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Improved genetic algorithm for nonlinear programming problems 被引量:8
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作者 Kezong Tang Jingyu Yang +1 位作者 Haiyan Chen Shang Gao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第3期540-546,共7页
An improved genetic algorithm(IGA) based on a novel selection strategy to handle nonlinear programming problems is proposed.Each individual in selection process is represented as a three-dimensional feature vector whi... An improved genetic algorithm(IGA) based on a novel selection strategy to handle nonlinear programming problems is proposed.Each individual in selection process is represented as a three-dimensional feature vector which is composed of objective function value,the degree of constraints violations and the number of constraints violations.It is easy to distinguish excellent individuals from general individuals by using an individuals' feature vector.Additionally,a local search(LS) process is incorporated into selection operation so as to find feasible solutions located in the neighboring areas of some infeasible solutions.The combination of IGA and LS should offer the advantage of both the quality of solutions and diversity of solutions.Experimental results over a set of benchmark problems demonstrate that IGA has better performance than other algorithms. 展开更多
关键词 非线性规划问题 改进遗传算法 改进的遗传算法 特征向量 目标函数值 选择策略 选拔过程 选择操作
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Further study on a class of augmented Lagrangians of Di Pillo and Grippo in nonlinear programming 被引量:2
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作者 杜学武 梁玉梅 张连生 《Journal of Shanghai University(English Edition)》 CAS 2006年第4期293-298,共6页
在这份报纸, Di Pillo 和 Grippo (DGAL ) 的扩充 Lagrangians 的一个类被考虑,为解决经由非强迫的最小化技术的抑制平等的问题。关系进一步在问题的产品空格在 DGAL 的非强迫的 minimizers 之间被讨论变量和 multipliers,和抑制问... 在这份报纸, Di Pillo 和 Grippo (DGAL ) 的扩充 Lagrangians 的一个类被考虑,为解决经由非强迫的最小化技术的抑制平等的问题。关系进一步在问题的产品空格在 DGAL 的非强迫的 minimizers 之间被讨论变量和 multipliers,和抑制问题的解决方案和 Lagrange multipliers 的相应的值。产生性质更精确显示 DGAL 的这个类更多样地是准确的惩罚功能。因此,抑制平等的问题的一个解决方案和 Lagrange multipliers 的相应的值能被在问题变量和 multipliers 的产品空格执行 DGAL 的单个非强迫的最小化发现。关键词非线性的编程 - 抑制优化 - 扩充 Lagrangians - Di Pillo 和 Grippo 2000 数学题目分类 90C30 的扩充 展开更多
关键词 非线性规划 约束最优化 扩展拉格朗日法 DGALs
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Penalized interior point approach for constrained nonlinear programming 被引量:1
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作者 陆文婷 姚奕荣 张连生 《Journal of Shanghai University(English Edition)》 CAS 2009年第3期248-254,共7页
A penalized interior point approach for constrained nonlinear programming is examined in this work.To overcome the difficulty of initialization for the interior point method,a problem equivalent to the primal problem ... A penalized interior point approach for constrained nonlinear programming is examined in this work.To overcome the difficulty of initialization for the interior point method,a problem equivalent to the primal problem via incorporating an auxiliary variable is constructed.A combined approach of logarithm barrier and quadratic penalty function is proposed to solve the problem.Based on Newton's method,the global convergence of interior point and line search algorithm is proven.Only a finite number of iterations is required to reach an approximate optimal solution.Numerical tests are given to show the effectiveness of the method. 展开更多
关键词 约束非线性规划 内点法 惩罚 线搜索算法 近似最优解 辅助变量 全局收敛 数值试验
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NONLINEAR PROGRAMMING PROBLEMS IN MINE VENTILATION NETWORKS AND THEIR SOLUTIONS
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作者 Xie,Xian Ping Zhao,Zichwng Kunming Institute of Technology,Kunming 650093,China 《中国有色金属学会会刊:英文版》 CSCD 1993年第2期88-91,96,共5页
Converting the balance equation of the branch of a mine ventilation network into an equivalent nonlinearprogramming problem,this paper proves that the total sum of the energy loss in every branch will be a minimumwhen... Converting the balance equation of the branch of a mine ventilation network into an equivalent nonlinearprogramming problem,this paper proves that the total sum of the energy loss in every branch will be a minimumwhen the airflow distribution in the networks is in a balanced state.The energy means of solving the networkequations by nodal methods is also noted,and a theorem for the unique existence of the solution for a networkbalance equation is give.An example is used to explain these conclusions. 展开更多
