Review of biomaterial thermal property measurements in the cryogenic regime and their use for prediction of equilibrium and non-equilibrium freezing applications in cryobiology

It is well accepted in cryobiology that the temperature history and cooling rates experienced in biomaterials during freezing procedures correlate strongly with biological outcome. Therefore, heat transfer measurement and prediction in the cryogenic regime is central to the field. Although direct measurement of temperature history (i.e. heat transfer) can be performed, accuracy is usually achieved only for local measurements within a given system and cannot be readily generalized to another system without the aid of predictive models. The accuracy of these models rely upon thermal properties which are known to be highly dependent on temperature, and in the case of significant cryoprotectant loading, also on crystallized fraction. In this work, we review the available thermal properties of biomaterials in the cryogenic regime. The review shows a lack of properties for many biomaterials in the subzero temperature domain, and especially for systems with cryoprotective agents. Unfortunately, use of values from the limited data available (usually only down to −40 °C) lead to an underestimation of thermal property change (i.e. conductivity rise and specific heat drop due to ice crystallization) with lower temperatures. Conversely, use of surrogate values based solely on ice thermal properties lead to an overestimation of thermal property change for most biomaterials. Additionally, recent work extending the range of available thermal properties to −150 °C has shown that the thermal conductivity will drop in both PBS and tissue (liver) due to amorphous/glassy phases (versus crystalline) of biomaterials with the addition of cryoprotective additives such as glycerol. Thus, we investigated the implications of using approximated or constant property values versus measured temperature-dependent values for predicting temperature history during freezing in PBS (phosphate-buffered saline) and porcine liver with and without cryoprotectants (glycerol). Using measured property values (thermal conductivity, specific heat, and latent heat of phase change) of porcine liver, a standard was created which showed that values based on surrogate ice properties under-predicted cooling times, while constant properties (i.e. based on limited data reported near the freezing point) over-predicted cooling times. Additionally, a new iterative numerical method that accommodates non-equilibrium cooling effects as a function of time and position (i.e. crystallization versus amorphous phase) was used to predict temperature history during freezing in glycerol loaded systems. Results indicate that in addition to the increase in cooling times due to the lowering of thermal diffusivity with more glycerol, non-equilibrium effects such as the prevention of maximal crystallization (i.e. amorphous phases) will further increase required cooling times. It was also found that the amplified effect of non-equilibrium cooling and crystallization with system size prevents the thermal history to be described with non-dimensional lengths, such as was possible under equilibrium cooling. These results affirm the need to use accurate thermal properties that incorporate temperature dependence and crystallized fraction. Further studies are needed to extract thermal properties of other important biomaterials in the subzero temperature domain and to develop accurate numerical methods which take into account non-equilibrium cooling events encountered in cryobiology when partial or total vitrification occurs.     

Thermodynamic nonequilibrium phase change behavior and thermal properties of biological solutions for cryobiology applications

Understanding the phase change behavior of biomaterials during freezing/thawing including their thermal properties at low temperatures is essential to design and improve cryobiology applications such as cryopreservation and cryosurgery. However, knowledge of phase change behavior and thermal properties of various biomaterials is still incomplete, especially at cryogenic temperatures (< or = -40 degrees C). Moreover, in these applications, chemicals are often added to improve their outcome, which can result in significant variation in the phase change behavior and thermal properties from those of the original biomaterials. These chemical additives include cryoprotective agents (CPAs), antifreeze protein (AFP), or cryosurgical adjuvants like sodium chloride (NaCl). In the present study, phase change behavior and thermal properties of saline solutions--either water-NaCl or phosphate buffered saline (PBS)--with various chemical additives were investigated. The chemical additives studied are glycerol and raffinose as CPAs, an AFP (Type III, molecular weight = 6500), and NaCl as a cryosurgical adjuvant. The phase change behavior was investigated using a differential scanning calorimeter (DSC) and a cryomicroscope. The specific and latent heat of these solutions were also measured with the DSC. The saline solutions have two distinct phase changes--water/ice and eutectic phase changes. During freezing, eutectic solidification of both water-NaCl and PBS are significantly supercooled below their thermodynamic equilibrium eutectic temperatures. However, their melting temperatures are close to thermodynamic equilibrium during thawing. These eutectic phase changes disappear when even a small amount (0.1 M glycerol) of CPA was added, but they are still observed after the addition of an AFP. The specific heats of these solutions are close to that of ice at very low temperatures (< or = -100 degrees C) regardless of the additives, but they increase between -100 degrees C and -30 degrees C with the addition of CPAs. The amount of latent heat, which is evaluated with sample weight, generally decreases with the addition of the additives, but can be normalized to approximately 300 J/g based on the weight of water which participates in the phase change. This illustrates that thermal properties, especially latent heat, of a biomaterial should be evaluated based on the understanding of its phase change behavior. The results of the present study are discussed in the context of the implications for cryobiology applications.     

