Survival of tissue culture cells frozen by a two-step procedure to -196 degrees C. I. Holding temperature and time.

A two-step freezing procedure has been examined in order to separate some of the causes of damage following freezing and thawing. Different holding temperatures and times have been studied during the freezing of Chinese hamster tissue culture cells in dimethyl sulphoxide (5%, $\text{v}\text{v}$). Damage following rapid cooling to, time at, and thawing from different holding temperatures was found to increase at lower holding temperatures and at longer times. Damage on subsequent cooling from the holding temperature to ?196 °C and thawing was found to diminish at lower holding temperatures and longer times. The net result was that optimal survival from ?196 °C was obtained after 10 min at ?25 °C. Protection against the second step of cooling to ?196 °C was acquired at the holding temperature itself and was absent at ?15 °C without freezing.It seems that this technique will allow the different phases of freezing injury to be separated. These phases may include thermal shock to the holding temperature, hypertonic damage at the holding temperature and dilution shock on thawing from ?196 °C.     

Membrane leakage of solutes after thermal shock or freezing

Washed human erythrocytes were cooled at different rates from +37 °C to 0 °C in hypertonic solutions of either NaCl (1.2 m) or of a mixture of sucrose (40% $\text{w}\text{v}$) with NaCl (2.53% $\text{w}\text{v}$). Thermal shock hemolysis was measured and the surviving cells were examined for their mass and cell water content and also for net movements of sodium, potassium, and ¹⁴C-sucrose. The results were compared with those obtained from cells in sucrose (40% $\text{w}\text{v}$) initially, cooled at different rates to ?196 °C and rapidly thawed.The cells cooled to 0 °C in NaCl (1.2 m) showed maximal hemolysis at the fastest cooling rate studied (39 °C/min). In addition in the surviving cells this cooling rate induced the greatest uptake of ¹⁴C-sucrose and increase in cell water and cell mass and also entry of sodium and loss of cell potassium. A different dependence on cooling rate was seen with the cells cooled from +37 °C to 0 °C in sucrose (40% $\text{w}\text{v}$) with NaCl (2.53% $\text{w}\text{v}$). In this solution, survival decreased both at slow and fast cooling rates correlating with the greatest uptake of cell sucrose and increase in cell water. There was extensive loss of cell potassium and uptake of sodium at all cooling rates, the cation concentrations across the cell membrane approaching unity.The cells frozen to ?196 °C at different cooling rates in sucrose (40% $\text{w}\text{v}$) initially, also showed sucrose and water entry on thawing together with a loss of cell potassium and an uptake of cell sodium. More sucrose entered the cells cooled slowly (1.8 ° C/min) than those cooled rapidly (318 ° C/min).These results show that cooling to 0 °C in hypertonic solutions (thermal shock) and freezing to ?196 °C both induce membrane leaks to sucrose as well as to sodium and potassium. These leaks are not induced by the hypertonic solutions themselves but are due to the effects of the added stress of the temperature reduction on the membranes modified by the hypertonic solutions. The effects of cooling rate are explicable in terms of the different times of exposure to the hypertonic solutions. These results indicate that the damage observed after thermal shock or slow freezing is of a similar nature.     

Use of two-step cooling procedures to examine factors influencing cell survival following freezing and thawing

The two-step cooling procedure has been used to investigate factors involved in cell injury. Chinese hamster fibroblasts frozen in dimethylsulphoxide (5%, $\text{v}\text{v}$) were studied. Survival was measured using a cell colony assay and simultaneous observations of cellular shrinkage and the localization of intracellular ice were done by an ultrastructural examination of freeze-substituted samples.Correlations were obtained between survival and shrinkage at the holding temperature. However, cells shrunken at ?25 °C for 10 min (the optimal conditions for survival on rapid thawing from ?196 °C) contain intracellular ice nuclei at ?196 °C detectable by recrystallization. These ice nuclei only form below ?80 °C and prevent recovery on slow or interrupted thawing but not on rapid thawing. Cells shrunken at ?35 °C for 10 min (just above the temperature at which intracellular ice forms in the majority of rapidly cooled cells) can tolerate even slow thawing from ?196 °C, suggesting that they contain very few or no ice nuclei even in liquid nitrogen. Damage may correlate with the total amount of ice formed per cell rather than the size of individual crystals, and we suggest that injury occurs during rewarming and is osmotic in nature.     

