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均质滤料过滤过程的毛细管去除浊质模型 被引量:10
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作者 景有海 金同轨 范瑾初 《中国给水排水》 CAS CSCD 北大核心 2000年第6期1-4,共4页
通过将粒状材料组成的滤床抽象为由无数条毛细管道组成的管束 ,将过滤过程描述为水流在毛细管道中流动时的管壁吸附过程 ,从而推导出了均质滤料过滤过程的浊质去除数学模型。
关键词 均质滤料 过滤 毛细管模型 毛细管道 给水处理
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粒状滤料过滤理论浅析 被引量:2
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作者 李国会 李晓华 王继斌 《中国环境管理干部学院学报》 CAS 2006年第1期54-56,共3页
粒状滤料过滤理论的主要内容是过滤机理、过滤方程式和反冲洗机理。过滤机理有悬浮颗粒的迁移机理、悬浮颗粒的吸附机理和脱落机理等。过滤在水澄清的同时,滤层的水头损失增加,整个过程涉及因素多而且复杂,过滤方程式很难得到解析性的答... 粒状滤料过滤理论的主要内容是过滤机理、过滤方程式和反冲洗机理。过滤机理有悬浮颗粒的迁移机理、悬浮颗粒的吸附机理和脱落机理等。过滤在水澄清的同时,滤层的水头损失增加,整个过程涉及因素多而且复杂,过滤方程式很难得到解析性的答案,所以过滤方程对过滤过程只起定性的作用。现在反冲洗机理的研究认为,悬浮颗粒从滤料表面脱落是水流剪切和颗粒碰撞综合作用的结果。 展开更多
关键词 粒状滤料 过滤理论 过滤机理 过滤方程 反冲洗机理
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Analysis of chronic kidney disease staging with different estimated glomerular filtration rate equations in Chinese centenarians 被引量:6
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作者 Qiu-Xia Han Dong Zhang +9 位作者 Ya-Li Zhao Liang Liu Jing Li Fu Zhang Fu-Xin Luan Jia-Yu Duan Zhang-Suo Liu Guang-Yan Cai Xiang-Mei Chen Han-Yu Zhu 《Chinese Medical Journal》 SCIE CAS CSCD 2019年第5期512-518,共7页
Background: Accurate estimation of the glomerular filtration rate (GFR) and staging of chronic kidney disease (CKD) are important. Currently, there is no research on the differences in several estimated GFR equations ... Background: Accurate estimation of the glomerular filtration rate (GFR) and staging of chronic kidney disease (CKD) are important. Currently, there is no research on the differences in several estimated GFR equations for staging CKD in a large sample of centenarians. Thus, this study aimed to investigate the differences in CKD staging with the most commonly used equations and to analyze sources of discrepancy. Methods: A total of 966 centenarians were enrolled in this study from June 2014 to December 2016 in Hainan province, China. The GFR with the Modification of Diet in Renal Disease (MDRD), Chronic Kidney Disease Epidemiology Collaboration (CKD-EPI) and Berlin Initiative Study 1 (BIS1) equations were estimated. Agreement between these equations was investigated with the k statistic and Bland-Altman plots. Sources of discrepancy were investigated by partial correlation analysis. Results: The k values of the MDRD and CKD-EPI equations, MDRD and BIS1 equations, and CKD-EPI and BIS1 equations were 0.610, 0.253, and 0.381, respectively. Serum creatinine (Scr) explained 10.96%, 41.60% and 17.06% of the variability in these three comparisons, respectively. Serum uric acid (SUA) explained 3.65% and 5.43% of the variability in the first 2 comparisons, respectively. Gender was associated with significant differences in these 3 comparisons (P<0.001). Conclusions: The strengths of agreement between the MDRD and CKD-EPI equations were substantial, but those between the MDRD and BIS 1 equations and the CKD-EPI and BIS 1 equations were fair. The difference in CKD staging of the first 2 comparisons strongly depended on Scr, SUA and gender, and that of CKD-EPI and BIS1 equations strongly depended on Scr and gender. The incidence at various stages of CKD staging was quite different. Thus, a new equation that is more suitable for the elderly needs to be built in the future. 展开更多