Large Thermal Conductivity Differences between the Crystalline and Vitrified States of DMSO with Applications to Cryopreservation

Thermal conductivity of dimethyl-sulfoxide (DMSO) solution is measured in this study using a transient hot wire technique, where DMSO is a key ingredient in many cryoprotective agent (CPA) cocktails. Characterization of thermal properties of cryoprotective agents is essential to the analysis of cryopreservation processes, either when evaluating experimental data or for the design of new protocols. Also presented are reference measurements of thermal conductivity for pure water ice and glycerol. The thermal conductivity measurement setup is integrated into the experimentation stage of a scanning cryomacroscope apparatus, which facilitates the correlation of measured data with visualization of physical events. Thermal conductivity measurements were conducted for a DMSO concentration range of 2M and 10M, in a temperature range of -180°C and 25°C. Vitrified samples showed decreased thermal conductivity with decreasing temperature, while crystalline samples showed increased thermal conductivity with decreasing temperature. These different behaviors result in up to a tenfold difference in thermal conductivity at -180°C. Such dramatic differences can drastically impact heat transfer during cryopreservation and their quantification is therefore critical to cryobiology.     

PVP contrasted with dextran and a multifactor theory of cryoprotection

Washed human erythrocytes were suspended in 0, 5, 10, 15, and 20% PVP in phosphate-buffered saline (PBS). Fifty lambda samples were frozen in alcohol baths at temperatures ranging from ?10 ° to ?80 °C. The specimens were frozen either for 1 or 16 min, rapidly thawed, and resuspended in PBS or PBS plus PVP. Percent hemolysis was determined colorimetrically. Results indicate that there is a high degree of latent damage when red cells are frozen in the presence of PVP. This damage is evident from the large increase in hemolysis when freeze-thawed, intact red cells are resuspended in the PBS. Under some circumstances 16 min freezing is significantly less damaging than 1 min freezing. This indicates a partial recovery from the freezing stress during subzero storage of the red cells.The general cryoprotective properties of PVP were described in terms of: (1) latent damage; (2) storage damage; (3) optimal cooling and rewarming rates (as a function of freezing bath temperature); (4) optimum PVP concentration; and (5) post-thaw cryoprotection. The data were compared with that from a similar study using dextran-40. This comparison indicated six similarities and ten differences in the cryoprotective properties of dextran and PVP. The remarkable differences between dextran and PVP was counted as an important common characteristics of macromolecular cryoprotective agents. That is, their cryoproteetive properties cannot be reduced to one or a few physical characteristics held in common. Nine other common characteristics were listed. Several of these, which include latent damage and recovery from latent damage, cannot be explained by current theories of cryoprotection. A multifactor theory was proposed to account for these ten common features of macromolecular cryoprotective agents.     

