Skip to main content
Log in

Method on estimation of drug’s penetrated parameters

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Transdermal drug delivery system (TDDS) is a new method for drug delivery. The analysis of plenty of experiments in vitro can lead to a suitable mathematical model for the description of the process of the drug’s penetration through the skin, together with the important parameters that are related to the characters of the drugs. After the research work of the experiments data, a suitable nonlinear regression model was selected. Using this model, the most important parameter-penetrated coefficient of 20 drugs was computed. In the result one can find, this work supports the theory that the skin can be regarded as singular membrane.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Michniak B B, Player M R, Godwin D A,et al. In vitroevaluation of azone analogsas dermal penetration enhancers—V: Miscellaneous compounds [J].Int J Pharm, 1998,161(2):169–178.

    Article  Google Scholar 

  2. Laugel C, Baillet A, Youenang Piemi M P,et al. Oil-water-oil multiple emulsions for prolonged delivery of hydrocortisone after topical application: comparison with simple emulsions [J].Int J Pharm, 1998,160(1):109–117.

    Article  Google Scholar 

  3. FANG Jia-zou, HUANG Yaw-bin, LIN Huang-hong,et al. Transdermal iontophoresis of sodium nonivamide acetate—IV: Effect of polymer formulations [J].Int J Pharm, 1998,173(2):227–240.

    Google Scholar 

  4. Levang A K, ZHAO Kai-di, Singh Jagdish. Effect of ethanol/propylene glycol on the in vitro perceutaneous absorption of aspirin, biophysical changes and macroscopic barrier properties of the skin [J].Int J Pharm, 1999,181(2):255–263.

    Article  Google Scholar 

  5. Saija Antonella, Tomaino Antonio, Trombetta Domenico,et al. Influence of different penetration enhancers on in vitro skin permeation and in vitro photoprotective effect of flavonoids [J].Int J Pharm, 1998,173(1):127–140.

    Article  Google Scholar 

  6. Cornwell P A, Tubek Joe A H P, Van Gompel Hans,et al. Glyceryl monocaprylate/caprate as a moderate skin penetration enhancers [J].Int J Pharm, 1998,171(2):243–255.

    Article  Google Scholar 

  7. ZHU Jun.Analysis and Fundamentals of Linear Model [M]. Hangzhou: Zhejiang University Press, 1998. (in Chinese)

    Google Scholar 

  8. ZHANG Xiao-de.Applied Regression Analysis [M]. Hangzhou: Zhejiang University Press, 1991. (in Chinese)

    Google Scholar 

  9. WEI Bo-cheng.Nonlinear Regression Model in Modern Time [M]. Nanjing: Southeast University Press, 1989. (in Chinese)

    Google Scholar 

  10. Jennrich R I.Aszmptotic Properties of Nonlinear Least Squares Estimators [M]. Ann Math Statist, 1969.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zeng Yan-jun.

Additional information

Communicated by DAI Shi-qiang

Biographies: LIU Yu-hong (1972 ≈), Doctor

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yu-hong, L., Yan-jun, Z., Jing-feng, X. et al. Method on estimation of drug’s penetrated parameters. Appl Math Mech 25, 440–444 (2004). https://doi.org/10.1007/BF02437528

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02437528

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Navigation