A counter current vascular network model of heat transfer in tissues

Journal of Biomechanical Engineering

Volumn 118, Issue 1, 1996, Pages 120-129

  Huang, H W ^a   Chen, Z P ^a   Roemer, R B ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITY OF UTAH SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BLOOD VESSELS; MATHEMATICAL MODELS; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY; TISSUE;

FLOW RATES; FULLY CONJUGATED BLOOD VESSEL NETWORK MODELS; HYPERTHERMIA; PENNES' EQUATION; PERFUSION VALUE; VASCULAR NETWORK MODEL; VESSEL SIZE;

HEAT TRANSFER;

ARTICLE; BLOOD VESSEL; CALCULATION; HEAT TRANSFER; MODEL; TEMPERATURE MEASUREMENT; TISSUE; TISSUE PERFUSION;

ANIMALS; ARTERIES; BIOMECHANICS; BODY TEMPERATURE REGULATION; HUMANS; MODELS, CARDIOVASCULAR; VEINS;

EID: 0030087676     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.2795937     Document Type: Article

References (31)

1. Baish, J. W., 1990, “Heat Transport by Counter Current Blood Vessels in the Presence of an Arbitrary Temperature Gradient,” ASME Journal of Biomechanical Engineering, Vol. 112, pp. 207-211.
2. Baish, J. W., Ayyaswamy, P. S., and Foster, K. R., 1986a, “Small-Scale Temperature Fluctuations in Perfused Tissue During Local Hyperthermia,” ASME Journal of Biomechanical Engineering, Vol. 108, pp. 246-260.
3. Baish, J. W., Ayyaswamy, P. S., and Foster, K. R., 1986b, “Heat Transport Mechanisms in Vascular Tissues: A Model Comparison,” ASME Journal of Biomechanical Engineering, Vol. 108, pp. 324-330.
4. Baish, J. W., Foster, K. R., and Ayyaswamy, P. S., 1986c, “Perfused Phantom Models of Microwave Irradiated Tissue,” ASME Journal of Biomechanical Engineering, Vol. 108, pp. 239-245.
5. Charney, C. K., and Levin, R. C., 1988, “Heat Transfer Normal to Paired Arterioles and Venules Embedded in Perfused Tissue During Hyperthermia,” ASME Journal of Biomechanical Engineering, Vol. 110, pp. 277-282.
6. Chato, J. C., 1980, “Heat Transfer to Blood Vessels,” ASME Journal of Biomechanical Engineering, Vol. 102, pp. 110-118.
7. Chen, M. M., and Holmes, K. R., 1980, “Microvascular Contributions in Tissue Heat Transfer,” Annals of the New York Academy of Science, Vol. 335, pp. 137-150.
8. Chen, Z. P., 1989, “A Three Dimensional Treatment Planning Program for Hyperthermia,” Ph.D. dissertation, University of Arizona, Tucson, AZ.
9. Chen, Z. P., and Roemer, R. B., 1992, “The Effects of Large Blood Vessels on Temperature Distributions During Simulated Hyperthermia,” ASME Journal of Biomechanical Engineering, Vol. 114, pp. 473-481.
10. Chen, Z. P., and Roemer, R. B., 1993, “Improved Cartesian Coordinate Finite Difference Simulations of Small Cylindrical Objects,” ASME Journal of Biomechanical Engineering, Vol. 115, pp. 119-122.
11. Crezee, J., and Lagendijk, J. J. W., 1990, “Experimental Verification of BioHeat Transfer Theories: Measurement of Temperature Profiles Around Large Artificial Vessels in Perfused Tissues,” Phys. Of Med. Bio., Vol. 35, pp. 905-923.
12. Green, H. D., 1944, “Circulation, Physical Principles,” Medical Physics, O. Glasser ed., The Year Book Publishers, Inc., Chicago, IL, 208-252.
13. Huang, H. W., 1992, “Simulation of Large Vessels in Hyperthermia Therapy,” M.S. thesis, University of Arizona, Tucson, AZ.
