世界中医药

目的：提出并建立一种基于指纹峰频率的生物体系中药内禀品质等级数理理论。方法：根据相同品质中药的系统理论判别方法，精确鉴别不同中药品种；基于同品种样品集的每个指纹峰的频率建立了品质描述函数。确定样品集指纹峰品质发生显著变化的临界频率尺度f≧f-+xSf，x=-0.5，0，0.5，1，及不同品质等级的指纹峰和其数目。根据双指标信息理论方程确定的同品质生物系统的共有峰率标准Pg≥61%,依次确定每个样品指纹图谱中包含的各品质等级指纹峰数并计算其与该品质等级的指纹峰数之比，判定每个样品的所属品质等级。结果：对31个组成非常相似的十全大补丸及补中益气丸样品进行了指纹图谱分析及品种精确鉴别，判定了该22个十全大补丸样品的品质等级。优级品质分子性状构成该类生物体系的特征标记群。结论：生物内禀品质等级数理理论，初步实现了中药生物体系品质等级的严密理论判别，为科学判别中药材、中药复方或其他生物体系品质等级探索了一条可行的新途径。

English Summary:

To propose and establish a mathematical theory of biological systems’ quality grade, which based on the intrinsic laws obeyed by them and fingerprint spectra. Methods: To accurately identify Chinese medicine species based on the systematical theory of Chinese medicines being of identical quality. Then build up quality function depending on the frequency of each peak in fingerprint spectra of a sample set, as the biological systems’ quality information can be represented by stability of peaks in fingerprint spectra of metabolites and secondary metabolites. Then determine different critical frequency scales f≧f-+xSf，x=-0.5, 0, 0.5, 1. The quality of fingerprint peaks in a sample set varies distinctively because of different critical frequency scales. Next, to decide fingerprint peaks and their number of different quality grade fingerprint peaks in the sample set, and that of each sample from excellent rank to qualified rank respectively. As a result, the quality grade of each sample can be ascertained relying on the theoretical standard. The ratio of its peak number to the total peak number belongs to a certain grade, which is equal to or lager than 61% and is obtained from the biological heredity and variation evolution information theory-the dual index information theory. The distinguish procedure should be order from excellent rank to qualified rank. Results: The approach was confirmed by analyzing the infrared fingerprint spectra of components, which are extracted from 22 Shiquan Dabu pills and 9 Buzhong Yiqi pills from different corporations with chloroform. The quality grades of 22 Shiquan Dabu Pills were detected. The results indicated that these samples all belong to excellent rank though there are some differences among their characteristic sequences. Conclusion: This mathematical theory to determine biological system quality grade might be a good approach for any kind of biological systems, theoretically or quantitatively speaking. Besides, the peaks ranking at excellent grade might be as the characteristic marker group of the biological species.

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