In the paper, Harnack inequality and derivative formula are established for stochastic differential equation driven by fractional Brownian motion with Hurst parameter H < 1/2. As applications, strong Feller propert...In the paper, Harnack inequality and derivative formula are established for stochastic differential equation driven by fractional Brownian motion with Hurst parameter H < 1/2. As applications, strong Feller property, log-Harnack inequality and entropy-cost inequality are given.展开更多
文摘目的观察针刺联合康复训练治疗前交叉韧带(anterior cruciate ligament,ACL)重建术后股四头肌萎缩的临床疗效。方法将92例ACL重建术后股四头肌萎缩的患者随机分为治疗组和对照组,每组46例。对照组采用康复训练,治疗组在康复训练基础上联合针刺治疗。观察两组治疗后视觉模拟量表(visual analog scale,VAS)评分、Lysholm评分、膝关节活动度、大腿周径萎缩指数、股四头肌厚度及伸膝肌力的变化,并比较两组临床疗效及治疗安全性。结果治疗组总有效率为93.5%,对照组为76.1%,两组比较差异有统计学意义(P<0.05)。两组治疗后Lysholm评分、VAS评分、膝关节活动度、大腿周径萎缩指数、股四头肌厚度、伸膝肌力分级与治疗前比较,差异有统计学意义(P<0.05);治疗组治疗后上述指标与对照组比较,差异有统计学意义(P<0.05)。两组治疗期间均未出现与治疗有关的不良事件。结论针刺联合康复训练能够有效改善ACL重建术后股四头肌萎缩,提高股四头肌厚度和肌力,增强患者膝关节功能。
基金supported by National Natural Science Foundation of China(Grant Nos.11131003 and 10901003)Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20100003110005)+2 种基金the Laboratory of Mathematical and Complex Systemsthe Fundamental Research Funds for the Central UniversitiesKey Project of Chinese Ministry of Education(Grant No.211077)
文摘In the paper, Harnack inequality and derivative formula are established for stochastic differential equation driven by fractional Brownian motion with Hurst parameter H < 1/2. As applications, strong Feller property, log-Harnack inequality and entropy-cost inequality are given.