The paper is made of two parts.In first part,We give the growth and 1/4-theorems for spiral like maps on the unit ball in l^p.Particularly,corresponding results were given in B^p.In the second part,we give the growth ...The paper is made of two parts.In first part,We give the growth and 1/4-theorems for spiral like maps on the unit ball in l^p.Particularly,corresponding results were given in B^p.In the second part,we give the growth and 1/4-theorems for spirallike maps in an inner product space.We prove that the results is best.展开更多
目的探讨心脏磁共振组织追踪(cardiac magnetic resonance tissue tracing,CMR-TT)技术及T1 mapping技术在2型糖尿病(type 2 diabetes mellitus,T2DM)患者心肌损伤评估中的应用价值。材料与方法前瞻性收集2023年12月至2025年4月在我院...目的探讨心脏磁共振组织追踪(cardiac magnetic resonance tissue tracing,CMR-TT)技术及T1 mapping技术在2型糖尿病(type 2 diabetes mellitus,T2DM)患者心肌损伤评估中的应用价值。材料与方法前瞻性收集2023年12月至2025年4月在我院进行心脏磁共振检查的T2DM患者64例,健康对照(healthy controls,HC)32例。所有心脏磁共振图像数据导入专用软件进行分析,获取全心心肌应变参数、双心室功能参数以及左心室T1 mapping参数,采用t检验,Mann-Whitney U检验及卡方检验对两组间上述参数进行比较,采用Pearson及Spearman相关性分析心肌结构、功能与心肌应变的关联。结果T2DM组左心室心肌质量指数(left ventricular myocardial mass index,LVMI)、左心室重塑指数(left ventricular remodeling index,LVRI)增加(均P<0.001),左心室全局纵向应变(global longitudinal peak strain in the left ventricle,LV GLS)、右心室全局纵向应变降低(均P<0.05),T2DM组周向左心室收缩期峰值应变率(peak systolic strain rate of the left ventricle,LV PSSR)、纵向LV PSSR及左心室舒张期峰值应变率(diastolic peak strain rate of the left ventricle,LV PDSR)绝对值均降低(均P<0.019)。T2DM患者左心房/右心房(leftatrium/rightatrium,LA/RA)储存应变、LA/RA导管应变均降低(均P<0.001)。T2DM患者的细胞外容积(extracellular volume,ECV)较HC组升高(P<0.001)。双心室射血分数、收缩末期容积指数与双心室应变功能均相关(均P<0.003)。LVMI与左心室全局径向应变(global radial strain of the left ventricle,LV GRS)、左心室全局周向应变(global circumferential strain of the left ventricle,LV GCS)、LV GLS、周向LV PSSR、纵向LV PSSR、径向LV PDSR、周向LV PDSR、纵向LV PDSR相关(均P<0.021)。左心室舒张末期容积指数与LV GCS、LV GLS、周向LV PSSR、纵向LV PSSR、周向LV PDSR相关(均P<0.044)。右心室舒张末期容积指数与右心室全局周向应变相关(r=0.331,P=0.007)。LVRI与LV GLS及纵向LV PDSR相关(均P<0.01),且与径向LV PSSR弱相关(r=0.266,P=0.034)。结论T2DM患者全心心肌应变较对照组降低,ECV值升高,双心室心肌结构、功能与心肌应变相互关联,CMR-TT及T1 mapping技术可以有效检测糖尿病心肌损伤。展开更多
In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existe...In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existence of solutions for a kind of nonlinear Volterra integral equations in Z-M-PN space.展开更多
Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menge...Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results.展开更多
Objectives To investigate whether a longer time period of gadolinium ethoxybenzyl diethylenetriaminepen-taacetic add(Gd-EOB-DTPA)-enhanced T1 mapping scanning,as well as dynamic contrast-enhanced(DCE)and multiple hepa...Objectives To investigate whether a longer time period of gadolinium ethoxybenzyl diethylenetriaminepen-taacetic add(Gd-EOB-DTPA)-enhanced T1 mapping scanning,as well as dynamic contrast-enhanced(DCE)and multiple hepatobiliary phase magnetic resonance imaging(MRI)have the potential to provide information about liver function in rats with liver fibrosis.Methods Forty rats were divided into the carbon tetrachloride-induced hepatic injury groups[carbon tetrachloride for four(n=14),eight(n=8),or twelve(n=8)weeks]and the control group(n=10).Gd-EOB-DTPA-enhanced MRI was performed including T1-mapping(delayed to 50 min),DCE,and multiple hepatobiliary phases.Indocyanine green retention rate at 15 min(ICG-R15)was determined.Parameters such as T1 reduction rate(△T1),elimination half-life of △T1(T_(△T1 1/2)),relative enhancement(RE),time to maximum RE(T_(max)),and perfusion parameters were calculated.Pearson correlation analysis was used for correlation analysis between ICG-R15 and each MRI indices.Results △T1 at 30,40,and 50 min showed significant positive correlations with ICG-R15(r=0.784,0.653,0.757,P=0.007,0.041,0.030).T_(△T1 1/2) showed a significant positive correlation with ICG-R15(r=0.685,P=0.029).showed a significant positive correlation with ICG-R15(r=0.532,P=0.019).Conclusions △T1 in the late hepatobiliary phase and T_(△T1 1/2) exhibited moderate correlations with liver function.The longer time period of Gd-EOB-DTPA-enhanced Tl mapping scanning,as well as DCE and multiple hepatobiliary phases,may be of some value for estimating liver function in rats with liver fibrosis.展开更多
文摘The paper is made of two parts.In first part,We give the growth and 1/4-theorems for spiral like maps on the unit ball in l^p.Particularly,corresponding results were given in B^p.In the second part,we give the growth and 1/4-theorems for spirallike maps in an inner product space.We prove that the results is best.
