References
- J. C. Chato, “Measurement of thermal properties of growing tumors,” Ann. N. Y. Acad. Sci., vol. 335, pp. 67–85, 1980. DOI: https://doi.org/10.1111/j.1749-6632.1980.tb50737.x.
- J. Liu and L. X. Xu, “Estimation of blood perfusion using phase shift in temperature response to sinusoidal heating at the skin surface,” IEEE Trans. Biomed. Eng., vol. 46, no. 9, pp. 1037–1043, 1999. DOI: https://doi.org/10.1109/10.784134.
- L. Antony et al., “Breast tumor parameter estimation and interactive 3D thermal tomography using discrete thermal sensor data,” Biomed. Phys. Eng. Express, vol. 7, no. 1, pp. 015013, 2021. DOI: https://doi.org/10.1088/2057-1976/abce91.
- H. Metzmacher et al., “Real-time human skin temperature analysis using thermal image recognition for thermal comfort assessment,” Energ. Build., vol. 158, pp. 1063–1078, 2018. DOI: https://doi.org/10.1016/j.enbuild.2017.09.032.
- T. Chaudhuri et al., “Thermal comfort prediction using normalized skin temperature in a uniform built environment,” Energ. Build., vol. 159, pp. 426–440, 2018. DOI: https://doi.org/10.1016/j.enbuild.2017.10.098.
- F. Xu, T. J. Lu, and K. A. Seffen, “Skin thermal pain modeling-a holistic method,” J. Therm. Biol., vol. 33, no. 4, pp. 223–237, 2008. DOI: https://doi.org/10.1016/j.jtherbio.2008.01.004.
- K. S. Shibib, M. A. Munshid, and H. A. Lateef, “The effect of laser power, blood perfusion, thermal and optical properties of human liver tissue on thermal damage in LITT,” Lasers Med. Sci., vol. 32, no. 9, pp. 2039–2046, 2017. DOI: https://doi.org/10.1007/s10103-017-2321-8.
- G. Oguntala et al., “Triple-layer tissue prediction for cutaneous skin burn injury: Analytical solution and parametric analysis,” Int. J. Heat Mass Transfer, vol. 173, pp. 120907, 2021. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2021.120907.
- M. Jamil and E. Ng, “To optimize the efficacy of bioheat transfer in capacitive hyperthermia: A physical perspective,” J. Therm. Biol., vol. 38, no. 5, pp. 272–279, 2013. DOI: https://doi.org/10.1016/j.jtherbio.2013.03.007.
- S. L. Wang et al., “Optimal temperature control of tissue embedded with gold nanoparticles for enhanced thermal therapy based on two-energy equation model,” J. Therm. Biol., vol. 74, pp. 264–274, 2018. DOI: https://doi.org/10.1016/j.jtherbio.2018.04.011.
- K. C. Liu and T. M. Chen, “Comparative study of heat transfer and thermal damage assessment models for hyperthermia treatment,” J. Therm. Biol., vol. 98, pp. 102907, 2021. DOI: https://doi.org/10.1016/j.jtherbio.2021.102907.
- F. Xu, T. J. Lu, and K. A. Seffen, “Biothermomechanics of skin tissues,” J. Mech. Phys. Solids, vol. 56, no. 5, pp. 1852–1884, 2008. DOI: https://doi.org/10.1016/j.jmps.2007.11.011.
- H. H. Pennes, “Analysis of tissue and arterial blood temperatures in the resting human forearm,” J. Appl. Physiol., vol. 1, no. 2, pp. 93–122, 1948. DOI: https://doi.org/10.1152/jappl.1948.1.2.93.
- Z. L. Deng and J. Liu, “Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies,” J. Biomech. Eng., vol. 124, no. 6, pp. 638–649, 2002. DOI: https://doi.org/10.1115/1.1516810.
- F. Xu et al., “Mathematical modeling of skin bioheat transfer,” Appl. Mech. Rev., vol. 62, pp. 050801, 2009. DOI: https://doi.org/10.1115/1.3124646.
- J. Liu, Biological Heat Transfer, 1st ed. (in Chinese). Beijing: The Science Press, 1997.
- A. B. Zhang et al., “A theoretical model for wearable thermoelectric generators considering the effect of human skin,” J. Elec. Mater., vol. 50, no. 3, pp. 1514–1526, 2021. DOI: https://doi.org/10.1007/s11664-020-08695-6.
- Y. Cui, Y. H. Li, and Y. E. Xing, “Sweat effects on the thermal analysis of epidermal electronic devices integrated with human skin,” Int. J. Heat Mass Transfer, vol. 127, pp. 97–104, 2018. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2018.07.105.
