Extra- and intracellular ice formation in mouse oocytes

The occurrence of intracellular ice formation (IIF) during freezing, or the lack there of, is the single most important factor determining whether or not cells survive cryopreservation. One important determinant of IIF is the temperature at which a supercooled cell nucleates. To avoid intracellular ice formation, the cell must be cooled slowly enough so that osmotic dehydration eliminates nearly all cell supercooling before reaching that temperature. This report is concerned with factors that determine the nucleation temperature in mouse oocytes. Chief among these is the concentration of cryoprotective additive (here, glycerol or ethylene glycol). The temperature for IIF decreases from -14 degrees C in buffered isotonic saline (PBS) to -41 degrees C in 1M glycerol/PBS and 1.5M ethylene glycol/PBS. The latter rapidly permeates the oocyte; the former does not. The initial extracellular freezing at -3.9 to -7.8 degrees C, depending on the CPA concentration, deforms the cell. In PBS that deformation often leads to IIF; in CPA it does not. The oocytes are surrounded by a zona pellucida. That structure appears to impede the growth of external ice through it, but not to block it. In most cases, IIF is characterized by an abrupt blackening or flashing during cooling. But in some cases, especially with dezonated oocytes, a pale brown veil abruptly forms during cooling followed by slower blackening during warming. Above -30 degrees C, flashing occurs in a fraction of a second. Below -30 degrees C, it commonly occurs much more slowly. We have observed instances where flashing is accompanied by the abrupt ejection of cytoplasm. During freezing, cells lie in unfrozen channels between the growing external ice. From phase diagram data, we have computed the fraction of water and solution that remains unfrozen at the observed flash temperatures and the concentrations of salt and CPA in those channels. The results are somewhat ambiguous as to which of these characteristics best correlates with IIF.     

Cryopreservation of isolated hepatocytes: intracellular ice formation under various chemical and physical conditions.

Kinetics of intracellular ice formation (IIF) for isolated rat hepatocytes was studied using a cryomicroscopy system. The effect of the cooling rate on IIF was investigated between 20 and 400 degrees C/min in isotonic solution. At 50 degrees C/min and below, none of the hepatocytes underwent IIF; whereas at 150 degrees C/min and above, IIF was observed throughout the entire hepatocyte population. The temperature at which 50% of hepatocytes showed IIF (50TIIF) was almost constant with an average value of -7.7 degrees C. Different behavior was seen in isothermal subzero holding temperatures in the presence of extracellular ice. 50TIIF from isothermal temperature experiments was approximately -5 degrees C as opposed to -7.7 degrees C for constant cooling rate experiments. These experiments clearly demonstrated both the time and temperature dependence of IIF. On the other hand, in cooling experiments in the absence of extracellular ice, IIF was not observed until approximately -20 degrees C (at which temperature the whole suspension was frozen spontaneously) suggesting the involvement of the external ice in the initiation of IIF. The effect of dimethyl sulfoxide (Me2SO) on IIF was also quantified. 50TIIF decreased from -7.7 degrees C in the absence of Me2SO to -16.8 degrees C in 2.0 M Me2SO for a cooling rate of 400 degrees C/min. However, the cooling rate (between 75 and 400 degrees C/min) did not significantly affect 50TIIF (-8.7 degrees C) in 0.5 M Me2SO. These results suggest that multistep protocols will be required for the cryopreservation of hepatocytes.     

Effects of hold time after extracellular ice formation on intracellular freezing of mouse oocytes

MII mouse oocytes in 1 and 1.5M ethylene glycol(EG)/phosphate buffered saline have been subjected to rapid freezing at 50 degrees C/min to -70 degrees C. When this rapid freezing is preceded by a variable hold time of 0-3 min after the initial extracellular ice formation (EIF), the duration of the hold time has a substantial effect on the temperature at which the oocytes subsequently undergo intracellular ice formation (IIF). For example, in 1M EG, the IIF temperatures are -23.7 and -39.2 degrees C with 0 and 2 min hold times; in 1.5M EG, the corresponding IIF temperatures are -29.1 and -40.8 degrees C.     

