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Articles

A golden section search method for the identification of skin subsurface abnormalities

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Pages 183-202 | Received 14 Dec 2016, Accepted 21 Mar 2017, Published online: 09 Apr 2017

References

  • Song CW , Lokshina A , Rhee JG , et al . Implication of blood flow in hyperthermic treatment of tumors. IEEE Trans Biomed Eng. 1984;31:9–16.
  • Mital M , Pidaparti RM . Breast tumor simulation and parameters estimation using evolutionary algorithms. Model Simul Eng. 2008;2008:1–16.
  • Liu J , Xu LX . Boundary information based diagnostics on the thermal states of biological bodies. Int J Heat Mass Transf. 2000;43:2827–2839.10.1016/S0017-9310(99)00367-1
  • Stec B , Dobrowolski A . Estimation of internal distribution of temperature inside biological tissues by means of multifrequency microwave thermograph. J Telecommun Inf Technol. 2002;1:39–42.
  • Gardner B , Stone N , Matousek P . Non-invasive chemically specific measurement of subsurface temperature in biological tissues using surface-enhanced spatially offset Raman spectroscopy. Faraday Discuss. 2016;187:329–339.10.1039/C5FD00154D
  • Hardy JD . The radiation of heat from the human body: I. An instrument for measuring the radiation and surface temperature of the skin. J Clin Invest. 1934;13:593–604.10.1172/JCI100607
  • Deng Z-S , Liu J . Mathematical modeling of temperature mapping over skin surface and its implementation in thermal disease diagnostics. Comput Biol Med. 2004;34:495–521.10.1016/S0010-4825(03)00086-6
  • James CA , Richardson AJ , Watt PW , et al . Reliability and validity of skin temperature measurement by telemetry thermistors and a thermal camera during exercise in the heat. J Therm Biol. 2014;45:141–149.10.1016/j.jtherbio.2014.08.010
  • Pennes HH . Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol. 1948;1:93–122.
  • Lemons DE , Chien S , Crawshaw Li , et al . Significance of vessel size and type in vascular heat transfer. Am J Physiol Integr Comp Physiol. 1987;253:R128–R135.
  • Bhowmik A , Repaka R . Estimation of growth features and thermophysical properties of melanoma within 3-D human skin using genetic algorithm and simulated annealing. Int J Heat Mass Transf. 2016;98:81–95.10.1016/j.ijheatmasstransfer.2016.03.020
  • Askarizadeh H , Ahmadikia H . Analytical study on the transient heating of a two-dimensional skin tissue using parabolic and hyperbolic bioheat transfer equations. Appl Math Model. 2015;39:3704–3720.10.1016/j.apm.2014.12.003
  • Kumar P , Kumar D , Rai KN . A numerical study on dual-phase-lag model of bio-heat transfer during hyperthermia treatment. J Therm Biol. 2015;49–50:98–105.10.1016/j.jtherbio.2015.02.008
  • Peshkov V. The second sound in Helium II. J Phys. 1944;8:381–382.
  • Cattaneo C . A form of heat conduction equation which eliminates the paradox of instantaneous propagation. Compte Rendus. 1958;247:431–433.
  • Vernotte P. Les paradoxes de la théorie continue de léquation de la chaleur. Comptes Rendus Hebd. Des Seances L Acad. Des Sci. Gauthier-Villars/Editions Elsevier 23 Rue Linois, 75015 Paris, France. 1958;246:3154–3155.
  • Zhou J , Zhang Y , Chen JK . Non-fourier heat conduction effect on laser-induced thermal damage in biological tissues. Numer Heat Transf Part A Appl. 2008;54:1–19.10.1080/10407780802025911
  • Jaunich M , Raje S , Kim K , et al . Bio-heat transfer analysis during short pulse laser irradiation of tissues. Int J Heat Mass Transf. 2008;51:5511–5521.10.1016/j.ijheatmasstransfer.2008.04.033
  • Xu F , Lin M , Lu TJ . Modeling skin thermal pain sensation: role of non-Fourier thermal behavior in transduction process of nociceptor. Comput Biol Med. 2010;40:478–486.10.1016/j.compbiomed.2010.03.002
  • Liu K-C , Cheng P-J , Wang Y-N . Analysis of non-Fourier thermal behaviour for multi-layer skin model. Therm. Sci. 2011;15:61–67.
  • 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;39:121–130.10.1016/j.icheatmasstransfer.2011.09.016
  • Fazlali R , Ahmadikia H . Analytical solution of thermal wave models on skin tissue under arbitrary periodic boundary conditions. Int J Thermophys. 2013;34:139–159.10.1007/s10765-013-1396-0
  • Lin S-M . Analytical solutions of bio-heat conduction on skin in Fourier and non-fourier models. J Mech Med Biol. 2013;13:1350063.10.1142/S0219519413500632
  • Kumar D , Kumar P , Rai KN . Numerical study on non-fourier bio heat transfer during thermal ablation. Procedia Eng. 2015;127:1300–1307.10.1016/j.proeng.2015.11.487
