Research Papers

Lagrangian Magnetic Particle Tracking Through Stenosed Artery Under Pulsatile Flow Condition

[+] Author and Article Information
Sayan Bose

Department of Mechanical Engineering,
Future Institute of Engineering and Management,
Sonarpur Station Road,
Kolkata 700150, India

Amitava Datta, Ranjan Ganguly

Department of Power Engineering,
Jadavpur University,
Salt Lake Campus,
Kolkata 700098, India

Moloy Banerjee

Department of Mechanical Engineering,
Future Institute of Engineering and Management,
Sonarpur Station Road,
Kolkata 700150, India
e-mail: moloy_kb@yahoo.com

1Corresponding author.

Manuscript received December 5, 2013; final manuscript received February 5, 2014; published online February 26, 2014. Assoc. Editor: Abraham Wang.

J. Nanotechnol. Eng. Med 4(3), 031006 (Feb 26, 2014) (10 pages) Paper No: NANO-13-1085; doi: 10.1115/1.4026839 History: Received December 05, 2013; Revised February 05, 2014

Drug delivery technologies are an important area within biomedicine. Targeted drug delivery aims to reduce the undesired side effects of drug usage by directing or capturing the active agents near a desired site within the body. This is particularly beneficial in, for instance, cancer chemotherapy, where the side effects of general (systemic) drug administration can be severe. Herein, a numerical investigation of unsteady magnetic drug targeting (MDT) using functionalized magnetic microspheres in partly occluded blood vessels is presented considering the effects of particle-fluid coupling on the transport and capture of the magnetic particles. An Eulerian–Lagrangian technique is adopted to resolve the hemodynamic flow and the motion of the magnetic particles in the flow using ansys fluent. An implantable cylindrical permanent magnet insert is used to create the requisite magnetic field. Targeted transport of the magnetic particles in a partly occluded vessel differs distinctly from the same in a regular unblocked vessel. Parametric investigation is conducted and the influence of the flow Re, magnetic insert diameter, and its radial and axial position on the “targeting efficiency” is reported. Analysis shows that there exists an optimum regime of operating parameters for which deposition of the drug-carrying magnetic particles in a predesignated target zone on the partly occluded vessel wall can be maximized. The results provide useful design bases for in vitro set up for the investigation of MDT in stenosed blood vessels.