Starfish oocytes form intracellular ice at unusually high temperatures

Starfish oocytes, eggs, and embryos are popular models for studying meiotic maturation, fertilization, and embryonic development. Their large (170- to 200-microm) oocytes are obtainable in copious amounts and are amenable to manipulations that mammalian oocytes are not. The most formidable obstacle to working with marine oocytes is their seasonal availability, yet a successful means of preserving them for use during the nonreproductive season has not been reported. The aim of this study was to investigate the response of starfish oocytes to freezing with rapid and slow cooling rates under a variety of conditions to develop a cryopreservation protocol for these cells. Cryomicroscopic observation revealed that starfish oocytes in isotonic medium undergo intracellular ice formation (IIF) at very high subzero temperatures, such that the mean difference between the temperature of extracellular ice formation (T(EIF)) and IIF (TI(IF)) was less than 3 degrees C and the average T(IIF) was approximately between -4 and -6 degrees C. Neither partial cellular dehydration nor addition of the cryopreservative dimethyl sulfoxide significantly depressed the T(IIF). Under some conditions, we observed ice nucleation at multiple locations within the cytoplasm, suggesting that several factors contribute to the unusually high T(IIF) during controlled-rate freezing and thus vitrification may be a more suitable method for cryopreserving these cells.     

Effect of warming rate on the survival of vitrified mouse oocytes and on the recrystallization of intracellular ice

Successful cryopreservation demands there be little or no intracellular ice. One procedure is classical slow equilibrium freezing, and it has been successful in many cases. However, for some important cell types, including some mammalian oocytes, it has not. For the latter, there are increasing attempts to cryopreserve them by vitrification. However, even if intracellular ice formation (IIF) is prevented during cooling, it can still occur during the warming of a vitrified sample. Here, we examine two aspects of this occurrence in mouse oocytes. One took place in oocytes that were partly dehydrated by an initial hold for 12 min at -25 degrees C. They were then cooled rapidly to -70 degrees C and warmed slowly, or they were warmed rapidly to intermediate temperatures and held. These oocytes underwent no IIF during cooling but blackened from IIF during warming. The blackening rate increased about 5-fold for each five-degree rise in temperature. Upon thawing, they were dead. The second aspect involved oocytes that had been vitrified by cooling to -196 degrees C while suspended in a concentrated solution of cryoprotectants and warmed at rates ranging from 140 degrees C/min to 3300 degrees C/min. Survivals after warming at 140 degrees C/min and 250 degrees C/min were low (<30%). Survivals after warming at > or =2200 degrees C/min were high (80%). When warmed slowly, they were killed, apparently by the recrystallization of previously formed small internal ice crystals. The similarities and differences in the consequences of the two types of freezing are discussed.     

Nucleation and growth of ice crystals inside cultured hepatocytes during freezing in the presence of dimethyl sulfoxide.

A three-part, coupled model of cell dehydration, nucleation, and crystal growth was used to study intracellular ice formation (IIF) in cultured hepatocytes frozen in the presence of dimethyl sulfoxide (DMSO). Heterogeneous nucleation temperatures were predicted as a function of DMSO concentration and were in good agreement with experimental data. Simulated freezing protocols correctly predicted and explained experimentally observed effects of cooling rate, warming rate, and storage temperature on hepatocyte function. For cells cooled to -40 degrees C, no IIF occurred for cooling rates less than 10 degrees C/min. IIF did occur at faster cooling rates, and the predicted volume of intracellular ice increased with increasing cooling rate. Cells cooled at 5 degrees C/min to -80 degrees C were shown to undergo nucleation at -46.8 degrees C, with the consequence that storage temperatures above this value resulted in high viability independent of warming rate, whereas colder storage temperatures resulted in cell injury for slow warming rates. Cell damage correlated positively with predicted intracellular ice volume, and an upper limit for the critical ice content was estimated to be 3.7% of the isotonic water content. The power of the model was limited by difficulties in estimating the cytosol viscosity and membrane permeability as functions of DMSO concentration at low temperatures.     

