Combined parameter and state estimation in the radio frequency hyperthermia treatment of cancer

References

• P. Maybeck, Stochastic Models, Estimation and Control, NY, USA, 1979.
   Google Scholar
• J. P. Kaipio and E. Somersalo, Computational and Statistical Methods for Inverse Problems, Springer, Berlin, Heidelberg, 2004.
   Google Scholar
• J. M. Hammersley and D. C. Hanscomb, Monte Carlo Methods, Chapman & Hall, London, 1964.
   Google Scholar
• R. Winkler, An Introduction to Bayesian Inference and Decision, Probabilistic Publishing, Gainsville, Florida, 2003.
   Google Scholar
• N. Gordon, D. Salmond, and A. F. M. Smith, Novel Approach to Nonlinear and Non-Gaussian Bayesian state estimation, Proc. Inst. Elect. Eng., vol. 140, pp. 107–113, 1993.
   Google Scholar
• M. K. Pitt and N. Shephard, Filtering via Simulation: Auxiliary Particle Filters, J. Am. Stat. Assoc., vol. 94, pp. 1–41, 1993.
   Google Scholar
• J. Liu and M. West Combined Parameter and State Estimation In Simulation Based Filtering, in: S. A. Doucet, N. de Freitas, and N. Gordon (eds.), Seq. Monte Carlo Methods Pract., New York, 2001, pp. 197–217.
   Google Scholar
• M. West, Approximating Posterior Distributions by Mixture, J. R. Stat. Soc. B. vol. 55, pp. 409–422, 1993.
   Google Scholar
• M. M. Saito, S. Imoto, R. Yamaguchi, H. Sato, H. Nakada, M. Kami, et al., Extension and Verification of the SEIR Model on the 2009 Influenza A (H1N1) Pandemic in Japan, Math. Biosci., vol. 246, pp. 47–54, 2013.
   PubMed Web of Science ®Google Scholar
• A. Skvortsov and B. Ristic, Monitoring and Prediction of an Epidemic Outbreak Using Syndromic Observations, Math. Biosci., vol. 240, pp. 12–19, 2012.
   PubMed Web of Science ®Google Scholar
• L.-J. Kao, An Application of a Two-level Non-Gaussian State-space Model in the Analysis of Longitudinal Papilloma Count Data, Math. Biosci., vol. 199, pp. 121–140, 2006.
   PubMed Web of Science ®Google Scholar
• J. M. J. Costa, H. R. B. Orlande, H. F. Campos Velho, S. T. R. Pinho, G. S. Dulikravich, R. M. Cotta, and S. Cunha, Estimation of Tumor Size Evolution Using Particle Filters, J. Comput. Biol., vol. 22, pp. 1–17, 2015.
   PubMed Web of Science ®Google Scholar
• D. M. Sheinson, J. Niemi, and W. Meiring, Comparison of the Performance of Particle Filter Algorithms Applied to Tracking of a Disease Epidemic, Math. Biosci., vol. 255C, pp. 21–32, 2014.
   Web of Science ®Google Scholar
• W. Y. Tan and Z. Ye, Estimation of HIV Infection and Incubation via State Space Models, Math. Biosci., vol. 167, pp. 31–50, 2000.
   PubMed Web of Science ®Google Scholar
• L. A. Bermeo Varon, H. R. B. Orlande, and G. Elicabe, Estimation of state variables in the hyperthermia therapy of cancer with heating imposed by radiofrequency electromagnetic waves, Int. J. Therm. Sci., vol. 98, pp. 228–236, 2015.
   Web of Science ®Google Scholar
• B. Lamien, H. R. B. Orlande, G. E. Elicabe, and A. J. Maurente, State Estimation Problem in Hyperthermia Treatment of Tumors Loaded with Nanoparticles, in: Proc. 15th Int. Heat Transf. Conf. IHTC-15, Kyoto, Japan, 2014.
   Google Scholar
• P. Cherukuri, E. S. Glazer, and S. A. Curley, Targeted hyperthermia using metal nanoparticles, Adv. Drug Deliv. Rev., vol. 62, pp. 339–45, 2010.