关键词 CHINESE CENTENARIANS Estimated glomerular filtration rate Modification of Diet in RENAL DISEASE equation Chronic Kidney DISEASE Epidemiology Collaboration equation Berlin Initiative Study 1 equation
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均质滤料床过滤运行情况的数值模拟 被引量:4
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作者 任伯帜 许仕荣 余健 《湖南大学学报(自然科学版)》 EI CAS CSCD 1999年第5期71-75,共5页
在分析均质滤料床过滤方程的基础上,合理选择含深度步长的参数α,从而将精确的过滤连续性方程简化. 采用有限差分法对简化方程进行离散,并用迭代法求解,得到了均质滤料床滤后出水浓度模拟结果. 经实验验证,两者吻合较好,从而为... 在分析均质滤料床过滤方程的基础上,合理选择含深度步长的参数α,从而将精确的过滤连续性方程简化. 采用有限差分法对简化方程进行离散,并用迭代法求解,得到了均质滤料床滤后出水浓度模拟结果. 经实验验证,两者吻合较好,从而为研究均质滤料床过滤运行情况提供了有效手段. 展开更多
关键词 均质滤料床 过滤方程 数值模拟 有限差分
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陶瓷膜微滤秸秆木聚糖酶解液的阻力及膜通量模型 被引量:5
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作者 赵鹤飞 杨瑞金 +3 位作者 熊明民 赵威 孙中国 郁全丰 《农业工程学报》 EI CAS CSCD 北大核心 2008年第7期227-232,共6页
膜技术应用的障碍在于膜污染和膜通量下降。为掌握无机陶瓷膜微滤处理爆破秸秆木聚糖酶酶解液过程中纤维、粗蛋白、木质素在膜材料上的吸附和沉积及其对膜透过液通量影响的规律,依据试验结果,应用线性拟合建立了滤饼层阻力随时间变化的... 膜技术应用的障碍在于膜污染和膜通量下降。为掌握无机陶瓷膜微滤处理爆破秸秆木聚糖酶酶解液过程中纤维、粗蛋白、木质素在膜材料上的吸附和沉积及其对膜透过液通量影响的规律,依据试验结果,应用线性拟合建立了滤饼层阻力随时间变化的数学模型,相关系数为0.9914;分别基于饱和模型,修正Pearl生长模型和Pearl生长模型,应用非线性拟合建立了吸附阻力随时间变化的数学模型,三种吸附阻力模型预测值与试验值相关系数分别为0.9931,0.9980,0.9982。在此基础上,建立了计算微滤膜通量的微分方程数学模型,模型预测值与试验值相关系数达到0.9963,重复试验数据与模型预测值相关系数0.9838。结果表明所建立的模型可以很好地对该料液体系微滤过程的膜通量衰减进行预测。 展开更多
关键词 低聚木糖 微滤 膜阻力 生长模型 微分方程
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The Mathematic Models of the Kalman Filtering for Across-Fault Measurement 被引量:1
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作者 You Lilan,Liu Dajie,Huang Jia’na,Liu Xue and Zhou KechangInstitute of Crustat Dynamics,SSB,Beijing 100085,China Wuhan Technical University of Surveying and Mapping,Wuhan 430070,China National Center for Seismic Data and Inforraanon,SSB,Beijing 100045,China 《Earthquake Research in China》 1994年第3期92-103,共12页
This paper makes a probe into the application of the Kalman filtering method to the data processing of across-fault measurements.On the basis of statistical regression,the mathematic and stochastic models of filtratio... This paper makes a probe into the application of the Kalman filtering method to the data processing of across-fault measurements.On the basis of statistical regression,the mathematic and stochastic models of filtration are established by combining the regression method with Kalman filtering.In the filtering computation,not only the randomness of fault movements but also the time-dependent variation of environmental effects have been taken into consideration.By use of the adaptive filtering method,an estimation of the dynamic noise variance matrix is obtained through iteration.Models for one measuring line(leveling line or baseline),two measuring lines(both leveling lines or both baselines)and four measuring lines(two leveling lines and two baselines)are derived and established systematically.By means of these models,the data of across-fault measurements can be processed dynamically in real-time to provide the filtered values of height difference between benchmarks or baseline length at different time 展开更多
关键词 Across-fault MEASUREMENT KALMAN filtration STATE equation OBSERVATIONAL equation Initial STATE Dynamic noise
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求解渗流方程的一种修正的中心型有限体积法 被引量:2
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作者 陈国芳 吴丹 吕俊良 《吉林大学学报(理学版)》 CAS 北大核心 2020年第5期1135-1141,共7页
