A thermal-ablation bioheat model including liquid-to-vapor phase change, pressure- and necrosis-dependent perfusion, and moisture-dependent properties

International Journal of Heat and Mass Transfer

Volumn 50, Issue 13-14, 2007, Pages 2537-2544

  Abraham, J P ^a   Sparrow, E M ^b  

^a UNIVERSITY OF ST THOMAS   (United States)

^b University of Minnesota   (United States)

Author keywords

Bioheat transfer; Blood perfusion variations; Endometrial ablation; Enthalpy method; Phase change; Tissue necrosis

Indexed keywords

BLOOD; DISEASE CONTROL; MATHEMATICAL MODELS; PATIENT TREATMENT; PHASE TRANSITIONS; TISSUE;

BIOHEAT TRANSFER; BLOOD PERFUSION VARIATIONS; ENDOMETRIAL ABLATION; ENTHALPY METHOD; TISSUE NECROSIS;

BIOMEDICAL ENGINEERING;

BIOMEDICAL ENGINEERING; BLOOD; DISEASE CONTROL; MATHEMATICAL MODELS; PATIENT TREATMENT; PHASE TRANSITIONS; TISSUE;

EID: 33947727989     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2006.11.045     Document Type: Article

References (40)

1. Baldwin S., Pelman A., and Bert J. A heat transfer model of thermal balloon endometrial ablation. Ann. Biomed. Eng. 29 (2001) 1009-1018
2. Persson B., Friberg B., Olsrud J., Rioseco J., and Ahlgren M. Numerical calculations of temperature distributions resulting from intracavity heating of the uterus. Gyn. Endoscopy 7 (1998) 203-209
3. Reinders D., Baldwin S., and Bert J. Endometrial thermal balloon ablation using a high temperature, pulsed system: a mathematical model. J. Biomech. Eng. 125 (2003) 841-851
4. He X., and Bischof J. Quantification of temperature and injury response in thermal therapy and cryosurgery. Crit. Rev. Biomed. Eng. 31 (2003) 355-421
5. He X., Mcgee S., Coads J., Schmidlin F., Iaizzo P., Swanlund D., Kluge S., Rudie E., and Bischof J. Investigation of the thermal and tissue injury behavior in microwave thermal therapy using a porcine kidney model. Int. J. Hyperthermia 20 (2004) 567-593
6. Liu J., Zhu L., and Xu L. Studies on the three-dimensional temperature transients in the canine prostate during transurethral microwave thermal therapy. J. Biomech. Eng. 122 (2000) 372-379
7. Xu L., Rudie E., and Holmes K. Transurethral thermal therapy (T3) for the treatment of benign prostate hyperplasia (BPH) in the canine: analysis using Pennes bioheat equation, HTD 268. Advances in Bioheat and Mass Transfer: Microscale Analysis of Thermal Injury Processes, Instrumentation, Modeling, and Clinical Applications (1993), American Society of Mechanical Engineers, New York
8. Xu L., Zhu L., and Holmes K. Blood perfusion measurements in the canine prostate during transurethral hyperthermia. Ann. New York Acad. Sci. 858 (1998) 21-29
9. Yuan D., Valvano J., Rudie E., and Xu L. 2D finite difference modeling of microwave heating in the prostate, HTD 322/BED 32. Advances in Heat and Mass Transfer in Biotechnology (1995), American Society of Mechanical Engineers, New York
10. Zhang J., Sandison G., Murthy J., and Xu L. Numerical simulation for heat transfer in prostate cancer cryosurgery. J. Biomech. Eng. 127 (2005) 279-293
11. Zhou J., and Liu J. Numerical study on 3d light and heat transfer in biological tissue with large blood vessels during laser-induced thermotherapy. Numer. Heat Transfer A 45 (2004) 415-449
12. Shamsundar N., and Sparrow E. Analysis of multidimensional conduction phase change via the enthalpy method. J. Heat Transfer 97 (1975) 333-340
13. Voller V. Numerical methods for phase change problems. In: Minkowycz W.J., Sparrow E.M., and Murthy J.Y. (Eds). Handbook of Numerical Heat Transfer. second ed. (2006), John Wiley and Sons, Hoboken
