中药材成分提取动力学数学模型的建立及参数分析

Establishment of Mathematical Kinetic Model of the Components Extracted form the Cmcp and Analyses of Their Parameters

目的:建立单个中药成分提取动力学数学模型及参数分析方法。方法:根据F ick定律、N oyes-w h itney溶出理论和药材提取过程的实际情况,建立包括代数式的微积分方程组的中药复方溶出动力学数学模型,求解得函数表达式,并对动力学参数求算方法进行研究。结果:建立了包含多项e的指数形式的成分溶出浓度解析解及各参数的分析方法。结论:封闭、开发体系中药成分的扩散体系溶出符合线性动力学数学模型,各参数可根据溶出浓度表达式关系计算得到。

Objective： AIM To establish the mathematical kinetic model of the components extracted from the CMCP（ Chinese Medicine Compound Prescription） and analyze their Parameters. Methods： The model, including algebra and differential groups, have been set up according to the FICK discipline and Noyes-Whitney solvent theories, as well as two transfer diffusive processes （MIC to SwC, from material interior compartment to swelled compartment , SwC to SoC, from swelled compartment to solvent compartment） on components extraction of the CMCP. The equation groups ,according to laplace transform, have been given a solution, which expresses the quantitative changes of the component concentration in solvent vs time. The model kinetic parameters have been elucidated , meanwhile the parameters have been analyzed by way of the mathematical kinetic model of the components extracted form the CMCP. Results： It has been established a solution that consists of three parts of E exponent, and also analyzed that the given expressions have been used to calculate the kinetics parameters, including k, k1 ,k2, k3, k4, ρ1 ,ρ1, ρ2, A1, A2, V0, V1, V2. Conclusion： The model can have been carried out with multiplex linear kinetics and each parameters can be analyzed completely.