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

Comparative Study on Two Different Methods for Determination of Hydraulic Conductivity of HeLa Cells During Freezing

BACKGROUND

The measurement of hydraulic conductivity of the cell membrane is very important for optimizing the protocol of cryopreservation and cryosurgery. There are two different methods using differential scanning calorimetry (DSC) to measure the freezing response of cells and tissues. Devireddy et al. presented the slow-fast-slow (SFS) cooling method, in which the difference of the heat release during the freezing process between the osmotically active and inactive cells is used to obtain the cell membrane hydraulic conductivity and activation energy. Luo et al. simplified the procedure and introduced the single-slow (SS) cooling protocol, which requires only one cooling process although different cytocrits are required for the determination of the membrane transport properties. To the best of our knowledge, there is still a lack of comparison of experimental processes and requirements for experimental conditions between these two methods. This study made a systematic comparison between these two methods from the aforementioned aspects in detail.

METHODS

The SFS and SS cooling methods mentioned earlier were utilized to obtain the reference hydraulic conductivity (L_pg) and activation energy (E_Lp) of HeLa cells by fitting the model to DSC data.

RESULTS

With the SFS method, it was determined that L_pg = 0.10 μm/(min·atm) and E_Lp = 22.9 kcal/mol; whereas the results obtained by the SS cooling method showed that L_pg = 0.10 μm/(min·atm) and E_Lp = 23.6 kcal/mol.

CONCLUSIONS

The results indicated that the values of the water transport parameters measured by two methods were comparable. In other words, the two parameters can be obtained by comparing the heat releases between two slow cooling processes of the same sample according to the SFS method. However, the SS method required analyzing heat releases of samples with different cytocrits. Thus, more experimental time was required.

Ultrasound Guided Combined Cryoablation and Microencapsulated 5-Fluorouracil Inhibits Growth of Human Prostate Tumors in Xenogenic Mouse Model Assessed by Luminescence Imaging

Modern approaches to minimally invasive ablative treatment of solid tumors involve the use of miniature instruments and combined treatments. These can be enhanced with ultrasound imaging that depicts tumor margins; facilitates guidance, delivery, and dosage of local chemotherapy; and can monitor the effectiveness of the treatment. This paper describes the advantages of ultrasound guided cryosurgery combined with local chemotherapy delivered in multilamellar, echogenic microcapsules of 5-FU (“μcaps”) using a xenograft tumor model. Genetically engineered bioluminescent human prostate tumor cells, DU-145Luc+, were implanted subcutaneously into athymic nude mice. Experiments were designed to mimic the situation where palliative cryoablation spares a portion of the tumor so that the combined effect of cryosurgery and focal injections of chemotherapeutic microcapsules could be evaluated. Eighteen (18) tumors were treated with percutaneous partial cryoablation or interstitial chemoablation, or a combination of both. A single F/T cycle was applied to tumor and micro-encapsulated chemotherapy is delivered at outer margin of frozen tumor in two opposite sites. Results show that the tumor and cryosurgical kill zone contours were seen with both the bio-luminescence assay (BLI) and ultrasonography (US). US can easily detect as little as 2 μl of echogenic μcaps, and monitor their lifetime in the tumor tissue. BLI was determinant in showing that minute amounts of microcapsule chemotherapy (38.7 ng of 5-FU/g tumor) dramatically inhibited tumor growth starting within two days after injection. The mean BLI emitted by control tumors was 5.6 times greater at Day 4 than the BLI measurements from tumors treated with 5-FU μcaps (p=0.036). By Day 7, BLI values from the control tumors were still 2.7 times greater than those treated with 5-FU μcaps (p<0.01). In tumors treated by partial cryoablation, the mean BLI of viable tumor cells was 20 times less at day 3 (p=0.05) and 46% less at day 7 than the non-treated tumors. The combined treatment produced a dramatic inhibition of tumor growth that lasted throughout the 7-day study. The BLI measured from viable tumor cells in non-treated tumors was 34 times greater at day 3 and more than 350 times greater at day 7 than those treated by combined cryoablation and 5-FU μcaps. The results demonstrated, for the first time, that a single moderate freeze of a human prostate tumor combined with bi-focal peripheral microcapsule chemotherapy (5-FU) has a better and longer inhibitory effect on tumor growth compared to the growth inhibition rendered by cryosurgery or local microcapsule chemo-therapy alone. This shows promise for a new, focal, combined ablative modality using US guided deposition of microencapsulated drug(s) and echogenic markers deposited in the hypothermic margin of tumors which could enhance the efficacy of cryoablation of prostate cancers.

