title: [Fundamentally study on mathematical kinetic model of component extraction from FTCM].
abstract: 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).
  
  
  METHODS
  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 ((1) from protoplasate to apoplasmic, also from material compartment interior cell membrane to outside compartment; (2) apoplasmic 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 astragaloside IV in the BYHWD under 100 degrees C, extracted by water, have been analyzed by way of this model:
  
  
  RESULTS
  It has been established a mathematical model that consists of three parts of e exponent. The kinetic parameters: M, alpha, N, beta, L, pi, K, k1', k2', rho1, rho2, 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 x 10(-3) min(-1), 3.188 x 10(-3) min(-1), 0.375 9 min(-1), 1.420 min, 0.754 7 min, 184.9 min, 0. 0572 1 mg x mL(-1), 289.9 min, 0.070 11%, 46.24%, 22. 35%.
  
  
  CONCLUSIONS
  The kinetic model, applied to isolated system, can have been of the rule of multiplex linear. Each parameters can be analyzed completely.
authors.affiliation: Department of Pharmaceutics Changsha 410007, China. pharmsharking@tom.com
authors.forename: Fu-Yuan
authors.initials: FY
authors.lastname: He
authors.forename: Kai-Wen
authors.initials: KW
authors.lastname: Deng
authors.forename: Jie-Ying
authors.initials: JY
authors.lastname: Luo
authors.forename: Wei
authors.initials: W
authors.lastname: Liu
authors.forename: Wen-Long
authors.initials: WL
authors.lastname: Liu
authors.forename: Chang-Qing
authors.initials: CQ
authors.lastname: Deng
mesh_terms: D000465:Algorithms; D004338:Drug Combinations; D004365:Drugs, Chinese Herbal / Q000737:chemistry / Q000302:isolation & purification*; D007700:Kinetics; D008433:Mathematics; D008954:Models, Biological; D010946:Plants, Medicinal / Q000737:chemistry*; D012503:Saponins / Q000737:chemistry / Q000302:isolation & purification*; D014315:Triterpenes / Q000737:chemistry / Q000302:isolation & purification*
chemical_list: D004338:Drug Combinations; D004365:Drugs, Chinese Herbal; D012503:Saponins; D014315:Triterpenes; C460102:buyang huanwu; C052064:astragaloside A