Modelling drug-eluting stents

Mathematical Medicine and Biology

Volumn 28, Issue 1, 2011, Pages 1-29

  McGinty, Sean ^a   McKee, Sean ^a   Wadsworth, Roger M ^a   McCormick, Christopher ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Drug eluting stents; Laplace transforms; Sensitivity analysis

Indexed keywords

ARTIFICIAL ORGANS; LAPLACE TRANSFORMS; SENSITIVITY ANALYSIS; STENTS; TARGETED DRUG DELIVERY;

ARTERIAL WALL; ATHEROSCLEROTIC PLAQUE; CELLULARS; COATED STENTS; CONVECTION DIFFUSION; DRUG CONCENTRATION; DRUG-ELUTING STENTS; MODEL DRUGS; POLYMER LAYERS; RELEASE RATE;

CONTROLLED DRUG DELIVERY;

EID: 79952593018     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/dqq003     Document Type: Article

References (22)

1. ALBERDING, J. P., BALDWIN, A. L., BARTON, J. K. & WILEY, E. (1992) Effects of pulsation frequency and endothelial integrity on enhanced arterial transmural filtration produced by pulsatile pressure. Am. J. Physiol. Heart Circ. Physiol., 289, H931-H937.
2. ALEXIS, F., VENKATRAMAN, S., RATH, S. K. & BOEY, F. (2004) In vitro study of release mechanisms of paclitaxel and rapamycin from drug-incorporated biodegradable stents. J. Control. Release, 98, 67-74.
3. BALDWIN, A. L., WILSON, L. M., GRADUS-PIZLO, I., WILENSKY, R. & MARCH, K. (1997) Effect of atherosclerosis on transmural convection and arterial ultrastructure. Arterioscler. Thromb. Vasc. Biol., 17, 3365-3375.
4. CARSLAW, H. S. & JAEGER, J. C. (1986) Conduction of Heat in Solids, 2nd edn. New York: Oxford University Press.
5. CREEL, C. J., LOVICH, M. A. & EDELMAN, E. R. (2000) Arterial paclitaxel distribution and deposition. Circ. Res., 86, 879-884.
6. GARASIC, J. M., EDELMAN, E. R., SQUIRE, J. C., SEIFERT, P., WILLIAMS, M. S. & ROGERS, C. (2000) Stent and artery geometry determine intimal thickening independent of arterial injury. Circulation, 101, 812-818.
7. GREEN, J. E. F., JONES, G. W., BAND, L. R. & GRIEF, A. (2005) Arterial stents: modelling drug release and restenosis. Proceedings of the 4th Mathematics in Medicine Study Group, Strathclyde University, 2004, pp. 1-22. Available at: http://www.maths-in-medicine.org/uk/2004/arterial-stents/.
8. HWANG, C.-W., WU, D. & EDELMAN, E. R. (2001) Physiological transport forces govern drug distribution for stent based delivery. Circulation, 104, 600-605.
9. KARNER, G. & PERKTOLD, K. (2000) Effect of endothelial injury and increased blood pressure on albumin accumulation in the arterial wall: a numerical study. J. Biomech., 33, 709-715.
10. LEVER, M. J., TARBELL, J. M. & CARGO, C. G. (1992) The effect of luminal flow in rabbit carotid artery on transmural fluid transport. Exp. Physiol., 77, 553-563.
11. LEVIN, A., VUKMIROVIC, N., HWANG, C.-W. & EDELMAN, E. R. (2004) Specific binding to intracellular proteins determines arterial transport properties for rapamycin and paclitaxel. Proc. Natl. Acad. Sci. USA, 101, 9463-9467.
12. LOVICH, M. A. & EDELMAN, E. R. (1995) Mechanisms of transmural heparin transport in the rat abdominal aorta after local vascular delivery. Circ. Res., 77, 1143-1150.
13. LOVICH, M. A. & EDELMAN, E. R. (1999) Tissue concentration of heparin, not administered dose, correlates with the biological response of injured arteries in vivo. Proc. Natl. Acad. Sci. USA, 96, 11111-11116.
14. MCGINTY, S. (2009) Stents and arterial flows. Ph.D. Thesis (in preparation). University of Strathclyde, Glasgow, UK.
15. MCLEAN, D. R. & LITVACK, F. (2005) Handbook of Drug Eluting Stents: The Importance of the Drug Platform: Coated, Uncoated, Sleeves, and New Concepts. London: Taylor and Francis.
16. PONTRELLI, G. & DE MONTE, F. (2007) Mass diffusion through two-layer porous media: an application to the drug-eluting stent. Int. J. Heat Mass Transf., 50, 3658-3669.
17. STERNBERG, K., KRAMER, S., NISCHAN, C., GRABOW, N., LANGER, T., HENNIGHAUSEN, G. & SCHMITZ, K.-P. (2007) In vitro study of drug-eluting stent coatings based on poly(l-lactide) incorporating cyclosporine a-drug release, polymer degradation and mechanical integrity. J. Mater. Sci. Mater. Med., 18, 1423-1432.
18. TOIYAMA, Y., INOUE, Y., HIRO, J., OJIMA, E., WATANABE, H., NARITA, Y., HOSONO, A., MIKI, C. & KUSUNOKI, M. (2007) The range of optimal concentration and mechanisms of paclitaxel in radioenhancement in gastrointestinal cancer cell lines. Cancer Chemother. Pharmacol., 59, 733-742.
19. VENKATRAMAN, S. & BOEY, F. (2007) Release profiles in drug-eluting stents: issues and uncertainties. J. Control Release, 120, 149-160.
20. WAKSMAN, R. & SERRUYS, P. W. (2004) Handbook of Vulnerable Plaque. London: Taylor and Francis.
21. ZHU, W., MASAKI, T., CHEUNG, A. K. & KERN, S. E. (2006) Cellular pharmacokinetics and pharmacodynamics of dipyridamole in vascular smooth muscle cells. Biochem. Pharmacol., 72, 956-964.
22. ZUNINO, P. (2004) Multidimensional pharmacokinetic models applied to the design of drug-eluting stents. Cardiovasc. Eng. Int. J., 4, 181-191.