manifold.The rational homotopy type of homotopy fixed point sets X^(hS^(1))is determined,and based on some relations between X^(hS^(1))and X^(S^(1)),the rational homotopy type of the fixed point set X^(S^(1))is determined. 展开更多
关键词 rationally elliptic 4-manifolds rational homotopy type homotopy fixed point set fixed point set
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Understanding Accounting Fraud Through the Fraud Triangle Theory:A Systematic Literature Review
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作者 Faisal Fadly Hermawan Iskandar Muda Sambas Ade Kesuma 《Journal of Modern Accounting and Auditing》 2025年第2期48-58,共11页
This research aims to understand the causes of fraud through the approach of the Fraud Triangle Theory,which includes three main factors:pressure,opportunity,rationalization.By using the Systematic Literature Review m... This research aims to understand the causes of fraud through the approach of the Fraud Triangle Theory,which includes three main factors:pressure,opportunity,rationalization.By using the Systematic Literature Review method from various relevant international journals,it analyzed systematically to identify patterns,trends,and theoretical contributions to efforts in detecting and preventing fraud.The results of this study show that the three factors in the Fraud Triangle Theory significantly contribute to the occurrence of fraud.Opportunity as the most dominant factor is caused by weak internal control systems and lack of oversight.In addition,economic pressure,and a permissive organizational environment,as well as the rationalization processes by individuals,also increase the tendency for a person to commit fraud.These findings emphasize the need for a comprehensive approach in fraud prevention strategies,through ethical values,the establishment of an organizational culture with integrity,and the implementation of more effective internal control and oversight. 展开更多
关键词 Fraud Triangle FRAUD PRESSURE OPPORTUNITY rationALIZATION
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The Intrinsic Tension Between Rationalism and Emotionalism:On the Modernity Connotations of Artificial Intelligence and the Metaverse
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作者 Zhang Bing 《Contemporary Social Sciences》 2025年第2期88-102,共15页
In the successive rise of the metaverse and artificial intelligence(AI),rationalism and emotionalism have consistently manifested as symptoms of modernity throughout their developmental trajectories.This paper argues ... In the successive rise of the metaverse and artificial intelligence(AI),rationalism and emotionalism have consistently manifested as symptoms of modernity throughout their developmental trajectories.This paper argues that the achievements and crises of both fields signify the triumph of rationalism in the context of deepening modernity,while simultaneously harboring an intrinsic impetus and possibility for transitioning from rationalism to emotionalism.This dynamic serves as a quintessential representation of modernity’s crises and their transcendence.Centered on embodied cognitive science,AI and the metaverse—rooted in rationalism—now face challenges in shifting toward emotionalism,revealing their inadequacy in addressing this shift.Humanity must explore new modernity-deepening paradigms grounded in emotionalism to confront and transcend the potential crises posed by the metaverse and AI. 展开更多
关键词 artificial intelligence metaverse modernity rationALISM EMOTIONALISM
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Employing pretreatment neutrophil-lymphocyte ratio and platelet-lymphocyte ration to evaluate chemotherapy and immunotherapy:A retrospective study of 719 cases
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作者 Xue Yang Fang Hao +1 位作者 Li-Li Zeng Dian-Sheng Zhong 《Clinical Research Communications》 2025年第2期20-25,共6页
Background:Neutrophil-lymphocyte ratio(NLR)and platelet-lymphocyte ration(PLR)have been shown to contribute to tumour progression and response to therapy.Methods:We retrospectively counted NLR and PLR in 719 patients ... Background:Neutrophil-lymphocyte ratio(NLR)and platelet-lymphocyte ration(PLR)have been shown to contribute to tumour progression and response to therapy.Methods:We retrospectively counted NLR and PLR in 719 patients with advanced malignancies receiving chemo-and/or immuno-therapy.Results:Both the pretreatment NLR and PLR were significantly elevated in patients with progressive disease than in those without progressive disease.Compared to low groups,the high NLR and PLR groups showed significantly worse event free survival.Conclusion:We propose that NLR and PLR are not only effective blood markers for predicting therapeutic responses to chemo-and/or immuno-therapy,but also useful in detecting survival in diverse malignancies. 展开更多
关键词 neutrophil-lymphocyte ratio platelet-lymphocyte ration CHEMOTHERAPY IMMUNOTHERAPY prognosis
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Rational protein engineering of thermostable heparinase I from Bacteroides thetaiotaomicron for highly efficient heparin degradation
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作者 Chuan Zhang Ruohan Zhao +6 位作者 Leilei Yu Qixiao Zhai Jianxin Zhao Hao Zhang Xuegang Luo Fengwei Tian Wei Chen 《Food Science and Human Wellness》 2025年第6期2161-2171,共11页
Heparin,a glycosaminoglycan,is a stable source of carbon that supports the growth of microorganisms in the human intestine.It is also a commonly used anticoagulant drug in clinical practice,with significant therapeuti... Heparin,a glycosaminoglycan,is a stable source of carbon that supports the growth of microorganisms in the human intestine.It is also a commonly used anticoagulant drug in clinical practice,with significant therapeutic effects.Low molecular weight heparin(LMWH)is a highly active low molecular weight fragment obtained via enzymatic reaction or the chemical degradation of heparin.LMWH has been applied globally in the prevention and treatment of venous thromboembolism in thrombosis patients.Simultaneously,as a potential prebiotic,because of its low molecular weight,LMWH can be well degraded by the gut microbiota to maintain intestinal balance.Enzymatic heparin degradation has recently emerged as a viable disposal method for LMWH preparation;however,only very few benchmark