Numerical study of the effects of large blood vessels on three-dimensional tissue temperature profiles during cryosurgery

Numerical Heat Transfer; Part A: Applications

Volumn 49, Issue 1, 2006, Pages 47-67

  Deng, Zhong Shan ^a   Liu, Jing ^a  

^a TECHNICAL INSTITUTE OF PHYSICS AND CHEMISTRY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COOLING; CRYOSURGERY; HYPERTHERMIA THERAPY; NUSSELT NUMBER; TEMPERATURE MEASUREMENT; TISSUE CULTURE;

ICEBALL; TRANSFER EQUATIONS;

BLOOD VESSELS;

EID: 31444440711     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407780500301770     Document Type: Article

References (49)

1. B. Rubinsky, Cryosurgery, Annu. Rev. Biomed. Eng., vol. 2, pp. 157-187, 2000.
2. D. W. Siemann, Vascular Targeting Agents, Horizons Cancer Therap., vol. 3, no. 2, pp. 4-15, 2002.
3. K. M. Horton and E. K. Fishman, Multidetector CT Angiography of Pancreatic Carcinoma: Part I, Evaluation of Arterial Involvement, Am. J. Roentgenol., vol. 178, pp. 827-831, 2002.
4. Y. T. Zhang, J. Liu, and Y. X. Zhou, Pilot Study on Cryogenic Heat Transfer in Biological Tissues Embedded with Large Blood Vessels, Forsch. Ing. (Eng. Res.), vol. 67, pp. 188-197, 2002.
5. A. P. Ladd, F. J. Rescorla, J. G. Baust, M. Callahan, M. Davis, and J. L. Grosfeld, Cryosurgical Effects on Growing Vessels, Am. Surgeon, vol. 65, pp. 677-682, 1999.
6. A. A. Gage, G. Fazekas, and E. E. Riley, Freezing Injury to Large Blood Vessels in Dogs, Surgery, vol. 61, pp. 748-754, 1967.
7. N. E. Hoffmann and J. C. Bischof, Cryosurgery of Normal and Tumor Tissue in the Dorsal Skin Flap Chamber: Part I—Thermal Response, ASME J. Biomech. Eng., vol. 123, pp. 301-309, 2001.
8. J. C. Rewcastle and G. A. Sandison, A Model for the Time Dependent Three-Dimensional Thermal Distribution within Iceballs Surrounding Multiple Cryoprobes, Med. Phys., vol. 28, pp. 1125-1137, 2001.
9. Y. Rabin and A. Shitzer, Numerical Solution of the Multidimensional Freezing Problem during Cryosurgery, ASME J. Biomech. Eng., vol. 120, pp. 32-37, 1998.
10. Z. S. Deng and J. Liu, Modeling of Multidimensional Freezing Problem during Cryosurgery by the Dual Reciprocity Boundary Element Method, Eng. Anal. Bound. Elem., vol. 28, pp. 97-108, 2004.
11. Y. T. Zhang and J. Liu, Numerical Study on Three-Region Thawing Problem during Cryosurgical Re-warming, Med. Eng. Phys., vol. 24, pp. 265-277, 2002.
12. R. J. Schweikert and R. G. Keanini, Finite Element and Order of Magnitude Analysis of Cryosurgery in the Lung, Int. Commun. Heat Mass Transfer, vol. 26, pp. 1-12, 1999.
13. H. M. Budman, A. Shitzer, and S. Del Giudice, Investigation of Temperature Fields around Embedded Cryoprobes, ASME J. Biomech. Eng., vol. 108, pp. 42-48, 1986.
14. J. C. Bischof, J. Bastacky, and B. Rubinsky, An Analytical Study of Cryosurgery in the Lung, ASME J. Biomech. Eng., vol. 112, pp. 467-472, 1992.
15. H. W. Huang, C. L. Chan, and R. B. Roemer, Analytical Solutions of Pennes Bio-Heat Transfer Equation with a Blood-Vessel, ASME J. Biomech. Eng., vol. 116, pp. 208-212, 1994.
16. R. J. Rawnsley, R. B. Roemer, and A. W. Dutton, The Simulation of Discrete Vessel Effects in Experimental Hyperthermia, ASME J. Biomech. Eng., vol. 116, pp. 256-262, 1994.