- A. W. Richardson et al., “Relationship between deep tissue temperature and blood flow during electromagnetic irradiation,” Arch. Phys. Med. Rehabil., vol. 31, pp. 19–25, 1950.
- K. Mitra et al., “Experimental evidence of hyperbolic heat conduction in processed meat,” J. Heat Transfer, vol. 117, no. 3, pp. 568–573, 1995. DOI: https://doi.org/10.1115/1.2822615.
- A. Banerjee et al., “Temperature distribution in different materials due to short pulse laser irradiation,” Heat Transfer Eng., vol. 26, no. 8, pp. 41–49, 2005. DOI: https://doi.org/10.1080/01457630591003754.
- C. Cattaneo, “Sur une forme de I’equation de la chaleur eliminant le paradoxe d’ine propagation instrantanee,” C. R. Acad. Sci., vol. 247, pp. 431–433, 1958.
- P. Vernotte, “Les paradoxes de la theorie continue de l’equation de la chaleur,” Comp. Rend., vol. 246, pp. 3154–3155, 1958.
- R. A. Guyer and J. A. Krumhansl, “Solution of the linearized phonon Boltzmann equation,” Phys. Rev., vol. 148, no. 2, pp. 766–778, 1966. DOI: https://doi.org/10.1103/PhysRev.148.766.
- S. I. Anisimov, B. L. Kapeliovich, and T. L. Perelman, “Electron emission from metal surfaces exposed to ultrashort laser pulses,” Sov. Phys., vol. 39, pp. 375–377, 1974.
- T. Q. Qiu and C. L. Tien, “Short-pluse laser heating on metals,” Int. J. Heat Mass Transfer, vol. 35, no. 3, pp. 719–726, 1992. DOI: https://doi.org/10.1016/0017-9310(92)90131-B.
- D. Y. Tzou, “A unified field approach for heat conduction from macro- to micro-scales,” J. Heat Transfer, vol. 117, no. 1, pp. 8–16, 1995. DOI: https://doi.org/10.1115/1.2822329.
- D. Y. Tzou, “The generalized lagging response in small-scale and high-rate heating,” Int. J. Heat Mass Transfer, vol. 38, no. 17, pp. 3231–3240, 1995. DOI: https://doi.org/10.1016/0017-9310(95)00052-B.
- C. Kumar and F. Mohammad, “Magnetic nanomaterials for hyperthermia-based therapy and controlled drug delivery,” Adv. Drug Deliv. Rev., vol. 63, no. 9, pp. 789–808, 2011. DOI: https://doi.org/10.1016/j.addr.2011.03.008.
- D. Kumar, S. Singh, and K. N. Rai, “Analysis of classical Fourier, SPL and DPL heat transfer model in biological tissues in presence of metabolic and external heat source,” Heat Mass Transfer, vol. 52, no. 6, pp. 1089–1107, 2016. DOI: https://doi.org/10.1007/s00231-015-1617-0.
- H. M. Youssef and N. A. Alghamdi, “Characterization of thermal damage due to two-temperature high-order thermal lagging in a three-dimensional biological tissue subjected to a rectangular laser pulse,” MDPI Polym., vol. 12, no. 4, pp. 922–935, 2020. DOI: https://doi.org/10.3390/polym12040922.
- D. Kumar and K. N. Rai, “Numerical simulation of time fractional dual-phase-lag model of heat transfer within skin tissue during thermal therapy,” J. Therm. Biol., vol. 67, pp. 49–58, 2017. DOI: https://doi.org/10.1016/j.jtherbio.2017.05.001.
- M. A. Meyers and K. A. Chawla, Mechanical Behavior of Materials, New Jersey: Prentice-Hall, 1999.
- M. A. Ezzat, “The relaxation effects of the volume properties of electrically conducting viscoelastic material,” J. Mater. Sci. Eng. B, vol. 130, no. 1-3, pp. 11–23, 2006. DOI: https://doi.org/10.1016/j.mseb.2006.01.020.
- A. S. El-Karamany and M. A. Ezzat, “Thermal shock problem in generalized thermos-viscoelasticity under four theories,” Int. J. Eng. Sci., vol. 42, no. 7, pp. 649–671, 2004. DOI: https://doi.org/10.1016/j.ijengsci.2003.07.009.
- M. A. Ezzat, “Bio-thermo-mechanics behavior in living viscoelastic tissue under the fractional dual-phase-lag theory,” Arch. Appl. Mech., vol. 91, pp. 3902–3919, 2021. DOI: https://doi.org/10.1007/s00419-021-01984-4.
