Optimal temperature distribution in a three-dimensional triple-layered skin structure embedded with artery and vein vasculature

Numerical Heat Transfer; Part A: Applications

Volumn 50, Issue 9, 2006, Pages 809-834

  Tang, Xingui ^a   Dai, Weizhong ^a   Nassar, Raja ^a   Bejan, Adrian ^b  

^a Louisiana Tech University   (United States)

^b Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD VESSELS; SKIN; TEMPERATURE DISTRIBUTION; THERMAL EFFECTS; TISSUE; TUMORS;

OPTIMAL TEMPERATURE DISTRIBUTION; SKIN STRUCTURE; VEIN VASCULATURE;

HYPERTHERMIA THERAPY;

EID: 33750917434     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407780600669175     Document Type: Article

References (42)

1. P. Moroz, S. K. Jones, and B. N. Gary, Magnetically Mediated Hyperthermia: Current Status and Future Directions, Int. J. Hypertherm., vol. 18, pp. 267-284, 2002.
2. V. Muralidharan, C. Malcontenti-Wilson, and C. Cristophi, Interstitial Laser Hyperthermia for Colorectal Liver Metastases: The Effect of Thermal Sensitization and the Use of a Cylindrical Diffuser Tip on Tumor Necrosis, J. Clin. Laser Med. Surg., vol. 20, pp. 189-196, 2002.
3. V. Usatoff and N. A. Habib, Update of Laser-Induced Thermotherapy for Liver Tumors, Hapatogastroenterology, vol. 48, pp. 330-332, 2001.
4. P. Wust, B. Hildebrandt, G. Sreenivasa, B. Rau, J. Geller-Mann, H. Riess, R. Felix, and P. M. Schlag, Hyperthermia in Combined Treatment of Cancer, Lancet Oncol., vol. 3, pp. 487-497, 2002.
5. E. J. Hall and L. Roizin-Towle, Biological Effects of Heat, Cancer Res., vol. 44, pp. 4708s-4713s, 1984.
6. C. Streffer, Biological Basis for the Use of Hyperthermia in Tumor Therapy, Strahlentherapie und Onkologie, vol. 163, pp. 416-419, 1987.
7. I. Chatterjee and R. A. Adams, Finite Element Thermal Modelling of the Human Body under Hyperthermia Treatment for Cancer, Int. J. Comput. Appl. Technol., vol. 7, pp. 151-159, 1994.
8. H. H. Pennes, Analysis of Tissue and Arterial Temperature in the Resting Human Forearm, J. Appl. Physiol., vol. 1, pp. 93-122, 1948.
9. C. T. Liauh and R. B. Roemer, A Semilinear State and Parameter Estimation Algorithm for Inverse Hyperthermia Problems, J. Biomech. Eng., vol. 115, pp. 257-261, 1993.
10. N. Tsuda and K. Kuroda, An Inverse Method to Optimize Heating Conditions in RF-Capacitive Hyperthermia, IEEE Trans. Biomed Eng., vol. 43, pp. 1029-1037, 1996.
11. A. Payne, M. Mattingly, R. B. Roemer, and E. P. Scott, A Model for a Thin Layer Phantom with Application to Hyperthermia Cancer Therapy, Bioeng. Conf., ASME, vol. 42, pp. 197-198, 1999.
12. C. H. Huang and C. Y. Huang, An Inverse Biotechnology Problem in Estimating the Optical Diffusion and Absorption Coefficients of Tissue, Int. J. Heat Mass Transfer, vol. 47, pp. 447-457, 2004.
13. S. A. Sapareto and W. C. Dewey, Thermal Dose Determination in Cancer Therapy, Int. J. Radiat. Oncol. Biol. Phys., vol. 10, pp. 787-800, 1984.
14. J. Zhou and J. Liu, Numerical Study on 3-D Light and Heat Transport in Biological Tissues Embedded with Large Blood Vessels during Laser-Induced Thermotherapy, Numer. Heat Transfer A, vol. 45, pp. 415-449, 2004.
15. S. Waldow, P. Morrison, and L. Grossweiner, Nd:YAG Laser-Induced Hyperthermia in a Mouse Tumor Model, Lasers Surg. Med., vol. 8, pp. 510-514, 1988.
16. S. T. Clegg and R. B. Roemer, Predictions of Three-Dimensional Temperature Distributions During Hyperthermia Experiments, ASME Heat Transfer Div., vol. 126, pp. 29-35, 1989.
17. R. B. Roemer, E. G. Moros, and K. Hynynen, A Comparison of Bioheat Transfer and Effective Conductivity Equation Predictions to Experimental Hyperthermia Data, ASME Heat Transfer Div., vol. 126, pp. 11-15, 1989.
18. G. T. Martin and H. F. Bowman, The Temperature Distribution in Laser Irradiated Tissue with Blood Perfusion, ASME Heat Transfer Div., vol. 126, pp. 97-102, 1989.
19. R. B. Roemer, Optimal Power Deposition in Hyperthermia I. The Treatment Goal: The Ideal Temperature Distribution: The Role of Large Blood Vessels, Int. J. Hypertherm., vol. 7, pp. 317-341, 1991.
