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Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia
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作者 Miaomiao Gao Daqing Jiang Xiangdan Wen 《International Journal of Biomathematics》 SCIE 2021年第8期141-156,共16页
In this paper,we study the dynamical behavior of a stochastic two-compartment model of B-cell chronic lymphocytic leukemia,which is perturbed by white noise.Firstly,by constructing suitable Lyapunov functions,we estab... In this paper,we study the dynamical behavior of a stochastic two-compartment model of B-cell chronic lymphocytic leukemia,which is perturbed by white noise.Firstly,by constructing suitable Lyapunov functions,we establish sufficient conditions for the existence of a unique ergodic stationary distribution.Then,conditions for extinction of the disease are derived.Furthermore,numerical simulations are presented for supporting the theoretical results.Our results show that large noise intensity may contribute to extinction of the disease. 展开更多
关键词 Stochastic two-compartment model B-cell chronic lymphocytic leukemia stationary distribution EXTINCTION
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农药在环境中降解的数学表达模式 被引量:3
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作者 张大弟 张晓群 张晓红 《上海交通大学学报(农业科学版)》 1991年第1期12-20,共9页
作者根据近年农药环境毒理的研究结果向读者介绍在不同条件下农药在环境因素中降解的四个数学表达式。其中,得到广泛应用的是指数模式 C=C_0e^(-kt)。当前后期农药降解速度不同时可用 C=Ae^(-αt)+Be^(βt)的数学表达式。用一级吸收模式... 作者根据近年农药环境毒理的研究结果向读者介绍在不同条件下农药在环境因素中降解的四个数学表达式。其中,得到广泛应用的是指数模式 C=C_0e^(-kt)。当前后期农药降解速度不同时可用 C=Ae^(-αt)+Be^(βt)的数学表达式。用一级吸收模式 C=A(e^(-αt)-e^(-βt))可以表达具有吸收和降解双过程的农药动态变化。多次施药时可用(C_n) 展开更多
关键词 农药 降解 环境因素 双室降解模式 一级吸收模式
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在^(68)Ga EDTA 动态 PET分析中用正常区域取样和参数成像实现大脑肿瘤的统计分割研究(英文) 被引量:3
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作者 周云 黄嵩正 +1 位作者 包尚联 D.F.Wong 《中国医学物理学杂志》 CSCD 2002年第4期209-215,共7页
为了研究和评价用68GaEDTA动态PET研究和评价脑肿瘤定量分析的可靠性和灵敏度,我们在本文中提出了估计容积分布(distributionvolume:DV)和血脑屏障渗透率(k1)分布的线性参数成像模型。我们还用F统计学方法实现了把肿瘤从正常组织中分割... 为了研究和评价用68GaEDTA动态PET研究和评价脑肿瘤定量分析的可靠性和灵敏度,我们在本文中提出了估计容积分布(distributionvolume:DV)和血脑屏障渗透率(k1)分布的线性参数成像模型。我们还用F统计学方法实现了把肿瘤从正常组织中分割出来的方法。用一个三参数双腔室模型描述用PET测量的数据。用于估计DV(=K1/k2)和K1的主要计算公式为:Cpet=(K1+k2Vp)t0∫Cpds-k2t0∫Cpetds+VpCp和t0∫Cpetds=(DV+Vp)t0∫Cpds-(1/k2)Cpet+(Vp/k2)Cp,这里的k2是脑内通过血脑屏障到脑外的渗透率。在参数成像中我们采用了一个可靠和如棒的基于像素的局域线性回归算法用于产生DV和K1图像。同样基于像素自由度为2和k-2的F统计学方法采用的计算公式为:F=(((k-2)k/(2(k2-1)))D2,这里的D2=(x-μ)'S-1(x-μ),而μ和S分别表示脑肿瘤对侧正常区域内采集的样品的平均值和协方差,这些样品是按照二维空间狖(K1,DV)狚采集的,而常数k是取样的总数。在不同水平上阈值α,就可以得到不同置信度下的F统计图像。用这个方法对11个肿瘤病人进行了68GaEDTA动态PET研究。研究结果表明:所有的DV,K1和F图像的质量都很好。而且用于产生DV,K1和不同置信度下的F图像的算法效率很高,容易实现。本研究方法中研究和发展的方法提供了一个有效的集成多维生? 展开更多
关键词 大脑肿瘤 统计分割 ^68GaEDTA动态PET成像 线性参数成像算法 双腔室三参数模型
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Recalcitrant carbon controls the magnitude of soil organic matter mineralization in temperate forests of northern China
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作者 Huan Zhang Zhiyong Zhou 《Forest Ecosystems》 SCIE CSCD 2018年第3期211-220,共10页
Background: The large potential of the soil organic carbon(SOC) pool to sequester CO2from the atmosphere could greatly ameliorate the effect of future climate change. However, the quantity of carbon stored in terrestr... Background: The large potential of the soil organic carbon(SOC) pool to sequester CO2from the atmosphere could greatly ameliorate the effect of future climate change. However, the quantity of carbon stored in terrestrial soils largely depends upon the magnitude of SOC mineralization. SOC mineralization constitutes an important part of the carbon cycle, and is driven by many biophysical variables, such as temperature and moisture.Methods: Soil samples of a pine forest, an oak forest, and a pine and oak mixed forest were incubated for 387 days under conditions with six temperature settings(5 °C, 10 °C, 15 °C, 20 °C, 25 °C, 30 °C) and three levels of soil moisture content(SMC, 30%, 60%, 90%). The instantaneous rate of mineralized SOC was periodically and automatically measured using a Li-Cor CO2analyzer. Based on the measured amount of mineralized SOC,carbon fractions were estimated separately via first-order kinetic one-and two-compartment models.Results: During the 387 day incubation experiment, accumulative mineralized carbon ranged from 22.89 mg