References
- Huang X, Jain PK, El-Sayed IH, et al. Plasmonic photothermal therapy (PPTT) using gold nanoparticles. Lasers Med Sci. 2008;23(3):217. doi: https://doi.org/10.1007/s10103-007-0470-x
- Zhou J, Chen J, Zhang Y. Dual-phase lag effects on thermal damage to biological tissues caused by laser irradiation. Comput Biol Med. 2009;39(3):286–293. doi: https://doi.org/10.1016/j.compbiomed.2009.01.002
- Gabay I, Abergel A, Vasilyev T, et al. Temperature-controlled two-wavelength laser soldering of tissues. Lasers Surg Med. 2011;43(9):907–913. doi: https://doi.org/10.1002/lsm.21123
- Mahjoob S, Vafai K. Analytical characterization of heat transport through biological media incorporating hyperthermia treatment. Int J Heat Mass Transf. 2009;52(5–6):1608–1618. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2008.07.038
- Pennes HH. Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol Respir Environ Exerc Physiol. 1948;1(2):93–122.
- Gupta PK, Singh J, Rai KN, et al. Solution of the heat transfer problem in tissues during hyperthermia by finite difference–decomposition method. Appl Math Comput. 2013;219(12):6882–6892.
- Gupta PK, Singh J, Rai K. Numerical simulation for heat transfer in tissues during thermal therapy. J Therm Biol. 2010;35(6):295–301. doi: https://doi.org/10.1016/j.jtherbio.2010.06.007
- Kumar P, Kumar D, Rai K. A numerical study on dual-phase-lag model of bio-heat transfer during hyperthermia treatment. J Therm Biol. 2015;49:98–105. doi: https://doi.org/10.1016/j.jtherbio.2015.02.008
- Yadav S, Kumar D, Rai KN. Finite element Legendre wavelet Galerkin approach to inward solidification in simple body under most generalized boundary condition. Zeitschrift für Naturforschung A. 2014;69(10-11):501–510. doi: https://doi.org/10.5560/zna.2014-0052
- Dillenseger J-L, Esneault S. Fast FFT-based bioheat transfer equation computation. Comput Biol Med. 2010;40(2):119–123. doi: https://doi.org/10.1016/j.compbiomed.2009.11.008
- Zhu D, Luo Q, Zhu G, et al. Kinetic thermal response and damage in laser coagulation of tissue. Lasers Surg Med. 2002;31(5):313–321. doi: https://doi.org/10.1002/lsm.10108
- Díaz SH, Nelson JS, Wong BJ. Rate process analysis of thermal damage in cartilage. Phys Med Biol. 2003;48(1):19. doi: https://doi.org/10.1088/0031-9155/48/1/302
- Kumar P, Kumar D, Rai K. Numerical simulation of dual-phase-lag bioheat transfer model during thermal therapy. Math Biosci. 2016;281:82–91. doi: https://doi.org/10.1016/j.mbs.2016.08.013
- Dombrovsky L, Timchenko V. Laser induced hyperthermia of superficial tumors: computational models for radiative transfer, combined heat transfer, and degradation of biological tissues. Therm Process Eng. 2015;7(1):24–36.
- Kumar D, Rai K. A study on thermal damage during hyperthermia treatment based on DPL model for multilayer tissues using finite element Legendre wavelet Galerkin approach. J Therm Biol. 2016;62:170–180. doi: https://doi.org/10.1016/j.jtherbio.2016.06.020
- Hobiny AD, Abbas IA. Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source. Int J Heat Mass Transf. 2018;124:1011–1014. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.018
- Abbas IA, Zenkour AM. Dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating. J Comput Theor Nanosci. 2014;11(3):642–645. doi: https://doi.org/10.1166/jctn.2014.3407
- Abbas IA, Youssef HM. Two-temperature generalized thermoelasticity under ramp-type heating by finite element method. Meccanica. 2013;48(2):331–339. doi: https://doi.org/10.1007/s11012-012-9604-8
- Abbas IA. Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity. Forschung im Ingenieurwesen/Eng Res. 2007;71(3-4):215–222. doi: https://doi.org/10.1007/s10010-007-0060-x
- Abbas IA, Abd-Alla AENN, Othman MIA. Generalized magneto-thermoelasticity in a fiber-reinforced anisotropic half-space. Int J Thermophys. 2011;32(5):1071–1085. doi: https://doi.org/10.1007/s10765-011-0957-3
- Zenkour AM, Abbas IA. A generalized thermoelasticity problem of an annular cylinder with temperature-dependent density and material properties. Int J Mech Sci. 2014;84:54–60. doi: https://doi.org/10.1016/j.ijmecsci.2014.03.016
- Marin M. Cesaro means in thermoelasticity of dipolar bodies. Acta Mech. 1997;122(1-4):155–168. doi: https://doi.org/10.1007/BF01181996
- Xu F, Seffen K, Lu T. Non-Fourier analysis of skin biothermomechanics. Int J Heat Mass Transf. 2008;51(9):2237–2259. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2007.10.024
- Ahmadikia H, Fazlali R, Moradi A. Analytical solution of the parabolic and hyperbolic heat transfer equations with constant and transient heat flux conditions on skin tissue. Int Commun Heat Mass Transfer. 2012;39(1):121–130. doi: https://doi.org/10.1016/j.icheatmasstransfer.2011.09.016
- Mitchell JW, Galvez TL, Hengle J, et al. Thermal response of human legs during cooling. J Appl Physiol Respir Environ Exerc Physiol. 1970;29(6):859–865.
- Gardner CM, Jacques SL, Welch A. Light transport in tissue: accurate expressions for one-dimensional fluence rate and escape function based upon Monte Carlo simulation. Lasers Surg Med. 1996;18(2):129–138. doi: https://doi.org/10.1002/(SICI)1096-9101(1996)18:2<129::AID-LSM2>3.0.CO;2-U
- Henriques F Jr, Moritz A. Studies of thermal injury: I. The conduction of heat to and through skin and the temperatures attained therein. A theoretical and an experimental investigation. Am J Pathol. 1947;23(4):530.
- Moritz AR, Henriques F Jr. Studies of thermal injury: II. The relative importance of time and surface temperature in the causation of cutaneous burns. Am J Pathol. 1947;23(5):695.
- Xu Y, Qian R. Analysis of thermal injury process based on enzyme deactivation mechanisms. J Biomech Eng. 1995;117(4):462–465. doi: https://doi.org/10.1115/1.2794208
- Askarizadeh H, Ahmadikia H. Analytical analysis of the dual-phase-lag model of bioheat transfer equation during transient heating of skin tissue. Heat Mass Transfer. 2014;50(12):1673–1684. doi: https://doi.org/10.1007/s00231-014-1373-6
- Tzou DY. Macro-to micro-scale heat transfer: the lagging behavior. Hoboken (NJ): John Wiley & Sons; 1996.