关键词 nonlinear programming MINE ventilation energy AIRFLOW DISTRIBUTION
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A Combined Homotopy Infeasible Interior-Point Method for Convex Nonlinear Programming 被引量:3
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作者 杨轶华 吕显瑞 刘庆怀 《Northeastern Mathematical Journal》 CSCD 2006年第2期188-192,共5页
In this paper, on the basis of the logarithmic barrier function and KKT conditions , we propose a combined homotopy infeasible interior-point method (CHIIP) for convex nonlinear programming problems. For any convex no... In this paper, on the basis of the logarithmic barrier function and KKT conditions , we propose a combined homotopy infeasible interior-point method (CHIIP) for convex nonlinear programming problems. For any convex nonlinear programming, without strict convexity for the logarithmic barrier function, we get different solutions of the convex programming in different cases by CHIIP method. 展开更多
关键词 凸非线性规划 非可实行内点法 同伦法 整体会聚
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An Interval-parameter Fuzzy Robust Nonlinear Programming Model for Water Quality Management
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作者 Min Liu Guoxin Nie +2 位作者 Ming Hu Renfei Liao Yangshuo Shen 《Journal of Water Resource and Protection》 2013年第1期12-16,共5页
Planning for water quality management is important for facilitating sustainable socio-economic development;however, the planning is also complicated by a variety of uncertainties and nonlinearities. In this study, an ... Planning for water quality management is important for facilitating sustainable socio-economic development;however, the planning is also complicated by a variety of uncertainties and nonlinearities. In this study, an interval-parameter fuzzy robust nonlinear programming (IFRNP) model was developed for water quality management to deal with such difficulties. The developed model incorporated interval nonlinear programming (INP) and fuzzy robust programming (FRP) methods within a general optimization framework. The developed IFRNP model not only could explicitly deal with uncertainties represented as discrete interval numbers and fuzzy membership functions, but also was able to deal with nonlinearities in the objective function. 展开更多
关键词 Water Quality Management INTERVAL programming FUZZY ROBUST programming nonlinear programming UNCERTAINTY
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A Parametric Linearization Approach for Solving Zero-One Nonlinear Programming Problems
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作者 Asadollah Mahmoodzadeh Vaziri A. V. Kamyad S. Efatti 《Applied Mathematics》 2011年第10期1207-1212,共6页
In this paper a new approach for obtaining an approximation global optimum solution of zero-one nonlinear programming (0-1 NP) problem which we call it Parametric Linearization Approach (P.L.A) is proposed. By using t... In this paper a new approach for obtaining an approximation global optimum solution of zero-one nonlinear programming (0-1 NP) problem which we call it Parametric Linearization Approach (P.L.A) is proposed. By using this approach the problem is transformed to a sequence of linear programming problems. The approximately solution of the original 0-1 NP problem is obtained based on the optimum values of the objective functions of this sequence of linear programming problems defined by (P.L.A). 展开更多
关键词 Zero-One programming nonlinear programming nonlinear Optimization
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An Exact Penalty Approach for Mixed Integer Nonlinear Programming Problems
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作者 Roohollah Aliakbari Shandiz Nezam Mahdavi-Amiri 《American Journal of Operations Research》 2011年第3期185-189,共5页
We propose an exact penalty approach for solving mixed integer nonlinear programming (MINLP) problems by converting a general MINLP problem to a finite sequence of nonlinear programming (NLP) problems with only contin... We propose an exact penalty approach for solving mixed integer nonlinear programming (MINLP) problems by converting a general MINLP problem to a finite sequence of nonlinear programming (NLP) problems with only continuous variables. We express conditions of exactness for MINLP problems and show how the exact penalty approach can be extended to constrained problems. 展开更多
关键词 MIXED INTEGER nonlinear programming Continuous programming EXACT PENALTY Method EXACT PENALTY FUNCTIONS
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A New Approach for Solving Nonlinear Equations by Using of Integer Nonlinear Programming