   PubMed Web of Science ®Google Scholar
• E. Majchrzak and M. Paruch, 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., vol. 1, pp. 1–8, 2009.
   Google Scholar
• E. Majchrzak and M. Paruch, Numerical Modelling of Tissue Heating by Means of the Electromagnetic Field, Sci. Res. Inst. Math. Comput. Sci., vol. 9, pp. 89–97, 2010.
   Google Scholar
• E. Kurgan and P. Gas, Estimation of Temperature Distribution Inside Tissues in External RF Hyperthermia, Prz. Elektrotechniczny., vol. 86, pp. 100–102, 2010.
   Google Scholar
• E. Kurgan and P. Gas, Treatment of Tumors Located in the Human Thigh using RF Hyperthermia, Prz. Elektrotechniczny., vol. 87, pp. 103–106, 2011.
   Google Scholar
• M. Jamil and E. Y. K. Ng, To Optimize the Efficacy of Bioheat Transfer in Capacitive Hyperthermia: A Physical Perspective, J. Therm. Biol., vol. 38, pp. 272–279, 2013.
   Web of Science ®Google Scholar
• E. Y. K. Ng and M. Jamil, Parametric Sensitivity Analysis of Radiofrequency Ablation with Efficient Experimental Design, Int. J. Therm. Sci., vol. 80, pp. 41–47, 2014.
   Web of Science ®Google Scholar
• M. Jamil and E. Y. K. Ng, Statistical Modeling of Electrode based Thermal Therapy with Taguchi based Multiple Regression, Int. J. Therm. Sci., vol. 71, pp. 283–291, 2013.
   Web of Science ®Google Scholar
• L. A. Dombrovsky, J. Randrianalisoa, W. Lipinski, and V. Timchenko, Simplified Approaches To Radiative Transfer Simulations in Laser-Induced Hyperthermia of Superficial Tumors, Comput. Therm. Sci., vol. 5, pp. 521–530, 2013.
   Google Scholar
• L. A. Dombrovsky, V. Timchenko, and M. Jackson, Indirect Heating Strategy for Laser Induced Hyperthermia: An Advanced Thermal Model, Int. J. Heat Mass Transf., vol. 55, pp. 4688–4700, 2012.
   Web of Science ®Google Scholar
• L. A. Dombrovsky, V. Timchenko, C. Pathak, H. Piazena, W. Müller, and M. Jackson, Radiative Heating of Superficial Human Tissues with the Use of Water-Filtered Infrared-A Radiation: A Computational Modeling, Int. J. Heat Mass Transf., vol. 85, pp. 311–320, 2015.
   Web of Science ®Google Scholar
• M. R. Horsman and J. Overgaard, Hyperthermia: a potent enhancer of radiotherapy, Clin. Oncol. (R. Coll. Radiol), vol. 19, pp. 418–26, 2007.
   PubMed Web of Science ®Google Scholar
• R. Colombo, L. F. Da Pozzo, A. Salonia, P. Rigatti, Z. Leib, J. Baniel, et al., Multicentric Study Comparing Intravesical Chemotherapy Alone and With Local Microwave Hyperthermia for prophylaxis of recurrence of superficial transitional cell carcinoma, J. Clin. Oncol., vol. 21, pp. 4270–4276, 2003.
   PubMed Web of Science ®Google Scholar
• E. Majchrzak and M. Paruch, Numerical Modelling of the Cancer Destruction During Hyperthermia Treatment, Comput. Methods Mech., pp. 1–6, 2011.
   Google Scholar
• Y.-G. Lv, 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. Nanobioscience., vol. 4, pp. 284–294, 2005.
   PubMed Web of Science ®Google Scholar
• A. Miaskowski and B. Sawicki, Magnetic Fluid Hyperthermia Modeling Based on Phantom Measurements, and Realistic Breast Model, IEEE Trans. Biomed. Eng., vol. 60, pp. 1806–1813, 2013.
   PubMed Web of Science ®Google Scholar
• E. Majchrzak and M. Paruch, Identification of Electromagnetic Field Parameters Assuring the Cancer Destruction During Hyperthermia Treatment, Inverse Probl. Sci. Eng., vol. 19, pp. 45–58, 2011.
