药物控释系统中分数阶反常扩散可动边界问题的精确解  

An Exact Solution to the Moving Boundary Problem with Fractional Order Anomalous Diffusion in Controlled Drug Release System

作　　者：刘君义[1] 徐明瑜[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《山东大学学报（理学版）》2003年第1期28-32,共5页Journal of Shandong University(Natural Science)

基　　金：教育部高校博士学科点专项基金;国家自然科学基金资助项目(10 2 72 0 67)

摘　　要：将分形动力学机制引入药物控制释放系统 ,应用分数阶Green函数、及Wright函数对非线性问题给出了精确解 .证明了药物从片状高聚物药物控释系统中释放的知名Ritger Peppas半经验公式 .给出了药物释放量的近似表达式 .An exact solution to the moving boundary problem with fractional order anomalous diffusion(in time) in controlled drug release system is given by means of fractional Green's function, and Wright function. The results coincide with the well known semi empirical Ritger Peppas' formula in controlled drug release system. For convenience of use, an approximate expression of the amount released from polymeric matrix with high accuracy is presented.

关 键 词：药物控释系统 可动边界 分数阶反常扩散 分数阶Green函数 精确解 

分 类 号：TB112[理学—数学]