Let X (t)(t∈R^N) be a d-dimensional fractional Brownian motion. A contiunous function f:R^N→R^d is called a polar function of X(t)(t∈R^N) if P{ t∈R^N\{0},X(t)=t(t)}=0. In this paper, the characteristies of the cla...Let X (t)(t∈R^N) be a d-dimensional fractional Brownian motion. A contiunous function f:R^N→R^d is called a polar function of X(t)(t∈R^N) if P{ t∈R^N\{0},X(t)=t(t)}=0. In this paper, the characteristies of the class of polar functions are studied. Our theorem 1 improves the previous results of Graversen and Legall. Theorem2 solves a problem of Legall (1987) on Brownian motion.展开更多
Let B^H={B^H（t）,t∈R^N＋}be a real-valued（N,d）fractional Brownian sheet with Hurst index H=（H1,…,HN）.The characteristics of the polar functions for B^H are discussed.The relationship between the class of contin...Let B^H={B^H（t）,t∈R^N＋}be a real-valued（N,d）fractional Brownian sheet with Hurst index H=（H1,…,HN）.The characteristics of the polar functions for B^H are discussed.The relationship between the class of continuous functions satisfying Lipschitz condition and the class of polar-functions of B^H is obtained.The Hausdorff dimension about the fixed points and the inequality about the Kolmogorov’s entropy index for B^H are presented.Furthermore,it is proved that any two independent fractional Brownian sheets are nonintersecting in some conditions.A problem proposed by LeGall about the existence of no-polar continuous functions satisfying the Holder condition is also solved.展开更多
Background:Hydrogen bonding interaction was considered to play a critical role in controlling drug release from transdermal patch.However,the quantitative evaluation of hydrogen bonding strength between drug and polar...Background:Hydrogen bonding interaction was considered to play a critical role in controlling drug release from transdermal patch.However,the quantitative evaluation of hydrogen bonding strength between drug and polar functional group was rarely reported,and the relationship between hydrogen bonding strength and controlled release capacity of pressure sensitive adhesive(PSA)was not well understood.The present study shed light on this relationship.Methods:Acrylate PSAs with amide group were synthesized by a free radical-initiated solution polymerization.Six drugs,i.e.,etodolac,ketoprofen,gemfibrozil,zolmitriptan,propranolol and lidocaine,were selected as model drugs.In vitro drug release and skin permeation experiments and in vivo pharmacokinetic experiment were performed.Partial correlation analysis,fourier-transform infrared spectroscopy and molecular simulation were conducted to provide molecular details of drug-PSA interactions.Mechanical test,rheology study,and modulated differential scanning calorimetry study were performed to scrutinize the free volume and molecular mobility of PSAs.Results:Release rate of all six drugs from amide PSAs decreased with the increase of amide group concentrations;however,only zolmitriptan and propranolol showed decreased skin permeation rate.It was found that drug release was controlled by amide group through hydrogen bonding,and controlled release extent was positively correlated with hydrogen bonding strength.Conclusion:From these results,we concluded that drugs with strong hydrogen bond forming ability and high skin permeation were suitable to use amide PSAs to regulate their release rate from patch.展开更多
