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本文引用的文献

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Mathematical modeling and simulation of drug release from microspheres: Implications to drug delivery systems.微球药物释放的数学建模与模拟:对药物递送系统的启示
Adv Drug Deliv Rev. 2006 Nov 30;58(12-13):1274-325. doi: 10.1016/j.addr.2006.09.007. Epub 2006 Sep 26.
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Biodegradable microspheres for parenteral delivery.用于肠胃外给药的可生物降解微球。
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Formulation and characterization of poly (beta amino ester) microparticles for genetic vaccine delivery.用于基因疫苗递送的聚(β-氨基酯)微粒的制备与表征
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Finite element analysis of the release of slowly dissolving drugs from cylindrical matrix systems.圆柱形基质系统中缓释药物释放的有限元分析
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How autocatalysis accelerates drug release from PLGA-based microparticles: a quantitative treatment.自催化如何加速基于聚乳酸-羟基乙酸共聚物(PLGA)的微粒的药物释放:定量研究。
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Role of polyanhydrides as localized drug carriers.聚酸酐作为局部药物载体的作用。
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Biodegradable microspheres for protein delivery.用于蛋白质递送的可生物降解微球。
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Characterization of a homologous series of D,L-lactic acid oligomers; a mechanistic study on the degradation kinetics in vitro.D,L-乳酸低聚物同系物的表征;体外降解动力学的机理研究
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A new mathematical model quantifying drug release from bioerodible microparticles using Monte Carlo simulations.一种使用蒙特卡罗模拟对生物可蚀性微粒中的药物释放进行量化的新数学模型。
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Polyanhydride degradation and erosion.聚酸酐的降解与侵蚀
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用于预测表面和本体侵蚀性聚合物基质控释的统一数学模型。

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

作者信息

Rothstein Sam N, Federspiel William J, Little Steven R

机构信息

Department of Chemical Engineering, University of Pittsburgh, 3501 Fifth Avenue, Pittsburgh, PA 15203, USA.

出版信息

Biomaterials. 2009 Mar;30(8):1657-64. doi: 10.1016/j.biomaterials.2008.12.002. Epub 2008 Dec 19.

DOI:10.1016/j.biomaterials.2008.12.002
PMID:19101031
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC2864484/
Abstract

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, which are 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.

摘要

已经开发出一种统一模型,不仅可以预测从整体侵蚀和表面侵蚀系统的释放,还可以预测在降解过程中从表面侵蚀转变为整体侵蚀行为的基质的释放。这种广泛的适用性由基本的扩散/反应方程提供,这些方程可以描述包括可水解聚合物基质的水合作用和质量损失在内的各种情况。这些方程共同自然地说明了聚合物降解速率的空间分布。在这个模型范式中,针对各种聚合物类型计算了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了验证。另一组方程考虑了基于溶解和/或降解的释放,这取决于基质的水合作用和聚合物的侵蚀。为了测试模型的准确性,将药物释放的预测结果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可控释放制剂,从而产生广泛的定制释放曲线。