Determination of the Membrane Permeability to Water of Human Vaginal Mucosal Immune Cells at Subzero Temperatures Using Differential Scanning Calorimetry

To study mucosal immunity and conduct HIV vaccine trials, it is important to be able to cryopreserve mucosal specimens and recover them in functional viable form. Obtaining a good recovery depends, in part, on cooling the cells at the appropriate rate, which is determined by the rate of water transport across the cell membrane during the cooling process. In this study, the cell membrane permeabilities to water at subzero temperatures of human vaginal mucosal T cells and macrophages were measured using the differential scanning calorimetry method proposed by Devireddy et al. in 1998. Thermal histograms were measured before and after cell lysis using a Slow-Fast-Fast-Slow cooling program. The difference between the thermal histograms of the live intact cells and the dead lysed cells was used to calculate the temperature-dependent cell membrane permeability at subzero temperatures, which was assumed to follow the Arrhenius relationship, [Formula: see text], where Lpg is the permeability to water at the reference temperature (273.15 K). The results showed that Lpg = 0.0209 ± 0.0108 μm/atm/min and Ea = 41.5 ± 11.4 kcal/mol for T cells and Lpg = 0.0198 ± 0.0102 μm/atm/min and Ea = 38.2 ± 10.4 kcal/mol for macrophages, respectively, in the range 0°C to -40°C (mean ± standard deviation). Theoretical simulations predicted that the optimal cooling rate for both T cells and macrophages was about -3°C/min, which was proven by preliminary immune cell cryopreservation experiments.

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.

Thermostability of biological systems: fundamentals, challenges, and quantification

This review examines the fundamentals and challenges in engineering/understanding the thermostability of biological systems over a wide temperature range (from the cryogenic to hyperthermic regimen). Applications of the bio-thermostability engineering to either destroy unwanted or stabilize useful biologicals for the treatment of diseases in modern medicine are first introduced. Studies on the biological responses to cryogenic and hyperthermic temperatures for the various applications are reviewed to understand the mechanism of thermal (both cryo and hyperthermic) injury and its quantification at the molecular, cellular and tissue/organ levels. Methods for quantifying the thermophysical processes of the various applications are then summarized accounting for the effect of blood perfusion, metabolism, water transport across cell plasma membrane, and phase transition (both equilibrium and non-equilibrium such as ice formation and glass transition) of water. The review concludes with a summary of the status quo and future perspectives in engineering the thermostability of biological systems.

Biotransport phenomena in freezing mammalian oocytes

Water transport across the cell plasma membrane and intracellular ice formation (IIF)-the two biophysical events that may cause cell injury during cryopreservation-were studied by cryomicroscopy and modeling using mammalian (Peromyscus) oocytes. Unusually high activation energy for water transport across the cell plasma membrane was identified indicating that the water transport process is unusually sensitive to temperature (and cooling rate). Although literally all studies on IIF were conducted using protocols with ice-seeding (seeding extracellular ice usually at ≥-7 °C), it is not used for cell cryopreservation by vitrification that is becoming increasingly popular today. In this article, we show that ice-seeding has a significant impact on IIF. With ice-seeding and cooling at 60 °C/min, IIF was observed to occur over a wide range from approximately -8 to -48 °C with a clear change of the ice nucleation mechanism (from surface- to volume-catalyzed nucleation) at approximately -43 °C. On the contrary, without ice-seeding, IIF occurred over a much narrower range from approximately -19 to -27 °C without a noticeable change of the nucleation mechanism. Moreover, the kinetics of IIF without ice-seeding was found to be strongly temperature (and cooling rate) dependent. These findings indicate the importance of quantifying the IIF kinetics in the absence of ice-seeding during cooling for development of optimal vitrification protocols of cell cryopreservation.