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作者 Armin Ghane-Kanafi Sohrab Kordrostami 《Applied Mathematics》 2016年第6期473-481,共9页
One of the most important issues in numerical calculations is finding simple roots of nonlinear equations. This topic is one of the oldest challenges in science and engineering. Many important problems in engineering,... One of the most important issues in numerical calculations is finding simple roots of nonlinear equations. This topic is one of the oldest challenges in science and engineering. Many important problems in engineering, to achieve the result need to solve a nonlinear equation. Thus, the formulation of a recursive relationship with high order of convergence and low time complexity is very important. This paper provides a modification to the Weerakoon-Fernando and Parhi-Gupta methods. It is shown that, in each iterate, the improved method requires three evaluations of the function and two evaluations of the first derivatives of function. The proposed with the Kou et al., Neta, Parhi-Gupta, Thukral and Mir et al. methods have been applied to a collection of 12 test problem. The results show that proposed approach significantly reduces the number of function calls when compared to the above methods. The numerical examples show that the proposed method is more efficiency than other methods in this class, such as sixth-order method of Parhi-Gupta or eighth-order method of Mir et al. and Thukral. We show that the order of convergence the proposed method is 9 and also, the modified method has the efficiency of . 展开更多
关键词 Newton Method nonlinear Equations Convergence Theorem Efficiency Index
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Nonlinear Programming Algorithm and Its Convergence Rate Analysis
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作者 王国富 李学全 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第1期8-13, ,共6页
In this paper,we improve the algorithm proposed by T.F.Colemen and A.R.Conn in paper [1]. It is shown that the improved algorithm is possessed of global convergence and under some conditions it can obtain locally supp... In this paper,we improve the algorithm proposed by T.F.Colemen and A.R.Conn in paper [1]. It is shown that the improved algorithm is possessed of global convergence and under some conditions it can obtain locally supperlinear convergence which is not possessed by the original algorithm. 展开更多
关键词 非线性规划 算法 收敛速率
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A UNIVERSAL APPROACH FOR CONTINUOUS OR DISCRETE NONLINEAR PROGRAMMINGS WITH MULTIPLE VARIABLES AND CONSTRAINTS
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作者 孙焕纯 王跃芳 柴山 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第10期1284-1292,共9页
A universal numerical approach for nonlinear mathematic programming problems is presented with an application of ratios of first-order differentials/differences of objective functions to constraint functions with resp... A universal numerical approach for nonlinear mathematic programming problems is presented with an application of ratios of first-order differentials/differences of objective functions to constraint functions with respect to design variables. This approach can be efficiently used to solve continuous and, in particular, discrete programmings with arbitrary design variables and constraints. As a search method, this approach requires only computations of the functions and their partial derivatives or differences with respect to design variables, rather than any solution of mathematic equations. The present approach has been applied on many numerical examples as well as on some classical operational problems such as one-dimensional and two-dimensional knap-sack problems, one-dimensional and two-dimensional resource-distribution problems, problems of working reliability of composite systems and loading problems of machine, and more efficient and reliable solutions are obtained than traditional methods. The present approach can be used without limitation of modeling scales of the problem. Optimum solutions can be guaranteed as long as the objective function, constraint functions and their first-order derivatives/differences exist in the feasible domain or feasible set. There are no failures of convergence and instability when this approach is adopted. 展开更多
关键词 连续非线性规划 离散非线性规划 搜索算法 微分函数
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EXACT AUGMENTED LAGRANGIAN FUNCTION FOR NONLINEAR PROGRAMMING PROBLEMS WITH INEQUALITY CONSTRAINTS
