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Cited by 12Characterization and Applications of Magnetic NanoparticlesNanoparticle-Based Drug DeliveryMicro and Nano Robotics

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Towards Steering Magnetic Nanoparticles in Drug Targeting Using a Linear Halbach Array

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Thalmayer, Angelika S., Zeising, Samuel, Lübke, Maximilian, Fischer, Georg·2023·Advances in Radio Science
DOI 10.5194/ars-20-93-2023

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Abstract

Magnetic nanoparticles offer numerous promising biomedical applications, e.g. magnetic drug targeting. Here, magnetic drug carriers inside the human body are directed towards tumorous tissue by an external magnetic field. However, the success of the treatment strongly depends on the amount of drug carriers, reaching the desired tumor region. This steering process is still an open research topic. In this paper, the previous study of a linear Halbach array is extended by an additional Halbach array with different magnetization angles between two adjacent magnets and investigated numerically using COMSOL Multiphysics. The Halbach arrays are arranged with permanent magnets and generate a relatively large region of a moderately homogeneous, high magnetic field while having a strong gradient. This results in a strong magnetic force, trapping many particles at the magnets. Afterwards, to avoid particle agglomeration, the Halbach array is flipped to its weak side. Therefore, the magnetic flux density, its gradient and the resulting magnetic force are computed for the different Halbach arrays with different constellations of magnetization directions. Since the calculation of the gradient can lead to high errors due to the used mesh in Comsol, the gradient was derived analytically by investigating two different fitting functions. Overall, the array with a 90 ∘ shifted magnetization performs best, changing the magnetic sides of the array easily and deflecting more particles. Besides, the results revealed that the magnetic force dominates directly underneath the magnets compared to the other existing forces on the SPIONS. Summarized, the results depict that the magnetic force and, thus, the region where the particles are able to get washed out, can be adjusted using low-cost permanent magnets.

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  • Halbach arrays generate the strongest magnetic force over a large distance.

    “In the literature, so-called Halbach arrays have proven to be particularly suitable for particle steering, as they generate the strongest magnetic force over a large distance [7][8][9].”

    From Experimental and Simulative Analysis of Magnetic Nanoparticle Accumulation Using Various Halbach Arrays (2024) · cites this paper as [7]

    Section 2.1 reports stronger magnetic force from a linear Halbach array than from an alternating-magnetization array. Section 3.3 says the gradient on its strong side remains high over a larger distance, but does not establish that Halbach arrays generate the strongest magnetic force over a large distance compared with other configurations. Page numbers are unavailable in our copy. (LLM, conf=0.84)

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Research works printed but not linked: 32

