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Examining the Use of Scott’s Formula and Link Expiration Time Metric for Vehicular Clustering
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作者 Fady Samann Shavan Askar 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第3期2421-2444,共24页
Implementing machine learning algorithms in the non-conducive environment of the vehicular network requires some adaptations due to the high computational complexity of these algorithms.K-clustering algorithms are sim... Implementing machine learning algorithms in the non-conducive environment of the vehicular network requires some adaptations due to the high computational complexity of these algorithms.K-clustering algorithms are simplistic,with fast performance and relative accuracy.However,their implementation depends on the initial selection of clusters number(K),the initial clusters’centers,and the clustering metric.This paper investigated using Scott’s histogram formula to estimate the K number and the Link Expiration Time(LET)as a clustering metric.Realistic traffic flows were considered for three maps,namely Highway,Traffic Light junction,and Roundabout junction,to study the effect of road layout on estimating the K number.A fast version of the PAM algorithm was used for clustering with a modification to reduce time complexity.The Affinity propagation algorithm sets the baseline for the estimated K number,and the Medoid Silhouette method is used to quantify the clustering.OMNET++,Veins,and SUMO were used to simulate the traffic,while the related algorithms were implemented in Python.The Scott’s formula estimation of the K number only matched the baseline when the road layout was simple.Moreover,the clustering algorithm required one iteration on average to converge when used with LET. 展开更多
关键词 CLUsTERING vehicular network scott’s formula FastPAM
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Euler’s First-Order Explicit Method–Peridynamic Differential Operator for Solving Population Balance Equations of the Crystallization Process
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作者 Chunlei Ruan Cengceng Dong +2 位作者 Kunfeng Liang Zhijun Liu Xinru Bao 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第3期3033-3049,共17页
Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridyna... Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridynamic differential operator(EE–PDDO)was obtained for solving the one-dimensional population balance equation in crystallization.Four different conditions during crystallization were studied:size-independent growth,sizedependent growth in a batch process,nucleation and size-independent growth,and nucleation and size-dependent growth in a continuous process.The high accuracy of the EE–PDDO method was confirmed by comparing it with the numerical results obtained using the second-order upwind and HR-van methods.The method is characterized by non-oscillation and high accuracy,especially in the discontinuous and sharp crystal size distribution.The stability of the EE–PDDO method,choice of weight function in the PDDO method,and optimal time step are also discussed. 展开更多
关键词 Population balance equation CRYsTALLIZATION peridynamic differential operator eulers first-order explicit method
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Huatan Qushi formula alleviates non-alcoholic fatty liver disease via PI3K/Akt signaling and gut microbiota modulation