Let B^H,K ： （B^H,K（t）, t ∈R＋^N} be an （N,d）-bifractional Brownian sheet with Hurst indices H = （H1,..., HN） ∈ （0, 1）^N and K = （K1,..., KN）∈ （0, 1]^N. The characteristics of the polar functions for B^...Let B^H,K ： （B^H,K（t）, t ∈R＋^N} be an （N,d）-bifractional Brownian sheet with Hurst indices H = （H1,..., HN） ∈ （0, 1）^N and K = （K1,..., KN）∈ （0, 1]^N. The characteristics of the polar functions for B^H,K are investigated. The relationship between the class of continuous functions satisfying the Lipschitz condition and the class of polar-functions of B^H,K is presented. The Hausdorff dimension of the fixed points and an inequality concerning the Kolmogorov＇s entropy index for B^H,K are obtained. A question proposed by LeGall about the existence of no-polar, continuous functions statisfying the Holder condition is also solved.展开更多
Let {us （x） ： s 〉 0, x ∈ JR} be a random string taking values in ]Rd. The main goal of this paper is to discuss the characteristics of the polar functions of {us （x） ： s ≥ 0, x ∈ JR}. The relationship betwee...Let {us （x） ： s 〉 0, x ∈ JR} be a random string taking values in ]Rd. The main goal of this paper is to discuss the characteristics of the polar functions of {us （x） ： s ≥ 0, x ∈ JR}. The relationship between a class of continuous functions satisfying the HSlder condition and a class of polar-functions of {us（x） ： s 〉 0, x ∈ R} is presented. The Hausdorff and packing dimensions of the set that the string intersects a given non-polar continuous function are determined. The upper and lower bounds are obtained for the probability that the string intersects a given function in terms of respectively Hausdorff measure and capacity.展开更多
In the past two decades, extensive studies have focused on a group of so-called polarity proteins that play conserved and essential functions in establishing and maintaining cell polarity in epithelial cells. Among th...In the past two decades, extensive studies have focused on a group of so-called polarity proteins that play conserved and essential functions in establishing and maintaining cell polarity in epithelial cells. Among them, Crumbs （Crb） is the only trans- membrane polarity protein characterized to date （Tepass et al.,展开更多
目的探讨益气活血化浊解毒方调控KAT3B/STING轴介导的小胶质细胞极化对缺血性脑卒中大鼠神经功能的影响。方法复制缺血性脑卒中大鼠模型。将复制成功的60只大鼠分为缺血性脑卒中组、益气活血化浊解毒方低剂量组(低剂量组)、益气活血化...目的探讨益气活血化浊解毒方调控KAT3B/STING轴介导的小胶质细胞极化对缺血性脑卒中大鼠神经功能的影响。方法复制缺血性脑卒中大鼠模型。将复制成功的60只大鼠分为缺血性脑卒中组、益气活血化浊解毒方低剂量组(低剂量组)、益气活血化浊解毒方高剂量组(高剂量组)、益气活血化浊解毒方高剂量+2,5-己酮可可碱(DMXAA)组(高剂量+DMXAA组),每组15只。另取15只正常大鼠为Sham组。低剂量组大鼠灌胃0.2 mL 27.5 g/mL的益气活血化浊解毒方药液,高剂量组大鼠灌胃0.2 mL 55.0 g/mL的益气活血化浊解毒方药液,高剂量+DMXAA组大鼠灌胃0.2 mL 55.0 g/mL的益气活血化浊解毒方药液和25 mg/kg的DMXAA,Sham组和缺血性脑卒中组给予等体积生理盐水代替药物;除高剂量+DMXAA组外,其余组大鼠再给予等体积二甲基亚砜溶液灌胃,1 d/次,连续4周。Zea-Longa评分和网屏试验评分评估大鼠神经功能和神经行为学;检测大鼠脑组织含水量;TTC染色法检测大鼠脑梗死面积;酶联免疫吸附试验检测大鼠血清LDH和NGF水平和缺血侧皮层组织TNF-α、IL-6、IL-10水平;HE染色观察大鼠缺血侧皮层组织病理变化;Western blotting检测大鼠缺血侧皮层组织iNOS、Iba1、CD68、CD40、CD206、Arg-1、Cleaved caspase-3、KAT3B、STING蛋白表达。