Rationally optimized cryopreservation of multiple mouse embryonic stem cell lines: II--Mathematical prediction and experimental validation of optimal cryopreservation protocols.

In Part I, we documented differences in cryopreservation success measured by membrane integrity in four mouse embryonic stem cell (mESC) lines from different genetic backgrounds (BALB/c, CBA, FVB, and 129R1), and we demonstrated a potential biophysical basis for these differences through a comparative study characterizing the membrane permeability characteristics and osmotic tolerance limits of each cell line. Here we use these values to predict optimal cryoprotectants, cooling rates, warming rates, and plunge temperatures. We subsequently verified these predictions experimentally for their effects on post-thaw recovery. From this study, we determined that a cryopreservation protocol utilizing 1M propylene glycol, a cooling rate of 1°C/minute, and plunging into liquid nitrogen at -41°C, combined with subsequent warming in a 22°C water bath with agitation, significantly improved post-thaw recovery for three of the four mESC lines, and did not diminish post-thaw recovery for our single exception. It is proposed that this protocol can be successfully applied to most mESC lines beyond those included within this study once the effect of propylene glycol on mESC gene expression, growth characteristics, and germ-line transmission has been determined. Mouse ESC lines with poor survival using current standard cryopreservation protocols or our proposed protocol can be optimized on a case-by-case basis using the method we have outlined over two papers. For our single exception, the CBA cell line, a cooling rate of 5°C/minute in the presence of 1.0M dimethyl sulfoxide or 1.0M propylene glycol, combined with plunge temperature of -80°C was optimal.

Rationally optimized cryopreservation of multiple mouse embryonic stem cell lines: I--Comparative fundamental cryobiology of multiple mouse embryonic stem cell lines and the implications for embryonic stem cell cryopreservation protocols.

The post-thaw recovery of mouse embryonic stem cells (mESCs) is often assumed to be adequate with current methods. However as this publication will show, this recovery of viable cells actually varies significantly by genetic background. Therefore there is a need to improve the efficiency and reduce the variability of current mESC cryopreservation methods. To address this need, we employed the principles of fundamental cryobiology to improve the cryopreservation protocol of four mESC lines from different genetic backgrounds (BALB/c, CBA, FVB, and 129R1 mESCs) through a comparative study characterizing the membrane permeability characteristics and membrane integrity osmotic tolerance limits of each cell line. In the companion paper, these values were used to predict optimal cryoprotectants, cooling rates, warming rates, and plunge temperatures, and then these predicted optimal protocols were validated against standard freezing protocols.

Analytical optimal controls for the state constrained addition and removal of cryoprotective agents.

Cryobiology is a field with enormous scientific, financial, and even cultural impact. Successful cryopreservation of cells and tissues depends on the equilibration of these materials with high concentrations of permeating chemicals (CPAs) such as glycerol or 1,2 propylene glycol. Because cells and tissues are exposed to highly anisosmotic conditions, the resulting gradients cause large volume fluctuations that have been shown to damage cells and tissues. On the other hand, there is evidence that toxicity to these high levels of chemicals is time dependent, and therefore it is ideal to minimize exposure time as well. Because solute and solvent flux is governed by a system of ordinary differential equations, CPA addition and removal from cells is an ideal context for the application of optimal control theory. Recently, we presented a mathematical synthesis of the optimal controls for the ODE system commonly used in cryobiology in the absence of state constraints and showed that controls defined by this synthesis were optimal. Here we define the appropriate model, analytically extend the previous theory to one encompassing state constraints, and as an example apply this to the critical and clinically important cell type of human oocytes, where current methodologies are either difficult to implement or have very limited success rates. We show that an enormous increase in equilibration efficiency can be achieved under the new protocols when compared to classic protocols, potentially allowing a greatly increased survival rate for human oocytes and pointing to a direction for the cryopreservation of many other cell types.

A general model for the dynamics of cell volume, global stability, and optimal control.

