scholarly journals Dose Correlation of Panax ginseng and Atractylodes macrocephala Koidz. Drug Pairs in the Chinese Medicine Prescription Based on the Copula Function

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Wei Lin ◽  
Mingyue Zheng ◽  
Yunhui Chen ◽  
Qian He ◽  
Adeel Khoja ◽  
...  
Keyword(s):  
Chinese Medicine ◽  
Panax Ginseng ◽  
Empirical Distribution ◽  
Rank Correlation ◽  
Correlation Coefficients ◽  
Copula Function ◽  
Drug Pair ◽  
Atractylodes Macrocephala Koidz ◽  
T Copula ◽  
Atractylodes Macrocephala

Objective. Panax ginseng and Atractylodes macrocephala Koidz. (AMK) are widely used in treating various diseases; however, research is insufficient on measuring the relationship that exists by combining this drug pair using the copula function. Methods. In this study, 279 traditional Chinese medicine prescriptions containing the Panax ginseng and AMK drug pair were extracted from the prescription database for three types of screened indications, namely, diabetes mellitus, diarrhea, and insomnia. Following the principle of dose conversion, each dynasty unit was uniformly converted into a modern unit. Then, the kernel density distribution of Panax ginseng and AMK was fitted with their empirical distribution functions. Finally, the optimal copula function was selected from the copula function family as a t-copula function. Results. The empirical distribution and probability density functions of Panax ginseng and AMK were obtained. From the results, their Kendall rank correlation coefficients with indications of diabetes mellitus, insomnia, and diarrhea were 0.8689, 0.7858, and 0.7403, whereas their Spearman rank correlation coefficients were 0.9563, 0.9276, and 0.8958. Results also indicated that the use of the t-copula function can better reflect the correlation between Panax ginseng and AMK doses. Conclusion. From the three indications, the dose between Panax ginseng and AMK was positively correlated. This study, therefore, confirms the medicinal principle of Chinese medicine “combining” from the perspective of mathematical statistics. Results from this study are practical to evaluate the correlation between the drug pair doses, Panax ginseng and AMK, using the copula function model, which provides a new model for the scientific explanation of compatibility for Chinese medicines. This study also provides a methodological basis for more drug measurement studies and clinical medications.

scholarly journals Dose Correlation of Danggui and Chuanxiong Drug Pairs in the Chinese Medicine Prescription Based on the Copula Function

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Xuan Zhao ◽  
Wei Lin ◽  
Jiawei Li ◽  
Yunhui Chen ◽  
Anamica Patel ◽  
...  
Keyword(s):  
Chinese Medicine ◽  
Traditional Chinese Medicine ◽  
Correlation Coefficient ◽  
Rank Correlation ◽  
Correlation Coefficients ◽  
Copula Function ◽  
Prescription Database ◽  
Irregular Menstruation ◽  
Spearman’S Rank Correlation ◽  
Spearman’S Rank Correlation Coefficient

Dosage is essential for studying the compatibility and effectiveness of traditional Chinese medicine. Danggui and Chuanxiong are widely used in traditional Chinese medicine for ailments and treatment of various disorders. 628 traditional Chinese medicine prescriptions containing Danggui and Chuanxiong were extracted from the self-built prescription database and screened for the three groups of prescriptions, i.e., irregular menstruation, sores, and stroke. We processed and tested the dosage of Danggui and Chuanxiong and selected the optimal copula function, Gumbel copula function, from the Archimedes function family and elliptical copula function family to establish the data model. To establish the presence of a correlation between the dose of Danggui and Chuanxiong, a graph of the joint distribution function of rank correlation coefficients, Kendall’s rank correlation coefficient and Spearman’s rank correlation coefficient, was used. Our results suggest that the model using the Gumbel copula function better reflects the correlation between the dose of Danggui and Chuanxiong. For irregular menstruation, sores, and strokes, Kendall’s rank correlation coefficients were 0.6724, 0.5930, and 0.7757, respectively, and Spearman’s correlation coefficients were 0.8536, 0.7812, and 0.9285, respectively. In all three prescription groups, the dose of Danggui and Chuanxiong was positively correlated, implying that, as the dosage of one drug increases, the dosage of the other increases as well. From the perspective of data mining and mathematical statistics, the use of the copula function model to evaluate the correlation between the prescribed dosage of the two drugs was innovative and provided a new model for the scientific interpretation of the compatibility of traditional drugs. This might also serve to guide the clinical use of traditional Chinese medicine.

