Dual-phase lag effects on thermal damage to biological tissues caused by laser irradiation

A dual-phase lag (DPL) bioheat conduction model, together with the broad beam irradiation method and the rate process equation, is proposed to investigate thermal damage in laser-irradiated biological tissues. It is shown that the DPL bioheat conduction model could predict significantly different temperature and thermal damage in tissues from the hyperbolic thermal wave and Fourier's heat conduction models. It is also found that the DPL bioheat conduction equations can be reduced to the Fourier heat conduction equations only if both phase lag times of the temperature gradient (tau(T)) and the heat flux (tau(q)) are zero. This is different from the DPL model for pure conduction materials, for which it can be reduced to the Fourier's heat conduction model provided that tau(q)=tau(T). Effects of laser parameters and blood perfusion on the thermal damage simulated in tissues are also studied. The result shows that the overall effects of the blood flow on the thermal response and damage are similar to those of the time delay tau(T).

[1]  S. L. Jacques,et al.  Finite element analysis of temperature controlled coagulation in laser irradiated tissue , 1996, IEEE Transactions on Biomedical Engineering.

[2]  M. Chester Second Sound in Solids , 1963 .

[3]  D. Tzou Experimental support for the lagging behavior in heat propagation , 1995 .

[4]  Paul J. Antaki,et al.  New Interpretation of Non-Fourier Heat Conduction in Processed Meat , 2005 .

[5]  H. H. Pennes Analysis of tissue and arterial blood temperatures in the resting human forearm. 1948. , 1948, Journal of applied physiology.

[6]  A. Welch,et al.  The thermal response of laser irradiated tissue , 1984, IEEE Journal of Quantum Electronics.

[7]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[8]  Ashleyj . Welch,et al.  Optical-Thermal Response of Laser-Irradiated Tissue , 1995 .

[9]  D. Tzou A Unified Field Approach for Heat Conduction From Macro- to Micro-Scales , 1995 .

[10]  K. J. Baumeister,et al.  Discussion: “Hyperbolic Heat-Conduction Equation—A Solution for the Semi-Infinite Body Problem” (Baumeister, K. J., and Hamill, T. D., 1969, ASME J. Heat Transfer, 91, pp. 543–548) , 1971 .

[11]  K. J. Baumeister,et al.  Hyperbolic Heat-Conduction Equation—A Solution for the Semi-Infinite Body Problem , 1969 .

[12]  M. J. Maurer,et al.  Non-Fourier Effects at High Heat Flux , 1973 .

[13]  Qingming Luo,et al.  Kinetic thermal response and damage in laser coagulation of tissue , 2002, Lasers in surgery and medicine.

[14]  S L Jacques,et al.  Light transport in tissue: Accurate expressions for one‐dimensional fluence rate and escape function based upon Monte Carlo simulation , 1996, Lasers in surgery and medicine.

[15]  D. Tao,et al.  A NUMERICAL TECHNIQUE FOR DYNAMIC COUPLED THERMOELASTICITY PROBLEMS WITH RELAXATION TIMES , 1989 .

[16]  W. Kaminski Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure , 1990 .

[17]  Guillermo Aguilar,et al.  Modeling the thermal response of porcine cartilage to laser irradiation , 2001 .

[18]  J. K. Chen,et al.  Non-Fourier Heat Conduction Effect on Laser-Induced Thermal Damage in Biological Tissues , 2008 .

[19]  Brian J F Wong,et al.  Rate process analysis of thermal damage in cartilage , 2003, Physics in medicine and biology.

[20]  S Rasteaar Hyperbolic Heat Conduction In Pulsed Laser Irradiation Of Tissue , 1989, Photonics West - Lasers and Applications in Science and Engineering.

[21]  J. K. Chen,et al.  Theoretical analysis of thermal damage in biological tissues caused by laser irradiation. , 2007, Molecular & cellular biomechanics : MCB.

[22]  C. A. Erdman,et al.  On the Interface Temperature of Two Suddenly Contacting Materials , 1975 .

[23]  J M Brunetaud,et al.  Development and experimental in vivo validation of mathematical modeling of laser coagulation , 1994, Lasers in surgery and medicine.

[24]  Scott A. Prahl,et al.  Rate process models for thermal welding , 1997, Photonics West - Biomedical Optics.

[25]  M. K. Moallemi,et al.  Experimental evidence of hyperbolic heat conduction in processed meat , 1995 .

[26]  D. Tzou,et al.  On the Wave Theory in Heat Conduction , 1994 .