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High-Speed Video Cryomicroscopy for Measurement of Intracellular Ice Formation Kinetics. Methods Mol Biol 2020. [PMID: 32797414 DOI: 10.1007/978-1-0716-0783-1_8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/10/2023]
Abstract
Quantitative information about the kinetics and cumulative probability of intracellular ice formation is necessary to develop minimally damaging freezing procedures for the cryopreservation of cells and tissues. Conventional cryomicroscopic assays, which rely on indirect evidence of intracellular freezing (e.g., opacity changes in the cell cytoplasm), can yield significant errors in the estimated kinetics. In contrast, the formation and growth of intracellular ice crystals can be accurately detected using temporally resolved imaging methods (i.e., video recording at sub-millisecond resolution). Here, detailed methods for the setup and operation of a high-speed video cryomicroscope system are described, including protocols for imaging of intracellular ice crystallization events and stochastic analysis of the ice formation kinetics in a cell population. Recommendations are provided for temperature profile design, sample preparation, and configuration of the video acquisition parameters. Throughout this chapter, the protocols incorporate best practices that have been drawn from two decades of experience with high-speed video cryomicroscopy in our laboratory.
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2
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Corral A, López R, Balcerzyk M, Parrado-Gallego Á, Fernández-Gómez I, Olmo A, Risco R. Use of X-Ray Computed Tomography for Ice Detection Applied to Organ Cryopreservation. Biopreserv Biobank 2018; 17:119-128. [PMID: 30489143 DOI: 10.1089/bio.2018.0092] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
One of the main problems in the cryopreservation of biological samples is the formation of ice and the consequent mechanical damage to cells and tissues, due to the crystalline structure of ice and its associated mechanical damage. It is necessary to detect this deleterious formation of ice, especially in tissues and organs, because of their large volume and the complexity of their vascular system in the case of bulky organs. In this work, we propose the use of X-ray Computed Tomography (CT) to detect this ice formation inside tissues and organs. To achieve this aim, rabbit kidneys were loaded with cryoprotectant solutions containing Me2SO at low temperatures (below -140°C). Drops of water with a volume between 2 and 8 μL were then introduced inside the organs. Finally, the rabbit kidneys were cooled to -196°C. Volumes of ice of up to 1 μL were detected in our CT device, with a resolution of up to 50 μm, validating the proposed technology. On the contrary, we analyzed bovine ovarian tissues cryopreserved with a controlled-rate slow-cooling protocol. CT images showed the different structure on the extracellular ice formation according to the procedure, and even the intracellular ice that can be formed in the tissues. These positive results have a straightforward application in the control of the formation of ice, of significant importance for the creation of biobanks.
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Affiliation(s)
- Ariadna Corral
- 1 Centro Nacional de Aceleradores (Universidad de Sevilla-CSIC-Junta de Andalucía), Sevilla, Spain
| | - Reyes López
- 2 Departamento de Física Aplicada III, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Sevilla, Spain
| | - Marcin Balcerzyk
- 1 Centro Nacional de Aceleradores (Universidad de Sevilla-CSIC-Junta de Andalucía), Sevilla, Spain
| | - Ángel Parrado-Gallego
- 1 Centro Nacional de Aceleradores (Universidad de Sevilla-CSIC-Junta de Andalucía), Sevilla, Spain
| | - Isabel Fernández-Gómez
- 1 Centro Nacional de Aceleradores (Universidad de Sevilla-CSIC-Junta de Andalucía), Sevilla, Spain
| | - Alberto Olmo
- 3 Instituto de Microelectrónica de Sevilla, IMSE, CNM (CSIC, Universidad de Sevilla), Sevilla, Spain.,4 Escuela Técnica Superior de Ingeniería Informática, Departamento de Tecnología Electrónica, Universidad de Sevilla, Sevilla, Spain
| | - Ramón Risco
- 1 Centro Nacional de Aceleradores (Universidad de Sevilla-CSIC-Junta de Andalucía), Sevilla, Spain.,2 Departamento de Física Aplicada III, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Sevilla, Spain
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3
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Liu X, Zhao G, Shu Z, Niu D, Zhang Z, Zhou P, Cao Y, Gao D. Quantification of Intracellular Ice Formation and Recrystallization During Freeze–Thaw Cycles and Their Relationship with the Viability of Pig Iliac Endothelium Cells. Biopreserv Biobank 2016; 14:511-519. [PMID: 27532801 DOI: 10.1089/bio.2015.0111] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022] Open
