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STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS
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作者 张继业 杨翊仁 曾京 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第7期791-796,共6页
The notion of string stability of a countably infinite interconnection of a class of nonlinear system was introduced. Intuitively, string stability implies uniform boundedness of all the stares of the interconnected s... The notion of string stability of a countably infinite interconnection of a class of nonlinear system was introduced. Intuitively, string stability implies uniform boundedness of all the stares of the interconnected system for all time if the initial states of the interconnected system are uniformly bounded. Vector V-function method used to judge the stability is generalized for infinite interconnected system and sufficient conditions which guarantee the asymptotic string stability of a class of interconnected system are given. The stability regions obtained here are much larger than those in previous papers. The method given here overcomes some difficulties to deal with stability of infinite nonlinear interconnected system in previous papers. 展开更多
关键词 INFINITE-DIMENSION interconnected system vector V-function method string stability
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Calculation of the Gas Injection Rate and Pipe String Erosion in Nitrogen Drilling Systems
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作者 Mingren Shao Chunpeng Wang +3 位作者 Degui Wang Wenbo Mei Mingjie Li Hao Yang 《Fluid Dynamics & Materials Processing》 EI 2022年第2期417-430,共14页
Detailed information is provided for the design and construction of nitrogen drilling in a coal seam.Two prototype wells are considered.The Guo model is used to calculate the required minimum gas injection rate,while ... Detailed information is provided for the design and construction of nitrogen drilling in a coal seam.Two prototype wells are considered.The Guo model is used to calculate the required minimum gas injection rate,while the Finnie,Sommerfeld,and Tulsa models are exploited to estimate the ensuing erosion occurring in pipe strings.The calculated minimum gas injection rates are 67.4 m^(3)/min(with water)and 49.4 m^(3)/min(without water),and the actual field of use is 90–120 m^(3)/min.The difference between the calculated injection pressure and the field value is 6.5%–15.2%(formation with water)and 0.65%–7.32%(formation without water).The results show that the Guo model can more precisely represent the situation of the no water formation in the nitrogen drilling of a coal seam.The Finnie,Sommerfeld,and Tulsa models have different sensitivities to cutting densities,particle size,impact velocity and angle,and pipe string hardness. 展开更多
关键词 Coalbed methane nitrogen drilling minimum gas injection rate erosion of pipe string analysis on the scene
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Subscription to Digital Libraries and Corresponding Journal Impact: A Value-Based Approach to Demand for Digital Research Data—Confucian Integration of Curricula and “Market String” Digital Education Systems
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作者 Soumitra K.Mallick 《Journal of Applied Mathematics and Physics》 2018年第10期1988-1996,共9页
This paper develops a functional relation between Digital Libraries and Confucion Integrated Curriculum Learning systems. We show that under certain properties of Learning Systems which can implement laissez-faire mar... This paper develops a functional relation between Digital Libraries and Confucion Integrated Curriculum Learning systems. We show that under certain properties of Learning Systems which can implement laissez-faire markets under uncertainty, the systems integration is possible in entropy space. 展开更多
关键词 CONFUCIAN Dao and Li string Classification and INTEGRATION of Curricula DIGITAL Libraries
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On the representations of string pairs over virtual field
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作者 TAO Kun FU Chang-Jian 《四川大学学报(自然科学版)》 北大核心 2025年第5期1103-1108,共6页