The temperature of intracellular ice formation in mouse oocytes vs. the unfrozen fraction at that temperature

We have previously reported [Cryobiology 51 (2005) 29-53] that intracellular ice formation (IIF) in mouse oocytes suspended in various concentrations of glycerol and ethylene glycol (EG) occurs at temperatures where the percentage of unfrozen water is about 6% and 12%, respectively, even though the IIF temperatures varied from -14 to -41 degrees C. However, because of the way the solutions were prepared, the concentrations of salt and glycerol or EG in that unfrozen fraction at IIF were also rather tightly grouped. The experiments reported in the present paper were designed to separate the effects of the unfrozen fraction at IIF from that of the solute concentration in the unfrozen fraction. This separation makes use of two facts. One is that the concentration of solutes in the residual liquid at a given subzero temperature is fixed regardless of their concentration in the initial unfrozen solution. However, second, the fraction unfrozen at a given temperature is dependent on the initial solute concentration. Experimentally, oocytes were suspended in solutions of glycerol/buffered saline and EG/buffered saline of varying total solute concentration with the restriction that the mass ratios of glycerol and EG to salts are held constant. The oocytes were then cooled rapidly enough (20 degrees C/min) to avoid significant osmotic shrinkage, and the temperature at which IIF occurred was noted. When this is done, we find, as previously that the fraction of water remaining unfrozen at the temperature of IIF remains nearly constant at 5-8% for both glycerol and EG even though the IIF temperatures vary from -14 to -50 degrees C. But unlike the previous results, the salt and CPA concentrations in the unfrozen fraction vary by a factor of three. The present procedure for preparing the solutions produces a potentially complicating factor; namely, the cell volumes vary substantially prior to freezing: substantially greater than isotonic in some solutions; substantially smaller in others. However, the data in toto demonstrate that cell volume is not a determining factor in the IIF temperature.     

Is intracellular ice formation the cause of death of mouse sperm frozen at high cooling rates?

Mouse spermatozoa in 18% raffinose and 3.8% Oxyrase in 0.25 x PBS exhibit high motilities when frozen to -70 degrees C at 20-130 degrees C/min and then rapidly warmed. However, survival is <10% when they are frozen at 260 or 530 degrees C/min, presumably because, at those high rates, intracellular water cannot leave rapidly enough to prevent extensive supercooling and this supercooling leads to nucleation and freezing in situ (intracellular ice formation [IIF]). The probability of IIF as a function of cooling rate can be computed by coupled differential equations that describe the extent of the loss of cell water during freezing and from knowledge of the temperature at which the supercooled protoplasm of the cell can nucleate. Calculation of the kinetics of dehydration requires values for the hydraulic conductivity (Lp) of the cell and for its activation energy (Ea). Using literature values for these parameters in mouse sperm, we calculated curves of water volume versus temperature for four cooling rates between 250 and 2000 degrees C/min. The intracellular nucleation temperature was inferred to be -20 degrees C or above based on the greatly reduced motilities of sperm that underwent rapid cooling to a minimum temperature of between -20 and -70 degrees C. Combining that information regarding nucleation temperature with the computed dehydration curves leads to the conclusion that intracellular freezing should occur only in cells that are cooled at 2000 degrees C/min and not in cells that are cooled at 250-1000 degrees C/min. The calculated rate of 2000 degrees C/min for IIF is approximately eightfold higher than the experimentally inferred value of 260 degrees C/min. Possible reasons for the discrepancy are discussed.     

Performance of a kinetic model for intracellular ice formation based on the extent of supercooling.