carbon(C) ·g-1SOC at 30 °C and 30% SMC for the mixed forest to 109.20 mg C·g-1SOC at 15 °C and 90% SMC for the oak forest. Mineralized recalcitrant carbon varied from 18.48 mg C·g-1SOC at 30 °C and 30% SMC for the mixed forest to 104.98 mg C·g-1SOC at 15 °C and 90% SMC for the oak forest, and contributed at least 80% to total mineralized carbon.Conclusions: Based on the results of this experiment, the soil organic matter of the pure broadleaved forest is more vulnerable to soil microbial degradation in northern China; most of the amount of the mineralized SOC derived from the recalcitrant carbon pool. Labile carbon fraction constitutes on average 0.4% of SOC across the three forest types and was rapidly digested by soil microbes in the early incubation stage. SOC mineralization markedly increased with soil moisture content, and correlated parabolically to temperature with the highest value at 15 °C. No significant interaction was detected among these variables in the present study. 展开更多
关键词 Carbon mineralization Soil carbon fraction Long time incubation two-compartment model Temperate forest
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基于卡尔曼滤波的荧光剂药代动力学层析优化
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作者 程楠 张丽敏 +4 位作者 赵志超 潘英雪 王欣 周仲兴 高峰 《光子学报》 EI CAS CSCD 北大核心 2021年第12期156-167,共12页
针对目前常用的扩展卡尔曼滤波技术由于舍弃了系统方程求导的高阶项,使得荧光剂药代动力学参数重建精度下降的缺点,研究发展了基于二室模型的二阶自适应扩展卡尔曼滤波技术并引入无迹卡尔曼滤波技术用于荧光剂药代动力学参数重建。通过... 针对目前常用的扩展卡尔曼滤波技术由于舍弃了系统方程求导的高阶项,使得荧光剂药代动力学参数重建精度下降的缺点,研究发展了基于二室模型的二阶自适应扩展卡尔曼滤波技术并引入无迹卡尔曼滤波技术用于荧光剂药代动力学参数重建。通过数值模拟和在体实验对基于一阶自适应扩展卡尔曼滤波、二阶自适应扩展卡尔曼滤波和无迹卡尔曼滤波的三种方法进行对比和评估,结果均表明,基于一阶和二阶自适应扩展卡尔曼滤波方法获取的荧光剂药代动力学参数重建结果相近,而基于无迹卡尔曼滤波方法获取的参数在量化度和对比度噪声比上均具有明显优势。该结果与无迹卡尔曼滤波由于没有忽略高阶项而具有更高精度相一致,证明了所提方法的可行性和有效性。 展开更多
关键词 光学成像 扩散荧光层析 荧光剂药代动力学层析 吲哚菁绿 二室模型 扩展卡尔曼滤波 无迹卡尔曼滤波
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Glyphosate Dissipation in Different Soils Under No-Till and Conventional Tillage 被引量:1
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作者 Elena OKADA JoséLuis COSTA Francisco BEDMAR 《Pedosphere》 SCIE CAS CSCD 2019年第6期773-783,共11页
Glyphosate is the most used herbicide in Argentina, accounting for 62% of the commercialized pesticides on the market. It is used as a weed controller in no-till systems, and it is also applied to various genetically ... Glyphosate is the most used herbicide in Argentina, accounting for 62% of the commercialized pesticides on the market. It is used as a weed controller in no-till systems, and it is also applied to various genetically modified crops ( e.g., soybean, corn, and cotton). Although it has a high solubility in water, it tends to adsorb and accumulate in agricultural soils. The main objectives of this work were to compare the dissipation of glyphosate and the accumulation of its metabolite aminomethylphosphonic acid (AMPA) over time in three soils from agricultural areas of Argentina under long-term management with no-till (NT) and conventional tillage (CT) practices. There were no differences in dissipation between NT and CT, indicating that the glyphosate-degrading microflora was not modified by the different tillage managements. Moreover, tillage practices did not alter the general soil properties;therefore, glyphosate bioavailability was not affected by NT or CT practice. Forty percent of the applied glyphosate was degraded within the first three days in all soils, indicating a fast initial dissipation rate. However, the dissipation rate considerably decreased over time, and the degradation kinetics followed a bi-exponential (or two-compartment) kinetic model. No differences were found between tillage practices. Dissipation was not related to the microbial activity measured as soil respiration. The fast decrease in the concentration of glyphosate at the beginning of the dissipation study was not reflected in an increase in the concentration of AMPA. The estimated half-lives for glyphosate ranged between 9 and 38 d. However, glyphosate bioavailability decreases over time, as it is strongly adsorbed to the soil matrix. This increases its residence time, which may lead to its accumulation in agricultural soils. 展开更多
关键词 Aminomethylphosphonic acid BIOAVAILABILITY Biodegradation HERBICIDE METABOLITE Pesticide two-compartment kinetic model