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作者 Xiuping Zhang Linghui Zhu +7 位作者 Jinchen Ma Yi Zheng Xuejing Yang Lingling Yang Yang Dong Yan Zhang Baoxing Liu Lingru Li 《Journal of Traditional Chinese Medical Sciences》 CAS 2024年第4期443-455,共13页
Objective:To provide the mechanism-based pharmacotherapy of the Huatan Qushi formula(HTQS for-mula),for the health management and treatment of non-alcoholic fatty liver disease(NAFLD).Methods:A rat model of NAFLD was ... Objective:To provide the mechanism-based pharmacotherapy of the Huatan Qushi formula(HTQS for-mula),for the health management and treatment of non-alcoholic fatty liver disease(NAFLD).Methods:A rat model of NAFLD was employed to examine the efficacy and safety of the HTQS formula.In vivo active components and potential mechanisms of the HTQS formula were identified using UPLC‒MS/MS combined with network pharmacology.The influence of the HTQS formula on the dominating proteins in PI3K/Akt pathway was validated in vivo using western blot.Finally,16S rRNA sequencing of the gut microbiome was conducted followed by targeted metabolomics detecting fecal short-chain fatty acids(SCFAs)and bile acids to determine the impact of the HTQS formula on gut microbiota.Results:The HTQS formula reduced weight gain and hepatic steatosis in NAFLD rats and decreased serum total cholesterol(TC),triglycerides,blood glucose,and insulin resistance(IR)without causing liver or kidney injury.We detected 28 components using UPLC‒MS/MS and identified 439 shared targets be-tween NAFLD and the HTQS formula.Primarily,we focused on the PI3K/Akt signaling pathway based on protein‒protein interaction network analysis.We validated that the HTQS formula inhibited liver stea-tosis and inflammation by increasing the phosphorylation levels of PI3K,AKT,P27,GSK3b in the PI3K/Akt signaling pathway.16S rRNA sequencing revealed that the HTQS formula reduced the abundance of the genus Family_XIII_AD3011_group,which was positively correlated with IR and taurodeoxycholic acid.In addition,Lachnospiraceae_UCG_010 inversely correlated with TC and five bile acids,which could be essential to the therapeutic effect of the HTQS formula against NAFLD.Conclusions:The HTQS formula proved to be an effective pharmacotherapy for NAFLD without causing liver or kidney injury.Multiple potent components of the HTQS formula could alleviate liver steatosis and lipid metabolism disorder by modulating the PI3K/Akt signaling pathway and restoring gut microbiota composition. 展开更多
关键词 Non-alcoholic fatty liver disease Huatan Qushi formula Network pharmacology PI3K/Akt signaling pathway 16s rRNA sequencing Gut microbiota
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Euler Loading Formula of LargeDeflection and the Quick Solution for Large Deflection Equation of Beam and Column
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作者 黄平 王培荣 樊卫勇 《International Journal of Mining Science and Technology》 SCIE EI 1997年第1期83-86,共4页
This paper develops Euler ’loadlng formula of large deflection to be easy to measure in-situ and puts forward the differeuce quick iterative solution ror large deflection of beam and column, whick can solve the uon-l... This paper develops Euler ’loadlng formula of large deflection to be easy to measure in-situ and puts forward the differeuce quick iterative solution ror large deflection of beam and column, whick can solve the uon-linear equation like a kind of θ"+K(s)f(θ) =0. 展开更多