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作者 杜学武 张连生 +1 位作者 尚有林 李铭明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第12期1649-1656,共8页
An exact augmented Lagrangian function for the nonlinear nonconvex programming problems with inequality constraints was discussed. Under suitable hypotheses, the relationship was established between the local unconstr... An exact augmented Lagrangian function for the nonlinear nonconvex programming problems with inequality constraints was discussed. Under suitable hypotheses, the relationship was established between the local unconstrained minimizers of the augmented Lagrangian function on the space of problem variables and the local minimizers of the original constrained problem. Furthermore, under some assumptions,the relationship was also established between the global solutions of the augmented Lagrangian function on some compact subset of the space of problem variables and the global solutions of the constrained problem. Therefore, from the theoretical point of view, a solution of the inequality constrained problem and the corresponding values of the Lagrange multipliers can be found by the well-known method of multipliers which resort to the unconstrained minimization of the augmented Lagrangian function presented. 展开更多
关键词 拉格朗日函数 非线性规划问题 补偿函数 局部最小化
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Novel Method to Handle Inequality Constraints for Nonlinear Programming
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作者 黄远灿 《Journal of Beijing Institute of Technology》 EI CAS 2005年第2期145-149,共5页
By redefining the multiplier associated with inequality constraint as a positive definite function of the originally-defined multiplier, say, u2_i, i=1, 2, ..., m, nonnegative constraints imposed on inequality constra... By redefining the multiplier associated with inequality constraint as a positive definite function of the originally-defined multiplier, say, u2_i, i=1, 2, ..., m, nonnegative constraints imposed on inequality constraints in Karush-Kuhn-Tucker necessary conditions are removed. For constructing the Lagrange neural network and Lagrange multiplier method, it is no longer necessary to convert inequality constraints into equality constraints by slack variables in order to reuse those results dedicated to equality constraints, and they can be similarly proved with minor modification. Utilizing this technique, a new type of Lagrange neural network and a new type of Lagrange multiplier method are devised, which both handle inequality constraints directly. Also, their stability and convergence are analyzed rigorously. 展开更多
关键词 非线性设计 不平等约束 Lagrange神经网络 乘法器
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A Primal-dual Interior Point Method for Nonlinear Programming
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作者 张珊 姜志侠 《Northeastern Mathematical Journal》 CSCD 2008年第3期275-282,共8页
In this paper,we propose a primal-dual interior point method for solving general constrained nonlinear programming problems.To avoid the situation that the algorithm we use may converge to a saddle point or a local ma... In this paper,we propose a primal-dual interior point method for solving general constrained nonlinear programming problems.To avoid the situation that the algorithm we use may converge to a saddle point or a local maximum,we utilize a merit function to guide the iterates toward a local minimum.Especially,we add the parameterεto the Newton system when calculating the decrease directions.The global convergence is achieved by the decrease of a merit function.Furthermore,the numerical results confirm that the algorithm can solve this kind of problems in an efficient way. 展开更多
关键词 求解方法 非线性规划 原始对偶 内点法
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Nonlinear Programming Based Preamble Design for OFDM Systems
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作者 Ce-Wu Lu Xiao-Jun Liu +1 位作者 Yu-Jun Kuang Guang-You Fang 《Journal of Electronic Science and Technology of China》 2008年第1期25-28,共4页
A new preamble structure and design method for orthogonal frequency division multiplexing(OFDM)systems is described,which results a two-symbol long training preamble.The preamble contains four parts,the first part is ... A new preamble structure and design method for orthogonal frequency division multiplexing(OFDM)systems is described,which results a two-symbol long training preamble.The preamble contains four parts,the first part is the same as the third,and the four parts are calculated by using nonlinear programming(NLP)model such that the moving correlation of the preamble results a steep rectangular-like pulse of certain width,whose step-down indicates the timing offset.Simulation results in AWGN channel are given to evaluate the perf o rmance of the proposed preamble design. 展开更多
