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在药物释放研究中分数动力学或分形动力学的困境: Weibull 函数和 Mittag-Leffler 函数的比较。

On the dilemma of fractal or fractional kinetics in drug release studies: A comparison between Weibull and Mittag-Leffler functions.

机构信息

Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece; Pharmainformatics Unit "Athena" Research and Innovation Center, Athens, Greece.

Laboratory of Biopharmaceutics Pharmacokinetics, Department of Pharmacy, School of Health Sciences, National and Kapodistrian University of Athens, Athens, Greece; Pharmainformatics Unit "Athena" Research and Innovation Center, Athens, Greece.

出版信息

Int J Pharm. 2018 May 30;543(1-2):269-273. doi: 10.1016/j.ijpharm.2018.03.060. Epub 2018 Mar 31.

DOI:10.1016/j.ijpharm.2018.03.060
PMID:29614338
Abstract

We compare two of the most successful models for the description and analysis of drug release data. The fractal kinetics approach leading to release profiles described by a Weibull function and the fractional kinetics approach leading to release profiles described by a Mittag-Leffler function. We used Monte Carlo simulations to generate artificial release data from euclidean and fractal substrates. We have also used real release data from the literature and found that both models are capable in describing release data up to roughly 85% of the release. For larger times both models systematically overestimate the number of particles remaining in the release device.

摘要

我们比较了两种最成功的药物释放数据描述和分析模型。分形动力学方法导致用 Weibull 函数描述的释放曲线,以及分数阶动力学方法导致用 Mittag-Leffler 函数描述的释放曲线。我们使用蒙特卡罗模拟从欧几里得和分形基质中生成人工释放数据。我们还使用了文献中的真实释放数据,发现这两种模型都能够描述大约 85%的释放数据。对于更大的时间,这两种模型都系统地高估了释放装置中剩余的粒子数量。

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