Comparison of heat transfer in liquid and slush nitrogen by numerical simulation of cooling rates for French straws used for sperm cryopreservation

Slush nitrogen (SN₂) is a mixture of solid nitrogen and liquid nitrogen, with an average temperature of −207 °C. To investigate whether plunging a French plastic straw (commonly used for sperm cryopreservation) in SN₂ substantially increases cooling rates with respect to liquid nitrogen (LN₂), a numerical simulation of the heat conduction equation with convective boundary condition was used to predict cooling rates. Calculations performed using heat transfer coefficients in the range of film boiling confirmed the main benefit of plunging a straw in slush over LN₂ did not arise from their temperature difference (−207 vs. −196 °C), but rather from an increase in the external heat transfer coefficient. Numerical simulations using high heat transfer (h) coefficients (assumed to prevail in SN₂) suggested that plunging in SN₂ would increase cooling rates of French straw. This increase of cooling rates was attributed to a less or null film boiling responsible for low heat transfer coefficients in liquid nitrogen when the straw is placed in the solid-liquid mixture or slush. In addition, predicted cooling rates of French straws in SN₂ tended to level-off for high h values, suggesting heat transfer was dictated by heat conduction within the liquid filled plastic straw.     

Numerical simulation of cooling rates in vitrification systems used for oocyte cryopreservation

Oocyte cryopreservation is of key importance in the preservation and propagation of germplasm. Interest in oocyte cryopreservation has increased in recent years due to the application of assisted reproductive technologies in farm animals such as in vitro fertilization, nuclear transfer and the need for the establishment of ova/gene banks worldwide. However, the cryopreservation of the female gamete has been met with limited success mainly due to its small surface-area:volume ratio.In the past decade, several vitrification devices such as open pulled straws (OPS), fine and ultra fine pipette tips, nylon loops and polyethylene films have been introduced in order to manipulate minimal volumes and achieve high cooling rates. However, experimental comparison of cooling rates presents difficulties mainly because of the reduced size of these systems. To circumvent this limitation, a numerical simulation of cooling rates of various vitrification systems immersed in liquid nitrogen was conducted solving the non-stationary heat transfer partial differential equation using finite element method.Results indicate the nylon loop (Cryoloop®) is the most efficient heat transfer system analyzed, with a predicted cooling rate of 180,000 °C/min for an external heat transfer coefficient h = 1000 W/m² K when cooling from 20 to −130 °C; in contrast, the open pulled straw method (OPS) showed the lowest performance with a cooling rate of 5521 °C/min considering the same value of external heat transfer coefficient. Predicted cooling rates of Miniflex® and Cryotop® (polyethylene film system) were 6164 and 37,500 °C/min, respectively, for the same heat transfer coefficient.     

Effects of cooling and warming rates during vitrification on fertilization of in vitro-matured bovine oocytes

The purpose of this study was to clarify the relationship of cooling rates (CR) and warming rates (WR) during vitrification with postwarming viability of in vitro-matured bovine oocytes. In Experiment 1, oocytes were vitrified in a solution containing 7.2 M ethylene glycol and 1.0 M sucrose by use of open-pulled glass capillaries with five different outer diameters and were warmed by placement of the capillaries into 0.25 M sucrose solution. The capillaries of 2000-, 1400-, 1000-, 630-, and 440-mm diameters provided CR of 2000, 3000, 5000, 8000, and 12,000 degrees C/min and WR of 5000, 8000, 17,000, 33,000, and 62,000 degrees C/min, respectively. In oocytes vitrified in capillaries of 1400-mm diameter (CR, 3000 degrees C/min; WR, 8000 degrees C/min), the morphological survival rate (86% of vitrified), penetration rate (79% of inseminated), and normal fertilization rate (69% of penetrated) were higher or tended to be higher than those in the other vitrification groups. In Experiment 2, oocytes cooled at 2000, 3000, or 12,000 degrees C/min were warmed at 8000 degrees C/min, and oocytes cooled at 3000 degrees C/min were warmed at 5000, 8000, or 33,000 degrees C/min. Among these CR-WR combinations, cooling of oocytes at 3000 degrees C/min regardless of the WR resulted in higher postwarming survival. These results indicate that survival of in vitro-matured bovine oocytes after vitrification and subsequent warming is improved by a slightly rapid cooling rate in open-pulled glass capillaries compared to that obtained in conventional straws.     

