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.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
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)
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
controlled drug release system
moving boundary problem
fractional anomalous diffusion
Green's function with fractional order
exact solution