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TECHNICAL PAPERS

Analytical Study on Bioheat Transfer Problems with Spatial or Transient Heating on Skin Surface or Inside Biological Bodies

[+] Author and Article Information
Zhong-Shan Deng, Jing Liu

Cryogenics Laboratory, P.O. Box 2711, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100080, P.R. China

J Biomech Eng 124(6), 638-649 (Dec 27, 2002) (12 pages) doi:10.1115/1.1516810 History: Received January 01, 2001; Revised July 01, 2002; Online December 27, 2002
Copyright © 2002 by ASME
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References

Diller,  K. R., 1992, “Modeling of Bioheat Transfer Processes at High and Low Temperatures,” Adv. Heat Transfer, 22, pp. 157–357.
Field,  S. B., and Bleehen,  N. M., 1979, “Hyperthermia in the Treatment of Cancer,” Cancer Treat Rev., 6, pp. 63–69.
Chen,  Z. P., and Roemer,  R. B., 1992, “The Effect of Large Blood Vessels on Temperature Distributions During Simulated Hyperthermia,” ASME J. Biomech. Eng., 114, pp. 473–481.
Clegg,  S. T., and Roemer,  R. B., 1993, “Reconstruction of Experimental Hyperthermia Temperature Distributions: Application of State and Parameter Estimation,” ASME J. Biomech. Eng., 115, pp. 380–388.
Liu,  J., Zhu,  L., and Xu,  L. X., 2000, “Studies on the Three-Dimensional Temperature Transients in the Canine Prostate During Transurethral Microwave Thermal Therapy,” ASME J. Biomech. Eng., 122, pp. 372–379.
Magin,  R., and Peterson,  A., 1989, “Noninvasive Microwave Phased Arrays for Local Hyperthermia: A Review,” Int. J. Hyperthermia, 5, pp. 467–484.
Seip,  R., and Ebbini,  E. S., 1995, “Noninvasive Estimation of Tissue Temperature Response to Heating Fields Using Diagnostic Ultrasound,” IEEE Trans. BioMed. Eng., 42, pp. 828–839.
Fibich, G., 1995, “Time Dispersive Effects in Ultrashort Laser-Tissue Interactions,” ASME Heat Transfer Division, HTD 322 , pp. 27–31.
Whelan, W. M., and Wyman, D. R., 1995, “Temperature Reconstruction by Estimating the Thermophysical and Optical Properties of Tissue During Interstitial Laser Heating,” ASME Heat Transfer Division, HTD 322 , pp. 17–26.
Rastegar, S., Chard, A. M., and Azeemi, A., 1993, “Analysis of the Kinetics of Single-Rate and Multi-Rate Thermal Damage in Laser Irradiation of Biological Tissue,” ASME Heat Transfer Division, HTD 268 , pp. 137–140.
Yilbas,  Z., Sami,  M., and Patiroglu,  T., 1998, “Study into Penetration Speed During Laser Cutting of Brain Tissues,” J. Med. Eng. Technol., 22, pp. 274–279.
Valderrama,  G. L., Fredin,  L. G., Berry,  M. J., Dempsey,  B. P., and Harpole,  G. M., 1991, “Temperature Distributions in Laser-Irradiated Tissues,” Proc. SPIE, 1427, pp. 200–213.
Pustovalov,  V. K., 1993, “Thermal Processes under the Action of Laser Radiation Pulse on Absorbing Granules in Heterogeneous Biotissues,” Int. J. Heat Mass Transf., 36, pp. 391–399.
Liu,  J., and Xu,  L. X., 2000, “Boundary Information Based Diagnostics on the Thermal States of Biological Bodies,” Int. J. Heat Mass Transf., 43, pp. 2827–2839.
Markee,  N. L., Hatch,  K. L., Maibach,  H. I., Barker,  R. L., Radhakrishnaiah,  P., and Woo,  S. S., 1990, “In Vivo Cutaneous and Perceived Comfort Response to Fabric. Part IV. Perceived Sensations to Three Experimental Garments Worn by Subjects Exercising in a Hot, Humid Environment,” Textile Research Journal, 60, pp. 561–568.
Burch, S. D., Ramadhyani, S., and Pearson, J. T., 1991, “Analysis of Passenger Thermal Comfort in an Automobile under Severe Winter Conditions,” ASHRAE Trans., pt. 1, ASHRAE Winter Meeting, Atlanta, pp. 247–257.
Arens,  E., and Bosselmann,  P., 1989, “Wind, Sun and Temperature. Predicting the Thermal Comfort of People in Outdoor Spaces,” Building and Environ., 24, pp. 315–320.
Chato,  J. C., 1980, “Measurement of Thermal Properties of Growing Tumors,” Ann. N.Y. Acad. Sci., 335, pp. 67–85.
Balasubramaniam,  T. A., and Bowman,  H. F., 1974, “Temperature Field due to a Time Dependent Heat Source of Spherical Geometry in an Infinite Medium,” ASME J. Biomech. Eng., 93, pp. 296–299.
Chen,  M. M., Holmes,  K. R., and Rupinskas,  V., 1981, “Pulse-Decay Method for Measuring the Thermal Conductivity of Living Tissues,” ASME J. Biomech. Eng., 103, pp. 253–260.
Bowman, H. F., 1985, “Estimation of Tissue Blood Flow,” Heat Transfer in Medicine and Biology, A. Shitzer, and R. C. Eberhart, eds., Plenum, New York, 1 , pp. 193–230.
Valvano,  J. W., Allen,  J. T., and Bowman,  H. F., 1984, “The Simultaneous Measurement of Thermal Conductivity, Thermal Diffusivity, and Perfusion in Small Volumes of Tissue,” ASME J. Biomech. Eng., 106, pp. 192–197.