Devitrification and recrystallization of nanoparticle-containing glycerol and PEG-600 solutions

Nanoparticles in solution offer unique electrical, mechanical and thermal properties due to their physical presence and interaction with the state of dispersion. This work is aimed to study the effects of hydroxyapatite (HA) nanoparticles on the devitrification and recrystallization events of two important cryoprotective solutions used in cell and tissue preservation namely glycerol (60% w/w) and PEG-600 (50% w/w). HA nanoparticles (20, 40 or 60 nm) were incorporated into solutions at the content of 0.1% or 0.5% (w/w), and were studied by differential scanning calorimeter (DSC) and cryomicroscopy. The presence of nanoparticles does not change the glass transition temperatures and melting temperatures of quenched solutions, but significantly affects the behavior of devitrification and recrystallization upon warming. Cryomicroscopic investigation showed the complex interactions among solution type, nanoparticle size and nanoparticle content, which apparently influence ice crystal growth or recrystallization in the quenched dispersions. These findings have significant implications for biomaterial cryopreservation, cryosurgery, and food manufacturing. The complexity of ice crystal growth kinetics in nanoparticle-containing dispersions remains to be poorly understood at the moment.     

Determination of thermal properties of composting bulking materials

Thermal properties of compost bulking materials affect temperature and biodegradation during the composting process. Well determined thermal properties of compost feedstocks will therefore contribute to practical thermodynamic approaches. Thermal conductivity, thermal diffusivity, and volumetric heat capacity of 12 compost bulking materials were determined in this study. Thermal properties were determined at varying bulk densities (1, 1.3, 1.7, 2.5, and 5 times uncompacted bulk density), particle sizes (ground and bulk), and water contents (0, 20, 50, 80% of water holding capacity and saturated condition). For the water content at 80% of water holding capacity, saw dust, soil compost blend, beef manure, and turkey litter showed the highest thermal conductivity (K) and volumetric heat capacity (C) (K: 0.12–0.81 W/m °C and C: 1.36–4.08 MJ/m³ °C). Silage showed medium values at the same water content (K: 0.09–0.47 W/m °C and C: 0.93–3.09 MJ/m³ °C). Wheat straw, oat straw, soybean straw, cornstalks, alfalfa hay, and wood shavings produced the lowest K and C values (K: 0.03–0.30 W/m °C and C: 0.26–3.45 MJ/m³ °C). Thermal conductivity and volumetric heat capacity showed a linear relationship with moisture content and bulk density, while thermal diffusivity showed a nonlinear relationship. Since the water, air, and solid materials have their own specific thermal property values, thermal properties of compost bulking materials vary with the rate of those three components by changing water content, bulk density, and particle size. The degree of saturation was used to represent the interaction between volumes of water, air, and solids under the various combinations of moisture content, bulk density, and particle size. The first order regression models developed in this paper represent the relationship between degree of saturation and volumetric heat capacity (r = 0.95–0.99) and thermal conductivity (r = 0.84–0.99) well. Improved knowledge of the thermal properties of compost bulking materials can contribute to improved thermodynamic modeling and heat management of composting processes.     

The mechanism of the cryoprotective effect of glycerol in beetles tolerant to freezing

The mechanism of the cryoprotective effect of glycerol has been studied experimentally on freezetolerant Pytho depressus beetles. The lowest tolerated temperature of the beetles was determined as a function of their pre-freezing glycerol concentration. The temperatures, at which the potentially harmful non-penetrating solutes would reach the injurious level in the frozen body fluid were estimated for solutions with different pre-freezing concentrations of glycerol, assuming a colligative effect of glycerol. The lowest tolerated temperature of the beetles ranged from ?7.5 C for beetles lacking glycerol to ?27 C for beetles having a pre-freezing glycerol concentration of 1500 mmolal in their body fluid. The estimated temperatures fitted these observations almost perfectly. Thus, the results support the view that the cryoprotective effect of glycerol in freeze-tolerant beetles is based on the colligative properties of the substance.     

