Deep Undercooling in Woody Taxa Growing North of the -40 degrees C Isotherm

The freezing of deep undercooled water in cold-hardened 3-year-old stems of 16 woody taxa was studied in mid-January by differential thermal analysis. The initiation temperature and the size of the low temperature exotherm (LTE) were compared for nonthawed, thawed, and freeze-killed stems. In general, the initiation temperature of the LTE for nonthawed stems occurred at a lower temperature than for thawed stems and freeze-killed stems. In some cases, no LTE was detected in nonthawed stems although a LTE was detected after thawing. The size of the LTE increased after thawing the stem and also after the stem was freeze killed. The LTE observed in one species disappeared upon exposure to continuous low sub-zero temperatures. Results suggest that undercooling which subsequently results in the LTE in woody stems is due to the cell wall and the plasma membrane. During periods of prolonged freezing, cellular water migrates from the cells which undercool to extracellular ice. This results in a concentration of cell solutes which lowers the homogeneous nucleation temperature of the cell sap. The cold hardiness of nonthawed and thawed stems was compared by a controlled freeze test. In general, thawing had little effect on the survival temperature whereas it had a marked effect on the initiation of the LTE.     

Deep supercooling enabled by surface impregnation with lipophilic substances explains the survival of overwintering buds at extreme freezing

The frost survival mechanism of vegetative buds of angiosperms was suggested to be extracellular freezing causing dehydration, elevated osmotic potential to prevent freezing. However, extreme dehydration would be needed to avoid freezing at the temperatures down to ?45°C encountered by many trees. Buds of Alnus alnobetula, in common with other frost hardy angiosperms, excrete a lipophilic substance, whose functional role remains unclear. Freezing of buds was studied by infrared thermography, psychrometry, and cryomicroscopy. Buds of A. alnobetula did not survive by extracellular ice tolerance but by deep supercooling, down to ?45°C. An internal ice barrier prevented ice penetration from the frozen stem into the bud. Cryomicroscopy revealed a new freezing mechanism. Until now, supercooled buds lost water towards ice masses that form in the subtending stem and/or bud scales. In A. alnobetula, ice forms harmlessly inside the bud between the supercooled leaves. This would immediately trigger intracellular freezing and kill the supercooled bud in other species. In A. alnobetula, lipophilic substances (triterpenoids and flavonoid aglycones) impregnate the surface of bud leaves. These prevent extrinsic ice nucleation so allowing supercooling. This suggests a means to protect forestry and agricultural crops from extrinsic ice nucleation allowing transient supercooling during night frosts.     

Ice formation and tissue response in apple twigs

Abstract. The response of apple twig tissue to a freezing stress was examined using a combination of low temperature scanning electron microscopy and freeze substitution techniques. Bark and wood tissues responded differently. In the bark, large extracellular ice crystals were observed in the cortex. The adjacent cortical cells collapsed and a large reduction in cell volume was observed. The extent of cell collapse throughout the bark was not uniform. Cells in the periderm, phloem and cambium exhibited little change in cell volume compared to cortical cells. Large extracellular ice crystals were not observed in the xylem or pith tissues. The xylem ray parenchyma and pith cells did not collapse in response to a freezing stress, but retained their original shape. The pattern of ice formation and cell response was not observed to change with season or the level of cold acclimation. This study supported the concept that bark and xylem tissues exhibit contrasting freezing behaviour. The observations were consistent with the idea that water in bark freezes extracellularly while water in xylem ray parenchyma and pith cells may supercool to temperatures approaching –40 °C prior to freezing intracellularly.     

Characterization of an 80-kDa dehydrin-like protein in barley responsive to cold acclimation

Barley ( Hordeum vulgare L.) exposed to low temperature increases its freezing tolerance. This increase has been associated with several metabolic changes caused by low temperature, including expression of dehydrins (DHN), a family of proteins induced by dehydration and cold acclimation. DHNs play an undetermined role in dehydration responses during freezing. We have studied the accumulation of an 80-kDa DHN-like protein (P-80) in barley under cold acclimation 6/4°C (day/night), postulating that it is localized in tissues where primary ice nucleation occurs. P-80 was absent in nonacclimated plants and was detectable after 48 h of cold acclimation, reaching a stable level after 6 days. P-80 decreased when plants were returned to 20–25°C. Drought, ABA and high temperature did not increase the levels of P-80, suggesting that its expression could be specifically regulated by cold. Immunolocalization by tissue printing and fresh cross sections of leaves showed the protein to be associated with vascular tissues and epidermis. The localization of P-80 is consistent with our hypothesis because vascular tissue and the epidermis are preferential ice nucleation zones during the onset of freezing. The differential accumulation of P-80 may have an adaptive value by participating in tolerance mechanisms during freeze-induced dehydration.     