关键词 large DEFLECTION euler LOADING formula non-linear EQUATION interative sOLUTION
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Reciprocity Relation between Alternative Gravity Formulas
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作者 Hans Hermann Otto 《Journal of Applied Mathematics and Physics》 2024年第4期1432-1440,共9页
We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists betw... We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter. 展开更多
关键词 Gravity formulas Reciprocity Distance Relation NEWTON EINsTEIN Bhandari Higgs Field Dirac’s Large Number
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Fractional sum and fractional difference on non-uniform lattices and analogue of Euler and Cauchy Beta formulas
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作者 CHENG Jin-fa 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2021年第3期420-442,共23页
As is well known,the definitions of fractional sum and fractional difference of f(z)on non-uniform lattices x(z)=c1z^(2)+c2z+c3 or x(z)=c1q^(z)+c2q^(-z)+c3 are more difficult and complicated.In this article,for the fi... As is well known,the definitions of fractional sum and fractional difference of f(z)on non-uniform lattices x(z)=c1z^(2)+c2z+c3 or x(z)=c1q^(z)+c2q^(-z)+c3 are more difficult and complicated.In this article,for the first time we propose the definitions of the fractional sum and fractional difference on non-uniform lattices by two different ways.The analogue of Euler’s Beta formula,Cauchy’Beta formula on non-uniform lattices are established,and some fundamental theorems of fractional calculas,the solution of the generalized Abel equation on non-uniform lattices are obtained etc. 展开更多
关键词 difference equation of hypergeometric type non-uniform lattice fractional sum fractional difference special functions eulers Beta formula Cauchy’Beta formula
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基于Euler/N-S方程的跨音速非线性静气动弹性问题研究 被引量:2
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作者 郭承鹏 董军 +1 位作者 杨庆华 李俊甫 《航空计算技术》 2006年第6期40-44,共5页
在C-H网格的基础上,采用Jam eson的中心差分有限体积法求解Eu ler/N-S方程,采用结构影响系数法计算结构的弹性变形,用三角元面积加权法和常体积转换法(CVT)实现流固耦合。
关键词 有限体积法 euler/N—s方程 三角元面积加权法 柔度影响系数法 常体积转换法 流固耦合
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New Color-Difference Formula Based on CIECAM97s 被引量:1
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作者 宦晖 李为 赵达尊 《Journal of Beijing Institute of Technology》 EI CAS 2001年第2期149-152,共4页
To deduce a new color difference formula based on CIE 1997 Color Appearance Model(CIECAM97s), a color space J a 1 b 1 is first constructed with color appearance descriptors J,a,b in CIECAM97s. The new f... To deduce a new color difference formula based on CIE 1997 Color Appearance Model(CIECAM97s), a color space J a 1 b 1 is first constructed with color appearance descriptors J,a,b in CIECAM97s. The new formula is then deduced in the space and named CDF CIECAM97s. The factors for lightness, chroma and hue correction in the formula are derived by linear regression according to BFD? CP data sets. It is found by statistical analysis that CDF CIECAM97s is in closer accordance with the visual assessments when compared with CMC(1∶1), CIE94 and CIE L *a *b * color difference formulae. Based on color appearance model, the new color difference formula can be used to predict color difference perception in a varity of different viewing conditions. 展开更多