Numerical investigations of transient heat transfer characteristics and vitrification tendencies in ultra-fast cell cooling processes

During freezing, cells are often damaged directly or indirectly by ice formation. Vitrification is an alternative approach to cryopreservation that avoids ice formation. The common method to achieve vitrification is to use relatively high concentrations of cryoprotectant agents (CPA) in combination with a relatively slow cooling rate. However, high concentrations of CPAs have potentially damaging toxic and/or osmotic effects on cells. Therefore, establishing methods to achieve vitrification with lower concentrations of CPAs through ultra-fast cooling rates would be advantageous in these aspects. These ultra-fast cooling rates can be realized by a cooling system with an ultra-high heat transfer coefficient (h) between the sample and coolant. The oscillating motion heat pipe (OHP), a novel cooling device utilizing the pressure change to excite the oscillation motion of the liquid plugs and vapor bubbles, can significantly increase h and may fulfill this aim. The current investigation was designed to numerically study the effects of different values of h on the transient heat transfer characteristics and vitrification tendencies of the cell suspension during the cooling processes in an ultra-thin straw (100 microm in diameter). The transient temperature distribution, the cooling rate and the volume ratio (x) of the ice quantity to the maximum crystallizable ice of the suspension were calculated. From these numerical results, it is concluded that the ultra-high h (>10(4) W/m2 K) obtained by OHPs could facilitate vitrification by efficiently decreasing x as well as the time to pass through the dangerous temperature region where the maximum ice formation happens. For comparison, OHPs can decrease both of the parameters to less than 20% of those from the widely used open pulled straw methods. Therefore, the OHP method will be a promising approach to improving vitrification tendencies of CPA solutions and could also decrease the required concentration of CPAs for vitrification, both of which are of great importance for the successful cryopreservation of cells by vitrification.     

Investigations on the heat transport capability of a cryogenic oscillating heat pipe and its application in achieving ultra-fast cooling rates for cell vitrification cryopreservation

Theoretically, direct vitrification of cell suspensions with relatively low concentrations (1 M) of permeating cryoprotective agents (CPA) is suitable for cryopreservation of almost all cell types and can be accomplished by ultra-fast cooling rates that are on the order of 10^6–7 K/min. However, the methods and devices currently available for cell cryopreservation cannot achieve such high cooling rates. In this study, we constructed a novel cryogenic oscillating heat pipe (COHP) using liquid nitrogen as its working fluid and investigated its heat transport capability to assess its application for achieving ultra-fast cooling rates for cell cryopreservation. The experimental results showed that the apparent heat transfer coefficient of the COHP can reach 2 × 10⁵ W/m²·K, which is two orders of the magnitude higher than traditional heat pipes. Theoretical analyzes showed that the average local heat transfer coefficient in the thin film evaporation region of the COHP can reach 1.2 × 10⁶ W/m²·K, which is approximately 10³ times higher than that achievable with standard pool-boiling approaches. Based on these results, a novel device design applying the COHP and microfabrication techniques is proposed and its efficiency for cell vitrification is demonstrated through numerical simulation. The estimated average cooling rates achieved through this approach is 10^6–7 K/min, which is much faster than the currently available methods and sufficient for achieving vitrification with relatively low concentrations of CPA.     