Affiliation(s)
- Xiaoli Liu
- Centre for Biomedical Engineering, Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, China
| | - Gang Zhao
- Centre for Biomedical Engineering, Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, China
- Anhui Provincial Engineering Technology Research Center for Biopreservation and Artificial Organs, Hefei, China
| | - Zhiquan Shu
- Department of Mechanical Engineering, University of Washington, Seattle, Washington
| | - Dan Niu
- Centre for Biomedical Engineering, Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, China
| | - Zhiguo Zhang
- Centre for Biomedical Engineering, Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, China
- Center for Reproductive Medicine, The Affiliated Hospital of Anhui Medical University, Hefei, China
| | - Ping Zhou
- Center for Reproductive Medicine, The Affiliated Hospital of Anhui Medical University, Hefei, China
| | - Yunxia Cao
- Center for Reproductive Medicine, The Affiliated Hospital of Anhui Medical University, Hefei, China
| | - Dayong Gao
- Anhui Provincial Engineering Technology Research Center for Biopreservation and Artificial Organs, Hefei, China
- Department of Mechanical Engineering, University of Washington, Seattle, Washington
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4
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Aslanidi KB. Spectral measurements of the functional heterogeneity of cells and their organelles. Biophysics (Nagoya-shi) 2015. [DOI: 10.1134/s0006350915010030] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022] Open
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5
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Measurement of intracellular ice formation kinetics by high-speed video cryomicroscopy. Methods Mol Biol 2015; 1257:181-227. [PMID: 25428007 DOI: 10.1007/978-1-4939-2193-5_7] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
Quantitative information about the kinetics and cumulative probability of intracellular ice formation is necessary to develop minimally damaging freezing procedures for the cryopreservation of cells and tissue. Conventional cryomicroscopic assays, which rely on indirect evidence of intracellular freezing (e.g., opacity changes in the cell cytoplasm), can yield significant errors in the estimated kinetics. In contrast, the formation and growth of intracellular ice crystals can be accurately detected using temporally resolved imaging methods (i.e., video recording at sub-millisecond resolution). Here, detailed methods for the setup and operation of a high-speed video cryomicroscope system are described, including protocols for imaging of intracellular ice crystallization events, and stochastic analysis of the ice formation kinetics in a cell population. Recommendations are provided for temperature profile design, sample preparation, and configuration of the video acquisition parameters. Throughout this chapter, the protocols incorporate best practices that have been drawn from over a decade of experience with high-speed video cryomicroscopy in our laboratory.
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6
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Yi J, Liang XM, Zhao G, He X. An improved model for nucleation-limited ice formation in living cells during freezing. PLoS One 2014; 9:e98132. [PMID: 24852166 PMCID: PMC4031135 DOI: 10.1371/journal.pone.0098132] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2014] [Accepted: 04/28/2014] [Indexed: 11/19/2022] Open
Abstract
Ice formation in living cells is a lethal event during freezing and its characterization is important to the development of optimal protocols for not only cryopreservation but also cryotherapy applications. Although the model for probability of ice formation (PIF) in cells developed by Toner et al. has been widely used to predict nucleation-limited intracellular ice formation (IIF), our data of freezing Hela cells suggest that this model could give misleading prediction of PIF when the maximum PIF in cells during freezing is less than 1 (PIF ranges from 0 to 1). We introduce a new model to overcome this problem by incorporating a critical cell volume to modify the Toner's original model. We further reveal that this critical cell volume is dependent on the mechanisms of ice nucleation in cells during freezing, i.e., surface-catalyzed nucleation (SCN) and volume-catalyzed nucleation (VCN). Taken together, the improved PIF model may be valuable for better understanding of the mechanisms of ice nucleation in cells during freezing and more accurate prediction of PIF for cryopreservation and cryotherapy applications.