Influence of various cooling and warming temperatures on survival after thawing of cryopreserved Plasmodium berghei

Heavy concentrations of viable P. berghei in the natural milieu [20% ($\text{v}\text{v}$) parasitized red blood cells, or 20% ($\text{w}\text{v}$) homogenate of splenic tissue in which malarial cells sequestered wer suspended in a serum-free, protective medium. Various rates of cooling are designated as low (1.3 °C/min) and intermediate (4 °C/ min) on exposure in cold gas evolving from liquid nitrogen refrigerant to ?70 °C, and this followed by direct immersion in the low temperature refrigerant (?196 °C). Cooling designated high was accomplished by abrupt immersion of the sealed vials with the live malaria-bearing tissue in the liquid nitrogen refrigerant. Rates of warming and thawing were designated low (after slow rewarming of frozen tissue in air at 25.5 °C) and high (after rapid rewarming and thawing in a water bath at 40 °C). Strip chart recordings were made of the complete cooling and freezing wave patterns of the suspending medium to ?70 ° C. The functional survivals of the freeze-thaw P. berghei malaria were measured by a special infectivity titration method.None of the cooling and freezing treatments adversely influenced the parasite survivals. Our data showed the optimum cooling velocity that maximally protected this highly lethal P. berghei strain within the host erythrocyte matrix was 1.3 ° C/min to ?70 to ?196 ° C. The functional survivals of two RBC stabilates with P. berghei, after retrieval from 25 days storage in the liquid nitrogen refrigerant, excelled by more than 100-fold the infectivity titer found by viability assay in the pool of the 0-days nonfrozen infected RBC.The precise factors favoring the maximal survivals of the freeze-thaw P. berghei are unclear. Several factors, singly or in combination, may have played key roles in protecting the living P. berghei from the freeze-thaw damage. These factors are: The composition of the suspending medium fortified by additions of bicarbonate, glucose, lactalbumin hydrolysate and yeastolate; the presence of naturally occurring peptide-containing materials surrounding the parasites in the host red cell milieu; and the protective glycerol agent. Any of these constituents singly or combined possess potential for reducing freeze-thaw injury to the parasites to produce maximal survivals.     

Cryopreservation of the promastigote form of Leishmania tropica var major at different cooling rates

Callow L. L. and Farrant J. 1973. Cryopreservation of the promastigote form of Leishmania tropica var major at different cooling rates. International Journal for Parasitology, 3: 77–88. An investigation of the optimal conditions for the preservation of Leishmania tropica var major by freezing was undertaken because it was important to obtain a high yield when the thawed organisms were cultured. As a prerequisite for comparing different conditions, assay methods were devised. One method was based on the reduced growth of promastigotes in diphasic medium that was found to follow inoculation of relatively few organisms. The other employed serial ten-fold dilutions of suspensions of organisms, and the inoculation of medium at each dilution stage. Viability was related to the time taken for flagellates to be found in the medium. A 1·0 m solution of glycerol in the flagellate suspension inhibited growth when diphasic medium was inoculated. This effect was removed by separating the organisms from the glycerol before inoculation, or by diluting the suspension approximately one hundred-fold. A similar inhibition was not observed for dimethylsulphoxide (DMSO). Glycerol (1·0 m), DMSO (1·5 m), polyvinylpyrrolidone (10% w/v) and sucrose (0·3 m) were not obviously detrimental to the organisms. Normal growth in diphasic medium resulted when these additives were removed after being in contact with organisms for 5 h in an ice bath. In freezing experiments, flagellates survived freezing and thawing while they were still in contact with their nutrient medium, and also after they had been separated, washed and resuspended in isotonic saline with 10 mm of glucose. The survival rate was much greater when either 1·5 m DMSO or 1·0 m glycerol was added. These additives were compared at one rate only, $\text{0·3°C}\text{min}$, and DMSO gave better protection. With 1·5 m DMSO, maximal survival was obtained at a cooling rate of $\text{1·9°C}\text{min}$. Relatively high rates of cooling, that is, over $\text{400°C}\text{min}$ were detrimental to the organisms.     