Determination of heat transfer coefficients in plastic French straws plunged in liquid nitrogen

The knowledge of the thermodynamic process during the cooling of reproductive biological systems is important to assess and optimize the cryopreservation procedures. The time–temperature curve of a sample immersed in liquid nitrogen enables the calculation of cooling rates and helps to determine whether it is vitrified or undergoes phase change transition. When dealing with cryogenic liquids, the temperature difference between the solid and the sample is high enough to cause boiling of the liquid, and the sample can undergo different regimes such as film and/or nucleate pool boiling.In the present work, the surface heat transfer coefficients (h) for plastic French straws plunged in liquid nitrogen were determined using the measurement of time–temperature curves. When straws filled with ice were used the cooling curve showed an abrupt slope change which was attributed to the transition of film into nucleate pool boiling regime. The h value that fitted each stage of the cooling process was calculated using a numerical finite element program that solves the heat transfer partial differential equation under transient conditions. In the cooling process corresponding to film boiling regime, the h that best fitted experimental results was h = 148.12 ± 5.4 W/m² K and for nucleate-boiling h = 1355 ± 51 W/m² K. These values were further validated by predicting the time–temperature curve for French straws filled with a biological fluid system (bovine semen-extender) which undergoes freezing. Good agreement was obtained between the experimental and predicted temperature profiles, further confirming the accuracy of the h values previously determined for the ice-filled straw. These coefficients were corroborated using literature correlations.The determination of the boiling regimes that govern the cooling process when plunging straws in liquid nitrogen constitutes an important issue when trying to optimize cryopreservation procedures. Furthermore, this information can lead to improvements in the design of cooling devices in the cryobiology field.     

Effect of vitrification on human oocyte maturation rate during in vitro maturation procedure: A systematic review and meta-analysis

Combination of in vitro maturation (IVM) and cryopreservation offers new opportunities for women with contraindication in ovarian stimulation, and females who desire to postpone the childbearing due to different problems. There are still controversies regarding IVM procedure and its impact on oocytes fertilization capability. This systematic review and meta-analysis were conducted to evaluate the impact of vitrification on human oocyte maturation rate during IVM procedure. In this review, we searched Medline, Embase, Scopus and ISI web of science to identify English-language studies. The last search was implemented on 3 February 2018. The original articles which assessed maturation rate after vitrification of MI or GV oocytes were included. Animal trials and the studies that performed cryopreservation using slow-freeze method were excluded. Bias and quality assessments were performed. 2476 articles were screened primarily. After duplication removing and the application of inclusion and exclusion criteria, 14 studies included for the analysis. All studies compared maturation rate between the oocytes that were vitrified at the GV or MI stage before maturation and oocytes which were matured in vitro without vitrification. Meta-analysis showed that oocyte vitrification at GV stage had a significant negative impact on maturation rate (RR = 0.76, 95% CI: 0.66–0.88); I² = 85.2%; P = 0.000). Finally, based on our results, oocyte vitrification decreases the maturation rate by 24%.     

Effect of variable heat transfer coefficient on tissue temperature next to a large vessel during radiofrequency tumor ablation

Background  

One of the current shortcomings of radiofrequency (RF) tumor ablation is its limited performance in regions close to large blood vessels, resulting in high recurrence rates at these locations. Computer models have been used to determine tissue temperatures during tumor ablation procedures. To simulate large vessels, either constant wall temperature or constant convective heat transfer coefficient (h) have been assumed at the vessel surface to simulate convection. However, the actual distribution of the temperature on the vessel wall is non-uniform and time-varying, and this feature makes the convective coefficient variable.     

Effect of cooling and rewarming rates on glycerolated human erythrocytes.

Human erythrocytes suspended in a sodium-free buffered salt solution containing glycerol in 1 m concentration (1 part of packed cells to 4 parts buffered salt solution) were frozen by slow, moderately rapid, or very rapid cooling to various subzero C temperatures. The frozen specimens, after a 5-min storage period at a given temperature, were thawed at low, moderately high, or very high rates. The hemolysis in the frozen and thawed samples was measured by a colorimetric determination of the hemoglobin released from the damaged cells. At ?10 °C, the highest freezing temperature employed, nearly 100% recovery of intact erythrocytes was obtained irrespective of the cooling and rewarming conditions. The extent of the hemolysis after exposure to lower freezing temperatures depended upon the cooling and rewarming conditions. Moderately rapid and very rapid freezing to, and thawing from temperatures below ?40 °C permitted significantly higher recoveries of intact cells than the other freezing/ thawing combinations. In the temperature range ?15 to ?30 °C the combination slow cooling and slow rewarming afforded maximum protection. Very rapid freezing/ slow thawing was the most damaging combination throughout the entire freezing range. The results were interpreted in part by a conventional two-factor analysis, lower cooling rates allowing concentrated salts to determine hemolysis, higher cooling rates destroying the cells by intracellular freezing. Apparent anomalies were explained in terms of a generalized “thermal/osmotic” shock according to which the erythrocytes were subject to greater hemolysis the higher the rates of cooling and/or warming.     

