title: [Mathematical kinetic model of dual-frequency ultrasound assisted extraction of effective components traditional Chinese medicine].
abstract: OBJECTIVE
  To establish the mathematical kinetic model of the components extracted from the Salvia miltiorrhiza.
  
  
  METHODS
  In the conditions of ultrasound extracting the course of traditional Chinese medicine, the role of ultrasound intensity is large enough, the proliferation of boundary layer can be infinitesimal, as well as the solute upon the surface of medicine quickly into the main solution, we can assume that the whole process of extraction from the control of proliferation. A mathematical model of dual-frequency ultrasound extraction kinetics based on Fick's second diffusion law was established for traditional Chinese medicine. Based on material size and solid/liquid ratio significant factors.
  
  
  RESULTS
  We adopt Origin software to carry out a mathematics simulation, the result showed: simulation graphics and experiment value are very fitting.
  
  
  CONCLUSIONS
  This proves that S. miltiorrhiza extraction course accords with ordinary extraction dynamics equation at the dual-frequency ultrasound.
authors.affiliation: College of Pharmacy, Guangdong Pharmaceutical University, Guangzhou 510006, China. biyongguang2002@163.com
authors.forename: Yongguang
authors.initials: Y
authors.lastname: Bi
authors.forename: Taiqiu
authors.initials: T
authors.lastname: Qiu
authors.forename: Kang
authors.initials: K
authors.lastname: Li
authors.forename: Kunping
authors.initials: K
authors.lastname: Li
authors.forename: Fansheng
authors.initials: F
authors.lastname: Kong
mesh_terms: D004365:Drugs, Chinese Herbal / Q000737:chemistry*; D007700:Kinetics; D008962:Models, Theoretical; D010316:Particle Size; D010946:Plants, Medicinal / Q000737:chemistry*; D027561:Salvia miltiorrhiza / Q000737:chemistry*; D014465:Ultrasonics
chemical_list: D004365:Drugs, Chinese Herbal