Mass diffusion through two-layer porous media: an application to the drug-eluting stent
Mass diffusion through two-layer porous media: an application to the drug-eluting stent
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DOI：
10.1016/j.ijheatmasstransfer.2006.11.003
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发表时间：
2007-08
影响因子：
5.2
通讯作者：
G. Pontrelli;F. Monte
中科院分区：
文献类型：
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作者：
G. Pontrelli;F. Monte
提出了一种物质在两种不同性质和尺寸的多孔均匀介质间扩散输运的数学模型。与一维瞬态热传导过程在两层板上的相似性很强，并提出了类似的求解方法。分离变量导致了系数不连续的Sturm-Liouville问题，并以无穷级数展开的形式给出了精确解析解。该模型指出了四个非维参数在控制两层多孔层间扩散机制中的作用。药物洗脱支架是本模型的主要应用。给出并分析了不同时间的药物浓度曲线。此外，本文还提供了评价新药物递送策略可行性的定性考虑和定量描述，并讨论了一些有助于优化药物洗脱支架设计的指标，如排空时间。
A mathematical model for the diffusion–transport of a substance between two porous homogeneous media of different properties and dimensions is presented. A strong analogy with the one-dimensional transient heat conduction process across two-layered slabs is shown and a similar methodology of solution is proposed. Separation of variables leads to a Sturm–Liouville problem with discontinuous coefficients and an exact analytical solution is given in the form of an infinite series expansion. The model points out the role of four nondimensional parameters which control the diffusion mechanism across the two porous layers. The drug-eluting stent constitutes the main application of the present model. Drug concentration profiles at various times are given and analyzed. Also, qualitative considerations and a quantitative description to evaluate feasibility of new drug delivery strategies are provided, and some indicators, such as the emptying time, useful to optimize the drug-eluting stent design are discussed.