A guide to successful mL to L scale vitrification and rewarming

Cryopreservation by vitrification to achieve an "ice free" glassy state is an effective technique for preserving biomaterials including cells, tissues, and potentially even whole organs. The major challenges in cooling to and rewarming from a vitrified state remain ice crystallization and cracking/fracture. Ice crystallization can be inhibited by the use of cryoprotective agents (CPAs), though the inhibition further depends upon the rates achieved during cooling and rewarming. The minimal rate required to prevent any ice crystallization or recrystallization/devitrification in a given CPA is called the critical cooling rate (CCR) or critical warming rate (CWR), respectively. On the other hand, physical cracking is mainly related to thermomechanical stresses, which can be avoided by maintaining temperature differences below a critical threshold. In this simplified analysis, we calculate deltaT as the largest temperature difference occurring in a system during cooling or rewarming in the brittle/glassy phase. This deltaT is then used in a simple "thermal shock equation" to estimate thermal stress within the material to decide if the material is above the yield strength and to evaluate the potential for fracture failure. In this review we aimed to understand the limits of success and failure at different length scales for cryopreservation by vitrification, due to both ice crystallization and cracking. Here we use thermal modeling to help us understand the magnitude and trajectory of these challenges as we scale the biomaterial volume for a given CPA from the milliliter to liter scale. First, we solved the governing heat transfer equations in a cylindrical geometry for three common vitrification cocktails (i.e., VS55, DP6, and M22) to estimate the cooling and warming rates during convective cooling and warming and nanowarming (volumetric heating). Second, we estimated the temperature difference deltaT and compared it to a tolerable threshold (deltaTmax) based on a simplified "thermal shock" equation for the same cooling and rewarming conditions. We found, not surprisingly, that M22 achieves vitrification more easily during convective cooling and rewarming for all volumes compared to VS55 or DP6 due to its considerably lower CCR and CWR. Further, convective rewarming (boundary rewarming) leads to larger temperature differences and smaller rates compared to nanowarming (volumetric rewarming) for all CPAs with increasing failure at larger volumes. We conclude that as more and larger systems are vitrified and rewarmed with standard CPA cocktails, this work can serve as a practical guide to successful implementation based on the characteristic length (volume/surface area) of the system and the specific conditions of cooling and warming. doi.org/10.54680/fr22610110112.

Supplemented phase diagrams for vitrification CPA cocktails: DP6, VS55 and M22

DP6, VS55 and M22 are the most commonly used cryoprotective agent (CPA) cocktails for vitrification experiments in tissues and organs. However, complete phase diagrams for the three CPAs are often unavailable or incomplete (only available for full strength CPAs) thereby hampering optimization of vitrification and rewarming procedures. In this paper, we used differential scanning calorimetry (DSC) to measure the transition temperatures including heterogeneous nucleation temperatures (T_het), glass transition temperatures (T_g), rewarming phase crystallization (devitrification and/or recrystallization) temperatures (T_d) and melting temperatures (T_m) while cooling or warming the CPA sample at 5 °C/min and plotted the obtained transition temperatures for different concentrations of CPAs into the phase diagrams. We also used cryomicroscopy cooling or warming the sample at the same rate to record the ice crystallization during the whole process, and we presented the cryomicroscopic images at the transition temperatures, which agreed with the DSC presented phenomena.

Re-purposing cryoablation: a combinatorial 'therapy' for the destruction of tissue

It is now recognized that the tumor microenvironment creates a protective neo-tissue that isolates the tumor from the various defense strategies of the body. Evidence demonstrates that, with successive therapeutic attempts, cancer cells acquire resistance to individual treatment modalities. For example, exposure to cytotoxic drugs results in the survival of approximately 20-30% of the cancer cells as only dividing cells succumb to each toxic exposure. With follow-up treatments, each additional dose results in tumor-associated fibroblasts secreting surface-protective proteins, which enhance cancer cell resistance. Similar outcomes are reported following radiotherapy. These defensive strategies are indicative of evolved capabilities of cancer to assure successful tumor growth through well-established anti-tumor-protective adaptations. As such, successful cancer management requires the activation of multiple cellular 'kill switches' to prevent initiation of diverse protective adaptations. Thermal therapies are unique treatment modalities typically applied as monotherapies (without repetition) thereby denying cancer cells the opportunity to express defensive mutations. Further, the destructive mechanisms of action involved with cryoablation (CA) include both physical and molecular insults resulting in the disruption of multiple defensive strategies that are not cell cycle dependent and adds a damaging structural (physical) element. This review discusses the application and clinical outcomes of CA with an emphasis on the mechanisms of cell death induced by structural, metabolic, vascular and immune processes. The induction of diverse cell death cascades, resulting in the activation of apoptosis and necrosis, allows CA to be characterized as a combinatorial treatment modality. Our understanding of these mechanisms now supports adjunctive therapies that can augment cell death pathways.

In vitrothermal therapy of AT-1 Dunning prostate tumours

To advance the utility of prostate thermal therapy, this study investigated the thermal thresholds (temperature-time) for prostate tissue destruction in vitro. The AT-1 Dunning prostate tumour model was chosen for the study. Three hundred micron thick sections were subjected to controlled temperature-time heating, which ranged from low (40 degrees C, 15 min) to high thermal exposures (70 degrees C, 2 min) (n = 6). After subsequent tissue culture at 37 degrees C, the sections were evaluated for tissue injury at 3, 24 and 72 h by two independent methods: histology and dye uptake. A graded increase in injury was identified between the low and high thermal exposures. Maximum histologic injury occurred above 70 degrees C, 1 min with >95% of the tissue area undergoing significant cell injury and coagulative necrosis. The control and 40 degrees C, 15 min sections showed histologic evidence of apoptosis following 24 and 72 h in culture. Similar signs of apoptosis were minimal or absent at higher thermal histories. Vital-dye uptake quantitatively confirmed complete cell death after 70 degrees C, 2 min. Using the dye data, Arrhenius analysis showed an apparent breakpoint at 50 degrees C, with activation energies of 135.8 kcal/mole below and 4.7 kcal/mole above the threshold after 3 h in culture. These results can be used as a conservative benchmark for thermal injury in the cancerous prostate. Further characterization of the response to thermal therapy in an animal model and in human tissues will be important in establishing the efficacy of the procedure

In vitroassessment of the efficacy of thermal therapy in human benign prostatic hyperplasia

The successful management of BPH with minimally invasive thermal therapies requires a firm understanding of the temperature-time relationship for tissue destruction. In order to accomplish this objective, the present in vitro study assesses the cellular viability of human BPH tissue subjected to an experimental matrix of different temperature-time combinations. Hyperplastic prostate tissue was obtained from 10 radical prostatectomy specimens resected for adenocarcinoma. A portion of hyperplastic tissue from the lateral lobe of each prostate was sectioned into multiple 1 mm thick tissue strips, placed on a coverslip and thermally treated on a controlled temperature copper block with various temperatures (45-70 degrees C) for various times (1-60 min). After heat treatment, the tissue slices were cultured for 72 h and viability was assessed using two independent assays: histology and dye uptake for stromal tissue and using histology alone for the glandular tissue. The hyperplastic human prostate tissue showed a progressive histological increase in irreversible injury with increasing temperature-time severity. The dye uptake and histology results for stromal viability were similar for all temperature-time combinations. In vitro thermal injury showed 85-90% stromal destruction (raw data) of human BPH for temperature-time combinations of 45 degrees C for 60 min, 50 degrees C for 30 min, 55 degrees C for 5 min, 60 degrees C for 2 min and 70 degrees C for 1 min. Apoptosis was also identified in the control and milder treated tissues with the degree of glandular apoptosis (about 20%) more than that seen in the stromal regions (< 5%). The Arrhenius model of injury was fitted to the data for conditions leading to a 90% drop in viability (normalized to control) obtained for stromal tissue. The activation energies (E) were 40.1 and 38.4 kcal/mole for the dye uptake study and histology, respectively, and the corresponding frequency factors (A) were 1.1 x 10(24) and 7.78 x 10(22)/s. This study presents the first temperature-time versus tissue destruction relation for human BPH tissue. Moreover, it supports the concept that higher temperatures can be used for shorter durations to induce tissue injury comparable with the current clinically recommended lower temperature-longer time treatments (i.e. 45 degrees C for 60 min) for transurethral microwave thermotherapy of the prostate.