   Web of Science ®Google Scholar
• E. Kurgan and P. Gas, Simulation of the Electromagnetic Field And Temperature Distribution in Human Tissue in RF Hyperthermia, Prz. Elektrotechniczny., vol. 1, pp. 171–174, 2015.
   Google Scholar
• M. Paruch, Hyperthermia Process Control Induced by the Electric Field in Order to Cancer Destroying, Acta Bioeng. Biomech., vol. 16, pp. 123–130, 2014.
   PubMed Web of Science ®Google Scholar
• W. Andra, C. G. Ambly, R. Hergt, I. Hilger, and W. A. Kaiser, Temperature Distribution as Function of Time Around a Small Spherical Heat Source of Local Magnetic Hyperthermia, J. Magn. Magn. Mater., vol. 194, pp. 197–203, 1999.
   Web of Science ®Google Scholar
• T. O. Tasci, I. Vargel, A. Arat, E. Guzel, P. Korkusuz, and E. Atalar, Focused RF Hyperthermia Using Magnetic Fluids, Med Phys., vol. 36, pp. 1906–1912, 2009.
   PubMed Web of Science ®Google Scholar
• M. T. Basel, S. Balivada, H. Wang, T. B. Shrestha, G. M. Seo, M. Pyle, et al., Cell-delivered Magnetic Nanoparticles Caused Hyperthermia-Mediated Increased Survival in a Murine Pancreatic Cancer Model, Int. J. Nanomedicine., vol. 7, pp. 297–306, 2012.
   PubMed Web of Science ®Google Scholar
• R. Hergt, S. Dutz, R. Müller, and M. Zeisberger, Magnetic Particle Hyperthermia: Nanoparticle Magnetism and Materials Development for Cancer Therapy, J. Phys. Condens. Matter., vol. 18, pp. S2919–S2934, 2006.
   Web of Science ®Google Scholar
• K. Murase, J. Oonoki, H. Takata, R. Song, A. Angraini, P. Ausanai, et al., Simulation and Experimental Studies on Magnetic Hyperthermia with use of Superparamagnetic Iron Oxide Nanoparticles, Radiol. Phys. Technol., vol. 4, pp. 194–202, 2011.
   PubMedGoogle Scholar
• L. A. Dombrovsky, V. Timchenko, M. Jackson, and G. H. Yeoh, A Combined Transient Thermal Model for Laser Hyperthermia of Tumors with Embedded Gold Nanoshells, Int. J. Heat Mass Transf., vol. 54, pp. 5459–5469, 2011.
   Web of Science ®Google Scholar
• S. Eibner, R. Alfredo, O. Jaime, B. Lamien, R. Basto, H. Orlande, and O. Fudym, Near Infrared Light Heating of Soft Tissue Phantoms Containing Nanoparticles, Thermal Engineering., vol. 13, pp. 13–18, 2014.
   Google Scholar
• L. A. Dombrovsky, V. Timchenko, and M. Jackson, Indirect Heating Strategy for Laser Induced Hyperthermia: An Advanced Thermal Model, Int. J. Heat Mass Transf., vol. 55, pp. 4688–4700, 2012.
   Web of Science ®Google Scholar
• Y. Bayazitoglu, Nanoshell Assisted Cancer Thermal Therapy: Numerical Simulations, in: Proc. ASME 2009 2nd Int. Conf. Micro/Nanoscale Heat Mass Transf. Int. Conf., Shanghai, China, pp. 545–552, 2009.
   Google Scholar
• X. Xu, A. Meade, and Y. Bayazitoglu, Numerical Investigation of Nanoparticle-assisted Laser-induced Interstitial Thermotherapy Toward Tumor and Cancer Treatments, Lasers Med Sci., vol. 26, pp. 213–222, 2011.
   PubMed Web of Science ®Google Scholar
• X. Xu, A. Meade, and Y. Bayazitoglu, Feasibility of Selective Nanoparticle-assisted Photothermal Treatment for an Embedded Liver Tumor, Lasers Med Sci., pp. 1–10, 2012.