Measurement of the biophysical properties of porcine adipose-derived stem cells by a microperfusion system

Adipose-derived stem cells (ADSCs), which are an accessible source of adult stem cells with capacities for self-renewal and differentiation into various cell types, have a promising potential in tissue engineering and regenerative medicine strategies. To meet the clinical demand for ADSCs, cryopreservation has been applied for long-term ADSC preservation. To optimize the addition, removal, freezing, and thawing of cryoprotective agents (CPAs) applied to ADSCs, we measured the transport properties of porcine ADSCs (pADSCs). The cell responses of pADSCs to hypertonic phosphate-buffered saline and common CPAs, dimethyl sulfoxide, ethylene glycol, and glycerol were measured by a microperfusion system at temperatures of 28, 18, 8, and −2 °C. We determined the osmotically inactive cell volume (V_b), hydraulic conductivity (L_p), and CPA permeability (P_s) at various temperatures in a two-parameter model. Then, we quantitatively analyzed the effect of temperature on the transport properties of the pADSC membrane. Biophysical parameters were used to optimize CPA addition, removal, and freezing processes to minimize excessive shrinkage of pADSCs during cryopreservation. The biophysical properties of pADSCs have a great potential for effective optimization of cryopreservation procedures.     

Biological interactions between cell membranes and glycerol or DMSO.

Human erythrocytes washed with phosphate buffered saline (PBS) were frozen for 1 or 16 min at temperatures ranging from ?10 to ?80 °C. Red cell suspensions contained either no protective agent or various concentrations of dimethylsulfoxide (DMSO) or glycerol. The similarities between cryoprotection by DMSO and glycerol reinforce Rapatz and Luyet's classification of cryoprotective agents into three types and support Mazur's two-factor theory of cryoprotection. However, there are important differences between the cryoprotective effects of DMSO and glycerol. The most noteworthy is that for all concentrations of DMSO a 16-min freezing exposure was equal to or more damaging than a 1-min exposure; the converse was true for 11.8 and 17.7% glycerol solutions. This and other differences suggest that the general mechanism of freeze-thaw damage and cryoprotection is more complex than described by Mazur's two-factor theory. Likewise cryoprotective agents cannot be consistently classified into two or three types. A multifactor theory was suggested as a more extensive model for understanding freeze-thaw damage and cryoprotection. The major new contribution of this theory is the idea of biological interaction. This latter refers to solutes in conjunction with various factors which disturb the steady state of the cell membrane. The change in the membrane may be reversible or irreversible depending upon the circumstances.     

Calorimetric measurement of water transport and intracellular ice formation during freezing in cell suspensions

The current study presents a new and novel analysis of heat release signatures measured by a differential scanning calorimeter (DSC) associated with water transport (WT), intracellular ice formation (IIF) and extracellular ice formation (EIF). Correlative cryomicroscopy experiments were also performed to validate the DSC data. The DSC and cryomicroscopy experiments were performed on human dermal fibroblast cells (HDFs) at various cytocrit values (0–0.8) at various cooling rates (0.5–250 °C/min). A comparison of the cryomicroscopy experiments with the DSC analysis show reasonable agreement in the water transport (cellular dehydration) and IIF characteristics between both the techniques with the caveat that IIF measured by DSC lagged that measured by cryomicroscopy. This was ascribed to differences in the techniques (i.e. cell vs. bulk measurement) and the possibility that not all IIF is associated with visual darkening. High and low rates of 0.5 °C/min and 250 °C/min were chosen as HDFs did not exhibit significant IIF or WT at each of these extremes respectively. Analysis of post-thaw viability data suggested that 10 °C/min was the presumptive optimal cooling rate for HDFs and was independent of the cytocrit value. The ratio of measured heat values associated with IIF (q_IIF) to the total heat released from both IIF and water transport or from the total cell water content in the sample (q_CW) was also found to increase as the cooling rate was increased from 10 to 250 °C/min and was independent of the sample cytocrit value. Taken together, these observations suggest that the proposed analysis is capable of deconvolving water transport and IIF data from the measured DSC latent heat thermograms in cell suspensions during freezing.     

