To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations （NEE（s））, by developing two characteristics of construction and mechanization on auxiliary equation method, the second ki...To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations （NEE（s））, by developing two characteristics of construction and mechanization on auxiliary equation method, the second kind of elliptie equation is highly studied and new type solutions and Backlund transformation are obtained. Then （2＋ l ）-dimensional breaking soliton equation is chosen as an example and its infinite sequence soliton-like exact solutions are constructed with the help of symbolic computation system Mathematica, which include infinite sequence smooth soliton-like solutions of Jacobi elliptic type, infinite sequence compact soliton solutions of Jacobi elliptic type and infinite sequence peak soliton solutions of exponential function type and triangular function type.展开更多
目的探讨老年肌少症患者骨骼肌质量指数(SMI)与肥胖、骨质疏松的相关性,并分析不同SMI老年肌少症患者肠道菌群分布情况。方法将103例老年肌少症患者根据入选者SMI的均值(男5.1 kg/m2,女4.3 kg/m2)分为低SMI组(男38例,女11例)与极低SMI组...目的探讨老年肌少症患者骨骼肌质量指数(SMI)与肥胖、骨质疏松的相关性,并分析不同SMI老年肌少症患者肠道菌群分布情况。方法将103例老年肌少症患者根据入选者SMI的均值(男5.1 kg/m2,女4.3 kg/m2)分为低SMI组(男38例,女11例)与极低SMI组(男43例,女11例)。对不同性别两组肌少症患者SMI、体质量指数(BMI)、全身脂肪百分比、髋关节密度及股骨颈密度进行比较,并采用Pearson检验分析SMI与上述指标间的相关性。同时,采用PCR技术检测患者肠道菌群的含量。结果在老年男性患者中,极低SMI组的SMI[(4.4±0.5)kg/m2vs.(5.8±0.5)kg/m2]与BMI [(21.6±2.9)kg/m2vs.(24.8±3.1)kg/m2]显著低于低SMI组(t=12.062,P <0.001;t=4.740,P <0.001)。在老年女性中,极低SMI组的SMI显著低于低SMI组[(3.8±0.3)kg/m2vs.(4.8±0.8)kg/m2,t=7.065,P <0.001]。同时,在老年男性中,SMI与BMI成正相关(r=0.521,P <0.001),普拉梭菌[2.87(0.42,10.86)×106拷贝数/g vs. 9.57(1.33,36.04)×106拷贝数/g]、梭菌属Ⅰ族[3.03(0.39,20.47)×104拷贝数/g vs. 15.94(3.57,48.88)×104拷贝数/g]在极低SMI组的含量均显著少于低SMI组(Z=1.987,P=0.047;Z=2.943,P=0.003)。在老年女性中,SMI与全身脂肪百分比成负相关(r=-0.447,P=0.029);与低SMI组比较,极低SMI组患者肠球菌含量显著减少[2.56(0.20,54.82)×104拷贝数/g vs. 0.28(0.01,1.55)×104拷贝数/g,Z=2.068,P=0.040],梭菌属Ⅰ族含量显著增加[1.18 (0.37,11.73)×104拷贝数/g vs. 16.88(5.22,66.79)×104拷贝数/g,Z=2.134,P=0.034]。结论老年肌少症患者SMI与BMI及全身脂肪百分比显著相关,且肠道菌群在不同程度的SMI间有所差异。展开更多
目的比较老年人不同大便性状与肠道菌群间的相关性。方法将23例老年患者根据bristol大便分型分成便秘组(13例)及便溏组(10例),并同期选择9例健康人群为对照组。留取新鲜粪便样本并提取DNA,对细菌16S r DNA基因V4区进行粪便微生物DNA测序...目的比较老年人不同大便性状与肠道菌群间的相关性。方法将23例老年患者根据bristol大便分型分成便秘组(13例)及便溏组(10例),并同期选择9例健康人群为对照组。留取新鲜粪便样本并提取DNA,对细菌16S r DNA基因V4区进行粪便微生物DNA测序,对测序结果进行生物信息学分析。同时,采用酶联免疫吸附试验(ELISA)检测肿瘤坏死因子α(TNF-α)、白细胞介素10(IL-10)、IL-17、IL-22、白三烯B4(LTB-4)及前列腺素E2(PGE2)水平。采用Spearman法分析肠道菌群相对丰度与大便性状的相关性。结果三组患者间Shannon指数和Simpson指数比较,差异均有统计学意义(H=8.449,P=0.015;H=6.884,P=0.032),且便秘组患者Shannon指数[6.4(5.8,6.6)vs. 5.0(4.8,5.6)]和Simpson指数[0.95(0.93,0.97)vs. 0.88(0.83,0.94)]均显著高于便溏组患者(P均<0.05)。但三组患者间Ace指数和Chao指数比较,差异均无统计学意义(H=3.821,P=0.148;H=3.516,P=0.172)。三组患者间柯林斯均属(H=6.599,P=0.037)、丁酸弧菌属(H=8.707,P=0.013)、嗜胆菌属(H=7.354,P=0.025)、厌氧棍状均属(H=6.179,P=0.046)、巨球形均属(H=6.095,P=0.047)的相对丰度比较,差异均有统计学意义。而三组患者间TNF-α、IL-10、IL-17、IL-22、LTB-4及PGE2的比较,差异均无统计学意义(F=0.442、1.034、3.217、0.957、0.595、1.440,P均> 0.05)。同时,柯林斯菌属、丁酸弧菌属、嗜胆菌属、厌氧棍状菌属与大便稠度显著正相关(r=0.455、0.415、0.449、0.411,P=0.009、0.018、0.010、0.019)。结论在老年人中,大便性状的不同与肠道菌群的变化有关。展开更多
To seek new infinite sequence of exact solutions to nonlinear evolution equations, this paper gives the formula of nonlinear superposition of the solutions and Backlund transformation of Riccati equation. Based on tan...To seek new infinite sequence of exact solutions to nonlinear evolution equations, this paper gives the formula of nonlinear superposition of the solutions and Backlund transformation of Riccati equation. Based on tanh-function expansion method and homogenous balance method, new infinite sequence of exact solutions to Zakharov-Kuznetsov equation, Karamotc-Sivashinsky equation and the set of （2＋1）-dimensional asymmetric Nizhnik-Novikov-Veselov equations are obtained with the aid of symbolic computation system Mathematica. The method is of significance to construct infinite sequence exact solutions to other nonlinear evolution equations.展开更多