Impact of Wind Speed Correlation on Transient Stability of Power System

2013 ◽  
Vol 448-453 ◽  
pp. 2301-2304
Author(s):  
Long Zhang ◽  
Jia Dong Huang ◽  
Xian Xin Xu ◽  
Xiong Pan
Keyword(s):  
Wind Speed ◽  
Correlation Matrix ◽  
Wind Farm ◽  
Transient Stability ◽  
Geographical Location ◽  
Rank Correlation ◽  
Copula Function ◽  
Wind Speeds ◽  
T Copula

Wind speeds of different wind turbines in a big wind farm always have correlations because of their close geographical location. This paper builds wind speed model by t-copula function and uses rank correlation matrix to measure the correlation of wind speeds. The case study of IEEE-39 bus system and Yunnan Power Grid shows that wind speed correlation has certain effect on the transient stability of power system.Taking wind speed correlation into consideration makes the analysis of systems transient stability more close to reality.

scholarly journals A Preliminary Study on Dependence of Mercury Distribution on the Degree of Coalification in Ningwu Coalfield, Shanxi, China

Energies ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 3119
Author(s):  
Yinjiao Su ◽  
Xuan Liu ◽  
Yang Teng ◽  
Kai Zhang
Keyword(s):  
Linear Correlation ◽  
Bituminous Coal ◽  
Rank Correlation ◽  
Correlation Coefficients ◽  
Chemical Extraction ◽  
Mercury Distribution ◽  
Sequential Chemical Extraction ◽  
Average Proportion ◽  
Total Proportion ◽  
The Relationship

Mercury (Hg) is a toxic trace element emitted from coal conversion and utilization. Samples with different coal ranks and gangue from Ningwu Coalfield are selected and investigated in this study. For understanding dependence of mercury distribution characteristics on coalification degree, Pearson regression analysis coupled with Spearman rank correlation is employed to explore the relationship between mercury and sulfur, mercury and ash in coal, and sequential chemical extraction method is adopted to recognize the Hg speciation in the samples of coal and gangue. The measured results show that Hg is positively related to total sulfur content in coal and the affinity of Hg to different sulfur forms varies with the coalification degree. Organic sulfur has the biggest impact on Hg in peat, which becomes weak with increasing the coalification degree from lignite to bituminous coal. Sulfate sulfur is only related to Hg in peat or lignite as little content in coal. However, the Pearson linear correlation coefficients of Hg and pyritic sulfur are relatively high with 0.479 for lignite, 0.709 for sub-bituminous coal and 0.887 for bituminous coal. Hg is also related to ash content in coal, whose Pearson linear correlation coefficients are 0.504, 0.774 and 0.827 respectively, in lignite, sub-bituminous coal and bituminous coal. Furthermore, Hg distribution is directly depended on own speciation in coal. The total proportion of F2 + F3 + F4 is increased from 41.5% in peat to 87.4% in bituminous coal, but the average proportion of F5 is decreased from 56.8% in peat to 12.4% in bituminous coal. The above findings imply that both Hg and sulfur enrich in coal largely due to the migration from organic state to inorganic state with the increase of coalification degree in Ningwu Coalfield.

scholarly journals Comparison of a picture-sort food-frequency questionnaire with 24-hour dietary recalls in an elderly Utah population

2001 ◽  
Vol 4 (5) ◽  
pp. 961-970 ◽  
Author(s):  
Heidi J Wengreen ◽  
Ronald G Munger ◽  
Siew Sun Wong ◽  
Nancy A West ◽  
Richard Cutler
Keyword(s):  
Food Frequency Questionnaire ◽  
Dietary Assessment ◽  
Rank Correlation ◽  
Correlation Coefficients ◽  
Assessment Method ◽  
Impaired Hearing ◽  
Low Literacy ◽  
Food Frequency ◽  
Dietary Recall ◽  
Memory Skill

AbstractObjective:To evaluate the 137-item Utah Picture-sort Food-frequency Questionnaire (FFQ) in the measurement of usual dietary intake in older adults.Design:The picture-sort FFQ was administered at baseline and again one year later. Three seasonal 24-hour dietary recall interviews were collected during the year between the two FFQs. Mean nutrient intakes were compared between methods and between administrations of the FFQ.Setting:The FFQ interviews were administered in respondents' homes or care-centres. The 24-hour diet recalls were conducted by telephone interview on random days of the week.Subjects:Two-hundred-and-eight men and women aged 55–84 years were recruited by random sample of controls from a case–control study of nutrition and bone health in Utah.Results:After adjustment for total energy intake, median Spearman rank correlation coefficients between the two picture-sort FFQs were 0.69 for men aged ≤69 years, 0.66 for men aged >69 years; and 0.68 for women aged ≤69 years, 0.67 for women aged >69 years. Median correlation coefficients between methods were 0.50 for men ≤69 years old, 0.52 for men >69 years old; 0.55 for women ≤69 years old, 0.46 for women >69 years old.Conclusions:We report intake correlations between methods and administrations comparable to those reported in the literature for traditional paper-and-pencil FFQs and one other picture-sort method of FFQ. This dietary assessment method may improve ease and accuracy of response in this and other populations with low literacy levels, poor memory skill, impaired hearing, or poor vision.

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