结果缺血性脑卒中组大鼠Zea-Longa评分和网屏试验评分、脑组织含水量、脑梗死面积百分比均高于Sham组(P<0.05),低剂量组和高剂量组大鼠Zea-Longa评分和网屏试验评分、脑组织含水量、脑梗死面积百分比均低于缺血性脑卒中组(P<0.05),高剂量+DMXAA组大鼠Zea-Longa评分和网屏试验评分、脑组织含水量、脑梗死面积百分比均高于高剂量组(P<0.05)。缺血性脑卒中组大鼠NGF和IL-10水平低于Sham组,LDH、TNF-α和IL-6水平高于Sham组(P<0.05);低剂量组和高剂量组大鼠NGF和IL-10水平高于缺血性脑卒中组,LDH、TNF-α和IL-6水平低于缺血性脑卒中组(P<0.05);高剂量+DMXAA组大鼠NGF和IL-10水平低于高剂量组,LDH、TNF-α和IL-6高于高剂量组(P<0.05)。与缺血性脑卒中组比较,低剂量组和高剂量组缺血侧皮层神经元形态有明显改善。缺血性脑卒中组大鼠缺血侧皮层组织中iNOS、Iba1、CD68和CD40蛋白相对表达量比Sham组高,CD206和Arg-1蛋白相对表达量比Sham组低(P<0.05);低剂量组和高剂量组大鼠缺血侧皮层组织中iNOS、Iba1、CD68和CD40蛋白相对表达量比缺血性脑卒中组低,CD206和Arg-1蛋白相对表达量比缺血性脑卒中组高(P<0.05);高剂量+DMXAA组大鼠缺血侧皮层组织中iNOS、Iba1、CD68和CD40蛋白相对表达量比高剂量组高,CD206和Arg-1蛋白相对表达量比高剂量组低(P<0.05)。结论益气活血化浊解毒方可调节缺血性脑卒中大鼠小胶质细胞极化,减轻神经炎症和神经损伤,改善神经功能,可能与抑制KAT3B/STING轴有关。展开更多
针对串行抵消列表(Successive Cancellation List,SCL)译码框架下基于搜索集的路径分裂选择策略的缺陷,提出两种改进策略:基于可靠性函数的路径分裂策略和依靠辅助路径度量值(Auxiliary Path Metric,APM)的剪枝策略。在此基础上,提出一...针对串行抵消列表(Successive Cancellation List,SCL)译码框架下基于搜索集的路径分裂选择策略的缺陷,提出两种改进策略:基于可靠性函数的路径分裂策略和依靠辅助路径度量值(Auxiliary Path Metric,APM)的剪枝策略。在此基础上,提出一种新的译码算法——基于可靠性函数的路径分裂选择策略辅助串行抵消列表(Path Splitting Selecting Strategy Based on Reliability Function under the Successive Cancellation List,PSS-RF-SCL)译码算法。该算法在译码阶段,每个信息比特在进行路径分裂前,会计算所有路径的路径度量(Path Metric,PM)值。利用这些PM值,进一步计算该比特的可靠性函数值。算法将可靠性函数值低于其平均值(即阈值α)的信息比特视为需要进行路径分裂的比特,从而减少了多余的路径分裂次数。此外,算法计算每条路径的APM值,并将APM值高于正确译码路径的APM平均值(即阈值β)的路径视为不可靠路径,对不可靠路径进行剪枝,有效控制了译码列表总数。仿真结果表明,相较于传统的基于搜索集的路径分裂策略辅助的SCL译码算法,所提出的PSS-RF-SCL译码算法在保持相同译码性能的前提条件下,显著降低了译码复杂度。展开更多
Polar set of Markov processes is an important concept in probabilistic potential theory,but it is not easy to judge the polarity of the sets.In this paper,we give some results which can be easily used to examine the p...Polar set of Markov processes is an important concept in probabilistic potential theory,but it is not easy to judge the polarity of the sets.In this paper,we give some results which can be easily used to examine the polarity of the sets whenX t belongs to a special class of Levy processes.We also give a result about polar functions of symmetric stable processes.展开更多
为了更好地表征物体表面辐射偏振特性,以P-G模型为基础,针对物体表面微面元分布情况,建立了一种基于柯西分布的二分量偏振双向反射分布函数(Polarization Bidirectional Reflection Distribution Function,PBRDF)模型。基于红外偏振辐...为了更好地表征物体表面辐射偏振特性,以P-G模型为基础,针对物体表面微面元分布情况,建立了一种基于柯西分布的二分量偏振双向反射分布函数(Polarization Bidirectional Reflection Distribution Function,PBRDF)模型。基于红外偏振辐射传输特性,采用黑体辐射定律推导出红外辐射线偏振度模型,并通过设计红外偏振成像实验对该模型进行检验。将实测数据与数值计算结果进行对比,分析引入柯西分布后的红外线偏振度模型相较于高斯分布对精度的影响。结果表明,采用柯西分布表征的微面元模型在描述物体表面的红外线偏振度时具有更好的适用性。研究结果为双向反射分布函数(Bidirectional Reflection Distribution Function,BRDF)模型精度的进一步优化提供了理论支撑与技术支持。展开更多
研究旨在通过仿真实验揭示红外偏振成像系统在浮空器平台海雾背景下的探测优势。首先,基于偏振双向反射分布函数,分析了偏振特性随观测角度变化的规律,研究结果表明红外偏振在浮空器斜视成像中的适用性。其次,借助蒙特卡罗方法和最小可...研究旨在通过仿真实验揭示红外偏振成像系统在浮空器平台海雾背景下的探测优势。首先,基于偏振双向反射分布函数,分析了偏振特性随观测角度变化的规律,研究结果表明红外偏振在浮空器斜视成像中的适用性。其次,借助蒙特卡罗方法和最小可分辨温差(Minimum Resolvable Temperature Difference,MRTD)模型,构建了红外偏振成像系统的最大作用距离模型,从而验证了红外偏振成像相较于红外强度成像在海雾背景下特征保持和探测距离上存在优势。为红外偏振技术在浮空器平台上的部署应用,提供了理论分析和仿真依据。展开更多