Membrane Transport Properties of Equine and Macaque Ovarian Tissues Frozen in Mixtures of Dimethylsulfoxide and Ethylene Glycol

The rate at which equine and macaque ovarian tissue sections are first cooled from +25°Cto+4°C has a significant effect on the measured water transport when the tissues are subsequently frozen in 0.85M solutions of glycerol, dimethylsulfoxide (DMSO), or ethylene glycol (EG). To determine whether the response of ovarian tissues is altered if they are suspended in mixtures of cryoprotective agents (CPAs), rather than in solutions of a single CPA, we have now measured the subzero water transport from ovarian tissues that were suspended in mixtures of DMSO and EG. Sections of freshly collected equine and macaque ovaries were suspended either in a mixture of 0.9M EG plus 0.7M DMSO (equivalent to a mixture of ∼5%v∕v of EG and DMSO) or in a 1.6M solution of only DMSO or only EG. The tissue sections were cooled from +25°Cto+4°C and then frozen to subzero temperatures at 5°C∕min. As the tissues were being frozen, a shape-independent differential scanning calorimeter technique was used to measure water loss from the tissues and, consequently, the best fit membrane permeability parameters (Lpg and ELp) of ovarian tissues during freezing. In the mixture of DMSO+EG, the respective values of Lpg and ELp for equine tissue first cooled at 40°C∕min between +25°C and +4°C before being frozen were 0.15μm∕minatm and 7.6kcal∕mole. The corresponding Lpg and ELp values for equine tissue suspended in 1.6M DMSO were 0.12μm∕minatm and 27.2kcal∕mole; in 1.6M EG, the values were 0.06μm∕minatm and 21.9kcal∕mole, respectively. For macaque ovarian tissues suspended in the mixture of DMSO+EG, the respective values of Lpg and ELp were 0.26μm∕minatm and 26.2kcal∕mole. Similarly, the corresponding LLg and ELp values for macaque tissue suspended in 1.6M DMSO were 0.22μm∕minatm and 31.4kcal∕mole; in 1.6M EG, the values were 0.20μm∕minatm and 27.9kcal∕mole. The parameters for both equine and macaque tissue samples suspended in the DMSO+EG mixture and first cooled at 0.5°C∕min between +25°C and +4°C were very similar to the corresponding values for samples cooled at 40°C∕min. In contrast, the membrane parameters of equine and macaque samples first cooled at 0.5°C∕min in single-component solutions were significantly different from the corresponding values for samples cooled at 40°C∕min. These results show that the membrane properties of ovarian cells from two species are different, and that the membrane properties are significantly affected both by the solution in which the tissue is suspended and by the rate at which the tissue is cooled from +25°Cto+4°C before being frozen. These observations suggest that these variables ought to be considered in the derivation of methods to cryopreserve ovarian tissues.

Myolysis of Uterine Fibroids: Is There a Role?

Myolysis is among the new procedures under development for the treatment of symptoms related to uterine leiomyoma. The procedure targets the destruction of fibroids using one of a number of focused energy delivery systems including those based upon radiofrequency electricity, supercooled cryoprobes, and, most recently, focused ultrasound monitored by real time magnetic resonance imaging. For thermomyolysis and cryomyolysis, delivery of the energy requires access to the tissue by laparoscopy, and, in some instances, hysteroscopy. For focused ultrasound, the patient is detached from the energy source, which is delivered by an array of external beams. Clinical evaluation has been confined to case series, but it is evident that the approach results in a variable degree of reduction of the total uterine mass, and, usually, a reduction in uterine bleeding. Clearly, longer term appropriately designed comparative trials are required that evaluate and compare myolysis with myomectomy, uterine artery embolization, and hysterectomy, to name a few.

Susceptibility of uterine myomas and endometrium to cryosurgery using a carbon dioxide cryosurgical probe in vitro

STUDY OBJECTIVE

To determine the effect of a 9-mm diameter carbon dioxide cryoprobe, the Endocryo, on myomas and endometrial/myometrial tissue in vitro.

DESIGN

Comparative laboratory study (Canadian Task Force classification II-2).

SETTING

University laboratory.

PATIENTS

Women with and without myomas, undergoing hysterectomy.

INTERVENTION

A single 5-minute freeze followed by an active thaw was applied to uterine myomas and endometrial/myometrial tissue in vitro.

MEASUREMENTS AND MAIN RESULTS

Endometrial/myometrial and uterine myoma temperature change was measured continuously during the cryosurgical procedure. Depth of cell death was measured using nicotinamide adenine dinucleotide diaphorase enzyme assay. There was no significant difference in temperature change and depth of cell death between myomas and endometrial/myometrial tissue in vitro.

CONCLUSIONS

The Endocryo produces the same cryosurgical effect on both uterine myomas and endometrial/myometrial tissue in vitro, an important principal for future development of a clinically effective cryosurgical device for the treatment of menorrhagia in the presence of submucous myomas.