关键词 非线形程序设计 正交频率 导言设计 电子技术
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Solving a Class of Nonlinear Programming Problems via a Homotopy Continuation Method 被引量:1
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作者 苏孟龙 吕显瑞 《Northeastern Mathematical Journal》 CSCD 2008年第3期265-274,共10页
In this paper we present a homotopy continuation method for finding the Karush-Kuhn-Tucker point of a class of nonlinear non-convex programming problems. Two numerical examples are given to show that this method is ef... In this paper we present a homotopy continuation method for finding the Karush-Kuhn-Tucker point of a class of nonlinear non-convex programming problems. Two numerical examples are given to show that this method is effective.It should be pointed out that we extend the results of Lin et al.(see Appl.Math.Comput., 80(1996),209-224) to a broader class of non-convex programming problems. 展开更多
关键词 求解方法 一类非线性规划 连续同伦方法 数学分析
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Geometric Programming for Nonlinear Satellite Buffer Networks With Time Delays under L_(1)-Gain Performance
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作者 Yukang Cui Yihui Huang +1 位作者 Michael V.Basin Zongze Wu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第2期554-556,共3页
Dear Editor,This letter concerns the parameter tuning problem for nonlinear satellite buffer networks with communication delays, aiming to optimize their stability properties under L_(1)-gain. We first model the satel... Dear Editor,This letter concerns the parameter tuning problem for nonlinear satellite buffer networks with communication delays, aiming to optimize their stability properties under L_(1)-gain. We first model the satellite buffer networks by a nonlinear time-delay positive system and propose a novel characterization under which the nonlinear system is asymptotically stable with a prescribed L_(1)-induced performance. 展开更多
关键词 nonlinear system PRESCRIBED
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Recent Progress in Reinforcement Learning and Adaptive Dynamic Programming for Advanced Control Applications 被引量:1
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作者 Ding Wang Ning Gao +2 位作者 Derong Liu Jinna Li Frank L.Lewis 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第1期18-36,共19页
Reinforcement learning(RL) has roots in dynamic programming and it is called adaptive/approximate dynamic programming(ADP) within the control community. This paper reviews recent developments in ADP along with RL and ... Reinforcement learning(RL) has roots in dynamic programming and it is called adaptive/approximate dynamic programming(ADP) within the control community. This paper reviews recent developments in ADP along with RL and its applications to various advanced control fields. First, the background of the development of ADP is described, emphasizing the significance of regulation and tracking control problems. Some effective offline and online algorithms for ADP/adaptive critic control are displayed, where the main results towards discrete-time systems and continuous-time systems are surveyed, respectively.Then, the research progress on adaptive critic control based on the event-triggered framework and under uncertain environment is discussed, respectively, where event-based design, robust stabilization, and game design are reviewed. Moreover, the extensions of ADP for addressing control problems under complex environment attract enormous attention. The ADP architecture is revisited under the perspective of data-driven and RL frameworks,showing how they promote ADP formulation significantly.Finally, several typical control applications with respect to RL and ADP are summarized, particularly in the fields of wastewater treatment processes and power systems, followed by some general prospects for future research. Overall, the comprehensive survey on ADP and RL for advanced control applications has d emonstrated its remarkable potential within the artificial intelligence era. In addition, it also plays a vital role in promoting environmental protection and industrial intelligence. 展开更多
