Modelling the Cryopreservation Process of a Suspension of Cells: The Effect of a Size-Distributed Cell Population - Computational Modeling in Tissue Engineering - page 174

9. Fadda, S., Cincotti, A., Cao, G.: The effect of cell size distribution during the cooling stage of
cryopreservation without CPA. AIChE. J. 56, 2173-2185 (2010)
10. Fadda, S., Cincotti. A., Cao, G.: Rationalizing the equilibration and cooling stages of
cryopreservation: the effect of cell size distribution. AIChE. J. 54, 1075-1095 (2011)
11. Fadda, S., Briesen, H., Cincotti, A.: The effect of EIF dynamics on the cryopreservation
process of a size distributed cell population. Cryobiology 62, 218-231 (2011)
12. Harris, C.L., Toner, M., Hubel, A., Cravalho, E.G., Yarmush, M.L., Tompkins, R.G.:
Cryopreservation of isolated hepatocytes: intracellular ice formation under various chemical
and physical conditions. Cryobiology 28, 436-444 (1991)
13. Hunt, C.J., Armitage, S.E., Pegg, D.E.: Cryopreservation of umbilical cord blood: 1.
osmotically inactive volume, hydraulic conductivity and permeability of CD34 + cells to

dimethyl sulphoxide. Cryobiology 46, 61-75 (2003)
14. Hunt, C.J., Armitage, S.E., Pegg, D.E. Cryopreservation of umbilical cord blood: 2.
Tolerance of CD34 + cells to multimolar dimethyl sulphoxide and effect of cooling rate on
recovery after freezing and thawing. Cryobiology 46, 76-87 (2003)
15. Jacobs, M.H.: The simultaneous measurement of cell permeability to water and to dissolved
substances. J. Cell. Comp. Physiol. 2, 427-444 (1933)
16. Karlsson, J.O.M.: Effect of solution composition on the theoretical prediction of the ice
nucleation kinetics and thermodynamics. Cryobiology 60, 43-51 (2010)
17. Karlsson, J.O.M., Toner, M.: Long-term storage of tissues by cryopreservation: critical
issues. Biomaterials 17, 243-256 (1996)
18. Karlsson, J.O.M., Toner, M.: Cryopreservation. In: Lanza, R., Langer, R., Vacanti, J. (eds.)
Principles of Tissue Engineering, 2nd edn. Academic press, San Diego (2000)
19. Karlsson, J.O.M., Cravalho, E.G., Toner, M.: A model diffusion—limited ice growth inside
biological cells during freezing. J. Appl. Phys. 75, 4442-4445 (1994)
20. Katkov, I.I.: Amicus Plato, sed magis amica veritas: plots must obey the laws they refer to
and models shall describe biophysical reality! Cryobiology 62, 242-244 (2011)
21. Kedem, O., Katchalsky, A.: Thermodynamics analysis of the permeability of biological
membranes to non-electrolytes. Biochim. Biophys. Acta. 27, 229-246 (1958)
22. Kleinhans, F.W.: Membrane permeability modeling: Kedem-Katchalsky vs a two-parameters
formalism. Cryobiology 37, 271-289 (1998)
23. Levin, R.L., Cravalho, E.G., Huggins, C.E.: A membrane model describing the effect of
temperature on the water conductivity of erythrocyte membranes at subzero temperatures.
Cryobiology 13, 415-429 (1976)
24. Mazur, P.: Kinetics of water loss from cells at subzero temperatures and likelihood of
intracellular freezing. J. Gen. Physiol. 47, 347-369 (1963)
25. Mazur, P.: Principles of cryobiology. In: Fuller, B., Lane, N., Benson, E.E. (eds.) Life in
Frozen State. CRC Press, London (2004)
26. Mazur, P.: A biologist's view of the relevance of thermodynamics and physical chemistry to
cryobiology. Cryobiology 60, 4-10 (2010)
27. Mazur, P., Leibo, S.P., Chu, E.H.Y.: A two-factor hypothesis of freezing injury—evidence
from Chinese hamster tissue culture cells. Exp. Cell. Res. 71, 345-355 (1972)
28. McGrath, J.J.: Preservation of biological material by freezing and thawing. In: Shitzer, A.,
Eberhart, R.C. (eds.) Heat Transfer in Medicine and Biology, Analysis and Application vol.
2, pp. 185-238. Plenum Press, New York (1985)
29. McGrath, J.J.: Membrane transport properties. In: McGrath, J.J., Diller, K.R. (eds.) Low
Temperature Biotechnology: Emerging Applications and Engineering Contributions. ASME,
New York (1988)
30. Miyamoto, H., Ishibashi, T.: Effects of the temperature of ice-seeding on survival of frozen-
and-thawed mouse morulae. Cell. Mol. Life Sci. 37, 187-188 (1981)
31. Mukherjee, I.N., Song, Y.C., Sambanis, A.: Cryoprotectant delivery and removal from
murine insulinomas at vitrification-relevant concentrations. Cryobiology 55, 10-18 (2007)
32. Petersen, A., Schneider, H., Rau, G., Glasmacher, B.: A new approach for freezing of aqueous
solutions under active control of the nucleation temperature. Cryobiology 53, 248-257 (2006)