Cryomicroscopy was used to study the incidence of intracellular ice formation (IIF) in protoplasts isolated from rye (Secale cereale) leaves during subfreezing isothermal periods and in in vitro mature bovine oocytes during cooling at constant rates. IIF in protoplasts occurred at random times during isothermal periods, and the kinetics of IIF were faster as isothermal temperature decreased. Mean IIF times decreased from approximately 1700 s at -4.0 degrees C to less than 1 s at -18.5 degrees C. Total incidence of IIF after 200 s increased from 4% at -4.0 degrees C to near 100% at -15.5 degrees C. IIF behavior in protoplasts was qualitatively similar to that for Drosophila melanogaster embryos over the same temperature ranges (Myers et al., Cryobiology 26, 472-484, 1989), but the kinetics of IIF were about five times faster in protoplasts. IIF observations in linear cooling of bovine oocytes indicated a median IIF temperature of -11 degrees C at 16 degrees C/min and total incidences of 97%, 50%, and 19% at 16, 8, and 4 degrees C/min, respectively. A stochastic model of IIF was developed which preserved certain features of an earlier model (Pitt et al. Cryobiology 28, 72-86, 1991), namely Weibull behavior in IIF temperatures during rapid linear cooling, but with a departure from the concept of a supercooling tolerance. Instead, the new model uses the osmotic state of the cell, represented by the extent of supercooling, as the independent variable governing the kinetics of IIF. Two kinetic parameters are needed for the model: a scale factor tau 0 dictating the sensitivity to supercooling, and an exponent rho dictating the strength of time dependency. The model was fit to the data presented in this study as well as those from Myers et al. and Pitt et al. for D. melanogaster embryos with and without cryoprotectant, and from Toner et al. (Cryobiology 28, 55-71, 1991) for mouse oocytes. In protoplasts, D. melanogaster embryos, and mouse oocytes, the parameters were estimated from IIF times in the early stages of isothermal periods, while the osmotic state of the cell was relatively constant. In bovine oocytes, the parameters were estimated from linear cooling data. Without further calibration, the model was used to predict total IIF incidence under different cooling regimes. For protoplasts, D. melanogaster embryos, and bovine oocytes, the model's predictions were quite accurate compared to the actual data. In mouse oocytes, adjustment of the hydraulic permeability coefficient (Lp) at 0 degree C was required to yield realistic behavior.(ABSTRACT TRUNCATED AT 400 WORDS)     

Analysis of intracellular ice nucleation in Xenopus oocytes by differential scanning calorimetry

Intracellular ice formation (IIF) plays a central role in cell damage during cryopreservation. We are investigating the factors which trigger IIF in Xenopus oocytes, with and without aquaporin water channels. Here, we report differential scanning calorimeter studies of Xenopus control oocytes which do not express aquaporins. Stage I to VI oocytes (which increase progressively in size) were investigated with emphasis on stage I and II because they are translucent and can also be studied under the cryomicroscope. Measurements were made in 1, 1.5, and 2M ethylene glycol (EG) in frog Ringers plus SnoMax. A multistep freezing protocol was used in which the samples were cooled until extracellular ice formation (EIF) occurred, partially remelted, slowly recooled through the EIF temperature, and then rapidly (10 degrees C/min) cooled. EIF in the 1, 1.5, and 2M EG occurred at -6.4, -7.8, and -8.9 degrees C, respectively. Freezing exotherms of individual stage I-VI oocytes were readily visible. A general trend was observed in which the IIF temperature of the early stage oocytes (I-III) was well below T(EIF) while the later stages (IV-VI) froze at temperatures much closer to T(EIF). Thus, in 1.5M EG, T(IIF) was -21.1, -25, and -26.6 degrees C in stages I-III, but was -17 and -8.5 degrees C for stage IV and V-VI. Concurrently, the percentage of oocytes in which IIF was observed fell dramatically from a high of 40 to 72% in early stages (I-III) to a low of only 7% in stage V-VI because, particularly in the later stages, IIF was hidden in the EIF exotherm. We conclude that early stage oocytes are a good model system in which to investigate modulators of IIF, but that late stage oocytes are damaged during EIF and infrequently supercool.     

Characterization of intracellular ice formation in Drosophila melanogaster embryos

