A unified mathematical model for the prediction of controlled release from surface and bulk eroding polymer matrices.

A unified mathematical model for the prediction of controlled release from surface and bulk eroding polymer matrices.
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DOI:
10.1016/j.biomaterials.2008.12.002
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发表时间:
2009-03
期刊:
影响因子:
14
通讯作者:
Little, Steven R.
Little, Steven R.
中科院分区:
工程技术1区
文献类型:
--
作者:
Rothstein, Sam N.;Federspiel, William J.;Little, Steven R.

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已经开发了一个统一的模型,不仅可以预测本体侵蚀和表面侵蚀系统的释放,还可以预测降解过程中从表面侵蚀行为转变为本体侵蚀行为的基质的释放。这种广泛的适用性是由基本的扩散/反应方程提供的,这些方程可以描述各种情况,包括可水解聚合物基质的水合和质量损失。这些方程一起自然地解释了聚合物降解速率的空间分布。在该模型范例中,计算了各种聚合物类型的基质在表面侵蚀条件下表现出降解所需的理论最小尺寸,然后通过文献中的经验数据进行验证。另一组方程解释了基于溶解和/或降解的释放,并且取决于基质的水合和聚合物的侵蚀。为了测试模型的准确性,将药剂流出的预测与聚酸酐和聚原酸酯植入物的实验数据进行了比较,这些植入物被假定经历溶解限制或降解控制释放。由于这些预测仅根据易于获得的设计参数计算得出,因此该模型似乎可用于指导设计控释制剂,从而产生各种定制释放曲线。
A unified model has been developed to predict release not only from bulk eroding and surface eroding systems but also from matrices that transition from surface eroding to bulk eroding behavior during the course of degradation. This broad applicability is afforded by fundamental diffusion/reaction equations that can describe a wide variety of scenarios including hydration of and mass loss from a hydrolysable polymer matrix. Together, these equations naturally account for spatial distributions of polymer degradation rate. In this model paradigm, the theoretical minimal size required for a matrix to exhibit degradation under surface eroding conditions was calculated for various polymer types and then verified by empirical data from the literature. An additional set of equations accounts for dissolution-and/or degradation-based release and is dependent upon hydration of the matrix and erosion of the polymer. To test the model’s accuracy, predictions for agent egress were compared to experimental data from polyanhydride and polyorthoester implants that were postulated to undergo either dissolution-limited or degradation-controlled release. Because these predictions are calculated solely from readily-attainable design parameters, it seems likely that this model could be used to guide the design controlled release formulations that produce a broad array of custom release profiles.
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