Applied Mathematics and Mechanics >
Electrothermal analysis of radiofrequency tissue ablation with flexible electrodes on large-curvature myocardium surfaces
Received date: 2024-09-12
Revised date: 2025-01-10
Online published: 2025-03-04
Supported by
Project supported by the National Natural Science Foundation of China (Nos. U23A20111 and 12372160)
Copyright
Radiofrequency ablation (RFA) is a form of minimally invasive procedure that precisely ablates abnormal lesions or hyperplastic tissues through thermal energy generated by the radiofrequency current at the tip electrode of the flexible catheter, which aims to partially or fully restore the function of the corresponding tissues or organs. Accurate prediction and control of thermal fields are crucial for clinical thermal ablation to ensure precise control of the ablation lesion size and prevent excessive burning of healthy tissues. In this study, an axisymmetric analytical model is developed for the electrothermal analysis of RFA in the cambered tissue surface and verified with the finite element analysis (FEA), which incorporates both the thermal field induced by the radiofrequency current and Pennes' biothermal effect. This model utilizes analytically derived electric and thermal fields to accurately predict the increase in the tissue temperature and the time-varying size of ablation lesion in the tissue. Furthermore, the parameters such as the input current density, curvature, and convective heat transfer coefficient of blood have a significant effect on the thermal field and thus the ablation lesion size. This electrothermal analytical model with a large curvature may provide a theoretical foundation and guidance for the future RFA applications on large-curvature biological surfaces, thereby enhancing accuracy, reducing the need for re-ablation, and lowering the costs associated with the design and production of ablation catheters.
Jiayun CHEN, Bochuan JIANG, Qi ZHAO, Yuhang LI, Yafei YIN, Xuanqing FAN . Electrothermal analysis of radiofrequency tissue ablation with flexible electrodes on large-curvature myocardium surfaces[J]. Applied Mathematics and Mechanics, 2025 , 46(3) : 573 -590 . DOI: 10.1007/s10483-025-3229-8
| [1] | TOWNSEND, C. M. Sabiston Textbook of Surgery: The Biological Basis of Modern Surgical Practice, 21st ed., Elsevier, City of Saint Louis, 217 (2021) |
| [2] | KOTTKAMP, H., HINDRICKS, G., P?NISCH, C., BERTAGNOLLI, L., MOSER, F., HILBERT, S., RIEGER, A., and SOMMER, P. Global multielectrode contact-mapping plus ablation with a single catheter in patients with atrial fibrillation: global AF study. Journal of Cardiovascular Electrophysiology, 30, 2248–2255 (2019) |
| [3] | REDDY, V. Y., SCHILLING, R., GRIMALDI, M., HORTON, R., NATALE, A., RIVA, S., TONDO, C., KUCK, K. H., NEUZIL, P., MCINNIS, K., BISHARA, M., ZHANG, B., GOVARI, A., ABDELAAL, A., and MANSOUR, M. Pulmonary vein isolation with a novel multielectrode radiofrequency balloon catheter that allows directionally tailored energy delivery: short-term outcomes from a multicenter first-in-human study (RADIANCE). Circulation : Arrhythmia and Electrophysiology, 12, e007541 (2019) |
| [4] | DHILLON, G. S., HONARBAKHSH, S., DI MONACO, A., COLING, A. E., LENKA, K., PIZZAMIGLIO, F., HUNTER, R. J., HORTON, R., MANSOUR, M., NATALE, A., REDDY, V., GRIMALDI, M., NEUZIL, P., TONDO, C., and SCHILLING, R. J. Use of a multi-electrode radiofrequency balloon catheter to achieve pulmonary vein isolation in patients with paroxysmal atrial fibrillation: 12-month outcomes of the radiance study. Journal of Cardiovascular Electrophysiology, 31, 1259–1269 (2020) |
| [5] | XUE, Z., JIN, T., XU, S., BAI, K., HE, Q., ZHANG, F., CHENG, X., JI, Z., PANG, W., SHEN, Z., SONG, H., SHUAI, Y., and ZHANG, Y. H. Assembly of complex 3D structures and electronics on curved surfaces. Science Advances, 8, 692 (2022) |
| [6] | SANDHU, A. and NGUYEN, D. T. Forging ahead: update on radiofrequency ablation technology and techniques. Journal of Cardiovascular Electrophysiology, 31, 360–369 (2020) |