Cell volume and concentration regulation in the presence of changing extracellular environments has been studied for centuries, and recently a general nondimensional model was introduced that encompassed solute and solvent transmembrane flux for a wide variety of solutes and flux mechanisms. Moreover, in many biological applications it is of considerable interest to understand optimal controls for both volume and solute concentrations. Here we examine a natural extension of this general model to an arbitrary number of solutes or solute pathways, show that this system is globally asymptotically stable and controllable, define necessary conditions for time-optimal controls in the arbitrary-solute case, and using a theorem of Boltyanski prove sufficient conditions for these controls in the commonly encountered two-solute case.

Determination of the quaternary phase diagram of the water-ethylene glycol-sucrose-NaCl system and a comparison between two theoretical methods for synthetic phase diagrams.

Characterization of the thermodynamic properties of multi-solute aqueous solutions is of critical importance for biological and biochemical research. For example, the phase diagrams of aqueous systems, containing salts, saccharides, and plasma membrane permeating solutes, are indispensible in the field of cryobiology and pharmacology. However, only a few ternary phase diagrams are currently available for these systems. In this study, an auto-sampler differential scanning calorimeter (DSC) was used to determine the quaternary phase diagram of the water-ethylene glycol-sucrose-NaCl system. To improve the accuracy of melting point measurement, a "mass-redemption" method was also applied for the DSC technique. Base on the analyses of these experimental data, a comparison was made between the two practical approaches to generate phase diagrams of multi-solute solutions from those of single-solute solutions: the summation of cubic polynomial melting point equations versus the use of osmotic virial equations with cross coefficients. The calculated values of the model standard deviations suggested that both methods are satisfactory for characterizing this quaternary system.

Melting point equations for the ternary system water/sodium chloride/ethylene glycol revisited.

Partial phase diagrams are of considerable utility in the development of optimized cryobiological procedures. Recent theoretical predictions of the melting points of ternary solutions of interest to cryobiology have caused us to re-examine measurements that our group made for the ethylene-glycol-sodium chloride-water phase diagram. Here we revisit our previous experiments by measuring melting points at five ethylene-glycol to sodium chloride ratios (R values; R=5, 10, 15, 30, and 45) and five levels of concentration for each ratio. Melting points were averaged from three measurements and plotted as a function of total solute concentration for each R value studied. The new measurements differed from our original experimental values and agreed with predicted values from both theoretical models. Additionally, the data were fit to the polynomial described in our previous report and the resulting equation was obtained: T(m) = (38.3-2.145 x 10⁻¹ R)w + (81.19 - 2.909×10⁻¹ R)w², where w is the total solute mass fraction. This new equation provided good fits to the experimental data as well as published values and relates the determined polynomial constants to the R value of the corresponding isopleths of the three dimensional phase diagram, allowing the liquids curve for any R value to be obtained.

Osmotic characteristics and fertility of murine spermatozoa collected in different solutions.

Osmotic stress is an important factor that can result in cell damage during cryopreservation. Before ejaculation or collection for cryopreservation, murine spermatozoa are stored in epididymal fluid, a physiologically hyperosmotic environment (approximately 415 mmol/kg). The objectives of this study were to determine the osmotic tolerance limits of sperm motion parameters of ICR and C57BL/6 mouse spermatozoa collected in isosmotic (290 mmol/kg) and hyperosmotic (415 mmol/kg) media, and the effect of the osmolality of sperm collection media on sperm fertility after cryopreservation. Our results indicate that murine spermatozoa collected in media with different osmolalities (290 and 415 mmol/kg Dulbecco's phosphate buffered saline (DPBS)) appeared to have different osmotic tolerances for the maintenance of sperm motility and other motion parameters in both mouse strains. The hypo- and hyperosmotic treatments decreased motility and affected other motion parameters of spermatozoa collected in 290 mmol/kg DPBS. The extent of the change of motion parameters after treatments corresponded with the levels of osmotic stress. However, for spermatozoa collected in 415 mmol/kg DPBS, exposure to 290 mmol/kg DPBS tended to increase sperm motility and the quality of their motion parameters. The osmolality of sperm collection medium can affect murine sperm fertility. Spermatozoa collected in 415 mmol/kg medium showed higher fertility compared with spermatozoa collected in 290 mmol/kg as assessed by IVF. Results characterizing murine sperm osmotic tolerance collected in media with different osmolalities from different strains and the effect of collection media osmolality on sperm fertility after cryopreservation will be useful in designing cryopreservation protocols.

