Abstract
Introduction: The radiofrequency hyperthermia is a technique that by induction of the electromagnetic waves produces the heating in the biological tissues. The increase in body temperature in a range of 40 °C to 46 °C causing heat-induced necrosis, protein inactivity, and inhibition of DNA recovery mechanisms in the cancer cell. The application of this therapy depends on parameters like the frequency and power and physical properties of the tissue, which vary from person to person. One of the important properties is the electrical conductivity of the tissue, which varies depending on the tissue and frequency. In this paper, the electrical conductivity estimation is performed in hyperthermia therapy with different frequencies. Methodology: The estimation process of electrical conductivity is carried out through the Levenberg Marquardt method. The process is performed on simulated experimental data and mathematical model of the system with different frequencies. The geometry used is a copper coil that induces radiofrequency to a domain located in the center of the coil. Results: The estimation of electrical conductivity is obtained to different frequencies from radiofrequency hyperthermia therapy for cancer treatment by the Levenberg Marquardt method. Also, these results allow that by identifying the electrical conductivity of each patient. Conclusions: The estimation of physical properties in the application of cancer treatment is important, in this case with radiofrequency hyperthermia therapy, because it is possible to plan appropriate treatment, due to a better knowledge of the system.
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References
WHO: Cancer. www.who.int. Accessed 1 Oct 2019
Rangel-Sosa, M.M., Aguilar-Córdova, E., Rojas-Martínez, A.: Immunotherapy and gene therapy as novel treatments for cancer. Colomb. medica 48, 138–147 (2017)
Oun, R., Moussa, Y.E., Wheate, N.J.: The side effects of platinum-based chemotherapy drugs: a review for chemists. Dalton Trans. 47, 6645–6653 (2018)
Palesh, O., Scheiber, C., Kesler, S., Mustian, K., Koopman, C., Schapira, L.: Management of side effects during and post-treatment in breast cancer survivors. Breast J. 24, 167–175 (2018)
Curto, S.: Antenna development for radio frequency hyperthermia applications. Doctoral thesis. Dublin Institute of Technology. Technological University Dublin (2010)
Mallory, M., Gogineni, E., Jones, G.C., Greer, L., Simone, C.B.: Therapeutic hyperthermia: the old, the new, and the upcoming. Crit. Rev. Oncol. Hematol. 97, 56–64 (2016)
Gas, P.: Study on interstitial microwave hyperthermia with multi-slot coaxial antenna. Génie biomédicale. 59, 215–224 (2014)
Vrba, D., Vrba, J., Rodrigues, D.B., Stauffer, P.: Numerical investigation of novel microwave applicators based on zero-order mode resonance for hyperthermia treatment of cancer. J. Franklin Inst. 354, 8734–8746 (2017)
Guirado, N., Mart, J.C.: Hipertermia oncológica profunda conformada provocada por campos electromagnéticos no ionizantes Conformed deep oncologic hyperthermia caused by electromagnetic. Rev. Fis. Med. 19, 11–44 (2018)
Kurgan, E., Gas, P.: Estimation of Temperature Distribution Inside Tissues in External RF Hyperthermia. Prz. Elektrotechniczny 86, 100–102 (2010)
Gas, P.: Essential Facts on the History of Hyperthermia and their Connections with Electromedicine. Prz. Elektrotechniczny 87, 37–40 (2011)
Bermeo Varon, L.A., Orlande, H.R.B., Elicabe, G.: Estimation of state variables in the hyperthermia therapy of cancer with heating imposed by radiofrequency electromagnetic waves. Int. J. Therm. Sci. 98, 228–236 (2015)
Eibner, S., et al.: Near Infrared Light Heating of Soft Tissue Phantoms Containing Nanoparticles. Eng. térmica. 13, 13–18 (2014)