关键词 CIECAM97s color difference formulae color space
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基于Ackermann's formula的类反斜线回滞系统滑模控制 被引量:1
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作者 张达科 胡跃明 郭华芳 《机械工程学报》 EI CAS CSCD 北大核心 2005年第1期11-15,共5页
回滞现象广泛地存在于许多机械控制领域。由于回滞特性具有不可微性,从而使得对回滞系统的控制变得困难和复杂,同时由于回滞可能引起系统的振荡,甚至造成系统的不稳定,因此有必要对回滞系统的有效控制进行研究。考虑到回滞系统建模仍然... 回滞现象广泛地存在于许多机械控制领域。由于回滞特性具有不可微性,从而使得对回滞系统的控制变得困难和复杂,同时由于回滞可能引起系统的振荡,甚至造成系统的不稳定,因此有必要对回滞系统的有效控制进行研究。考虑到回滞系统建模仍然是个研究的领域,针对类反斜线回滞系统进行研究。把类反斜线回滞模型分解为确定的线性部分和已知上界的不确定非线性部分,利用Ackermann's formula给出了类反斜线回滞系统的滑模控制律。仿真表明此滑模控制律是有效的,同时此滑模控制保证了整个系统的稳定性。 展开更多
关键词 类反斜线回滞 滑模控制 Ackermann’s formula
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任意曲线坐标系Euler方程S2流面的计算方法 被引量:1
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作者 李得英 宋彦萍 +2 位作者 陈浮 郑振江 陈焕龙 《西安交通大学学报》 EI CAS CSCD 北大核心 2015年第7期42-48,共7页
为提高S2流面计算方法对涡轮复杂几何的适应性和计算能力,详细推导了任意正交曲线坐标系下应用于流道中心S2流面计算的Euler方程,提出了任意曲线坐标系Euler方程S2流面的计算方法,发展了适用于三阶精度总变差减小的差分格式的数学模型,... 为提高S2流面计算方法对涡轮复杂几何的适应性和计算能力,详细推导了任意正交曲线坐标系下应用于流道中心S2流面计算的Euler方程,提出了任意曲线坐标系Euler方程S2流面的计算方法,发展了适用于三阶精度总变差减小的差分格式的数学模型,结合了隐格式时间推进、Riemann问题求解等技术。在应用于带弧形凸起的流道及某直叶栅气动参数计算,并对某三级低压涡轮进行性能预测的结果表明:所提方法对激波具有较高的捕捉精度,能够较准确地获得叶栅气动参数分布,且与实验结果吻合良好;对于多级涡轮总性能参数和气动参数分布均有较高的计算精度,是一种可为涡轮设计提供快速、可靠的计算方法。 展开更多
关键词 s2流面计算方法 euler方程 任意正交曲线坐标系 总变差减小的差分格式 低压涡轮
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Stieltjes常数的弱有界及其衍生Euler常数的数学表示
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作者 向日光 《哈尔滨理工大学学报》 CAS 北大核心 2010年第3期73-76,共4页
为了探讨Euler常数γ的数学表示式,通过对Stieltjes常数γk=nl→im∞S(Nk)=∑Nn=1lnknn-1k+1lnk+1(N+1)(k=0,1,2,…)的一个弱有界进行了进一步的优化估计,然后从该估计出发,把Euler常数γ的一个数学表达式γ=limx→0+{∑∞n=11n1+x-1x}... 为了探讨Euler常数γ的数学表示式,通过对Stieltjes常数γk=nl→im∞S(Nk)=∑Nn=1lnknn-1k+1lnk+1(N+1)(k=0,1,2,…)的一个弱有界进行了进一步的优化估计,然后从该估计出发,把Euler常数γ的一个数学表达式γ=limx→0+{∑∞n=11n1+x-1x}的右边函数展成关于x的幂级数,并对其一致收敛性进行了详细地讨论.最后通过构造一个函数g(x)∑∞n=1(-1)n-1n1+x,(∞<1,x∈R)而得到Euler常数γ的一个新的数学表达式. 展开更多
关键词 stieltjes常数 euler常数 Ζ函数 sTIRLING公式
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(p,q)型Minkowski空间的双曲Euler公式与反向Schwarz不等式
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作者 李武明 许宁 《通化师范学院学报》 2010年第4期9-10,23,共3页
由Clifford代数Clp,q的生成空间Rp,q表述(p,q)型Minkowski空间,讨论(p,q)型Minkowski空间的性质.给出(p,q)型Minkowski空间Rn的双曲Euler公式;得到反向Schwarz不等式在Rn+中成立的一个充分必要条件及相关推论.
关键词 CLIFFORD代数 MINKOWsKI空间 双曲euler公式 反向schwarz不等式
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S4B-2 Bushen-Yizhi Formula Inhibits the NLRP3/NFκB Mediated Neuroinflammation and Improves the Motor Dysfunction in a Mouse Model of Parkinson’s Disease
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作者 王奇 《神经药理学报》 2018年第4期71-72,共2页
Objective:Parkinson’s disease(PD)is the second largest neurodegenerative disease following Alzheimer’s disease(AD),which associated with aging.There are many similarities in pathology and pathogenesis,even in the TC... Objective:Parkinson’s disease(PD)is the second largest neurodegenerative disease following Alzheimer’s disease(AD),which associated with aging.There are many similarities in pathology and pathogenesis,even in the TCM theory understanding,so we can learn from each other in the process of drug discovery.The clinical results showed that Bushen-Yizhi formula(BSYZ)could effectively improve the neurological function score of senile dementia patients and had a better anti-dementia