Freezing avoidance by supercooling in Olea europaea cultivars: the role of apoplastic water,solute content and cell wall rigidity

Plants can avoid freezing damage by preventing extracellular ice formation below the equilibrium freezing temperature (supercooling). We used Olea europaea cultivars to assess which traits contribute to avoid ice nucleation at sub‐zero temperatures. Seasonal leaf water relations, non‐structural carbohydrates, nitrogen and tissue damage and ice nucleation temperatures in different plant parts were determined in five cultivars growing in the Patagonian cold desert. Ice seeding in roots occurred at higher temperatures than in stems and leaves. Leaves of cold acclimated cultivars supercooled down to ?13 °C, substantially lower than the minimum air temperatures observed in the study site. During winter, leaf ice nucleation and leaf freezing damage (LT₅₀) occurred at similar temperatures, typical of plant tissues that supercool. Higher leaf density and cell wall rigidity were observed during winter, consistent with a substantial acclimation to sub‐zero temperatures. Larger supercooling capacity and lower LT₅₀ were observed in cold‐acclimated cultivars with higher osmotically active solute content, higher tissue elastic adjustments and lower apoplastic water. Irreversible leaf damage was only observed in laboratory experiments at very low temperatures, but not in the field. A comparative analysis of closely related plants avoids phylogenetic independence bias in a comparative study of adaptations to survive low temperatures.     

Development, distribution, and characteristics of intrinsic, nonbacterial ice nuclei in prunus wood

Ice nuclei active at approximately −2°C and intrinsic to woody tissues of Prunus spp. were shown to have properties distinct from bacterial ice nuclei. Soaking 5-centimeter peach stem sections in water for 4 hours lowered the mean ice nucleation temperature to below −4°C, nearly 2°C lower than stems inoculated with ice nucleation-active Pseudomonas syringae strain B301D. Ice nucleation activity in peach was fully restored by air-drying woody stem sections for a few hours. The ice nuclei in woody tissue were inactivated between 40 and 50°C, but unaffected by treatment with bacterial ice nucleation inhibitors (i.e. NaOCl, tartaric acid, Triton XQS-20), sulfhydryl reagents (i.e. p-hydroxymercuribenzoate and iodine) and Pronase. Ice nuclei could not be dislodged from stems by sonication and were shown to be equally distributed in peach bud and internodal stem tissue on a per unit mass basis; outer and inner stem tissues were also indistinguishable in ice nucleation activity. Development of ice nuclei in immature peach and sweet cherry stems did not occur until midsummer and their formation was essentially complete by late August. Once formed the ice nuclei intrinsic to woody stems were stable and unaffected by seasonal changes in growth. The apparent physiological function of the ice nuclei is discussed in relation to supercooling and mechanisms of cold hardiness in Prunus spp.     

Microbial activity during leaf decomposition in an Alaskan subarctic stream

Fungal biomass and growth and microbial respiration were studied for two field seasons in a second-order subarctic stream where water temperature is 0°C for approximately 6 months. Leaf packs (5-g) of alder Alnus tenuifolia , birch Betula papyrifera and willows Salix alaxensis and Salix arbusculoides immersed in autumn of 1979 and 1980 were sampled until June 1980 and January 1981, respectively. Fungal growth and microbial respiration occurred in submerged detritus at 0°C. Total and FDA-active hyphal lengths were measured, the active proportion averaging 25% of the total (all leaf species, both years). Generally, microbial respiration peaked in all leaf species after two weeks in the stream. As water approached 0°C, respiration declined by 20–50% depending on leaf species, but often increased later in decomposition (at 0°C). Seasonal trends in microbial respiration and FDA-active hyphal lengths were not similar although maximal respiration usually occurred as FDA-active hyphae were growing most rapidly. The calculated leaf weight loss due to microbial respiration was small (7–10%) in all leaf species, compared with total weight loss over 98 d. Scanning electron microscopy provided a visual record of leaf surface microorganisms and apparent leaf cuticle dissolution by fungi and bacteria.     

