Application of hyperbolic heat transfer model in atrial fibrillation microwave ablation_Journal of Biomedical Engineering

Authors：

ZHANG Meng ^1,2 , TIAN Zhen ^1,2 , CHENG Yanyan ^1,2 , LIU Hongxing ^1,2 ,  NAN Qun ^1,2

1. Department of Biomedical Engineering, Faculty of Environment and Life, Beijing University of Technology, Beijing 100124, P.R.China;
2. Intelligent Physiological Measurement and Clinical Translation, Beijing International Base for Scientific and Technological Cooperation, Beijing 100124, P.R.China;

Corresponding author：

NAN Qun, Email: nanqun@bjut.edu.cn

Keywords：

atrial fibrillation; hyperbolic model; Pennes model; relaxation time; temperature distribution

DOI：

10.7507/1001-5515.202009084

Video：

Export PDF Favorites Scan Get Citation

Abstract Full text Figures/Tables Video References Cited by

The effect of relaxation time in hyperbolic heat transfer model on the temperature field of microwave ablation of atrial fibrillation was investigated. And the results were compared with those calculated by Pennes model. A three-dimensional model of microwave ablation of atrial fibrillation was constructed. The relaxation time (τ) was 0, 1, 5, 8, 10, 15 and 20 s, respectively. And the temperature field of myocardial tissue was obtained. The results showed that the highest temperature of the hyperbolic model was 21.8 ℃ lower than that of the Pennes model at the beginning of ablation. With the increase of ablation time, the highest temperature tended to be the same. The lesion dimensions appeared at 3, 4, 6, 7, 8, 9, and 10 s, respectively after ablation. Therefore, the influence of hyperbolic model on temperature will decrease with the increase of the ablation time. At the beginning of ablation, the relaxation time will hinder the speed of myocardial thermal diffusion. The larger the relaxation time is, the slower the speed of thermal diffusion is. This study provides a reference for the application of hyperbolic model in microwave ablation of atrial fibrillation.

Citation： ZHANG Meng, TIAN Zhen, CHENG Yanyan, LIU Hongxing, NAN Qun. Application of hyperbolic heat transfer model in atrial fibrillation microwave ablation. Journal of Biomedical Engineering, 2021, 38(5): 885-892. doi: 10.7507/1001-5515.202009084 Copy