针对数值求解渗流方程时,使用标准有限体积法出现数值界面不能有效向前传播的“数值热障”现象,提出一种修正的有限体积法,该方法扩散系数的取值采用密度变量在两个相邻单元的代数平均值.数值实验结果表明,新格式可有效避免“数值热障... 针对数值求解渗流方程时,使用标准有限体积法出现数值界面不能有效向前传播的“数值热障”现象,提出一种修正的有限体积法,该方法扩散系数的取值采用密度变量在两个相邻单元的代数平均值.数值实验结果表明,新格式可有效避免“数值热障”现象. 展开更多
关键词 有限体积法 渗流方程 非线性迭代 Barenblatt解
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基于Ergun方程的微灌砂颗粒形状系数测定方法研究 被引量:2
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作者 李景海 翟国亮 +1 位作者 刘清霞 李国强 《节水灌溉》 北大核心 2020年第12期1-5,共5页
形状系数表征石英砂颗粒与理想球体的差异程度,是影响砂滤层过滤水头损失和孔隙率的重要参数。为了对砂颗粒的形状特征进行准确描述,本文采用体积和砂颗粒相同的圆球外表面积与砂颗粒外表面积之比作为砂颗粒的形状系数,以粒径范围分别为... 形状系数表征石英砂颗粒与理想球体的差异程度,是影响砂滤层过滤水头损失和孔隙率的重要参数。为了对砂颗粒的形状特征进行准确描述,本文采用体积和砂颗粒相同的圆球外表面积与砂颗粒外表面积之比作为砂颗粒的形状系数,以粒径范围分别为1.18~1.4 mm和1.4~1.7 mm,厚度为400 mm的2种石英砂滤层为研究对象。首先,通过开展清水过滤试验,测量了滤层过滤速度及相应压降,采用注水法测量了滤层孔隙率,根据砂颗粒平均质量,计算了砂颗粒等体积当量直径。然后,根据多孔介质中液相动量方程,结合砂滤层过滤特征,对Ergun方程进行了推导,从理论上说明了Ergun方程对砂滤层的适用性。最后,根据Ergun方程,得出了砂颗粒等比外表面积当量直径,为了消除湍流对测量结果的影响,采用湍流强度对计算结果进行修正,最终得到2种滤层砂颗粒形状系数分别为0.821和0.798,最大相对误差仅为2.44,说明计算方法可行。计算结果表明,由于砂颗粒表面流动滞缓边界层的存在,随过滤速度的增加,等比外表面积当量直径计算结果呈减小趋势。同时,随过滤速度的增加,湍流稳定性逐渐增强,湍流强度则随之减小。为保证形状系数计算结果的准确性,清水过滤试验时,过滤速度的选取,应以湍流强度不低于10为控制范围。研究结论为砂滤料的选型和加工提供了技术参考。 展开更多
关键词 微灌 砂过滤器 石英砂滤层 阻力压降 形状系数 过滤速度 多孔介质 Ergun方程
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一种描述单级生物滤池过滤过程的数学模型
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作者 王晟 王晓昌 《西安建筑科技大学学报(自然科学版)》 CSCD 2002年第1期14-17,67,共5页
现有的过滤模型中只包含了水中颗粒物的去除 ,生物膜模型中只包含了水中可生物降解底物的去除 ,它们都无法描述单级生物滤池的过滤过程 .利用滤池的毛细管简化推导出了描述单级生物滤池过滤过程的数学模型 。
关键词 单级生物滤池 生物过滤 过滤 数学模型
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Accuracy of glomerular filtration rate estimation equations in patients with hematopathy
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作者 Han Sun Xiaohua Pei +1 位作者 Jianqing Wu Weihong Zhao 《The Journal of Biomedical Research》 CAS CSCD 2019年第1期46-55,共10页
Renal dysfunction is a common side-effect of chemotherapeutic agents in patients with hematopathy. Although broadly used, glomerular filtration rate(GFR) estimation equations were not fully validated in this specific ... Renal dysfunction is a common side-effect of chemotherapeutic agents in patients with hematopathy. Although broadly used, glomerular filtration rate(GFR) estimation equations were not fully validated in this specific population. Thus, this study was designed to further assess the accuracy of various GFR equations, including the newly 2012 CKD-EPI equations. Referring to ^(99m)Tc-DTPA clearance method, three Scr-based(MDRD, Peking, and CKD-EPI_(Scr)), three Scys C-based(Steven 1, Steven 2, and CKD-EPI_(Scys C)), and three Scr-Scys C combination based(Ma, Steven 3, and CKD-EPI_(Scr-Scys C)) equations were included. Bias, P_(30), and misclassification rate were applied to compare the applicability of the selected equations. A total of 180 Chinese hematological patients were enrolled.Mean bias, absolute mean bias, P_(30), misclassification rate and Bland-Altman plots of the CKD-EPI_(Scr-Scys C) equation were 7.90 mL/minute/1.73 m^2, 17.77 mL/minute/1.73 m^2, 73.3%, 38% and 79.7 mL/minute/1.73 m^2, respectively.CKD-EPI_(Scr-Scys C) predicted the most precise eGFR both in lymphoma and leukemia subgroups. Additionally, CKDEPI_(Scys C) equation in the rGFR■90 mL/minute/1.73 m^2 subgroup and Steven 2 equation in the rGFR<90 mL/minute/1.73 m^2 subgroup provided more accurate estimates in each subgroup. The CKD-EPI_(Scr-Scys C) equation could be recommended to monitor kidney function in hematopathy patients. The accuracy of GFR equations may be closely related with GFR level and kidney function markers, but not the primary cause of hematopathy. 展开更多
