Magnetic nanoparticle drug targeting to patient-specific atherosclerosis: effects of magnetic field intensity and configuration

doi:10.1007/s10483-020-2566-9

Abstract

Abstract: Nanoparticle-mediated drug delivery is recognized as a promising option for targeted treatment of atherosclerosis. In this paper, the Eulerian-Lagrangian technique is adopted to simulate the delivery of drug-loaded nanoparticles to patient-specific atherosclerotic plaque with the aid of an external magnetic field. Plaques and vascular walls are introduced as porous media formulated by the Darcy-Forchheimer model in this targeted transport process. The results demonstrate that the delivery efficiency of particles to atherosclerosis depends on the external magnetic field, such as configuration and intensity, in which the configuration angle of the current wire is a key factor and the double current wires have advantages over the single current wire. Meanwhile, the delivery efficiency gradually decreases as the distance between the plaque cap and the current wire increases. Further, although augmenting the current or magnetic susceptibility can generally improve the delivery efficiency of nanoparticles, this increase is not apparent when small-sized nanoparticles are employed as drug transport particles. The results obtained can potentially serve as the guideline to optimize regimens for the targeted therapy of atherosclerosis.

Key words: atherosclerosis, nanoparticle-mediated drug delivery, magnetic field, targeted delivery efficacy, computational fluid dynamics

2010 MSC Number:

76D05

Xuelan ZHANG, Mingyao LUO, Peilai TAN, Liancun ZHENG, Chang SHU. Magnetic nanoparticle drug targeting to patient-specific atherosclerosis: effects of magnetic field intensity and configuration. Applied Mathematics and Mechanics (English Edition), 2020, 41(2): 349-360.

