A general model for the propagation of uncertainty in measurements into heat transfer simulations and its application to cryosurgery

Cryobiology

Volumn 46, Issue 2, 2003, Pages 109-120

  Rabin, Yoed ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Bioheat transfer; Cryosurgery; Lethal temperature; Thermal analysis; Uncertainty

Indexed keywords

ARTICLE; CRYOSURGERY; HEAT TRANSFER; HISTOPATHOLOGY; MATHEMATICAL MODEL; MEASUREMENT; PRIORITY JOURNAL; SIMULATION; TEMPERATURE;

EID: 0037384608     PISSN: 00112240     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0011-2240(03)00015-4     Document Type: Article

References (25)

1. P.L. Altman, D.S. Dittmer, Respiration and circulation, Federation of American Societies for Experimental Biology (Data Handbook), Bethesda, MD, 1971.
2. Carnahan B., Luther H.A., Wilkes J.O. Applied Numerical Methods. 1969;Wiley, USA.
3. Charny C.K. Mathematical models of bioheat transfer. Hartnett J.P., Irvine T.F., Cho Y.I. Advances in Heat Transfer. 1992;19-156 Academic Press, New York.
4. Chato J.C. Selected thermophysical properties of biological materials. Shitzer A., Eberhart R.C. Heat Transfer in Biology and Medicine. 1985;413-418 Plenum Press, NY.
5. Diller K.R. Modeling of bioheat transfer processes at high and low temperatures. Hartnett J.P., Irvine T.F., Cho Y.I. Advances in Heat Transfer. 1992;157-358 Academic Press, New York.
6. Datta A.K. Biological and Bioenvironmental Heat and Mass Transfer. 2002;Marcel Dekker, USA.
7. Fukusako S. Thermophysical properties of ice, snow, and sea ice. Int. J. Thermophys. 11(2):1990;353-372.
8. Gage A.A., Baust J. Mechanisms of tissue injury in cryosurgery. Cryobiology. 37(3):1998;171-186.
9. Holman J.P. Experimental Methods for Engineers. seventh ed. 2001;McGraw-Hill, New York.
10. Kuzman R. Handbook of Thermodynamics and Tables. 1976;McGraw-Hill, New York.
11. Mahan J.R. Radiation Heat Transfer: A Statistical Approach. 2002;Wiley, New York.
12. Mazur P., Leibo S., Chu E.H.Y. A two-factor hypothesis of freezing injury. Exp. Cell Res. 71:1972;345-355.
13. Newman W.H., Lele P.P. A transient heating technique for the measurement of thermal properties of perfused biological tissues. ASME J. Biomech. Eng. 107:1985;219-227.
14. Pennes H.H. Analysis of tissue and arterial blood temperatures in the resting human forearm. J. Appl. Phys. 1:1948;93-122.
15. Rabin Y., Korin E. An efficient numerical solution for the multidimensional solidification (or melting) problem using a microcomputer. Int. J. Heat Mass Trans. 36(3):1993;673-683.
16. Rabin Y., Coleman R., Mordohovich D., Ber R., Shitzer A. A new cryosurgical device for controlled freezing, part ii: in vivo experiments on rabbits' hind thighs. Cryobiology. 33:1996;93-105.
17. Rabin Y. Uncertainty in measurements of fluid temperature in tubes. Cryo-Letters. 19(5):1998;319-326.
18. Rabin Y. Uncertainty in temperature measurements during cryosurgery. Cryo-Letters. 19(4):1998;213-224.
19. Rabin Y., Shitzer A. Numerical solution of the multidimensional freezing problem during cryosurgery. ASME J. Biomech. Eng. 120(1):1998;32-37.
20. Rabin Y. The effect of temperature-dependent thermophysical properties in heat transfer simulations of biomaterials in cryogenic temperatures. Cryo-Letters. 21:2000;163-170.
21. Rabin Y., Stahovich T.F. Cryoheater as a means of cryosurgery control. Phys. Med. Biol. 48:2002;619-632.
22. Shitzer A. On the relationship between temperature, blood flow, and tissue heat generation. Shitzer A., Eberhart R.C. Heat Transfer in Biology and Medicine. 1985;395-409 Plenum Press, New York.
23. Shitzer A., Eberhart R.C. Heat Transfer in Biology and Medicine. 1985;Plenum Press, New York.
24. J.D. Smith, R.V. Devireddy, J.C. Bischof, Prediction of thermal history and interface propagation during freezing in biological systems - Latent heat and temperature-dependent property effects, in: Proceedings of the 5th ASME/JSME Joint Thermal Engineering Conference, San Diego, CA, AJTE, 1999, pp. 99-6520.
25. Valvano J.W., Allen J.T., Bowman H.F. The simultaneous measurement of thermal conductivity, thermal diffusivity, and perfusion in small volumes of tissue. ASME J. Biomech. Eng. 106:1984;192-197.