Measurement of the size of intracellular ice crystals in mouse oocytes using a melting point depression method and the influence of intracellular solute concentrations.

Characterization of intracellular ice formed during the cooling procedures of cells significantly benefits the development and optimization design of cryopreservation or cryosurgery techniques. In this study, we investigated the influence of the concentration of extracellular non-permeable and permeable solutes on the melting points of the intracellular ice in mouse oocytes using cryomicroscopy. The results showed that the melting points of the intracellular ice are always lower than the extracellular ice. Based on this observation and the Gibbs-Thomson relation, we established a physical model to calculate the size of intracellular ice crystals and described its relationship with the concentrations of intracellular permeating solutes and macromolecules. This model predicts that the increased concentration of macromolecules in cells, by increasing the extracellular non-permeating solute concentration, can significantly lower the required concentration of permeable solutes for intracellular vitrification. The prediction was tested through the cryomicroscopic observation of the co-existence of intracellular vitrification and extracellular crystallization during cooling at 100 degrees C/min when the extracellular solutions contain 5 molal (m) ethylene glycol and 0.3 to 0.6m NaCl.

Measurement of the apparent diffusivity of ethylene glycol in mouse ovaries through rapid MRI and theoretical investigation of cryoprotectant perfusion procedures.

Successful organ cryopreservation will significantly benefit human health and biomedical research. One of the major challenges to this accomplishment is the need for optimization of cryoprotectant agent (CPA) perfusion procedures that involve highly complicated mass transfer processes in organs. The diffusivity of CPA is of critical importance for designing perfusion procedures to minimize the associated toxicity and osmotic damage. However, to date there have been no attempts to measure the CPA diffusivity in organs. In this study, we established a simple CPA diffusion model for relatively small organs, e.g., mouse ovaries, defined the apparent diffusivity (D ) of CPA for these organs, and established a practical approach to measure the value of D through magnetic resonant imaging (MRI). Using rapid MRI techniques and water saturation analyses, the distribution of ethylene glycol (EG) concentration in the centric cross-section of mouse ovaries was measured at a series of time points during perfusion, and these data were fit to the integral form of the mass transfer equation in the established model. These fits resulted in a value of D for EG in mouse ovaries of 6.1+/-1.4 x 10(-7)cm2/s (mean+/-SD). Based on these results, we proposed a modified perfusion procedure that may improve the survival of small organs or thin tissues during equilibrium cooling processes and assessed its efficiency through theoretical analyses.

Osmotic tolerance limits and membrane permeability characteristics of stallion spermatozoa treated with cholesterol.

Stallion spermatozoa exhibit osmotic damage during the cryopreservation process. Recent studies have shown that the addition of cholesterol to spermatozoal membranes increases the cryosurvival of bull, ram and stallion spermatozoa, but the exact mechanism by which added cholesterol improves cryosurvival is not understood. The objectives of this study were to determine if adding cholesterol to stallion sperm membranes alters the osmotic tolerance limits and membrane permeability characteristics of the spermatozoa. In experiment one, stallion spermatozoa were treated with cholesterol-loaded cyclodextrin (CLC), subjected to anisotonic solutions and spermatozoal motility analyzed. The spermatozoa were then returned to isotonic conditions and the percentages of motile spermatozoa again determined. CLC treatment increased the osmotic tolerance limit of stallion spermatozoa in anisotonic solutions and when returned to isotonic conditions. The second and third experiments utilized an electronic particle counter to determine the plasma membrane characteristics of stallion spermatozoa. In experiment two, stallion spermatozoa were determined to behave as linear osmometers. In experiment three, spermatozoa were treated with CLC, incubated with different cryoprotectants (glycerol, ethylene glycol or dimethyl formamide) and their volume excursions measured during cryoprotectant removal at 5 degrees and 22 degrees C. Stallion spermatozoa were less permeable to the cryoprotectants at 5 degrees C than 22 degrees C. Glycerol was the least permeable cryoprotectant in control cells. The addition of CLC's to spermatozoa increased the permeability of stallion spermatozoa to the cryoprotectants. Therefore, adding cholesterol to spermatozoal membranes reduces the amount of osmotic stress endured by stallion spermatozoa during cryopreservation.