Investigation of the thermal and tissue injury behaviour in microwave thermal therapy using a porcine kidney model

Minimally invasive microwave thermal therapies are being developed for the treatment of small renal cell carcinomas (RCC, d<3 cm). This study assessed the thermal history and corresponding tissue injury patterns resulting from microwave treatment of the porcine renal cortex. Three groups of kidneys were evaluated: (1) in vitro treated, (2) in vivo with 2-h post-treatment perfusion (acute) and (3) in vivo with 7-day post-treatment perfusion (chronic). The kidneys were treated with an interstitial water-cooled microwave probe (Urologix, Plymouth, MN) that created a lesion centered in the renal cortex (50 W for 10 min). The thermal histories were recorded at 0.5 cm radial intervals from the probe axis for correlation with the histologic cellular and vascular injury. The kidneys showed a reproducible 2 cm chronic lesion with distinct histologic injury zones identified. The thermal histories at the edge of these zones were found using Lagrangian interpolation. The threshold thermal histories for microvascular injury and stasis appeared to be lower than that for renal epithelial cell injury. The Arrhenius kinetic injury models were fit to the thermal histories and injury data to determine the kinetic parameters (i.e. activation energy and frequency factor) for the thermal injury processes. The resultant activation energies are consistent in magnitude with those for thermally induced protein denaturation. A 3-D finite element thermal model based on the Pennes bioheat equation was developed and solved using ANSYS (V7.0). The real geometry of the kidneys studied and temperature dependent thermal properties were used in this model. The specific absorption rate (SAR) of the microwave probe required for the thermal modelling was experimentally determined. The results from the thermal modelling suggest that the complicated change of local renal blood perfusion with temperature and time during microwave thermal therapy can be predicted, although a first order kinetic model may be insufficient to capture blood flow changes. The local blood perfusion was found to be a complicated function of temperature and time. A non-linear model based on the degree of vascular stasis was introduced to predict the blood perfusion. In conclusion, interstitial microwave thermal therapy in the normal porcine kidney results in predictable thermal and tissue injury behaviour. Future work in human kidney tissue will be necessary to confirm the clinical significance of these results.

Use of a fluorescently labeled poly-caspase inhibitor for in vivo detection of apoptosis related to vascular-targeting agent arsenic trioxide for cancer therapy

Arsenic trioxide (ATO, Trisenox) is a potent anti-vascular agent and significantly enhances hyperthermia and radiation response. To understand the mechanism of the anti-tumor effect in vivo we imaged the binding of a fluorescently-labeled poly-caspase inhibitor (FLIVO) in real time before and 3 h or 24 h after injection of 8 mg/kg ATO. FSaII tumors were grown in dorsal skin-fold window chambers or on the rear limb and we observed substantial poly-caspase binding associated with vascular damage induced by ATO treatment at 3 and 24 h after ATO injection. Flow cytometric analysis of cells dissociated from the imaged tumor confirmed cellular uptake and binding of the FLIVO probe. Apoptosis appears to be a major mode of cell death induced by ATO in the tumor and the use of fluorescently tagged caspase inhibitors to assess cell death in live animals appears feasible to monitor and/or confirm anti-tumor effects of therapy.

Use of X-ray Tomography to Map Crystalline and Amorphous Phases in Frozen Biomaterials

The outcome of both cryopreservation and cryosurgical freezing applications is influenced by the concentration and type of the cryoprotective agent (CPA) or the cryodestructive agent (i.e., the chemical adjuvants referred to here as CDA) added prior to freezing. It also depends on the amount and type of crystalline, amorphous and/or eutectic phases formed during freezing which can differentially affect viability. This work describes the use of X-ray computer tomography (CT) for non-invasive, indirect determination of the phase, solute concentration and temperature within biomaterials (CPA, CDA loaded solutions and tissues) by X-ray attenuation before and after freezing. Specifically, this work focuses on establishing the feasibility of CT (100-420 kV acceleration voltage) to accurately measure the concentration of glycerol or salt as model CPA and CDAs in unfrozen solutions and tissues at 20 degrees C, or the phase in frozen solutions and tissue systems at -78.5 and -196 degrees C. The solutions are composed of water with physiological concentrations of NaCl (0.88% wt/wt) and DMEM (Dulbecco's Modified Eagle's Medium) with added glycerol (0-8 M). The tissue system is chosen as 3 mm thick porcine liver slices as well as 2 cm diameter cores which were either imaged fresh (3-4 h cold ischemia) or after loading with DMEM based glycerol solutions (0-8 M) for times ranging from hours to 7 days at 4 degrees C. The X-ray attenuation is reported in Hounsfield units (HU), a clinical measurement which normalizes X-ray attenuation values by the difference between those of water and air. NaCl solutions from 0 to 23.3% wt/wt (i.e. water to eutectic concentration) were found to linearly correspond to HU in a range from 0 to 155. At -196 degrees C the variation was from -80 to 95 HU while at -78.5 degrees C all readings were roughly 10 HU lower. At 20 degrees C NaCl and DMEM solutions with 0-8 M glycerol loading show a linear variation from 0 to 145 HU. After freezing to -78.5 degrees C the variation of the NaCl and DMEM solutions is more than twice as large between -90 and +190 HU and was distinctly non-linear above 6 M. After freezing to -196 degrees C the variation of the NaCl and DMEM solutions increased even further to -80 to +225 HU and was distinctly non-linear above 4 M, which after modeling the phase change and crystallization process is shown to correlate with an amorphous phase. In all tissue systems the HU readings were similar to solutions but higher by roughly 30 HU, as well as showing some deviations at 0 M after storage, probably due to tissue swelling. The standard deviations in all measurements were roughly 5 HU or below in all samples. In addition, two practical examples for CT use were demonstrated including: (1) glycerol loading and freezing of tissue cores and, (2) a mock cryosurgical procedure. In the loading experiment CT was able to measure the permeation of the glycerol into the sample at 20 degrees C, as well as the evolution of distinct amorphous vs. crystalline phases after freezing to -196 degrees C. In the mock cryosurgery example, the iceball edge was clearly visualized, and attempts to determine the temperature within the iceball are discussed. An added benefit of this work is that the density of these frozen samples, an essential property in measurement and modeling of thermal processes, was obtained in comparison to ice.

Measured effect of collection and cooling conditions on the motility and the water transport parameters at subzero temperatures of equine spermatozoa

The effects of extracellular ice and cryoprotective agents on the measured volumetric shrinkage response and the membrane permeability parameters of equine spermatozoa have been reported previously. The volumetric shrinkage data were obtained using a differential scanning calorimeter technique that was independent of cell shape. The aim of this study was to examine the effects of collection and cooling conditions on the motility and the water transport parameters at subzero temperatures of equine spermatozoa. Stallion semen samples were collected using either a commercial lubricating agent, which caused osmotic stress to the spermatozoa, or water-insoluble Vaseline( trade mark ) as the artificial vagina lubricant. In some experiments, spermatozoa were cooled at 1 degrees C min(-1) from 20 degrees C to 4 degrees C to induce cold shock. An Equitainer was used to achieve control cooling rates (< or = 0.3 degrees C min(-1)) at temperatures > 0 degrees C. The water transport response of spermatozoa that were cold-shocked and osmotically shocked was significantly different from that of control spermatozoa (P < 0.01). Osmotic stress appeared to have an effect on the water transport response, although this effect was not significant. These results indicate that cold shock alters the behaviour of equine spermatozoa in cryopreservation protocols as a result of changes in the water transport properties of the plasma membrane. Although osmotic stress did not significantly affect water transport in equine spermatozoa, it did significantly decrease sperm motility in the extended semen samples (P < 0.01), which would, in turn, lower the quality of cold-stored or cryopreserved spermatozoa.

Measured effect of collection and cooling conditions on the motility and the water transport parameters at subzero temperatures of equine spermatozoa

The effects of extracellular ice and cryoprotective agents on the measured volumetric shrinkage response and the membrane permeability parameters of equine spermatozoa have been reported previously. The volumetric shrinkage data were obtained using a differential scanning calorimeter technique that was independent of cell shape. The aim of this study was to examine the effects of collection and cooling conditions on the motility and the water transport parameters at subzero temperatures of equine spermatozoa. Stallion semen samples were collected using either a commercial lubricating agent, which caused osmotic stress to the spermatozoa, or water-insoluble Vaseline( trade mark ) as the artificial vagina lubricant. In some experiments, spermatozoa were cooled at 1 degrees C min(-1) from 20 degrees C to 4 degrees C to induce cold shock. An Equitainer was used to achieve control cooling rates (< or = 0.3 degrees C min(-1)) at temperatures > 0 degrees C. The water transport response of spermatozoa that were cold-shocked and osmotically shocked was significantly different from that of control spermatozoa (P < 0.01). Osmotic stress appeared to have an effect on the water transport response, although this effect was not significant. These results indicate that cold shock alters the behaviour of equine spermatozoa in cryopreservation protocols as a result of changes in the water transport properties of the plasma membrane. Although osmotic stress did not significantly affect water transport in equine spermatozoa, it did significantly decrease sperm motility in the extended semen samples (P < 0.01), which would, in turn, lower the quality of cold-stored or cryopreserved spermatozoa.