关键词 Adaptive dynamic programming(ADP) advanced control complex environment data-driven control event-triggered design intelligent control neural networks nonlinear systems optimal control reinforcement learning(RL)
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In vivo astrocyte reprogramming following spinal cord injury
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作者 Yannick N.Gerber Florence E.Perrin 《Neural Regeneration Research》 SCIE CAS CSCD 2024年第3期487-488,共2页
Harmful and helpful roles of astrocytes in spinal cord injury(SCI):SCI induce gradable sensory,motor and autonomic impairments that correlate with the lesion severity and the rostro-caudal location of the injury site.... Harmful and helpful roles of astrocytes in spinal cord injury(SCI):SCI induce gradable sensory,motor and autonomic impairments that correlate with the lesion severity and the rostro-caudal location of the injury site.The absence of spontaneous axonal regeneration after injury results from neuron-intrinsic and neuron-extrinsic parameters.Indeed,not only adult neurons display limited capability to regrow axons but also the injury environment contains inhibitors to axonal regeneration and a lack of growth-promoting factors.Amongst other cell populations that respond to the lesion,reactive astrocytes were first considered as only detrimental to spontaneous axonal regeneration.Indeed,astrocytes. 展开更多
关键词 INJURY IMPAIRMENT programming
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Transcriptional reprogramming during human osteoclast differentiation identifies regulators of osteoclast activity
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作者 Morten S.Hansen Kaja Madsen +6 位作者 Maria Price Kent Søe Yasunori Omata Mario M.Zaiss Caroline M.Gorvin Morten Frost Alexander Rauch 《Bone Research》 SCIE CAS CSCD 2024年第1期180-198,共19页
Enhanced osteoclastogenesis and osteoclast activity contribute to the development of osteoporosis,which is characterized by increased bone resorption and inadequate bone formation.As novel antiosteoporotic therapeutic... Enhanced osteoclastogenesis and osteoclast activity contribute to the development of osteoporosis,which is characterized by increased bone resorption and inadequate bone formation.As novel antiosteoporotic therapeutics are needed,understanding the genetic regulation of human osteoclastogenesis could help identify potential treatment targets.This study aimed to provide an overview of transcriptional reprogramming during human osteoclast differentiation.Osteoclasts were differentiated from CD14+monocytes from eight female donors.RNA sequencing during differentiation revealed 8980 differentially expressed genes grouped into eight temporal patterns conserved across donors.These patterns revealed distinct molecular functions associated with postmenopausal osteoporosis susceptibility genes based on RNA from iliac crest biopsies and bone mineral density SNPs.Network analyses revealed mutual dependencies between temporal expression patterns and provided insight into subtype-specific transcriptional networks.The donor-specific expression patterns revealed genes at the monocyte stage,such as filamin B(FLNB)and oxidized low-density lipoprotein receptor 1(OLR1,encoding LOX-1),that are predictive of the resorptive activity of mature osteoclasts.The expression of differentially expressed G-protein coupled receptors was strong during osteoclast differentiation,and these receptors are associated with bone mineral density SNPs,suggesting that they play a pivotal role in osteoclast differentiation and activity.The regulatory effects of three differentially expressed G-protein coupled receptors were exemplified by in vitro pharmacological modulation of complement 5 A receptor 1(C5AR1),somatostatin receptor 2(SSTR2),and free fatty acid receptor 4(FFAR4/GPR120).Activating C5AR1 enhanced osteoclast formation,while activating SSTR2 decreased the resorptive activity of mature osteoclasts,and activating FFAR4 decreased both the number and resorptive activity of mature osteoclasts.In conclusion,we report the occurrence of transcriptional reprogramming during human osteoclast differentiation and identified SSTR2 and FFAR4 as antiresorptive G-protein coupled receptors and FLNB and LOX-1 as potential molecular markers of osteoclast activity.These data can help future investigations identify molecular regulators of osteoclast differentiation and activity and provide the basis for novel antiosteoporotic targets. 展开更多
关键词 OSTEOCLAST programming identif
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