Towards cryopreservation of Greenshell mussel (Perna canaliculus) oocytes.

Cryopreservation is a powerful tool for selective breeding in aquaculture as it enables genetic material from selected stock to be stored and crossed at will. The aim of this study was to develop a method for cryopreserving oocytes of the Greenshelltrade mark mussel (Perna canaliculus), New Zealand's main aquaculture species. The ability of oocytes to be fertilized post-thawing was used as the criterion for success in initial experiments and then subsequently, the ability of frozen oocytes to develop further to D-stage larvae was assessed. Ethylene glycol, propylene glycol, dimethyl sulphoxide and glycerol were evaluated at a range of concentrations with and without the addition of 0.2M trehalose using post-thaw fertilization as the endpoint. Ethylene glycol was most effective, particularly when used in combination with trehalose. A more detailed investigation revealed that ethylene glycol at 9% or 10% in the presence of 0.2-0.4M trehalose afforded the best protection. In experiments varying sperm to egg ratio and egg density in post-thaw fertilization procedures, D-larval yield averaged less than 1%. Following these results, a detailed experiment was conducted to determine the damaging steps in the cryopreservation process. Fertilization losses occurred at each step whereas D-larval yield approximately halved following CPA addition and was almost zero following cooling to -10 degrees C. Cryomicroscopy studies and fertilization results suggest that the inability of oocytes to develop to D-larvae stage after cooling to -10 degrees C and beyond are most likely related to some form of chilling injury rather than extracellular ice triggering intracellular ice formation. Further research is needed to determine the causes of this injury and to reduce CPA toxicity and/or osmotic effects.

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 ( approximately 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 x 10(5) W/m(2).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 x 10(6) W/m(2).K, which is approximately 10(3) 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.

An improved cryopreservation method for a mouse embryonic stem cell line.

Embryonic stem (ES) cell lines including the C57BL/6 genetic background are central to projects such as the Knock-Out Mouse Project, North American Conditional Mouse Mutagenesis Program, and European Conditional Mouse Mutagenesis Program, which seek to create thousands of mutant mouse strains using ES cells for the production of human disease models in biomedical research. Crucial to the success of these programs is the ability to efficiently cryopreserve these mutant cell lines for storage and transport. Although the ability to successfully cryopreserve mouse ES cells is often assumed to be adequate, the percent post-thaw recovery of viable cells varies greatly among genetic backgrounds and individual cell lines within a genetic background. Therefore, there is a need to improve the efficiency and reduce the variability of current mouse ES cell cryopreservation methods. To address this need, we employed the principles of fundamental cryobiology to improve the cryopreservation protocol of a C57BL/6 mouse ES cell line by characterizing the membrane permeability characteristics and osmotic tolerance limits. These values were used to predict optimal cooling rates, warming rates, and type of cryoprotectant, which were then verified experimentally. The resulting protocol, generated through this hypothesis-driven approach, resulted in a 2-fold increase in percent post-thaw recovery of membrane-intact ES cells as compared to the standard freezing protocol, as measured by propidium iodide exclusion. Additionally, our fundamental cryobiological approach to improving cryopreservation protocols provides a model system by which additional cryopreservation protocols may be improved in future research for both mouse and human ES cell lines.

Cryopreservation and vitrification: recent advances in fertility preservation technologies.

