An electroquasistatic (EQS) model of capacitive hyperthermia for treating lung tumors is proposed, based on which the finite element method is applied to compute the electrical potential in a human thorax model. The temperature distribution in the thorax model, which is surrounded by a bolus maintained at a constant temperature, is computed by numerically solving a bioheat equation, which includes metabolic heat generated in the tissues, heat convection mechanism in tissues and bolus, as well as the heat delivered by the microwave field computed with the EQS model and finite element method. Temperature-dependent blood perfusion rates of blood and muscle, respectively, are adopted to account for the physiological reaction of tissues to temperature variation. By simulations, it is observed that adjusting the dielectric properties of adipose tissue via injection, the time evolution of temperature distribution can be controlled to some extent, providing more flexibility to customize a hyperthermia treatment plan for specific patient.
2. Ohguri, T., K. Yahara, S. D. Moon, S. Yamaguchi, H. Imada, H. Terashima, and Y. Korogi, "Deep regional hyperthermia for the whole thoracic region using 8 MHz radiofrequency-capacitive heating device: Relationship between the radiofrequency-output power and the intra-oesophageal temperature and predictive factors for a good heating in 59 patients," Int. J. Hyperthermia, Vol. 27, No. 1, 20-26, Feb. 2011.
3. Jamil, M. and E. Y. K. Ng, "To optimize the efficacy of bioheat transfer in capacitive hyperthermia: A physical perspective," J. Therm. Biol., Vol. 38, No. 5, 272-279, Jul. 2013.
4. Kotsuka, Y., H. Kayahara, K. Murano, H. Matsui, and M. Hamuro, "Local inductive heating method using novel high-temperature implant for thermal treatment of luminal organs," IEEE Trans. Microwave Theory Tech., Vol. 57, No. 10, 2574-2580, Oct. 2009.
5. Kowalski, M. E. and J.-M. Jin, "Model-based optimization of phased arrays for electromagnetic hyperthermia," IEEE Trans. Microwave Theory Tech., Vol. 52, No. 8, 1964-1977, Aug. 2004.
6. Staruch, R., R. Chopra, and K. Hynynen, "Hyperthermia in bone generated with MR imaging controlled focused ultrasound: Control strategies and drug delivery," Radiology, Vol. 263, No. 1, 117-127, Apr. 2012.
7. Chen, X., C. J. Diederich, J. H. Wootton, J. Pouliot, and I.-C. Hsu, "Optimisation-based thermal treatment planning for catheter-based ultrasound hyperthermia," Int. J. Hyperthermia, Vol. 26, No. 1, 39-55, Feb. 2010.
8. Szasz, A., O. Szasz, and N. Szasz, "Physical background and technical realizations of hyperthermia," Hyperthermia in Cancer Treatment: A Primer, G. F. Baronzio and E. D. Hager, ed., Medical Intelligence Unit, 2006.
9. Hiraoka, M., M. Mitsumori, N. Hiroi, S. Ohno, Y. Tanaka, Y. Kotsuka, and K. Sugimachi, "Development of RF and microwave heating equipment and clinical application to cancer treatment in Japan," IEEE Trans. Microwave Theory Tech., Vol. 48, No. 11, 1789-1799, Nov. 2000.
10. Tao, Y.-H. and G. Wang, "Conformal hyperthermia of superficial tumor with left-handed metamaterial lens applicator," IEEE Trans. Biomed. Eng., Vol. 59, No. 12, 3525-3530, Dec. 2012.
11. Hand, J. W., "Modelling the interaction of electromagnetic fields (10 MHz-10 GHz) with the human body: Methods and applications," Phys. Med. Biol., Vol. 53, R243-R286, 2008.
12. Aghayan, S. A., D. Sardari, S. R. M. Mahdavi, and M. H. Zahmatkesh, "Estimation of overall heat transfer coefficient of cooling system in RF capacitive hyperthermia," J. Biomed. Sci. Eng., Vol. 6, No. 5, 509-517, 2013.
13. Kok, H. P., M. de Greef, N. vanWieringen, D. Correia, M. C. C.M. Hulshof, P. J. ZumVöRde Sive VöRding, J. Sijbrands, A. Bel, and J. Crezee, "Comparison of two different 70 MHz applicators for large extremity lesions: Simulation and application," Int. J. Hyperthermia, Vol. 26, No. 4, 376-388, Jun. 2010.
