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面瘫治愈前后相关穴位静电位动态过程特征映射关系小样品分析及应用初探
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作者 李文明 梁利宇 +1 位作者 毕晓艳 韩建国 《中医临床研究》 2024年第26期12-16,共5页
目的:探寻面瘫治疗期间过程综合特征值与已康复期康复程度等级之间可通过模型描述的数学映射关系。方法:在实验中测量与治疗同步的面瘫患者相关穴位直流静电位,并按照中医学原理建立起描述相关穴位静电位的离散、失稳状态的基础特征值,... 目的:探寻面瘫治疗期间过程综合特征值与已康复期康复程度等级之间可通过模型描述的数学映射关系。方法:在实验中测量与治疗同步的面瘫患者相关穴位直流静电位,并按照中医学原理建立起描述相关穴位静电位的离散、失稳状态的基础特征值,构成有高度代表性和浓缩性的综合特征值。理论上从生物物理学“穴位的生物电势能”角度进行中西医结合的解释。结果:对3个综合特征值的曲线及其卡尔曼滤波曲线的7人平均值曲线进行观察,发现其所描述的失稳与散乱程度确实随着治愈过程而日趋减弱。在此基础上建立起治疗过程的过程特征值、组成小样本矩阵及相应的康复程度特征值图标(即教师值),运行数学工具软件MATLAB提供的随机森林搜索算法,建立起经3次检验正确率分别达到66.7%、66.67、83.3%的分类模型,初步证实了上述映射关系的存在。结论:建立一个正确率和稳定性足够高的映射关系数学模型,可预估治疗结果并为及时改进治疗方案提供参考信息。 展开更多
关键词 穴位生物电势能 过程特征值 映射关系 分类模型 随机森林搜索算法
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树上跳过程的Dirichlet特征值的估计(英文)
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作者 陈文英 刘学飞 《重庆三峡学院学报》 2006年第3期51-53,共3页
Dirichlet特征值在微分方程中有很深入的研究,本文用概率的方法研究树上跳过程的Dirichlet特征值,对它进行估计,得到一个比较好的估计式:[()()]10supinf?λ≥ω∈weIωe,它在自伴算子的谱中起着非常重要的作用。
关键词 树上跳过程 Dirichlct特征值:可逆马氏过程 不可约正则Q-矩阵
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Mechanical response features and failure process of soft surrounding rock around deeply buried three-centered arch tunnel 被引量:1
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作者 赵瑜 张志刚 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第10期4064-4073,共10页
Due to the extreme complexity of mechanical response of soft surrounding rock(SR) around a tunnel under high geostatic stress conditions, the integration of physical and numerical modeling techniques was adopted. Base... Due to the extreme complexity of mechanical response of soft surrounding rock(SR) around a tunnel under high geostatic stress conditions, the integration of physical and numerical modeling techniques was adopted. Based on the similarity theory, new composite-similar material was developed, which showed good agreement with the similarity relation and successfully simulated physico-mechanical properties(PMP) of deep buried soft rock. And the 800 mm×800 mm×200 mm physical model(PM) was conducted, in which the endoscopic camera technique was adopted to track the entire process of failure of the model all the time. The experimental results indicate that the deformation of SR around a underground cavern possessed the characteristics of development by stages and in delay, and the initial damage of SR could induce rapid failure in the later stage, and the whole process could be divided into three stages, including the localized extension of crack(the horizontal load(HL) was in the range of 130 k N to 170 k N, the vertical load(VL) was in the range of 119 k N to 153.8 k N), rapid crack coalescence(the HL was in the range of 170 k N to 210 k N, the VL was in the range of 153.8 k N to 182.5 k N) and residual strength(the HL was greater than 210 k N, the VL was greater than 182.5 k N). Under the high stress conditions, the phenomenon of deformation localization in the SR became serious and different space positions show different deformation characteristics. In order to further explore the deformation localization and progressive failure phenomenon of soft SR around the deeply buried tunnel, applying the analysis software of FLAC3 D three-dimensional explicit finite-difference method, based on the composite strain-softening model of Mohr-Coulomb shear failure and tensile failure, the calculation method of large deformation was adopted. Then, the comparative analysis between the PM experiment and numerical simulation of the three centered arch tunnels was implemented and the relationship of deformation localization and progressive failure of SR around a tunnel under high stress conditions was discussed. 展开更多
关键词 deeply buried tunnel physical model(PM) surrounding rock(SR) failure process
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