基金Supported by the Natural Natural Science Foundation of China under Grant No.10461006the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region,China under Grant No.NJZZ07031the Natural Science Foundation of Inner Mongolia Autonomous Region,China under Grant No.2010MS0111
文摘To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations （NEE（s））, by developing two characteristics of construction and mechanization on auxiliary equation method, the second kind of elliptie equation is highly studied and new type solutions and Backlund transformation are obtained. Then （2＋ l ）-dimensional breaking soliton equation is chosen as an example and its infinite sequence soliton-like exact solutions are constructed with the help of symbolic computation system Mathematica, which include infinite sequence smooth soliton-like solutions of Jacobi elliptic type, infinite sequence compact soliton solutions of Jacobi elliptic type and infinite sequence peak soliton solutions of exponential function type and triangular function type.
文摘目的探讨老年肌少症患者骨骼肌质量指数(SMI)与肥胖、骨质疏松的相关性,并分析不同SMI老年肌少症患者肠道菌群分布情况。方法将103例老年肌少症患者根据入选者SMI的均值(男5.1 kg/m2,女4.3 kg/m2)分为低SMI组(男38例,女11例)与极低SMI组(男43例,女11例)。对不同性别两组肌少症患者SMI、体质量指数(BMI)、全身脂肪百分比、髋关节密度及股骨颈密度进行比较,并采用Pearson检验分析SMI与上述指标间的相关性。同时,采用PCR技术检测患者肠道菌群的含量。结果在老年男性患者中,极低SMI组的SMI[(4.4±0.5)kg/m2vs.(5.8±0.5)kg/m2]与BMI [(21.6±2.9)kg/m2vs.(24.8±3.1)kg/m2]显著低于低SMI组(t=12.062,P <0.001;t=4.740,P <0.001)。在老年女性中,极低SMI组的SMI显著低于低SMI组[(3.8±0.3)kg/m2vs.(4.8±0.8)kg/m2,t=7.065,P <0.001]。同时,在老年男性中,SMI与BMI成正相关(r=0.521,P <0.001),普拉梭菌[2.87(0.42,10.86)×106拷贝数/g vs. 9.57(1.33,36.04)×106拷贝数/g]、梭菌属Ⅰ族[3.03(0.39,20.47)×104拷贝数/g vs. 15.94(3.57,48.88)×104拷贝数/g]在极低SMI组的含量均显著少于低SMI组(Z=1.987,P=0.047;Z=2.943,P=0.003)。在老年女性中,SMI与全身脂肪百分比成负相关(r=-0.447,P=0.029);与低SMI组比较,极低SMI组患者肠球菌含量显著减少[2.56(0.20,54.82)×104拷贝数/g vs. 0.28(0.01,1.55)×104拷贝数/g,Z=2.068,P=0.040],梭菌属Ⅰ族含量显著增加[1.18 (0.37,11.73)×104拷贝数/g vs. 16.88(5.22,66.79)×104拷贝数/g,Z=2.134,P=0.034]。结论老年肌少症患者SMI与BMI及全身脂肪百分比显著相关,且肠道菌群在不同程度的SMI间有所差异。
基金Project supported by the National Natural Science Foundation of China(Grant No.10461006)the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region,China(Grant No.NJZZ07031)+1 种基金the Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant No.200408020103)the Natural Science Research Program of Inner Mongolia Normal University,China(Grant No.QN005023)
文摘To seek new infinite sequence of exact solutions to nonlinear evolution equations, this paper gives the formula of nonlinear superposition of the solutions and Backlund transformation of Riccati equation. Based on tanh-function expansion method and homogenous balance method, new infinite sequence of exact solutions to Zakharov-Kuznetsov equation, Karamotc-Sivashinsky equation and the set of （2＋1）-dimensional asymmetric Nizhnik-Novikov-Veselov equations are obtained with the aid of symbolic computation system Mathematica. The method is of significance to construct infinite sequence exact solutions to other nonlinear evolution equations.
基金Project Supported by National Nature Science Foundation of China(10461006)the High Education Science ResearchProgramof Inner Mongolia(NJ02035)the Natural Science Foundation of Inner Mongolia(2004080201103)
基金National Natural Science Foundation of China(11761054,12071046,11261035)the Natural Science Foundation of Inner Mongolia Autonomous Region,China(2021MS01001,2015MS0108,2012MS0102)the Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region,China(NJZY19186,NJZZ12198)