Lipid and protein changes due to freezing in Dunning AT-1 cells

Defining the process of cellular injury during freezing, at the molecular level, is important for cryosurgical applications. This work shows changes to both membrane lipids and protein structures within AT-1 Dunning prostate tumor cells after a freezing stress which induced extreme injury and cell death. Cells were frozen in an uncontrolled fashion to -20 or -80 degrees C. Freezing resulted in an increase in the gel to liquid crystalline phase transition temperature (T(m)) of the cellular membranes and an increase in the temperature range over which the transition occurred, as determined by Fourier transform infrared spectroscopy (FTIR). Thin layer chromatography (TLC) analysis of total lipid extracts showed free fatty acids (FFA) in the frozen samples, indicating a change in the lipid composition. The final freezing temperature had no effect on the thermotropic response of the membranes or on the FFA content of the lipid fraction. The overall protein secondary structure as determined by FTIR showed only slight changes after freezing to -20 degrees C, in contrast to a strong and apparently irreversible denaturation after freezing to -80 degrees C. Taken together, these results suggest that the decrease in viability between control and frozen cells can be correlated with small changes in the membrane lipid composition and membrane fluidity. In addition, loss of cell viability is associated with massive protein denaturation as observed in cells frozen to -80 degrees C, which was not observed in samples frozen to -20 degrees C.

Quantitative measurement and prediction of biophysical response during freezing in tissues

Cryopreservation and cryosurgery are important biomedical applications used to selectively preserve or destroy cellular systems through freezing. Studies using cryomicroscopy techniques, which allow the visualization of the freezing process in single cells, have shown that a drop in viability correlates with the extent of two biophysical events during the freezing process: (a) intracellular ice formation and (b) cellular dehydration. These same biophysical events operate in tissue systems; however, the inability to visualize and quantify the dynamics of the freezing process in tissues has hampered direct correlation of these events with freezing-induced changes in viability. This review highlights two new techniques that use freeze substitution and differential scanning calorimetry to provide dynamic freezing data in tissue. Characteristic dimensions and parameters extracted from these new data are then used in a predictive model of biophysical freezing response in several tissues, including liver and tumor. This approach promises to help guide improved design of both cryopreservation and cryosurgical applications of tissue freezing.

Cryopreservation of equine sperm: optimal cooling rates in the presence and absence of cryoprotective agents determined using differential scanning calorimetry

Optimization of equine sperm cryopreservation protocols requires an understanding of the water permeability characteristics and volumetric shrinkage response during freezing. A cell-shape-independent differential scanning calorimeter (DSC) technique was used to measure the volumetric shrinkage during freezing of equine sperm suspensions at cooling rates of 5 degrees C/min and 20 degrees C/min in the presence and absence of cryoprotective agents (CPAs), i.e., in the Kenney extender and in the lactose-EDTA extender, respectively. The equine sperm was modeled as a cylinder of length 36.5 microm and a radius of 0.66 microm with an osmotically inactive cell volume (V(b)) of 0.6V(o), where V(o) is the isotonic cell volume. Sperm samples were collected using water-insoluble Vaseline in the artificial vagina and slow cooled at < or = 0.3 degrees C/min in an Equitainer-I from 37 degrees C to 4 degrees C. By fitting a model of water transport to the experimentally obtained DSC volumetric shrinkage data, the best-fit membrane permeability parameters (L(pg) and E(Lp)) were determined. The combined best-fit parameters of water transport (at both 5 degrees C/min and 20 degrees C/min) in Kenney extender (absence of CPAs) are L(pg) = 0.02 microm min(-1) atm(-1) and E(Lp) = 32.7 kcal/mol with a goodness-of-fit parameter R(2) = 0.96, and the best-fit parameters in the lactose-EDTA extender (the CPA medium) are L(pg)[cpa] = 0.008 microm min(-1) atm(-1) and E(Lp)[cpa] = 12.1 kcal/mol with R(2) = 0.97. These parameters suggest that the optimal cooling rate for equine sperm is approximately 29 degrees C/min and is approximately 60 degrees C/min in the Kenney extender and in the lactose-EDTA extender. These rates are predicted assuming no intracellular ice formation occurs and that the approximately 5% of initial osmotically active water volume trapped inside the cells at -30 degrees C will form innocuous ice on further cooling. Numerical simulations also showed that in the lactose-EDTA extender, equine sperm trap approximately 3.4% and approximately 7.1% of the intracellular water when cooled at 20 degrees C/min and 100 degrees C/min, respectively. As an independent test of this prediction, the percentage of viable equine sperm was obtained after freezing at 6 different cooling rates (2 degrees C/min, 20 degrees C/min, 50 degrees C/min, 70 degrees C/min, 130 degrees C/min, and 200 degrees C/min) to -80 degrees C in the CPA medium. Sperm viability was essentially constant between 20 degrees C/min and 130 degrees C/min.

Evaluation of freezing effects on human microvascular-endothelial cells (HMEC)

There is mounting evidence that the endothelium may play an important role in traditional cryosurgical treatments by acting to locally foster thrombi in the microvasculature of various tissues after freezing. In addition, new catheter based cryosurgical probes are being designed for cardiovascular applications where endothelial and smooth muscle cell freezing is involved but not well understood. Therefore, this study was designed to investigate, at the cellular level in human microvascular endothelial cells (hMEC), the various biophysical changes that occur during freezing which can affect post-freeze viability. The hMECs were loaded on a cryomicroscope stage and freezing experiments at 5, 10, 15, 25, 100 and 130 degrees C/min were performed to experimentally evaluate dehydration (water transport) as well as intracellular ice formation (IIF) within this cell system. The dehydration kinetics at 5, 10 and 25 degrees C/min were found to be governed by a membrane permeability L(pg) and activation energy E(Lp) of 0.05 (microm/min.atm) and 14.8 (kcal/mole) respectively [R(2)=0.94]. These parameters were then tested for predictive ability against the experimentally measured behavior at 15 degrees C/min with a good agreement [R(2)=0.98]. Intracellular Ice Formation (IIF) was found to occur at lower temperatures than many cell types (i.e. TIIF 50% approximately -18 degrees C) and at cooling rates greater than or equal to 25 degrees C/min. At cooling rates above 50 degrees C/min, two types of IIF, cell darkening and twitching, were both observed and quantified and were assumed to be governed by Surface Catalyzed Nucleation (SCN). IIF parameters, omega(o) and kappa(o), which fit data from 50, 100 and 130 degrees C/min were found to be 6.8 x 10(-8) (m(2).s)(-1) and 8.3 x 10(-9) (K5) [R(2)=0.94] respectively. Preliminary results show that viability drops precipitously between -20 and -30 degrees C, however, further studies are warranted to address the role of cooling rate, end-temperature, hold time and thawing rate to establish the freeze sensitivity of this cell.

Cryosurgery of normal and tumor tissue in the dorsal skin flap chamber: Part I--thermal response

Current research in cryosurgery is concerned with finding a thermal history that will definitively destroy tissue. In this study, we measured and predicted the thermal history obtained during freezing and thawing in a cryosurgical model. This thermal history was then compared to the injury observed in the tissue of the same cryosurgical model (reported in companion paper (Hoffmann and Bischof, 2001)). The dorsal skin flap chamber, implanted in the Copenhagen rat, was chosen as the cryosurgical model. Cryosurgery was performed in the chamber on either normal skin or tumor tissue propagatedfrom an AT-1 Dunning rat prostate tumor. The freezing was performed by placing a approximately 1 mm diameter liquid-nitrogen-cooled cryoprobe in the center of the chamber and activating it for approximately 1 minute, followed by a passive thaw. This created a 4.2 mm radius iceball. Thermocouples were placed in the tissue around the probe at three locations (r = 2, 3, and 3.8 mm from the center of the window) in order to monitor the thermal history produced in the tissue. The conduction error introduced by the presence of the thermocouples was investigated using an in vitro simulation of the in vivo case and found to be <10 degrees C for all cases. The corrected temperature measurements were used to investigate the validity of two models of freezing behavior within the iceball. The first model used to approximate the freezing and thawing behavior within the DSFC was a two-dimensional transient axisymmetric numerical solution using an enthalpy method and incorporating heating due to blood flow. The second model was a one-dimensional radial steady state analytical solution without blood flow. The models used constant thermal properties for the unfrozen region, and temperature-dependent thermal properties for the frozen region. The two-dimensional transient model presented here is one of the first attempts to model both the freezing and thawing of cryosurgery. The ability of the model to calculate freezing appeared to be superior to the ability to calculate thawing. After demonstrating that the two-dimensional model sufficiently captured the freezing and thawing parameters recorded by the thermocouples, it was used to estimate the thermal history throughout the iceball. This model was used as a basis to compare thermal history to injury assessment (reported in companion paper (Hoffmann and Bischof, 2001)).