Let F_(1)be the virtual field consisting of one element and(Q,I)a string pair.In this paper,we study the representations of string pairs over the virtual field F_(1).It is proved that an indecomposable F_(1)-represent... Let F_(1)be the virtual field consisting of one element and(Q,I)a string pair.In this paper,we study the representations of string pairs over the virtual field F_(1).It is proved that an indecomposable F_(1)-representation is either a string representation or a band representation by using the coefficient quivers.It is worth noting that for a given band and a positive integer,there exists a unique band representation up to isomorphism. 展开更多
关键词 string pair string representation band representation
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Axionic excitation and vorticity in a QCD string model with anomaly inflow
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作者 Chi Xiong 《Communications in Theoretical Physics》 2025年第7期63-69,共7页
A new phenomenological model(axionic QCD string)is constructed to study the topological issues of the QCD vacuum and hadron structure.It provides an alternative way of tackling the Strong CP problem,which is different... A new phenomenological model(axionic QCD string)is constructed to study the topological issues of the QCD vacuum and hadron structure.It provides an alternative way of tackling the Strong CP problem,which is different from the traditional Peccei–Quinn approach.Neither new particle nor extra symmetry is introduced,and the role of the Peccei–Quinn axion is played by a quasiparticle arising from the phase of the quark condensate,dubbed as axionic excitation.The derivative of this excitation field is decomposed into a regular part and a singular part,and the latter contains vorticity from the string configuration.A hidden gauge symmetry is revealed in this decomposition and vorticity is represented by an emergent gauge field associated with anomalies.These components,together with the anomaly-inflow mechanism,complete the effective Lagrangian description for the axionic QCD string. 展开更多
关键词 QCD vacuum axion string axial anomaly quark condensate quantized vorticity
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Quasinormal modes and shadow of Schwarzschild black holes embedded in a Dehnen-type dark matter halo exhibiting a cloud of strings
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作者 Ahmad Al-Badawi Sanjar Shaymatov 《Communications in Theoretical Physics》 2025年第3期101-111,共11页
In this paper we consider a static spherically symmetric black hole(BH)embedded in a Dehnen-(1,4,0)-type dark matter(DM)halo in the presence of a cloud string.We examine and present data on how the core density of the... In this paper we consider a static spherically symmetric black hole(BH)embedded in a Dehnen-(1,4,0)-type dark matter(DM)halo in the presence of a cloud string.We examine and present data on how the core density of the DM halo parameter and the cloud string parameter affect BH attributes such as quasinormal modes(QNMs)and shadow cast.To do this,we first look into the effective potential of perturbation equations for three types of perturbation fields with different spins:massless scalar field,electromagnetic field and gravitational field.Then,using the sixth-order Wentzel-Kramers-Brillouin approximation,we examine QNMs of the BH disturbed by the three fields and derive quasinormal frequencies.The changes in QNM versus the core density parameter and the cloud string parameter for three disturbances are explored.We also investigate how the core density and the cloud string parameter affect the photon sphere and shadow radius.Interestingly,the study shows that the influence of Dehnen-type DM and cloud strings increases both the photon sphere and the shadow radius.Finally,we employ observational data from Sgr A^(*) and M87^(*) to set limitations on the BH parameters. 展开更多
关键词 SCHWARZSCHILD Dehnen type dark matter halo string cloud quasinormal modes SHADOW
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On the Lebesgue Integral and the Lebesgue Measure: Mathematical Applications in Some Sectors of Chern-Simons Theory and Yang-Mills Gauge Theory and Mathematical Connections with Some Sectors of String Theory and Number Theory
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作者 Michele Nardelli 《Journal of Modern Physics》 2025年第1期93-132,共40页
