Application of Mathematical Modeling in Production of Solvent Extraction of a Medicinal Plant

نویسندگان

  • Morteza Ebrahimi
  • Somayeh Ebrahimi
چکیده

This paper is intended to provide a mathematical model about mass transfer of natural medicinal components in production process of andrographolide as a medical plant. An inverse problem that included a partial differential equation in conjunction with initial and boundary conditions is introduced to estimate diffusivity of andrographolide during production of solvent extraction. To solve the inverse diffusion problem at the beginning a numerical-probabilistic algorithm is employed based on Monte Carlo simulation then effective diffusivity and solute concentration of leaf particles are determined. A numerical test is performed in order to show the efficiency and accuracy of the present work.

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تاریخ انتشار 2013