1.	马长生. 2019年心房颤动治疗新进展. 临床心血管病杂志, 2019, 35(11): 967-971.
2.	Chugh S S, Havmoeller R, Narayanan K, et al. Worldwide epidemiology of atrial fibrillation: a global burden of disease 2010 study. Circulation, 2014, 129(8): 837-847.
3.	Haissaguerre M, Jais P, Shah D C, et al. Spontaneous initiation of atrial fibrillation by ectopic beats originating in the pulmonary veins. N Engl J Med, 1998, 339(10): 659-666.
4.	高崇瀚, 殷跃辉. 肺静脉在心房颤动机制中的作用. 心血管病学进展, 2005, 26(4): 335-337.
5.	王淑萍, 张英杰. 心房颤动导管射频消融治疗策略. 临床荟萃, 2009, 24(2): 163-165.
6.	侯发琴. 心房颤动的射频消融治疗进展. 心血管康复医学杂志, 2010, 19(3): 116-118.
7.	易忠, 郭继鸿. 微波消融治疗心房颤动. 中国心脏起搏与心电生理杂志, 2005, 19(1): 67-69.
8.	Rappaport, C. Cardiac tissue ablation with catheter-based microwave heating. Int J Hyperther, 2004, 20(7): 769-780.
9.	Nath S, Lynch C, Whayne J G, et al. Cellular electrophysiological effects of hyperthermia on isolated guinea pig papillary muscle. implications for catheter ablation. Circulation, 1993, 88(4): 1826.
10.	Liu J, Chen X, Xu L X. New thermal wave aspects on burn evaluation of skin subjected to instantaneous heating. IEEE Trans Biomed Eng, 1999, 46(4): 420-428.
11.	Cattaneo C. A form of heat conduction equation which eliminates the paradox of instantaneous propagation. CR, 1958, 247(4): 431-433.
12.	Vernotte M P. Paradoxes in the continuous theory of the heat equation. CR, 1958, 246(22): 3154-3155.
13.	Tzou D Y. The generalized lagging response in small-scale and high-rate heating. Int J Heat Mass Tran, 1995, 38(17): 3231-3240.
14.	张浙, 刘登瀛. 非傅里叶热传导研究进展. 力学进展, 2000, 30(3): 446-456.
15.	Kumar A, Kumar S, Katiyar V K, et al. Phase change heat transfer during cryosurgery of lung cancer using hyperbolic heat conduction model. Comput Biol Med, 2017, 84: 20-29.
16.	Namakshenas P, Mojra A. Numerical study of non-Fourier thermal ablation of benign thyroid tumor by focused ultrasound (FU). Biocybern Biomed Eng, 2019, 39(3): 571-585.
17.	Singh S, Melnik R V N. Coupled thermo-electro-mechanical models for thermal ablation of biological tissues and heat relaxation time effects. Phys Med Biol, 2019, 64(24): 1-22.
18.	袁彪, 赵胜, 赵忠, 等. 非体外循环下心外膜微波消融治疗心房颤动的临床效果. 中华心血管病杂志, 2006, 34(4): 316-318.
19.	周贤惠, 龙德勇, 汤宝鹏. 二尖瓣峡部的解剖及射频导管消融. 中华心律失常学杂志, 2010, 14(4): 297-301.
20.	南群, 翟飞, 郭雪梅. 心内膜微波逐点房颤消融术的温度场研究. 北京工业大学学报, 2014, 40(10): 1579-1585.
21.	Bernardi P, Cavagnaro M, Lin J C, et al. Distribution of SAR and temperature elevation induced in a phantom by a microwave cardiac ablation catheter. IEEE T Microw Theory, 2004, 52(8): 1978-1986.
22.	Chiang J, Wang P, Brace C L. Computational modelling of microwave tumour ablations. Int J Hyperther, 2013, 29(4): 308-317.
23.	Shih T C, Horng T L, Huang H W, et al. Numerical analysis of coupled effects of pulsatile blood flow and thermal relaxation time during thermal therapy. Int J Heat Mass Tran, 2012, 55(13-14): 3763-3773.
24.	Pennes H H. Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol, 1998, 85(1): 5-34.
25.	刘鹏飞. 心脏房颤导管射频消融损伤的有限元仿真研究. 杭州: 浙江大学, 2012.
26.	Labonte S. Numerical model for radio-frequency ablation of the endocardium and its experimental validation. IEEE Trans Biomed Eng, 1994, 41(2): 108-115.
27.	Kumar A, Kumar S, Katiyar V K, et al. Dual phase lag bio-heat transfer during cryosurgery of lung cancer: comparison of three heat transfer models. J Therm Biol, 2017, 69: 228-237.
28.	Vedavarz A, Kumar S, Moallemi M K. Significance of non-Fourier heat waves in conduction. J Heat Trans-T Asme, 1994, 116(1): 221-224.
29.	Ahmadikia H, Moradi A. Non-Fourier phase change heat transfer in biological tissues during solidification. Heat Mass Transfer, 2012, 48(9): 1559-1568.
30.	Moradi A, Ahmadikia H. Numerical study of the solidification process in biological tissue with blood flow and metabolism effects by the dual phase lag model. P I Mech Eng H, 2012, 226(5): 406-416.
31.	González-Suárez A, Berjano E. Comparative analysis of different methods of modeling the thermal effect of circulating blood flow during RF cardiac ablation. IEEE Trans Biomed Eng, 2016, 63(2): 250-259.
32.	Tungjitkusolmun S, Vorperian V R, Bhavaraju N, et al. Guidelines for predicting lesion size at common endocardial locations during radio-frequency ablation. IEEE Trans Biomed Eng, 2001, 48(2): 194-201.
33.	Liu K C. Thermal propagation analysis for living tissue with surface heating. Int J Therm Sci, 2008, 47(5): 507-513.
34.	Melo J, Adragão P, Neves J, et al. Endocardial and epicardial radiofrequency ablation in the treatment of atrial fibrillation with a new intra-operative device. Eur J Cardio-Thorac, 2000, 18(2): 182-186.
35.	Lin J C. Catheter microwave ablation therapy for cardiac arrhythmias. Bioelectromagnetics, 1999, 20(Suppl 4): 120-132.
36.	赵胜, 袁彪, 赵忠, 等. 不停跳心外膜微波消融治疗心房颤动. 中国医药导刊, 2006, 8(1): 28-29.
37.	Chiu H M, Mohan A S, Weily A R, et al. Analysis of a novel expanded tip wire (ETW) antenna for microwave ablation of cardiac arrhythmias. IEEE Trans Biomed Eng, 2003, 50(7): 890-899.
38.	Melby S J, Zierer A, Kaiser S P, et al. Epicardial microwave ablation on the beating heart for atrial fibrillation: the dependency of lesion depth on cardiac output. J Thorac Cardiov Sur, 2006, 132(2): 355-360.
39.	Kumar D, Singh S, Rai K N. Analysis of classical Fourier, SPL and DPL heat transfer model in biological tissues in presence of metabolic and external heat source. Heat Mass Transfer, 2016, 52(6): 1089-1107.