Cryosurgery of normal and tumor tissue in the dorsal skin flap chamber: Part II--injury response

It has been hypothesized that vascular injury may be an important mechanism of cryosurgical destruction in addition to direct cellular destruction. In this study we report correlation of tissue and vascular injury after cryosurgery to the temperature history during cryosurgery in an in vivo microvascular preparation. The dorsal skin flap chamber implanted in the Copenhagen rat, was chosen as the cryosurgical model. Cryosurgery was performed in the chamber on either normal skin or tumor tissue propagated from an AT-1 Dunning rat prostate tumor, as described in a companion paper (Hoffmann and Bischof, 2001). The vasculature was then viewed at 3 and 7 days after cryoinjury under brightfield and FITC-labeled dextran contrast enhancement to assess the vascular injury. The results showed that there was complete destruction of the vasculature in the center of the lesion and a gradual return to normal patency moving radially outward. Histologic examination showed a band of inflammation near the edge of a large necrotic region at both 3 and 7 days after cryosurgery. The area of vascular injury observed with FITC-labeled dextran quantitatively corresponded to the area of necrosis observed in histologic section, and the size of the lesion for tumor and normal tissue was similar at 3 days post cryosurgery. At 7 days after cryosurgery, the lesion was smaller for both tissues, with the normal tissue lesion being much smaller than the tumor tissue lesion. A comparison of experimental injury data to the thermal model validated in a companion paper (Hoffmann and Bischof 2001) suggested that the minimum temperature required for causing necrosis was -15.6 +/- 4.3 degrees C in tumor tissue and -19.0 +/- 4.4 degrees C in normal tissue. The other thermal parameters manifested at the edge of the lesion included a cooling rate of approximately 28 degrees C/min, 0 hold time, and a approximately 9 degrees C/min thawing rate. The conditions at the edge of the lesion are much less severe than the thermal conditions required for direct cellular destruction of AT-1 cells and tissues in vitro. These results are consistent with the hypothesis that vascular-mediated injury is responsible for the majority of injury at the edge of the frozen region in microvascular perfused tissue.

Evaluation of thermal therapy in a prostate cancer model using a wet electrode radiofrequency probe

PURPOSE

To determine the temperature-time threshold of local cell death in vivo for thermal therapy in a prostate cancer animal model and to use this value as a benchmark to quantify global tissue injury.

MATERIALS AND METHODS

Two studies were designed in the Dunning AT-1 rat prostate tumor hind limb model. For both studies, a wet electrode radiofrequency (RF) probe was used to deliver 40 W of energy for 18 to 62 seconds after a 30-second infusion of hypertonic saline/Hypaque through the RF antenna. Thermal history measurements were obtained in tumors from at least two Fluoroptic probes placed radially 5 mm from the axis of a RF probe and 10 mm below the surface of the tissue. In study 1, the thermal history required for irreversible cell injury was experimentally determined by comparing the predicted injury accumulation (omega) with cell viability at the fluoroptic probe locations using an in vivo-in vitro assay. The omega value was calculated from the measured thermal histories using an Arrhenius damage model. In study 2, RF energy was applied for 40 seconds in all cases. At 1, 3, and 7 days after thermal therapy, triphenyltetrazolium chloride dye (TTC) and histologic analyses were performed to assess global tissue injury within a 5-mm radius from the axis of the RF probe.

RESULTS

Study 1 showed that cell survival dropped to 0 for 0.42 < omega < 0.7. This result was the basis for selection of 40 seconds of RF thermal therapy in study 2, which yielded omegaave = 0.5 in the tissue 5 mm from the probe axis. Both TTC and histology analysis showed that sham-treated tissue was not irreversibly injured. However, there was an inherent heterogeneity present in the tumor that accounted for as much as 15% necrosis in control or sham-treated tissue. In contrast, at 1, 3, and 7 days after therapy, significantly less enzyme activity was observed by TCC in thermally treated tissue compared with sham-treated tissue (35 v 85%; P < 0.001). Histologic analysis of thermally treated tissues revealed a gradual increase in the percent of coagulative necrosis (47%-70%) with a concomitant decrease in the percentage of shocked cells (53%-28%). At day 7, <3% viability was observed in treated tumors compared with 90% viability in sham-treated tissue.

CONCLUSION

The threshold of cellular injury in vivo corresponded to omega > 0.7 (> or =48 degrees C for 40 seconds). Global tissue injury could be conservatively predicted on the basis of local thermal histories during therapy.

Microscopic and calorimetric assessment of freezing processes in uterine fibroid tumor tissue

The use of cryosurgery in the treatment of uterine fibroids is emerging as a possible treatment modality. The two known mechanisms of direct cell injury during the tissue freezing process are linked to intracellular ice formation and cellular dehydration. These processes have not been quantified within uterine fibroid tumor tissue. This study reports the use of a combination of freeze-substitution microscopy and differential scanning calorimetry (DSC) to quantify freeze-induced dehydration within uterine fibroid tumor tissue. Stereological analysis of histological tumor sections was used to obtain the initial cellular volume (V(o)) or the Krogh model dimensions (deltaX, the distance between the microvascular channels = 15.5 microm, r(vo), the initial radius of the extracellular space = 4.8 micro m, and L, the axial length of the Krogh cylinder = 19.1 microm), the interstitial volume ( approximately 23%), and the vascular volume ( approximately 7%) of the fibroid tumor tissue. A Boyle-van't Hoff plot was then constructed by examining freeze-substituted micrographs of "equilibrium"-cooled tissue slices to obtain the osmotically inactive cell volume, V(b) = 0.47V(o). The high interstitial volume precludes the use of freeze-substitution microscopy data to quantify freeze-induced dehydration. Therefore, a DSC technique, which does not suffer from this artifact, was used to obtain the water transport data. A model of water transport was fit to the calorimetric data at 5 and 20 degrees C/min to obtain the "combined best fit" membrane permeability parameters of the embedded fibroid tumor cells, assuming either a Krogh cylinder geometry, L(pg) = 0.92 x 10(-13) m(3)/Ns (0.55 microm/min atm) and E(Lp) = 129.3 kJ/mol (30.9 kcal/mol), or a spherical cell geometry (cell diameter = 18.3 microm), L(pg) = 0.45 x 10(-13) m(3)/Ns (0.27 microm/min atm) and E(Lp) = 110.5 kJ/mol (26.4 kcal/mol). In addition, numerical simulations were performed to generate conservative estimates, in the absence of ice nucleation between -5 and -30 degrees C, of intracellular ice volume in the tumor tissue at various cooling rates typical of those experienced during cryosurgery (< or =100 degrees C/min). With this assumption, the Krogh model simulations showed that the fibroid tumor tissue cells cooled at rates < or = 50 degrees C/min are essentially dehydrated; however, at rates >50 degrees C/min the amount of water trapped within the tissue cells increases rapidly with increasing cooling rate, suggesting the formation of intracellular ice.

Measurement and prediction of thermal behavior and acute assessment of injury in a pig model of renal cryosurgery

PURPOSE

To analyze in vivo end temperatures and histologic injury in a standardized cryo-iceball using a porcine kidney model in order to establish the threshold temperature for tissue ablation. To evaluate the ability to predict end temperatures using a thermal finite element model.

MATERIALS AND METHODS

A single freeze/thaw cryolesion was created in five pig kidneys and the temperature history recorded. End temperature was calculated using a thermal finite element model. The threshold temperature for tissue injury was established by directly correlating end temperature and histologic injury.

RESULTS

Reproducible geometry and temperature profiles of the cryo-iceball were found. End temperature could be accurately predicted through thermal modeling, and correlation with histologic injury revealed a threshold temperature of -16.1 degrees C for complete tissue ablation.

CONCLUSION

Thermal modeling may accurately predict end temperature within a cryo-iceball. Provided threshold temperatures for tissue destruction are known, modeling may become a powerful tool in cryosurgery, improving the assessment of damage in normal and malignant tissue.

