University of Lille, College of Pharmacy, 3 Rue du Prof. Laguesse, 59006 Lille, France.
J Control Release. 2012 Jul 20;161(2):351-62. doi: 10.1016/j.jconrel.2011.10.006. Epub 2011 Oct 13.
Mathematical modeling of drug release can be very helpful to speed up product development and to better understand the mechanisms controlling drug release from advanced delivery systems. Ideally, in silico simulations can quantitatively predict the impact of formulation and processing parameters on the resulting drug release kinetics. The aim of this article is to give an overview on the current state of the art of modeling drug release from delivery systems, which are predominantly controlled by diffusional mass transport. The inner structure of the device, the ratio "initial drug concentration:drug solubility" as well as the device geometry determine which type of mathematical equation must be applied. A straightforward "road map" is given, explaining how to identify the appropriate equation for a particular type of drug delivery system. The respective equations for a broad range of devices are indicated, including reservoir and matrix systems, exhibiting or not an initial excess of drug and the geometry of slabs, spheres and cylinders. The assumptions the models are based on as well as their limitations are pointed out. Practical examples illustrate the usefulness of mathematical modeling of diffusion controlled drug delivery. Due to the advances in information technology the importance of in silico optimization of advanced drug delivery systems can be expected to significantly increase in the future.
药物释放的数学建模对于加快产品开发和更好地理解控制先进给药系统中药物释放的机制非常有帮助。理想情况下，计算机模拟可以定量预测配方和加工参数对最终药物释放动力学的影响。本文的目的是概述当前药物释放建模的最新技术，这些模型主要受扩散质量传输控制。装置的内部结构、“初始药物浓度：药物溶解度”的比值以及装置几何形状决定了必须应用哪种类型的数学方程。本文提供了一个简单的“路线图”，解释了如何为特定类型的药物输送系统识别适当的方程。还指出了包括具有或不具有药物初始过量的储库和基质系统以及平板、球体和圆柱体等各种装置的相应方程。指出了模型所基于的假设及其局限性。实际示例说明了扩散控制药物释放的数学建模的有用性。由于信息技术的进步，可以预期未来对先进药物输送系统的计算机优化的重要性将大大增加。
