Thermal stress modeling of the freezing of biological tissue

American Society of Mechanical Engineers, Bioengineering Division (Publication) BED

Volumn 44, Issue , 1999, Pages 183-187

  Rabin, Yoed ^a   Steif, Paul S ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOMECHANICS; CRYOGENICS; FREEZING; HEAT TRANSFER; KINEMATICS; MATHEMATICAL MODELS; PHASE EQUILIBRIA; PHASE TRANSITIONS; TEMPERATURE; THAWING; THERMAL STRESS;

CRYODESTRUCTION; CRYOPROTECTANTS;

TISSUE;

EID: 0033296864     PISSN: None     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Boley, B. A., and Weiner, J. H., 1963, "Elasto-Plastic Thermal Stress in a Solidifying Body," J. Mech Phys Solids, Vol. 11, pp. 145-154.
2. Fletcher, N. H., 1970, The Chemical Physics of Ice, Cambridge University Press, Cambridge, England.
3. Gao, D. Y., Lin, S., Watson, P. F., and Critser, J. K., 1995, "Fracture Phenomena in an Isotonic Salt Solution During Freezing and Their Elimination Using Glycerol," Cryobiology, Vol. 32, pp. 270-284.
4. Hunt, C. J., Song, Y. C., Bateson, A. J., and Pegg, E. D., 1994, Fractures in Cryopreserved Arteries," Cryobiology, Vol. 31, pp. 506-515.
5. Ishiguro, H., and Rubinsky, B., 1994, "Mechanical Interaction Between Ice Crystals and Red Blood Cells During Directional Solidification," Cryobiology, Vol. 31, pp. 483-500.
6. Lin, S., Gao, D. Y., and Yu, X. C., 1990, Thermal Stress Induced by Water Solidification in a Cylindrical Tube," ASME J. of Heat Trans., Vol. 112, pp. 1079-1082.
7. Mazur, P., 1984, "Freezing of Living Cells: Mechanisms And Implications," Am J Physiol., Vol. 247, pp. C125-C142.
8. Meryman, H. T., 1974, Freezing Injury and its Prevention in Living Cells," An. Rev. of Biophysics and Bioeng., Vol. 3, pp. 341-363.
9. Pegg, D. E., 1996, "Problems in the Cryopreservation of Tissues and Organs," Cryobiology, Vol. 33, No. 6, pp. 658-659.
10. Powell, R. W., 1958, "Thermal Conductivity and Expansion Coefficients of Water and Ice," Adv. Phys., Vol. 7, pp. 276-297.
11. Rabin, Y., and Steif, P. S., 1996, "Analysis of Thermal Stresses Around Cryosurgical Probe," Cryobiology, Vol. 33, pp. 276-290.
12. Rabin, Y., Steif, P.S., Taylor, M. J., Julian, T. B., and Wolmark, N., 1996, "An Experimental Study of the Mechanical Response of Frozen Biological Tissues at Cryogenic Temperatures," Cryobiology, Vol. 33, pp. 472-482.
13. Rabin, Y., Olson, P., Taylor, M.J., Steif, P.S., Julian, T. B., and Wolmark, N., 1997, "Gross Damage Accumulation In Frozen Rabbit Liver Due to Mechanical Stress at Cryogenic Temperatures," Cryobiology, Vol. 34, pp. 394-405.
14. Rabin, Y., Taylor, M. J., and Wolmark, N., 1998, "Thermal Expansion Measurements of Frozen Biological Tissues at Cryogenic Temperatures," ASME J. of Biomech. Eng., Vol. 120, No. 2, pp. 259-266.
15. Rabin, Y. and Steif, P.S., 1998, "Thermal Stresses in a Freezing Sphere and its Application to Cryobiology," ASME J. of Appl. Mech., Vol. 65, No. 2, pp.328-333.
16. Rabin, Y., and Steif, P.S., 1999, "Thermal Stress Modeling In Cryosurgery," Int. J. of Solids and Structures (in press, will appear in June)
17. Rubinsky, B., Cravalho, E. G., and Mikic, B., 1980, "Thermal Stress in Frozen Organs," Cryobiology, Vol. 17, pp. 66-73.
18. Rubinsky, B., 1982, "Thermal Stress During Solidification," ASME J. of Heat Trans., Vol. 104, pp. 196-199.
19. Sohnel, O., and Novotny, P., 1995, Densities of aqueous solution of inorganic substances, Elsevier Scientific.
20. Zabaras, N., Ruan, Y., and Richmond, O., 1991, "On the Calculation of Deformations and Stresses During Axially Symmetric Solidification," ASME J. of Appl. Mech., Vol. 58, pp. 865-871.