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Optimizing Heating Efficiency of Hyperthermia: Specific Loss Power of Magnetic Sphere Composed of Superparamagnetic Nanoparticles

By Malka N. Halgamuge and Tao Song
Progress In Electromagnetics Research B, Vol. 87, 1-17, 2020


Magnetic nanoparticle (MNP) based thermal therapies have shown importance in clinical applications. However, it lacks a compromise between its robustness and limitations. We developed theoretical strategies to enhance the heating efficiency, which could be utilized in thermal therapies and calculated parameter dependence for superparamagnetic MNPs (approximative ellipsoid-shaped) within a sphere-shaped ball. Then we calculated specific loss power (SLP) for magnetic particles in a magnetic ball. The dependency of features of the nanoparticles (such as mean particle size, a number of particles, frequency and the amplitude of the exposed field, relaxation time, and volume gap between particles and a sphere-shaped ball) on the SLP or the heating effect in superparamagnetic MNPs was analyzed. In this study, optimal parameter values were calculated using Kneedle Algorithm as the optimization technique to represent the accurate heating efficiency. The influence of a number of particles in a sphere-shaped ball shows that SLP of magnetic particles increases with the increasing number of particles (N); however, after N = 10 particles, the SLP increment is insignificant. The most remarkable result arising from this analysis is that when particles are more closer together (less volume gap of a sphere-shaped ball), high SLP is found for the same number of particles. This model also predicts that the frequency dependency on the SLP is negligible when the frequency is higher than 10 kHz depending on the size of a sphere-shaped ball and nanoparticle parameters. This analysis has shown that the SLP of MNPs in a sphere-shaped ball strongly depends on magnetic parameters and properties of the particles. In brief, we have demonstrated, for the first time, impact on SLP of the accumulation of ellipsoid-shaped superparamagnetic nanoparticles into a sphere-shaped ball. This finding has essential suggestions for developing links between heating properties with loose aggregate and dense aggregate scenarios in the superparamagnetic condition.


Malka N. Halgamuge and Tao Song, "Optimizing Heating Efficiency of Hyperthermia: Specific Loss Power of Magnetic Sphere Composed of Superparamagnetic Nanoparticles," Progress In Electromagnetics Research B, Vol. 87, 1-17, 2020.


    1. Dennis, C. L. and R. Ivkov, "Physics of heat generation using magnetic nanoparticles for hyperthermia," Int. J. Hyperthermia, Vol. 29, No. 8, 715-729, 2013.

    2. Rosensweig, R. E., "Heating magnetic fluid with alternating magnetic field," Journal of Magnetism and Magnetic Materials, Vol. 252, 370-374, 2002.

    3. Hergt, R., R. Hiergeist, I. Hilger, W. A. Kaiser, and Y. Lapatnikov, "Maghemite nanoparticles with very high ac-losses for application in rf-magnetic hyperthermia," Journal of Magnetism & Magnetic Materials, Vol. 270, No. 3, 345-357, 2004.

    4. Hergt, R. and S. Dutz, "Magnetic particle hyperthermia - biophysical limitations of a visionary tumour therapy," Journal of Magnetism and Magnetic Materials, Vol. 311, 187-192, 2006.

    5. Glockl, G., R. Hergt, M. Zeisberger, S. Dutz, S. Nagel, and W. Weitschies, "The effect of field parameters, nanoparticle properties and immobilization on the specific heating power in magnetic particle hyperthermia," Journal of Physics Condensed Matter, Vol. 18, S2935-S2949, 2006.

    6. Wang, X., J. Tang, and L. Shi, "Induction heating of magnetic fluids for hyperthermia treatment," IEEE Transactions on Magnetics, Vol. 46, No. 4, 2010.

    7. Dutz, S. and R. Hergt, "Magnetic nanoparticle heating and heat transfer on a microscale: Basic principles, realities and physical limitations of hyperthermia for tumour therapy," Int. J. Hyperthermia, Vol. 29, No. 8, 790-800, 2013.

    8. Deatsch, A. E. and B. A. Evans, "Heating efficiency in magnetic nanoparticle hyperthermia," Journal of Magnetism and Magnetic Materials, Vol. 354, 163-172, 2014.

    9. Noh, S., S. Moon, T. Shin, Y. Lim, and J. Cheon, "Recent advances of magneto-thermal capabilities of nanoparticles: From design principles to biomedical applications," Nanotoday, Vol. 13, 61-76, April 2017.

    10. Saucier, R., Shape factor modeling and simulation, US Army Research Laboratory, Tech. Rep. ARL-TR-7707, June 2016.

    11. Golneshan, A. A. and M. Lahonian, "The effect of magnetic nanoparticle dispersion on temperature distribution in a spherical tissue in magnetic fluid hyperthermia using the lattice boltzmann method," Int. J. Hyperthermia, Vol. 27, No. 3, 266-274, May 2011.

    12. Moise, S., E. Cespedes, D. Soukup, J. Byrne, A. E. Haj, and N. Telling, "The cellular magnetic response and biocompatibility of biogenic zinc- and cobalt-doped magnetite nanoparticles," Nature Scientific Reports, Vol. 7, 1-11, 2017.

    13. Neel, L., "Influence des fluctuations thermiques a laimantation des particules ferromagnetiques," C. R. Acad. Science, Vol. 228, 664-668, 1949.

    14. Frenkel, J., The Kinetic Theory of Liquids, Dover Publications, New York, 1955.

    15. Delaunay, L., S. Neveu, G. Noyel, and J. Monin, "A new spectrometric method, using a magneto-optical effect, to study magnetic liquids," Journal of Magnetism and Magnetic Materials, Vol. 149, No. 3, 239-249, September 1995.

    16. Landau, L. D. and E. M. Lifshitz, Electrodynamics of Continuous Media, Pergamon Press, London, 1960.

    17. Satopaa, V., J. Albrecht, and D. Irwin, "Finding a “kneedle” in a haystack: Detecting knee points in system behavior," International Conference on Distributed Computing Systems Workshops (ICDCSW), June 2011.

    18. Muller, R., S. Dutz, A. Neeb, A. C. B. Catob, and M. Zeisberger, "Magnetic heating effect of nanoparticles with different sizes and size distributions," Journal of Magnetism and Magnetic Materials, Vol. 328, 80-85, 2013.

    19. Fantechi, E., C. Innocenti, M. Albino, E. Lottini, and C. Sangregorio, "Influence of cobalt doping on the hyperthermic efficiency of magnetite nanoparticles," Journal of Magnetism and Magnetic Materials, Vol. 380, 265-271, 2015.

    20. Guibert, C., V. Dupuis, V. Peyre, and J. Fresnais, "Hyperthermia of magnetic nanoparticles: Experimental study of the role of aggregation," J. Phys. Chem. C, Vol. 119, No. 50, 28148-28154, 2015.

    21. Butler, R., "Theoretical single-domain grain size range in magnetite and titanomagnetite," Journal of Geophysical Research Atmospheres, Vol. 80, No. 29, 4049-4058, 1975.

    22. Abenojar, E., S. Wickramasinghe, J. Bas-Concepcion, and A. Samia, "Structural effects on the magnetic hyperthermia properties of iron oxide nanoparticles," Progress in Natural Science: Materials International, Vol. 26, No. 5, 440-448, October 2016.

    23. Yadel, C., A. Michel, S. Casale, and J. Fresnais, "Hyperthermia efficiency of magnetic nanoparticles in dense aggregates of cerium oxide/iron oxide nanoparticles," Appl. Sci., Vol. 8, 1241, 2018.