Over the last half the 20th Century, reproductive medicine has become a critically important branch of modern medical science. Fertility preservation is a vital branch of reproductive medicine and involves the preservation of gametes (sperm and oocytes), embryos, and reproductive tissues (ovarian and testicular tissues) for use in artificial reproduction. This technology gives millions of people suffering from reproductive ailments, cancer patients who have their reproductive functions destroyed by therapy (chemotherapy and radiation) and people undergoing sterilization, a chance to conceive. The most common fertility preservation technique is cryopreservation, which involves freezing cells and tissues at cryogenic temperatures. Cryopreserved cells and tissues can endure storage for centuries with almost no change in functionality or genetic information, making this storage method highly attractive. However, developing efficient cryopreservation techniques is challenging, as both freezing and thawing exposes cells to severe stresses, potentially causing cell death. There are two major techniques for cryopreservation: freeze-thaw processes and vitrification. The major difference between them is the total avoidance of ice formation in vitrification. The use of both theoretical models that describe cell response to freezing and thawing, and experimental investigations of freezing behavior, has led to the development of successful freeze-thaw and vitrification procedures for a number of cell types. Among reproductive cells, there exist efficient cryopreservation techniques for spermatozoa and embryos. Oocytes, however, present significant hurdles in achieving successful cryopreservation, primarily due to their sensitive microtubule structure. Recently, cryopreservation of ovarian and testicular tissues has been investigated with success reported. Ovarian cryopreservation can help circumvent many of the problems associated with oocyte cryopreservation, while testicular tissue preservation may be helpful when insufficient sperm counts are available for routine semen preservation.

Detection of mouse parvovirus in Mus musculus gametes, embryos, and ovarian tissues by polymerase chain reaction assay.

We used primary and nested polymerase chain reaction (PCR) assays to determine the presence of mouse parvovirus (MPV) in mouse sperm, oocytes, preimplantation embryos, and ovarian tissues collected from MPV-infected mice. The primary PCR assay detected MPV in 56% of the sperm samples. MPV was not eliminated by passing sperm samples through a Percoll gradient. After Percoll treatment, MPV was still present in 50% of the samples according to primary PCR assay. Oocyte samples that did not undergo extensive washing procedures had detectable MPV in 7% of the samples based on the primary PCR assay, but nested PCR assay detected higher (28%) infection rate. However, MPV was not detected in oocytes that underwent extensive washing procedures, as assessed by either primary or nested PCR assay. Although primary PCR did not detect MPV in embryos, a nested PCR assay determined that 50% of the embryos were positive for the virus. In addition, ovarian tissues were collected from 3 different mouse colonies with enzootic MPV infection. Ovarian tissue collected from 129CT, 101/R1, and Sencar mice had high incidence (38%, 63%, and 65%, respectively) of MPV infection on the basis of nested PCR amplification. These results demonstrate that mouse gametes, embryos, and ovarian tissues may be contaminated with MPV and therefore caution is necessary when infected germplasm is used for assisted reproductive technologies such as embryo transfer, establishing embryonic stem cell lines, in vitro fertilization, ovary transplantation, and intracytoplasmic sperm injection.

Improved survival of vitrified porcine embryos after partial delipation through chemically stimulated lipolysis and inhibition of apoptosis.

Mechanical removal of intracellular lipids has been the most effective approach to increase the cryosurvival of porcine embryos. In this experiment, we tested the hypotheses that the cryosurvival of porcine embryos can be improved after partial delipation through chemically stimulated lipolysis and that the survival can be further improved by inhibition of apoptosis. Porcine embryos were produced in vitro using sow oocytes. On Day 5 of embryonic development, embryos were cultured in the presence of 10 microM forskolin for 24h. On Day 6 blastocysts were vitrified using an open pulled straw (OPS) method and warmed blastocysts were cultured 18 h for them to recover. A caspase inhibitor, benzyloxycarbonyl-Val-Ala-Asp-fluoromethyl ketone (Z-VAD-FMK) was used at 20 microM during vitrification and subsequent culture to inhibit apoptosis. A 2 x 2 x 2 factorial design experiment was conducted to examine the effect of chemical delipation, vitrification and apoptosis inhibition. We also measured the lipolytic activity of porcine embryos cultured with or without forskolin. Chemical delipation increased the cryosurvival of porcine embryos compared to the controls (71.2+/-2.8% versus 37.1+/-5.1%). Apoptosis inhibition increased the ability of blastocysts to fully recover (23.8+/-3.1% versus 14.6+/-4.3%). However, there was no interaction between chemical delipation and apoptosis inhibition. Lipolytic agent treatment increased the lipolytic activity of porcine blastocysts. In conclusion, cryosurvival of porcine embryos was improved by partial delipation through chemical stimulation of lipolysis or apoptosis inhibition.

