Multiple complex networks, each with different properties and mutually fused, have the problems that the evolving process is time varying and non-equilibrium, network structures are layered and interlacing, and evolvi...Multiple complex networks, each with different properties and mutually fused, have the problems that the evolving process is time varying and non-equilibrium, network structures are layered and interlacing, and evolving characteristics are difficult to be measured. On that account, a dynamic evolving model of complex network with fusion nodes and overlap edges（CNFNOEs） is proposed. Firstly, we define some related concepts of CNFNOEs, and analyze the conversion process of fusion relationship and hierarchy relationship. According to the property difference of various nodes and edges, fusion nodes and overlap edges are subsequently split, and then the CNFNOEs is transformed to interlacing layered complex networks（ILCN）. Secondly,the node degree saturation and attraction factors are defined. On that basis, the evolution algorithm and the local world evolution model for ILCN are put forward. Moreover, four typical situations of nodes evolution are discussed, and the degree distribution law during evolution is analyzed by means of the mean field method.Numerical simulation results show that nodes unreached degree saturation follow the exponential distribution with an error of no more than 6%; nodes reached degree saturation follow the distribution of their connection capacities with an error of no more than 3%; network weaving coefficients have a positive correlation with the highest probability of new node and initial number of connected edges. The results have verified the feasibility and effectiveness of the model, which provides a new idea and method for exploring CNFNOE＇s evolving process and law. Also, the model has good application prospects in structure and dynamics research of transportation network, communication network, social contact network,etc.展开更多
目的探讨基于灶点理论的弧刃针疗法治疗顽固性网球肘的临床疗效。方法收集64例顽固性网球肘患者,采用随机数字表法分为对照组和观察组。其中对照组32例,采用局部痛点注射治疗。观察组32例,采用弧刃针疗法治疗,每周治疗1次,均治疗2次,分...目的探讨基于灶点理论的弧刃针疗法治疗顽固性网球肘的临床疗效。方法收集64例顽固性网球肘患者,采用随机数字表法分为对照组和观察组。其中对照组32例,采用局部痛点注射治疗。观察组32例,采用弧刃针疗法治疗,每周治疗1次,均治疗2次,分别记录并比较两组患者治疗前、治疗后1、2、4及24周随访的疼痛数字评分(numberal rating scale,NRS)、肘关节功能评分(Mayo elbow perfor⁃mance score,MEPS)、肩臂手残障(disabilities of the arm,shoulder and hand,DASH)评分以及24周随访时的疾病的疗效评分(Wangxuechang diease efficacy score,WDES)。结果治疗过程中两组患者均未见不良事件发生。两组患者治疗前的NRS、MEPS及DASH差异均无统计学意义(P>0.05);治疗后各时期,两组NRS、MEPS、DASH及24周随访时的WDES较治疗前均改善,治疗1周后,两组NRS差异无统计学意义(P>0.05),治疗2、4及24周随访时的NRS观察组低于对照组;治疗后1、2、4及24周随访时,观察组DASH评分低于对照组,MEPS评分高于对照组,差异有统计学意义(P<0.05),治疗24周后随访时的WDES,观察组优于对照组,差异有统计学意义(P<0.05)。结论局部痛点注射及弧刃针灶点松解治疗顽固性网球肘早期均能缓解疼痛,改善肘关节功能,而局部痛点注射治疗后远期效果欠佳,观察组治疗效果逐渐提升。展开更多
基金supported by the National Natural Science Foundation of China(615730176140149961174162)
文摘Multiple complex networks, each with different properties and mutually fused, have the problems that the evolving process is time varying and non-equilibrium, network structures are layered and interlacing, and evolving characteristics are difficult to be measured. On that account, a dynamic evolving model of complex network with fusion nodes and overlap edges（CNFNOEs） is proposed. Firstly, we define some related concepts of CNFNOEs, and analyze the conversion process of fusion relationship and hierarchy relationship. According to the property difference of various nodes and edges, fusion nodes and overlap edges are subsequently split, and then the CNFNOEs is transformed to interlacing layered complex networks（ILCN）. Secondly,the node degree saturation and attraction factors are defined. On that basis, the evolution algorithm and the local world evolution model for ILCN are put forward. Moreover, four typical situations of nodes evolution are discussed, and the degree distribution law during evolution is analyzed by means of the mean field method.Numerical simulation results show that nodes unreached degree saturation follow the exponential distribution with an error of no more than 6%; nodes reached degree saturation follow the distribution of their connection capacities with an error of no more than 3%; network weaving coefficients have a positive correlation with the highest probability of new node and initial number of connected edges. The results have verified the feasibility and effectiveness of the model, which provides a new idea and method for exploring CNFNOE＇s evolving process and law. Also, the model has good application prospects in structure and dynamics research of transportation network, communication network, social contact network,etc.
文摘目的探讨基于灶点理论的弧刃针疗法治疗顽固性网球肘的临床疗效。方法收集64例顽固性网球肘患者,采用随机数字表法分为对照组和观察组。其中对照组32例,采用局部痛点注射治疗。观察组32例,采用弧刃针疗法治疗,每周治疗1次,均治疗2次,分别记录并比较两组患者治疗前、治疗后1、2、4及24周随访的疼痛数字评分(numberal rating scale,NRS)、肘关节功能评分(Mayo elbow perfor⁃mance score,MEPS)、肩臂手残障(disabilities of the arm,shoulder and hand,DASH)评分以及24周随访时的疾病的疗效评分(Wangxuechang diease efficacy score,WDES)。结果治疗过程中两组患者均未见不良事件发生。两组患者治疗前的NRS、MEPS及DASH差异均无统计学意义(P>0.05);治疗后各时期,两组NRS、MEPS、DASH及24周随访时的WDES较治疗前均改善,治疗1周后,两组NRS差异无统计学意义(P>0.05),治疗2、4及24周随访时的NRS观察组低于对照组;治疗后1、2、4及24周随访时,观察组DASH评分低于对照组,MEPS评分高于对照组,差异有统计学意义(P<0.05),治疗24周后随访时的WDES,观察组优于对照组,差异有统计学意义(P<0.05)。结论局部痛点注射及弧刃针灶点松解治疗顽固性网球肘早期均能缓解疼痛,改善肘关节功能,而局部痛点注射治疗后远期效果欠佳,观察组治疗效果逐渐提升。