In this paper, in Section 1, we have described some equations and theorems concerning the Lebesgue integral and the Lebesgue measure. In Section 2, we have described the possible mathematical applications, of Lebesgue... In this paper, in Section 1, we have described some equations and theorems concerning the Lebesgue integral and the Lebesgue measure. In Section 2, we have described the possible mathematical applications, of Lebesgue integration, in some equations concerning various sectors of Chern-Simons theory and Yang-Mills gauge theory, precisely the two dimensional quantum Yang-Mills theory. In conclusion, in Section 3, we have described also the possible mathematical connections with some sectors of String Theory and Number Theory, principally with some equations concerning the Ramanujan’s modular equations that are related to the physical vibrations of the bosonic strings and of the superstrings, some Ramanujan’s identities concerning π and the zeta strings. 展开更多
关键词 Lebesgue Integral Chern-Simons Theory Yang-Mills Gauge Theory string Theory Number Theory
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Numerical investigation of wellbore damage due to drill string lateral vibration
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作者 Hadi Haghgouei Anders Nermoen Alexandre Lavrov 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第3期1287-1301,共15页
During drilling operations,cyclic loading is exerted on the wellbore wall by the vibrations of the drill string.This loading could lead to rock fatigue,which in turn might result in wellbore failure.In this study,a nu... During drilling operations,cyclic loading is exerted on the wellbore wall by the vibrations of the drill string.This loading could lead to rock fatigue,which in turn might result in wellbore failure.In this study,a numerical model is developed to simulate the effects of repeated loading on rock fatigue and failure.The simulation is based on an elasto-plastic constitutive model coupled with a damage mechanics approach,which allows us to examine the wellbore instability due to drill string vibrations.The model is verified with the existing data in the literature related to experiments on impact of a steel ball against a curved wall.The findings indicate that cyclic loading increases the development of plastic strain around the wellbore significantly compared to static conditions,promoting rock fatigue.Furthermore,the cyclic loading expands the radius of the yielded zone substantially,a critical factor for maintaining wellbore integrity.The proposed model can be used to evaluate the wellbore stability under repetitive loading caused by the drill string action. 展开更多
关键词 Wellbore stability Damage mechanics Fatigue modeling Drill string vibration
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Branes in String/M-Theory
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作者 J X Lu 《Communications in Theoretical Physics》 2025年第9期170-194,共25页
This is a writeup of lectures delivered at the Asian Pacific Introductory School on Superstring and Related Topics in Beijing(2006)and an expanded version of these lectures given at the Third Summer School on Strings,... This is a writeup of lectures delivered at the Asian Pacific Introductory School on Superstring and Related Topics in Beijing(2006)and an expanded version of these lectures given at the Third Summer School on Strings,Fields and Holography in Nanjing(2023).It aims to provide both a historical and pedagogical account of developments in finding 1/2 Bogomol?nyi–Prasad–Sommerfield(BPS)extended string solitons during the early stage of the so-called second string revolution,before which these objects were thought to be unrelated to strings.Nonsupersymmetric solutions related to brane/anti brane systems or non-BPS systems are also discussed. 展开更多
关键词 p-brane D-BRANE string/M-Theory
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The analysis of drill string dynamics for extra-deep wells based on successive over-relaxation node iteration method
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作者 Wen-Chang Wang He-Yuan Yang +4 位作者 Da-Kun Luo Ming-Ming You Xing Zhou Feng Chen Qin-Feng Di 《Petroleum Science》 2025年第8期3293-3303,共11页