| [7] | HABIBI, M., BERGER, R. D., and CALKINS, H. Radiofrequency ablation: technological trends, challenges, and opportunities. EP Europace, 23, 511–519 (2021) |
| [8] | AMATRIAIN, A., PARRA, I., RUBIO, G., and VALERO, E. Mathematical modeling of thermal ablation treatments in heart arrhythmias. 14th WCCM-ECCOMAS Congress (eds. CHINESTA, F., ABGRALL, R., ALLIX, O., and KALISKE, M.), Scipedia, Virtual (2021) |
| [9] | AMATRIAIN CARBALLO, A. Mathematical Modeling and Numerical Simulation of Thermal Ablation Treatments in Heart Arrhythmias, M. Sc. dissertation, Complutense University of Madrid, 49–50 (2019) |
| [10] | HUMPHREY, J. D. Continuum thermomechanics and the clinical treatment of disease and injury. Applied Mechanics Reviews, 56(2), 231–260 (2003) |
| [11] | XU, F., LU, T. J., SEFFEN, K. A., and NG, E. Y. K. Mathematical modeling of skin bioheat transfer. Applied Mechanics Reviews, 62(5), 050801 (2009) |
| [12] | LIN, M., GENIN, G. M., XU, F., and LU, T. Thermal pain in teeth: electrophysiology governed by thermomechanics. Applied Mechanics Reviews, 66(3), 030801 (2014) |
| [13] | GUPTA, P. and SRIVASTAVA, A. Non-Fourier transient thermal analysis of biological tissue phantoms subjected to high intensity focused ultrasound. International Journal of Heat and Mass Transfer, 136, 1052–1063 (2019) |
| [14] | SINGH, G., KUMAR, N., and AVTI, P. K. Computational evaluation of effectiveness for intratumoural injection strategies in magnetic nanoparticle assisted thermotherapy. International Journal of Heat and Mass Transfer, 148, 119129 (2020) |
| [15] | TOPOL, H., DEMIRKOPARAN, H., and PENCE, T. J. Fibrillar collagen: a review of the mechanical modeling of strain-mediated enzymatic turnover. Applied Mechanics Reviews, 73(5), 050802 (2021) |
| [16] | PREECHAPHONKUL, W. and RATTANADECHO, P. The comparative of the performance for predicted thermal models during microwave ablation process using a slot antenna. Case Studies in Thermal Engineering, 25, 100908 (2021) |
| [17] | HELLMICH, C., UKAJ, N., SMEETS, B., VAN OOSTERWYCK, H., FILIPOVIC, N., ZELAYA-LAINEZ, L., KALLIAUER, J., and SCHEINER, S. Hierarchical biomechanics: concepts, bone as prominent example, and perspectives beyond. Applied Mechanics Reviews, 74(3), 030802 (2022) |
| [18] | SELMI, M., BAJAHZAR, A., and BELMABROUK, H. Effects of target temperature on thermal damage during temperature-controlled MWA of liver tumor. Case Studies in Thermal Engineering, 31, 101821 (2022) |
| [19] | GUNJAL, A., SRIVASTAVA, A., and ATREY, M. D. Multiple cryoprobe placement strategy for a single freeze cryosurgery planning. Case Studies in Thermal Engineering, 34, 101992 (2022) |
| [20] | SHAO, Y. L., LEO, H. L., and CHUA, K. J. Studying of the thermal performance of a hybrid cryo-RFA treatment of a solid tumor. International Journal of Heat and Mass Transfer, 122, 410–420 (2018) |
| [21] | IRASTORZA, R. M., GONZALEZ-SUAREZ, A., PéREZ, J. J., and BERJANO, E. Differences in applied electrical power between full thorax models and limited-domain models for RF cardiac ablation. International Journal of Hyperthermia, 37, 677–687 (2020) |
| [22] | YAN, S., GU, K., WU, X., and WANG, W. Computer simulation study on the effect of electrode-tissue contact force on thermal lesion size in cardiac radiofrequency ablation. International Journal of Hyperthermia, 37, 37–48 (2020) |
| [23] | SINGH, S. and MELNIK, R. Computational modeling of cardiac ablation incorporating electrothermomechanical interactions. Journal of Engineering and Science in Medical Diagnostics and Therapy, 3, 041004 (2020) |
| [24] | PéREZ, J. J., GONZáLEZ-SUáREZ, A., NADAL, E., and BERJANO, E. Thermal impact of replacing constant voltage by low-frequency sine wave voltage in RF ablation computer modeling. Computer Methods and Programs in Biomedicine, 195, 105673 (2020) |
| [25] | BARNOON, P. and BAKHSHANDEHFARD, F. Thermal management in a biological tissue in order to destroy tissue under local heating process. Case Studies in Thermal Engineering, 26, 101105 (2021) |