17. J. J. W. Lagendijk, M. Schellekens, J. Schipper, and P. M. Vanderlinden, A Three-Dimensional Description of Heating Patterns in Vascularized Tissues during Hyperthermia Treatment, Phys. Med. Biol., vol. 29, pp. 495-507, 1984.
18. J. Baish, P. S. Ayyaswamy, and K. R. Foster, Heat Transport Mechanisms in Vascular Tissues: A Model Comparison, ASME J. Biomech. Eng., vol. 108, pp. 324-331, 1986.
19. C. K. Charny and R. L. Levin, Bioheat Transfer in a Branching Countercurrent Network during Hyperthermia, ASME J. Biomech. Eng., vol. 111, pp. 263-270, 1989.
20. Z. P. Chen and R. B. Roemer, The Effects of Large Blood Vessels on Temperature Distributions during Simulated Hyperthermia, ASME J. Biomech. Eng., vol. 114, pp. 473-481, 1992.
21. J. Crezee and J. J. W. Lagendijk, Temperature Uniformity during Hyperthermia—The Impact of Large Vessels, Phys. Med. Biol., vol. 37, pp. 1321-1337, 1992.
22. M. C. Kolios, M. D. Sherar, and J. W. Hunt, Large Blood-Vessel Cooling in Heated Tissues: A Numerical Study, Phys. Med. Biol., vol. 40, pp. 477-494, 1995.
23. O. I. Craciunescu, T. V. Samulski, J. R. MacFall, and S. T. Clegg, Perturbations in Hyperthermia Temperature Distributions Associated with Counter-current Flow: Numerical Simulations and Empirical Verification, IEEE Trans. Biomed. Eng., vol. 47, pp. 435-443, 2000.
24. T. C. Shih, H. S. Kou, and W. L. Lin, The Impact of Thermally Significant Blood Vessels in Perfused Tumor Tissue on Thermal Dose Distributions during Thermal Therapies, Int. Commun. Heat Mass Transfer, vol. 30, pp. 975-985, 2003.
25. H. S. Kou, T. C. Shih, and W. L. Lin, Effect of the Directional Blood Flow on Thermal Dose Distribution during Thermal Therapy: An Application of a Green’s Function Based on the Porous Model, Phys. Med. Biol., vol. 48, pp. 1577-1589, 2003.
26. J. J. W. Lagendijk, Hyperthermia Treatment Planning, Phys. Med. Biol., vol. 45, pp. R61-R76, 2000.
27. B. W. Raaymakers, J. Crezee, and J. J. W. Lagendijk, Comparison of Temperature Distributions in Interstitial Hyperthermia: Experiments in Bovine Tongues versus Generic Simulations, Phys. Med. Biol., vol. 43, pp. 1199-1214, 1998.
28. C. H. Blanchard, G. Gutierrez, J. A. White, and R. B. Roemer, Hybrid Finite ElementFinite Difference Method for Thermal Analysis of Blood Vessels, Int. J. Hyperthermia, vol. 16, pp. 341-353, 2000.
29. J. A. White, A. W. Dutton, J. A. Schmidt, and R. B. Roemer, An Accurate, Convective Energy Equation Based Automated Meshing Technique for Analysis of Blood Vessels and Tissues, Int. J. Hyperthermia, vol. 16, pp. 145-158, 2000.
30. J. C. Chato, Heat Transfer to Blood Vessels, ASME J. Biomech. Eng., vol. 102, pp. 110-118, 1980.
31. S. Weinbaum and L. M. Jiji, A New Simplified Bioheat Equation for the Effect of Blood Flow on Local Average Tissue Temperature, ASME J. Biomech. Eng., vol. 107, pp. 131-139, 1985.
32. L. Zhu, L. X. Xu, Q. H. He, and S. Weinbaum, A New Fundamental Bioheat Equation for Muscle Tissue—Part II: Temperature of SAV Vessels, ASME J. Biomech. Eng., vol. 124, pp. 121-132, 2002.
33. Q. H. He, L. Zhu, and S. Weinbaum, Effect of Blood Flow on Thermal Equilibration and Venous Rewarming, Ann. Biomed. Eng., vol. 31, pp. 659-666, 2003.