- M. A. Ezzat, “The effects of thermal and mechanical material properties on tumorous tissue during hyperthermia treatment,” J. Therm. Biol., vol. 92, pp. 102649, 2020. DOI: https://doi.org/10.1016/j.jtherbio.2020.102649.
- X. Li, Q. H. Qin, and X. Tian, “Thermo-viscoelastic analysis of biological tissue during hyperthermia treatment,” Appl. Math. Model., vol. 79, pp. 881–895, 2020. DOI: https://doi.org/10.1016/j.apm.2019.11.007.
- A. Madhukar et al., “Heat conduction in porcine muscle and blood: experiments and time-fractional telegraph equation model,” J. R. Soc. Interface, vol. 16, pp. 20190726, 2019. DOI: https://doi.org/10.1098/rsif.2019.0726.
- J. Ignaczak and M. Ostoja-Starzewski, Thermoelasticity with Finite Wave Speeds, Oxford: Oxford University Press, 2009.
- Y. Xuan and W. Roetzel, “Bioheat equation of the human thermal system,” Chem. Eng. Technol., vol. 20, no. 4, pp. 268–276, 1997. DOI: https://doi.org/10.1002/ceat.270200407.
- W. Roetzel and Y. Xuan, “Transient response of the human limb to an external stimulus,” Int. J. Heat Mass Transfer, vol. 41, no. 1, pp. 229–239, 1998. DOI: https://doi.org/10.1016/S0017-9310(96)00160-3.
- P. Vadasz, “Lack of oscillations in dual-phase-lagging heat conduction for a porous slab subject to imposed heat flux and temperature,” Int. J. Heat Mass Transfer, vol. 48, no. 14, pp. 2822–2828, 2005. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2005.02.005.
- Y. Yin et al., “Skin pain sensation of epidermal electronic device/skin system considering non-Fourier heat conduction,” J. Mech. Phys. Solids, vol. 138, pp. 103927, 2020. DOI: https://doi.org/10.1016/j.jmps.2020.103927.
- K. C. Liu and H. T. Chen, “Investigation for the dual phase lag behavior of bio-heat transfer,” Int. J. Therm. Sci., vol. 49, no. 7, pp. 1138–1146, 2010. DOI: https://doi.org/10.1016/j.ijthermalsci.2010.02.007.
- D. W. Hahn and M. N. Özişik, Heat Conduction, 3rd ed., Hoboken, NJ: John Wiley & Sons, Inc, 2012.
- A. R. Moritz and F. C. Henriques, “Study of thermal injuries II. The relative importance of time and source temperature in the causation of cutaneous burns,” Am. J. Pathol., vol. 23, pp. 695–720, 1947.
- F. Xu, K. A. Seffen, and T. J. Lu, “Non-Fourier analysis of skin biothermomechanics,” Int. J. Heat Mass Transfer, vol. 51, no. 9–10, pp. 2237–2259, 2008. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2007.10.024.
- J. Liu and L. X. Xu, “Boundary information based diagnostics on the thermal states of biological bodies,” Int. J. Heat Mass Transfer, vol. 43, no. 16, pp. 2827–2839, 2000. DOI: https://doi.org/10.1016/S0017-9310(99)00367-1.
- A. Patapoutian et al., “ThermoTRP channels and beyond: Mechanisms of temperature sensation,” Nat. Rev. Neurosci., vol. 4, no. 7, pp. 529–539, 2003. DOI: https://doi.org/10.1038/nrn1141.
- N. C. James and A. M. Richard, Neurobiology of Nociceptors, Oxford: Oxford University Press, 1996.
- E. J. Hall and L. Roizin-Towle, “Biological effects of heat,” Cancer Res., vol. 44, pp. 4708s–4713s, 1984.
- S. B. Field, “ 1985 Douglas Lea memorial lecture. Hyperthermia in the treatment of cancer,” Phys. Med. Biol., vol. 32, no. 7, pp. 789–811, 1987. DOI: https://doi.org/10.1088/0031-9155/32/7/001.
- J. Liu and Z. S. Deng, Physics of Tumor Hyperthermia (in Chinese), Beijing: The Science Press, 2008.
- S. L. Guo, B. L. Wang, and K. F. Wang, “Dual-phase-lag heat conduction and associate fracture mechanics of a ceramic fiber/matrix composite cylinder,” Ceram. Int., vol. 45, no. 4, pp. 4707–4717, 2019. DOI: https://doi.org/10.1016/j.ceramint.2018.11.163.
- L. A. Dombrovsky, V. Timchenko, and M. Jackson, “Indirect heating strategy for laser induced hyperthermia: An advanced thermal model,” Int. J. Heat Mass Transfer, vol. 55, no. 17–18, pp. 4688–4700, 2012. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2012.04.029.