An advection-diffusion multi-layer porous model for stent drug delivery in coronary arteries

Vahedi, S. M.; Valipour, M. S.; De Monte, F.

doi:10.22061/jcarme.2018.2741.1280

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	An advection-diffusion multi-layer porous model for stent drug delivery in coronary arteries
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 1، دوره 9، شماره 1 - شماره پیاپی 17، مهر 2019، صفحه 1-18 اصل مقاله (1.2 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2018.2741.1280
نویسندگان
S. M. Vahedi¹؛ M. S. Valipour^* ¹؛ F. de Monte²
¹Faculty of Mechanical Engineering, Semnan University, Semnan, Semnan Province, 35131-19111, Iran
²Department of Industrial and Information Engineering and Economics, University of L'Aquila, L'Aquila, Località Monteluco, 67040 Roio Poggio, Italy
تاریخ دریافت: 10 تیر 1396، تاریخ بازنگری: 25 اسفند 1396، تاریخ پذیرش: 22 مهر 1397
چکیده
Arterial drug concentration distribution determines local toxicity. The safety issues dealt with Drug-Eluting Stents (DESs) reveal the needs for investigation about the effective factors contributing to fluctuations in arterial drug uptake. The current study focused on the importance of hypertension as an important and controversial risk factor among researchers on the efficacy of Heparin-Eluting Stents (HES). For this purpose, the effect of blood pressure is systematically investigated in certain cardiac cycle modes. A comprehensive study is conducted on two classes, pulsatile (time-dependent), to have a more realistic simulation, and non-pulsatile (time-independent) blood flow, each one in four modes. The governing equations applied to drug release dynamics are obtained based on porous media theory. The equations are solved numerically using Finite Volume Method (FVM). Results reveal that there is a significant difference when the plasma flow considered and when it is neglected (regardless of time dependency). Moreover, the concentration level is more decreased in pulsatile blood flow rather than the non-pulsatile blood flow, although the penetration depth for pressure and concentration are nearly 20% and 5% of the wall thickness, respectively. In other words, the mass experienced by the arterial wall is lower in pulsatile blood flow in comparison to non-pulsatile blood flow. As a consequence, the risk of toxicity is declined as the blood pressure increases. Also, it can be seen that the polymer is diffusion-dominated so that no significant changes in the release characteristics are observed in the presence of the plasma filtration.
کلیدواژه‌ها
Multi-layer Porous media؛ Advection-Diffusion Equation؛ Hypertension؛ Pulsatile blood flow؛ Drug-Eluting Stents؛ Atherosclerosis

مراجع
[1] B.M. O’Connell, E.M. Cunnane, W.J. Denny, G.T. Carroll and M.T. Walsh, “Improving smooth muscle cell exposure to drugs from drug-eluting stents at early time points: a variable compression approach”, Biomechanics and modeling in mechanobiology, Vol. 13, No. 4, pp. 771-781, (2014). [2] T. Shazly, V.B. Kolachalama, J. Ferdous, J.P. Oberhauser, S. Hossainy and E.R. Edelman, “Assessment of material by-product fate from bioresorbable vascular scaffolds”, Annals of biomedical engineering, Vol. 40, No. 4, pp.955-965, (2012). [3] C. Yang, and H.M. Burt, “Drug-eluting stents: factors governing local pharmacokinetics”, Advanced drug delivery reviews, Vol. 58, No. 3, pp.402-411, (2006). [4] R. Mongrain, I. Faik, R.L. Leask, J. RodĆ and O.F. Bertrand, “Effects of diffusion coefficients and struts apposition using numerical simulations for drug eluting coronary stents”, Journal of biomechanical engineering, Vol. 129, No. 5, pp.733-742, (2007). [5] F. Alfonso, R.A. Byrne, F. Rivero and A. Kastrati, “Current treatment of in-stent restenosis”, Journal of the American College of Cardiology, Vol. 63, No. 24, pp.2659-2673, (2014). [6] A. Kastrati, A. Dibra, C. Spaulding, G.J. Laarman, M. Menichelli, M. Valgimigli, E. Di