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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9021616, 12 pages
https://doi.org/10.1155/2017/9021616
Research Article

An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode

1Facultad de Ingeniería, Universidad Autónoma de San Luis Potosí, Manuel Nava No. 8, Zona Universitaria, 78290 San Luis Potosí, SLP, Mexico
2Biomedical Synergy, Department of Electronic Engineering, Universitat Politècnica de València, Camí de Vera, 46022 Valencia, Spain

Correspondence should be addressed to Ricardo Romero-Méndez; xm.plsau@moremorr

Received 19 December 2016; Accepted 26 January 2017; Published 6 March 2017

Academic Editor: Alessio Gizzi

Copyright © 2017 Ricardo Romero-Méndez and Enrique Berjano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Rossi, F. Fornari, C. Pathies, and L. Buscarini, “Thermal lesions induced by 480 KHz localized current field in guinea pig and pig liver,” Tumori, vol. 76, no. 1, pp. 54–57, 1990. View at Google Scholar · View at Scopus
  2. S. N. Goldberg, “Radiofrequency tumor ablation: principles and techniques,” European Journal of Ultrasound, vol. 13, no. 2, pp. 129–147, 2001. View at Publisher · View at Google Scholar · View at Scopus
  3. M. Trujillo, J. Alba, and E. Berjano, “Relationship between roll-off occurrence and spatial distribution of dehydrated tissue during RF ablation with cooled electrodes,” International Journal of Hyperthermia, vol. 28, no. 1, pp. 62–68, 2012. View at Publisher · View at Google Scholar · View at Scopus
  4. R. T.-P. Poon, S.-T. Fan, F. H.-F. Tsang, and J. Wong, “Locoregional therapies for hepatocellular carcinoma: a critical review from the surgeon's perspective,” Annals of Surgery, vol. 235, no. 4, pp. 466–486, 2002. View at Publisher · View at Google Scholar · View at Scopus
  5. F. Burdío, E. J. Berjano, A. Navarro et al., “RF tumor ablation with internally cooled electrodes and saline infusion: what is the optimal location of the saline infusion?” BioMedical Engineering Online, vol. 6, article 30, 2007. View at Publisher · View at Google Scholar · View at Scopus
  6. P. L. Pereira, J. Trübenbach, M. Schenk et al., “Radiofrequency ablation: in vivo comparison of four commercially available devices in pig livers,” Radiology, vol. 232, no. 2, pp. 482–490, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. F. Burdío, P. Tobajas, R. Quesada-Diez et al., “Distant infusion of saline may enlarge coagulation volume during radiofrequency ablation of liver tissue using cool-tip electrodes without impairing predictability,” American Journal of Roentgenology, vol. 196, no. 6, pp. W837–W843, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. D. Haemmerich, L. Chachati, A. S. Wright, D. M. Mahvi, F. T. Lee Jr., and J. G. Webster, “Hepatic radiofrequency ablation with internally cooled probes: effect of coolant temperature on lesion size,” IEEE Transactions on Biomedical Engineering, vol. 50, no. 4, pp. 493–500, 2003. View at Publisher · View at Google Scholar · View at Scopus
  9. J. A. López Molina, M. a. Rivera, and E. Berjano, “Analytical model based on a cylindrical geometry to study RF ablation with needle-like internally cooled electrode,” Mathematical Problems in Engineering, vol. 2012, Article ID 834807, 16 pages, 2012. View at Google Scholar · View at MathSciNet
  10. G. Zorbas and T. Samaras, “Parametric study of radiofrequency ablation in the clinical practice with the use of two-compartment numerical models,” Electromagnetic Biology and Medicine, vol. 32, no. 2, pp. 236–243, 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. T. W. H. Sheu, C. W. Chou, S. F. Tsai, and P. C. Liang, “Three-dimensional analysis for radio-frequency ablation of liver tumor with blood perfusion effect,” Computer Methods in Biomechanics and Biomedical Engineering, vol. 8, no. 4, pp. 229–240, 2005. View at Publisher · View at Google Scholar · View at Scopus
  12. H. H. Pennes, “Analysis of tissue and arterial blood temperatures in the resting human forearm,” Journal of applied physiology, vol. 1, no. 2, pp. 93–122, 1948. View at Google Scholar · View at Scopus
  13. M. Necati Ozisik, Heat Conduction, John Wiley & Sons, 1993.
  14. V. Alexiades and A. D. Solomon, Mathematical Modeling of Melting and Freezing Processes, Hemisphere, Washington, DC, USA, 1993.
  15. D. Haemmerich, D. J. Schutt, A. W. Wright, J. G. Webster, and D. M. Mahvi, “Electrical conductivity measurement of excised human metastatic liver tumours before and after thermal ablation,” Physiological Measurement, vol. 30, no. 5, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. U. Zurbuchen, F. Poch, O. Gemeinhardt et al., “Determination of the electrical conductivity of human liver metastases: impact on therapy planning in the radiofrequency ablation of liver tumors,” Acta Radiologica, vol. 58, no. 2, pp. 164–169, 2017. View at Publisher · View at Google Scholar
  17. R. M. Irastorza, M. Trujillo, J. Martel Villagrán, and E. Berjano, “Computer modelling of RF ablation in cortical osteoid osteoma: assessment of the insulating effect of the reactive zone,” International Journal of Hyperthermia, vol. 32, no. 3, pp. 221–230, 2016. View at Publisher · View at Google Scholar · View at Scopus
  18. M. Trujillo and E. Berjano, “Review of the mathematical functions used to model the temperature dependence of electrical and thermal conductivities of biological tissue in radiofrequency ablation,” International Journal of Hyperthermia, vol. 29, no. 6, pp. 590–597, 2013. View at Publisher · View at Google Scholar · View at Scopus
  19. M. Trujillo, J. Bon, M. José Rivera, F. Burdío, and E. Berjano, “Computer modelling of an impedance-controlled pulsing protocol for RF tumour ablation with a cooled electrode,” International Journal of Hyperthermia, vol. 32, no. 8, pp. 931–939, 2016. View at Publisher · View at Google Scholar · View at Scopus
  20. S. N. Goldberg, M. C. Stein, G. S. Gazelle, R. G. Sheiman, J. B. Kruskal, and M. E. Clouse, “Percutaneous radiofrequency tissue ablation: optimization of pulsed-radiofrequency technique to increase coagulation necrosis,” Journal of Vascular and Interventional Radiology, vol. 10, no. 7, pp. 907–916, 1999. View at Publisher · View at Google Scholar · View at Scopus
  21. J. Alba, A. Gonzalez-Suarez, M. Trujillo, and E. Berjano, “Theoretical and experimental study on RF tumor ablation with internally cooled electrodes: when does the roll-off occur?” in Proceedings of the 33rd Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBS '11), pp. 314–317, IEEE, Boston, Mass, USA, September 2011. View at Publisher · View at Google Scholar · View at Scopus