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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 54, 2008 - Issue 1
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Original Articles

Non-Fourier Heat Conduction Effect on Laser-Induced Thermal Damage in Biological Tissues

Jianhua Zhou Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri, USA
,
Yuwen Zhang Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri, USA
&
J. K. Chen Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri, USACorrespondence[email protected]
Pages 1-19 | Received 25 Jul 2007, Accepted 13 Feb 2008, Published online: 14 Apr 2008

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Bhagya Shree Meena & Sushil Kumar. (2022) Computational study on 2D space-time fractional single-phase-lag bioheat model using RBF and Chebyshev polynomial based space-time collocation method. Waves in Random and Complex Media 0:0, pages 1-28.
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Srikumar Panda & Ranjan Das. (2018) A golden section search method for the identification of skin subsurface abnormalities. Inverse Problems in Science and Engineering 26:2, pages 183-202.
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Subhash C. Mishra & Rahul K. Chaurasia. (2015) Analysis of Dual-Phase-Lag Non-Fourier Conduction and Radiation Heat Transfer in a Planar Slab. Numerical Heat Transfer, Part A: Applications 68:9, pages 1010-1022.
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S. Shenoy & Y. Bayazitoglu. (2015) 3-Omega Method for Thin Films with the Non-Fourier Boundary Condition. Numerical Heat Transfer, Part B: Fundamentals 67:5, pages 363-375.
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Arka Bhowmik, Ramjee Repaka & SubhashC. Mishra. (2015) Thermal Analysis of the Increasing Subcutaneous Fat Thickness Within the Human Skin—A Numerical Study. Numerical Heat Transfer, Part A: Applications 67:3, pages 313-329.
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Masoud Molaei Najafabadi, Ardalan Shafiei Ghazani & Hassan Basirat Tabrizi. (2013) Numerical Simulation of Non-Fourier Temperature Behavior of Functionally Graded Materials in a Slab with Surface Radiation. Numerical Heat Transfer, Part A: Applications 63:3, pages 226-243.
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Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
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Atsushi Sakurai, Shigenao Maruyama & Koji Matsubara. (2010) The Radiation Element Method Coupled with the Bioheat Transfer Equation Applied to the Analysis of the Photothermal Effect of Tissues. Numerical Heat Transfer, Part A: Applications 58:8, pages 625-640.
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Amit Kumar Shaw, Divya Khurana & Sanjeev Soni. (2023) Thermal damage analysis of sub-surface soft tissue sarcoma for indocyanine green mediated photothermal cancer therapy. Thermal Science and Engineering Progress 46, pages 102168.
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Alexander I. ZhmakinAlexander I. Zhmakin. 2023. Non-Fourier Heat Conduction. Non-Fourier Heat Conduction 1 35 .
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Mahmoud Ragab, Ahmed E. Abouelregal, Huda F. AlShaibi & Rasha A. Mansouri. (2021) Heat Transfer in Biological Spherical Tissues during Hyperthermia of Magnetoma. Biology 10:12, pages 1259.
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Jaideep Dutta & Balaram Kundu. (2021) Hybrid analytical models to estimate non-equilibrium temperatures in live-tissues based on appropriate initial thermal-field and non-invasive therapeutic heating. Journal of Applied Physics 129:10.
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Chen-yang Lyu & Ren-jun Zhan. (2021) Constitutive Equations Developed for Modeling of Heat Conduction in Bio-tissues: A Review. International Journal of Thermophysics 42:2.
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Hamdy M. Youssef & Alaa A. El-Bary. (2020) The thermal behavior analysis of the human eye under the heat conduction law with one relaxation time. Alexandria Engineering Journal 59:6, pages 5263-5271.
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Jaideep Dutta & Balaram Kundu. (2020) Two-dimensional hybrid analytical approach for the investigation of thermal aspects in human tissue undergoing regional hyperthermia therapy. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234:20, pages 3951-3966.
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Siladitya Sukumar & Satya Prakash Kar. (2020) A Combined Conduction–Radiation Model for Analyzing the Role of Radiation on Freezing of a Biological Tissue. Journal of Thermal Science and Engineering Applications 12:1.
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Guillaume Lambou Ymeli, Hervé Thierry Tagne Kamdem, Réné Tchinda & Myriam Lazard. (2019) Analytical layered solution of radiation and non–Fourier conduction problems in optically complex media. International Journal of Heat and Mass Transfer 145, pages 118712.
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Alaa K. Khamis, Alaa A. El-Bary, Hamdy M. Youssef & Amir M. Nasr. (2019) Two-temperature high-order lagging effect of living tissue subjected to moving heat source. Microsystem Technologies 25:12, pages 4731-4740.
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S. Falahatkar, A. Nouri-Borujerdi, A. Mohammadzadeh & M. Najafi. (2018) Evaluation of heat conduction in a laser irradiated tooth with the three-phase-lag bio-heat transfer model. Thermal Science and Engineering Progress 7, pages 203-212.
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Jaideep Dutta & Balaram Kundu. (2018) Two-dimensional closed-form model for temperature in living tissues for hyperthermia treatments. Journal of Thermal Biology 71, pages 41-51.
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S. Falahatkar, A. Nouri-Borujerdi, M. Najafi & A. Mohammadzadeh. (2017) Numerical solution of non-Fourier heat transfer during laser irradiation on tooth layers. Journal of Mechanical Science and Technology 31:12, pages 6085-6092.
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S. Saedodin & M. S. M. Barforoush. (2018) An exact solution for thermal analysis of a cylindrical object using hyperbolic thermal conduction model. Thermophysics and Aeromechanics 24:6, pages 909-920.