Investigation of the mechanism and the effect of cryoimmunology in the Copenhagen rat

This study examined the potential for "cryoimmunology" to increase the destruction of the Dunning AT-1 prostate tumor after cryosurgery. Two possible mechanisms explaining the cryoimmunologic response were studied. The first was that an antitumor antibody is produced after cryosurgery. The second was that freezing induces an immunostimulatory signal that creates a T-cell response to the tumor. Six groups of animals (three experimental groups and three control groups) were treated once per week for 4 weeks with different therapies designed to investigate these mechanisms. Three types of immune response were measured: (1) the anti-AT-1 tumor immune titer (Ab response) by serum ELISA, (2) the effect on secondary tumor growth after challenge with live AT-1 cells (size and weight of the secondary tumor over time), and (3) the nature of the immunologic infiltrate into the secondary tumors by immunoperoxidase stain. ELISA showed that immune titers were present in the experimental groups after therapy, but the presence of an immune titer did not have a significant effect on tumor propagation. Histology showed the immunologic infiltrate was similar in all groups. These results showed that an immune response to AT-1 tumor was measurable by serum antibody, but it did not significantly limit secondary tumor growth or affect tumor histology. This suggests that the growth of AT-1 tumors is not inhibited by a cryoimmunological response. Thus, the effect of in vivo cryosurgery in the AT-1 tumor system would likely be limited to cellular and vascular changes.

A simple cryopreservation method for the maintenance of cell viability and mechanical integrity of a cultured cartilage analog

A method for cryopreserving a 100-microm-thick sheet of tissue produced by cultured rabbit chondrocytes has been developed. The method maintains cell viability and avoids tissue fracture and degradation of mechanical properties. A slow-freeze, fast-thaw procedure with 2 M Me(2)SO as the cryoprotectant resulted in no tissue fracture and approximately 90% viable cells after storage in culture flasks at -80 degrees C. The cells in the retrieved tissue remained responsive to IL-1beta, and tensile and fracture toughness properties of the tissue were not degraded by cryopreservation.

The effect of extracellular ice and cryoprotective agents on the water permeability parameters of human sperm plasma membrane during freezing

A firm biophysical basis for the cryopreservation of human spermatozoa is limited by a lack of knowledge regarding the water permeability characteristics during freezing in the presence of extracellular ice and cryoprotective agents (CPA). Cryomicroscopy cannot be used to measure dehydration during freezing in human spermatozoa because of their highly non-spherical shape and their small dimensions which are at the limits of light microscopic resolution. Using a new shape-independent differential scanning calorimeter (DSC) technique, volumetric shrinkage during freezing of human sperm cell suspensions was obtained at cooling rates of 5 and 10 degrees C/min in the presence of extracellular ice and CPA. Using previously published data, the human sperm cell was modelled as a cylinder of length 40.2 micrometer and a radius of 0.42 micrometer with an osmotically inactive cell volume, V(b), of 0.23V(o), where V(o) is the isotonic cell volume. By fitting a model of water transport to the experimentally obtained volumetric shrinkage data, the best fit membrane permeability parameters (L(pg) and E(Lp)) were determined. The 'combined best fit' membrane permeability parameters at 5 and 10 degrees C/min for human sperm cells in modified media are: L(pg) = 2. 4x10(-14) m(3)/Ns (0.14 micrometer/min-atm) and E(Lp) = 357.7 kJ/mol (85. 5 kcal/mol) (R(2) = 0.98), and in CPA media (with 6% glycerol and 10% egg yolk) are L(pg)[cpa] = 0.67x10(-14) m(3)/Ns (0.04 micrometer/min-atm) and E(Lp)[cpa] = 138.9 kJ/mol (33.2 kcal/mol) (R(2) = 0.98). These parameters are significantly different from previously published parameters for human spermatozoa obtained at suprazero temperatures and at subzero temperatures in the absence of extracellular ice. The parameters obtained in this study also suggest that damaging intracellular ice formation (IIF) could occur in human sperm cells at cooling rates as low as 25-45 degrees C/min, depending on the concentrations of the CPA. This may help to explain the discrepancy between the empirically determined optimal cryopreservation cooling rates (<100 degrees C/min) and the numerically predicted optimal cooling rates (>7000 degrees C/min) obtained using previously published suprazero human sperm permeability parameters which do not account for the presence of extracellular ice.

Supraphysiological thermal injury in Dunning AT-1 prostate tumor cells

To investigate the potential application of thermal therapy in the treatment of prostate cancer, the effects of supraphysiological temperatures (40-70 degrees C) for clinically relevant time periods (approximately 15 minutes) were experimentally studied on attached Dunning AT-1 rat prostate cancer cells using multiple assays. The membrane and reproductive machinery were the targets of injury selected for this study. In order to assess membrane injury, the leakage of calcein was measured dynamically, and the uptake of PI was measured postheating (1-3 hours). Clonogenicity was used as a measure of injury to the reproductive machinery 7 days post-injury after comparable thermal insults. Experimental results from all three assays show a broad trend of increasing injury with an increase in temperature and time of insult. Membrane injury, as measured by the fluorescent dye assays, does not correlate with clonogenic survival for many of the thermal histories investigated. In particular, the calcein assay at temperatures of < or = 40 degrees C led to measurable injury accumulation (dye leakage), which was considered sublethal, as shown by significant survival for comparable insult in the clonogenic assay. Additionally, the PI uptake assay used to measure injury post-thermal insult shows that membrane injury continues to accumulate after thermal insult at temperatures > or = 50 degrees C and may not always correlate with clonogenicity at hyperthermic temperatures such as 45 degrees C. Last, although the clonogenic assay yields the most accurate cell survival data, it is difficult to acquire these data at temperatures > or = 50 degrees C because the thermal transients in the experimental setup are significant as compared to the time scale of the experiment. To improve prediction and understanding of thermal injury in this prostate cancer cell line, a first-order rate process model of injury accumulation (the Arrhenius model) was fit to the experimental results. The activation energy (E) obtained using the Arrhenius model for an injury criterion of 30 percent for all three assays revealed that the mechanism of thermal injury measured is likely different for each of the three assays: clonogenics (526.39 kJ/mole), PI (244.8 kJ/mole), and calcein (81.33 kJ/mole). Moreover, the sensitivity of the rate of injury accumulation (d omega/dt) to temperature was highest for the clonogenic assay, lowest for calcein leakage, and intermediate for PI uptake, indicating the strong influence of E value on d omega/dt. Since the clonogenic assay is linked to the ultimate survival of the cell and accounts for all lethal mechanisms of cellular injury, the E and A values obtained from clonogenic study are the best values to apply to predict thermal injury in cells. For higher temperatures (> or = 50 degrees C) indicative of thermal therapies, the results of PI uptake can be used as a conservative estimate of cell death (underprediction). This is useful until better experimental protocols are available to account for thermal transients at high temperature to assess clonogenic ability. These results provide further insights into the mechanisms of thermal injury in single cell systems and may be useful for designing optimal protocols for clinical thermal therapy.

Subzero water permeability parameters of mouse spermatozoa in the presence of extracellular ice and cryoprotective agents

Optimization of techniques for cryopreservation of mammalian sperm is limited by a lack of knowledge regarding water permeability characteristics during freezing in the presence of extracellular ice and cryoprotective agents (CPAs). Cryomicroscopy cannot be used to measure dehydration during freezing in mammalian sperm because they are highly nonspherical and their small dimensions are at the limits of light microscopic resolution. Using a new shape-independent differential scanning calorimeter (DSC) technique, volumetric shrinkage during freezing of ICR mouse epididymal sperm cell suspensions was obtained at cooling rates of 5 and 20 degrees C/min in the presence of extracellular ice and CPAs. Using previously published data, the mouse sperm cell was modeled as a cylinder (122-microm long, radius 0.46 microm) with an osmotically inactive cell volume (V(b)) of 0.61V(o), where V(o) is the isotonic cell volume. By fitting a model of water transport to the experimentally obtained volumetric shrinkage data, the best-fit membrane permeability parameters (L(pg) and E(Lp)) were determined. The "combined best-fit" membrane permeability parameters at 5 and 20 degrees C/min for mouse sperm cells in solution are as follows: in D-PBS: L(pg) = 1.7 x 10(-15) m(3)/Ns (0.01 microm/min-atm) and E(Lp) = 94.1 kJ/mole (22.5 kcal/mole) (R(2) = 0.94); in "low" CPA media (consisting of 1% glycerol, 6% raffinose, and 15% egg yolk in D-PBS): L(pg)[cpa] = 1.7 x 10(-15) m(3)/Ns (0.01 microm/min-atm) and E(Lp)[cpa] = 122.2 kJ/mole (29.2 kcal/mole) (R(2) = 0.98); and in "high" CPA media (consisting of 4% glycerol, 16% raffinose, and 15% egg yolk in D-PBS): L(pg)[cpa] = 0.68 x 10(-15) m(3)/Ns (0.004 microm/min-atm) and E(Lp)[cpa] = 63.6 kJ/mole (15.2 kcal/mole) (R(2) = 0.99). These parameters are significantly different than previously published parameters for mammalian sperm obtained at suprazero temperatures and at subzero temperatures in the absence of extracellular ice. The parameters obtained in this study also suggest that damaging intracellular ice formation (IIF) could occur in mouse sperm cells at cooling rates as low as 25-45 degrees C/min, depending on the concentrations of the CPAs. This may help to explain the discrepancy between the empirically determined optimal cryopreservation cooling rates, 10-40 degrees C/min, and the numerically predicted optimal cooling rates, greater than 5000 degrees C/min, obtained using suprazero mouse sperm permeability parameters that do not account for the presence of extracellular ice. As an independent test of this prediction, the percentages of viable and motile sperm cells were obtained after freezing at two different cooling rates ("slow" or 5 degrees C/min; "fast," or 20 degrees C/min) in both the low and high CPA media. The greatest sperm motility and viability was found with the low CPA media under fast (20 degrees C/min) cooling conditions.