1. 马长生. 2019年心房颤动治疗新进展. 临床心血管病杂志, 2019, 35(11): 967-971.
2. Chugh S S, Havmoeller R, Narayanan K, et al. Worldwide epidemiology of atrial fibrillation: a global burden of disease 2010 study. Circulation, 2014, 129(8): 837-847.
3. Haissaguerre M, Jais P, Shah D C, et al. Spontaneous initiation of atrial fibrillation by ectopic beats originating in the pulmonary veins. N Engl J Med, 1998, 339(10): 659-666.
4. 高崇瀚, 殷跃辉. 肺静脉在心房颤动机制中的作用. 心血管病学进展, 2005, 26(4): 335-337.
5. 王淑萍, 张英杰. 心房颤动导管射频消融治疗策略. 临床荟萃, 2009, 24(2): 163-165.
6. 侯发琴. 心房颤动的射频消融治疗进展. 心血管康复医学杂志, 2010, 19(3): 116-118.
7. 易忠, 郭继鸿. 微波消融治疗心房颤动. 中国心脏起搏与心电生理杂志, 2005, 19(1): 67-69.
8. Rappaport, C. Cardiac tissue ablation with catheter-based microwave heating. Int J Hyperther, 2004, 20(7): 769-780.
9. Nath S, Lynch C, Whayne J G, et al. Cellular electrophysiological effects of hyperthermia on isolated guinea pig papillary muscle. implications for catheter ablation. Circulation, 1993, 88(4): 1826.
10. Liu J, Chen X, Xu L X. New thermal wave aspects on burn evaluation of skin subjected to instantaneous heating. IEEE Trans Biomed Eng, 1999, 46(4): 420-428.
11. Cattaneo C. A form of heat conduction equation which eliminates the paradox of instantaneous propagation. CR, 1958, 247(4): 431-433.
12. Vernotte M P. Paradoxes in the continuous theory of the heat equation. CR, 1958, 246(22): 3154-3155.
13. Tzou D Y. The generalized lagging response in small-scale and high-rate heating. Int J Heat Mass Tran, 1995, 38(17): 3231-3240.
14. 张浙, 刘登瀛. 非傅里叶热传导研究进展. 力学进展, 2000, 30(3): 446-456.
15. Kumar A, Kumar S, Katiyar V K, et al. Phase change heat transfer during cryosurgery of lung cancer using hyperbolic heat conduction model. Comput Biol Med, 2017, 84: 20-29.
16. Namakshenas P, Mojra A. Numerical study of non-Fourier thermal ablation of benign thyroid tumor by focused ultrasound (FU). Biocybern Biomed Eng, 2019, 39(3): 571-585.
17. Singh S, Melnik R V N. Coupled thermo-electro-mechanical models for thermal ablation of biological tissues and heat relaxation time effects. Phys Med Biol, 2019, 64(24): 1-22.
18. 袁彪, 赵胜, 赵忠, 等. 非体外循环下心外膜微波消融治疗心房颤动的临床效果. 中华心血管病杂志, 2006, 34(4): 316-318.
19. 周贤惠, 龙德勇, 汤宝鹏. 二尖瓣峡部的解剖及射频导管消融. 中华心律失常学杂志, 2010, 14(4): 297-301.
20. 南群, 翟飞, 郭雪梅. 心内膜微波逐点房颤消融术的温度场研究. 北京工业大学学报, 2014, 40(10): 1579-1585.
21. Bernardi P, Cavagnaro M, Lin J C, et al. Distribution of SAR and temperature elevation induced in a phantom by a microwave cardiac ablation catheter. IEEE T Microw Theory, 2004, 52(8): 1978-1986.
22. Chiang J, Wang P, Brace C L. Computational modelling of microwave tumour ablations. Int J Hyperther, 2013, 29(4): 308-317.
23. Shih T C, Horng T L, Huang H W, et al. Numerical analysis of coupled effects of pulsatile blood flow and thermal relaxation time during thermal therapy. Int J Heat Mass Tran, 2012, 55(13-14): 3763-3773.
24. Pennes H H. Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol, 1998, 85(1): 5-34.
