Abstract
ObjectivePanax 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.
Highlights
Results indicated that the doses of Panax ginseng and Atractylodes macrocephala Koidz. (AMK) of the three groups of prescriptions had a good fit between the kernel and empirical distribution functions (Figure 2)
Among the 110 prescriptions indicated for diabetes mellitus, the Panax ginseng and AMK dose groups were substituted into the copula function, after which their corresponding squared Euclidean distances, parameter-estimated values, and correlation coefficients were calculated
Results showed that the composition of the Panax ginseng and AMK drug pair remained unchanged; different clinical manifestations were produced because of different dosages of the two drugs
Summary
Panax ginseng and Atractylodes macrocephala Koidz. (AMK) are widely used in treating various diseases; research is insufficient on measuring the relationship that exists by combining this drug pair using the copula function. 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. E 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 indicated that the use of the t-copula function can better reflect the correlation between Panax ginseng and AMK doses. 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. 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. is study provides a methodological basis for more drug measurement studies and clinical medications
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