Subzero preservation of mechanically prepared porcine islets of Langerhans: Response to a glucose challenge in vitro

Islets of Langerhans, prepared by a new mechanical process and avoiding enzymatic digestion were frozen to ?196 °C. Two rates of freezing were compared, instantaneous directly into liquid nitrogen and slow freezing at 1 °C min^?1. Post-thaw survival was greater after slow freezing.Three concentrations of dimethyl sulfoxide (DMSO) were compared. The 10% $\text{v}\text{v}$ concentration was found to give greater success than 20 or 30%. Contaminating exocrine tissue was found not to survive the freezing process.     

Survival of electrical activity of deep frozen fetal mouse hearts after microwave thawing

Hearts removed from 17–19 day fetal mice were frozen in liquid nitrogen and tested for electrical activity after rewarming. After exposure to various cryoprotective agents, hearts were cooled at 0.5–0.7 °C/min. to ?100 °C and then stored in liquid nitrogen for periods between 72 and 216 hr. Exposure to controlled microwaves at 2450 MHz or immersion in a water bath at 25 C was used in thawing. Electrical activity was studied for periods as long as 90 days after subcutaneous implantation into the ear of syngeneic adult mice. Overall, 59% of 54 frozen-thawed fetal hearts showed strong electrical activity after 30 days when the cryoprotective solution that had been used contained 10% ($\text{v}\text{v}$) dimethylsulfoxide (DMSO) and 10% ($\text{v}\text{v}$) fetal calf serum in Hepes buffer. This system consists of a multicellular structure that is nourished by diffusion; it is well suited for the evaluation of different cryoprotective agents and for various thawing techniques.     

The effect of cooling rate and of dimethyl sulfoxide concentration on low temperature preservation of neonatal rat heart cells

The effect of five cooling rates, 1, 5, 10, 30, and 50 °C/min, and of four DMSO concentrations, 2.5, 5, 7.5, and 10%, on the survival of neonatal rat heart cells after freezing and thawing were studied. Growth area, contracting area and contraction frequency were used as viability parameters. Growth area and contracting area were measured in a number of fields in statistically adjusted locations of the culture dish on the second and on the fifth day of culturing.Without freezing, DMSO concentrations higher than 5% caused a considerable decrease of the growth area and of the contracting area. After freezing and thawing, biphasic survival curves were found with a narrow optimum at 2.5, 5, and 10% DMSO and a broad optimum at 7.5% DMSO. The survival based on the growth area and the survival based on the contracting area were about the same on the second day of culturing but differed on the fifth day. On the second day of culturing the highest survival was 73%, at a cooling rate of 5 °C/min and with 5% DMSO. On the fifth day of culturing the highest survival based on the growth area was 100%, at a cooling rate of 10 °C/min with 7.5% DMSO; the contracting area was the same as on the second day. The cooling rate of 5 °C/min was optimal at all DMSO concentrations tested. There was no correlation between the contracting area and the spontaneous contraction frequency after freezing and thawing when both were expressed as percentages of the control. The contraction frequency after freezing and thawing was independent of the cooling rate and was maximally 50% of the control value.     