Freezing of isolated thylakoid membranes in complex media. VIII. Differential cryoprotection by sucrose, proline and glycerol

The cryoprotective efficiency of sucrose, proline and glycerol for chloroplast membranes isolated from spinach leaves ( Spinacia oleracea L. cv. Monatol) was determined after freeze-thaw treatment in media containing the predominant inorganic electrolytes of the chloroplast stroma. In most cases, the protective capacity of equimolar concentrations of the cryoprotectants followed the order sucrose > proline > glycerol. The lower the freezing temperature the less cryoprotectant was necessary for comparable preservation of the capacity of photosynthetic electron transport. Likewise, the cryoprotective efficiency of sucrose for cyclic photophosphorylation and light-induced proton gradient increased with decreasing freezing temperature. In contrast, while proline effectively stabilized these membrane reactions at mild and moderate freezing temperatures, it was much less efficient at more severe freezing stress. Cryoprotection of photophosphorylation and proton gradient formation at given initial concentrations of glycerol was largely independent of the freezing temperature. While dissociation of the peripheral part of chloroplast coupling factor (CF₁) during freeze-thaw treatment cannot be prevented in the presence of lower initial concentrations of proline and glycerol and. at mild freezing temperatures, of sucrose, the latter may stabilize this protein complex at least under more severe freezing conditions. The differences in the cryoprotective efficiency of the solutes are discussed relative to their non-ideal activity-concentration profiles, solution properties and penetration behaviour across the thylakoid membrane.     

A cryoprotective and cold-adapted 1,3-β-endoglucanase from cherimoya (Annona cherimola) fruit

A 1,3-β-glucanase with potent cryoprotective activity was purified to homogeneity from the mesocarp of CO₂-treated cherimoya fruit (Annona cherimola Mill.) stored at low temperature using anion exchange and chromatofocusing chromatography. This protein was characterized as a glycosylated endo-1,3-β-glucanase with a M_r of 22.07 kDa and a pI of 5.25. The hydrolase was active and stable in a broad acidic pH range and it exhibited maximum activity at pH 5.0. It had a low optimum temperature of 35 °C and it retained 40% maximum activity at 5 °C. The purified 1,3-β-glucanase was relatively heat unstable and its activity declined progressively at temperatures above 50 °C. Kinetic studies revealed low k_cat (3.10 ± 0.04 s⁻¹) and K_m (0.32 ± 0.03 mg ml⁻¹) values, reflecting the intermediate efficiency of the protein in hydrolyzing laminarin. Moreover, a thermodynamic characterization revealed that the purified enzyme displayed a high k_cat at both 37 and 5 °C, and a low E_a (6.99 kJ mol⁻¹) within this range of temperatures. In vitro functional studies indicated that the purified 1,3-β-glucanase had no inhibitory effects on Botrytis cinerea hyphal growth and no antifreeze activity, as determined by thermal hysteresis analysis using differential scanning calorimetry. However, a strong cryoprotective activity was observed against freeze-thaw inactivation of lactate dehydrogenase. Indeed, the PD₅₀ was 8.7 μg ml⁻¹ (394 nM), 9.2-fold higher (3.1 on a molar basis) than that of the cryoprotective protein BSA. Together with the observed accumulation of glycine-betaine in CO₂-treated cherimoya tissues, these results suggest that 1,3-β-glucanase could be functionally implicated in low temperature-defense mechanism activated by CO₂.     

Impacts of trehalose and l-proline on the thermodynamic nonequilibrium phase change and thermal properties of normal saline

Understanding the phase change behavior and thermal properties of cryoprotective agents (CPAs) in biological solutions is essential for enhancing the success of cryopreservation and biobanking. In this study, the phase change behavior and thermal properties of normal saline added with trehalose or l-proline were investigated using differential scanning calorimeter (DSC) and cryomicroscope during freezing and warming. The addition of trehalose or l-proline can eliminate the eutectic formation in normal saline. Trehalose had significantly lower latent heat release than l-proline does at a high concentration of 1 M (P < 0.05), while unfrozen water content of trehalose is significantly lower than that of l-proline at all the concentrations (P < 0.05). It was also found that addition of 0.2 M, 0.3 M and 1 M trehalose can achieve partial vitrification in normal saline and that the glass transition temperature rises along with the increase in concentrations of trehalose. However, no vitrification was observed in normal saline with l-proline at any concentrations. Besides, rates of ice crystal growth in normal saline added with trehalose are slower than those in normal saline with l-proline at the same concentrations. These results suggest that both trehalose and l-proline can act as CPAs by avoiding eutectic formation and inhibiting ice formation in normal saline for cell cryopreservation. It could be useful for CPA selection and designing in the future.     

