Review of the mathematical functions used to model the temperature dependence of electrical and thermal conductivities of biological tissue in radiofrequency ablation

References

• Benoist S, Nordlinger B. Radiofrequency ablation in liver tumors. Ann Oncol 2004;15:313–17
   Web of Science ®Google Scholar
• McAchran SE, Lesani OA, Resnick MI. Radiofrequency ablation of renal tumors: Past, present and future. Urology 2005;66:15–22
   PubMed Web of Science ®Google Scholar
• Di Staso M, Zugaro L, Gravina GL, Bonfili P, Marampon F, Di Nicola L, et al. A feasibility study of percutaneous radiofrequency ablation followed by radiotherapy in the management of painful osteolytic bone metastases. Eur Radiol 2011;21:2004–10
   PubMed Web of Science ®Google Scholar
• Sharma R, Wagner JL, Hwang RF. Ablative therapies of the breast. Surg Oncol Clin N Am 2011;20:317–39
   PubMed Web of Science ®Google Scholar
• Savoie PH, Lopez L, Simonin O, Loubat M, Bladou F, Serment G, et al. Two-years follow-up of radiofrequency thermotherapy for urination disorders due to benign prostatic hyperplasia [in French]. Prog Urol 2009;19:501–6
   PubMed Web of Science ®Google Scholar
• Akeboshi M, Yamakado K, Nakatsuka A, Hataji O, Taguchi O, Takao M, et al. Percutaneous radiofrequency ablation of lung neoplasms: Initial therapeutic response. J Vasc Interv Radiol 2004;15:463–70
   PubMed Web of Science ®Google Scholar
• Berjano EJ. Theoretical modeling of epicardial radiofrequency ablation: State-of-the-art and challenges for the future. Biomed Eng Online 2006;5:24
   PubMed Web of Science ®Google Scholar
• Tungjitkusolmun S, Woo EJ, Cao H, Tsai JZ, Vorperian VR, Webster JG. Thermal-electrical finite element modeling for radio frequency cardiac ablation: Effects of changes in myocardial properties. Med Biol Eng Comput 2000;38:562–8
   PubMed Web of Science ®Google Scholar
• Shahidi AV, Savard P. A finite element model for radiofrequency ablation of the myocardium. IEEE Trans Biomed Eng 1994;41:963–8
   PubMed Web of Science ®Google Scholar
• Solazzo SA, Liu Z, Lobo SM, Ahmed M, Hines-Peralta AU, Lenkinski RE, et al. Radiofrequency ablation: importance of background tissue electrical conductivity – An agar phantom and computer modeling study. Radiology 2005;236:495–502
   PubMed Web of Science ®Google Scholar
• Gabriel C, Gabriel S, Corthout E. The dielectric properties of biological tissues: I. Literarure survey. Phys Med Biol 1996;41:2231–49
   PubMed Web of Science ®Google Scholar
• Duck F. Physical properties of tissue – A comprehensive reference book. New York: Academic Press; 1990
   Google Scholar
• Byeongman J, Aksan A. Prediction of the extent of thermal damage in the cornea during conductive thermokeratoplasty. J Therm Biol 2010;35:167–74
   Web of Science ®Google Scholar
• Haemmerich D, Chachati L, Wright AS, Mahvi DM, Lee FT, Webster JG. Hepatic radiofrequency ablation with internally cooled probes: Effect of coolant temperature on lesion size. IEEE Trans Biomed Eng 2003;50:493–9
   PubMed Web of Science ®Google Scholar
• Jarrard J, Wizeman B, Brown RH, Mitzner W. A theoretical model of the applications of RF energy to the airway wall and its experimental validation. Biomed Eng Online 2010;9:81
   PubMed Web of Science ®Google Scholar
• Dodde RE, Miller SF, Geiger JD, Shih AJ. Thermal-electric finite element analysis and experimental validation of bipolar electrosurgical cautery. J Manuf Sci Eng 2008;130:021015-1–8
   Web of Science ®Google Scholar
• Lau M, Hu B, Werneth R. A theoretical and experimental analysis of radiofrequency ablation with a multielectrode, phased, duty-cycled system. Pacing Clin Electrophysiol 2010;33:1089–100
   PubMed Web of Science ®Google Scholar
• Berjano EJ, Alió JL, Saiz J. Modeling for radio-frequency conductive keratoplasty: Implications for the maximum temperature reached in the cornea. Physiol Meas 2005;26:157–72