Histological studies on cultured canine heart valves recovered from −196 °C

Adult canine heart valves have been frozen to ?196 °C, (0.5 to 0.7 °C/min from 0 to ?100 °C) with 10% DMSO ($\text{v}\text{v}$), stored, thawed at ~150 °C/min, and then cultured for 9 to 12 days. A histological analysis of sections derived from several valves indicates viability, but with a not inconsiderable loss of stromal fibrocytes and some damage to the endothelial lining. The practicality of freezing valve tissue for banking will have to be looked at critically, before valve transplants can be considered as a possible alternative to the well established use of mechanical valve prosthesis. However, demonstrating viability of heart valve tissue extends the range of tissues that are amenable to cryopreservation.     

The effect of cooling and warming rate on cortical cell function of glycerolized rabbit kidneys

Experiments previously reported (I. A. Jacobsen, D. E. Pegg, H. Starklint, J. Chemnitz, C. J. Hunt, P. Barfort, and M. P. Diaper, Cryobiology19, 668, 1982) suggested that rabbit kidneys permeated with 2 M glycerol are least damaged during freezing and thawing if they are cooled very slowly (1 °C/ hr). Using similar techniques of glycerolization, cooling, storage at ?80 °C, rewarming, and deglycerolization, active cell function in cortical tissue slices prepared from such kidneys has now been studied. Oxygen uptake, tissue $\text{K}{}^{\mathrm{+}}\text{Na}{}^{\mathrm{+}}$ ratio after incubation, and slice/medium PAH ratio after incubation were measured. Kidneys cooled at 3.1 °C/min and warmed at 4.2 °C/min gave poor results in the previous studies and the lowest levels of cell function in the present experiments. Kidneys cooled at 1 °C/hr exhibited degrees of slice function that were dependent on warming rate: warming at 1 °C/min was better than warming at either 1 °C/hr or c.20 °C/min. These results refine the previously drawn conclusions, (loc cit) and indicate optimal cooling and warming rates for rabbit kidneys containing 2 M glycerol, in the region of 1 °C/hr cooling and 1 °C/min warming. These rates are much lower than have hitherto been used by others for any system. Some implications of these findings are discussed.     

Cryopreservation of Plasmodium chabaudi I: Protection by glycerol and dimethyl sulfoxide during cooling and by glucose following thawing

Two additives, glycerol and dimethyl sulfoxide (Me₂SO), were investigated for toxic and protective effects for the intraerythrocytic stages of Plasmodium chabaudi. After incubation for 15 min, at 0 °C in Me₂SO and at 37 °C in glycerol, with various concentrations of these additives, half the blood from each treatment was cryopreserved in glass capillary tubes cooled at approximately 3600 °C min^?1 by plunging into liquid nitrogen. Warming was rapid, approximately 12000 °C min^?1, produced by agitation in a water bath at 40 °C for 1 min. The effect of dilution in phosphate-buffered saline (PBS) supplemented with various concentrations (5 to 25% $\text{v}\text{v}$) of glucose was also investigated in conjunction with the two cryoprotectants. Survival of both the frozen and the unfrozen control parasites was assayed by the mean time taken for the parasitemia in groups of five mice to reach a level of 2% following intraperitoneal injection of 10⁶ parasitized erythrocytes into each mouse. Glycerol was toxic at concentrations above 10% $\text{v}\text{v}$ and Me₂SO above approximately 15%. The use of glucose in the recovery medium resulted in a substantial improvement in the survival of frozen and unfrozen parasites previously incubated in either cryoprotectant. The amount of glucose required varied with the concentration of additive used, and optimum survival of cryopreserved parasites was obtaind with 10% $\text{v}\text{v}$ glycerol or 15% $\text{v}\text{v}$ Me₂SO and with 15% $\text{w}\text{v}$ glucose in the diluent medium.     