enzymes have been thoroughly described and subjected to protein engineering to improve their properties over the past few years.The commercialization of enzymes will require the development of robustly engineered enzymes that meet the demands of industrial processes.Herein,we report a rational protein engineering strategy that includes molecular dynamic simulations of flexible amino acid mutations and disulfide bond screening.Several Bacteroides thetaiotaomicron heparanase I(Bt-HepI)mutants were obtained and screened for high thermal stability.We obtained the Bt-HepI^(D204C/K208C/H189W/Q198R)variant,which features a stabilized protein surface structure,with a 1.3-fold increase in catalytic constant/michaelis-menten constant(k_(cat)/K_(m)),a 2.44-fold increase in thermal stability at 50℃,and a 1.8-fold decrease in the average molecular weight of LMWH produced at 40℃compared with that seen with Bt-HepI^(WT).Our study establishes a strategy to engineer thermostable HepI to underpin its industrial applications. 展开更多
关键词 HEPARIN Bacteroides thetaiotaomicron Heparinase I rational protein engineering Thermostability
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Impact of Pharmaceutical Care Model on Rational Use of Antibiotics in Ophthalmology Perioperative Period
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作者 Rongrong Tang Xueshan Hua 《Proceedings of Anticancer Research》 2025年第4期36-41,共6页
Objective:To analyze the positive impact of pharmaceutical care in the ophthalmology perioperative period on the rational use of antibiotics.Methods:A total of 115 patients who underwent ophthalmological surgery betwe... Objective:To analyze the positive impact of pharmaceutical care in the ophthalmology perioperative period on the rational use of antibiotics.Methods:A total of 115 patients who underwent ophthalmological surgery between March and June 2023 were selected as the control group,receiving routine medication management.Another 115 patients who underwent ophthalmological surgery between July and October 2023 were selected as the observation group,receiving pharmaceutical care.The rationality of medication use,mastery of medication knowledge,medication compliance,and adverse reaction rates were compared between the two groups.Results:The observation group had higher rationality of medication use,higher scores for mastery of medication knowledge,higher medication compliance,and a lower adverse reaction rate compared to the control group(P<0.05).Conclusion:The combination of antibiotic therapy and pharmaceutical care in the ophthalmology perioperative period can improve the rationality of medication use,enhance patients’mastery of medication knowledge,increase their medication compliance,and prevent adverse reactions to antibiotics. 展开更多
关键词 OPHTHALMOLOGY Perioperative period Pharmaceutical care model ANTIBIOTICS rational use
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Evaluation Criteria and Rationality Analysis of Drug Utilization of Meropenem in a Tertiary Medical Institution in Beijing
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作者 Zhang Qiming Huang Zhe 《Asian Journal of Social Pharmacy》 2025年第1期1-9,共9页
Objective To establish a drug use evaluation(DUE)standard for meropenem in a tertiary medical institution in Beijing,and to analyze the use of meropenem for promoting the rational use of antibiotics.Methods A criteria... Objective To establish a drug use evaluation(DUE)standard for meropenem in a tertiary medical institution in Beijing,and to analyze the use of meropenem for promoting the rational use of antibiotics.Methods A criteria of DUE of meropenem was established based on drug instructions,related guidelines and experts’opinions.Then,120 cases of meropenem use from January to December 2021 were selected to carry out a retrospective study.Results and Conclusion 120 cases of meropenem use involved 8 clinical departments,including 38 cases in the Department of Respiratory Medicine,25 cases in the Department of Tuberculosis,and 20 cases in the Department of Gastroenterology.The detection rate of pathogenic microorganisms before first use was 79.17%,and the clinical treatment effectiveness rate was 81.67%.The irrational use of meropenem included poor grasp of usage indications,excessively high starting points,inappropriate usage and dosage,non-standard treatment courses,and excessive combination medication.Pharmacists should strengthen the monitoring and evaluation of carbapenem drugs such as meropenem,provide timely feedback on relevant situations,and promote rational clinical medication. 展开更多
关键词 MEROPENEM ANTIBIOTICS rational use drug use evaluation
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The Role of Pharmacist-Led Rational Drug Use Management of Antibiotics During the Perioperative Period in Gynecology
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作者 Xueshan Hua Rongrong Tang 《Journal of Clinical and Nursing Research》 2025年第7期352-357,共6页
Objective:To analyze the effect of pharmacist-led rational drug use management of antibiotics during the perioperative period in gynecology.Methods:Two hundred patients who underwent gynecological surgery between Marc... Objective:To analyze the effect of pharmacist-led rational drug use management of antibiotics during the perioperative period in gynecology.Methods:Two hundred patients who underwent gynecological surgery between March 2023 and December 2023 were selected and randomly divided into two groups.In the experimental group,the pharmacist led the medication management during the perioperative use of antibiotics,while the control group received routine antibiotic management.The management effects were compared between the two groups.Results:The irrational drug use rate,the incidence of adverse drug reactions,the cost of antibiotics,and the incidence of postoperative infection were all lower in the experimental group compared to the control group(P<0.05).Conclusion:Implementing pharmacist-led medication management during the perioperative period of gynecological surgery can prevent irrational drug use,reduce adverse drug reactions,control drug costs,and lower the risk of postoperative infection. 展开更多
关键词 Gynecological perioperative period Pharmacist-led ANTIBIOTICS rational drug use management
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