A novel method for measuring the thermal conductivity of organisms

Based on the theories of tissue optics and artificial neural network, the relationship between the optical properties and biological parameters was studied, and a new experimental method was derived. The properties of the organism were obtained indirectly by a black-box model derived by self-study of the artificial neural network between optical parameters and thermo-physical properties without using the heat transfer equation. In this method, the energy of light in diffuse radiation, diffuse transmission and collimated transmission was absorbed by a dual-integrating sphere experimental system of a spectrometer, and the spectrogram of the energy was obtained. Combining these spectral data of the energy, the diffuse-reflecting power, the diffuse transmissivity and the collimated transmissivity were calculated. The calculated results were taken as the input parameters of a black-box model. The experimental results show that there are apparent differences between the spectrogram of the energy on the diffuse radiation, the diffuse transmission and the collimated transmission of different matters, while there is a little difference in the same matter. Each spectrogram has its own characteristic. The values of the four thermal properties including the density, the constant pressure specific heat, the thermal diffusivity and the viscosity were calculated using the black-box model. Compared with the real values the calculated one has an average relative error between −5% and 5%. The conductivity of the tongue is 0.68 W/(m K) that calculated from the value of the density, the constant pressure specific heat and the thermal diffusivity. The results also show that there is a little difference on the conductivities in the longitudinal cross-section and the transverse section, but the effect of temperature on the conductivity of the tongue is not apparent. The difference implies the anisotropy of the properties of the organism, which cannot be easily obtained by a conventional experimental method.     

Peculiarities of state diagrams of aqueous solutions of cryoprotective agents

The phase transitions in aqueous solutions of glycerol and PEO-1500 within the temperature range of +30 to −150 °C have been studied using the methods of thermoplastic analysis and volumetric scanning tensodilatometry. We present the revealed phenomenon of cluster cyrystallization of these solutions as well as principles of describing this phenomenon using state diagrams, containing the intervals of concentration corresponding to the existence of amorphous and cryocolloid fractions. We note that for the cryocolloid fraction, a low temperature association of molecules of cryoprotective agents leads the formation of ice nanocrystals either close to or directly inside the aggregations. These fractions exist in cooled cryoprotective solutions near the vitrification temperatures of the liquid phase and may contribute to the initiation of damaging events in cryopreserved biological systems. Our data may be helpful in explaining the peculiarities observed during crystallization of cryoprotective solutions and may further contribute to a broader understanding of the principles of protection and protocol optimization of biological materials at temperatures approaching vitrification.     

Stabilization of Na,K-ATPase by ionic interactions

The effect of ions on the thermostability and unfolding of Na,K-ATPase from shark salt gland was studied and compared with that of Na,K-ATPase from pig kidney by using differential scanning calorimetry (DSC) and activity assays. In 1 mM histidine at pH 7, the shark enzyme inactivates rapidly at 20 °C, as does the kidney enzyme at 42 °C (but not at 20 °C). Increasing ionic strength by addition of 20 mM histidine, or of 1 mM NaCl or KCl, protects both enzymes against this rapid inactivation. As detected by DSC, the shark enzyme undergoes thermal unfolding at lower temperature (T_m ≈ 45 °C) than does the kidney enzyme (T_m ≈ 55 °C). Both calorimetric endotherms indicate multi-step unfolding, probably associated with different cooperative domains. Whereas the overall heat of unfolding is similar for the kidney enzyme in either 1 mM or 20 mM histidine, components with high mid-point temperatures are lost from the unfolding transition of the shark enzyme in 1 mM histidine, relative to that in 20 mM histidine. This is attributed to partial unfolding of the enzyme due to a high hydrostatic pressure during centrifugation of DSC samples at low ionic strength, which correlates with inactivation measurements. Addition of 10 mM NaCl to shark enzyme in 1 mM histidine protects against inactivation during centrifugation of the DSC sample, but incubation for 1 h at 20 °C prior to addition of NaCl results in loss of components with lower mid-point temperatures within the unfolding transition. Cations at millimolar concentration therefore afford at least two distinct modes of stabilization, likely affecting separate cooperative domains. The different thermal stabilities and denaturation temperatures of the two Na,K-ATPases correlate with the respective physiological temperatures, and may be attributed to the different lipid environments.     