Bovine oocyte vitrification using the Cryotop method: Effect of cumulus cells and vitrification protocol on survival and subsequent development

The ability to successfully cryopreserve mammalian oocytes has numerous practical, economical and ethical benefits, which may positively impact animal breeding programs and assisted conception in humans. However, oocyte survival and development following vitrification remains poor. The aim of the present study was (1) to evaluate the effect of the presence of cumulus cells on the outcome of vitrification of immature (GV) or mature (MII) bovine oocytes, (2) to compare empirical and theoretical vitrification protocols, and (3) to assess the effect of adding ice blockers to vitrification media on survival and development competence of bovine oocytes following vitrification using the Cryotop method. In Experiment 1, cumulus-enclosed and partially-denuded GV and MII oocytes were vitrified in 15% EG + 15% Me₂SO + 0.5 M sucrose in two steps. In Experiment 2, GV oocytes were vitrified either as above or using theoretical modeling based on permeability and osmotic tolerance characteristics in 30% EG + 11.4% trehalose in three steps or 40% EG + 11.4% trehalose in four steps. In Experiment 3, GV oocytes were vitrified in media supplemented or not with 1 of 2 ice blockers (21st Century Medicine, Fontana, CA) 1% X-1000, 1% Z-1000 or both in three steps. In Experiment 1, the survival, cleavage and blastocyst rate of cumulus-enclosed oocytes was significantly higher than those of partially-denuded oocytes when vitrified at the GV stage (93.8% vs. 81.3%, 65.8% vs. 47.3%, 11.3% vs. 4.0%, respectively, P < 0.05). However, no significant effect of cumulus cover was detected between the two groups when vitrified at MII (93.0% vs. 91.8%, 35.2% vs. 36.8%, 5.0% vs. 4.4%, respectively). Furthermore, cumulus-enclosed oocytes vitrified at the GV stage exhibited significantly higher developmental competence than those vitrified at the MII stage (P < 0.05). In Experiment 2, there were no significant differences in the survival, cleavage and blastocyst rate among three protocols (86.0% vs. 92.8% vs. 91.2%, 44.8% vs. 54.4% vs. 45.6%, 5.0% vs. 5.4% vs. 4.0%, respectively). However, cleavage and blastocyst rate were significantly lower (P < 0.05) than non-vitrified control oocytes. In Experiment 3, the presence of ice blockers did not alter the cleavage rate or blastocyst development (P > 0.05). In conclusion, cumulus-enclosed GV bovine oocytes survived vitrification and subsequently developed at higher rates than MII oocytes using Cryotop method and conventional IVF procedure. Theoretical analysis of permeability characteristics and tolerance limits could not explain the low developmental competence of vitrified oocytes.     

Effect of cooling and warming rates during cryopreservation on survival of in vitro-produced bovine embryos