Schistosoma mansoni: Cryopreservation of schistosomula by two-step addition of ethanediol and rapid cooling

A simple, inexpensive, and highly effective technique for the Cryopreservation of schistosomula of Schistosoma mansoni is outlined by experiments designed to clarify the role of each of the steps involved. The technique consists of incubating schistosomula in 10% ($\text{v}\text{v}$) ethanediol for 10 min at 37 C followed by 5 min at 0 C and for a further 10 min in 35% ($\text{v}\text{v}$) ethanediol at 0 C. The schistosomular suspension is then aliquotted in 20-μl drops onto 40 × 5.5-mm glass slivers prepared from standard microscope coverslips, each drop being spread out to cover an area of approximately 15 × 4 mm. These glass slivers are then dropped directly into liquid nitrogen giving a cooling rate of approximately 5000 C min^?1. Survival is further improved if the schistosomula are at least 90 min old before Cryopreservation and if the frozen organisms are thawed in culture medium prewarmed to +42 C. Levels of survival obtained with this technique are consistently high: 44 to 60% as assessed by motility. From 400 ± 11 cryopreserved schistosomula injected intramuscularly into eight mice, a mean of 54.5 ± 16.3 adult worms were recovered representing an infection level of 13.7%, and which in turn represents 47.4% of the unfrozen control level.     

Interaction of rate of latent heat removal during freezing and rates of subsequent cooling and warming on survival of the blood protozoan, Babesia rodhaini

Babesia rodhaini parasites in murine blood containing 1.5 m DMSO were frozen at two rates, as judged by the duration of the “freezing plateau”, then cooled to ?196 °C and rewarmed at two rates to detect interactions between the duration of the plateau and rates of subsequent cooling and rewarming. Infectivity tests showed that fast and slow freezing (plateau times of about 1 sec and 30 sec, respectively) had similar effects on parasite survival when cooling was at 130 °C/min and warming was at 800 °C/min. However, when either the cooling rate was increased to 3500 °C/min or the warming rate was decreased to 2.3 °C/min, fast freezing decreased parasite survival more than did slow freezing. It is suggested that fast freezing accentuated the damaging effects of fast cooling and slow warming by increasing intracellular ice formation.     

Ultrastructural cryoinjury and cryoprotection of rough endoplasmic reticulum

One phase of a study on cryosurvival and cryoprotection of mammalian cells, in terms of ultrastructural alteration of rough endoplasmic reticulum (RER) within rat pancreatic acinar cells, is presented. Small (2–3 mm) squares of tissue, 0.7–0.9 mm in thickness, were compared as unfrozen controls, with (w) and without (wo) glycerol pretreatment (15% $\text{v}\text{v}$ in mammalian Ringer's solution) at 0 °C and 22 °C (to regulate glycerol permeability); as well as parallel frozen-thawed samples, after combinations of slow (3.8 °C/min) freezing (SF) and rapid (38 °C/sec) freezing (RF) with either slow (1.5 °C/min) thawing (ST) or rapid (8 °C/sec) thawing (RT). Regimens compared were SFRT, SFST, RFRT, and RFST, all w and wo glycerol pretreatment at 0 °C and 22 °C. Tissue from each treatment was prepared for electron microscopic observations. The results on rates of freezing and thawing and relative cryoprotection of intracellular and extracellular glycerol under conditions described are intended to serve as a correlative basis for subsequent parallel studies on function (protein synthesis) and ultrastructure of the frozen state. They now indicate the following: (1) Cryoinjury of RER, which occurred during all treatments compared, was manifested in irregularity, dilatation, vesiculation, and altered matrix density of cisternae, and ribosomal derangement or disjunction. Least injury was shown by some disorientation and dilatation with increasing degrees of damage involving accentuation of these and other alterations. Such ultrastructural alterations to RER are not unique to cryoinjury, since they have been induced by treatments and agents other than freeze-thawing in experimental pathology. (2) Cryoinjury is unique, however, in that it can be regulated to demonstrate a spectrum of degrees of injury to cells and their organelles, immediately after cryoexposure. Controlled cryoinjury is suggested as a research tool for studies on injury, in general, on an ultrastructural-functional level. (3) Glycerol is injurious or toxic during pretreatment. Toxicity, which resembles cryoinjury, is greater during 22 ° C (intracellular) than 0 °C (extracellular) glycerol pretreatment, especially with respect to dilatation of cisternae. (4) Extra-cellular glycerol is cryoprotective during both slow and rapid freezing followed by either slow or rapid thawing, while little or no cryoprotection is afforded when glycerol is located simultaneously in the intracellular and extracellular location. (5) Rate of freezing is more important than rate of thawing as a factor in cryosurvival. Rapid freezing is more injurious than slow freezing, in the absence of glycerol or in the presence of extracellular glycerol, with slight or no differences seen as a function of thawing rate. Neither rate of freezing nor rate of thawing is of serious consequence when glycerol is intracellular. (6) Rate of thawing has importance after slow freezing, when slow thawing is more injurious than rapid, but not after rapid freezing, either in the presence or absence of extracellular glyeerol.     