Cryo-scanning electron microscopic study on freezing behaviors of tissue cells in dormant buds of larch (Larix kaempferi)

The freezing behavior of dormant buds in larch, especially at the cellular level, was examined by a Cryo-SEM. The dormant buds exhibited typical extraorgan freezing. Extracellular ice crystals accumulated only in basal areas of scales and beneath crown tissues, areas in which only these living cells had thick walls unlike other tissue cells. By slow cooling (5 °C/day) of dormant buds to −50 °C, all living cells in bud tissues exhibited distinct shrinkage without intracellular ice formation detectable by Cryo-SEM. However, the recrystallization experiment of these slowly cooled tissue cells, which was done by further freezing of slowly cooled buds with LN and then rewarming to −20 °C, confirmed that some of the cells in the leaf primordia, shoot primordia and apical meristem, areas in which cells had thin walls and in which no extracellular ice accumulated, lost freezable water with slow cooling to −30 °C, indicating ability of these cells to adapt by extracellular freezing, whereas other cells in these tissues retained freezable water with slow cooling even to −50 °C, indicating adaptation of these cells by deep supercooling. On the other hand, all cells in crown tissues and in basal areas of scales, areas in which cells had thick walls and in which large masses of ice accumulated, had the ability to adapt by extracellular freezing. It is thought that the presence of two types of cells exhibiting different freezing adaptation abilities within a bud tissue is quite unique and may reflect sophisticated freezing adaptation mechanisms in dormant buds.     

Supercooling characteristics of isolated peach flower bud primordia

The amount of unfrozen water in dormant peach (Prunus persica [L.] Batsch, cv Redhaven) flower buds, isolated primordia, and bud axes was determined during freezing using pulse nuclear magnetic resonance methods. Differential thermal analysis studies were conducted on whole buds and isolated primordia in the presence of ice nucleation. The results showed that some of the water in isolated primordia remained supercooled in the presence of ice nucleation. Although most tissue water froze (57.5%) following ice nucleation at −2.5°C, a considerable amount of water was found to supercool. In the presence of ice nucleation, increased hydration of isolated primordia resulted in the elimination of the supercooling characteristic. The structural integrity of isolated primordia appeared to be essential for supercooling.     

Zero-sized effect of nano-particles and inverse homogeneous nucleation. Principles of freezing and antifreeze

It was found that freezing of water in terms of homogeneous nucleation of ice never occurs even in ultra-clean micro-sized water droplets under normal conditions. More surprisingly, at sufficiently low supercoolings, foreign nano-particles exert no effect on the nucleation barrier of ice; it is as if they physically "vanished." This effect, called hereafter the "zero-sized" effect of foreign particles (or nucleators), leads to the entry of a so-called inverse homogeneous-like nucleation domain, in which nucleation is effectively suppressed. The freezing temperature of water corresponds to the transition temperature from the inverse homogeneous-like nucleation regime to foreign particle-mediated heterogeneous nucleation. The freezing temperature of water is mainly determined by (i) the surface roughness of nucleators at large supercoolings, (ii) the interaction and structural match between nucleating ice and the substrate, and (iii) the size of the effective surface of nucleators at low supercoolings. Our experiments showed that the temperature of -40 degrees C, commonly regarded as the temperature of homogeneous nucleation-mediated freezing, is actually the transition temperature from the inverse homogeneous-like nucleation regime to foreign particle-mediated heterogeneous nucleation in ultra-clean water. Taking advantage of inverse homogeneous-like nucleation, the interfacial tensions between water and ice in very pure water and antifreeze aqueous solutions were measured at a very high precision for the first time. The principles of freezing promotion and antifreeze and the selection for the biological ice nucleation and antifreeze proteins are obtained. The results provide completely new insights into freezing and antifreeze phenomena and bear generic implications for all crystallization systems.     