14. Voller V., and Cross M. Accurate solutions of moving boundary problems using the enthalpy method. Int. J. Heat Mass Transfer 24 (1981) 545-556
15. Bell G. On the performance of the enthalpy method. Int. J. Heat Mass Transfer 25 (1982) 587-589
16. Udell K. The thermodynamics of evaporation and condensation in a porous media heated from above with evaporation, condensation, and capillary effects. J. Heat Transfer 105 (1983) 482-492
17. Udell K. Heat transfer in porous media considering phase change and capillarity - the heat pipe effect. Int. J. Heat Mass Transfer 28 (1985) 485-495
18. Pham Q. A fast unconditionally stable finite-difference scheme for heat conduction with phase change. Int. J. Heat Mass Transfer 28 (1985) 2079-2084
19. Bhavaraju N., and Valvano J. Thermophysical properties of swine myocardium. Int. J. Thermophys. 20 (1999) 665-676
20. Diller K., Valvano J., and Pearce J. Bioheat transfer. In: Kreith F. (Ed). CRC Handbook of Thermal Engineering (2000), CRC Press, Boca Raton
21. Duck F. Physical Properties of Tissue (1990), Academic Press, London pp. 9-42
22. Olsrud J., Friberg B., Ahlgren M., and Persson B. Thermal conductivity of uterine tissue in vitro. Phys. Med. Biol. 43 (1998) 2397-2406
23. Cooper T., and Trezck G. Correlation of thermal properties of some human tissues with water content. Aerosp. Med. 42 (1971) 24-27
24. Skalak R., and Chien R. Handbook of Bioengineering (1987), McGraw-Hill, New York
25. Spells K. The thermal conductivities of some biological fluids. Phys. Med. Biol. 5 (1960) 139-152
26. A. Takata, L. Zaneveld, W. Richter, Laser-induced thermal damage in skin. USAF School Aerospace Med. Brooks AFB, TX, Rep. SAM-TR-77-38, 1977.
27. Welch A. The thermal response of laser irradiated tissue. J. Quant. Electron. 20 (1984) 1471-1481
28. Hayes L., and Diller K. A finite element model for phase change heat transfer in a composite tissue with blood perfusion. ISA Trans. 22 (1983) 33-37
29. Pennes H. Analysis of tissue and arterial blood temperatures in the resting human forearm. J. Appl. Physiol. 85 (1948) 5-34
30. Xuan Y., and Roetzel W. Transient response of the human limb to an external stimulus. Int. J. Heat Mass Transfer 41 (1998) 229-239
31. Weinbaum S., and Jiji L. A two-phase theory for the influence of circulation on heat transfer in surface tissue (1979), ASME, New York 79-WA/HT-72
32. Weinbaum S., Jiji L., and Lemons D. Theory and experiment for the effect of vascular microstructure on surface tissue heat transfer - part I: anatomical foundation of model conceptualization. J. Biomech. Eng. 106 (1984) 321-330
33. Wissler E. Comments on the new bioheat equation proposed by Weinbaum and Jiji. J. Biomech. Eng. 109 (1987) 226-233
34. He Y., Liu H., and Himeno R. A one-dimensional thermo-fluid model of blood circulation in the human upper limb. Int. J. Heat Mass Transfer 47 (2004) 2735-2745
35. Wynn R. Biology of the Uterus (1977), Plenum, New York
36. Henriques F., and Moritz A. Studies of thermal injury I: the conduction of heat to and through the skin and the temperatures attained therein. A theoretical and experimental investigation. Am. J. Pathol. 23 (1947) 531-549
37. Dai W., Yu H., and Nassar R. 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 46 (2004) 447-461
38. Deng Z., and Liu J. Monte Carlo method to solve multidimensional bioheat transfer problems. Numer. Heat Transfer B 42 (2002) 543-567
39. Loulou T., and Scott E. Thermal dose optimization in hyperthermia treatments by using the conjugate gradient method. Numer. Heat Transfer A 42 (2002) 661-683
40. Dai W., and Nassar R. A numerical method for optimizing laser power in the irradiation of a 3D triple-layered skin structure. Numer. Heat Transfer A 48 (2005) 21-41