应用数学和力学
應用數學和力學
응용수학화역학
APPLIED MATHEMATICS AND MECHANICS
2001年
4期
331-336
,共6页
谭文长%吴望一%严宗毅%温功碧
譚文長%吳望一%嚴宗毅%溫功碧
담문장%오망일%엄종의%온공벽
药物%扩散释放%活动边界%近似解析解
藥物%擴散釋放%活動邊界%近似解析解
약물%확산석방%활동변계%근사해석해
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.
採用脩正積分法,得到瞭藥物從柱形高聚物基體內擴散釋放的活動邊界問題的近似解析解,給齣瞭擴散邊界和藥物釋放分數的計算公式及其在不同初裝濃度下的計算結果。計算結果與實驗結果是一緻的。進而,對藥物從片形、柱形、毬形等不同幾何形狀的基體內的釋放問題進行瞭對照,分析瞭基體的不同幾何形狀對藥物釋放的影響。還給齣瞭藥物從柱形基體內擴散釋放的有效時間的近似計算公式。這對臨床實驗具有一定的指導意義,也為進一步研究藥物從柱型高聚物基體內擴散釋放問題以及緩釋製劑的設計提供瞭理論工具.
채용수정적분법,득도료약물종주형고취물기체내확산석방적활동변계문제적근사해석해,급출료확산변계화약물석방분수적계산공식급기재불동초장농도하적계산결과。계산결과여실험결과시일치적。진이,대약물종편형、주형、구형등불동궤하형상적기체내적석방문제진행료대조,분석료기체적불동궤하형상대약물석방적영향。환급출료약물종주형기체내확산석방적유효시간적근사계산공식。저대림상실험구유일정적지도의의,야위진일보연구약물종주형고취물기체내확산석방문제이급완석제제적설계제공료이론공구.
An approximate analytical solution of moving boundary problem fordiffusion 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.