The effect of cooling and warming rates during cryopreservation on subsequent embryo survival was studied in 607 bovine morulae and 595 blastocysts produced by in vitro maturation, fertilization and culture (IVM/IVF/IVC). Morulae and blastocysts were prepared by co-culturing presumptive zygotes with bovine oviductal epithelial cells (BOEC) in serum-free TCM199 medium for 6 and 7 d, respectively. The embryos in 1.5 M ethylene glycol in plastic straws were seeded at -7 degrees C, cooled to -35 degrees C at each of 5 rates (0.3 degrees, 0.6 degrees , 0.9 degrees, 1.2 degrees, or 1.5 degrees C/min) and then immediately plunged into liquid nitrogen. The frozen embryos were warmed either rapidly in a 35 degrees C water bath (warming rate > 1,000 degrees C/min) or slowly in 25 degrees to 28 degrees C air (< 250 degrees C/mm). With rapid warming, 42.1% of the morulae that had been cooled at 0.3 degrees C/min developed into hatching blastocysts. The proportions of rapidly wanned morulae that hatched decreased with increasing cooling rates (30.4, 19.0, 15.8 and 8.9% at 0.6 degrees , 0.9 degrees, 1.2 degrees and 1.5 degrees C/min, respectively). With slow warming 25.9% of the morulae that had been cooled at 0.3 degrees C/min developed into hatching blastocysts, while <10% of the morulae that had been cooled faster developed. The hatching rate of blastocysts cooled at 0.3 degrees C/min and warmed rapidly (96.3%) was higher than those cooled at 06 degrees and 0.9 degrees C/min (82.7 and 84.6%, respectively), and was also significantly higher than those warmed slowly after cooling at 0.3 degrees, 0.6 degrees or 0.9 degrees C/min (69.1, 56.6 and 51.8%, respectively). Cooling blastocysts at 1.2 degrees or 1.5 degrees C/min resulted in lowered hatching rates either with rapid (71.2 or 66 0%) or slow warming (38.2 or 38.9%). These results indicate that the survival of in vitro-produced bovine morulae and blastocysts is improved by very slow cooling during 2-step freezing, nevertheless, slow warming appears to cause injuries to morulae and blastocysts even after very slow cooling.     

Effect of vitrification on meiotic maturation and expression of genes in immature goat cumulus oocyte complexes

The aim of the study was to evaluate meiotic maturation, and expression of genes coding for oocyte secreted factors (GDF9, BMP15, TGFBR1, and BPR2) and apoptosis (BCL2, BAX and P53) after vitrification of immature goat cumulus oocyte complexes (COCs) and in vitro maturation. COCs were vitrified in a solution containing ethylene glycol, dimethyl sulfoxide and sucrose using either a conventional straw (CS), open pulled straw (OPS), cryoloop (CL), hemistraw (HS) or cryotop (CT). Freshly collected COCs (Control), COCs exposed to vitrification and dilution solutions without cryopreservation (EC) and vitrified-warmed COCs were matured in vitro for 27h. The viability of vitrified-warmed COCs 2 h post warming and in vitro maturation was similar for CL, HS and CT. The proportion of oocytes that extruded a 1st polar body and reached TI/MII was significantly higher with CT and HS followed by CL, OPS and CS. Gene expression of GDF9, BMP15, BMPR2, BAX and P53 were comparable to control levels for OPS, CL, HS and CT. The gene expression pattern in CS vitrified COCs was by contrast changed in that GDF9, BMP15, TGFBR1 and BAX were up regulated and BMPR2, BCL2 and P53 down regulated. In conclusion immature goat COCs vitrified using CT and HS showed that viability, maturation rates and expression of genes coding for oocyte secreted factors and apoptosis were similar to non-vitrified controls.     

Effect of oocyte vitrification on DNA damage in metaphase II oocytes and the resulting preimplantation embryos