The complex vibration directly affects the dynamic safety of drill string in ultra-deep wells and extra-deep wells.It is important to understand the dynamic characteristics of drill string to ensure the safety of dril... The complex vibration directly affects the dynamic safety of drill string in ultra-deep wells and extra-deep wells.It is important to understand the dynamic characteristics of drill string to ensure the safety of drill string.Due to the super slenderness ratio of drill string,strong nonlinearity implied in dynamic analysis and the complex load environment,dynamic simulation of drill string faces great challenges.At present,many simulation methods have been developed to analyze drill string dynamics,and node iteration method is one of them.The node iteration method has a unique advantage in dealing with the contact characteristics between drill string and borehole wall,but its drawback is that the calculation consumes a considerable amount of time.This paper presents a dynamic simulation method of drilling string in extra-deep well based on successive over-relaxation node iterative method(SOR node iteration method).Through theoretical analysis and numerical examples,the correctness and validity of this method were verified,and the dynamics characteristics of drill string in extra-deep wells were calculated and analyzed.The results demonstrate that,in contrast to the conventional node iteration method,the SOR node iteration method can increase the computational efficiency by 48.2%while achieving comparable results.And the whirl trajectory of the extra-deep well drill string is extremely complicated,the maximum rotational speed downhole is approximately twice the rotational speed on the ground.The dynamic torque increases rapidly at the position of the bottom stabilizer,and the lateral vibration in the middle and lower parts of drill string is relatively intense. 展开更多
关键词 Extra-deep well Drill string dynamics Calculation speed-up method SOR iteration method
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深入探讨Java中的String类 被引量:1
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作者 李斌 王睿 何成芊 《长沙通信职业技术学院学报》 2009年第3期42-44,共3页
文章分析了java的String类的本质,在此基础上,对其创建原理作了更为详尽的阐述。
关键词 JAVA string string string对象创建
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基于String Kernel和KPCA的负实例语法特征提取算法
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作者 吕威 林文昶 +1 位作者 姚正安 李磊 《计算机工程与应用》 CSCD 北大核心 2009年第20期136-139,共4页
提出通过String Kernel方法把负实例语法数据库中的负实例转化成核矩阵,再用Kernel Principal Component Analysis(KPCA)对转换的核矩阵进行特征提取,进而可将原始负实例数据库按照这些特征分成多个容量较小的特征表。通过构造负实例特... 提出通过String Kernel方法把负实例语法数据库中的负实例转化成核矩阵,再用Kernel Principal Component Analysis(KPCA)对转换的核矩阵进行特征提取,进而可将原始负实例数据库按照这些特征分成多个容量较小的特征表。通过构造负实例特征索引表设计了一个分类器,待检查的句子通过此分类器被分配到某个负实例特征表里进行匹配搜索,而此特征表的特征属性数和记录数要远远小于原始负实例数据库中的相应数目,从而大大提高了检查的速度,同时不影响语法检查的精度。通过比较测试,可看出提出的方法在保证语法检查精确度的同时有更快的速度。 展开更多
关键词 string KERNEL 核主成分分析 负实例 特征提取
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String核负实例语法特征提取算法
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作者 吕威 林文昶 李磊 《计算机工程》 CAS CSCD 北大核心 2009年第23期12-14,共3页
通过String核方法把语法数据库中的负实例转化成核矩阵,采用Kmeans聚类算法对核矩阵进行聚类,将原始负实例数据库分成多个容量较小的特征数据表,使大规模O(n3)核矩阵转换为n/s×O(s3)(s<<n)矩阵,以减少运算量。分析语法检查... 通过String核方法把语法数据库中的负实例转化成核矩阵,采用Kmeans聚类算法对核矩阵进行聚类,将原始负实例数据库分成多个容量较小的特征数据表,使大规模O(n3)核矩阵转换为n/s×O(s3)(s<<n)矩阵,以减少运算量。分析语法检查精度随Kmeans聚类参数的变化规律。实验结果表明,该算法在不降低语法检查精度的前提下提高了语法检查速度。 展开更多
关键词 Kmeans方法 聚类 string 负实例 特征提取
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Suppression strategy for parametrically excited lateral vibration of mass-loaded string
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作者 张长友 朱昌明 林忠钦 《Journal of Southeast University(English Edition)》 EI CAS 2004年第2期165-169,共5页
This paper discusses a simple way to suppress the parametrically excited lateral vibration of a mass-loaded string. Supposing that the mass at the lower end of the string is subjected to a vertical harmonic excitation... This paper discusses a simple way to suppress the parametrically excited lateral vibration of a mass-loaded string. Supposing that the mass at the lower end of the string is subjected to a vertical harmonic excitation and neglecting the higher order vibration modes, the equation of motion for the mass-loaded string can be represented by a Mathieus equation with cubic nonlinearity. According to the theory of the Mathieus equation, in the mass-loaded string system, when the vertical vibration frequency of the mass approaches twice the natural frequency of the string lateral vibration, once the vertical vibration amplitude of the mass exceeds a critical value, the parametric resonance will occur in the string. To avoid the parametric resonance, a vibration absorber, composed of a thin beam and two mass blocks attached at both sides of the beam symmetrically, is proposed to install with the mass to reduce its vertical vibration, and ultimately suppress the lateral vibration of the string. Such a suppression strategy is finally validated by experiments. 展开更多