| [26] | KHO, A. S. K., OOI, E. H., FOO, J. J., and OOI, E. T. The effects of vaporisation, condensation and diffusion of water inside the tissue during saline-infused radiofrequency ablation of the liver: a computational study. International Journal of Heat and Mass Transfer, 194, 123062 (2022) |
| [27] | WONGCHADAKUL, P., DATTA, A. K., and RATTANADECHO, P. Natural convection effects on heat transfer in a porous tissue in 3-D radiofrequency cardiac ablation. International Journal of Heat and Mass Transfer, 204, 123832 (2023) |
| [28] | BERJANO, E. J. Theoretical modeling for radiofrequency ablation: state-of-the-art and challenges for the future. BioMedical Engineering OnLine, 5, 24 (2006) |
| [29] | MOLINA, J. A. L., RIVERA, M. J., TRUJILLO, M., and BERJANO, E. J. Effect of the thermal wave in radiofrequency ablation modeling: an analytical study. Physics in Medicine & Biology, 53, 1447–1462 (2008) |
| [30] | LóPEZ MOLINA, J. A., RIVERA, M. J., TRUJILLO, M., and BERJANO, E. J. Thermal modeling for pulsed radiofrequency ablation: analytical study based on hyperbolic heat conduction. Medical Physics, 36, 1112–1119 (2009) |
| [31] | GONZáLEZ-SUáREZ, A., PéREZ, J. J., IRASTORZA, R. M., D’AVILA, A., and BERJANO, E. Computer modeling of radiofrequency cardiac ablation: 30 years of bioengineering research. Computer Methods and Programs in Biomedicine, 214, 106546 (2022) |
| [32] | EREZ, A. and SHITZER, A. Controlled destruction and temperature distributions in biological tissues subjected to monoactive electrocoagulation. Journal of Biomechanical Engineering, 102, 42–49 (1980) |
| [33] | HAINES, D. E. and WATSON, D. D. Tissue heating during radiofrequency catheter ablation: a thermodynamic model and observations in isolated perfused and superfused canine right ventricular free wall. Pacing and Clinical Electrophysiology, 12(6), 962–976 (1989) |
| [34] | CUI, Y., LI, Y., and XING, Y. Sweat effects on the thermal analysis of epidermal electronic devices integrated with human skin. International Journal of Heat and Mass Transfer, 127, 97–104 (2018) |
| [35] | HOBINY, A. D. and ABBAS, I. A. Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source. International Journal of Heat and Mass Transfer, 124, 1011–1014 (2018) |
| [36] | YIN, Y., LI, Y., and LI, M. Thermal analysis of the flexible electronics affixed on large curvature myocardium surface. International Journal of Heat and Mass Transfer, 147, 118983 (2020) |
| [37] | KIM, D. H., LU, N., GHAFFARI, R., KIM, Y. S., LEE, S. P., XU, L., WU, J., KIM, R. H., SONG, J., LIU, Z., VIVENTI, J., DE GRAFF, B., ELOLAMPI, B., MANSOUR, M., SLEPIAN, M. J., HWANG, S., MOSS, J. D., WON, S. M., HUANG, Y., LITT, B., and ROGERS, J. A. Materials for multifunctional balloon catheters with capabilities in cardiac electrophysiological mapping and ablation therapy. Nature Materials, 10, 316–323 (2011) |
| [38] | KIM, D. H., GHAFFARI, R., LU, N., WANG, S., LEE, S. P., KEUM, H., D’ANGELO, R., KLINKER, L., SU, Y., LU, C., KIM, Y. S., AMEEN, A., LI, Y., ZHANG, Y., DE GRAFF, B., HSU, Y. Y., LIU, Z., RUSKIN, J., XU, L., LU, C., OMENETTO, F. G., HUANG, Y., MANSOUR, M., SLEPIAN, M. J., and ROGERS, J. A. Electronic sensor and actuator webs for large-area complex geometry cardiac mapping and therapy. Proceedings of the National Academy of Sciences, 109, 19910–19915 (2012) |
| [39] | KOH, A., GUTBROD, S. R., MEYERS, J. D., LU, C., WEBB, R. C., SHIN, G., LI, Y., KANG, S. K., HUANG, Y., EFIMOV, I. R., and ROGERS, J. A. Ultrathin injectable sensors of temperature, thermal conductivity, and heat capacity for cardiac ablation monitoring. Advanced Healthcare Materials, 5, 373–381 (2016) |
| [40] | CONSIGLIERI, L. Analytical solutions in the modeling of the local RF ablation. Journal of Mechanics in Medicine and Biology, 16, 1650071 (2016) |
| [41] | HU, M., FENG, Z., CHU, Y., and LI, Y. Electrothermal analysis of radiofrequency tissue ablation with injectable flexible electrodes considering bio-heat transfer. Theoretical and Applied Mechanics Letters, 11, 100258 (2021) |
| [42] | AIJAZ, M., DAR, J. G., ALMANJAHIE, I. M., and ALSHAHRANI, F. Temperature distribution in tumour tissue during targeted destruction by heat: a hyperbolic bioheat equation approach. Case Studies in Thermal Engineering, 50, 103491 (2023) |