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Affiliation(s)
- Jingru Yi
- Centre for Biomedical Engineering, Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, Anhui, China
| | - Xin M. Liang
- Centre for Biomedical Engineering, Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, Anhui, China
- Department of Mechanical Engineering, University of Washington, Seattle, Washington, United States of America
| | - Gang Zhao
- Centre for Biomedical Engineering, Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, Anhui, China
- * E-mail: (GZ); (XH)
| | - Xiaoming He
- Department of Biomedical Engineering, The Ohio State University, Columbus, Ohio, United States of America
- * E-mail: (GZ); (XH)
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7
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Yang G, Zhang A, Xu LX. Intracellular ice formation and growth in MCF-7 cancer cells. Cryobiology 2011; 63:38-45. [PMID: 21536022 DOI: 10.1016/j.cryobiol.2011.04.007] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2010] [Revised: 03/15/2011] [Accepted: 04/13/2011] [Indexed: 12/11/2022]
Affiliation(s)
- Geer Yang
- School of Biomedical Engineering, Shanghai Jiao Tong University, PR China
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Fadda S, Cincotti A, Cao G. Rationalizing the equilibration and cooling stages of cryopreservation: The effect of cell size distribution. AIChE J 2010. [DOI: 10.1002/aic.12320] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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9
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Visualization of intracellular ice formation using high-speed video cryomicroscopy. Cryobiology 2008; 58:84-95. [PMID: 19041300 DOI: 10.1016/j.cryobiol.2008.11.003] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/05/2008] [Accepted: 11/05/2008] [Indexed: 10/21/2022]
Abstract
A high-speed video cryomicroscopy system was developed, and used to observe the process of intracellular ice formation (IIF) during rapid freezing (130 degrees C/min) of bovine pulmonary artery endothelial cells adherent to glass substrates, or in suspension. Adherent cells were micropatterned, constraining cell attachment to reproducible circular or rectangular domains. Employing frame rates of 8000 frames/s and 16,000 frames/s to record IIF in micropatterned and suspended cells, respectively, intracellular crystal growth manifested as a single advancing front that initiated from a point source within the cell, and traveled at velocities of 0.0006-0.023 m/s. Whereas this primary crystallization process resulted in minimal change in cell opacity, the well-known flashing phenomenon (i.e., cell darkening) was shown to be a secondary event that does not occur until after the ice front has traversed the cell. In cells that were attached and spread on a substrate, IIF initiation sites were preferentially localized to the peripheral zone of the adherent cells. This non-uniformity in the spatial distribution of crystal centers contradicts predictions based on common theories of IIF, and provides evidence for a novel mechanism of IIF in adherent cells. A second IIF mechanism was evident in approximately 20% of attached cells. In these cases, IIF was preceded by paracellular ice penetration; the initiation site of the subsequent IIF event was correlated with the location of the paracellular ice dendrite, indicating an association (and possibly a causal relationship) between the two. Together, the peripheral-zone and dendrite-associated initiation mechanisms accounted for 97% of IIF events in micropatterned cells.