文摘目的探讨心脏磁共振组织追踪(cardiac magnetic resonance tissue tracing,CMR-TT)技术及T1 mapping技术在2型糖尿病(type 2 diabetes mellitus,T2DM)患者心肌损伤评估中的应用价值。材料与方法前瞻性收集2023年12月至2025年4月在我院进行心脏磁共振检查的T2DM患者64例,健康对照(healthy controls,HC)32例。所有心脏磁共振图像数据导入专用软件进行分析,获取全心心肌应变参数、双心室功能参数以及左心室T1 mapping参数,采用t检验,Mann-Whitney U检验及卡方检验对两组间上述参数进行比较,采用Pearson及Spearman相关性分析心肌结构、功能与心肌应变的关联。结果T2DM组左心室心肌质量指数(left ventricular myocardial mass index,LVMI)、左心室重塑指数(left ventricular remodeling index,LVRI)增加(均P<0.001),左心室全局纵向应变(global longitudinal peak strain in the left ventricle,LV GLS)、右心室全局纵向应变降低(均P<0.05),T2DM组周向左心室收缩期峰值应变率(peak systolic strain rate of the left ventricle,LV PSSR)、纵向LV PSSR及左心室舒张期峰值应变率(diastolic peak strain rate of the left ventricle,LV PDSR)绝对值均降低(均P<0.019)。T2DM患者左心房/右心房(leftatrium/rightatrium,LA/RA)储存应变、LA/RA导管应变均降低(均P<0.001)。T2DM患者的细胞外容积(extracellular volume,ECV)较HC组升高(P<0.001)。双心室射血分数、收缩末期容积指数与双心室应变功能均相关(均P<0.003)。LVMI与左心室全局径向应变(global radial strain of the left ventricle,LV GRS)、左心室全局周向应变(global circumferential strain of the left ventricle,LV GCS)、LV GLS、周向LV PSSR、纵向LV PSSR、径向LV PDSR、周向LV PDSR、纵向LV PDSR相关(均P<0.021)。左心室舒张末期容积指数与LV GCS、LV GLS、周向LV PSSR、纵向LV PSSR、周向LV PDSR相关(均P<0.044)。右心室舒张末期容积指数与右心室全局周向应变相关(r=0.331,P=0.007)。LVRI与LV GLS及纵向LV PDSR相关(均P<0.01),且与径向LV PSSR弱相关(r=0.266,P=0.034)。结论T2DM患者全心心肌应变较对照组降低,ECV值升高,双心室心肌结构、功能与心肌应变相互关联,CMR-TT及T1 mapping技术可以有效检测糖尿病心肌损伤。
基金Supported by the National Natural Science Foundation of China (10761007)
文摘In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existence of solutions for a kind of nonlinear Volterra integral equations in Z-M-PN space.
基金Supported by the National Natural Science Foundation of China(11071108)the Natural Science Foundation of Jiangxi Province of China(2010GZS0147)
文摘Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results.
基金supported by the grants from the Major Program of the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(No.23KJA180005)the Postgraduate Research&Practice Innovation Program of Jiangsu Province(No.KYCX23_3384)。
基金the National Science Foundation of China(Grant No.81501446).
文摘Objectives To investigate whether a longer time period of gadolinium ethoxybenzyl diethylenetriaminepen-taacetic add(Gd-EOB-DTPA)-enhanced T1 mapping scanning,as well as dynamic contrast-enhanced(DCE)and multiple hepatobiliary phase magnetic resonance imaging(MRI)have the potential to provide information about liver function in rats with liver fibrosis.Methods Forty rats were divided into the carbon tetrachloride-induced hepatic injury groups[carbon tetrachloride for four(n=14),eight(n=8),or twelve(n=8)weeks]and the control group(n=10).Gd-EOB-DTPA-enhanced MRI was performed including T1-mapping(delayed to 50 min),DCE,and multiple hepatobiliary phases.Indocyanine green retention rate at 15 min(ICG-R15)was determined.Parameters such as T1 reduction rate(△T1),elimination half-life of △T1(T_(△T1 1/2)),relative enhancement(RE),time to maximum RE(T_(max)),and perfusion parameters were calculated.Pearson correlation analysis was used for correlation analysis between ICG-R15 and each MRI indices.Results △T1 at 30,40,and 50 min showed significant positive correlations with ICG-R15(r=0.784,0.653,0.757,P=0.007,0.041,0.030).T_(△T1 1/2) showed a significant positive correlation with ICG-R15(r=0.685,P=0.029).showed a significant positive correlation with ICG-R15(r=0.532,P=0.019).Conclusions △T1 in the late hepatobiliary phase and T_(△T1 1/2) exhibited moderate correlations with liver function.The longer time period of Gd-EOB-DTPA-enhanced Tl mapping scanning,as well as DCE and multiple hepatobiliary phases,may be of some value for estimating liver function in rats with liver fibrosis.