  1. Alexiou, C., Diehl, D., Henninger, P., Iro, H., Rockelein, R., Schmidt, W., and Weber, H.: A High Field Gradient Magnet for Magnetic Drug Targeting, IEEE T. Appl. Supercon., 16, 1527–1530, 10.1109/TASC.2005.864457, 2006. · DOI
  2. Alnaimat, F., Karam, S., Mathew, B., and Mathew, B.: Magnetophoresis and Microfluidics: A Great Union, IEEE Nanotechnol. Mag., 14, 24–41, 10.1109/MNANO.2020.2966029, 2020. · DOI
  3. Baun, O. and Blümler, P.: Permanent magnet system to guide superparamagnetic particles, J. Magn. Magn. Mater., 439, 294–304, 10.1016/j.jmmm.2017.05.001, 2017. · DOI
  4. Bjørk, R. and Insinga, A. R.: A topology optimized switchable permanent magnet system, J. Magn. Magn. Mater., 465, 106–113, 10.1016/j.jmmm.2018.05.076, 2018. · DOI
  5. Bjørk, R., Bahl, C., Smith, A., and Pryds, N.: Comparison of adjustable permanent magnetic field sources, J. Magn. Magn. Mater., 322, 3664–3671, 10.1016/j.jmmm.2010.07.022, 2010. · DOI
  6. Blümler, P.: Magnetic Guiding with Permanent Magnets: Concept, Realization and Applications to Nanoparticles and Cells, Cells, 10, 2708, 10.3390/cells10102708, 2021. · DOI
  7. Cullity, B. D. and Graham, C. D.: Introduction to Magnetic Materials, 1st edn., John Wiley & Sons, Inc, Hoboken, NJ, USA, 10.1002/9780470386323, 2008. · DOI
  8. Fink, M., Rupitsch, S. J., Lyer, S., and Ermert, H.: Quantitative Determination of Local Density of Iron Oxide Nanoparticles Used for Drug Targeting Employing Inverse Magnetomotive Ultrasound, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 68, 2482–2495, 10.1109/TUFFC.2021.3068791, 2021. · DOI
  9. Hilton, J. E. and McMurry, S. M.: An adjustable linear Halbach array, J. Magn. Magn. Mater., 324, 2051–2056, 10.1016/j.jmmm.2012.02.014, 2012. · DOI · Paper page
  10. Hoshiar, A. K., Le, T.-A., Amin, F. U., Kim, M. O., and Yoon, J.: Studies of aggregated nanoparticles steering during magnetic-guided drug delivery in the blood vessels, J. Magn. Magn. Mater., 427, 181–187, 10.1016/j.jmmm.2016.11.016, 2017. · DOI
  11. Ijiri, Y., Poudel, C., Williams, P. S., Moore, L. R., Orita, T., and Zborowski, M.: Inverted Linear Halbach Array for Separation of Magnetic Nanoparticles, IEEE T. Magn., 49, 3449–3452, 10.1109/TMAG.2013.2244577, 2013. · DOI
  12. Jackson, J. D.: Classical electrodynamics, 3rd edn., John Wiley & Sons, New York, USA, ISBN 978-0-47130-932-1, 1998.
  13. Kang, J. H., Driscoll, H., Super, M., and Ingber, D. E.: Application of a Halbach magnetic array for long-range cell and particle separations in biological samples, Appl. Phys. Lett., 108, 213702, 10.1063/1.4952612, 2016. · DOI · Paper page
  14. Kim, Y., Chae, J. K., Lee, J.-H., Choi, E., Lee, Y. K., and Song, J.: Free manipulation system for nanorobot cluster based on complicated multi-coil electromagnetic actuator, IEEE T. Magn., 43, 2956–2958, 10.1109/TMAG.2007.893798, 2021. · DOI
  15. Mues, B., Bauer, B., Roeth, A. A., Ortega, J., Buhl, E. M., Radon, P., Wiekhorst, F., Gries, T., Schmitz-Rode, T., and Slabu, I.: Nanomagnetic Actuation of Hybrid Stents for Hyperthermia Treatment of Hollow Organ Tumors, Nanomaterials-Basel, 11, 618, 10.3390/nano11030618, 2021. · DOI
  16. Myrovali, E., Papadopoulos, K., Iglesias, I., Spasova, M., Farle, M., Wiedwald, U., and Angelakeris, M.: Long-Range Ordering Effects in Magnetic Nanoparticles, ACS Appl. Mater. Inter., 13, 21602–21612, 10.1021/acsami.1c01820, 2021. · DOI
  17. Nacev, A., Komaee, A., Sarwar, A., Probst, R., Kim, S. H., Emmert-Buck, M., and Shapiro, B.: Towards Control of Magnetic Fluids in Patients: Directing Therapeutic Nanoparticles to Disease Locations, IEEE Contr. Syst. Mag., 32, 32–74, 10.1109/MCS.2012.2189052, 2012. · DOI
  18. Park, M., Le, T.-A., Eizad, A., and Yoon, J.: A Novel Shared Guidance Scheme for Intelligent Haptic Interaction Based Swarm Control of Magnetic Nanoparticles in Blood Vessels, IEEE Access, 8, 106714–106725, 10.1109/ACCESS.2020.3000329, 2020. · DOI
  19. Peng, J. and Zhou, Y.: Modeling and Analysis of a New 2-D Halbach Array for Magnetically Levitated Planar Motor, IEEE T. Magn., 49, 618–627, 10.1109/TMAG.2012.2210435, 2013. · DOI
  20. Sakuma, H. and Nakagawara, T.: Optimization of rotation patterns of a mangle-type magnetic field source using covariance matrix adaptation evolution strategy, J. Magn. Magn. Mater., 527, 167752, 10.1016/j.jmmm.2021.167752, 2021. · DOI · Paper page
  21. Shen, Y. and Zhu, Z.-Q.: General analytical model for calculating electromagnetic performance of permanent magnet brushless machines having segmented Halbach array, IET Electr. Syst. Transp., 3, 57–66, 10.1049/iet-est.2012.0055, 2013. · DOI
  22. Shiriny, A. and Bayareh, M.: On magnetophoretic separation of blood cells using Halbach array of magnets, Meccanica, 55, 1903–1916, 10.1007/s11012-020-01225-y, 2020. · DOI
  23. Sim, M.-S. and Ro, J.-S.: Semi-Analytical Modeling and Analysis of Halbach Array, Energies, 13, 1252, 10.3390/en13051252, 2020. · DOI
  24. Stevens, M., Liu, P., Niessink, T., Mentink, A., Abelmann, L., and Terstappen, L.: Optimal Halbach Configuration for Flow-through Immunomagnetic CTC Enrichment, Diagnostics, 11, 1020, 10.3390/diagnostics11061020, 2021. · DOI
  25. Thalmayer, A., Zeising, S., Fischer, G., and Kirchner, J.: Investigation of Particle Steering for Different Cylindrical Permanent Magnets in Magnetic Drug Targeting, in: Proceedings of 7th International Electronic Conference on Sensors and Applications (MDPI), Basel, Switzerland, 13–30 November 2020, p. 8269, 10.3390/ecsa-7-08269, 2020. · DOI
  26. Thalmayer, A. S., Zeising, S., Fischer, G., and Kirchner, J.: Steering Magnetic Nanoparticles by Utilizing an Adjustable Linear Halbach Array, in: 2021 Kleinheubach Conference, Miltenberg, Germany, 28–30 September 2021, 1–4, 10.23919/IEEECONF54431.2021.9598436, 2021. · DOI · Paper page
  27. Tietze, R., Lyer, S., Dürr, S., Struffert, T., Engelhorn, T., Schwarz, M., Eckert, E., Göen, T., Vasylyev, S., Peukert, W., Wiekhorst, F., Trahms, L., Dörfler, A., and Alexiou, C.: Efficient drug-delivery using magnetic nanoparticles–biodistribution and therapeutic effects in tumour bearing rabbits, Nanomed.-Nanotechnol., 9, 961–971, 10.1016/j.nano.2013.05.001, 2013. · DOI · Paper page
  28. Vogel, P., Kampf, T., Herz, S., Ruckert, M. A., Bley, T. A., and Behr, V. C.: Adjustable Hardware Lens for Traveling Wave Magnetic Particle Imaging, IEEE T. Magn., 56, 1–6, 10.1109/TMAG.2020.3023686, 2020. · DOI
  29. Wei, W. and Wang, Z.: Investigation of Magnetic Nanoparticle Motion under a Gradient Magnetic Field by an Electromagnet, J. Nanomater., 2018, 1–5, 10.1155/2018/6246917, 2018. · DOI
  30. Zaloga, J., Janko, C., Nowak, J., Matuszak, J., Knaup, S., Eberbeck, D., Tietze, R., Unterweger, H., Friedrich, R. P., Duerr, S., Heimke-Brinck, R., Baum, E., Cicha, I., Dörje, F., Odenbach, S., Lyer, S., Lee, G., and Alexiou, C.: Development of a lauric acid/albumin hybrid iron oxide nanoparticle system with improved biocompatibility, Int. J. Nanomed., 9, 4847–4866, 10.2147/IJN.S68539, 2014. · DOI
  31. Zhang, H. S., Deng, Z. X., Yang, M. L., Zhang, Y., Tuo, J. Y., and Xu, J.: Analytical Prediction of Halbach Array Permanent Magnet Machines Considering Finite Tooth Permeability, IEEE T. Magn., 56, 1–10, 10.1109/TMAG.2020.2982844, 2020. · DOI
  32. Zhang, X., Li, Y. G., Cheng, H., and Liu, H. K.: Analysis of the Planar Magnetic Field of Linear Permanent Magnet Halbach Array, Appl. Mech. Mater., 66–68, 1336–1341, 10.4028/www.scientific.net/AMM.66-68.1336, 2011. · DOI