Lamien, B., Bermeo Varon, L.A., Orlande, H.R.B., Eliçabe, G.E.: State Estimation in Bioheat Transfer : a Comparison of Particle Filter Algorithms. Int. J. Numer. Methods Heat Fluid Flow. 27, 1–53 (2017)
Majchrzak, E., Paruch, M.: Numerical modelling of temperature field in the tissue with a tumor subject to the action of two external electrode. Sci. Res. Inst. Math. Comput. Sci. 1, 1–8 (2009)
Miaskowski, A., Sawicki, B., Krawczyk, A., Yamada, S.: The application of magnetic fluid hyperthermia to breast cancer treatment. Prz. Elektrotechniczny, 99–101 (2010)
Gas, P., Miaskowski, A.: Specifying the ferrofluid parameters important from the viewpoint of Magnetic Fluid Hyperthermia. Sel. Probl. Electr. Eng. Electron., 1–6 (2015)
Sun, J., Wang, W., Yue, Q.: Review on microwave-matter interaction fundamentals and efficient microwave-associated heating strategies. Mater. 9, 231 (2016)
Beck, J.V.: Sequential methods in parameter estimation. Michigan State University, East Lansing (1999)
Borzou, P., Ghaisari, J., Izadi, I., Gheisari, Y.: An iterative LMA method for parameter estimation in dynamic modeling of TGFβ pathway using ODE, pp. 1140–1144 (2019)
Madsen, K., Nielsen, H.., Tingleff, O.: Method for Non-Linear Least Squares Problems, pp. 24–29. Informatics and Mathematical Modelling Technical University of Denmark (2004)
Ghosh, S., Chattopadhyay, B.P., Roy, R.M., Mukherjee, J., Mahadevappa, M.: Estimation of echocardiogram parameters with the aid of impedance cardiography and artificial neural networks. Artif. Intell. Med. 96, 45–58 (2019)
Huang, C.-H., Huang, C.-Y.: An inverse problem in estimating simultaneously the effective thermal conductivity and volumetric heat capacity of biological tissue. Appl. Math. Model. 31, 1785–1797 (2007)
Gill, P.E., Murray, W.: Algorithms for the solution of the nonlinear least-squares problem. SIAM J. Numer. Anal. 15, 977–992 (1978)
Andrieu, C., De Freitas, N., Doucet, A., Jordan, M.I.: An introduction to MCMC for machine learning. Mach. Learn. 50, 5–43 (2003)
Tan, C., Xu, Y., Dong, F.: Determining the boundary of inclusions with known conductivities using a Levenberg-Marquardt algorithm by electrical resistance tomography. Meas. Sci. Technol. 22, 104005 (2011)
Xu, Y., Dong, F., Tan, C.: Electrical resistance tomography for locating inclusions using analytical boundary element integrals and their partial derivatives. Eng. Anal. Bound. Elem. 34, 876–883 (2010)
Comsol Multiphysics: Comsol Multiphysics Modelling Software. www.comsol.com. Accessed 8 Oct 2019
Hasgall, P.A., Neufeld, E., Gosselin, C., Klingenb, M.A., Kuster, N.: IT’IS Database for thermal and electromagnetic parameters of biological tissues (2015). www.itis.ethz.ch/database
Maxwell, J.C.: A dynamical theory of the electromagnetic field. Philos. Trans. R. Soc. London. 155, 459–512 (1865)
Ozisik, N.: Heat Conduction. Wiley, New York (1993)
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The authors are thankful for the support provided by DGI of Universidad Santiago de Cali, Colombia, project No. 819-621118-120.
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López Perez, J.I., Serna Maldonado, R.D., Bermeo Varon, L.A., Castillo García, J.F. (2020). Estimation of Electrical Conductivity from Radiofrequency Hyperthermia Therapy for Cancer Treatment by Levenberg Marquardt Method. In: Botto-Tobar, M., Zambrano Vizuete, M., Torres-Carrión, P., Montes León, S., Pizarro Vásquez, G., Durakovic, B. (eds) Applied Technologies. ICAT 2019. Communications in Computer and Information Science, vol 1195. Springer, Cham. https://doi.org/10.1007/978-3-030-42531-9_12
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