关键词 CREATININE CYSTATIN C equation glomerular filtration rate hematopathy
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ASYMPTOTIC NON-STABILITY AND BLOW-UP AT BOUNDARY FOR SOLUTIONS OF A FILTRATION EQUATION
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作者 曹镇潮 陈彭年 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第12期1643-1648,共6页
For a class of nonlinear filtration equation with nonlinear second-third boundary value condition, it is shown that a priori boundary of the solution can be estimated and controlled by initial data and integral on the... For a class of nonlinear filtration equation with nonlinear second-third boundary value condition, it is shown that a priori boundary of the solution can be estimated and controlled by initial data and integral on the boundary of the region. The priori estimate of the solutions was established by iterative method. By using this estimate the solutions may blow-up on the boundary of the region and thus it may have asymptotic non-stability. 展开更多
关键词 filtration equation priori estimate for the solution asymptotic non-stability blow-up on the boundary
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Influence of the Form of Porous Insert in the Flow of a Viscous Liquid in a Plane Pipe
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作者 Umurdin Dalabaev 《Journal of Applied Mathematics and Physics》 2022年第2期372-378,共7页
Filtration of an incompressible liquid (gas) in a non-deformable porous medium is investigated. The results of numerical simulation of the hydrodynamic features of the flow arising after the passage of the liquid thro... Filtration of an incompressible liquid (gas) in a non-deformable porous medium is investigated. The results of numerical simulation of the hydrodynamic features of the flow arising after the passage of the liquid through a layer of an immobile porous medium are presented. An interpenetrating model of multiphase media is used to describe such flows. Kozeny-Karman relations are used as the interaction force. The influence of the geometrical shape of the bulk layer on the nature and magnitude of the inhomogeneity of the flow velocity around the obstacle is shown. The shape of the porous medium significantly affects the flow parameters. Numerical simulation results are compared with experimental data. The shape of the porous medium significantly affects the flow parameters. Numerical simulation results are compared with experimental data. The effects of non-uniformity of the fluid velocity field arising due to the shape of the layer surface are investigated by the methods of a computational experiment. A qualitative comparison is made of velocity inhomogeneities when a fluid flows through a porous obstacle. For the numerical implementation of the filtration equation of the interpenetrating model, a SIMPLE-like algorithm was used. 展开更多
关键词 filtration Rahmatulin equation Fluid-Porous Interface
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边界受控的非线性扩散方程的整体可解性 被引量:1
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作者 李健 高文杰 刘琳琳 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2008年第5期801-808,共8页
讨论具有一般形式的对流项、扩散项、边界流项以及反应项的一维牛顿渗流方程初边值问题非负解的整体存在性.通过对含有解的Lr+1模的微分不等式进行估计,应用极限解的方法证明了解的整体存在性.
