A numerical approach to non-Fourier heat transfer in liver tumor during laser irradiation

Document Type : Research Article

Authors

Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran

Abstract

Thermal therapy is a type of cancer treatment that uses heat to kill cancer cells, but it also may harm healthy tissue. Numerical simulations can help to accurately analyze the thermal damage of the tissue during heat exposure. The target of this study is to investigate the effect of time lags on the thermal response of the biological tissue during laser irradiation to the tumoral tissue. The classical Fourier, single phase lag (SPL) and dual phase lag (DPL) models of bio-heat transfer are implemented and compared. The numerical solution based on the finite volume method (FVM) is applied to solve the bio-heat transfer equations. Beer-Lambert’s law is applied to determine the heat source distribution caused by the laser irradiation. The thermal damage caused by the laser exposure for the three models is discussed. Results show that the DPL model predicts a significantly different thermal damage from the classical Fourier and the SPL models. It is observed that the DPL model predicts the maximum temperature 4.1 ˚C and 5.7 ˚C less than the Fourier and the SPL models, respectively. The deviation between the maximum temperatures obtained by the three models can be attributed to the finite speed of thermal wave propagation in the non-Fourier models.

Keywords

Main Subjects

References

[1] L. Lutgens, J. van der Zee, M. Pijls-Johannesma, D.F. De Haas-Kock, J. Buijsen, G.A. Mastrigt, G. Lammering, D.K. De Ruysscher, P. Lambin, Combined use of hyperthermia and radiation therapy for treating locally advanced cervical carcinoma, The Cochrane database of systematic reviews, (1) (2010) Cd006377.
[2] H.H. Pennes, Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm, Journal of Applied Physiology, 85(1) (1998) 5-34.
[3] W. Kaminski, Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure, Journal of Heat Transfer, 112(3) (1990) 555-560.
[4] C. Cattaneo, A form of heat-conduction equations which eliminates the paradox of instantaneous propagation, Comptes Rendus, 247 (1958) 431.
[5] P. Vernotte, Some possible complications in the phenomena of thermal conduction, Compte Rendus, 252(1) (1961) 2190-2191.
[6] D.Y. Tzou, A Unified Field Approach for Heat Conduction From Macro- to Micro-Scales, Journal of Heat Transfer, 117(1) (1995) 8-16.
[7] M. Jaunich, S. Raje, K. Kim, K. Mitra, Z. Guo, Bio-heat transfer analysis during short pulse laser irradiation of tissues, International Journal of Heat and Mass Transfer, 51(23) (2008) 5511-5521.
[8] J. Zhou, Y. Zhang, J.K. Chen, Non-Fourier Heat Conduction Effect on Laser-Induced Thermal Damage in Biological Tissues, Numerical Heat Transfer, Part A: Applications, 54(1) (2008) 1-19.
[9] Y. Zhang, B. Chen, D. Li, Non-Fourier effect of laser-mediated thermal behaviors in bio-tissues: A numerical study by the dual-phase-lag model, International Journal of Heat and Mass Transfer, 108 (2017) 1428-1438.
[10] J.M. McDonough, I. Kunadian, R.R. Kumar, T. Yang, An alternative discretization and solution procedure for the dual phase-lag equation, Journal of Computational Physics, 219(1) (2006) 163-171.
[11] H. Askarizadeh, H. Ahmadikia, Analytical analysis of the dual-phase-lag model of bioheat transfer equation during transient heating of skin tissue, in, 2014.
[12] D. Kumar, S. Singh, K. Rai, Analysis of Classical Fourier, SPL and DPL Heat Transfer Model in Biological Tissues in Presence of Metabolic and External heat source, 2015.
[13] S.-M. Lin, C.-Y. Li, Analytical solutions of non-Fourier bio-heat conductions for skin subjected to pulsed laser heating, International Journal of Thermal Sciences, 110 (2016) 146-158.
[14] J. Ma, X. Yang, S. Liu, Y. Sun, J. Yang, Exact solution of thermal response in a three-dimensional living bio-tissue subjected to a scanning laser beam, International Journal of Heat and Mass Transfer, 124 (2018) 1107-1116.
[15] A. Welch, The thermal response of laser irradiated tissue, IEEE Journal of Quantum Electronics, 20(12) (1984) 1471-1481.
[16] D. Germain, P. Chevallier, A. Laurent, M. Savart, M. Wassef, H. Saint-Jalmes, MR monitoring of laser-induced lesions of the liver in vivo in a low-field open magnet: Temperature mapping and lesion size prediction, 2001.
[17] S. Soni, H. Tyagi, R.A. Taylor, A. Kumar, Investigation on nanoparticle distribution for thermal ablation of a tumour subjected to nanoparticle assisted thermal therapy, Journal of thermal biology, 43 (2014) 70-80.
[18] R. Van Hillegersberg, J.W. Pickering, M. Aalders, J.F. Beek, Optical properties of rat liver and tumor at 633 nm and 1064 nm: photofrin enhances scattering, Lasers in surgery and medicine, 13(1) (1993) 31-39.
[19] C. Li, J. Miao, K. Yang, X. Guo, J. Tu, P. Huang, D. Zhang, Fourier and non-Fourier bio-heat transfer models to predict ex vivo temperature response to focused ultrasound heating, 2018.
AUT Journal of Modeling and Simulation
Volume 52, Issue 2
December 2020
Pages 259-268

Files

Share

How to cite

Statistics