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Methodology
Journal of Chinese Integrative Medicine: Volume 9, 2011   Issue 7
Study of biological performance of Chinese materia medica with either a cold or hot property based on the three-element mathematical analysis model
1. Rui Jin (School of Traditional Chinese Medicine, Beijing University of Chinese Medicine, Beijing 100102, China )
2. Bing Zhang (School of Traditional Chinese Medicine, Beijing University of Chinese Medicine, Beijing 100102, China E-mail: zhangbing6@263.net)
3. Xiao-qing Liu (School of Traditional Chinese Medicine, Beijing University of Chinese Medicine, Beijing 100102, China )
4. Sen-mao Liu (School of Mathematical Science, Peking University, Beijing 101871, China )
5. Xin Liu (School of Traditional Chinese Medicine, Beijing University of Chinese Medicine, Beijing 100102, China )
6. Lian-zhen Li (School of Traditional Chinese Medicine, Beijing University of Chinese Medicine, Beijing 100102, China )
7. Qian Zhang (School of Traditional Chinese Medicine, Beijing University of Chinese Medicine, Beijing 100102, China )
8. Chun-miao Xue (School of Traditional Chinese Medicine, Beijing University of Chinese Medicine, Beijing 100102, China )

Objective: The properties of Chinese materia medica are believed to be the summarization of the effects of biological performance on the various body states. Systemic discussion of chemical-factor elements, body-condition elements, biological-performance elements and their interrelationships is needed for research into the properties of Chinese materia medica. Following the practical characteristics of Chinese medicine, the three-element mathematical model was formed by introducing some mathematical concepts and methods and was used to study the cold or hot property of Chinese medicine, and to investigate the difference in biological performances of the two properties.
Methods: By using the concept of different functionality of Chinese medicine on abnormal states and the idea of interaction in mathematics, the effects of chemical-factor elements and body-condition elements were normalized to the amount of biological performance which was represented by some important indicators. The three-element mathematical model was formed with scatter plots through four steps, including effect separation, intensity calculation, frequency statistics and relevance analysis. A comparison pharmacology experiment of administration of hot property medicines, Fuzi (Radix Aconiti Lateralis Preparata) and Rougui (Cortex Cinnamomi), and cold property medicines, Huangbai (Cortex Phellodendri) and Zhizi (Fructus Gardeniae) on normal and glucocorticoid-induced yang-deficiency and yin-deficiency states was designed. The results were analyzed by the mathematical model. The scatter plots were the main output of model analysis. The expression of cold property and hot property was able to be quantified by frequency distribution of biological indexes of administrations on yang-deficiency and yin-deficiency states in the “efficacy zone” and “toxicity zone” of the plots and by the relevance analysis.
Results: The ratios of biological indicator frequency in the “efficacy zone” of administrations on yang-deficiency state and yin-deficiency state were 7∶3 for Fuzi, 3∶3 for Rougui, 4∶4 for Huangbai and 1∶5 for Zhizi. The sums of the biological indicator frequency in the “toxicity zone” of administration on the two states were 4 for Fuzi, 0 for Rougui, 2 for Huangbai and 4 for Zhizi. The relevance analysis showed that the order from Fuzi, Rougui, Huangbai to Zhizi was proportional to the change from “be true of yang-deficiency state” to “be true of yin-deficiency state”. The extent of the hot property decreased while that of the cold property increased in the order of Fuzi, Rougui, Huangbai and Zhizi. The stronger the efficacy of above medicines is, the more obvious the toxicity displayed.
Conclusion: The three-element mathematical model employed in this study is effectively capable of explaining the different biological expressions between hot property medicines and cold property medicines. This suggests that it may provide a mathematical tool and theoretical basis for the modern interpretation of cold property and hot property of Chinese medicine, and provide new ideas for further studing into the essence of Chinese medicine property theory.

Received March 23, 2011; accepted April 11, 2011; published online July 15, 2011.
Full-text LinkOut at PubMed. Journal title in PubMed: Zhong Xi Yi Jie He Xue Bao.
    
Correspondence: Bing Zhang, MD, Professor; Tel: 010-64286335; E-mail: zhangbing6@263.net

 

Full text of this article is in Chinese

  
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This article has been cited by other articles ( Within JCIM & JIM )
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3. A complexity analysis of Chinese herbal property theory: the multiple expressions of herbal property (Part 2). 2012, 10(12)
4. Research progress in biological basis of cold and heat essence of Chinese medicine. 2012, 10(12)

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