Cryomicroscopy and differential scanning calorimetry (DSC) were used to characterize the incidence of intracellular ice formation (IIF) in 12- to 13-hr-old embryos of Drosophila melanogaster (Oregon-R strain P2) as influenced by the state of the eggcase (untreated, dechorionated, or permeabilized), the composition of the suspending medium (with and without cryoprotectants), and the cooling rate. Untreated eggs underwent IIF over a very narrow temperature range when cooled at 4 or 16 degrees C/min with a median temperature of intracellular ice formation (TIIF50) of -28 degrees C. The freezable water volume of untreated eggs was approximately 5.4 nl as determined by DSC. IIF in dechorionated eggs occurred over a much broader temperature range (-13 to -31 degrees C), but the incidence of IIF increased sharply below -24 degrees C, and the cumulative incidence of IIF at -24 degrees C decreased with cooling rate. In permeabilized eggs without cryoprotectants (CPAs), IIF occurred at much warmer temperatures and over a much wider temperature range than in untreated eggs, and the TIIF50 was cooling rate dependent. At low cooling rates (1 to 2 degrees C/min), TIIF50 increased with cooling rate; at intermediate cooling rates (2 to 16 degrees C/min), TIIF50 decreased with cooling rate. The total incidence of IIF in permeabilized eggs was 54% at 1 degree C/min, and volumetric contraction almost always occurred during cooling. Decreasing the cooling rate to 0.5 degree C/min reduced the incidence of IIF to 43%. At a cooling rate of 4 degrees C/min, ethylene glycol reduced the TIIF50 by about 12 degrees C for each unit increase in molarity of CPA (up to 2.0 M) in the suspending medium. The TIIF50 was cooling rate dependent when embryos were preequilibrated with 1.0 M propylene glycol or ethylene glycol, but was not so in 1.0 M DMSO. For embryos equilibrated in 1.5 M ethylene glycol and then held at -5 degrees C for 1 min before further cooling at 1 degree C/min, the incidence of IIF was decreased to 31%. Increasing the duration of the isothermal hold to 10 min reduced the incidence of IIF to 22% and reduced the volume of freezable water in embryos when intracellular ice formation occurred. If the isothermal hold temperature was -7.5 or -10 degrees C, a 10- to 30-min holding time was required to achieve a comparable reduction in the incidence of IIF.     

Extra- and intra-cellular ice formation in Stage I and II Xenopus laevis oocytes

We are currently investigating factors that influence intracellular ice formation (IIF) in mouse oocytes and oocytes of the frog Xenopus. A major reason for choosing these two species is that while their eggs normally do not possess aquaporin channels in their plasma membranes, these channels can be made to express. We wish to see whether IIF is affected by the presence of these channels. The present Xenopus study deals with control eggs not expressing aquaporins. The main factor studied has been the effect of a cryoprotective agent [ethylene glycol (EG) or glycerol] and its concentration. The general procedure was to (a) cool the oocytes on a cryostage to slightly below the temperatures at which extracellular ice formation occurs, (b) warm them to just below the melting point, and (c) then re-cool them to -50 degrees C at 10 degrees C/min. In the majority of cases, IIF occurs well into step (c), but a sizeable minority undergo IIF in steps (a) or (b). The former group we refer to as low-temperature flashers; the latter as high-temperature flashers. IIF is manifested as abrupt blackening of the egg, which we refer to as "flashing." Observations on the Linkam cryostage are restricted to Stage I and II oocytes, which have diameters of 200 300 microm. In the absence of a cryoprotective agent, that is in frog Ringers, the mean flash temperature for the low-temperature freezers is -11.4 degrees C, although a sizeable percentage flash at temperatures much closer to that of the EIF (-3.9 degrees C). When EG is present, the flash temperature for the low-temperatures freezers drops significantly to approximately -20 degrees C for EG concentrations ranging from 0.5 to 1.5 M. The presence of 1.5 M glycerol also substantially reduces the IIF temperature of the low-temperature freezers; namely, to -29 degrees C, but 0.5 and 1 M glycerol exert little or no effect. The IIF temperatures observed using the Linkam cryostage agree well with those estimated by calorimetry [F.W. Kleinhans, J.F. Guenther, D.M. Roberts, P. Mazur, Analysis of intracellular ice nucleation in Xenopus oocytes by differential scanning calorimetry, Cryobiology 52 (2006) 128-138]. The IIF temperatures in Xenopus are substantially higher than those observed in mouse oocytes [P. Mazur, S. Seki, I.L. Pinn, F.W. Kleinhans, K. Edashige, Extra- and intracellular ice formation in mouse oocytes, Cryobiology 51 (2005) 29-53]. Perhaps that is a reflection of their much larger size.     