Isolation and low temperature preservation of adult rat heart cells

Adult rat heart cells were isolated by perfusion of the coronary system of the heart with a 0.05% collagenase solution.In one method (A), cells were finally isolated by shaking the heart fragments in a collagenase solution, after which the cells were washed and suspended in a Ca- and Mg-free buffered salt solution. The effect of different DMSO concentrations, 5, 10, 15, 20, 25, and 30% and the effect of the addition and dilution rate of DMSO on the number of trypan blue-excluding, intact, and contracting cells were studied. The highest DMSO concentration which was tolerated by the isolated adult heart cells was 15%. Variation of addition rate and the dilution rate of DMSO had no effect. After freezing at external cooling rates of 1, 5, 10, 30, and 50 °C/min to ?100 °C, and then rapidly to ?196 °C, in the presence of 5, 10, or 15% DMSO, reanimation of these cells was not achieved.In another method (B), heart fragments, after collagenase perfusion of the heart, were first treated with 5, 10, or 15% DMSO, after which the cells were isolated. If these cells were frozen at 1 °C/min with 10% DMSO, 15% of the cells, expressed as a percentage of the control, remained morphologically intact and 38% of the cells were contracting after thawing. Significantly higher survival percentages of 30 and 61%, respectively, were obtained if the heart fragments were left intact during freezing.     

A simplified method for freezing mouse embryos

Mouse oviducts containing eight-cell embryos were frozen to ?196 °C in 1.45 m DMSO. The cooling rate was 0.3 °C/min and thawing occurred at 3 °C/min. Dilution of DMSO took place either before or after flushing of the thawed oviducts. The yield of intact embryos was higher in the second group.In one particular series involving 21 donor mice (natural ovulation) 88 recovered embryos were transferred to the oviducts of recently mated pseudopregnant mice without prior in vitro culture to the blastocyst stage. Fifty-five live young were born.It is concluded that the freezing of embryos in the oviduct is a reliable method for establishing an embryo bank. Handling and collection of isolated embryos is not required and a large amount of material can be frozen at once. In vitro culturing of embryos is not required immediately after thawing in order to obtain a high yield of live young.     

The effect of cooling and warming rates on the survival of cryopreserved L-cells

A tissue culture assay has been used to measure the survival of murine lymphoma cells (L-cells) after freezing and thawing in the presence of 2 M glycerol or 1.6 M dimethyl sulfoxide. The effect of variations in cooling rate (0.1 to 10.0 °C/min) and warming rate (0.3 to 200 °C/min) were studied. It was found that survival exhibited a peak at the “conventional” combination of slow cooling and rapid warming (~1 and 200 °C/ min, respectively). It was also shown, however, that a second peak of similar magnitude occurred when the cells were cooled and rewarmed at 0.2-0.3 °C/min. These results are interpreted on the basis of current theories of freezing injury, stressing the importance of damage produced by the recrystallization of intracellular ice and by solute loading. The ultraslow rates of cooling and rewarming which produced the second survival peak are practicable for whole organs, and their potential importance for organ cryopreservation is apparent.     