A parametric study of freezing injury in AT-1 rat prostate tumor cells

The connection between thermal history and cell injury in single AT-1 cells is studied systematically through a two-level, four-parameter (2(4)) experiment. The four parameters considered are cooling rate (CR), end temperature (ET), hold time (HT), and thawing rate (TR). Cryosurgically relevant high and low values of each parameter are chosen (CR, 5 to 50 degrees C/min; ET, -20 to -80 degrees C; HT, 0 to 15 min; TR, 20 to 200 degrees C/min) to maximize applicability of the results to cryosurgery; it is important to note that any conclusions drawn from the results are valid only for the range of parameter values studied. AT-1 cell suspensions are frozen in a controlled way on a directional solidification stage, and viability is assessed postthaw with a live/dead assay using the fluorescent dyes calcein-AM and propidium iodide to indicate live and dead cells, respectively. The parameters which most significantly affect short-term survival outcome are determined through calculation of the individual parameter effect values (E) according to the factorial experimental design guidelines. In addition, any synergy between two parameters in determining short-term survival outcome is revealed by calculation of the interaction value for those parameters (I). The results suggest that survival is most significantly affected by variation in end temperature and hold time, and the only significant parameter interaction found is between these two parameters. The analysis further suggests that survival depends nonlinearly on the thermal parameters, based on calculation of the survival curvature (C) in the parameter ranges studied. These results are discussed within the context of previously proposed mechanisms of cellular injury during freezing. Although coupling between several mechanisms is possible, single mechanisms which may explain the survival results include slow-cooling injury mechanisms such as solute effects injury, dehydration-induced membrane instabilities, and volume-catalyzed nucleation of intracellular ice.

Liver freezing response of the freeze-tolerant wood frog, Rana sylvatica, in the presence and absence of glucose. I. Experimental measures

In this study, two methods are used to assess the equilibrium and dynamic cell volumes in Rana sylvatica liver tissue during freezing in the presence and absence of a cryoprotectant (glucose). The first is a "two-step" low-temperature microscopy (equilibrium and dynamic) freezing method and the second is a differential scanning calorimeter (DSC) technique. These two techniques were used to study (i) the in vitro architecture of R. sylvatica frog liver tissue and to measure its characteristic Krogh cylinder dimensions; (ii) the "equilibrium" (infinitely slow) cooling behavior and the osmotically inactive cell volume (V(b)) of R. sylvatica liver cells; and (iii) the dynamic water transport response of R. sylvatica liver cells in the presence and absence of the CPA (glucose) at a cooling rate of 5 degrees C/min. Stereological analysis of the slam frozen (>1000 degrees C/min) micrographs led to the determination that 74% of the liver tissue in control frogs was cellular versus 26% that was extracellular (vascular or interstitial). Mapping the stereological measurements onto a standard Krogh cylinder geometry (Model 1) yielded distance between adjacent sinusoid centers, DeltaX = 64 microm; original sinusoid (vascular) radius, r(vo) = 18.4 microm; and length of the Krogh cylinder, L = 0.71 microm (based on an isolated frog hepatocyte cell diameter of 16 microm). A significant observation was that approximately 24% of the frog hepatocyte cells are not in direct contact with the vasculature. To account for the cell-cell contact in the frog liver architecture a modified Krogh cylinder geometry (Model 2) was constructed. In this model (Model 2) a second radius, r(2) = 28.7 microm, was defined (in addition to the original sinusoid radius, r(vo) = 18.4 microm, defined above) as the radius of the membrane between the adjacent cells (directly adjacent to vascular spaces) and embedded cells (removed from vascular spaces). By plotting the two-step equilibrium cooling results on a Boyle-van't Hoff plot, the osmotically inactive cell volume, V(b) was obtained as 0.4. V(o) (where V(o) is the isotonic cell volume). The two-step dynamic micrographs and the heat release measurements from the DSC were used to obtain water transport data during freezing. The DSC technique confirmed that R. sylvatica cells in control liver tissue do not dehydrate completely when cooled at 5 degrees C/min but do so when cooled at 2 degrees C/min.

Liver freezing response of the freeze-tolerant wood frog, Rana sylvatica, in the presence and absence of glucose. II. Mathematical modeling

The "two-step" low-temperature microscopy (equilibrium and dynamic) freezing methods and a differential scanning calorimetry (DSC) technique were used to assess the equilibrium and dynamic cell volumes in Rana sylvatica liver tissue during freezing, in Part I of this study. In this study, the experimentally determined dynamic water transport data are curve fit to a model of water transport using a standard Krogh cylinder geometry (Model 1) to predict the biophysical parameters of water transport: L(pg) = 1.76 microm/min-atm and E(L(p)) = 75.5 kcal/mol for control liver cells and L(pg)[cpa] = 1.18 microm/min-atm and E(L(p))[cpa] = 69.0 kcal/mol for liver cells equilibrated with 0.4 M glucose. The DSC technique confirmed that R. sylvatica cells in control liver tissue do not dehydrate completely when cooled at 5 degrees C/min but do so when cooled at 2 degrees C/min. Cells also retained twice as much intracellular fluid in the presence of 0.4 M glucose than in control tissue when cooled at 5 degrees C/min. The ability of R. sylvatica liver cells to retain water during fast cooling (>/=5 degrees C/min) appears to be primarily due to its liver tissue architecture and not to a dramatically lower permeability to water, in comparison to mammalian (rat) liver cells which do dehydrate completely when cooled at 5 degrees C/min. A modified Krogh model (Model 2) was constructed to account for the cell-cell contact in frog liver architecture. Using the same biophysical permeability parameters obtained with Model 1, the modified Krogh model (Model 2) is used in this study to qualitatively explain the experimentally measured water retention in some cells during freezing on the basis of different volumetric responses by cells directly adjacent to vascular space versus cells at least one cell removed from the vascular space. However, at much slower cooling rates (1-2 degrees C/h) experienced by the frog in nature, the deciding factor in water retention is the presence of glucose and the maintenance of a sufficiently high subzero temperature (>/=-8 degrees C).

The effect of dimethylsulfoxide on the water transport response of rat hepatocytes during freezing

Successful improvement of cryopreservation protocols for cells in suspension requires knowledge of how such cells respond to the biophysical stresses of freezing (intracellular ice formation, water transport) while in the presence of a cryoprotective agent (CPA). This work investigates the biophysical water transport response in a clinically important cell type--isolated hepatocytes--during freezing in the presence of dimethylsulfoxide (DMSO). Sprague-Dawley rat liver hepatocytes were frozen in Williams E media supplemented with 0, 1, and 2 M DMSO, at rates of 5, 10, and 50 degrees C/min. The water transport was measured by cell volumetric changes as assessed by cryomicroscopy and image analysis. Assuming that water is the only species transported under these conditions, a water transport model of the form dV/dT = f(Lpg([CPA]), ELp([CPA]), T(t)) was curve-fit to the experimental data to obtain the biophysical parameters of water transport--the reference hydraulic permeability (Lpg) and activation energy of water transport (ELp)--for each DMSO concentration. These parameters were estimated two ways: (1) by curve-fitting the model to the average volume of the pooled cell data, and (2) by curve-fitting individual cell volume data and averaging the resulting parameters. The experimental data showed that less dehydration occurs during freezing at a given rate in the presence of DMSO at temperatures between 0 and -10 degrees C. However, dehydration was able to continue at lower temperatures (< -10 degrees C) in the presence of DMSO. The values of Lpg and ELp obtained using the individual cell volume data both decreased from their non-CPA values--4.33 x 10(-13) m3/N-s (2.69 microns/min-atm) and 317 kJ/mol (75.9 kcal/mol), respectively--to 0.873 x 10(-13) m3/N-s (0.542 micron/min-atm) and 137 kJ/mol (32.8 kcal/mol), respectively, in 1 M DMSO and 0.715 x 10(-13) m3/N-s (0.444 micron/min-atm) and 107 kJ/mol (25.7 kcal/mol), respectively, in 2 M DMSO. The trends in the pooled volume values for Lpg and ELp were very similar, but the overall fit was considered worse than for the individual volume parameters. A unique way of presenting the curve-fitting results supports a clear trend of reduction of both biophysical parameters in the presence of DMSO, and no clear trend in cooling rate dependence of the biophysical parameters. In addition, these results suggest that close proximity of the experimental cell volume data to the equilibrium volume curve may significantly reduce the efficiency of the curve-fitting process.