   Web of Science ®Google Scholar
• Y. Zhang, B. Chen, D. Li, and G. Wang, Efficient and Accurate Simulation of Light Propagation in Bio-tissues Using the Three-dimensional Geometric Monte Carlo method, Num. Heat Transfer - Part A, vol. 68, pp. 827–846, 2015.
   Web of Science ®Google Scholar
• I. Im, S. Yun, and K. Kim, Numerical Study on the Temperature Profiles and Degree of Burns in Huma Skin Tissue Combined Thermal Therapy, Num Heat Transfer - Part A, vol. 67, pp. 921–933, 2015.
   Web of Science ®Google Scholar
• A. AlAmiri, K. Khanafer, and K. Vafai, Flui-structure Interactions in Tissue During Hyperthermia, Num Heat Transfer - Part A, vol. 66, pp. 1–16, 2014.
   Web of Science ®Google Scholar
• T. Wu, P. Li, Q. shao, J. Hong, L. Yang, and S. Wu, A Simulation-Experiment Method to Chracterize the Heat Transfer in Ex-vivo Porcine Hepatic Tissue with Realistic Microwave Ablation System, Num Heat Transfer - Part A, vol. 64, pp. 729–743, 2013.
   Web of Science ®Google Scholar
• N. Afrin, J. Zhou, D. Tzou, and J. chen, Numerical Simulation of Thermal Damage of Living Biological Tissues Induced by Laser Irradiation Based on the Generalized Dual Phase Lag Model, Num Heat Transfer - Part A, vol. 61, pp. 483–501, 2012.
   Web of Science ®Google Scholar
• M. S. Arulampalam, S. Maskell, N. Gordon, T. Clapp, A Tutorial on Particle Filters for Online Nonlinear/non-Gaussian Bayesian Tracking, IEEE Trans. Signal Process., vol. 50, pp. 174–188, 2002.
   Web of Science ®Google Scholar
• B. Ristic, M. S. Arulampalam, and N. Gordon, Beyond the Kalman Filter, Artech House, Boston, MA, 2004.
   Google Scholar
• C. Andrieu, A. Doucet, and C. P. Robert, Computational Advances for and from Bayesian, Analysis, Stat. Sci., vol. 19, pp. 118–127, 2004.
   Web of Science ®Google Scholar
• P. Wust, B. Hildebrandt, G. Sreenivasa, B. Rau, J. Gellermann, H. Riess, et al., Review Hyperthermia in Combined Treatment of Cancer, Lancet Oncol., vol. 3, pp. 487–497, 2002.
   PubMed Web of Science ®Google Scholar
• C. K. Chou and R. Ren Radio Frequency Hyperthermia in Cancer Therapy, in: Biomed. Eng. Handb., 2nd ed., 2000.
   Google Scholar
• H. H. Pennes, Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm, J. Appl. Physiol., vol. 1, pp. 93–124, 1948.
   PubMed Web of Science ®Google Scholar
• R. Turner and M. Streicher, Measuring Temperature using MRI: A Powerful and Versatile Technique, Magn Reson Mater Phy., vol. 25, pp. 1–3, 2012.
   Web of Science ®Google Scholar
• D. K. Cheng, Fundamentals of Engineering Electromagnetics, Addison-Wesley Publishing Company, Inc, USA, 1993.
   Google Scholar
• R. E. Rosensweig, Heating Magnetic Fluid with Alternating Magnetic Field, J. Magn. Magn. Mater., vol. 252, pp. 370–374, 2002.
   Web of Science ®Google Scholar
• Q. A. Pankhurst, J. Connolly, S. K. Jones, and J. Dobson, Applications of Magnetic Nanoparticles in Biomedicine, J. Phys. D. Appl. Phys., vol. 36, pp. R167–R181, 2003.
   Web of Science ®Google Scholar
• S. Gabriel, R. W. Lau, and C. Gabriel, The Dielectric Properties of Biological Tissues: III. Parametric Models for the Dielectric Spectrum of Tissues, Phys. Med. Biol., vol. 41, 2271–2293, 1996.
   PubMed Web of Science ®Google Scholar