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Lübbe, A. S., Bergeman, C., Riess, H., Schriever, F., Reichardt, P., Possinger, K., Matthias, M., Dörken, B., Gürtler, R., Hohenberger, P., Haas, N., Sohr, R., Sander, B., Lemke, A., Ohlendorf, D., Huhnt, W., and Huhn, D., 1996, “Clinical Experiences With Magnetic Drug Targeting: A Phase I Study With 4′-Epidoxorubicin in 14 Patients With Advanced Solid Tumors,” Cancer Res., 56, pp. 4686–4693. Available at: http://cancerres.aacrjournals.org/content/57/14/3063.citation [PubMed]
Lübbe, A. S., Alexiou, C., and Bergemann, C., 2001, “Clinical Applications of Magnetic Drug Targeting,” J. Surg. Res., 95, pp. 200–206. [CrossRef] [PubMed]
Häfeli, U. O., Gilmour, K., Zhou, A., Lee, S., and Hayden, M. E., 2007, “Modeling of Magnetic Bandages for Drug Targeting: Button vs. Halbach Arrays,” J. Magn. Magn. Mater., 311, pp. 323–329. [CrossRef]
Torchilin, V. P., 2000, “Drug Targeting,” Eur. J. Pharm. Sci., 11(2), pp. S81–S91. [CrossRef] [PubMed]
Dobson, J., 2006, “Magnetic Nanoparticles for Drug Delivery,” Drug Dev. Res., 67, pp. 55–60. [CrossRef]
Dobson, J., 2006, “Magnetic Nanoparticle-Based Targeting for Drug and Gene Delivery,” Nanomedicine, 1, pp. 31–37. [CrossRef] [PubMed]
Voltairas, P. A., Fotiades, D. I., and Michalis, L. K., 2002, “Hydrodynamics of Magnetic Drug Targeting,” J. Biomech., 35, pp. 813–829. [CrossRef] [PubMed]
Torchilin, V. P., 1995, “Targeting of Drugs and Drug Carriers Within the Cardiovascular System,” Adv. Drug Delivery Rev., 17, pp. 75–101. [CrossRef]
Moulton, K. S., Heller, E., Konerding, M. A., Flynn, E., Palinski, W., and Folkman, J., 1999, “Angiogenesis Inhibitors Endostatin or TNP-470 Reduce Intimal Neovascularization and Plaque Growth in Apolipoprotein E–Deficient Mice,” Circulation, 99, pp. 1726–1732. [CrossRef] [PubMed]
Herbst, R. S., Madden, T. L., Tran, H. T., Blumenschein, G. R., Jr., Meyers, C. A., Seabrooke, L. F., Khuri, F. R., Puduvalli, V. K., Allgood, V., Fritsche, H. A., Jr., Hinton, L., Newman, R. A., Crane, E. A., Fossella, F. V., Dordal, M., Goodin, T., and Hong, W. K., 2002, “Safety and Pharmacokinetic Effects of TNP-470, an Angiogenesis Inhibitor, Combined With Paclitaxel in Patients With Solid Tumors: Evidence for Activity in Non-Small-Cell Lung Cancer,” J. Clin. Oncol., 20, pp. 4440–4447. [CrossRef] [PubMed]
Liu, S., Widom, J., Kemp, C. W., Crews, C. M., and Clardy, J., 1998, “Structure of Human Methionine Aminopeptidase-2 Complexed With Fumagillin,” Science, 282, pp. 1324–1327. [CrossRef] [PubMed]
Lanza, G. M., Yu, X., Winter, P. M., Abendschein, D. R., Karukstis, K. K., Scott, M. J., Chinen, L. K., Fuhrhop, R. W., Scherrer, D. E., and Wickline.S. A., 2002, “A Novel Site-Targeted Ultrasonic Contrast Agent With Broad Biomedical Application,” Circulation, 106, pp. 2842–2867. [CrossRef] [PubMed]
Sousa, J. E., Costa, M. A., Abizaid, A., Abizaid, A. S., Feres, F., Pinto, I. M. F., Seixas, A. C., Staico, R., Mattos, L. A., Sousa, A. G. M. R., Falotico, R., Jaeger, J., Popma, J. J., and Serruys, P. W., 2001, “Lack of Neointimal Proliferation After Implantation of Sirolimus-Coated Stents in Human Coronary Arteries: A Quantitative Coronary Angiography and Three-Dimensional Intravascular Ultrasound Study,” Circulation, 103, pp. 192–204. [CrossRef] [PubMed]
Chen, H., Kaminski, M. D., Pytel, P., MacDonald, L., and Rosengart, A. J., 2008, “Capture of Magnetic Carriers Within Large Arteries Using External Magnetic Fields,” J. Drug Targeting, 16, pp. 262–271. [CrossRef]
Alexiou, C., Arnold, W., Klein, R. J., Parak, F. G., Hulin, P., Bergemann, C., Erhardt, W., Wagenpfeil, S., and Lübbe, A. S., 2000, “Locoregional Cancer Treatment With Magnetic Drug Targeting,” Cancer Res., 60, pp. 6641–6648. Available at: http://cancerres.aacrjournals.org/content/60/23/6641.long [PubMed]
Jordan, A., Scholz, R., Maier-Hauff, K., Johannsen, M., Wust, P., Nadobny, J., Schirra, H., Schmidt, H., Deger, S., Loening, S., Lanksch, W., and Felix, R., 2001, “Presentation of a New Magnetic Field Therapy System for the Treatment of Human Solid Tumors With Magnetic Fluid Hyperthermia,” J. Magn. Magn. Mater., 225(1-2), pp. 118–126. [CrossRef]
Johannsen, M., Gneveckow, U., Eckelt, L., Feussner, A., WaldöFner, N., Scholz, R., Deger, S., Wust, P., Loening, S. A., and Jordan, A., 2005, “Clinical Hyperthermia of Prostate Cancer Using Magnetic Nanoparticles: Presentation of a New Interstitial Technique,” Int. J. Hyperthermia, 21, pp. 637–652. [CrossRef] [PubMed]
Pankhurst, Q. A., Connolly, J., Jones, S. K., and Dobson, J., 2003, “Applications of Magnetic Nanoparticles in Biomedicine,” J. Phys. D: Appl. Phys., 36, pp. R167–R181. [CrossRef]
Avilés, M. O., Ebner, A. D., and Ritter, J. A., 2008, “Implant Assisted-Magnetic Drug Targeting: Comparison of in vitro Experiments With Theory,” J. Magn. Magn. Mater., 320, pp. 2704–2713. [CrossRef]
Forbes, Z. G., Yellen, B. B., Halverson, D. S., Fridman, G., Barbee, K. A., and Friedman, G., 2008, “Validation of High Gradient Magnetic Field Based Drug Delivery to Magnetizable Implants Under Flow,” IEEE Trans. Biomed. Eng., 55, pp. 643–649. [CrossRef] [PubMed]
FurlaniE. J., and Furlani, E. P., 2007, “A Model for Predicting Magnetic Targeting of Multifunctional Particles in the Microvasculature,” J. Magn. Magn. Mater., 312, pp. 187–201. [CrossRef]
Yellen, B. B., Forbes, Z. G., Halverson, D. S., Fridman, G., Barbee, K. A., Chorny, M., Levy, R., and Friedman, G., 2005, “Targeted Drug Delivery to Magnetic Implants for Therapeutic Applications,” J. Magn. Magn. Mater., 293, pp. 647–662. [CrossRef]
Ku, D. N., Giddens, D. P., Zarins, C. K., and Glagov, S., 1985, “Pulsatile Flow and Atherosclerosis in the Human Carotid Bifurcation,” Arteriosclerosis, 5, pp. 293–302. [CrossRef] [PubMed]
Haverkort, J. W., Kenjereš, S., and Kleijn, C. R., 2009, “Computational Simulations of Magnetic Particle Capture in Arterial Flows,” Ann. Biomed. Eng., 37, pp. 2436–2444. [CrossRef] [PubMed]
Neofytou, P., and Tsangaris, S., 2004, “Computational Haemodynamics and the Effects of Blood Rheological Models on the Flow Through an Arterial Stenosis,” European Congress on Computational Methods in Applied Sciences and Engineering.
Banerjee, M. K., Ganguly, R., and Datta, A., 2010, “Magnetic Drug Targeting in Partly Occluded Blood Vessels Using Magnetic Microspheres,” ASME J. Nanotechnol. Eng. Med., 1(4), p. 041005. [CrossRef]
Morsi, S. A., and Alexander, A. J., 1972, “An Investigation of Particle Trajectories in Two-Phase Flow Systems,” J. Fluid Mech., 55(2) pp. 193–208. [CrossRef]
Modak, N., Datta, A., and Ganguly, R., 2009, “Cell Separation in a Microfluidic Channel Using Magnetic Microspheres,” Microfluid. Nanofluid., 6, pp. 647–660. [CrossRef]
Gerber, R., Takayasu, M., and Frieslander, FJ., 1983, “Generalization of HGMS Theory: the Capture of Ultrafine Particles,” IEEE Trans. Magn., 19(5), pp. 2115–2117. [CrossRef]
Merrill, E. W., 1965, “Rheology of Human Blood and Some Speculations on its Role in Vascular Homeostasis,” Biomechanical Mechanisms in Vascular Homeostasis and Intravascular Thrombosis, P. N.Sawyer, ed., Appleton-Century-Crofts, New York, pp. 121–137.
BergerS. A., and JouL. D., 2000, “Flow in Stenotic Vessels,” Annu. Rev. Fluid Mech., 32, pp. 347–382. [CrossRef]
ansys® Academic CFD Research 14.5, Ansys, Inc.
Banerjee, M. K., Ganguly, R., and Datta, A., 2012, “Effect of Pulsatile Flow Waveform and Womersley Number on the Flow in Stenosed Arterial Geometry,” ISRN Biomath., 2012, pp. 1–17. [CrossRef]
Sinha, A., Ganguly, R., and Puri, I. K., 2009, “Magnetic Separation From Superparamagnetic Particle Suspensions,” J. Magn. Magn. Mater., 321, pp. 2251–2267. [CrossRef]
Ganguly, R., Gaind, A. P., and Puri, I. K., 2005, “A Strategy for the Assembly of Three-Dimensional Mesoscopic Structures Using a Ferrofluid,” Phys. Fluids, 17, pp. 1–9. Available at: http://www.researchgate.net/publication/228332503_A_strategy_for_the_assembly_of_3-D_mesoscopic_structures_using_a_ferrofluid


