Moving Boundary Problem for Diffusion Release of Drug From a Cylinder Polymeric Matrix
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摘要: 采用修正积分法,得到了药物从柱形高聚物基体内扩散释放的活动边界问题的近似解析解,给出了扩散边界和药物释放分数的计算公式及其在不同初装浓度下的计算结果。计算结果与实验结果是一致的。进而,对药物从片形、柱形、球形等不同几何形状的基体内的释放问题进行了对照,分析了基体的不同几何形状对药物释放的影响。还给出了药物从柱形基体内扩散释放的有效时间的近似计算公式。这对临床实验具有一定的指导意义,也为进一步研究药物从柱型高聚物基体内扩散释放问题以及缓释制剂的设计提供了理论工具。Abstract: An approximate analytical solution of moving boundary problem for diffusion release of drug from a cylinder polymeric matrix was obtained by use of refined integral method.The release kinetics has been analyzed for non-erodible matrices with perfect sink condition.The formulas of the moving boundary and the fractional drug release were given.The moving boundary and the fractional drug release have been calculated at various drug loading levels,and the calculated results were in good agreement with those of experiments.The comparison of the moving boundary in spherical, cylinder,planar matrices has been completed.An approximate formula for estimating the available release time was presented.These results are useful for the clinic experiments.This investigation provides a new theoretical tool for studying the diffusion release of drug from a cylinder polymeric matrix and designing the controlled released drug.
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