Intracellular ice formation in mouse oocytes subjected to interrupted rapid cooling

The formation of ice crystals within cells (IIF) is lethal. The classical approach to avoiding it is to cool cells slowly enough so that nearly all their supercooled freezable water leaves the cell osmotically before they have cooled to a temperature that permits IIF. An alternative approach is to cool the cell rapidly to just above its ice nucleation temperature, and hold it there long enough to permit dehydration. Then, the cell is cooled rapidly to -70 degrees C or below. This approach, often called interrupted rapid cooling, is the subject of this paper. Mouse oocytes were suspended in 1.5M ethylene glycol (EG)/PBS, rapidly cooled (50 degrees C/min) to -25 degrees C and held for 5, 10, 20, 30, or 40 min before being rapidly cooled (50 degrees C/min) to -70 degrees C. In cells held for 5 min, IIF (flashing) occurred abruptly during the second rapid cool. As the holding period was increased to 10 and 20 min, fewer cells flashed during the cooling and more turned black during warming. Finally, when the oocytes were held 30 or 40 min, relatively few flashed during either cooling or warming. Immediately upon thawing, these oocytes were highly shrunken and crenated. However, upon warming to 20 degrees C, they regained most of their normal volume, shape, and appearance. These oocytes have intact cell membranes, and we refer to them as survivors. We conclude that 30 min at -25 degrees C removes nearly all intracellular freezable water, the consequence of which is that IIF occurs neither during the subsequent rapid cooling to -70 degrees C nor during warming.     

Cryomicroscopic observations of cattle embryos during freezing and thawing

A cryomicroscope was used to observe changes in the appearance of day 6 1 2 to 7 1 2 cattle embryos during cooling and warming in 1.4M glycerol/PBS. Embryos were cooled at various rates between 0.2 and 25 degrees C/min to temperatures between -25 and -60 degrees C and then cooled rapidly ( approximately 250 degrees C/min) to temperatures below -140 degrees C. The volume of the embryos calculated from the cross-sectional area during slow cooling decreased at -25 degrees C to about 50% of the isotonic volume. Fracture planes could be observed in the extracellular ice matrix surrounding the embryos after rapid cooling to approximately -140 degrees C. The fracture planes often touched the zona pellucida and sometimes caused cracks in the zona. Cracks in the zona pellucida were observed more often after rapid cooling from temperatures between -20 to -35 degrees C (9 13 ) than from temperatures between -36 to -60 degrees C (2 7 ). When embryos were warmed rapidly ( approximately 250 degrees C/min) from temperatures below -140 degrees C, no change was observed in the appearance of either the embryo or its surroundings except the melting of the extracellular ice. However, when embryos were warmed slowly (2 or 5 degrees C/min), a series of events was observed; first, at approximately -70 degrees C the cytoplasm and the extracellular space gradually darkened and reached maximum darkness at approximately -55 degrees C. Then, on continued slow warming, the dark material gradually disappeared and finally the large extracellular ice crystals melted.     

Protective effect of intracellular ice during freezing?

Injury results during freezing when cells are exposed to increasing concentrations of solutes or by the formation of intracellular ice. Methods to protect cells from the damaging effects of freezing have focused on the addition of cryoprotective chemicals and the determination of optimal cooling rates. Based on other studies of innocuous intracellular ice formation, this study investigates the potential for this ice to protect cells from injury during subsequent slow cooling. V-79W Chinese hamster fibroblasts and Madin-Darby Canine Kidney (MDCK) cells were cultured as single attached cells or confluent monolayers. The incidence of intracellular ice formation (IIF) in the cultures at the start of cooling was pre-determined using one of two different extracellular ice nucleation temperatures (-5 or -10 degrees C). Samples were then cooled at 1 degrees C/min to the experimental temperature (-5 to -40 degrees C) where samples were warmed rapidly and cell survival assessed using membrane integrity and metabolic activity. For single attached cells, the lower ice nucleation temperature, corresponding to increased incidence of IIF, resulted in decreased post-thaw cell recovery. In contrast, confluent monolayers in which IIF has been shown to be innocuous, show higher survival after cooling to temperatures as low as -40 degrees C, supporting the concept that intracellular ice confers cryoprotection by preventing cell dehydration during subsequent slow cooling.     

Nonequilibrium freezing of one-cell mouse embryos. Membrane integrity and developmental potential.

