Fundamentally study on mathematical kinetic model of component extraction from FTCM

Objective: To establish the mathematical kinetic model of the components extracted from the FTMC(formulae of the traditional Chinese medicine) and analyze parameters of the astragaloside Ⅳ extracted from the BYHWD(Buyang Huanwu decoction).Method: The model,including algebra and differential groups,have been set up according to the FICK discipline and Noyes-whitney soluted theories,as well as two transfer diffusive processes(①from protoplasate to apoplasmic,also from material compartment interior cell membrane to outside compartment;②apoplasmic to solution,also from outside compartment to solvent compartment) on components extraction from the FTMC.The equation groups,according to laplace transform,have been given a expression as solutions,which indicate the quantitative changes of the component concentration in solvent vs.time.The model kinetic parameters have been analyzed,meanwhile the parameters of the astragalosideⅣ in the BYHWD under 100 ℃,extracted by water,have been analyzed by way of this model: Result: It has been established a mathematical model that consists of three parts of e exponent.The kinetic parameters: M,α,N,β,L, π,K,k1′,k2′,ρ1,ρ2,tmax,cmax,AUC,w0,P,D of the BYHWD were respectivelly 0.061 27%,0.280 2 min-1,-1.027%,0.008 965 min-1,1.077%,0.002 665 min-1,3.451×10-3 min-1,3.188×10-3 min-1,0.375 9 min-1,1.420 min,0.754 7 min,184.9 min,0.0572 1 mg·mL-1,289.9 min,0.070 11%,46.24%,22.35%.Conclusion: The kinetic model,applied to isolated system,can have been of the rule of multiplex linear.Each parameters can be analyzed completely.