State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, PR China.
Int J Pharm. 2011 Oct 10;418(1):78-87. doi: 10.1016/j.ijpharm.2010.12.009. Epub 2010 Dec 14.
Mathematical models for the release of drug from both non-degradable and degradable slab matrices in which the initial drug loading is greater than the solubility are presented in this paper. Taking the anomalous diffusions in the drug release processes into account, the fractional calculus is introduced to model the related phenomena. To describe different kinds of anomalous diffusions, corresponding fractional diffusion equations are adopted. By employing the integral transform methods, similarity solution method and perturbation method, exact and approximation solutions to the models are obtained.
本文提出了一种用于描述非降解和可降解平板基质中药物释放的数学模型，其中初始药物负载量大于溶解度。考虑到药物释放过程中的异常扩散，引入分数微积分来模拟相关现象。为了描述不同类型的异常扩散，采用了相应的分数扩散方程。利用积分变换方法、相似性解法和摄动法，得到了模型的精确解和近似解。
