Applicability of Zipf's Law in Traditional Chinese Medicine Prescriptions

Q2 Medicine Chinese Medical Sciences Journal Pub Date : 2022-09-01 DOI:10.24920/004133

Yuanbai Li, Yu Du, Fangzhou Liu, Yiying Zhang, Meng Li, Jing Wang, Yihao Li, Yang Yang

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引用次数: 1

Abstract

Objective

Traditional Chinese medicine (TCM) prescriptions have been used to cure diseases in China for thousands of years, in which many TCM herbs have no definite common quantity. Some key TCM herbs are commonly used and thus deserve in-depth investigations based on a more acceptable classification method. This study analyzes whether TCM prescriptions follow Zipf's law and attempts to obtain the thresholds of key TCM herbs based on the application of Zipf's law.

Methods

A total of 84,418 TCM prescriptions were collected and standardized. We tested whether Zipf's law and Zipf's distribution fit the Chinese herb distributions. A linear fitting experiment was performed to verify the relationship between the frequency distribution and frequency of TCM herbs.

Results

The distribution of TCM herbs in TCM prescriptions conformed to Zipf's law. Accordingly, the thresholds were obtained for the key TCM herbs.

Conclusion

The distribution of TCM herbs in TCM prescriptions follows Zipf's law.

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齐夫定律在中药方剂中的适用性

目的中药方剂在中国用于治疗疾病已有数千年的历史，其中许多中药没有确定的共同剂量。一些重要的中药是常用的，因此需要根据更容易接受的分类方法进行深入研究。本研究分析中药方剂是否符合Zipf定律，并试图在Zipf定律应用的基础上获得关键中药的阈值。方法收集整理中药处方84,418张。我们检验了齐夫定律和齐夫分布是否符合中草药的分布。通过线性拟合实验验证中草药的频率分布与频率之间的关系。结果中药在中药处方中的分布符合齐夫定律。据此，得到了重点中药的阈值。结论中药在中药方剂中的分布符合齐夫规律。

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