Measurement of water transport during freezing in mammalian liver tissue: Part II--The use of differential scanning calorimetry

There is currently a need for experimental techniques to assay the biophysical response (water transport or intracellular ice formation, IIF) during freezing in the cells of whole tissue slices. These data are important in understanding and optimizing biomedical applications of freezing, particularly in cryosurgery. This study presents a new technique using a Differential Scanning Calorimeter (DSC) to obtain dynamic and quantitative water transport data in whole tissue slices during freezing. Sprague-Dawley rat liver tissue was chosen as our model system. The DSC was used to monitor quantitatively the heat released by water transported from the unfrozen cell cytoplasm to the partially frozen vascular/extracellular space at 5 degrees C/min. This technique was previously described for use in a single cell suspension system (Devireddy, et al. 1998). A model of water transport was fit to the DSC data using a nonlinear regression curve-fitting technique, which assumes that the rat liver tissue behaves as a two-compartment Krogh cylinder model. The biophysical parameters of water transport for rat liver tissue at 5 degrees C/min were obtained as Lpg = 3.16 x 10(-13) m3/Ns (1.9 microns/min-atm), ELp = 265 kJ/mole (63.4 kcal/mole), respectively. These results compare favorably to water transport parameters in whole liver tissue reported in the first part of this study obtained using a freeze substitution (FS) microscopy technique (Pazhayannur and Bischof, 1997). The DSC technique is shown to be a fast, quantitative, and reproducible technique to measure dynamic water transport in tissue systems. However, there are several limitations to the DSC technique: (a) a priori knowledge that the biophysical response is in fact water transport, (b) the technique cannot be used due to machine limitations at cooling rates greater than 40 degrees C/min, and (c) the tissue geometric dimensions (the Krogh model dimensions) and the osmotically inactive cell volumes Vb, must be determined by low-temperature microscopy techniques.

Biophysics of freezing in liver of the freeze-tolerant wood frog, R. sylvatica

This study investigates the water transport characteristics during freezing in the liver tissue of the freeze-tolerant wood frog Rana sylvatica. Experiments were performed using both low temperature microscopy and a differential scanning calorimeter (DSC). Tissue samples were cooled at 2 and 5 degree C/min by a "two-step" freezing technique to end temperatures of -4, -6, -8, -10, and -20 degrees C, followed by a slam cooling (> 1000 degrees C/min) step. Stereological analysis of the low temperature microscopy results leads to the conclusions that 74% of the control tissue is cellular (26% vascular), Vb (osmotically inactive cell volume) is 0.4 Vo and the Krogh cylinder dimensions are: distance between adjacent sinusoid centers, delta X = 64 microns, original sinusoid (vascular) radius, rvo = 18.4 microns and length of the Krogh cylinder, L = 0.71 microns (assuming a single isolated hepatocyte cell diameter of 16 microns). A parallel study was also done using the DSC at 2 and 5 degrees C/min, and the measured heat releases from the tissue were used to calculate water transport data. Both techniques confirmed that tissue cooled at 5 degrees C/min does not dehydrate completely, but does so when cooled at 2 degrees C/min. By curve fitting a model to 5 degrees C/min water transport data from both techniques the biophysical parameters of water transport were obtained: Lpg = 1.76 microns/min-atm and ELp = 75.5 Kcal/mol. A modified Krogh model was used to account for the fact that approximately 24% of the hepatocytes were found not to be in direct contact with the vasculature. This model was then used to explain the experimentally measured water retention in some cells on the basis of different volumetric responses to dehydration of cells directly adjacent to vascular spaces and cells at least one cell removed from the vascular spaces.

Response of a liver tissue slab to a hyperosmotic sucrose boundary condition: microscale cellular and vascular level effects

Transport of a non-permeating CPA in liver tissue was studied by experimental and theoretical techniques. The system consisted of a 20 mm x 15 mm x 500 microns (thick) slab of liver tissue which was exposed to culture media and hyperosmotic sucrose (0.3 or 0.6 M) at the boundary. The volumetric changes of cell and vascular spaces within the tissue slab at 125 microns from one of the symmetric boundaries was studied by slam freezing followed by freeze substitution microscopy. The experimental data was then theoretically investigated using two models; one based on an effective diffusion coefficient for sucrose, and another which incorporated the convective flux of water out of the cells (and the tissue) while sucrose diffuses in. We estimate the effective diffusion of sucrose as 16-33% of the actual diffusivity of sucrose in bulk water. The role of convection of water out of the tissue is against the flow of sucrose and appears to be important in reducing the effective diffusivity of the sucrose. The role of vascular compliance, porosity and tortuosity are also discussed with respect to our results.

Measurement of water transport during freezing in cell suspensions using a differential scanning calorimeter

A new technique using a differential scanning calorimeter (DSC) was developed to obtain dynamic and quantitative water transport data in cell suspensions during freezing. The model system investigated was a nonattached spherical lymphocyte (Epstein-Barr virus transformed, EBVT) human cell line. Data from the technique show that the initial heat release of a prenucleated sample containing osmotically active cells in media is greater than the final heat release of an identical sample of osmotically inactive or lysed cells in media. The total integrated magnitude of this difference, Deltaqdsc, was found to be proportional to the cytocrit and hence also to the supercooled water volume in the sample. Further, the normalized fractional integrated heat release difference as a function of temperature, Deltaq(T)dsc/Deltaqdsc, was shown to correlate with the amount of supercooled cellular water which had exosmosed from the cell as a function of subzero temperature at constant cooling rates of 5, 10, and 20 degrees C/min. Several important limitations of the technique are (1) that it requires a priori knowledge of geometric parameters such as the surface area, initial volume, and osmotically inactive cell volume and (2) that the technique alone cannot determine whether the heat released from supercooled cellular water is due to dehydration or intracellular ice formation. Cryomicroscopy was used to address these limitations. The initial cell volume and surface area were obtained directly whereas a Boyle-van't Hoff (BVH) plot was constructed to obtain the osmotically inactive cell volume Vb. Curve fitting the BVH data assuming linear osmometric behavior yielded Vb = 0.258V0; however, nonlinearity in the data suggests that the EBVT lymphocyte cells are not "ideal osmometers" at low subzero temperatures and created some uncertainty in the actual value of Vb. Cryomicroscopy further confirmed that dehydration was the predominant biophysical response of the cells over the range of cooling rates investigated. One notable exception occurred at a rate of 20 degrees C/min where evidence for intracellular ice formation due to a DSC measured heat release between -30 and -34 degrees C correlated with a higher end volume but no darkening of the cells during cryomicroscopy. For the cooling rate tested (5 degrees C/min) the cryomicroscopy data correlated statistically very well with the DSC water transport data. A model of water transport was fit to the DSC water transport data and the average (5, 10, and 20 degrees C/min) biophysical parameters for the EBVT lymphocytes were found to be Lpg = 0.10 micro m/min-atm, ELp = 15.5 kcal/mol. Finally, the decrease in heat release from osmotically active cells measured by the DSC during repetitive freezing and thawing was found to correlate strongly with the viability of the cells measured during identical freeze/thaw protocols with cryomicroscopy. This shows the additional ability of the technique to assess freeze/thaw injury. In summary, this DSC technique is a promising new approach for measuring water transport in cellular systems during freezing.

