The relative proportion of traditional Chinese medicine extract theoretical relationship with the solids content of discussions

[Abstract] Mathematical Methods for the relative proportion of traditional Chinese medicine extract the relationship between solids content and the possible significance of the theory.

[Keywords:] traditional Chinese medicine; extract; the relative weight; solid content

Chinese extract is a major Chinese pharmaceutical substances in the form of the process, the relative weight and solid (body) content are the two main physical properties. Among them, the relative weight to facilitate the determination of many unit operations such as concentration, drying, fluid, with parameters indicators; solid (body) content is reflected in the quality of the extract solids index of how much can be used to evaluate the preparation process of metastasis of solid components, materials and preparations for the calculation of the total balance. Both have a certain relevance, such as the empirical formula: solid content = a · (relative weight of -1), where a is the number one in the vicinity of 2 [1]. empirical formula can be used to obtain an accurate determination of the actual establishment of the sample in this study to the universality of their relationship may exist in theory to explore, to deepen understanding of Chinese pharmaceutical process.

Assuming a certain amount of solute A dissolved in a certain volume of water B (the relative weight of 1), its solution volume C = (B + solute dissolved resulting volume change). Solutes dissolved resulting volume change range of values ​​assumed in the (0 ~ A · a-1) between. For purposes of calculation, the solution is part of the volume change of the formula set A · a-1, where A is the solute mass, a solid density (for the theoretical study separately). At this point, estimated the relative weight of the solution X and Y, respectively, solid content obtained by the following formula: relative proportion of X = (A + B) · (B + A / a) -1; solid content Y = A · (A + B) -1.

Assumptions under different conditions, results show that: when the solid volume increases in the process, the relative weight in the formula a value close to the relative weight; a larger value, the more deviation from the formula in the form of "a · (relative weight) -1" form in Table 1. When a = 1.6 when the relative proportion of X and Y to return to solid content to get y = 2.0332x - 2.0076 (correlation coefficient μ = 0.9922), ie y = 2 · (x - 1), and empirical formula [1] the same in Table 2.

Chinese pharmaceutical process of transfer of material balance and rate of index components of the calculation, the total value were associated with the solid. Determination of solid content evaporated commonly used sampling methods, experimental conditions and needs some time, is not conducive to the online site management. using the relative weight of the solid content and extract the relationship between the solid content can be reached online monitoring purposes. extracting liquid to solid (body) content from 0 to 1, near the close to the process of extract can be considered concentration, drying process; the last water close to 0, then the relative weight of the extract of the solid density. Since different solutes (herbal extracts) with different physical and chemical properties, the solid density will vary, therefore, in the formula coefficient of a subject to change. a range of value whether in the vicinity of 1.6 (the "extract solid density of about 1.6") and "solid density" concept needs further study. Table 1, a number of different conditions and the relative weight of the solution Table 2 Relationship between solid content of the solution under the assumption of the relative weight of relations with the solid content.

[References]
1 Geng Zhao. Herbal extracts solids Research. Shanghai: Shanghai University of TCM, 2004.


Mathematical Journal of Medicine 2010, Volume 23 No. 1 Journal of Mathematical MedicineVol.23 No. 1 2010

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