TrendMD

References

[1] WEBER, C. and NOELS, H. Atherosclerosis:current pathogenesis and therapeutic options. Nature Medicine, 17(11), 1410-1422(2011)
[2] LOBATTO, M. E., FUSTER, V., FAYAD, Z. A., and MULDER, W. J. Perspectives and opportunities for nanomedicine in the management of atherosclerosis. Nature Reviews Drug Discovery, 10(11), 963(2011)
[3] CORTI, R. and FUSTER, V. Imaging of atherosclerosis:magnetic resonance imaging. European Heart Journal, 32(14), 1709-1719(2011)
[4] SUN, X., LI, W., ZHANG, X., QI, M., ZHANG, Z., ZHANG, X. E., and CUI, Z. In vivo targeting and imaging of atherosclerosis using multifunctional virus-like particles of simian virus 40. Nano Letters, 16(10), 6164-6171(2016)
[5] VINK, A., SCHONEVELD, A. H., RICHARD, W., DE KLEIJN, D. P., FALK, E., BORST, C., and PASTERKAMP, G. Plaque burden, arterial remodeling and plaque vulnerability:determined by systemic factors? Journal of the American College of Cardiology, 38(3), 718-723(2001)
[6] GHOLIPOUR, A., GHAYESH, M. H., ZANDER, A., and MAHAJAN, R. Three-dimensional biomechanics of coronary arteries. International Journal of Engineering Science, 130, 93-114(2018)
[7] ZHANG, J., ZU, Y., DHANASEKARA, C. S., LI, J., WU, D., FAN, Z., and WANG, S. Detection and treatment of atherosclerosis using nanoparticles. Wiley Interdisciplinary Reviews:Nanomedicine and Nanobiotechnology, 9(1), e1412(2017)
[8] SCHIENER, M., HOSSANN, M., VIOLA, J. R., ORTEGA-GOMEZ, A., WEBER, C., LAUBER, K., and SOEHNLEIN, O. Nanomedicine-based strategies for treatment of atherosclerosis. Trends in Molecular Medicine, 20(5), 271-281(2014)
[9] LÜBBE, A. S., ALEXIOU, C., and BERGEMANN, C. Clinical applications of magnetic drug targeting. Journal of Surgical Research, 95(2), 200-206(2001)
[10] TORCHILIN, V. P. Drug targeting. European Journal of Pharmaceutical Sciences, 11, S81-S91(2000)
[11] VASIR, J. K. and LABHASETWAR, V. Targeted drug delivery in cancer therapy. Technology in Cancer Research and Treatment, 4(4), 363-374(2005)
[12] CREGG, P. J., MURPHY, K., and MARDINOGLU, A. Inclusion of interactions in mathematical modelling of implant assisted magnetic drug targeting. Applied Mathematical Modelling, 36(1), 1-34(2012)
[13] ALEXIOU, C., ARNOLD, W., KLEIN, R. J., PARAK, F. G., HULIN, P., BERGEMANN, C., and LUEBBE, A. S. Locoregional cancer treatment with magnetic drug targeting. Cancer Research, 60(23), 6641-6648(2000)
[14] ALEXIOU, C., JURGONS, R., SCHMID, R., ERHARDT, W., PARAK, F., BERGEMANN, C., and IRO, H. Magnetic drug targeting-a new approach in locoregional tumor therapy with chemotherapeutic agents. Experimental Animal Studies, 53(7), 618-622(2005)
[15] IJAZ, S. and NADEEM, S. Examination of nanoparticles as a drug carrier on blood flow through catheterized composite stenosed artery with permeable walls. Computer Methods and Programs in Biomedicine, 133, 83-94(2016)
[16] FURLANI, E. P. and NG, K. C. Analytical model of magnetic nanoparticle transport and capture in the microvasculature. Physical Review E, 73(6), 061919(2006)
[17] HAVERKORT, J. W., KENJEREŠ, S., and KLEIJN, C. R. Magnetic particle motion in a Poiseuille flow. Physical Review E, 80(1), 016302(2009)
[18] HAVERKORT, J. W., KENJEREŠ, S., and STUART, D. C. Computational simulations of mag-netic particle capture in simplified and realistic arterial flows:towards optimized magnetic drug targeting. World Congress on Medical Physics and Biomedical Engineering, Springer, Berlin, 1006-1009(2009)
[19] KENJEREŠ, S. and RIGHOLT, B. W. Simulations of magnetic capturing of drug carriers in the brain vascular system. International Journal of Heat and Fluid Flow, 35, 68-75(2012)
[20] LARIMI, M. M., RAMIAR, A., and RANJBAR, A. A. Numerical simulation of magnetic nanoparticles targeting in a bifurcation vessel. Journal of Magnetism and Magnetic Materials, 362, 58-71(2014)
[21] LÜBBE, A. S., BERGEMANN, C., RIESS, H., SCHRIEVER, F., REICHARDT, P., POSSINGER, K., MATTHIAS, M., DÖRKEN, B., HERRMANN, F., GÜRTLER, R., HOHEN-BERGER, P., HAAS, N., SOHR, R., SANDER, B., LEMKE, A. J., OHLENDORF, D., HUHNT, W., and HUHN, D. Clinical experiences with magnetic drug targeting:a phase I study with 4'-epidoxorubicin in 14 patients with advanced solid tumors. Cancer Research, 56(20), 4686-4693(1996)
[22] LÜBBE, A. S., BERGEMANN, C., HUHNT, W., FRICKE, T., RIESS, H., BROCK, J. W., and HUHN, D. Preclinical experiences with magnetic drug targeting:tolerance and efficacy. Cancer Research, 56(20), 4694-4701(1996)
[23] CHEN, H., EBNER, A. D., KAMINSKI, M. D., ROSENGART, A. J., and RITTER, J. A. Analysis of magnetic drug carrier particle capture by a magnetizable intravascular stent-2:parametric study with multi-wire two-dimensional model. Journal of Magnetism and Magnetic Materials, 293(1), 616-632(2005)
[24] UDREA, L. E., STRACHAN, N. J., BǍDESCU, V., and ROTARIU, O. An in vitro study of magnetic particle targeting in small blood vessels. Physics in Medicine & Biology, 51(19), 4869-4881(2006)
[25] JURGONS, R., SELIGER, C., HILPERT, A., TRAHMS, L., ODENBACH, S., and ALEXIOU, C. Drug loaded magnetic nanoparticles for cancer therapy. Journal of Physics:Condensed Matter, 18(38), S2893(2006)
[26] ALKSNS, J. F., FINGERHUT, A. G., and RAND, R. W. Magnetic probe for the stereotactic thrombosis of intracranial aneurysms. Journal of Neurology, Neurosurgery, and Psychiatry, 30(2), 159-162(1967)
[27] GOODWIN, S., PETERSON, C., HOH, C., and BITTNER, C. Targeting and retention of magnetic targeted carriers (MTCs) enhancing intra-arterial chemotherapy. Journal of Magnetism and Magnetic Materials, 194(1-3), 132-139(1999)
[28] ALEXIOU, C., SCHMIDT, A., KLEIN, R., HULIN, P., BERGEMANN, C., and ARNOLD, W. Magnetic drug targeting:biodistribution and dependency on magnetic field strength. Journal of Magnetism and Magnetic Materials, 252, 363-366(2002)
[29] TAHIR, S. and MITAL, M. Numerical investigation of laminar nanofluid developing flow and heat transfer in a circular channel. Applied Thermal Engineering, 39, 8-14(2012)
[30] ANSYS FLUENT THEROY GUIDE, RELEASE 19.1, ANSYS, Inc. (2019)
[31] JOHNSTON, B. M., JOHNSTON, P. R., CORNEY, S., and KILPATRICK, D. Non-Newtonian blood flow in human right coronary arteries:steady state simulations. Journal of Biomechanics, 37(5), 709-720(2004)
[32] BALLYK, P. D., STEINMAN, D. A., and ETHIER, C. R. Simulation of non-Newtonian blood flow in an end-to-side anastomosis. Biorheology, 31(5), 565-586(1994)
[33] KHAKPOUR, M. and VAFAI, K. Critical assessment of arterial transport models. International Journal of Heat and Mass Transfer, 51(3/4), 807-822(2008)
[34] GOVINDARAJU, K., KAMANGER, S., BADRUDDIN, I. A., VISWANATHAN, G. N., BADARUDIN, A., and AHMED, N. S. Effect of porous media of the stenosed artery wall to the coronary physiological diagnostic parameter:a computational fluid dynamic analysis. Atherosclerosis, 233(2), 630-635(2014)
[35] PROSI, M., ZUNINO, P., PERKTOLD, K., and QUARTERONI, A. Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls:a new methodology for the model set up with applications to the study of disturbed lumenal flow. Journal of Biomechanics, 38(4), 903-917(2005)
[36] LI, X., SAPP, E., CHASE, K., COMER-TIERNEY, L. A., MASSO, N., ALEXANDER, J., and ARONIN, N. Disruption of Rab11 activity in a knock-in mouse model of Huntington's disease. Neurobiology of Disease, 36(2), 374-383(2009)
[37] BANERGEE, M. K., DATTA, A., and GANGULY, R. Magnetic drug targeting in partly occluded blood vessels using magnetic microspheres. Journal of Nanotechnology in Engineering and Medicine, 1(4), 041005(2010)