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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 71, 2017 - Issue 7
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Original Articles

Uncertainty analysis of thermal damage to living biological tissues by laser irradiation based on a generalized duel-phase lag model

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Pages 693-706 | Received 15 Dec 2016, Accepted 03 Mar 2017, Published online: 27 Apr 2017

References

  • H. H. Pennes, Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm, J. Appl. Physiol., vol. 1, pp. 93–122, 1948.
  • I.-T. Im, S. B. Youn, and K. Kim, Numerical Study on the Temperature Profiles and Degree of Burns in Human Skin Tissue during Combined Thermal Therapy, Numer. Heat Transfer Part, vol. 67, no. 9. pp. 921–933, 2015.
  • A. AlAmiri, K. Khanafer, and K. Vafai, Fluid-Structure Interactions in a Tissue during Hyperthermia, Numer. Heat Transfer Part, vol. 66, pp. 1–16, 2014.
  • D. Y. Tzou, Macro to Microscale Heat Transfer: The Lagging Behavior, Taylor & Francis, Washington, D.C., 1997.
  • P. Vernotte, Les Paradoxes De La ThéOrie Continue De L Equation De La Chaleur, Comptes Rendus, vol. 246, pp. 3154–3155, 1958.
  • P. J. Antaki, New Interpretation of Non-Fourier Heat Conduction in Processed Meat, ASME J. Heat Transfer, vol. 127, pp. 189–193, 2005.
  • D. Y. Tzou and W. Dai, Thermal Lagging in Multi-Carrier Systems, Int. J. Heat and Mass Transfer, vol. 52, pp. 1206–1213, 2009.
  • D. T. Tzou and A. Unified Field, Approach for Heat Conduction from Macro to Microscales, ASME J. Heat Transfer, vol. 117, pp. 8–16, 1995.
  • J. Zhou, J. K. Chen, and Y. Zhang, Dual Phase Lag Effects on Thermal Damage to Biological Tissues Caused by Laser Irradiation, Comput. Biol. Med., vol. 39, pp. 286–293, 2009.
  • H. Askarizadeh and H. Ahmadikia, Analytical Analysis of the Dual-Phase-Lag Model of Bioheat Transfer Equation during Transient Heating of Skin Tissue, Heat and Mass Transfer, vol. 50, no. 12. pp. 1673–1684, 2014.
  • J. Liu, X. Chen, and L. X. Xu, New Thermal Wave Aspects on Burn Evaluation of Skin Subjected to Instantaneous Heating, IEEE Trans. Biomed. Eng., vol. 46, pp. 4420–4428, 1999.
  • K. C. Liu, P. J. Cheng, and Y. N. Wang, Analysis of Non-Fourier Thermal Behavior for Multi-Layer Skin Model, Thermal Sci., vol. 15, no. 1. pp. 61–67, 2011.
  • K. C. Liu and H. T. Chen, Investigation for the Dual Phase Lag Behavior of Bio-Heat Transfer, Int. J. Thermal Sci., vol. 49, pp. 1138–1146, 2010.
  • K. C. Liu and H. T. Chen, Analysis for the Dual-Phase-Lag Bio-Heat Transfer during Magnetic Hyperthermia Treatment, Int. J. Heat Mass Transfer, vol. 52, pp. 1185–1192, 2009.
  • Y. Zhang, Generalized Dual-Phase Lag Bioheat Equations Based on Nonequilibrium Heat Transfer in Living Biological Tissues, Int. J. Heat Mass Transfer, vol. 52, pp. 4829–4834, 2009.
  • N. Afrin, J. Zhou, Y. Zhang, D. Y. Tzou, and J. K. Chen, Numerical Simulation of Thermal Damage to Living Biological Tissue Induced by Laser Irradiation Based on a Generalized Duel Phase Lag Model, Numer. Heat Transfer Part, vol. 61, pp. 483–501, 2012.
  • H. Pang, Y. Zhang, and P. F. Pai, Uncertainty Analysis of Solid-Liquid-Vapor Phase Change of a Metal Particle Subject to Nanosecond Laser Heating, J. Manuf. Sci. Eng., vol. 135, no. 2. pp. 021009, 2013.
  • S. K. Padmanabhan and R. Pitchumani, Stochastic Modeling of Nanoisothermal Flow during Resin Transfer Molding Processes, Int. J. Heat Mass Transf, vol. 42, no. 16. pp. 3057–3070, 1999.
  • U. M. Diwekar and E. S. Rubin, Stochastic Modeling of Chemical Processes, Comput. Chem. Eng., vol. 15, no. 2. pp. 105–114, 1991.
  • A. Marwadi and R. Pitchumani, Numerical Simulations of an Optical Fiber Drawing Process under Uncertainty, J. Lighwave Technol., vol. 26 no. 5. pp. 580–587, 2008.
  • A. Marwadi and R. Pitchumani, Effect of Parameter Uncertainty on the Performance Variability of Proton Exchange Membrane (PEM) Fuel Cells, J. Power Sour., vol. 160, pp. 232–245, 2006.
  • N. Afrin, Y. Zhang, and J. K. Chen, Uncertainty Analysis of Melting and Resolidification of Gold Film Irradiated by Nano-to Femtosecond Lasers under Stochastic Method, J. Heat Transfer, vol. 138, no. 6. pp. 032313–062301, 2016.
  • A. J. Welch, The Thermal Response of Laser Irradiated Tissue, IEEE J. Quantum Electron., vol. 20, no. 12. pp. 1471–1481, 1984.
  • F. Xu, T. J. Lu, K. A. Seffen, and E. Y. K. Ng, Mathematical Modeling of Skin Bioheat Transfer, ASME Appl. Mech. Rev., vol. 62, pp. 050801, 2009.

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