  • Forghani P , Ahmadikia H , Karimipour A . Non-Fourier boundary conditions effects on the skin tissue temperature response. Heat Transf Res. 2017;46:29–48.
  • Lin S-M , Li C-Y . Analytical solutions of non-Fourier bio-heat conductions for skin subjected to pulsed laser heating. Int J Therm Sci. 2016;110:146–158.10.1016/j.ijthermalsci.2016.06.034
  • Delprat-Jannaud F , Lailly P . Ill-posed and well-posed formulations of the reflection travel time tomography problem. J Geophys Res Solid Earth. 1993;98:6589–6605.10.1029/92JB02441
  • Carasso AS . Stable explicit time marching in well-posed or ill-posed nonlinear parabolic equations. Inverse Probl Sci Eng. 2016;24:1364–1384.10.1080/17415977.2015.1110150
  • Panda S , Singla RK , Das R , et al . Identification of design parameters in a solar collector using inverse heat transfer analysis. Energy Convers Manag. 2014;88:27–39.
  • Das R . Identification of materials in a hyperbolic annular fin for a given temperature requirement. Inverse Probl Sci Eng. 2016;24:213–233.10.1080/17415977.2015.1017486
  • Majchrzak E , Mochnacki B . Sensitivity analysis and inverse problems in bio-heat transfer modelling. Comput Assist Mech Eng Sci. 2006;13:85–108.
  • Partridge PW , Wrobel LC . An inverse geometry problem for the localisation of skin tumours by thermal analysis. Eng Anal Boundary Elem. 2007;31:803–811.10.1016/j.enganabound.2007.02.002
  • Yue K , Zhang X , Yu F . Simultaneous estimation of thermal properties of living tissue using noninvasive method. Int J Thermophys. 2007;28:1470–1489.10.1007/s10765-007-0165-3
  • Trucu D , Ingham DB , Lesnic D . An inverse coefficient identification problem for the bio-heat equation. Inverse Probl Sci Eng. 2009;17:65–83.10.1080/17415970802082880
  • Trucu D , Ingham DB , Lesnic D . Space-dependent perfusion coefficient identification in the transient bio-heat equation. J Eng Math. 2010;67:307–315.10.1007/s10665-009-9319-6
  • Trucu D , Ingham DB , Lesnic D . Reconstruction of the space- and time-dependent blood perfusion coefficient in bio-heat transfer. Heat Transfer Eng. 2011;32:800–810.
  • Das K , Singh R , Mishra SC . Numerical analysis for determination of the presence of a tumor and estimation of its size and location in a tissue. J Therm Biol. 2013;38:32–40.10.1016/j.jtherbio.2012.10.003
  • Hazanee A , Lesnic D . Determination of a time-dependent coefficient in the bioheat equation. Int J Mech Sci. 2014;88:259–266.10.1016/j.ijmecsci.2014.05.017
  • Das K , Mishra SC . Simultaneous estimation of size, radial and angular locations of a malignant tumor in a 3-D human breast–A numerical study. J Therm Biol. 2015;52:147–156.10.1016/j.jtherbio.2015.07.001
  • Xiao-Zhou L , Yi Z , Fei Z , et al. Estimation of temperature elevation generated by ultrasonic irradiation in biological tissues using the thermal wave method. Chinese Phys B 2013;22:024301-1–024301-6.
  • Manzari MT , Manzari MT . On numerical solution of hyperbolic heat conduction. Commun Numer Methods Eng. 1999;15:853–866.10.1002/(ISSN)1099-0887
  • Xu F , Seffen KA , Lu TJ . Non-Fourier analysis of skin biothermomechanics. Int J Heat Mass Transf. 2008;51:2237–2259.
  • Osorio I , Chang F-C , Gopalsami N . Seizure control with thermal energy? Modeling of heat diffusivity in brain tissue and computer-based design of a prototype mini-cooler. Epilepsy Behav. 2009;16:203–211.10.1016/j.yebeh.2009.08.014
  • Chung TJ . Computational fluid dynamics. Cambridge: Cambridge University Press; 2002.10.1017/CBO9780511606205
  • Bhowmik A , Singla RK , Das R , et al . Inverse modeling of a solar collector involving Fourier and non-Fourier heat conduction. Appl Math Model. 2014;38:5126–5148.10.1016/j.apm.2014.04.001
  • Singla RK , Das R . Corrigendum to “Inverse modeling of a solar collector involving Fourier and non-Fourier heat conduction”. Appl Math Model. 2016;40:8847–8848.10.1016/j.apm.2016.03.042
  • Das R , Kundu B . Prediction of heat generation in a porous fin from surface temperature. J Thermophys Heat Transfer. 2017. doi:10.2514/1.T5098.
  • Gao M , Sun FZ , Wang K , et al . Experimental research of heat transfer performance on natural draft counter flow wet cooling tower under cross-wind conditions. Int J Therm Sci. 2008;47:935–941.10.1016/j.ijthermalsci.2007.07.010
  • Konda Reddy B , Balaji C . Estimation of temperature dependent heat transfer coefficient in a vertical rectangular fin using liquid crystal thermography. Int J Heat Mass Transf. 2012;55:3686–3693.10.1016/j.ijheatmasstransfer.2012.03.015

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