Patel,  P. A., Valvano,  J. W., Pearce,  J. A., Prahl,  S. A., and Denham,  C. R., 1987, “A Self-Heated Thermistor Technique to Measure Effective Thermal Properties from the Tissue Surface,” ASME J. Biomech. Eng., 109, pp. 300–315.
Valvano, J. W., and Badeau, A. F., 1987, “In Vivo Measurement of Intrinsic and Effective Thermal Conductivity Using Sinusoidally Heated Thermistors,” in Proc. 6th Southern Biomedical Engineering Conf., pp. 1–4.
Valvano, J. W., Badeau, A. F., and Pearce, J. A., 1987, “Simultaneous Measurement of Intrinsic and Effective Thermal Conductivity,” in Proc. ASME Winter Annual Meeting, Thermodynamics, Heat and Mass Transfer in Biotechnology, Boston, MA, pp. 1–5.
Anderson,  G. T., Valvano,  J. W., and Santos,  R. R., 1992, “Self-heated Thermistor Measurements of Perfusion,” IEEE Trans. Biomed. Eng., 39, pp. 877–885.
Patera, A. T., Mikic, B. B., Eden, G., and Bowman, H. F., 1979, “Prediction of Tissue Perfusion from Measurement of the Phase Shift Between Heat Flux and Temperature,” Winter Annual Meeting of ASME, Advances in Bioengineering, pp. 187–191.
Anderson, G. T., and Burnside, G., 1990, “A Noninvasive Technique to Measure Perfusion Using a Focused Ultrasound Heating Sources and a Tissue Surface Temperature Measurement,” in Proc. Advance in Measuring and Computing Temperatures in Biomedicine, 147 , pp. 31–35.
Liu,  J., and Xu,  L. X., 1999, “Estimation of Blood Perfusion Using Phase Shift in Temperature Response to Sinusoidal Heating at the Skin Surface,” IEEE Trans. Biomed. Eng., 46, pp. 1037–1043.
Torvi,  D. A., and Dale,  J. D., 1994, “A Finite Element Model of Skin Subjected to a Flash Fire,” ASME J. Biomech. Eng., 116, pp. 250–255.
Vyas,  R., and Rustgi,  M. L., 1992, “Green’s Function Solution to the Tissue Bioheat Equation,” Med. Phys., 19, pp. 1319–1324.
Gao,  B., Langer,  S., and Corry,  P. M., 1995, “Application of the Time-Dependent Green’s Function and Fourier Transforms to the Solution of the Bioheat Equation,” Int. J. Hyperthermia, 11, pp. 267–285.
Newman,  W. H., Lele,  P. P., and Bowman,  H. F., 1990, “Limitations and Significance of Thermal Washout Data Obtained During Microwave and Ultrasound Hyperthermia,” Int. J. Hyperthermia, 6, pp. 771–784.
Zhu,  L., and Weinbaum,  S., 1995, “Model for Heat Transfer from Embedded Blood Vessels in Two-Dimensional Tissue Preparations,” ASME J. Biomech. Eng., 117, pp. 64–73.
Zhu,  L., Xu,  L. X., and Chencinski,  N., 1998, “Quantification of the 3-D Electromagnetic Power Absorption Rate in Tissue During Transurethral Prostatic Microwave Thermotherapy Using Heat Transfer Model,” IEEE Trans. Biomed. Eng., 45, pp. 1163–1172.
Durkee,  J. W., Antich,  P. P., and Lee,  C. E., 1990, “Exact-Solutions to the Multiregion Time-Dependent Bioheat Equation. 1. Solution Development,” Phys. Med. Biol., 35, pp. 847–867.
Durkee,  J. W., Antich,  P. P., and Lee,  C. E., 1990, “Exact-Solutions to the Multiregion Time-Dependent Bioheat Equation. 2. Numerical Evaluation of the Solutions,” Phys. Med. Biol., 35, pp. 869–889.
Durkee,  J. W., and Antich,  P. P., 1991, “Exact-Solution to the Multiregion Time-Dependent Bioheat Equation with Transient Heat-Sources and Boundary-Conditions,” Phys. Med. Biol., 36, pp. 345–368.
Durkee,  J. W., and Antich,  P. P., 1991, “Characterization of Bioheat Transport Using Exact Solution to the Cylindrical Geometry, Multiregion, Time-Dependent Bioheat Equation,” Phys. Med. Biol., 36, pp. 1377–1406.
Lagendijk,  J. J. W., 2000, “Hyperthermia Treatment Planning,” Phys. Med. Biol., 45, pp. R61–R76.
Crezee,  J., Mooibroek,  J., Lagendijk,  J. J. W., and Vanleeuwen,  G. M. J., 1994, “The Theoretical and Experimental Evaluation of the Heat-Balance in Perfused Tissue,” Phys. Med. Biol., 39, pp. 813–832.
Pennes,  H. H., 1948, “Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm,” J. Appl. Physiol., 1, pp. 93–122.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, Clarendon Press, London.
Ozisik, M. N., 1993, Heat Conduction, John Wiley & Sons, Inc., New York, pp. 506–507.
Holmes, K. R., 1997, Biological Structures and Heat Transfer, Allerton Workshop on the Future of Biothermal Engineering.
Weinbaum,  S., Jiji,  L. M., and Lemons,  D. E., 1984, “Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer-Part I: Anatomical Foundation and Model Conceptualization,” ASME J. Biomech. Eng., 106, pp. 321–330.
Li, J. H., and Liang, H., eds., 1989, Laser Medicine—Applications of Laser in Biology and Medicine (in Chinese), Science Press, Beijing.
Refinetti, R., 1997, “Homeostasis and Circadian Rhythmicity in the Control of Body Temperature,” Tenth International Symposium on the Pharmacology of Thermoregulation, 813 , pp. 63–70.
Tharp,  H. S., and Roemer,  R. B., 1992, “Optimal Power Deposition with Finite-Sized, Planar Hyperthermia Applicator Arrays,” IEEE Trans. Biomed. Eng., 39, pp. 569–579.