A thermodynamic model was used to evaluate and optimize a rapid three-step nonequilibrium freezing protocol for one-cell mouse embryos in the absence of cryoprotectants (CPAs) that avoided lethal intracellular ice formation (IIF). Biophysical parameters of one-cell mouse embryos were determined at subzero temperatures using cryomicroscopic investigations (i.e., the water permeability of the plasma membrane, its temperature dependence, and the parameters for heterogeneous IIF). The parameters were then incorporated into the thermodynamic model, which predicted the likelihood of IIF. Model predictions showed that IIF could be prevented at a cooling rate of 120 degrees C/min when a 5-min holding period was inserted at -10 degrees C to assure cellular dehydration. This predicted freezing protocol, which avoided IIF in the absence of CPAs, was two orders of magnitude faster than conventional embryo cryopreservation cooling rates of between 0.5 and 1 degree C/min. At slow cooling rates, embryos predominantly follow the equilibrium phase diagram and do not undergo IIF, but mechanisms other than IIF (e.g., high electrolyte concentrations, mechanical effects, and others) cause cellular damage. We tested the predictions of our thermodynamic model using a programmable freezer and confirmed the theoretical predictions. The membrane integrity of one-cell mouse embryos, as assessed by fluorescein diacetate retention, was approximately 80% after freezing down to -45 degrees C by the rapid nonequilibrium protocol derived from our model. The fact that embryos could be rapidly frozen in the absence of CPAs without damage to the plasma membrane as assessed by fluorescein diacetate retention is a new and exciting finding. Further refinements of this protocol is necessary to retain the developmental competence of the embryos.     

Relationship between intracellular ice formation in oocytes of the mouse and Xenopus and the physical state of the external medium--a revisit

We have previously reported that intracellular ice formation (IIF) in mouse oocytes suspended in glycerol/PBS solutions or ethylene glycol (EG)/PBS solutions and rapidly cooled to −50 °C or below occurs at temperatures where a critical fraction of the external water remains unfrozen [P. Mazur, S. Seki, I.L. Pinn, F.W. Kleinhans, K. Edashige, Extra- and intracellular ice formation in mouse oocytes, Cryobiology 51 (2005) 29-53; P. Mazur, I.L. Pinn, F.W. Kleinhans, The temperature of intracellular ice formation in mouse oocytes vs. the unfrozen fraction at that temperature, Cryobiology 54 (2007) 223-233]. For mouse oocytes in PBS or glycerol/PBS that fraction is 0.06; for oocytes in EG that fraction was calculated to be 0.13, more than double. The fractions unfrozen are computed from ternary phase diagrams. In the previous publication, we used the EG data of Woods et al. [E.J. Woods, M.A.J. Zieger, D.Y. Gao, J.K. Critser, Equations for obtaining melting points for the ternary system ethylene glycol/sodium chloride/Water and their application to cryopreservation., Cryobiology 38 (1999) 403-407]. Since then, we have determined that ternary phase diagrams for EG/NaCl/water synthesized by summing binary phase data for EG/water NaCl/water gives substantially different curves, which seem more realistic [F.W. Kleinhans, P. Mazur, Comparison of actual vs. synthesized ternary phase diagrams for solutes of cryobiological interest, Cryobiology 54 (2007) 212-222]. Unfrozen fractions at the temperatures of IIF computed from these synthesized phase diagrams are about half of those calculated from the Woods et al. data, and are in close agreement with the computations for glycerol; i.e., IIF occurs when about 92-94% of the external water is frozen. A parallel paper was published by Guenther et al. [J.F. Guenther, S. Seki, F.W. Kleinhans, K. Edashige, D.M. Roberts, P. Mazur, Extra-and intra-cellular ice formation in Stage I and II Xenopus laevis oocytes, Cryobiology 52 (2006) 401-416] on IIF in oocytes of the frog Xenopus. It too examined whether the temperatures of IIF were related to the unfrozen fractions at those temperatures. It also used the Woods et al. ternary phase data to calculate the unfrozen fractions for EG solutions. As reported here, once again the values of these unfrozen fractions are substantially different from those calculated using synthesized phase diagrams. With the latter, the unfrozen fractions at IIF become very similar for EG and glycerol.     

