Generation of Numerical Data for the Facilitation of the Personalized Hyperthermic Treatment of Cancer with An Interstital Antenna Array Using the Method of Symmetrical Components

The method of moments combined with the method
of symmetrical components is used for the analysis of interstitial
hyperthermia applicators. The basis and testing functions are both
piecewise sinusoids, qualifying our technique as a Galerkin one. The
dielectric coatings are modeled by equivalent volume polarization
currents, which are simply related to the conduction current
distribution, avoiding in that way the introduction of additional
unknowns or numerical integrations. The results of our method
for a four dipole circular array, are in agreement with those
already published in literature for a same hyperthermia configuration.
Apart from being accurate, our approach is more general, more
computationally efficient and takes into account the coupling between
the antennas.




References:
[1] G. M. Hahn, Hyperthermia and Cancer. New York: Plenum, 1982, pp.
1-285.
[2] J. Mendecki et al., “Microwave applicators for localized hyperthermia
treatment of malignant tumors,” J. Bioeng., vol. 1, pp. 511-518, 1977.
[3] L. S. Taylor, “Devices for microwave hyperthermia,” in Cancer Therapy
by Hyperthemia and Radiation, C. Streffer et al., Eds., Baltimore,
MD:Urban and Schwarzenberg, 1978, pp. 115-117.
[4] R. W. P. King, B. S. Trembly, and J. W. Strohbhen, “The electromagnetic
field of an insulated antenna in a conducting or dielectric medium,” IEEE
Trans. Microwave Theory Tech., vol. MTT-31, no. 7, pp. 574-583, Jul.
1983.
[5] Y. Zhang, N. V. Dubal, R. Takemoto-Hambleton, and W. T. Joines,
“The determination of the electromagnetic field and SAR pattern of an
interstitial applicator in a dissipative dielectric medium,” IEEE Trans.
Microwave Theory Tech., vol. MTT-36, no. 10, pp. 1438-1443, Oct.
1988.
[6] P. E. Atlamazoglou, and N. K. Uzunoglu, “A Galerkin moment method
for the analysis of an insulated antenna in a dissipative dielectric
medium,” IEEE Trans. Microwave Theory Tech., vol. 46, pp. 988-996,
Jul. 1998.
[7] C. J. Yeung, R.C. Susil and E. Atalar, “RF safety of wires in
interventional MRI: using a safety index,” Engineering in Medicine and
Biology Society 2001. Proceedings of the 23rd Annual International
Conference of the IEEE., vol. 3, pp. 2496-2498, 2001.
[8] C. J. Yeung, R.C. Susil and E. Atalar, “RF heating due to conductive
wires during MRI depends on the phase distribution of the tranmit field,”
MAgnetic Resonance in Medicine, vol. 48, pp. 1096, 2002.
[9] S. M. Park, R. Kamondetdacha, A. Amjad and J. A. Nyenhuis,
“MRI safety: RF-induced heating near straight wires,” IEEE Trans.on
Magnetics, vol. 41, pp. 4197-4199, 2005.
[10] S. A. Mohsin, N. M. Sheikh, U. Saeed, “MRI-induced heating of deep
brain stimulation leads,” Physics in Medicine and Biology, vol. 53, pp.
5745, 2008.
[11] S. A. Mohsin, U. Saeed, J. Nyenhuis and N. M. Sheikh, “Scattering
of the MRI field at 1.5T by a Vagus Nerve Stimu;ation Implant”
Antennas and Propagation Society International Symposium 2008, vol.
AP-S 2008, IEEE, pp. 1-4, Jul. 2008.
[12] J. Jakobus, H. Ruoss, L. Geisbusch and F. M. Landstorfer, “Hybridisation
of MoM and GMT for the numerical analysis of electromagnetic sources
radiating in the vicinity of persons with implaned cardiac pacemakers,”
Africon 1999 IEEE, vol. 2, pp. 1041-1044, 1999.
[13] S. Liu and M. Sato, “Transient radiation from an unloadede finite
dipole antenna in a borehole: Expiremental and numerical results,”
GEOPHYSICS, vol. 70, pp. K43, 2005.
[14] S. Ebihara and Y. Hashimoto, “MoM Analysis of Dipole Antennas in
Crosshole Borehole Radar and Field Experiments,” IEEE Transactions
on Geoscience and Remote Sensing, vol. 45, pp. 2435-2450, 2007.
[15] P. Jacqmaer, C. Geuzaine and J. Driesen, “Application of an
electromagnetic modeling method for railway grounding systems
subjected to lightining strikes,” 13th International Conference on
Harmonics and Quality of Power 2008., vol. ICHQP 2008, pp. 1-6,
2008.
[16] W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling,
Numerical Recipes: The Art of Scientific Computing. New York:
Cambridge University Press, 1989, pp. 47-52.
[17] R. W. P. King, “The large circular array with one element driven,” IEEE
Trans. Antennas Propagat., vol. 38, pp. 1462-1472, Sep. 1990.
[18] Y. Zhang, W. T. Joines, and J. R. Oleson, “Microwave hyperthermia
induced by a phased interstitial antenna array,” IEEE Trans. Microwave
Theory Tech., vol. 38, pp. 217-221, Feb. 1990.
[19] K. L. Clibbon, A. McCowen, and J. W. Hand, “SAR distributions in
interstitial microwave antenna arrays with a single dipole displacement,”
IEEE Trans. Biomed. Eng., vol. 40, no. 9, pp. 925-932, Sep. 1993.