34. H. W. Huang, Z. P. Chen, and R. B. Roemer, A Counter Current Vascular Network Model of Heat Transfer in Tissues, ASME J. Biomech. Eng., vol. 118, pp. 120-129, 1996.
35. J. E. I. Hokkanen, Thermal Role of a Blood Vessel Running through a Temperature Gradient, Ann. N. Y. Acad. Sci., vol. 813, pp. 56-62, 1997.
36. R. B. Roemer, Conditions for Equivalency of Countercurrent Vessel Heat Transfer Formulations, ASME J. Biomech. Eng., vol. 121, pp. 514-520, 1999.
37. O. I. Craciunescu and S. T. Clegg, Pulsatile Blood Flow Effects on Temperature Distribution and Heat Transfer in Rigid Vessels, ASME J. Biomech. Eng., vol. 123, pp. 500-505, 2001.
38. R. B. Roemer and A.W. Dutton, A Generic Tissue Convective Energy Balance Equation: Part I—Theory and Derivation, ASME J. Biomech. Eng., vol. 120, pp. 395-404, 1998.
39. G. M. J. Van Leeuwen, A. N. T. J. Kotte, and J. J. W. Lagendijk, A Flexible Algorithm for Construction of 3-D Vessel Networks for Use in Thermal Modeling, IEEE Trans. Biomed. Eng., vol. 45, pp. 596-604, 1998.
40. A. N. T. J. Kotte, G. M. J. Van Leeuwen, and J. J. W. Lagendijk, Modelling the Thermal Impact of a Discrete Vessel Tree, Phys. Med. Biol., vol. 44, pp. 57-74, 1999.
41. O. I. Craciunescu, B. W. Raaymakers, A. N. T. J. Kotte, S. K. Das, T. V. Samulski, and J. J. W. Lagendijk, Discretizing Large Traceable Vessels and Using DE-MRI Perfusion Maps Yields Numerical Temperature Contours That Match the MR Noninvasive Measurements, Med. Phys., vol. 28, pp. 2289-2296, 2001.
42. B. W. Raaymakers, A. N. T. J. Kotte, and J. J. W. Lagendijk, How to Apply a Discrete Vessel Model in Thermal Simulations When Only Incomplete Vessel Data Are Available, Phys. Med. Biol., vol. 45, pp. 3385-3401, 2000.
43. B. W. Raaymakers, J. Crezee, and J. J. W. Lagendijk, Modelling Individual Temperature Profiles from an Isolated Perfused Bovine Tongue, Phys. Med. Biol., vol. 45, pp. 765-780, 2000.
44. G. M. J. Van Leeuwen, A. N. T. J. Kotte, J. DeBree, J. F. VanderKoijk, J. Crezee, and J. J. W. Lagendijk, Accuracy of Geometrical Modelling of Heat Transfer from Tissue to Blood Vessels, Phys. Med. Biol., vol. 42, pp. 1451-1460, 1997.
45. G. M. J. Van Leeuwen, A. N. T. J. Kotte, B. W. Raaymakers, and J. J. W. Lagendijk, Temperature Simulations in Tissue with a Realistic Computer Generated Vessel Network, Phys. Med. Biol., vol. 45, pp. 1035-1049, 2000.
46. Z. S. Deng and J. Liu, Numerical Simulation on 3-D Freezing and Heating Problems for the Combined Cryosurgery and Hyperthermia Therapy, Numer. Heat Transfer A, vol. 46, pp. 587-611, 2004.
47. J. C. Chato, Selected Thermophysical Properties of Biological Materials, in A. Shitzer and E. C. Eberhart (eds.), Heat Transfer in Medicine and Biology, pp. 413-418, Plenum Press, New York, 1985.
48. J. Liu, L. Zhu, and L. X. Xu, Studies on the Three-Dimensional Temperature Transients in the Canine Prostate during Transurethral Microwave Thermal Therapy, ASME J. Bio-mech. Eng., vol. 122, pp. 372-379, 2000.
49. Z. S. Deng and J. Liu, Monte Carlo Method to Solve Multidimensional Bioheat Transfer Problem, Numer. Heat Transfer B, vol. 42, pp. 543-567, 2002.