effect.Further pharmacological studies showed that BSYZ had neuroprotective effects,such as anti-inflammatory,anti-oxidation,anti-apoptosis and neurotrophic effects.In this study,the therapeutic effect of BSYZ on PD was evaluated in vivo and in vivo,and its molecular mechanism was discussed in order to expand the scope of application of BSYZ and to provide strategies for drug discovery of related neurodegenerative diseases.Methods:C57 BL/6 mice were injected intraperitoneally with MPTP to construct a PD mouse model.BSYZ(1.46,2.92,5.84 mg·kg-1)was administered for two weeks,and the positive control group was given a NSAID,piroxicam(12.5 mg·kg-1).After 1 week of pretreatment,MPTP was used to construct a PD mouse model.The mice were subjected to Rotation test on days 1,3 and 5,6th day.and the movement coordination and exercise ability of the drug on PD mice were observed on theThe number of TH-positive cells,Iba1 and CD68-labeled microglial cells in SNpc region were observed by immunofluorescence to observe the proliferation and activation of microglial cells and GFAP-labeled astrocytes.Western blotting was used to detect the nuclear transfer of NLRP3,Caspase-1,ASC,pro-IL-1β,IL-1βand NF-κB in the midbrain.Results:1.BSYZ could significantly improve the expression of MPTP model mice in the experiment of fatigue and Y-maze,increase the number of neurons in SNpc region and the positive expression of TH protein.2.BSYZ significantly inhibited the number of Iba1/CD68-positive microglial cells in MPTP-model mice and decreased the number of GFAP-positive astrocytes.3.BSYZ significantly inhibited the expression of NLRP3-associated protein in BV2 microglial cells induced by LPS+ATP and inhibited the nuclear transfer of NF-κB.Conclusion:BSYZ can effectively relieve the motor dysfunction of PD model mice,improve the damage of dopaminergic neurons,inhibit the proliferation and activation of microglial cells and astrocytes,and have good anti-MPTPinduced neuroinflammation and neuroinflammation mediated by nuclear transfer of NF-κB.The results show that BSYZ has a good prospect of anti-Parkinson’s disease and provides valuable drug discovery strategies for the related neurodegenerative diseases. 展开更多
关键词 Parkinson’s disease Drug Discovery Bushen-Yizhi formula neuroinfl ammation
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改进Euler公式在电池SOC估计中的应用 被引量:3
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作者 赵小巍 张国煜 +2 位作者 蔡亦山 羌嘉曦 杨林 《电源技术》 CAS CSCD 北大核心 2014年第2期295-297,322,共4页
扩展卡尔曼滤波算法在估计电池荷电状态(SOC)时,往往利用显性Euler公式来描述电池模型的状态方程。显性Euler公式是一种单步计算方法,计算精度相对较低。因此,采用改进Euler公式代替显性Euler公式,并应用到卡尔曼滤波算法中。仿真结果表... 扩展卡尔曼滤波算法在估计电池荷电状态(SOC)时,往往利用显性Euler公式来描述电池模型的状态方程。显性Euler公式是一种单步计算方法,计算精度相对较低。因此,采用改进Euler公式代替显性Euler公式,并应用到卡尔曼滤波算法中。仿真结果表明,改进Euler公式能够提高电池模型的计算精度,从而大大提高SOC预测精度。 展开更多
关键词 扩展卡尔曼滤波 荷电状态 显性euler公式 改进euler公式
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关于Euler函数的Makowski猜想
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作者 乐茂华 《广西师范学院学报(自然科学版)》 2007年第4期34-35,共2页
对于正整数n,设φ(n)是n的Euler函数.该文证明了:如果φ(n+3)=φ(n)+2,则n=2pr或2pr-3,其中p是适合p≡3(mod 4)的素数,r是正整数.
关键词 euler函数 函数方程 必要条件
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Newton-Cotes公式的渐近展开及其应用
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作者 檀结庆 《大学数学》 2024年第5期35-42,共8页
给出了(n+1)-点Newton-Cotes公式的渐近展开,作为特例,得到了梯形求积公式和Simpson求积公式及其复化形式的渐近展开,分析了与Euler-Maclaurin展开的区别与联系,指出从复化Simpson求积公式出发,可得到数值积分的高阶Romberg算法.