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Understanding the role of nano-TiO2 on the toxicity of Pb on C.dubia through modeling-Is it additive or synergistic? 被引量:1
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作者 Xuesong Liu Jianmin Wang Yue-Wern Huang 《Frontiers of Environmental Science & Engineering》 SCIE EI CSCD 2022年第5期57-67,共11页
Nano-TiO_(2) can remarkably increase lead(Pb)toxicity in aquatic organisms.However,the mechanism of this toxicity,additive or synergistic,is not well understood.To explore this mechanism,we inspected the role of nano-... Nano-TiO_(2) can remarkably increase lead(Pb)toxicity in aquatic organisms.However,the mechanism of this toxicity,additive or synergistic,is not well understood.To explore this mechanism,we inspected the role of nano-TiO_(2) in the toxicity of Pb on Ceriodaphnia dubia(C.dubia),a model water flea species typically used for ecotoxicity studies.The effect of algae,a diet for aquatic organisms,on the effect of this binary mixture was also investigated.A two-compartment toxicokinetic(TK)-toxicodynamic(TD)modeling approach was used to quantify the Pb toxicity under these complex conditions and to develop critical parameters for understanding the mechanism of toxicity.This twocompartment modeling approach adequately described the Pb accumulation in the gut and in the rest of the body tissue under different nano-TiO_(2) concentrations,with and without algae,and predicted the toxicity response of C.dubia.It indicated that increasing the nano-TiO_(2) concentration reduced the Pb tolerance level and concurrently increased the killing rate constant of C.dubia.Therefore,nano-TiO_(2) synergistically enhanced Pb toxicity.Algae remarkably reduced the toxicity of this binary mixture through reducing the Pb transfer rate to the body tissue and the killing rate,although it did not affect the Pb tolerance level.This two-compartment modeling approach is useful in understanding the role of nanoparticles when assessing the overall toxicity of nanoparticles and other toxic elements in the environment. 展开更多
关键词 Algae C.dubia Lead NANO-TIO2 Synergistic toxicity two-compartment toxicokinetic-toxicodynamic model
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Exploring the utility of the Chasing Principle:influence of drug-free SNEDDS composition on solubilization of carvedilol, cinnarizine and R3040 in aqueous suspension
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作者 Scheyla Daniela Siqueira J?rgensen Thomas Rades +2 位作者 Huiling Mu Kirsten Graeser Anette Müllertz 《Acta Pharmaceutica Sinica B》 SCIE CSCD 2019年第1期194-201,共8页
This study assessed the influence of the composition of drug-free SNEDDS co-dosed with aqueous suspensions of carvedilol(CAR), cinnarizine(CIN) or R3040 on drug solubilization in a twocompartment in vitro lipolysis mo... This study assessed the influence of the composition of drug-free SNEDDS co-dosed with aqueous suspensions of carvedilol(CAR), cinnarizine(CIN) or R3040 on drug solubilization in a twocompartment in vitro lipolysis model. Correlation of drug log P or solubility in SNEDDS with drug solubilization during in vitro lipolysis in the presence of drug-free SNEDDS was assessed. SNEDDS with varying ratios of soybean oil:Maisine 35-1(1:1, w/w) and Kolliphor RH40, with ethanol at 10%(w/w) were used. SNEDDS were named F65, F55 and F20(numbers refer to the percentage of lipids) and aqueous suspensions without drug-free SNEDDS(F0) were also analyzed. While the ranking order of drug solubilization was F65? F55? F204F0 for CAR; F65? F554F204F0 for CIN and F65? F55? F204F0 for R3040-with higher CAR solubilization than for R3040 and CIN-the ranking of S_(eq)of CAR, CIN and R3040 in SNEDDS was F65 o F55o F20, F65? F554F20 and F654F554F20, respectively. Therefore, the composition of SNEDDS influenced the solubilization of CIN, but not CAR and R3040. Furthermore, high S_(eq) in SNEDDS did not reflect high drug solubilization. As CAR(log P 3.8) showed higher solubilization than CIN(log P 5.8) and R3040(log P 10.4), a correlation between drug log P and drug solubilization was observed. 展开更多
关键词 Self-nanoemulsiying DRUG delivery system(SNEDDS) Chasing PRINCIPLE two-compartment in vitro LIPOLYSIS Rat gastrointestinal conditions DRUG SOLUBILIZATION
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