Lorenzo, C. Kaiser, I. Tierala, J. Mehilli and M. Seyfarth, “Meta-analysis of randomized trials on drug-eluting stents vs. bare-metal stents in patients with acute myocardial infarction”, European heart journal, Vol. 28, No. 22, pp.2706-2713, (2007). [7] C. Spaulding, P. Henry, E. Teiger, K. Beatt, E. Bramucci, D. Carrié, M.S. Slama, B. Merkely, A. Erglis, M. Margheri and O. Varenne, “Sirolimus-eluting versus uncoated stents in acute myocardial infarction”, New England Journal of Medicine, Vol. 355, No. 11, pp.1093-1104, (2006). [8] G.J. Laarman, M.J. Suttorp, M.T. Dirksen, L. van Heerebeek, F. Kiemeneij, T. Slagboom, L.R. van der Wieken, J.G. Tijssen, B.J. Rensing and M. Patterson, “Paclitaxel-eluting versus uncoated stents in primary percutaneous coronary intervention”, New England Journal of Medicine, Vol. 355, No. 11, pp.1105-1113, (2006). [9] F. Rikhtegar, E.R. Edelman, U. Olgac, D. Poulikakos and V. Kurtcuoglu, “Drug deposition in coronary arteries with overlapping drug-eluting stents”, Journal of Controlled Release, Vol. 238, pp.1-9, (2016). [10] F. Bozsak, J.M. Chomaz and A.I. Barakat, “Modeling the transport of drugs eluted from stents: physical phenomena driving drug distribution in the arterial wall”, Biomechanics and modeling in mechanobiology, Vol. 13, No. 2, pp.327-347,(2014). [11] D.M. Martin and F.J. Boyle, “Drug-eluting stents for coronary artery disease: a review”, Medical engineering & physics, Vol. 33, No. 2, pp.148-163, (2011). [12] S. McGinty and G. Pontrelli, “A general model of coupled drug release and tissue absorption for drug delivery devices”, Journal of controlled release, Vol. 217, pp.327-336, (2015). [13] B.M. O’Connell and M.T. Walsh, “Demonstrating the influence of compression on artery wall mass transport”, Annals of biomedical Engineering, Vol. 38, No. 4, pp.1354-1366, (2010). [14] G. Pontrelli and F. de Monte, “Mass diffusion through two-layer porous media: an application to the drug-eluting stent”, International Journal of Heat and Mass Transfer, Vol. 50, No. 17, pp.3658-3669, (2007). [15] G. Pontrelli and F. de Monte, “Modeling of mass dynamics in arterial drug-eluting stents”, Journal of Porous Media, Vol. 12, No. 1, pp.19-28, (2009). [16] C.J. Creel, M.A. Lovich and E.R. Edelman, “Arterial paclitaxel distribution and deposition”, Circulation research, Vol. 86, No. 8, pp.879-884, (2000). [17] C.W. Hwang, D. Wu and E.R. Edelman, “Physiological transport forces govern drug distribution for stent-based delivery”, Circulation, Vol. 104, No. 5, pp.600-605, (2001). [18] G. Pontrelli, A. Di Mascio and F. de Monte, “Local mass non-equilibrium dynamics in multi-layered porous media: application to the drug-eluting stent”, International Journal of Heat and Mass Transfer, Vol. 66, pp.844-854, (2013). [19] P. Zunino, C. D’Angelo, L. Petrini, C. Vergara, C. Capelli and F. Migliavacca, “Numerical simulation of drug eluting coronary stents: mechanics, fluid dynamics and drug release”, Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 45, pp.3633-3644, (2009). [20] B. Balakrishnan, J.F. Dooley, G. Kopia and E.R. Edelman, “Intravascular drug release kinetics dictate arterial drug deposition, retention, and distribution” Journal of Controlled Release, Vol. 123, No. 2, pp.100-108, (2007). [21] P. Zunino, “Multidimensional pharmacokinetic models applied to the design of drug-eluting stents”, Cardiovascular Engineering, Vol. 4, No. 2, pp.181-191, (2004). [22] F. Migliavacca, F. Gervaso, M. Prosi, P. Zunino, S. Minisini, L. Formaggia and G. Dubini, “Expansion and drug elution model of a coronary stent”, Computer methods in biomechanics and biomedical engineering, Vol. 10, No. 1, pp.63-73, (2007). [23] E. Cutrì, P. Zunino, S. Morlacchi, C. Chiastra and F. Migliavacca, “Drug delivery patterns for different stenting techniques in coronary bifurcations: a comparative computational study”, Biomechanics and modeling in