14. Huang, H., Chan, C., and Roemer, R. B., 1994, “Analytical Solutions of Pennes Bio-Heat Transfer Equation With a Blood Vessel,” ASME Journal of Biomechanical Engineering, Vol. 116, pp. 208-212.
15. Jiji, L. M., Weinbaum, S., and Lemons, D. E., 1984, “Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer-Part II: Model Formulation and Solution,” ASME Journal of Biomechanical Engineering, Vol. 106, pp. 331-341.
16. Lagendijk, J., and Mooibroek, J., 1986, “Hyperthermia Treatment Planning,” Recent Results in Cancer Research, Locoregional High-Frequency Hyperthermia and Temperature Measurement, G. Bruggmoser, W. Hinkelbein, R. Enggelhardt, and M. Wannenmacher eds., Springer-Verlag, Berlin, Vol. 101, pp. 119-131.
17. Lapidus, L., and Pinder, G. F., 1982, Numerical Solution of Partial Differential Equations in Science and Engineering, Wiley-Interscience Publication, New York.
18. Moros, E., Dutton, A., Roemer, R. B., Burton, M., and Hynynen, K., 1993, “Experimental Evaluation of Two Thermal Models Using Hyperthermia in Muscle In Vivo,” Int. J. Hyperthermia, Vol. 9, pp. 581-598.
19. Moros, E. G., 1990, “Experimental Evaluation of Scanned Focussed Ultrasound Hyperthermia Models in Canine Muscle In Vivo,” Ph.D. dissertation, University of Arizona, Tucson, AZ.
20. Myrhage, R., 1977, “Microvascular Supply of Skeletal Muscle Fibres. A Microangiographic, Histochemical and Intravital Microscopic Study of the Hind Limb Muscles in Rat, Rabbit and Cat,” Acto Orthopaedica Scandinavica, Supplement 168.
21. Myrhage, R., and Eriksson, E., 1980, “Vascular Arrangements in the Hind Limb Muscles of the Cat,” Journal of Anatomy, Vol. 131, pp. 1-17.
22. Pennes, H. H., 1948, “Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm,” Journal of Applied Physiology, Vol. 1, pp. 93122.
23. Rawnsley, R., Roemer, R. B., and Dutton, A., 1994, “The Simulation of Large Vessel Effects in Experimental Hyperthermia,” ASME Journal of Biomechanical Engineering, Vol. 116, pp. 256-262.
24. Roemer, R. B., 1990, “Thermal Dosimetry,” Thermal Dosimetry and Treatment Planning, M. Gautherie, ed., Springer-Verlag, Berlin.
25. Roemer, R. B., and Dutton, A. W., Derivation of a Simple Convective Energy Balance Equation for Tissue. (In preparation 1994).
26. Roemer, R. B., Moros, E. M., and Hynynen, K., 1989, “A Comparison of BioHeat Transfer and Effective Conductivity Equation Predictions to Experimental Hyperthermia Data,” Bioheat Transfer Applications in Hyperthermia, Emerging Horizons in Instrumentation and Modeling, R. Roemer, J. McGrath, H. F. Bowman, eds., ASME, New York, NY, pp. 11-15.
27. Sekins, K. M., and Emery, A., 1982, “Thermal Science for Physical Medicine,” Therapeutic Heat and Cold, J. Lehmann, ed., Williams and Wilkens, Baltimore, pp. 70-132.
28. Sekins, K. M., Lehmann, J. F., Esselmann, P., Dundore, D., Emery, A. F., deLateur, B. J., and Nelp, W. B., 1984, “Local Muscle Blood Flow and Temperature Responses to 915 MHz Diathermy as Simultaneously Measured and Numerically Predicted,” Arch. Phys. Med. Rehabil. Vol. 65, pp. 1-7.
29. 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 Journal of Biomechanical Engineering, Vol. 106, pp. 321-330.
30. Whitmore, R. L., 1968, Rheology of the Circulation, Pergamon Press, New York, NY.
31. Williams, W., 1990, “A Structural Model of Heat Transfer Due to Blood Vessels in Living Tissue,” Ph.D. dissertation, University of Arizona, Tucson, AZ