关键词 渗流方程 边值问题 整体可解性 整体存在性 弱解
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The Choice Between Three Simple Methods for Glomerular Filtration Rate Assessment in Different Stages of Chronic Parenchymal Renal Diseases
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作者 Milena P. Rajic Marina Vlajkovic +3 位作者 Slobodan Ilic Milos Stevic Vladan Sekulic Ljubinka Velickovi Jankovi 《Journal of Physical Science and Application》 2012年第9期372-380,共9页
Glomerular filtration rate (GFR) can be measured (mGFR) after intravenous application of indicators that are eliminated by kidneys or estimated (eGFR) using mathematic equations. We have compared eGFR obtained b... Glomerular filtration rate (GFR) can be measured (mGFR) after intravenous application of indicators that are eliminated by kidneys or estimated (eGFR) using mathematic equations. We have compared eGFR obtained by the chronic kidney diseases epidemiology collaboration (CKD-EPI) and the Modification of diet in renal disease (MDRD) Study equations with GFR measured by technetium-99m diethylene triamine penta-acetic acid (99m^Te-DTPA) renal clearance in different stages of renal diseases in order that obtained results may contribute to more adequate choice of methods for the GFR assessment in relation to the type and stage of kidney disease. The study included a total of 189 participants with diabetes mellitus (DM), glomerulonephritis (GN), Balkan endemic nephropathy (BEN) and healthy subjects. 99m^Tc-DTPA clearance (ml/min/1.73 m^2) was calculated from the regression equation based on high correlation between distribution volume of radiopharmaceutical and clearance values obtained by multiple blood samples. For blood sample taken at 3 h and 4 h, clearance was calculated according to the equations: y = -0.0128x^2 + 3.077x - 30.3, and y = -0.00628x^2 + 2.066x - 19.3, where y is clearance, and x is distribution volume. MDRD-GFR (ml/min/l.73 m2) was calculated from equation: 186 × Scr^-1154 × age^-0.203 × 0.742 if female. CKD-EPI-GFR was calculated from equation: 141 × min(Scr/K, 1)^ α ×max(Scr/K, 1)^-1 209 × 0.993age × 1.018 if female, where Scr is serum creatinine, n is 0.7 for females and 0.9 for males, c~ is -0.329 for females and -0.411 for males, min indicates the minimum of Scr/K or 1, and max indicates the maximum of Scr/κ or 1. Irrespective of renal disease, both equations underestimated radionuclide clearance at mGFR 〉 90 ml/min/1.73 m^2 (91.7 ± 18.8 and 88.2 ± 22.0 vs. 121± 19.6, p〈0.0001) and at mGFR 60-89 ml/min/1.73 m^2 (67.1 ±19.9 and 65.8 ± 19.9 vs. 75.8 ± 9.2, p 〈 0.05 and p 〈 0.005). They were also significantl 展开更多
关键词 Renal disease glomerular filtration rate 99^mTc-DTPA renal clearance CKD-EPI equation MDRD equation.