文摘Let X (t)(t∈R^N) be a d-dimensional fractional Brownian motion. A contiunous function f:R^N→R^d is called a polar function of X(t)(t∈R^N) if P{ t∈R^N\{0},X(t)=t(t)}=0. In this paper, the characteristies of the class of polar functions are studied. Our theorem 1 improves the previous results of Graversen and Legall. Theorem2 solves a problem of Legall (1987) on Brownian motion.
基金the Key Research Base for Humanities and Social Sciences of Zhejiang Provincial High Education Talents(Statistics of Zhejiang Gongshang University)the Natural ScienceFoundation of Shaanxi Province(2005A08,2006A14)
文摘Let B^H={B^H（t）,t∈R^N＋}be a real-valued（N,d）fractional Brownian sheet with Hurst index H=（H1,…,HN）.The characteristics of the polar functions for B^H are discussed.The relationship between the class of continuous functions satisfying Lipschitz condition and the class of polar-functions of B^H is obtained.The Hausdorff dimension about the fixed points and the inequality about the Kolmogorov’s entropy index for B^H are presented.Furthermore,it is proved that any two independent fractional Brownian sheets are nonintersecting in some conditions.A problem proposed by LeGall about the existence of no-polar continuous functions satisfying the Holder condition is also solved.
基金supported by the National Natural Science Foundation of China(81773665)Natural Science Foundation of Liaoning Province(20170540861,China)
文摘Background:Hydrogen bonding interaction was considered to play a critical role in controlling drug release from transdermal patch.However,the quantitative evaluation of hydrogen bonding strength between drug and polar functional group was rarely reported,and the relationship between hydrogen bonding strength and controlled release capacity of pressure sensitive adhesive(PSA)was not well understood.The present study shed light on this relationship.Methods:Acrylate PSAs with amide group were synthesized by a free radical-initiated solution polymerization.Six drugs,i.e.,etodolac,ketoprofen,gemfibrozil,zolmitriptan,propranolol and lidocaine,were selected as model drugs.In vitro drug release and skin permeation experiments and in vivo pharmacokinetic experiment were performed.Partial correlation analysis,fourier-transform infrared spectroscopy and molecular simulation were conducted to provide molecular details of drug-PSA interactions.Mechanical test,rheology study,and modulated differential scanning calorimetry study were performed to scrutinize the free volume and molecular mobility of PSAs.Results:Release rate of all six drugs from amide PSAs decreased with the increase of amide group concentrations;however,only zolmitriptan and propranolol showed decreased skin permeation rate.It was found that drug release was controlled by amide group through hydrogen bonding,and controlled release extent was positively correlated with hydrogen bonding strength.Conclusion:From these results,we concluded that drugs with strong hydrogen bond forming ability and high skin permeation were suitable to use amide PSAs to regulate their release rate from patch.
基金Supported by the National Natural Science Foundation of China(No.70471071)the Key Research Base for Humanities and Social Sciences of Zhejiang Provincial High Education Talents(Statistics of Zhejiang Gongshang University).