Viability and Morphology of rat heart cells after freezing and thawing of the whole heart

Intact adult rat hearts were cooled in the presence of 10% DMSO according to an external cooling program which approximated the optimal external three-step cooling program for the isolated adult heart cells: 20 min at ?20 °C, 0.2 °C/min from ?20 to ?25, ?30, or ?50 °C, and rapid cooling to ?196 °C. Following rapid thawing, cells were isolated after perfusion with a 0.1% collagenase solution. Only cells which originated from the free wall of the right ventricle could be isolated, even after cooling to ?20 °C. Most cells from hearts cooled to ?196 °C did not survive. When the third cooling step was omitted and the end temperature of the second cooling step was ?30 °C, 38% of the cells excluded trypan blue, 29% were morphologically intact, and 30% showed spontaneous contractions after thawing, expressed as percentages of the control, A much lower survival was found after cooling to ?50 °C.Histological and electron microscopical study of the heart immediately after thawing revealed no differences between hearts cooled to ?20, ?30, or ?196 °C. Also no marked differences were observed between the morphological integrity after freezing and thawing of the atrium, the left and right ventricle walls, and the ventricular septum. The survival data suggest the presence of nonmorphologically detectable alterations in cells frozen to ?196 °C, compared to cells frozen to ?30 °C. The morphological investigations indicate no essential differences in resistance of atrial and ventricular cells to the freezing process.Experiments involving neonatal rat hearts cooled to ?196 °C, according to the method which gave optimal preservation of the isolated cells, revealed that after thawing cells are present from which growing and contracting cultures can be derived. It appears that cells in the neonatal rat heart are more resistant to freezing to ?196 °C than cells in the adult rat heart.     

Permeability of the human erythrocyte to glycerol in 1 and 2 m solutions at 0 or 20 °C

There are increasing numbers of exceptions to a central tenet in cryobiology that low-molecular-weight protective solutes such as glycerol must permeate cells in high concentration in order to protect them from freezing injury. To test this supposition, it is necessary to determine the amount of solute that has permeated a cell prior to freezing. The amount in human red cells was estimated from the flux equation $\text{ds}\text{dt}\text{= P}{}_{\mathrm{<mtext>\gamma </mtext>}}\text{A}$[(activity external solute) — (activity internal solute)]. Solving the equation required knowledge of P_γ the permeability constant for the solute. Estimates of P_γ for glycerol were made in two ways: (i) by measuring the time to 50% hemolysis of human red cells suspended in 1 or 2 m solutions of glycerol that were hypotonic with respect to NaCl, and (ii) by measuring the time required for red cells in 1 or 2 m solutions of glycerol in isotonic saline-buffer to undergo osmotic shock upon tenfold dilution with isotonic saline-buffer. The measurements were made at 0 and 20 °C. The values of P_γ were about 2.5 × 10^?4 cm/min at 20 °C and about 0.9 × 10^?4 cm/min at 0 °C. The difference corresponds to an activation energy of 7.2 kcal/mole. These values of P_γ are 100 to 600 times higher than those for glycerol permeation in the bovine erythrocyte. The values of P were relatively unaffected by whether calculations were based on classical or irreversible thermodynamics and by the choice of concentration units in the flux equations. Calculations of the kinetics of glycerol entry using these P values showed that the concentration of intracellular glycerol reaches 90% of equilibrium in 1.2 min at 0 °C and in 0.6 min at 20 °C. The osmolal ratio of intracellular glycerol to intracellular nonpermeating solutes reaches 90% of equilibrium in 7 min at 0 °C and in 3.2 min at 20 °C.