Method on Estimation of Drug's Penetrated Parameters

LIU Yu-hong; ZENG Yan-jun; XU Jing-feng; ZHANG Mei

Volume 25 Issue 4

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(4): 400-404

Zhang Bao-shan. A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1119-1126.

Citation:

LIU Yu-hong, ZENG Yan-jun, XU Jing-feng, ZHANG Mei. Method on Estimation of Drug's Penetrated Parameters[J]. Applied Mathematics and Mechanics, 2004, 25(4): 400-404.

Zhang Bao-shan. A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1119-1126.

Citation:

LIU Yu-hong, ZENG Yan-jun, XU Jing-feng, ZHANG Mei. Method on Estimation of Drug's Penetrated Parameters[J]. Applied Mathematics and Mechanics, 2004, 25(4): 400-404.

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Method on Estimation of Drug's Penetrated Parameters

1.
Biomechanical and Medical Information Institute, Beijing Polytechnic University, Beijing 100022, P. R. China;

Received Date: 2001-11-27
Rev Recd Date: 2003-12-02
Publish Date: 2004-04-15

Abstract

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.
- nonlinear regression model,
- penetration coefficient,
- transdermal drug delivery system(TDDS)

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References(10)

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. doi: 10.1016/S0378-5173(97)00349-9
[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. doi: 10.1016/S0378-5173(97)00302-5
[3]	FANG Jia-zou,HUANG Yaw-bin,LIN Huang-hong,et al.Transdermal iontophoresis of sodium nonivamide acetate—Ⅳ:Effect of polyrner formulations[J].Int J Pharm,1998,173(2):227—240.
[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. doi: 10.1016/S0378-5173(99)00055-1
[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. doi: 10.1016/S0378-5173(98)00213-0
[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. doi: 10.1016/S0378-5173(98)00194-X
[7]	朱军.线性回归模型的原理及应用[M].杭州：浙江大学出版社，1998.
[8]	张小蒂.应用回归分析[M].杭州：浙江大学出版社，1991.
[9]	韦博成.近代非线性回归分析[M].南京：东南大学出版社，1989.
[10]	Jennrich R I.Aszmptotic Properties of Nonlinear Least Squares Estimators[M].Ann Math Statist,1969.

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