Microwave properties of cryoprotectants

The values of the dielectric constant and of the loss tangent for pure samples of DMSO, ethylene glycol, and glycerol were determined over the temperature range of + 15 to −70 °C. An operating frequency range of 1.45 to 1.55 GHz was used, allowing direct application of the results of both 0.915 and 2.450 GHz studies. Strong temperature dependencies were found, with peaks and irregularities occuring at subfreezing temperatures. In order to design a suitable cryoprotective system for the long term preservation of whole organs, the effect of cryoprotectant concentration on microwave properties must be known.     

A novel approach to improve the efficacy of tumour ablation during cryosurgery

Freezing tumours and ablating it using cryosurgery is becoming a popular surgical procedure for treatment of carcinomas. In order to improve the efficiency of the cryosurgical procedure different approaches have been implemented till now, e.g., injecting high thermal conductivity fluid inside the tumour, low latent heat fluids inside the tumour prior to cryosurgery etc. These techniques improve the cryosurgical process to some extent but lack in minimising the damage to the surrounding healthy tissues. In this study, a novel concept is proposed which advocates the use of solutions with specific thermophysical properties around the interface of tumour. Numerical modelling has been done to determine the location of the ice fronts in the presence of this solution around the boundary of the tumour. It is noticed that in the presence of solution layer, owing to its distinct thermophysical properties like low thermal conductivity, not only the cellular destruction is enhanced but also the damage to the surrounding healthy tissue is minimised. Further, results indicate that this strategy leads to a faster ablation rate reducing the surgical time immensely. Also, an optimal offset, the minimum distance between the tip of cryoprobe and the boundary of the tumour, is identified for a given tumour radius with a given active length which gives maximum tumour necrosis in less time. This optimal offset which has been identified for each case will help the surgeons in proper planning of cryosurgery and improving the effectiveness of this technique greatly, making it a better treatment modality than its counterparts in many ways. It is also observed that for a 2 mm increase in activelength of the cryoprobe, the decrease in optimal offset is approximately 1 mm, i.e. optimal offset decreases linearly with an increase in the activelength for a given radius of the tumour. Also, for tumour with different radii, ranging between 10 mm to 15 mm, with same active length, the time taken for complete ablation by the larger tumour is nearly 2.7 times the time taken by the smaller one for every 2.5 mm increase in the tumour radius.     

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

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

Etherification of biodiesel-derived glycerol with ethanol for fuel formulation over sulfonic modified catalysts

The present study is focused on the etherification of biodiesel-derived glycerol with anhydrous ethanol over arenesulfonic acid-functionalized mesostructured silicas to produce ethyl ethers of glycerol that can be used as gasoline or diesel fuel biocomponents. Within the studied range, the best conditions to maximize glycerol conversion and yield towards ethyl-glycerols are: T = 200 °C, ethanol/glycerol molar ratio = 15/1, and catalyst loading = 19 wt%. Under these reaction conditions, 74% glycerol conversion and 42% yield to ethyl ethers have been achieved after 4 h of reaction but with a significant presence of glycerol by-products. In contrast, lower reaction temperatures (T = 160 °C) and moderate catalyst loading (14 wt%) in presence of a high ethanol concentration (ethanol/glycerol molar ratio = 15/1) are necessary to avoid the formation of glycerol by-products and maximize ethyl-glycerols selectivity. Interestingly, a close catalytic performance to that achieved using high purity glycerol has been obtained with low-grade water-containing glycerol.