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Salinas-Flores L, Adams SL, Wharton DA, Downes MF, Lim MH. Survival of Pacific oyster, Crassostrea gigas, oocytes in relation to intracellular ice formation. Cryobiology 2007; 56:28-35. [PMID: 18045585 DOI: 10.1016/j.cryobiol.2007.10.172] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2007] [Revised: 10/09/2007] [Accepted: 10/12/2007] [Indexed: 11/29/2022]
Abstract
The effect of IIF in Pacific oyster oocytes was studied using cryo and transmission electron microscopy (TEM). The viability of oocytes at each step of a published cryopreservation protocol was assessed in an initial experiment. Two major viability losses were identified; one when oocytes were cooled to -35 degrees C and the other when oocytes were plunged in liquid nitrogen. Although the cryomicroscope showed no evidence of IIF in oocytes cooled with this protocol, TEM revealed that these oocytes contained ice crystals and were at two developmental stages when frozen, prophase and metaphase I. To reduce IIF, the effect of seven cooling programmes involving cooling to -35 or -60 degrees C at 0.1 or 0.3 degrees C min(-1) and holding for 0 or 30 min at -35 or -60 degrees C was evaluated on post-thaw fertilization rate of oocytes. Regardless of the cooling rate or holding time, the fertilization rate of oocytes cooled to -60 degrees C was significantly lower than that of oocytes cooled to -35 degrees C. The overall results indicated that observations of IIF obtained from cryomicroscopy are limited to detection of larger amounts of ice within the cells. Although the amount of cellular ice may have been reduced by one of the programmes, fertilization was reduced significantly; suggesting that there is no correlation between the presence of intracellular ice and post-thaw fertilization rate. Therefore, oyster oocytes may be more susceptible to the effect of high solute concentrations and cell shrinkage than intracellular ice under the studied conditions.
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Balasubramanian SK, Bischof JC, Hubel A. Water transport and IIF parameters for a connective tissue equivalent. Cryobiology 2006; 52:62-73. [PMID: 16343475 DOI: 10.1016/j.cryobiol.2005.09.009] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2005] [Revised: 08/23/2005] [Accepted: 09/21/2005] [Indexed: 10/25/2022]
Abstract
Understanding the biophysical processes that govern freezing injury of a tissue equivalent (TE) is an important step in characterizing and improving the cryopreservation of these systems. TEs were formed by entrapping human dermal fibroblasts (HDFs) in collagen or in fibrin gels. Freezing studies were conducted using a Linkam cryostage fitted to an optical microscope allowing observation of the TEs cooled under controlled rates between 5 and 130 degrees C/min. Typically, freezing of cellular systems results in two biophysical processes that are both dependent on the cooling rate: dehydration and/or intracellular ice formation (IIF). Both these processes can potentially be destructive to cells. In this study, the biophysics of freezing cells in collagen and fibrin TEs have been quantified and compared to freezing cells in suspension. Experimental data were fitted in numerical models to extract parameters that governed water permeability, E(Lp) and L(pg), and intracellular ice nucleation, omega(o) and kappa(o). Results indicate that major differences exist between freezing HDFs in suspension and in a tissue equivalent. During freezing, 55% of the HDFs in suspension formed IIF as compared to 100% of HDFs forming IIF in collagen and fibrin TE at a cooling rate of 130 degrees C/min. Also, both the water permeability and the IIF parameters were determined to be higher for HDFs in TEs as compared to cell suspensions. Between the TEs, HDFs in fibrin TE exhibited higher values for the biophysical parameters as compared to HDFs in collagen TE. The observed biophysics seems to indicate that cell-cell and cell-matrix interactions play a major role in ice propagation in TEs.