   PubMed Web of Science ®Google Scholar
• Pätz T, Kröger T, Preusser T. Simulation of radiofrequency ablation including water evaporation. IFMBE Proceedings 2009;25/IV:1287–90
   Google Scholar
• Jain MK, Wolf PD. A three-dimensional finite element model of radiofrequency ablation with blood flow and its experimental validation. Ann Biomed Eng 2000;28:1075–84
   PubMed Web of Science ®Google Scholar
• Chang IA, Nguyen UD. Thermal modeling of lesion growth with radiofrequency ablation devices. Biomed Eng Online 2004;3:27
   PubMed Web of Science ®Google Scholar
• Yang D, Converse MC, Mahvi DM, Webster JG. Expanding the bioheat equation to include tissue internal water evaporation during heating. IEEE Trans Biomed Eng 2007;54:1382–8
   PubMed Web of Science ®Google Scholar
• Bhavaraju NC, Valvano JW. Thermophysical properties of swine myocardium. Int J Thermophys 1999;20:665–76
   Web of Science ®Google Scholar
• Baldwin SA, Pelman A, Bert JL. A heat transfer model of thermal balloon endometrial ablation. Ann Biomed Eng 2001;29:1009–18
   PubMed Web of Science ®Google Scholar
• Abraham JP, Sparrow EM. A thermal-ablation bioheat model including liquid-to-vapor phase change, pressure- and necrosis-dependent perfusion, and moisture-dependent properties. Int J Heat Mass Transfer 2007;50:2537–44
   Web of Science ®Google Scholar
• Pennes H. Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol 1948;85:5–34
   Web of Science ®Google Scholar
• Pearce J, Panescu D, Thomsen S. Simulation of diopter changes in radio frequency conductive keratoplasy in the cornea. WIT Trans Biomed Health 2005;8:469–77
   Google Scholar
• Zhao G, Zhang HF, Guo XJ, Luo DW, Gao DY. Effect of blood flow and metabolism on multidimensional heat transfer during cryosurgery. Med Eng Phys 2007;29:205–15
   PubMed Web of Science ®Google Scholar
• Berjano EJ, Burdío F, Navarro AC, Burdío JM, Güemes A, Aldana O, et al. Improved perfusion system for bipolar radiofrequency ablation of liver: Preliminary findings from a computer modeling study. Physiol Meas 2006;27:N55–66
   PubMed Web of Science ®Google Scholar
• Trujillo M, Alba J, Berjano E. Relation between roll-off occurrence and spatial distribution of dehydrated tissue during RF ablation with cooled electrodes. Int J Hyperthermia 2012;28:62–8
   PubMed Web of Science ®Google Scholar
• Doss JD. Calculation of electric fields in conductive media. Med Phys 1982;9:566–73
   PubMed Web of Science ®Google Scholar
• Chang IA. Considerations for thermal injury analysis for RF ablation devices. Biomed Eng Online 2010;4:3-12
   Google Scholar
• Jacques S, Rastegar S, Thomsen S, Motamedi M. The role of dynamic changes in blood perfusion and optical properties in laser coagulation of tissue. IEEE J Sel Top Quantum Electron 1996;2:922–33
   Web of Science ®Google Scholar
• Berjano EJ, Saiz J, Ferrero JM. Radio-frequency heating of the cornea: Theoretical model and in vitro experiments. IEEE Trans Biomed Eng 2002;49:196–205
   PubMed Web of Science ®Google Scholar
• Barauskas R, Gulbinas A, Barauskas G. Investigation of radiofrequency ablation process in liver tissue by finite element modeling and experiment. Medicina (Kaunas) 2007;43:310–25
   PubMed Web of Science ®Google Scholar
• Ji Z, Brace CL. Expanded modeling of temperature-dependent dielectric properties for microwave thermal ablation. Phys Med Biol 2011;56:5249–64
   PubMed Web of Science ®Google Scholar
• Watanabe H, Yamazaki N, Kobayashi Y, Miyashita T, Fujie MG. Temperature dependence of thermal conductivity of liver based on various experiments and a numerical simulation for RF ablation. Conf Proc IEEE Eng Med Biol Soc 2010;2010:3222–8
   PubMedGoogle Scholar
• Labonté S. Numerical model for radio-frequency ablation of the endocardium and its experimental validation. IEEE Trans Biomed Eng 1994;41:108–15
   PubMed Web of Science ®Google Scholar