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

作　　者：吴建军[1] 胡巧红[2] 梁文权[2] 

机构地区：[1]浙江大学数学系 [2]浙江大学药物制剂研究所,浙江杭州310031

出　　处：《药学学报》2002年第11期880-884,共5页Acta Pharmaceutica Sinica

基　　金：国家自然科学基金资助项目 (3 9670 85 7)

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 95 5 (P =0 0 0 )和 0 92 4 (P =0 0 0 )。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D1 和a2 为条件相关参数 ,余为条件无关参数。AIM To establish a mathematical model describing drug transdermal permeation under electroporation and analyze influence of electric pulse upon the course of transdermal permeation. METHODS Using 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. RESULTS Assuming that only the maximal increment of diffusion coefficient in the passage with slow responding (D_1), and maximal effective area fraction in the passage with quick responding (a_2), 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. CONCLUSION The 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,D_1 anda_2 are conditionally dependent and others are independent.

关 键 词：电穿孔 咖啡因 透皮扩散 数学模型 建模方法 

分 类 号：R944.9[医药卫生—药剂学] R911[医药卫生—药学]