mechanobiology, pp.1-13, (2013). [24] C. D'Angelo and P. Zunino, “Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport”, ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 45, No. 3, pp.447-476, (2011). [25] S. Chung and K. Vafai, “Effect of the fluid–structure interactions on low-density lipoprotein transport within a multi-layered arterial wall”, Journal of biomechanics, Vol. 45, No. 2, pp.371-381, (2012). [26] V.B. Kolachalama, A.R. Tzafriri, D.Y. Arifin and E.R. Edelman, “Luminal flow patterns dictate arterial drug deposition in stent-based delivery”, Journal of Controlled Release, Vol. 133, No. 1, pp.24-30, (2009). [27] B. Balakrishnan, A.R. Tzafriri, P. Seifert, A. Groothuis, C. Rogers and E.R. Edelman, “Strut position, blood flow, and drug deposition”, Circulation, Vol. 111, No. 22, pp.2958-2965, (2005). [28] V.B. Kolachalama, E.G. Levine and E.R. Edelman, “Luminal flow amplifies stent-based drug deposition in arterial bifurcations”, PloS one, Vol. 4, No. 12, p.e8105, (2009). [29] S. McGinty, S. McKee, C. McCormick and M. Wheel, “Release mechanism and parameter estimation in drug-eluting stent systems: analytical solutions of drug release and tissue transport”, Mathematical Medicine and Biology, p.dqt025, (2014). [30] A. Borghi, E. Foa, R. Balossino, F. Migliavacca and G. Dubini, “Modelling drug elution from stents: effects of reversible binding in the vascular wall and degradable polymeric matrix”, Computer Methods in Biomechanics and Biomedical Engineering, Vol. 11, No. 4, pp.367-377, (2008). [31] G. Vairo, M. Cioffi, R. Cottone, G. Dubini and F. Migliavacca, “Drug release from coronary eluting stents: a multidomain approach”, Journal of Biomechanics, Vol. 43, No. 8, pp.1580-1589, (2010). [32] X. Zhu, D.W. Pack and R.D. Braatz, “Modelling intravascular delivery from drug-eluting stents with biodurable coating: investigation of anisotropic vascular drug diffusivity and arterial drug distribution”, Computer methods in biomechanics and biomedical engineering, Vol. 17, No. 3, pp.187-198, (2014). [33] J.K. Chesnutt and H.C. Han, “Simulation of the microscopic process during initiation of stent thrombosis”, Computers in biology and medicine, Vol. 56, pp.182-191, (2015). [34] S. Wang and K. Vafai, “Analysis of low density lipoprotein (LDL) transport within a curved artery”, Annals of biomedical engineering, Vol. 43, No. 7, pp.1571-1584, (2015). [35] S. Chung and K. Vafai, “Low-density lipoprotein transport within a multi-layered arterial wall—Effect of the atherosclerotic plaque/stenosis”, Journal of biomechanics, Vol. 46, No. 3, pp.574-585, (2013). [36] S. Chung and K. Vafai, “Mechanobiology of low-density lipoprotein transport within an arterial wall—impact of hyperthermia and coupling effects”, Journal of biomechanics, Vol. 47, No. 1, pp.137-147, (2014). [37] N. Zhang, P. Zhang, W. Kang, D. Bluestein and Y. Deng, “Parameterizing the Morse potential for coarse-grained modeling of blood plasma”, Journal of computational physics, Vol. 257, pp.726-736, (2014). [38] N. Yang and K. Vafai, “Low-density lipoprotein (LDL) transport in an artery–A simplified analytical solution”, International Journal of Heat and Mass Transfer, Vol. 51, No. 3, pp.497-505, (2008). [39] F. Khalighi, A. Ahmadi and A. Keramat, “ Water hammer simulation by explicit central finite difference methods in staggered grids”, Journal of Computational and Applied Research in Mechanical Engineering, Vol. 6. No. 2, pp. 69-77, (2016). [40] Suhas V.Patankar, Numerical Heat Transfer and Fluid Flow, McGraw Hill, New York, USA, (1980). [41] M. Alemi and R. Maia, “A comparative study between two numerical solutions of the Navier-Stokes equations”, Journal of Computational and Applied Research in Mechanical Engineering, Vol. 6. No. 2, pp. 1-12, (2016).
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An advection-diffusion multi-layer porous model for stent drug delivery in coronary arteries