Grahic Jump Location
Fig. 1

(a) Geometrical configuration of the occlusion with the cylindrical magnet for drug targeting and (b) magnetic field produced by the insert (flux lines superposed on the |H| contours)

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Fig. 2

3D geometrical model of the stenosis

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Fig. 3

Contour plot of total pressure and the arrow lines indicating the stream lines for the base case

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Fig. 4

Particle capture contour for the base case

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Fig. 5

Particle capture histogram for the base case along axial direction

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Fig. 6

Angular distribution of particles for the base case at an axial location of z = 5.5d

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Fig. 7

Angular distribution of all the particles that are captured at the wall for the base case

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Fig. 8

(a) Variation of TE with particle diameter (all the other parameters are same as the base case), (b) particle capture histogram for different Re along axial direction (small sized particle), and (c) particle capture histogram for different Re along axial direction (large sized particle)

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Fig. 9

(a) Particle capture histogram for different Re along axial direction and (b) variation of TE with flow Re (all the other parameters are same as the base case)

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Fig. 10

(a) Variation of TE with radius of the insert (all the other parameters are same as the base case) and (b) particle capture histogram for different insert radius

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Fig. 11

(a) Variation of TE with flow axial position of the insert (all the other parameters are same as the base case) and (b) particle capture histogram for different axial location of the magnet

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Fig. 12

Variation of TE with radial position of the insert (all the other parameters are same as the base case).

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Fig. 13

(a) Variation of TE with effective susceptibility of the magnetic material (all the other parameters are same as the base case) and (b) particle capture histogram for different susceptibility of the magnetic material



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