Figures

Grahic Jump Location
Temperature distribution at different times (η=200 m−1,f1(t)=0); (a) P0(t)=250 W/m2; (b) P0(t)=250+200 cos(0.02t) W/m2
Grahic Jump Location
Effect of scattering coefficient on temperature response at skin surface (f1(t)=0); (a) P0(t)=250 W/m2; (b) P0(t)=250+200 cos(0.02t) W/m2
Grahic Jump Location
Effect of surface heat flux to the skin surface temperature response
Grahic Jump Location
Transient temperatures at three positions when step heating is applied (spatial heating Qr=0); (a) ωb=0.0005 ml/s/ml; (b) ωb=0.004 ml/s/ml
Grahic Jump Location
Transient temperatures at three positions when step heating is applied (subject to constant spatial heating); (a) ωb=0.0005 ml/s/ml; (b) ωb=0.004 ml/s/ml
Grahic Jump Location
Transient temperatures at three positions when step heating is adopted (subject to sinusoidal spatial heating); (a) ωb=0.0005 ml/s/ml; (b) ωb=0.004 ml/s/ml
Grahic Jump Location
Effect of heating frequency and blood perfusion on the surface temperature response
Grahic Jump Location
Skin surface temperature response under different heating conditions
Grahic Jump Location
Skin surface temperature response simultaneously under surface and spatial heating with different frequency
Grahic Jump Location
Temperature distribution at different times (f2(t)=15°C,hf=100 W/m2⋅°C); (a) P0(t)=5000 W/m2,η=200 m−1; (b) P1(t)=2500 W/m3,x0=0.021 m
Grahic Jump Location
Influence of cooling medium temperature to tissue temperature distribution
Grahic Jump Location
Influence of heating power on tissue temperature distribution
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Influence of variance in environmental temperature on tissue temperature response (hf=100 W/m2⋅°C)
Grahic Jump Location
Influence of variance in environmental temperature on tissue temperature response (hf=25 W/m2⋅°C)
Grahic Jump Location
Influence of variance in metabolic rate on tissue temperature response
Grahic Jump Location
Calculation geometry for 3-D case
Grahic Jump Location
Steady state temperature distribution at one profile (heated by one point-heating source)
Grahic Jump Location
Steady state temperature distribution at one profile (heated by two point-heating sources)
Grahic Jump Location
Steady state temperature distribution at one profile (x=0.021 m, and heated by three point-heating sources)

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