1975
DOI: 10.1115/1.3450434
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The Thermodynamics of Water Transport From Biological Cells During Freezing

Abstract: A thermodynamic model for the freezing of biological cells has been developed and has been applied to human erythrocytes. Analytical expressions describing the dynamics of water loss during the several stages of the freezing process have been derived from a cell modeled as an open system surrounded by a membrane permeable to water only. The permeability of the membrane to water is the most significant cell parameter in this process and in the present model, and is assumed to be a function of the temperature an… Show more

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Cited by 37 publications
(16 citation statements)
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“…Although, the Lp measured at -5°C was similar for both nonacclimated and acclimated protoplasts, we suspect that impeded water efflux is occurring at the lower temperatures imposed on the acclimated protoplasts. This is suggested by theoretical considerations that reduced water efflux at low temperatures may occur due to the influence of temperature and increased osmolality on the hydraulic conductivity of the plasma membrane (8,22).…”
Section: Discussionmentioning
confidence: 99%
“…Although, the Lp measured at -5°C was similar for both nonacclimated and acclimated protoplasts, we suspect that impeded water efflux is occurring at the lower temperatures imposed on the acclimated protoplasts. This is suggested by theoretical considerations that reduced water efflux at low temperatures may occur due to the influence of temperature and increased osmolality on the hydraulic conductivity of the plasma membrane (8,22).…”
Section: Discussionmentioning
confidence: 99%
“…The first of such models was due to Mazur in 1963. Mazur developed a mathematical model to predict the water content of cells subjected to freezing, the essence of which became the basis of almost all subsequent treatments (Mansoori, 1975;Silvares et al, 1975;Scheiwe & Koerber, 1983). Briefly, for a cell suspended in a freezing medium and subjected to sub-freezing temperatures, ice preferentially forms outside the cell in the freezing medium.…”
Section: Introductionmentioning
confidence: 99%
“…[71,72,112] and others), defined cryobiology as a science where much could be gained even by relatively simple models making broadly unrealistic assumptions. In fact as cryobiology has progressed as a discipline, various researchers have made use of models to determine optimal cooling and/or warming profiles [16,51,81,102,103,117,122], optimal pre-and post-cooling processing protocols [11,12,37,39,69,93,108], intracellular ice formation kinetics [3,45,46,119,125], ice damage in and optimal cryopreservation of tissues [1,2,23,31,99,111,114,126,127], among others.…”
Section: Introductionmentioning
confidence: 96%