Subzero water transport characteristics and optimal rates of freezing rhesus monkey (Macaca mulatta) ovarian tissue

The purpose of the present study was to examine the effect of two different suprazero (room temperature +25 degrees C to +4 degrees C) cooling conditions on the measured water transport response of primate (Macaca mulatta) ovarian tissue in the presence and absence of cryoprotective agents (CPAs). Freshly collected Macaca mulatta (rhesus monkey) ovarian tissue sections were cooled at either 0.5 degrees C/min or 40 degrees C/min from 25 to 4 degrees C. A shape independent differential scanning calorimeter (DSC) technique was then used to measure the volumetric shrinkage during freezing of ovarian tissue sections at a freezing rate of 5 degrees C/min in the presence and absence of three different CPAs (0.85 M glycerol, 0.85 M dimethylsulfoxide, and 0.85 M ethylene glycol). Thus, water transport during freezing of primate ovarian tissue was obtained at eight different conditions (i.e., at four different freezing media with two different suprazero cooling conditions). The water transport response of ovarian tissue cooled rapidly from 25 to 4 degrees C was significantly different (P < 0.01) than that of slow cooled tissue, in the freezing media without CPAs and with dimethylsulfoxide. However, the differences in the measured water transport response due to the imposed suprazero cooling conditions were reduced with the addition of glycerol and ethylene glycol (statistically different with P < 0.05). 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 best-fit parameters of water transport in primate ovarian tissue sections ranged from: L(pg) = 0.7 to 0.15 microm/min-atm and E(Lp) = 22.1 to 32.1 kcal/mol (the goodness of fit parameter, R(2) > 0.96). These parameters suggest that the "optimal rates of cryopreservation" for ovarian tissue are significantly dependent upon suprazero cooling conditions and the choice of CPA.

Pregnancy outcome after laparoscopic cryomyolysis of uterine myomas: report of nine cases

STUDY OBJECTIVE

To assess pregnancy course and outcome after laparoscopic cryomyolysis.

DESIGN

Open, one-arm, observational clinical pilot study. (Canadian Task Force classification II).

SETTING

University-affiliated public hospital.

PATIENTS

Nine women who underwent laparoscopic cryomyolysis, with nine pregnancies observed.

INTERVENTION

Laparoscopic cryomyolysis was performed by penetrating along the long axis of the myoma and provoking freezing at temperature -197 degrees C.

MEASUREMENTS AND MAIN RESULTS

After laparoscopic-directed cryomyolysis, pregnant women were evaluated by physical and ultrasonographics examinations. The median time elapsed between cryomyolysis and pregnancy was 14 months (range 7-39 months). At the beginning of pregnancy, the mean volume of myomas was 30.4 mL (range 1.8-124.6 mL). During the first 20 gestational weeks, the mean increase in volume of the nine cryo-treated myomas was 71.1% (range 21.8%-97.7%); the volume of two myomas remained stationary, and two new myomas appeared. Two patients had early miscarriage. Seven pregnancies had a regular course. Four women delivered vaginally, and three by cesarean section. There were no complications in pregnancy, postpartum, and puerperium. No cases of uterine rupture were observed.

CONCLUSIONS

The results of this series of nine pregnancies after laparoscopic cryomyolysis are promising. Laparoscopic cryomyolysis does not compromise a good pregnancy outcome and vaginal delivery. These preliminary data need to be confirmed by larger studies.

Axial oxygen diffusion in the Krogh model: modifications to account for myocardial oxygen tension in isolated perfused rat hearts measured by EPR oximetry

The cylindrical steady-state model developed by Krogh with Erlang has served as the basis of understanding oxygen supply in living tissue for over eighty years. Due to its simplicity and agreement with some observations, it has been extensively used and successfully extended to new fields, especially for situations such as drug diffusion, water transport, and ice formation in tissues. However, the applicability of the model to make even a qualitative prediction of the oxygen level of specific volumes of the tissue is still controversial. We recently have developed an approximate analytical solution of a steady-state diffusion equation for a Krogh cylinder, including oxygen concentration in the capillary. This model was used to explain our previous experimental data on myocardial pO2 in isolated perfused rat hearts measured by EPR oximetry. An acceptable agreement with the experimental data was obtained by assuming that a known limitation of the existing EPR methods--a tendency to over-weight low pO2 values--had resulted in an under-estimate of the pO2. These results are consistent with recent results of others, which stress the importance of taking into account the details of what is measured by various methods.