文摘Let B^H,K ： （B^H,K（t）, t ∈R＋^N} be an （N,d）-bifractional Brownian sheet with Hurst indices H = （H1,..., HN） ∈ （0, 1）^N and K = （K1,..., KN）∈ （0, 1]^N. The characteristics of the polar functions for B^H,K are investigated. The relationship between the class of continuous functions satisfying the Lipschitz condition and the class of polar-functions of B^H,K is presented. The Hausdorff dimension of the fixed points and an inequality concerning the Kolmogorov＇s entropy index for B^H,K are obtained. A question proposed by LeGall about the existence of no-polar, continuous functions statisfying the Holder condition is also solved.
基金Supported by Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100663)
文摘Let {us （x） ： s 〉 0, x ∈ JR} be a random string taking values in ]Rd. The main goal of this paper is to discuss the characteristics of the polar functions of {us （x） ： s ≥ 0, x ∈ JR}. The relationship between a class of continuous functions satisfying the HSlder condition and a class of polar-functions of {us（x） ： s 〉 0, x ∈ R} is presented. The Hausdorff and packing dimensions of the set that the string intersects a given non-polar continuous function are determined. The upper and lower bounds are obtained for the probability that the string intersects a given function in terms of respectively Hausdorff measure and capacity.
基金supported by the grants from the National Institutes of Health of USA(NCRR R21RR024869, NIGMS RO1GM086423 and RO1GM121534 to Y.H.)the Start-up Foundation from Nanjing Medical University (2012RC04 to J.H.)University of Pittsburgh Medical School Center for Biologic Imaging was supported by the grant 1S100D019973-01 from NIH, USA
文摘In the past two decades, extensive studies have focused on a group of so-called polarity proteins that play conserved and essential functions in establishing and maintaining cell polarity in epithelial cells. Among them, Crumbs （Crb） is the only trans- membrane polarity protein characterized to date （Tepass et al.,
文摘目的探讨益气活血化浊解毒方调控KAT3B/STING轴介导的小胶质细胞极化对缺血性脑卒中大鼠神经功能的影响。方法复制缺血性脑卒中大鼠模型。将复制成功的60只大鼠分为缺血性脑卒中组、益气活血化浊解毒方低剂量组(低剂量组)、益气活血化浊解毒方高剂量组(高剂量组)、益气活血化浊解毒方高剂量+2,5-己酮可可碱(DMXAA)组(高剂量+DMXAA组),每组15只。另取15只正常大鼠为Sham组。低剂量组大鼠灌胃0.2 mL 27.5 g/mL的益气活血化浊解毒方药液,高剂量组大鼠灌胃0.2 mL 55.0 g/mL的益气活血化浊解毒方药液,高剂量+DMXAA组大鼠灌胃0.2 mL 55.0 g/mL的益气活血化浊解毒方药液和25 mg/kg的DMXAA,Sham组和缺血性脑卒中组给予等体积生理盐水代替药物;除高剂量+DMXAA组外,其余组大鼠再给予等体积二甲基亚砜溶液灌胃,1 d/次,连续4周。