关键词 mass-loaded string parametric resonance vibration absorber
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AR-序列的中间项与String代数
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作者 林卫强 《漳州师院学报》 2000年第2期21-23,共3页
设A是一次monomial代数。
关键词 onomil代数 AR序列 中间项 string代数
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String方法在丙氨酸多肽链中的应用 被引量:1
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作者 贾红霞 靳聪明 《浙江理工大学学报(自然科学版)》 2016年第2期297-303,共7页
蛋白质的构象变化在生命过程中起着重要的作用,蛋白质在发挥其功能时常伴有构象变化,有些疾病也是由蛋白质的构象发生变化引起的,典型的例子如老年痴呆、疯牛病等就是某些蛋白质的构象由水溶性的蛋白变成了不溶性的纤维性蛋白引起的。... 蛋白质的构象变化在生命过程中起着重要的作用,蛋白质在发挥其功能时常伴有构象变化,有些疾病也是由蛋白质的构象发生变化引起的,典型的例子如老年痴呆、疯牛病等就是某些蛋白质的构象由水溶性的蛋白变成了不溶性的纤维性蛋白引起的。知道构象变化的过程对理解蛋白质相关性质起着重要作用,但从原子尺度研究构象变化是极具挑战的问题。文章利用String方法从原子尺度研究了多肽链的310-螺旋和α-螺旋之间的构象变化。文中用零温度String方法研究多肽链310-螺旋和α-螺旋之间的构象变化,从不同的初始路径得到了不同的最优路径和过渡态,其中有显著势垒的过渡态是与310-螺旋相似的构型;利用有限温度String方法研究多肽的构象变化,采用了Langevin动力学和分子动力学两种采样法,得到了它的转移路径系综,通过与零温度String方法结果比较说明了模拟结果的有效性。 展开更多
关键词 string方法 多肽链 转移路径 构象变化
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Effect of information delay on string stability of platoon of automated vehicles under typical information frameworks 被引量:12
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作者 肖凌云 高峰 《Journal of Central South University》 SCIE EI CAS 2010年第6期1271-1278,共8页
The effect of the information delay, which was caused by thc naturc of the distance sensors and wireless communication systems, on the string stability of platoon of automated vehicles was studied. The longitudinal ve... The effect of the information delay, which was caused by thc naturc of the distance sensors and wireless communication systems, on the string stability of platoon of automated vehicles was studied. The longitudinal vehicle dynamics model was built by taking the information delay into consideration, and three typical information frameworks, i.e., leader-predecessor framework (LPF), multiple-predecessors framework (MPF) and predecessor-successor framework (PSF), were defined and their related spacing error dynamics models in frequency domain were proposed. The string stability of platoon of automated vehicles was analyzed for the LPF, MPF and PSF, respectively. Meanwhile, the related sufficient string stable conditions were also obtained. The results demonstrate that the string stability can be guaranteed tbr the LPF and PSF with considering the information delay, but the ranges of the control gains of the control laws are smaller than those without considering the information delay. For the MPF, the "weak" string stability, which can be guaranteed without considering the information delay, cannot be obtained with considering the information delay. The comparative simulations further demonstrate that the LPF shows better string stability, but the PSF shows better string scalable performance. 展开更多
关键词 string stability information delay information framework automated vehicle intelligent transportation system
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Study of Temperature Distribution Along an Artificially Polluted Insulator String 被引量:25
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作者 B Subba Reddy G R Nagabhushana 《Plasma Science and Technology》 SCIE EI CAS CSCD 2003年第2期1715-1720,共6页
Insulator becomes wet partially or completely, and the pollution layer on itbecomes conductive, when collecting pollutants for an extended period during dew, light rain, mist,fog or snow melting. Heavy rain is a compl... Insulator becomes wet partially or completely, and the pollution layer on itbecomes conductive, when collecting pollutants for an extended period during dew, light rain, mist,fog or snow melting. Heavy rain is a complicated factor that it may wash away the pollution layerwithout initiating other stages of breakdown or it may bridge the gaps between sheds to promoteflashover. The insulator with a conducting pollution layer being energized, can cause a surfaceleakage current to flow (also temperature-rise). As the surface conductivity is non-uniform, theconducting pollution layer becomes broken by dry bands (at spots of high current density),interrupting the flow of leakage current. Voltage across insulator gets concentrated across drybands, and causes high electric stress and breakdown (dry band arcing). If the resistance of theinsulator surface is sufficiently low, the dry band arcs can be propagated to bridge the terminalscausing flashover. The present paper concerns the evaluation of the temperature distribution alongthe surface of an energized artificially polluted insulator string. 展开更多