Suprazero cooling conditions significantly influence subzero permeability parameters of mammalian ovarian tissue

To model the cryobiological responses of cells and tissues, permeability characteristics are often measured at suprazero temperatures and the measured values are used to predict the responses at subzero temperatures. The purpose of the present study was to determine whether the rate of cooling from +25 to +4 degrees C influenced the measured water transport response of ovarian tissue at subzero temperatures in the presence or absence of cryoprotective agents (CPAs). Sections of freshly collected equine ovarian tissue were first cooled either at 40 degrees C/min or at 0.5 degrees C/min from 25 to 4 degrees C, and then cooled to subzero temperatures. A shape-independent differential scanning calorimeter (DSC) technique was used to measure the volumetric shrinkage during freezing of equine ovarian tissue sections. After ice was induced to form in the extracellular fluid within the specimen, the sample was frozen from the phase change temperature to -50 degrees C at 5 degrees C/min. Replicate samples were frozen in isotonic medium alone or in medium containing 0.85 M glycerol or 0.85 M dimethylsulfoxide. The water transport response of ovarian tissue samples cooled at 40 degrees C/min from 25 to 4 degrees C was significantly different (confidence level >95%) from that of tissue samples cooled at 0.5 degrees C/min, whether in the presence or absence of CPAs. We fitted a model of water transport to the experimentally-derived volumetric shrinkage data and determined the best-fit membrane permeability parameters (L(pg) and E(Lp)) of equine ovarian tissue during freezing. Subzero water transport parameters of ovarian tissue samples cooled at 0.5 degrees C/min from 25 to 4 degrees C ranged from: L(pg) = 0.06 to 0.73 microm/min.atm and E(Lp) = 6.1 to 20.5 kcal/mol. The corresponding parameters of samples cooled at 40 degrees C/min from 25 to 4 degrees C ranged from: L(pg) = 0.04 to 0.61 microm/min.atm and E(Lp) = 8.2 to 54.2 kcal/mol. Calculations made of the theoretical response of tissue at subzero temperatures suggest that the optimal cooling rates to cryopreserve ovarian tissue are significantly dependent upon suprazero cooling conditions.

A simplified procedure to determine the optimal rate of freezing biological systems

The effect of several cell-level parameters on the predicted optimal cooling rate B(opt) of an arbitrary biological system has been studied using a well-defined water transport model. An extensive investigation of the water transport model revealed three key cell level parameters: reference permeability of the membrane to water L(pg), apparent activation energy E(Lp), and the ratio of the available surface area for water transport to the initial volume of intracellular water (SA/WV). We defined B(opt) as the "highest" cooling rate at which a predefined percent of the initial water volume is trapped inside the cell (values ranging from 5% to 80%) at a predefined end temperature (values ranging from -5 degrees C to -40 degrees C). Irrespective of the choice of the percent of initial water volume trapped and the end temperature, an exact and linear relationship exists between L(pg), SA/WV, and B(opt0. However, a nonlinear and inverse relationship is found between E(Lp) and B(opt). Remarkably, for a variety of biological systems a comparison of the published experimentally determined values of B(opt) agreed quite closely with numerically predicted B(opt) values when the model assumed 5% of initial water is trapped inside the cell at a temperature of -15 degrees C. This close agreement between the experimental and model predicted optimal cooling rates is used to develop a generic optimal cooling rate chart and a generic optimal cooling rate equation that greatly simplifies the prediction of the optimal rate of freezing of biological systems.

Directed laparoscopic cryomyolysis for symptomatic leiomyomata: One-year follow up

STUDY OBJECTIVE

To evaluate the long-term effectiveness of laparoscopic cryomyolysis as a minimally invasive technique for the treatment of symptomatic uterine myomas in menstruating women.

DESIGN

Open, one-arm pilot study (Canadian Task Force classification II).

SETTING

University-affiliated public hospital.

PATIENTS

Twenty patients with symptomatic uterine myomas were treated with directed cryomyolysis. All had reported abnormal bleeding and/or pelvic pain/pressure and/or urinary frequency. Myoma diameters varied from 4 to 10 cm.

INTERVENTION

One-year follow-up after laparoscopic-directed cryomyolysis.