Zea-Longa评分和网屏试验评分评估大鼠神经功能和神经行为学;检测大鼠脑组织含水量;TTC染色法检测大鼠脑梗死面积;酶联免疫吸附试验检测大鼠血清LDH和NGF水平和缺血侧皮层组织TNF-α、IL-6、IL-10水平;HE染色观察大鼠缺血侧皮层组织病理变化;Western blotting检测大鼠缺血侧皮层组织iNOS、Iba1、CD68、CD40、CD206、Arg-1、Cleaved caspase-3、KAT3B、STING蛋白表达。结果缺血性脑卒中组大鼠Zea-Longa评分和网屏试验评分、脑组织含水量、脑梗死面积百分比均高于Sham组(P<0.05),低剂量组和高剂量组大鼠Zea-Longa评分和网屏试验评分、脑组织含水量、脑梗死面积百分比均低于缺血性脑卒中组(P<0.05),高剂量+DMXAA组大鼠Zea-Longa评分和网屏试验评分、脑组织含水量、脑梗死面积百分比均高于高剂量组(P<0.05)。缺血性脑卒中组大鼠NGF和IL-10水平低于Sham组,LDH、TNF-α和IL-6水平高于Sham组(P<0.05);低剂量组和高剂量组大鼠NGF和IL-10水平高于缺血性脑卒中组,LDH、TNF-α和IL-6水平低于缺血性脑卒中组(P<0.05);高剂量+DMXAA组大鼠NGF和IL-10水平低于高剂量组,LDH、TNF-α和IL-6高于高剂量组(P<0.05)。与缺血性脑卒中组比较,低剂量组和高剂量组缺血侧皮层神经元形态有明显改善。缺血性脑卒中组大鼠缺血侧皮层组织中iNOS、Iba1、CD68和CD40蛋白相对表达量比Sham组高,CD206和Arg-1蛋白相对表达量比Sham组低(P<0.05);低剂量组和高剂量组大鼠缺血侧皮层组织中iNOS、Iba1、CD68和CD40蛋白相对表达量比缺血性脑卒中组低,CD206和Arg-1蛋白相对表达量比缺血性脑卒中组高(P<0.05);高剂量+DMXAA组大鼠缺血侧皮层组织中iNOS、Iba1、CD68和CD40蛋白相对表达量比高剂量组高,CD206和Arg-1蛋白相对表达量比高剂量组低(P<0.05)。结论益气活血化浊解毒方可调节缺血性脑卒中大鼠小胶质细胞极化,减轻神经炎症和神经损伤,改善神经功能,可能与抑制KAT3B/STING轴有关。
文摘针对串行抵消列表(Successive Cancellation List,SCL)译码框架下基于搜索集的路径分裂选择策略的缺陷,提出两种改进策略:基于可靠性函数的路径分裂策略和依靠辅助路径度量值(Auxiliary Path Metric,APM)的剪枝策略。在此基础上,提出一种新的译码算法——基于可靠性函数的路径分裂选择策略辅助串行抵消列表(Path Splitting Selecting Strategy Based on Reliability Function under the Successive Cancellation List,PSS-RF-SCL)译码算法。该算法在译码阶段,每个信息比特在进行路径分裂前,会计算所有路径的路径度量(Path Metric,PM)值。利用这些PM值,进一步计算该比特的可靠性函数值。算法将可靠性函数值低于其平均值(即阈值α)的信息比特视为需要进行路径分裂的比特,从而减少了多余的路径分裂次数。此外,算法计算每条路径的APM值,并将APM值高于正确译码路径的APM平均值(即阈值β)的路径视为不可靠路径,对不可靠路径进行剪枝,有效控制了译码列表总数。仿真结果表明,相较于传统的基于搜索集的路径分裂策略辅助的SCL译码算法,所提出的PSS-RF-SCL译码算法在保持相同译码性能的前提条件下,显著降低了译码复杂度。
文摘Polar set of Markov processes is an important concept in probabilistic potential theory,but it is not easy to judge the polarity of the sets.In this paper,we give some results which can be easily used to examine the polarity of the sets whenX t belongs to a special class of Levy processes.We also give a result about polar functions of symmetric stable processes.
文摘为了更好地表征物体表面辐射偏振特性,以P-G模型为基础,针对物体表面微面元分布情况,建立了一种基于柯西分布的二分量偏振双向反射分布函数(Polarization Bidirectional Reflection Distribution Function,PBRDF)模型。基于红外偏振辐射传输特性,采用黑体辐射定律推导出红外辐射线偏振度模型,并通过设计红外偏振成像实验对该模型进行检验。将实测数据与数值计算结果进行对比,分析引入柯西分布后的红外线偏振度模型相较于高斯分布对精度的影响。结果表明,采用柯西分布表征的微面元模型在描述物体表面的红外线偏振度时具有更好的适用性。研究结果为双向反射分布函数(Bidirectional Reflection Distribution Function,BRDF)模型精度的进一步优化提供了理论支撑与技术支持。
文摘研究旨在通过仿真实验揭示红外偏振成像系统在浮空器平台海雾背景下的探测优势。首先,基于偏振双向反射分布函数,分析了偏振特性随观测角度变化的规律,研究结果表明红外偏振在浮空器斜视成像中的适用性。其次,借助蒙特卡罗方法和最小可分辨温差(Minimum Resolvable Temperature Difference,MRTD)模型,构建了红外偏振成像系统的最大作用距离模型,从而验证了红外偏振成像相较于红外强度成像在海雾背景下特征保持和探测距离上存在优势。为红外偏振技术在浮空器平台上的部署应用,提供了理论分析和仿真依据。