25. 刘鹏飞. 心脏房颤导管射频消融损伤的有限元仿真研究. 杭州: 浙江大学, 2012.
26. Labonte S. Numerical model for radio-frequency ablation of the endocardium and its experimental validation. IEEE Trans Biomed Eng, 1994, 41(2): 108-115.
27. Kumar A, Kumar S, Katiyar V K, et al. Dual phase lag bio-heat transfer during cryosurgery of lung cancer: comparison of three heat transfer models. J Therm Biol, 2017, 69: 228-237.
28. Vedavarz A, Kumar S, Moallemi M K. Significance of non-Fourier heat waves in conduction. J Heat Trans-T Asme, 1994, 116(1): 221-224.
29. Ahmadikia H, Moradi A. Non-Fourier phase change heat transfer in biological tissues during solidification. Heat Mass Transfer, 2012, 48(9): 1559-1568.
30. Moradi A, Ahmadikia H. Numerical study of the solidification process in biological tissue with blood flow and metabolism effects by the dual phase lag model. P I Mech Eng H, 2012, 226(5): 406-416.
31. González-Suárez A, Berjano E. Comparative analysis of different methods of modeling the thermal effect of circulating blood flow during RF cardiac ablation. IEEE Trans Biomed Eng, 2016, 63(2): 250-259.
32. Tungjitkusolmun S, Vorperian V R, Bhavaraju N, et al. Guidelines for predicting lesion size at common endocardial locations during radio-frequency ablation. IEEE Trans Biomed Eng, 2001, 48(2): 194-201.
33. Liu K C. Thermal propagation analysis for living tissue with surface heating. Int J Therm Sci, 2008, 47(5): 507-513.
34. Melo J, Adragão P, Neves J, et al. Endocardial and epicardial radiofrequency ablation in the treatment of atrial fibrillation with a new intra-operative device. Eur J Cardio-Thorac, 2000, 18(2): 182-186.
35. Lin J C. Catheter microwave ablation therapy for cardiac arrhythmias. Bioelectromagnetics, 1999, 20(Suppl 4): 120-132.
36. 赵胜, 袁彪, 赵忠, 等. 不停跳心外膜微波消融治疗心房颤动. 中国医药导刊, 2006, 8(1): 28-29.
37. Chiu H M, Mohan A S, Weily A R, et al. Analysis of a novel expanded tip wire (ETW) antenna for microwave ablation of cardiac arrhythmias. IEEE Trans Biomed Eng, 2003, 50(7): 890-899.
38. Melby S J, Zierer A, Kaiser S P, et al. Epicardial microwave ablation on the beating heart for atrial fibrillation: the dependency of lesion depth on cardiac output. J Thorac Cardiov Sur, 2006, 132(2): 355-360.
39. Kumar D, Singh S, Rai K N. Analysis of classical Fourier, SPL and DPL heat transfer model in biological tissues in presence of metabolic and external heat source. Heat Mass Transfer, 2016, 52(6): 1089-1107.

Previous Article
Biomechanical study of different approach for lumbar interbody fusion surgeries under vibration load
Next Article
Quantitative analysis of breathing patterns based on wearable systems

Journal of Biomedical Engineering

Application of hyperbolic heat transfer model in atrial fibrillation microwave ablation

Abstract Full text Figures/Tables Video References Cited by

Previous Article

Next Article

Format

Content