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12
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Harris CL, Toner M, Hubel A, Cravalho EG, Yarmush ML, Tompkins RG. Cryopreservation of isolated hepatocytes: intracellular ice formation under various chemical and physical conditions. Cryobiology 1991; 28:436-44. [PMID: 1752131 DOI: 10.1016/0011-2240(91)90052-p] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
Kinetics of intracellular ice formation (IIF) for isolated rat hepatocytes was studied using a cryomicroscopy system. The effect of the cooling rate on IIF was investigated between 20 and 400 degrees C/min in isotonic solution. At 50 degrees C/min and below, none of the hepatocytes underwent IIF; whereas at 150 degrees C/min and above, IIF was observed throughout the entire hepatocyte population. The temperature at which 50% of hepatocytes showed IIF (50TIIF) was almost constant with an average value of -7.7 degrees C. Different behavior was seen in isothermal subzero holding temperatures in the presence of extracellular ice. 50TIIF from isothermal temperature experiments was approximately -5 degrees C as opposed to -7.7 degrees C for constant cooling rate experiments. These experiments clearly demonstrated both the time and temperature dependence of IIF. On the other hand, in cooling experiments in the absence of extracellular ice, IIF was not observed until approximately -20 degrees C (at which temperature the whole suspension was frozen spontaneously) suggesting the involvement of the external ice in the initiation of IIF. The effect of dimethyl sulfoxide (Me2SO) on IIF was also quantified. 50TIIF decreased from -7.7 degrees C in the absence of Me2SO to -16.8 degrees C in 2.0 M Me2SO for a cooling rate of 400 degrees C/min. However, the cooling rate (between 75 and 400 degrees C/min) did not significantly affect 50TIIF (-8.7 degrees C) in 0.5 M Me2SO. These results suggest that multistep protocols will be required for the cryopreservation of hepatocytes.
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Affiliation(s)
- C L Harris
- Harvard-MIT Division of Health Sciences and Technology, Cambridge 02139
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Toner M, Cravalho EG, Karel M, Armant DR. Cryomicroscopic analysis of intracellular ice formation during freezing of mouse oocytes without cryoadditives. Cryobiology 1991; 28:55-71. [PMID: 2015761 DOI: 10.1016/0011-2240(91)90008-c] [Citation(s) in RCA: 53] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
Kinetics of intracellular ice formation (IIF) under various freezing conditions was investigated for mouse oocytes at metaphase II obtained from B6D2F1 mice. A new cryostage with improved optical performance and "isothermal" temperature field was used for nucleation experiments. The maximum thermal gradient across the window was less than 0.1 degrees C/10 mm at sample temperatures near 0 degrees C. The dependence of IIF on the initial concentration of the suspending medium was found to be pronounced. The mean IIF temperatures were found to be -9.56, -12.49, -17.63, -22.20 degrees C for freezing at 120 degrees C/min in 200, 285, 510, and 735 mosm phosphate-buffered saline, respectively. For concentrations higher than 735 mosm, the kinetics of IIF showed a break point at approximately -31 degrees C. Below -31 degrees C, all the remaining unfrozen oocytes underwent IIF almost immediately over a temperature range of less than 3 degrees C. This dramatic shift in the kinetics of IIF suggests that there were two distinct mechanisms responsible for IIF during freezing. The effect of the cooling rate on the kinetics of IIF was also investigated in isotonic PBS. At 1 degrees C/min none of the oocytes contained ice, whereas, at 5 degrees C/min all the oocytes contained ice. The mean IIF temperatures for cooling rates between 1 and 120 degrees C/min were almost constant with an average of -12.82 +/- 0.6 degrees C (SEM). In addition, constant temperature experiments were conducted in isotonic PBS. The percentages of oocytes with IIF were 0, 50, 60, and 95% for -3.8, -6.4, -7.72, and -8.85 degrees C. In undercooling experiments, IIF was not observed until approximately -20 degrees C (at which temperature the whole suspension was frozen spontaneously), suggesting the involvement of the external ice in the initiation of IIF between approximately -5 and -31 degrees C during freezing of oocytes.
