吴建军, 胡巧红, 梁文权. 关于电穿孔对咖啡因透皮过程影响的一种数学建模方法J. 药学学报, 2002, 37(11): 880-884.
引用本文: 吴建军, 胡巧红, 梁文权. 关于电穿孔对咖啡因透皮过程影响的一种数学建模方法J. 药学学报, 2002, 37(11): 880-884.
WU Jian-jun, HU Qiao-hong, LIANG Wen-quan. A METHOD OF MATHEMATICAL MODELING FOR THE EFFECT OF ELECTROPORATION ON TRANSDERMAL PERMEATION OF CAFFEINEJ. Acta Pharmaceutica Sinica, 2002, 37(11): 880-884.
Citation: WU Jian-jun, HU Qiao-hong, LIANG Wen-quan. A METHOD OF MATHEMATICAL MODELING FOR THE EFFECT OF ELECTROPORATION ON TRANSDERMAL PERMEATION OF CAFFEINEJ. Acta Pharmaceutica Sinica, 2002, 37(11): 880-884.

关于电穿孔对咖啡因透皮过程影响的一种数学建模方法

A METHOD OF MATHEMATICAL MODELING FOR THE EFFECT OF ELECTROPORATION ON TRANSDERMAL PERMEATION OF CAFFEINE

  • 摘要: 目的建立描述电穿孔促渗药物经皮渗透的数学模型,分析电脉冲对经皮渗透过程的影响。方法以咖啡因为模型药物,测定不同电脉冲强度(电压、脉冲数等)下的渗透速率,建立快-慢响应双通道假设的近似数学模型。 结果对1组咖啡因实验资料,在仅视慢响应通道扩散系数的最大增加量D1和快响应扩散通道的最大有效面积分数a2为条件相关参数的假定下,模型偏差远小于重复实验误差,而且这两个参数与脉冲总能量E的线性相关系数各为0.955(P=0.00)和0.924(P=0.00)。结论模型很好地拟合数据,关于Fick扩散律及快-慢响应双通道假设均可接受;而且可视D1a2为条件相关参数,余为条件无关参数。

     

    Abstract: AIMTo establish a mathematical model describing drug transdermal permeation under electroporation and analyze influence of electric pulse upon the course of transdermal permeation. METHODSUsing caffeine as a model drug, measure permeation fluxes under different pulse strengthes (voltage and pulse numbers, etc.), set up an approximately mathematical model with quick-slow responding passages. RESULTSAssuming that only the maximal increment of diffusion coefficient in the passage with slow responding (D1), and maximal effective area fraction in the passage with quick responding (a2), are the conditionally dependent parameters. It is found that the fitted difference from the model to the data is far smaller than the repeated experiment errors, and the linear correlation coefficients between the two parameters and total energy of pulses, E, are 0.955 (P=0.00) and 0.924 (P=0.00), respectively. CONCLUSIONThe data is finely fitted by the model. The modeling methodology and the hypotheses about the Ficken diffusion law and the double passages with quick-slow respondings both may be accepted. It may be considered that the two parameters, D1 and a2 are conditionally dependent and others are independent.

     

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