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Yong Zhang, Bin Chen & Dong Li. (2017) 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, pages 1428-1438.
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Mojtaba Baghban & Mohammad Bagher Ayani. (2016) Estimation of surface heat flux in a one-dimensional hyperbolic bio-heat conduction problem with temperature-dependent properties during thermal therapy. Journal of the Brazilian Society of Mechanical Sciences and Engineering 39:5, pages 1479-1489.
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P. Forghani, H. Ahmadikia & A. Karimipour. (2017) Non-Fourier Boundary Conditions Effects on the Skin Tissue Temperature Response. Heat Transfer-Asian Research 46:1, pages 29-48.
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G.H. Yeoh, X. Gu, V. Timchenko, S.M. Valenzuela & B.A. Cornell. (2016) High order accurate dual-phase-lag numerical model for microscopic heating in multiple domains. International Communications in Heat and Mass Transfer 78, pages 21-28.
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Balaram Kundu. (2016) Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications. Applied Mathematics and Computation 285, pages 204-216.
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Aritra Mukherjee, Arnab Lahiri & Subhash C. Mishra. (2016) Analyses of dual-phase lag heat conduction in 1-D cylindrical and spherical geometry – An application of the lattice Boltzmann method. International Journal of Heat and Mass Transfer 96, pages 627-642.
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Hossein Askarizadeh & Hossein Ahmadikia. (2015) Analytical study on the transient heating of a two-dimensional skin tissue using parabolic and hyperbolic bioheat transfer equations. Applied Mathematical Modelling 39:13, pages 3704-3720.
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P. Hooshmand, A. Moradi & B. Khezry. (2015) Bioheat transfer analysis of biological tissues induced by laser irradiation. International Journal of Thermal Sciences 90, pages 214-223.
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Huang-Wen Huang & Tzyy-Leng Horng. 2015. Heat Transfer and Fluid Flow in Biological Processes. Heat Transfer and Fluid Flow in Biological Processes 1 42 .
Krzysztof Grysa, Artur Maciag & Justyna Adamczyk-Krasa. (2014) Trefftz Functions Applied to Direct and Inverse Non-Fourier Heat Conduction Problems. Journal of Heat Transfer 136:9.
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Koushik Das & Subhash C. Mishra. (2013) Estimation of tumor characteristics in a breast tissue with known skin surface temperature. Journal of Thermal Biology 38:6, pages 311-317.
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Xiao-Zhou Liu, Yi Zhu, Fei Zhang & Xiu-Fen Gong. (2013) Estimation of temperature elevation generated by ultrasonic irradiation in biological tissues using the thermal wave method. Chinese Physics B 22:2, pages 024301.
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Koushik Das, Rupesh Singh & Subhash C. Mishra. (2013) Numerical analysis for determination of the presence of a tumor and estimation of its size and location in a tissue. Journal of Thermal Biology 38:1, pages 32-40.
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Tzu-Ching Shih, Tzyy-Leng Horng, Huang-Wen Huang, Kuen-Cheng Ju, Tzung-Chi Huang, Po-Yuan Chen, Yung-Jen Ho & Win-Li Lin. (2012) Numerical analysis of coupled effects of pulsatile blood flow and thermal relaxation time during thermal therapy. International Journal of Heat and Mass Transfer 55:13-14, pages 3763-3773.
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Ping Yuan, Shin-Bin Wang & Hsien-Ming Lee. (2012) Estimation of the equivalent perfusion rate of Pennes model in an experimental bionic tissue without blood flow. International Communications in Heat and Mass Transfer 39:2, pages 236-241.
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Tung T. Lam & Ed Fong. (2011) Application of solution structure theorem to non-Fourier heat conduction problems: Analytical approach. International Journal of Heat and Mass Transfer 54:23-24, pages 4796-4806.
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Guang Ying Xu. (2011) The Transient Temperature and Thermal Stresses on Metal Material Irradiated by Multi-Pulse Short Power. Applied Mechanics and Materials 130-134, pages 873-878.
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Nazia Afrin, Yuwen Zhang & J.K. Chen. (2011) Thermal lagging in living biological tissue based on nonequilibrium heat transfer between tissue, arterial and venous bloods. International Journal of Heat and Mass Transfer 54:11-12, pages 2419-2426.
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Mohsen Torabi & Seyfolah Saedodin. (2011) Analytical and Numerical Solutions of Hyperbolic Heat Conduction in Cylindrical Coordinates. Journal of Thermophysics and Heat Transfer 25:2, pages 239-253.
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Haiming Huang, Fang Su & Yue Sun. (2010) Thermal shock of semi-infinite body with multi-pulsed intense laser radiation. Acta Mechanica Solida Sinica 23:2, pages 175-180.
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Wensheng Shen, Leigh Little & Liangjian Hu. (2010) Anti-diffusive methods for hyperbolic heat transfer. Computer Methods in Applied Mechanics and Engineering 199:17-20, pages 1231-1239.
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Jianhua Zhou, J.K. Chen & Yuwen Zhang. (2010) Simulation of Laser-Induced Thermotherapy Using a Dual-Reciprocity Boundary Element Model With Dynamic Tissue Properties. IEEE Transactions on Biomedical Engineering 57:2, pages 238-245.
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Yuwen Zhang. (2009) Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues. International Journal of Heat and Mass Transfer 52:21-22, pages 4829-4834.
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Jianhua Zhou, J.K. Chen & Yuwen Zhang. (2009) Dual-phase lag effects on thermal damage to biological tissues caused by laser irradiation. Computers in Biology and Medicine 39:3, pages 286-293.
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