14. Kato, H., M. Kondo, H. Imada, M. Kuroda, Y. Kamimura, K. Saito, K. Kuroda, K. Ito, H. Takahashi, and H. Matsuki, "Quality assurance: Recommended guidelines for safe heating by capacitive-type heating technique to treat patients with metallic implants," Int. J. Hyperthermia, Vol. 29, No. 2, 99-105, Feb. 2013.
15. Kok, H. P., P. Wust, P. R. Stauffer, F. Bardati, G. C. van Rhoon, and J. Crezee, "Current state of the art of regional hyperthermia treatment planning: A review," Radiation Oncology, Vol. 10, No. 196, Sep. 2015.
16. Kok, H. P., J. Gellermann, C. A. T. van den Berg, P. R. Stauffer, J. W. Hand, and J. Crezee, "Thermal modelling using discrete vasculature for thermal therapy: A review," Int. J. Hyperthermia, Vol. 29, No. 4, 336-345, Jun. 2013.
17. Kim, K., T. Seo, K. Sim, and Y. Kwon, "Magnetic nanoparticle-assisted microwave hyperthermia using an active integrated heat applicator," IEEE Trans. Microwave Theory Tech., Vol. 64, No. 7, 2184-2197, Jul. 2016.
18. Hassanpour, S. and A. Saboonchi, "Interstitial hyperthermia treatment of countercurrent vascular tissue: A comparison of Pennes, WJ and porous media bioheat models," J. Therm. Biol., Vol. 46, 47-55, Dec. 2014.
19. Dombrovsky, L. A., V. Timchenko, and M. Jackson, "Indirect heating strategy of laser induced hyperthermia: An advanced thermal model," Int. J. Heat Mass Transfer, Vol. 55, No. 17-18, 4688-4700, Aug. 2012.
20. Astefanoaei, I., I. Dumitru, H. Chiriac, and A. Stancu, "Use of the Fe-Cr-Nb-B systems with low Curie temperature as mediators in magnetic hyperthermia," IEEE Trans. Magn., Vol. 50, No. 11, 7400904, Nov. 2014.
21. Jamil, M. and E. Y. K. Ng, "The modelling of heating a tissue subjected to external electromagnetic field," Acta Bioeng. Biomech., Vol. 10, No. 2, 29-37, 2008.
22. Lv, Y.-G., Z.-S. Deng, and J. Liu, "3-D numerical study on the induced heating effects of embedded micro/nanoparticles on human body subject to external medical electromagnetic field," IEEE Trans. Nanobiosci., Vol. 4, No. 4, 284-294, Dec. 2005.
23. Zhong, J.-Q., S. Liang, Y.-P. Yuan, and Q. Y. Xiong, "Coupled electromagnetic and heat transfer ODE model for microwave heating with temperature-dependent permittivity," IEEE Trans. Microwave Theory Tech., Vol. 64, No. 8, 2467-2477, Aug. 2016.
24. Kawai, N., D. Kobayashi, T. Yasui, Y. Umemoto, K. Mizuno, A. Okada, K. Tozawa, T. Kobayashi, and K. Kohri, "Evaluation of side effects of radiofrequency capacitive hyperthermia with magnetite on the blood vessel walls of tumor metastatic lesion surrounding the abdominal large vessels: An agar phantom study," Vascular Cell, Vol. 6, No. 15, Jul. 2014.
25. Li, Y.-L., S. Sun, Q. I. Dai, and W. C. Chew, "Finite element implementation of the generalized-Lorenz gauged A-Φ formulation for low-frequency circuit modeling," IEEE Trans. Antennas Propagat., Vol. 64, No. 10, 4355-4364, Jul. 2016.
26. Zhu, Y. and A. C. Cangellaris, Multigrid Finite Element Methods for Electromagnetic Field Modeling, Wiley-IEEE Press, 2006.
27. Barrett, R., M. Berry, T. F. Chan, J. Demmel, J. M. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. van der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM, Philadelphia, 1994.
28. Tsuda, N., K. Kuroda, and Y. Suzuki, "An inverse method to optimize heating conditions in RF-capacitive hyperthermia," IEEE Trans. Biomed. Eng., Vol. 43, No. 10, 1029-1037, 1996.