| [43] | KAOUK, Z., SHAHIDI, A. V., SAVARD, P., and MOLIN, F. Modelling of myocardial temperature distribution during radio-frequency ablation. Medical & Biological Engineering & Computing, 34, 165–170 (1996) |
| [44] | SHAHIDI, A. V. and SAVARD, P. A finite element model for radiofrequency ablation of the myocardium. IEEE Transactions on Biomedical Engineering, 41, 963–968 (1994) |
| [45] | KIM, T. I., JUNG, Y. H., SONG, J., KIM, D., LI, Y., KIM, H. S., SONG, I. S., WIERER, J. J., PAO, H. A., HUANG, Y., and ROGERS, J. A. High-efficiency, microscale GaN light-emitting diodes and their thermal properties on unusual substrates. Small, 8(11), 1643–1649 (2012) |
| [46] | ANDREANO, A. and BRACE, C. L. A comparison of direct heating during radiofrequency and microwave ablation in ex vivo liver. CardioVascular and Interventional Radiology, 36(2), 505–511 (2013) |
| [47] | DOSS, J. D. Calculation of electric fields in conductive media. Medical Physics, 9, 566–573 (1982) |
| [48] | SINGH, S. and MELNIK, R. Thermal ablation of biological tissues in disease treatment: a review of computational models and future directions. Electromagnetic Biology and Medicine, 39, 49–88 (2020) |
| [49] | PENNES, H. H. Analysis of tissue and arterial blood temperatures in the resting human forearm. Journal of Applied Physiology, 1(2), 93–122 (1948) |
| [50] | WOOD, M., GOLDBERG, S., LAU, M., GOEL, A., ALEXANDER, D., HAN, F., and FEINSTEIN, S. Direct measurement of the lethal isotherm for radiofrequency ablation of myocardial tissue. Circulation: Arrhythmia and Electrophysiology, 4(3), 373–378 (2011) |
| [51] | WANG, J., MENG, X., LI, H., CUI, Y., HAN, J., and XU, C. Prospective randomized comparison of left atrial and biatrial radiofrequency ablation in the treatment of atrial fibrillation. European Journal of Cardiothoracic Surgery, 35(1), 116–122 (2009) |
| [52] | CAPPATO, R., CALKINS, H., CHEN, S. A., DAVIES, W., IESAKA, Y., KALMAN, J., KIM, Y. H., KLEIN, G., NATALE, A., PACKER, D., SKANES, A., AMBROGI, F., and BIGANZOLI, E. Updated worldwide survey on the methods, efficacy, and safety of catheter ablation for human atrial fibrillation. Circulation: Arrhythmia and Electrophysiology, 3, 32–38 (2010) |
| [53] | WHITAKER, J., RAJANI, R., CHUBB, H., GABRAWI, M., VARELA, M., WRIGHT, M., NIEDERER, S., and O’NEILL, M. D. The role of myocardial wall thickness in atrial arrhythmogenesis. EP Europace, 18(12), 1758–1772 (2016) |
| [54] | HO, S. Y., SANCHEZ-QUINTANA, D., CABRERA, J. A., and ANDERSON, R. H. Anatomy of the left atrium: implications for radiofrequency ablation of atrial fibrillation. Journal of Cardiovascular Electrophysiology, 10, 1525–1533 (1999) |
| [55] | LIU, Y., LIU, Q., YANG, Y., ZHANG, C., YIN, H., WU, J., YAO, L., JIN, L., YANG, J., FENG, L., and XIE, R. Effect of radiofrequency catheter ablation on left atrial structure and function in patients with different types of atrial fibrillation. Scientific Reports, 12, 9511 (2022) |
| [56] | BOUZAS-MOSQUERA, A., BROULLON, F. J., ALVAREZ-GARCIA, N., MENDEZ, E., PETEIRO, J., GANDARA-SAMBADE, T., PRADA, O., MOSQUERA, V. X., and CASTRO-BEIRAS, A. Left atrial size and risk for all-cause mortality and ischemic stroke. Canadian Medical Association Journal, 183(10), E657–E664 (2011) |
| [57] | JAIN, M. K. and WOLF, P. D. A three-dimensional finite element model of radiofrequency ablation with blood flow and its experimental validation. Annals of Biomedical Engineering, 28, 1075–1084 (2000) |
| [58] | XU, F., LU, T. J., and SEFFEN, K. A. Biothermomechanics of skin tissues. Journal of the Mechanics and Physics of Solids, 56(5), 1852–1884 (2008) |
| [59] | LAAKSONEN, M. S., KALLIOKOSKI, K. K., LUOTOLAHTI, M., KEMPPAINEN, J., TERIIS, M., KYROLAINEN, H., NUUTILA, P., and KNUUTI, J. Myocardial perfusion during exercise in endurance-trained and untrained humans. American Journal of Physiology — Regulatory, Integrative and Comparative Physiology, 293(2), R837–R843 (2006) |
/
| 〈 |
|
〉 |