20. M. J. Wang, J. O Naim, D. W. Rogers, and R. J. Lanzafame, The effect of Nd:YAG Laser-Induced Hyperthermia on Local Tumor Recurrence in Experimental Rat Mammary Tumors, J. Clin. Med. Surg., vol. 10, pp. 265-272, 1992.
21. H. W. Huang, C. L. Chan, and R. B. Roemer, Analytical Solutions of Pennes Bioheat Transfer Equation with a Blood Vessel, J. Biomech. Eng., vol. 116, pp. 208-212, 1994.
22. E. Majchrzak and B. Mochnacki, Numerical Model of Heat Transfer between Blood Vessel and Biological Tissue, Comput. Assist. Mech. Eng. Sci., Vol. 6, pp. 439-447, 1999.
23. W. Dai, Q. Li, R. Nassar, and T. Zhu, A Domain Decomposition Method for Solving the Pennes' Bioheat Transfer in a 3D Triple-Layered Skin Structure, Proc. Second M.I.T. Conf. on Computational Fluid and Solid Mechanics, MIT, Boston, 2003, Vol. 2, pp. 1650-1659.
24. W. Dai, H. Yu, R. Nassar, and T. Zhu, A Fourth-Order Compact Finite Difference Scheme for Solving a 1-D Pennes' Bioheat Transfer Equation in a Uniform Tissue, Proc. 2003 Int. Conf. on Mathematics and Engineering Techniques in Medicine and Biological Sciences, Las Vegas, NV, 2003, pp. 336-339.
25. W. Dai, H. Yu, and R. Nassar, A Fourth-Order Compact Finite-Difference Scheme for Solving a 1-D Pennes' Bioheat Transfer Equation in a Triple-Layered Skin Structure, Numer. Heat Transfer B, vol. 46, pp. 447-461, 2004.
26. L. Zhang, W. Dai, and R. Nassar, A Numerical Modeling for Optimizing Laser Power Irradiating on a 3D Triple Layered Cylindrical Skin Structure, Numer. Heat Transfer A, vol. 48, pp. 21-41, 2005.
27. S. G. Klemick, M. A. Jog, and P. S. Ayyaswamy, Numerical Evaluation of Heat Clearance Properties of a Radiatively Heated Biological Tissue by Adaptive Grid Scheme, Numer. Heat Transfer A, vol. 31, pp. 451-467, 1997.
28. L. Zhang, W. Dai, and R. Nassar, A Numerical Modeling for Obtaining an Optimal Temperature Distribution in a 3D Triple Layered Cylindrical Skin Structure Embedded with a Blood Vessel, Numer. Heat Transfer A, vol. 49, pp. 765-784, 2006.
29. A. Bejan, Shape and Structure, from Engineering to Nature, Cambridge University Press, Cambridge, UK, 2000.
30. A. Bejan, The Tree of Convective Heat Streams: Its Thermal Insulation Function and the Predicted 3/4-Power Relation between Body Heat Loss and Body Size, Int. J. Heat Mass Transfer, vol. 44, pp. 699-704, 2001.
31. A. K. Silva, S. Lorente, and A. Bejan, Constructal Multi-scale Tree-Shaped Heat Exchangers, J. Appl. Phys., vol 96, pp. 1709-1718, 2004.
32. A. W. Ham and W. Arthur, Histology, 5th ed., Lippincott, Philadelphia, 1965.
33. L. P. Gartner, Color Atlas of Histology, 3d ed., Lippincott Williams & Wilkins, Philadelphia, 2000.
34. H. W. Huang, Convective Thermal Model Formulation of a Three Dimensional Vascular System with Simplified Blood Flow Paths: Temperature Distributions during Hyperthermia, M.S. thesis, University of Arizona, Tucson, AZ, 1992.
35. H. Jaesung and F. J. Klavs, Combined Experimental and Modeling Studies of Laser-Assisted Chemical Vapor Deposition of Copper from Copper (I)-Hexafluoroacetylacetonate Trimethylvinylsilane, J. Appl. Phys., vol. 75, pp. 2240-2250, 1994.
36. J. Liu, X. Chen, and L. X. Xu, New Thermal Wave Aspects on Burn Evaluation of Skin Subjected to Instantaneous Heating, IEEE Trans. Biomed. Eng., vol. 46, pp. 420-428, 1999.
37. R. L. Burden and D. J. Faires, Numerical Analysis, 7th ed., Brooks/Cole, Pacific Grove, CA, 2001.
38. M. N. Ozisik, Heat Conduction, 2d ed., chap. 14, Wiley, New York, 1993.
39. J. Liu, X. Zhang, and C. Wang, Generalized Time Delay Bioheat Equation and Preliminary Analysis on Its Wave Nature, Chinese Sci. Bull., vol. 42, pp. 289-292, 1997.
40. H. W. Huang, Z. P. Chen, and R. B. Roemer, A Counter Current Vascular Network Model of Heat Transfer in Tissues, J. Biomech. Eng., vol. 118, pp. 120-129, 1996
41. A. J. Welch and M. J. C. Van Gemert, Optical-Thermal Response of Laser-Irradiated Tissue, Plenum Press, New York, 1995.
42. L. T. Lorimer, The Human Body, Reader's Digest, New York, 1999.