As an assisted reproduction technology, vitrification has been widely used for oocyte and embryo cryopreservation. Many studies have indicated that vitrification affects ultrastructure, gene expression, and epigenetic status. However, it is still controversial whether oocyte vitrification could induce DNA damage in metaphase II (MII) oocytes and the resulting early embryos. This study determined whether mouse oocytes vitrification induce DNA damage in MII oocytes and the resulting preimplantation embryos, and causes for vitrification‐induced DNA damage. The effects of oocyte vitrification on reactive oxygen species (ROS) levels, γ‐H2AX accumulation, apoptosis, early embryonic development, and the expression of DNA damage‐related genes in early embryos derived by in vitro fertilization were examined. The results indicated that vitrification significantly increased the number of γ‐H2AX foci in zygotes and two‐cell embryos. Trp53bp1 was upregulated in zygotes, two‐cell embryos and four‐cell embryos in the vitrified group, and Brca1 was increased in two‐cell embryos after vitrification. Vitrification also increased the ROS levels in MII oocytes, zygotes, and two‐cell embryos and the apoptotic rate in blastocysts. Resveratrol (3,5,4′‐trihydroxystilbene) treatment decreased the ROS levels and the accumulation of γ‐H2AX foci in zygotes and two‐cell embryos and the apoptotic rate in blastocysts after vitrification. Overall, vitrification‐induced abnormal ROS generation, γ‐H2AX accumulation, an increase in the apoptotic rate and the disruption of early embryonic development. Resveratrol treatment could decrease ROS levels, γ‐H2AX accumulation, and the apoptotic rate and improve early embryonic development. Vitrification‐associated γ‐H2AX accumulation is at least partially due to abnormal ROS generation.     

Effect of vitrification solutions and cooling upon in vitro matured prepubertal ovine oocytes

The vitrification procedure effects on molecular and cytoskeletal components and on developmental ability of in vitro matured prepubertal ovine oocytes were evaluated. MII oocytes were divided into three groups: (1) vitrified in cryoloops (VTR); (2) exposed to vitrification solutions and rehydrated without being plunged into liquid nitrogen (EXP); (3) without further treatment as a control (CTR). Two hours after treatment, membrane integrity, assessed by propidium iodide/Hoechst staining, was lower in VTR and EXP than in CTR (70.6%, 88.5% and 95.2%, respectively). Cleavage rate after fertilization was statistically different among all groups (21.4%, 45.4% and 82.8% for VTR, EXP and CTR groups respectively; P<0.01). Blastocyst rate in VTR (0.0%) and EXP (2.8%) groups was lower (P<0.01) than in CTR (22.8%). Maturation promoting factor activity was lower (P<0.01) in VTR and EXP groups compared with CTR at both 0 h (82.2%, 83.6% and 100%, respectively) and 2 h (60% and 53.9% and 100%, respectively) after warming. Immediately after warming VTR and EXP oocytes showed a lower rate of normal spindle and chromosome configuration compared to CTR (59.1%, 48.0% and 83.3%, respectively; P<0.01). After 2 h of culture in standard conditions the percentage of oocytes with normal spindle and chromosome organization decreased in both VTR and EXP groups compared to CTR (36.4%, 42.8% versus 87.5%, respectively). In conclusion the exposition to the tested cryoprotectant solution and the vitrification in cryoloops modified cytoskeletal components and alter biochemical pathways that compromise the developmental capacity of prepubertal in vitro matured ovine oocytes.     

Effects of cooling rate on seeds exposed to liquid nitrogen temperatures

The effect of cooling rate on seeds was studied by hydrating pea (Pisum sativum), soybean (Glycine max), and sunflower (Helianthus annuus) seeds to different levels and then cooling them to − 190°C at rates ranging from 1°C/minute to 700°C/minute. When seeds were moist enough to have freezable water (> 0.25 gram H₂O/gram dry weight), rapid cooling rates were optimal for maintaining seed vigor. If the seeds were cooled while at intermediate moisture levels (0.12 to 0.20 gram H₂O per gram dry weight), there appeared to be no effect of cooling rate on seedling vigor. When seeds were very dry (< 0.08 gram H₂O per gram dry weight), cooling rate had no effect on pea, but rapid cooling rates had a marked detrimental effect on soybean and sunflower germination. Glass transitions, detected by differential scanning calorimetry, were observed at all moisture contents in sunflower and soybean cotyledons that were cooled rapidly. In pea, glasses were detectable when cotyledons with high moisture levels were cooled rapidly. The nature of the glasses changed with moisture content. It is suggested that, at high moisture contents, glasses were formed in the aqueous phase, as well as the lipid phase if tissues had high oil contents, and this had beneficial effects on the survival of seeds at low temperatures. At low moisture contents, glasses were observed to form in the lipid phase, and this was associated with detrimental effects on seed viability.