A general model of coupled drug release and tissue absorption for drug delivery devices

被引:75
作者
McGinty, Sean [1 ]
Pontrelli, Giuseppe [2 ]
机构
[1] Univ Strathclyde, Dept Math & Stat, Glasgow, Lanark, Scotland
[2] CNR, Ist Applicaz Calcolo, I-00185 Rome, Italy
基金
英国工程与自然科学研究理事会;
关键词
Drug delivery; Dissolution; Diffusion; Binding; Two-phase equations; Coupled partial differential equations; ARTERIAL; DIFFUSION; SYSTEMS; TRANSPORT; STENTS; MEDIA;
D O I
10.1016/j.jconrel.2015.09.025
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
In this paper we present a general model of drug release from a drug delivery device and the subsequent transport in biological tissue. The model incorporates drug diffusion, dissolution and solubility in the polymer coating, coupled with diffusion, convection and reaction in the biological tissue. Each layer contains bound and free drug phases so that the resulting model is a coupled two-phase two-layer system of partial differential equations. One of the novelties is the generality of the model in each layer. Within the drug coating, our model includes diffusion as well as three different models of dissolution. We show that the model may also be used in cases where dissolution is rapid or not relevant, and additionally when drug release is not limited by its solubility. Within the biological tissue, the model can account for nonlinear saturable reversible binding, with linear reversible binding and linear irreversible binding being recovered as special cases. The generality of our model will allow the simulation of the release from a wide range of drug delivery devices encompassing many different applications. To demonstrate the efficacy of our model we simulate results for the particular application of drug release from arterial stents. (c) 2015 The Authors. Published by Elsevier B.V.
引用
收藏
页码:327 / 336
页数:10
相关论文
共 33 条
[1]  
[Anonymous], 1897, J. Am. Chem. Soc., DOI [DOI 10.1021/JA02086A003, 10.1021/ja02086a003]
[2]   Optimization of Drug Delivery by Drug-Eluting Stents [J].
Bozsak, Franz ;
Gonzalez-Rodriguez, David ;
Sternberger, Zachary ;
Belitz, Paul ;
Bewley, Thomas ;
Chomaz, Jean-Marc ;
Barakat, Abdul I. .
PLOS ONE, 2015, 10 (06)
[3]   Modeling the transport of drugs eluted from stents: physical phenomena driving drug distribution in the arterial wall [J].
Bozsak, Franz ;
Chomaz, Jean-Marc ;
Barakat, Abdul I. .
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, 2014, 13 (02) :327-347
[4]  
Ferreira J. A., 2011, COMPUT MODEL ENG SCI, P71
[5]   MODELING POLYMERIC CONTROLLED DRUG RELEASE AND TRANSPORT PHENOMENA IN THE ARTERIAL TISSUE [J].
Formaggia, L. ;
Minisini, S. ;
Zunino, P. .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2010, 20 (10) :1759-1786
[6]   The mechanisms of drug release in poly(lactic-co-glycolic acid)-based drug delivery systems-A review [J].
Fredenberg, Susanne ;
Wahlgren, Marie ;
Reslow, Mats ;
Axelsson, Anders .
INTERNATIONAL JOURNAL OF PHARMACEUTICS, 2011, 415 (1-2) :34-52
[8]   Modelling drug release from inert matrix systems: From moving-boundary to continuous-field descriptions [J].
Frenning, Goran .
INTERNATIONAL JOURNAL OF PHARMACEUTICS, 2011, 418 (01) :88-99
[9]   Mathematical and computational models of drug transport in tumours [J].
Groh, C. M. ;
Hubbard, M. E. ;
Jones, P. F. ;
Loadman, P. M. ;
Periasamy, N. ;
Sleeman, B. D. ;
Smye, S. W. ;
Twelves, C. J. ;
Phillips, R. M. .
JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2014, 11 (94)
[10]   Finite difference schemes for multilayer diffusion [J].
Hickson, R. I. ;
Barry, S. I. ;
Mercer, G. N. ;
Sidhu, H. S. .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) :210-220