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Metadata

Authors
Thalmayer, A. S., Zeising, S., Lübke, M., & Fischer, G.
Affiliations
Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
Corresponding author
  • Thalmayer, Angelika S.
  • Zeising, Samuel
  • Lübke, Maximilian
  • Fischer, Georg
ORCID
Venue
Advances in Radio Science
Publisher
Copernicus GmbH
Published
2023-03-21
Volume
20
Issue
0
Pages
93-104
ISSN
  • 1684-9965 (ISSN-L)
  • 1684-9973
DOI
10.5194/ars-20-93-2023
OpenAlex
W4328130045
Cited by
12
References
0
Citations by year
2026: 4 · 2025: 1 · 2024: 3 · 2023: 4
FWCI
0.92
Type
journal article
Language
en
Open access
Licence
Locations
  • Advances in radio science (publishedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • Figshare (submittedVersion, cc-by)
Topics
  • Physical Sciences › Engineering › Biomedical Engineering › Characterization and Applications of Magnetic Nanoparticles
  • Physical Sciences › Materials Science › Biomaterials › Nanoparticle-Based Drug Delivery
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Micro and Nano Robotics
Keywords
magnetic nanoparticles, magnetic drug delivery, Halbach array, permanent magnets, magnetic force, superparamagnetic iron oxide nanoparticles, magnetization angle, particle agglomeration, tumor targeting, magnetic field homogeneity

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