Measurement and simulation of water transport during freezing in mammalian liver tissue

Optimization of cryosurgical procedures on deep tissues such as liver requires an increased understanding of the fundamental mechanisms of ice formation and water transport in tissues during freezing. In order to further investigate and quantify the amount of water transport that occurs during freezing in tissue, this study reports quantitative and dynamic experimental data and theoretical modeling of rat liver freezing under controlled conditions. The rat liver was frozen by one of four methods of cooling: Method 1-ultrarapid "slam cooling" (> or = 1000 degrees C/min) for control samples; Method 2-equilibrium freezing achieved by equilibrating tissue at different subzero temperatures (-4, -6, -8, -10 degrees C); Method 3-two-step freezing, which involves cooling at 5 degrees C/min. to -4, -6, -8, -10 or -20 degrees C followed immediately by slam cooling; or Method 4-constant and controlled freezing at rates from 5-400 degrees C/min. on a directional cooling stage. After freezing, the tissue was freeze substituted, embedded in resin, sectioned, stained, and imaged under a light microscope fitted with a digitizing system. Image analysis techniques were then used to determine the relative cellular to extracellular volumes of the tissue. The osmotically inactive cell volume was determined to be 0.35 by constructing a Boyle van't Hoff plot using cellular volumes from Method 2. The dynamic volume of the rat liver cells during cooling was obtained using cellular volumes from Method 3 (two-step freezing at 5 degrees C/min). A nonlinear regression fit of a Krogh cylinder model to the volumetric shrinkage data in Method 3 yielded the biophysical parameters of water transport in rat liver tissue of: Lpg = 3.1 x 10(-13) m3/Ns (1.86 microns/min-atm) and ELp = 290 kJ/mole (69.3 kcal/mole), with chi-squared variance of 0.00124. These parameters were then incorporated into the Krogh cylinder model and used to simulate water transport in rat liver tissue during constant cooling at rates between 5-100 degrees C/min. Reasonable agreement between these simulations and the constant cooling rate freezing experiments in Method 4 were obtained. The model predicts that the water transport ceases at a relatively high subzero temperature (-10 degrees C), such that the amount of intracellular ice forming in the tissue cells rises from almost none (= extensive dehydration and vascular expansion) at < or = 5 degrees C/min to over 88 percent of the original cellular water at > or = 50 degrees C/min. The theoretical simulations based on these experimental methods may be of use in visualizing and predicting freezing response, and thus can assist in the planning and implementing of cryosurgical protocols.

Ice formation in isolated human hepatocytes and human liver tissue

Cryopreservation of isolated cells and tissue slices of human liver is required to furnish extracorporeal bioartificial liver devices with a ready supply of hepatocytes, and to create in vitro drug metabolism and toxicity models. Although both the bioartificial liver and many current biotoxicity models are based on reconstructing organ functions from single isolated hepatocytes, tissue slices offer an in vitro system that may more closely resemble the in vivo situation of the cells because of cell-cell and cell-extracellular matrix interactions. However, successful cryopreservation of both cellular and tissue level systems requires an increased understanding of the fundamental mechanisms involved in the response of the liver and its cells to freezing stress. This study investigates the biophysical mechanisms of water transport and intracellular ice formation during freezing in both isolated human hepatocytes and whole liver tissue. The effects of cooling rate on individual cells were measured using a cryomicroscope. Biophysical parameters governing water transport (Lpg = 2.8 microns/min-atm and ELp = 79 kcal/mole) and intracellular heterogeneous ice nucleation (omega het = 1.08 x 10(9) m-2s-1 and kappa het = 1.04 x 10(9) K5) were determined. These parameters were then incorporated into a theoretical Krogh cylinder model developed to simulate water transport and ice formation in intact liver tissue. Model simulations indicated that the cellular compartment of the Krogh model maintained more water than isolated cells under the same freezing conditions. As a result, intracellular ice nucleation occurred at lower cooling rates in the Krogh model than in isolated cells. Furthermore, very rapid cooling rates (1000 degrees C/min) showed a depression of heterogeneous nucleation and a shift toward homogeneous nucleation. The results of this study are in qualitative agreement with the findings of a previous experimental study of the response to freezing of intact human liver.

Cryosurgery of dunning AT-1 rat prostate tumor: thermal, biophysical, and viability response at the cellular and tissue level

This study investigates cryodestruction of the Dunning AT-1 rat prostate tumor at the single cell, tissue slice, and in vivo levels. The thermal history around a 3-mm-diameter cylindrical cryosurgical probe was predicted by solving the bioheat equation in a one-dimensional cylindrical geometry. At various radial positions in the iceball this thermal history was approximated by a constant cooling rate and a final, steady-state temperature (or end-temperature). The predicted cooling rates and end temperatures ranged from > or = 1000 degrees C/min to 5 degrees C/min and -196 degrees C to -20 degrees C, respectively. These cooling rates and end-temperatures were then imposed on single AT-1 cells, AT-1 tissue slices in vitro and AT-1 tumors in vivo. The single cells and tissue slices were frozen by LN2 immersion, copper block slam-freezing, or controlled cooling on a cryomicroscope or a directional solidification stage. LN2 immersion is lethal to AT-1 cells (presumably due to intracellular ice formation), while cooling at 5-100 degrees C/min leaves some viable cells (at end-temperatures ranging between -20 and -40 degrees C). AT-1 tumor slices show extensive intracellular ice formation due to slam cooling, extensive dehydration at 100 degrees C/min, and total dehydration at rates < or = 10 degrees C/min to end temperatures below -10 degrees C. Postfreeze culture and histology of the AT-1 tissue show that extensive intracellular ice formation is lethal, while cellular dehydration and vascular engorgement leave viable cells (at end-temperatures between -20 and -40 degrees C). Based solely on the single cell and in vitro tissue damage achieved by cooling rates and end-temperatures, a sizable portion of a cryosurgically frozen tumor would be expected to survive. However, in vivo cryosurgery performed on AT-1 tumors demonstrated that the tissue was damaged throughout the cryolesion, even at the periphery where the thermal history would be expected to allow single cells and tissue slices to survive in vitro. Taken together, these results suggest that damage mechanisms other than those due to cooling rate and end-temperature may be responsible for the increased cellular destruction at the periphery of the iceball in vivo and that cooling rate is less important than end-temperature in determining cryosurgical damage in AT-1 tumors. Experiments are ongoing to determine if the time held at an end temperature, thawing rate, vascular response, or other mechanisms are primarily responsible for the enhanced destructive capability in vivo.

Rectal protection during prostate cryosurgery: design and characterization of an insulating probe

This study presents the design and characterization of an insulating probe made of silicone that could be used for enhancing the safety and efficacy of prostate cryosurgery. The probe would be placed in Denonvilliers' fascia between the prostate and the rectum prior to freezing. During freezing, the iceball would be monitored by ultrasound through the silicone, and direct temperature monitoring of the rectal and prostatic tissue via thermocouples mounted on opposing sides of the device. Both theoretical and experimental studies were performed to verify the insulating and acoustic properties of the probe. The insulating effect of the silicone will enhance cell death within the prostate while minimizing tissue freezing injury and therefore fistula formation postfreeze in the rectum. Experiments were also performed with the insulator placed in gelatine which showed that the silicone material is transparent to ultrasound. In addition the silicone was itself visible under ultrasound imaging, a characteristic which may assist in the delivery of the device to the surgical site. One possible scenario for reconfiguration and delivery of the device is suggested prior to a cryosurgery. The success of this device in insulating and monitoring temperature during freezing suggests that it can also be useful in protecting sensitive tissues adjacent to a surgical site when extreme heat is applied (i.e., electron or hyperthermic surgery).

Dynamics of cell membrane permeability changes at supraphysiological temperatures

A quantitative fluorescent microscopy system was developed to characterize, in real time, the effects of supraphysiological temperatures between 37 degrees and 70 degrees C on the plasma membrane of mouse 3T3 fibroblasts and isolated rat skeletal muscle cells. Membrane permeability was assessed by monitoring the leakage as a function of time of the fluorescent membrane integrity probe calcein. The kinetics of dye leakage increased with increasing temperature in both the 3T3 fibroblasts and the skeletal muscle cells. Analytical solutions derived from a two-compartment transport model showed that, for both cell types, a time-dependent permeability assumption provided a statistically better fit of the model predictions to the data than a constant permeability assumption. This finding suggests that the plasma membrane integrity is continuously being compromised while cells are subjected to supraphysiological temperatures.

Large ice crystals in the nucleus of rapidly frozen liver cells

Evidence in the literature shows that ice crystals that form in the nucleus of many rapidly cooled cells appear much larger than the ice crystals that form in the surrounding cytoplasm. We investigated the phenomenon in our laboratory using the techniques of freeze substitution and low temperature scanning electron microscopy on liver tissue frozen by liquid nitrogen plunge freezing. This method is estimated to cool the tissue at 1000 degrees C/min. The results from these techniques show that the ice crystal sizes were statistically significantly larger in the nucleus than in the cytoplasm. It is our belief that this finding is important to cryobiology considering its potential role in the process of freezing and the mechanisms of damage during freezing of cells and tissues.

An analytical study of cryosurgery in the lung

The process of freezing in healthy lung tissue and in tumors in the lung during cryosurgery was modeled using one-dimensional close form techniques and finite difference techniques to determine the temperature profiles and the propagation of the freezing interface in the tissue. A thermal phenomenon was observed during freezing of lung tumors embedded in healthy tissue, (a) the freezing interface suddenly accelerates at the transition between the tumor and the healthy lung, (b) the frozen tumor temperature drops to low values once the freezing interface moves into the healthy lung, and (c) the outer boundary temperature has a point of sharp inflection corresponding to the time at which the tumor is completely frozen.