关键词 temperature distribution artificially polluted insulator string
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Cooperative adaptive bidirectional control of a train platoon for efficient utility and string stability 被引量:8
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作者 高士根 董海荣 +3 位作者 宁滨 Roberts Clive 陈磊 孙绪彬 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第9期161-170,共10页
This paper proposes cooperative adaptive control schemes for a train platoon to improve efficient utility and guarantee string stability. The control schemes are developed based on a bidirectional strategy, i.e., the ... This paper proposes cooperative adaptive control schemes for a train platoon to improve efficient utility and guarantee string stability. The control schemes are developed based on a bidirectional strategy, i.e., the information of proximal(preceding and following) trains is used in the controller design. Based on available proximal information(prox-info) of location, speed, and acceleration, a direct adaptive control is designed to maintain the tracking interval at the minimum safe distance. Based on available prox-info of location, an observer-based adaptive control is designed to achieve the same target, which alleviates the requirements of equipped sensors to measure prox-info of speed and acceleration. The developed schemes are capable of on-line estimating of the unknown system parameters and stabilizing the closed-loop system, the string stability of train platoon is guaranteed on the basis of Lyapunov stability theorem. Numerical simulation results are presented to verify the effectiveness of the proposed control laws. 展开更多
关键词 train platoon string stability cooperative adaptive control efficient utility
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Breath and string test: A diagnostic package for the identification of treatment failure and antibiotic resistance of Helicobacter pylori without the necessity of upper gastrointestinal endoscopy 被引量:10
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作者 Andreas Leodolter Kathlen Wolle +5 位作者 Ulrike von Arnim Stefan Kahl Gerhard Treiber Matthias P.Ebert Ulrich Peitz Peter Malfertheiner 《World Journal of Gastroenterology》 SCIE CAS CSCD 2005年第4期584-586,共3页
AIM: Helicobacter pylori (H pylori) resistance after failed eradication has a major impact on the outcome of a further treatment regimen. The aim of this study was to assess the validity of a non-invasive strategy usi... AIM: Helicobacter pylori (H pylori) resistance after failed eradication has a major impact on the outcome of a further treatment regimen. The aim of this study was to assess the validity of a non-invasive strategy using the 13C-urea breath test (UBT) and the gastric string test in identifying post-treatment resistance of H pylori. METHODS: The UBT was routinely performed 4 to 6 wk after H pylori eradication therapy. Forty-two patients (24 females, 18 males, mean age 48 years) with a positive UBT were included in the study. A gastric string test using a capsule containing a 90 cm-long nylon fiber was performed. Before the capsule was swallowed, the free end of the string was taped to the cheek. After one hour in the stomach, the string was withdrawn. The distal 20 cm of the string was inoculated onto an agar plate and processed under micro-aerophilic conditions. Following the string test, upper gastrointestinal endoscopy was performed to obtain gastric biopsies for conventional culture. RESULTS: H pylori was successfully cultured from the gastric string in 34 patients (81%), but not in 5 patients due to contamination with oropharyngeal flora. H py/oriwas cultured from the gastric biopsies obtained at endoscopy in 39 patients (93%). CONCLUSION: The UBT followed by the gastric string test in the case of treatment failure is a valid diagnostic strategy with the aim of determining the post-therapeutic antibiotic resistance of H pylori with little inconvenience to the patient. Upper Gl-endoscopy can be avoided in several cases by applying consequently this diagnostic package. 展开更多
关键词 Helicobacter pylorr Antibiotic resistance 13C-urea breath test Gastric string test
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