MEASUREMENTS AND MAIN RESULTS

Laparoscopic cryomyolysis was performed using the Her Option Cryoablation Unit (American Medical Systems, Minneapolis, MN). Patients were evaluated 1, 3, 6, 9, and 12 months after surgery. Power color Doppler ultrasound was performed preoperatively and postoperatively to demonstrate the effectiveness of the technique in reducing or eliminating the primary blood supply to the myomas, as well documenting regression of the myomas. All patients reported a high rate of satisfaction with the treatment including absence of symptoms 12 months after surgery, with no bleeding and no myoma-related symptoms, comparable with patients who underwent hysterectomy. Mean shrinkage of myoma volume increased until 9 months after surgery (59.5% +/- 13.2%), reaching a steady mean-volume reduction of approximately 60% (61.9% +/- 11.9%) 12 months after surgery.

CONCLUSIONS

Directed laparoscopic cryomyolysis appears to be an effective and safe technique for providing rapid symptom relief and at least 12 months' effectiveness in the treatment of symptomatic uterine leiomyomas.

An optical differential scanning calorimeter cryomicroscope

An optical-DSC system was designed, built, tested, calibrated and verified to incorporate into a single device the capability for simultaneous optical cryomicroscopy and differential scanning calorimetry (DSC). This instrument can be used to obtain both visual and thermal data for an individual specimen subjected to a defined freezing and thawing protocol with very little compromise in quality or range of data available in comparison with dedicated single instruments. Temperature and caloric calibrations were performed based on phase transition states in water, n-dodecane and n-decane. The instrument has proven effective for process analysis in living cells and in foodstuffs.

Cryopreservation of Collagen-Based Tissue Equivalents. I. Effect of Freezing in the Absence of Cryoprotective Agents

The effect of freezing on the viability and mechanical properties of tissue-equivalents (TEs) was determined under a variety of cooling conditions, with the ultimate aim of optimizing the cryopreservation process. TEs (a class of bioartificial tissues) were prepared by incubating entrapped human foreskin fibroblasts in collagen gels for a period of 2 weeks. TEs were detached from the substrate and frozen in phosphate-buffered saline using a controlled rate freezer (CRF) at various cooling rates (0.5, 2, 5, 20, and 40 degrees C/min to -80 or -160 degrees C) or in a directional solidification stage (DSS) (5 degrees C/min to -80 degrees C) or slam frozen (>1000 degrees C/min). Viability of the fibroblasts in the TEs was assessed by ethidium homodimer and Hoechst assays immediately after thawing. Uniaxial tension experiments were also performed on an MTS (Eden Prairie, MN) Micro Bionix system to assess the postthaw mechanical properties of the frozen-thawed TEs. Cooling rates of either 2 or 5 degrees C/min using the CRF were optimal for preserving both immediate cell viability and mechanical properties of the TEs, postthaw. By 72 h postthaw, TEs frozen in the CRF at 5 degrees C/min to -80 degrees C showed a slight decrease in cell viability, with a significant increase in tangent modulus and ultimate tensile stress suggesting a cell-mediated recovery mechanism. Both the postthaw mechanical properties and cell viability are adversely affected by freezing to the lower end temperature of -160 degrees C. Mechanical properties are adversely affected by freezing in the DSS.

A microscale model for prediction of breast cancer cell damage during cryosurgery

The morphology of cancerous breast tissue is characterized by tightly packed groups of small malignant cells, as found in most duct cell carcinoma. This special structure affects the osmotic responses of the cells to freezing and hence their probability of damage from cellular dehydration or intracellular ice formation. A mathematical model has been developed to study the microscale damage to these breast cancer cells during cryosurgery by accounting for their special structure. The model is based on a spherical unit comprised of an extracellular region that surrounds several layers of cancer cells, as experimentally observed of breast duct cell carcinoma by other researchers. Temperature transients in the breast cancer undergoing cryosurgery are calculated numerically using the Pennes equation. When subjected to various thermal histories, both cellular dehydration and intracellular ice formation in the unit structure are examined by considering the cell-to-cell contact and water transport at the microscale level. It is found that the cells in the inner layers hardly dehydrated while those in the outermost layer do greatly. The results help interpret the previously observed experimental phenomena that breast cancer tissues exhibit intracellular ice formation even at a slow cooling rate of -3 degrees C/min. In the attempt to better define an optimal procedure for breast cancer cryosurgery, various freezing protocols are simulated. The constant heat flux protocol induces greater cellular dehydration and higher intracellular ice formation probability simultaneously compared to the other protocols studied.