关键词 Newton-Cotes公式 梯形求积公式 渐近展开 euler-Maclaurin展开
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Generalizations of Euler Numbers and Euler Numbers of Higher Order 被引量:5
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作者 LUOQiu-ming QIFeng 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第1期54-58,共5页
The purpose of this paper is to define the generalized Euler numbers and the generalized Euler numbers of higher order, their recursion formula and some properties were established, accordingly Euler numbers and Euler... The purpose of this paper is to define the generalized Euler numbers and the generalized Euler numbers of higher order, their recursion formula and some properties were established, accordingly Euler numbers and Euler numbers of higher order were extended. 展开更多
关键词 euler numbers higher order euler numbers generalized euler numbers generalized higher order euler numbers recursion formula
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Some Kind of Equations Involving Euler's Function 被引量:5
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作者 LI Yi-jun LI Yu-sheng 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期605-608,共4页
For any given positive integer n ≥ 1, the Euler function φ(n) is defined to be the number of positive integers not exceeding n which are relatively prime to n. w(n) is defined to be the number of different prime... For any given positive integer n ≥ 1, the Euler function φ(n) is defined to be the number of positive integers not exceeding n which are relatively prime to n. w(n) is defined to be the number of different prime divisors of n. Some kind of equations involving Euler's function is studied in the paper. 展开更多
关键词 euler's function EQUATION number of solutions
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Compound Formula Rehmannia alleviates levodopainduced dyskinesia in Parkinson's disease 被引量:9
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作者 Long Teng Fang Hong +2 位作者 Chenguang Zhang Jiancheng He Haiying Wang 《Neural Regeneration Research》 SCIE CAS CSCD 2014年第4期407-412,共6页
Compound Formula Rehmannia has been shown to be clinically effective in treating Parkinson's disease and levodopa-induced dyskinesia; however, the mechanisms remain unclear. In this study, we established a model of P... Compound Formula Rehmannia has been shown to be clinically effective in treating Parkinson's disease and levodopa-induced dyskinesia; however, the mechanisms remain unclear. In this study, we established a model of Parkinson's disease dyskinesia in rats, and treated these animals with Compound Formula Rehmannia. Compound Formula Rehmannia inhibited the increase in mRNA expression of N-methyl-D-aspartate receptor subunits 1 and 2 and excitatory amino acid neurotransmitter genes, and it inhibited the reduction in expression of γ-aminobutyric acid receptor B1, an inhibitory amino acid neurotransmitter gene, in the corpus striatum. In addition, Compound Formula Rehmannia alleviated dyskinesia symptoms in the Parkinson's disease rats. These experimental findings indicate that Compound Formula Rehmannia alleviates levodopa-induced dyskinesia in Parkinson's disease by modulating neurotransmitter signaling in the corpus striatum. 展开更多
关键词 nerve regeneration traditional Chinese medicine Parkinson's disease DYsKINEsIA excitato-ry amino acid inhibitory amino acid NEUROBEHAVIOR Compound formula Rehmannia NsFC grant neural regeneration
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Effects of compound rehmannia formula on dopamine transporter content in the corpus striatum of Parkinson's disease rats treated with levodopa 被引量:2
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作者 Ruijng Luo Jiancheng He 《Neural Regeneration Research》 SCIE CAS CSCD 2011年第12期898-902,共5页
Long-term application of levodopa (L-3, 4-dihydroxyphenylalanine, L-DOPA) for Parkinson's disease can lead to adverse effects and reduce the amount of dopamine transporter (DAT) in the corpus striatum. The presen... Long-term application of levodopa (L-3, 4-dihydroxyphenylalanine, L-DOPA) for Parkinson's disease can lead to adverse effects and reduce the amount of dopamine transporter (DAT) in the corpus striatum. The present study attempted to vedfy whether increasing the amount of DAT can reduce the adverse effects of L-DOPA. The specific radioactive uptake value of DAT in the corpus striatum of the lesioned hemisphere was significantly decreased, but was significantly increased following administration of compound rehmannia formula [Radix rehmanniae preparata (prepared rehmannia root), Concha margantifera usta (nacre), Radix paeoniae alba (white peony alba), Radix salviae miltiotThizae (Danshen root), Scorpio (scorpion), green tea] for 4 weeks. The changes in DAT 1251-beta-carbomethoxy-3 beta-(4-iodophenyl) tropane autoradiography were consistent with those in radioactivity. The results revealed that the compound rehmannia formula can reduce the adverse effects of L-DOPA in treating Parkinson's disease, possibly by increasing the amount of DAT. 展开更多
关键词 compound rehmannia formula Parkinson's disease LEVODOPA dopamine transporter AUTORADIOGRAPHY RADIOACTIVITY
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