29. Sadiku, M. N. O., Numerical Techniques in Electromagnetics, 2nd Ed., Chap. 3, Finite Difference Method, CRC Press, Jul. 2000.
30. Abe, M., M. Hiraoka, M. Takahashi, S. Egawa, C. Matsuda, Y. Onoyama, K. Morita, M. Kakehi, and T. Sugahara, "Multi-institutional studies on hyperthermia using an 8-MHz radiofrequency capacitive heating device (Thermotron RF-8) in combination with radiation for cancer therapy," Cancer, Vol. 58, No. 8, 1589-1595, Oct. 1986.
31. Holcombe, S. A. and S. C. Wang, "Subcutaneous fat distribution in the human torso," Int. Res. Council Biomechanics Injury, 389-396, 2014.
32. Gabriel, S., R. W. Lau, and C. Gabriel, "The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz," Phys. Med. Biol., Vol. 41, No. 11, 2251-2269, Nov. 1996.
33. Wang, H.-X., J.-R. Wang, B.-Y. Sun, S. P., X. Xu, and Q. Su, "Experimental study of dielectric properties of human lung tissue in vitro," J. Med. Biol. Eng., Vol. 34, No. 6, 598-604, 2014.
34. Kim, K. S. and S. Y. Lee, "Nanoparticle-mediated radiofrequency capacitive hyperthermia: A phantom study with magnetic resonance thermometry," Int. J. Hyperthermia, Vol. 31, No. 8, 831-839, Nov. 2015.
35. Lee, J. M., Y. K. Kim, Y. H. Lee, S. W. Kim, C. A. Li, and C. S. Kim, "Percutaneous radiofrequency thermal ablation with hypertonic saline injection: In vivo study in a rabbit liver model," Korean J. Radiol., Vol. 4, No. 1, 27-34, Jan.-Mar. 2003.
36. Choi, J.-H., M. Morrissey, and J. C. Bischof, "Thermal processing of biological tissue at high temperatures: Impact of protein denaturation and water loss on the thermal properties of human and porcine liver in the range 25-80˚C," J. Heat Transfer, Vol. 135, No. 6, 061302, May 2013.
37. Wilson, S. B. and V. A. Spence, "A tissue heat transfer model for relating dynamic skin temperature changes to physiological parameters," Phys. Med. Biol., Vol. 33, No. 8, 895-912, Feb. 1988.
38. Itis.ethz.ch, "Tissue properties database V3.1,", 2016, https://itis.swiss/virtual-population/tissue-properties/downloads/database-v3-1/.
39. Bernardi, P., M. Cavagnaro, S. Pisa, and E. Piuzzi, "Specific absorption rate and temperature elevation in a subject exposed in the far-field of radio-frequency sources operating in the 10-900 MHz range," IEEE Trans. Biomed. Eng., Vol. 50, No. 3, 295-304, 2003.
40. Zorbas, G. and T. Samaras, "Simulation of radiofrequency ablation in real human anatomy," Int. J. Hyperthermia, Vol. 30, No. 8, 570-578, Dec. 2014.
41. Ye, J. C., J. H. Chang, Z. Q. Li, A. G. Wernicke, D. Nori, and B. Parashar, "Tumor density, size, and histology in the outcome of stereotactic body radiation therapy for early-stage non-small-cell lung cancer: A single-institution experience," Ann. Meeting Am. Radium Soc., Apr. 2015.
42. Ng, Q. S., V. Goh, E. Klotz, H. Fichte, M. I. Saunders, P. J. Hoskinl, and A. R. Padhani, "Quantitative assessment of lung cancer perfusion using MDCT: Does measurement reproducibility improve with greater tumor volume coverage?," Am. J. Roentgenol., Vol. 187, No. 4, 1079-1084, Oct. 2006.
43. Rossmann, C. and D. Haemmerich, "Review of temperature dependence of thermal properties, dielectric properties, and perfusion of biological tissues at hyperthermic and ablation temperatures," Crit. Rev. Biomed. Eng., Vol. 42, No. 6, 467-492, 2014.
44. Lang, J., B. Erdmann, and M. Seebass, "Impact of nonlinear heat transfer on temperature control in regional hyperthermia," IEEE Trans. Biomed. Eng., Vol. 46, No. 9, 1129-1138, Sep. 1999.