Subfreezing volumetric behavior and stochastic modeling of intracellular ice formation in Drosophila melanogaster embryos

Cryomicroscopic observations were made of the volumetric behavior and kinetics of intracellular ice formation (IIF) in Drosophila melanogaster embryos in a modified cell culture medium (BD.20) or BD.20 + 2 M ethylene glycol. After rapid cooling to a given temperature, transient volumetric contraction of the embryos during the isothermal period was quantified by computerized video image analysis. Fitting these data to the numerical solution of the volume flux equation yielded estimates of the hydraulic permeability coefficient (Lp) for individual embryos at various subfreezing temperatures. Lp approximately followed an Arrhenius relation between -2 and -9 degrees C, with a value of 0.168 microns/(min-atm) extrapolated to 0 degrees C and an apparent activation energy delta E of 38.9 kcal/mol. IIF during an isothermal period occurred at random times whose characteristic temperature range and kinetics were affected by the presence of ethylene glycol. A stochastic process model developed to fit these data indicated the influence of both time-dependent and instantaneous components of IIF, presumed to be the result of seeding and heterogeneous nucleation, respectively. The presence of 2 M ethylene glycol depressed the characteristic temperature of instantaneous IIF by about 12 degrees C and reduced the rate constant for time-dependent IIF. Comparison with observed incidences of IIF yielded an estimate of the supercooling tolerance of 3 to 5 degrees C.     

Subzero Osmotic Characteristics of Intact and Disaggregated Hepatocyte Spheroids

This study has been conducted to examine basic transport characteristics of pig hepatocytes cultured as spheroids for use in a bioartificial liver. Static osmotic experiments were conducted by subjecting hepatocyte spheroids in solutions of increasing sucrose concentrations. A Boyle-van't Hoff plot was used to extrapolate an osmotically inactive volume, V(b), of 0.60, which is unusually high and might not represent the inactive volume of the individual cells. The spheroids were disaggregated and low-temperature cryomicroscopy experiments performed to examine the transport and intracellular ice formation (IIF) characteristics. A hydraulic permeability, L(pg), of 7.6 x 10(15) m(3)/Ns and an activation energy, E(lp), of 82 kJ/mol was determined for the individual cells. The kinetic (Omega(o)) and thermodynamic (kappa(o)) coefficients for IIF were determined to be 5.9 x 10(8) m(-2) s(-1) and 3.0 x 10(9) K(5), respectively. These results infer a decrease in the temperature range over which IIF is observed compared to freshly isolated pig hepatocytes. The technique of freeze substitution was used to examine the structure inside the spheroid during freezing. At a low cooling rate of 1 degrees C/min, increasing amounts of intercellular ice formed between the cells. At a higher cooling rate of 100 degrees C/min small intracellular ice crystals formed. This study shows the location of ice in a freezing hepatocyte spheroid and confirms that the cells cultured as spheroids do not transport water in the same manner as isolated cells.     

Intercellular ice propagation: experimental evidence for ice growth through membrane pores

Propagation of intracellular ice between cells significantly increases the prevalence of intracellular ice in confluent monolayers and tissues. It has been proposed that gap junctions facilitate ice propagation between cells. This study develops an equation for capillary freezing-point depression to determine the effect of temperature on the equilibrium radius of an ice crystal sufficiently small to grow through gap junctions. Convection cryomicroscopy and video image analysis were used to examine the incidence and pattern of intracellular ice formation (IIF) in the confluent monolayers of cell lines that do (MDCK) and do not (V-79W) form gap junctions. The effect of gap junctions on intracellular ice propagation was strongly temperature-dependent. For cells with gap junctions, IIF occurred in a directed wave-like pattern in 100% of the cells below -3 degrees C. At temperatures above -3 degrees C, there was a marked drop in the incidence of IIF, with isolated individual cells initially freezing randomly throughout the sample. This random pattern of IIF was also observed in the V-79W monolayers and in MDCK monolayers treated to prevent gap junction formation. The significant change in the low temperature behavior of confluent MDCK monolayers at -3 degrees C is likely the result of the inhibition of gap junction-facilitated ice propagation, and supports the theory that gap junctions facilitate ice nucleation between cells.