Beneficial effects of serum supplementation during in vitro production of porcine embryos on their ability to survive cryopreservation by open pulled straw vitrification.

The ability of porcine blastocysts produced in vitro, in the presence or absence of serum, to survive cryopreservation was investigated in this experiment. Porcine oocytes were matured, fertilized and cultured in vitro using serum-free culture systems. Starting at Day 4 of in vitro embryo culture (Day 0 = fertilization), the culture medium was supplemented with 10% fetal bovine serum (FBS). Embryos were cultured under these conditions until Day 6. Embryos cultured with only BSA supplementation served as serum-free controls. Day 6 blastocysts and expanded blastocysts of excellent quality were vitrified using the open pulled straw method. After warming, blastocysts were cultured in the presence of 10% FBS for an additional 18 h to recover. Portions of blastocysts from both groups, without cryopreservation, were also cultured under the same conditions to serve as non-vitrified controls. To further investigate the influence of FBS on the quality of embryos produced, the total cell numbers in Day 6 blastocysts from both groups were compared. In addition, the ratio of viable to total cells in fully recovered blastocysts at each group was examined. Blastocysts produced in the presence of FBS had an increased ability to survive cryopreservation and also had a higher cell number compared to those produced in serum-free systems (P < 0.05). The fully recovered blastocysts had a normal viable to total cell ratio, compared to non-vitrified controls. Overall, this experiment supports the hypothesis that serum supplementation during in vitro production of porcine embryos is beneficial to the ability of a blastocyst to survive cryopreservation.

Cryopreservation of spermatozoa in assisted reproduction.

Spermatozoa were the first cells to be cryopreserved over 50 years ago, following the serendipitous discovery of the cryoprotective compound glycerol. This pioneering work was followed by the introduction of a series of other cryoprotectant chemicals referred to collectively as cryoprotective agents. Glycerol has been widely used in the cryopreservation of bull and human spermatozoa, although results are still highly variable across species as well as among individuals within a species. Recently, significant information has been gained with regard to the fundamental cryobiology of several mammalian species' spermatozoa that can be used to reduce this variability and develop improved methods for cryopreservation. In this concise review, we will discuss the fundamental cryobiology of cells in general and of mammalian spermatozoa in particular.

Mathematical model formulation and validation of water and solute transport in whole hamster pancreatic islets.

Optimization of cryopreservation protocols for cells and tissues requires accurate models of heat and mass transport. Model selection often depends on the configuration of the tissue. Here, a mathematical and conceptual model of water and solute transport for whole hamster pancreatic islets has been developed and experimentally validated incorporating fundamental biophysical data from previous studies on individual hamster islet cells while retaining whole-islet structural information. It describes coupled transport of water and solutes through the islet by three methods: intracellularly, intercellularly, and in combination. In particular we use domain decomposition techniques to couple a transmembrane flux model with an interstitial mass transfer model. The only significant undetermined variable is the cellular surface area which is in contact with the intercellularly transported solutes, Ais. The model was validated and Ais determined using a 3×3 factorial experimental design blocked for experimental day. Whole islet physical experiments were compared with model predictions at three temperatures, three perfusing solutions, and three islet size groups. A mean of 4.4 islets were compared at each of the 27 experimental conditions and found to correlate with a coefficient of determination of 0.87±0.06 (mean ± SD). Only the treatment variable of perfusing solution was found to be significant (p<0.05). We have devised a model that retains much of the intrinsic geometric configuration of the system, and thus fewer laboratory experiments are needed to determine model parameters and thus to develop new optimized cryopreservation protocols. Additionally, extensions to ovarian follicles and other concentric tissue structures may be made.