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非惯性系中的离心过滤速率
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作者 王建成 《山东轻工业学院学报(自然科学版)》 CAS 1999年第4期64-67,共4页
本文采用非惯性系研究方法,导出了离心过滤速率方程。
关键词 非惯性 速率方程 离心过滤
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一类双重退化渗流方程解的存在性
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作者 汤林冰 詹华税 《集美大学学报(自然科学版)》 CAS 2015年第3期225-229,共5页
结合Fichera-Oleinik理论,研究一类双重退化渗流方程ut=div(ρα#um),(x,t)∈QT=Ω×(0,T)的可解性问题.其中Ω是RN中的有界区域,边界Ω充分光滑,ρ(x)=dist(x,Ω),m>1,α≥2,u0非负,u0∈Lm+1(Ω),ρα/2#um0∈L∞(0,T;L2(Ω))... 结合Fichera-Oleinik理论,研究一类双重退化渗流方程ut=div(ρα#um),(x,t)∈QT=Ω×(0,T)的可解性问题.其中Ω是RN中的有界区域,边界Ω充分光滑,ρ(x)=dist(x,Ω),m>1,α≥2,u0非负,u0∈Lm+1(Ω),ρα/2#um0∈L∞(0,T;L2(Ω)).借助于一般粘性解的定义,给出了该渗流方程存在具有齐次边界条件的弱解的定义,并证明其存在性. 展开更多
关键词 双重退化 渗流方程 弱解 Fichera-Oleinik理论
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关于一类渗流方程解的性质
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作者 曹镇潮 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 1997年第3期331-334,共4页
对一类渗流方程的第二初-边值问题,证明只要在正初值(即使充分小)条件下,即有全局解不存在性结果。
关键词 渗流方程 局部解 爆破点集 全局解
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水平叶滤机的过滤理论及其主要性能参数的研究
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作者 张平亮 崔政伟 《过滤与分离》 CAS 1998年第3期15-18,共4页
介绍了水平叶滤机的过滤特性,建立了水平叶滤机在恒速下基本过滤方程式,提出了其主要性能参数计算式及其最佳化,为设计和选用提供了理论依据和计算方法。
关键词 水平叶滤机 过滤方程式 层滤范围 滤饼厚度差
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渗流方程反问题解的存在唯一性及稳定性
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作者 林丽容 潘佳庆 梁宗旗 《厦门理工学院学报》 2012年第4期50-54,共5页
讨论渗流方程反演未知系数的反问题.利用正则化方法证明常系数反问题解的存在唯一性及其关于初始条件和附加条件的稳定性,并利用变分迭代法证明变系数反问题解的存在性.
关键词 渗流方程 反问题 存在唯一性 稳定性
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Study on role of serum electrolyte combined with GFR evaluation equation in predicting the prognosis of severe obstructive renal injury
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作者 Yang Xiao-jie Li You-fang +2 位作者 Zhang Dong Wang Qian Zhang Peng 《Journal of Hainan Medical University》 2019年第17期60-65,共6页
Objective: To study the predictive value of serum electrolyte combined with glomerular filtration rate (GFR) evaluation equation for prognosis of severe obstructive renal injury. Methods: A total of 69 patients with c... Objective: To study the predictive value of serum electrolyte combined with glomerular filtration rate (GFR) evaluation equation for prognosis of severe obstructive renal injury. Methods: A total of 69 patients with calculous obstructive renal impairment admitted to our hospital from May 2017 to December 2018 were selected as the research objects. Clinical data of the patients were collected, and according to the status of renal function impairment, they were divided into 37 cases of mild to moderate, 32 cases of severe, and 40 cases of health examination in the same period as the control group. The fasting serum of the subjects was separated in the morning, and the serum electrolytes and related indicators were detected by Olympus AV640 automatic biochemical analyzer, Scr-CysC GFR evaluation equation was used to calculate the GFR score of all subjects, the levels of serum sodium, potassium and GFR scores in patients with severe obstructive renal injury with different prognostic outcomes were analyzed, subject operating characteristic curve (ROC) of prognostic indicators in patients with severe obstructive renal impairment was drawn, and the prognostic values of serum Na+, K+, GFR score and their combination in patients with severe obstructive renal damage were analyzed. Results: Compared with the control group, the levels of UmAb, CysC, Scr, BUN, TC, serum sodium and potassium in mild to moderate group and severe group increased in turn, and the GFR score decreased in turn (P < 0.05). The serum sodium and potassium concentrations increased in turn and the GFR score decreased in turn at 1 month after operation (P < 0.05). Compared with the 1 day before operation, the serum sodium and potassium concentrations in mild group and severe group decreased and the GFR score increased 1 month after operation (P < 0.05). Compared with the good prognosis group, the serum sodium and potassium levels in patients with severe obstructive renal damage in the poor prognosis group increased significantly, and the GFR score decreas 展开更多
关键词 Electrolyte Glomerular filtration rate EVALUATION equation RENAL damage PROGNOSIS Predictive value
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