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Affiliation(s)
- M Toner
- Harvard-MIT Division of Health Sciences and Technology, Massachusetts Institute of Technology, Cambridge 02139
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14
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Körber C, Englich S, Rau G. Intracellular ice formation: cryomicroscopical observation and calorimetric measurement. J Microsc 1991; 161:313-25. [PMID: 2038036 DOI: 10.1111/j.1365-2818.1991.tb03092.x] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
The formation of ice crystals within biological cells is generally deleterious and results in a severe loss of cellular viability and function. With the aim of circumventing this lethal event, the mechanisms of nucleation and their dependence on governing parameters such as temperature, cooling rate and solute and/or additive concentration, and the correlation with the osmotically induced water transport across the cell membrane were investigated. Quantitative low-temperature light microscopy was used for this purpose as it offers the major advantage of studying the dynamics of the involved processes. To substantiate further the visual observations of the morphological changes associated with intracellular ice formation, supplementary studies by differential scanning calorimetry (DSC) were performed under comparable conditions to measure the quantity of water actually transformed into the crystalline state due to the evolution of latent heat. Human lymphocytes were used as a biological model cell. In particular it could be shown that the twitching type of intracellular ice formation which is evident but difficult to observe under the cryomicroscope can be attributed to a liquid-solid phase change within the cells as determined by DSC. Good agreement was obtained between the results measured by both techniques with respect to the following dependencies of governing parameters: the fraction of cells exhibiting intracellular ice determined as a function of the cooling rate shows a sharp demarcation zone with an increase from 0 to 100% at about the same threshold cooling rate. On the other hand, the temperatures at which intracellular ice forms were found to be only weakly dependent on the cooling rate. With respect to the effect of cryo-additive concentration at a fixed value of the cooling rate, the crystallization temperatures were seen to decrease with concentration. The DSC results may hence be regarded as a validation of the microscopic observations.
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Affiliation(s)
- C Körber
- Helmholtz-Institut für Biomedizinische Technik an der RWTH Aachen, Germany
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Körber C. Phenomena at the advancing ice-liquid interface: solutes, particles and biological cells. Q Rev Biophys 1988; 21:229-98. [PMID: 3043537 DOI: 10.1017/s0033583500004303] [Citation(s) in RCA: 65] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
Ice formation in aqueous solutions and suspensions involves a number of significant changes and processes in the residual liquid. The resulting effects were described concerning the redistribution of dissolved salts, the behaviour of gaseous solutes and bubble formation, the rejection and entrapment of second-phase particles. This set of conditions is also experienced by biological cells subjected to freezing. The influences of ice formation in that respect and their relevance for cryopreservation were considered as well. A model of transient heat conduction and solute diffusion with a planar ice front, propagating through a system of finite length was found to be in good agreement with measured salt concentration profiles. The spacing of the subsequently developing columnar solidification pattern was of the same order of magnitude as the pertubation wavelengths predicted from the stability criterion. Non-planar solidification of binary salt solutions was described by a pure heat transfer model under the assumption of local thermodynamic equilibrium. The rejection of gaseous solutes and the resulting gas concentration profile ahead of a planar ice front has been estimated by means of a test bubble method, yielding a distribution coefficient of 0.05 for oxygen. The nucleation of gas bubbles has been observed to occur at slightly less than 20-fold supersaturation. The subsequent radial growth of the bubbles obeys a square-root time dependence as expected from a diffusion controlled model until the still expanding bubbles become engulfed by the advancing ice-liquid interface. The maximum bubble radii decrease for increasing ice front velocities. The transition between repulsion and entrapment of spherical latex particles by an advancing planar ice-front has been characterized by a critical value of the velocity of the solidification interface. The critical velocity is inversely proportional to the particle radius as suggested by models assuming an undisturbed ice front. The increase of the critical velocity for increasing thermal gradients shows good agreement with a theoretically predicted square-root type of dependence. Critical velocities have also been measured for yeast and red blood cells. The effect of freezing on biological cells has been analyzed for human lymphocytes and erythrocytes. The reduction of cell volume observed during non-planar freezing agrees reasonably well with shrinkage curves calculated from a water transport model. The probability of intracellular ice formation has been characterized by threshold cooling rates above which the amount of water remaining within the cell is sufficient for crystallization.(ABSTRACT TRUNCATED AT 400 WORDS)
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Affiliation(s)
- C Körber
- Helmholtz-Institut für Biomedizinische Technik, Rheinisch-West fälischen Technischen Hochschule Aachen, West-Germany
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