Freezing Characteristics of Rigid Plant Tissues (Development of Cell Tension during Extracellular Freezing)

The freezing characteristics and development of cell tension during extracellular freezing were examined in supercooling stem tissues of riverbank grapes (Vitis riparia) and cold-hardened leaves of live oak (Quercus virginiana) and mountain cranberry (Vaccinium vitis-idaea). Dormant stem xylem and pith tissues of river-bank grapes were resistant to freeze-induced dehydration above the homogeneous nucleation temperature, and they developed cell tension reaching a maximum of 27 MPa. Similarly, extracellular freezing induced cell tension in the leaves of live oak and mountain cranberry. Maximum cell tension in the leaves of live oak was 16.8 MPa and 8.3 MPa in the leaves of mountain cranberry. Following peak tensions in the leaves, a decline in the pressure was observed with progressive freezing. The results suggest that resistance to cell deformation during extracellular freezing due to cell-wall rigidity can lead to reduced cell dehydration and increased cell tension. A relationship to predict freezing behavior in plant tissues based on cell rigidity is presented. Based on cell-water relations and ice nucleation rates, cell-wall rigidity has been shown to effect the freezing characteristics of plant tissues, including freeze-induced dehydration, supercooling, and homogeneous nucleation temperatures.     

Plant Viability as a Function of Temperature Stress (The Richards Function Applied to Data from Freezing Tests of Growing Shoots)

Frost resistance of growing Salix viminalis L. shoots was determined by rating mortality percentage under two commonly used freezing conditions: a condition in which plants were encased in crushed ice and another in which plants were moistened with tap water prior to freezing. The mortality-temperature data were fitted with a logistic function (having a fixed inflection point halfway between the asymptotes) and with a Richards function, which is a double asymptotic sigmoid function with a variable inflection point. Different frost resistance curves were obtained, depending on the freezing conditions used. However, conditions were inadequate for efficient ice nucleation under either condition. This implies that the applied freezing conditions are not suitable when the purpose is to induce and duplicate early ice crystal formation conditions. The Richards derivatives were negatively skewed in the one case and positively skewed in the other case, giving inflection points, as a function of the upper asymptote, situated at 0.37 when shoots were frosted in the presence of ice and at 0.81 when shoots were frozen in the presence of added moisture. These values differed significantly from 0.50, through which the logistic function would have forced the curves. Because of the significant asymmetry in these frost-resistance curves, the Richards function led to a more accurate reflection of the temperature-mortality course of growing Salix stems than the logistic function. The Richards function possesses the flexibility needed to describe plant injury response in terms of physical and plant physiological mechanisms. Therefore, the Richards function is recommended rather than the logistic function for the assessment of frost resistance.     

Freezing avoidance by deep undercooling of tissue water in winter-hardy plants

Freezing avoidance by deep undercooling of tissue water to near its homogeneous nucleation temperature (approximately −40 °C) has recently been shown to be an important survival mechanism in reproductive and vegetative parts of many winter-hardy plants. Biophysical experiments which support the concept of undercooling of the tissue water include thermal analyses, nuclear magnetic resonance spectroscopy, and low-temperature microscopy of tissue freezing. All these experiments suggest that in plant parts that undercool, tissue water is compartmentalized and is not removed to extracellular ice as tissue temperature declines. When freezing takes place at low temperature, it occurs rapidly and appears to be intracellular, resulting in instant death. Analyses of freezing and injury of winter-hardy plants at the northern limits of the deciduous forest in North America and near timberline in the Rocky Mountains of the western United States indicate that freezing survival by deep undercooling is an important factor in limiting plant distribution.     

Gene Expression and Signal Transduction in Water-Stress Response

We evaluated the use of infrared (IR) video thermography to observe directly ice nucleation and propagation in plants. An imaging radiometer with an HgCdTe long-wave (8-12 [mu]m) detector was utilized to image the thermal response of plants during freezing. IR images were analyzed in real time and recorded on videotape. Information on the videotape was subsequently accessed and analyzed utilizing IR image analysis software. Freezing of water droplets as small as 0.5 [mu]L was clearly detectable with the radiometer. Additionally, a comparison of temperature tracking data collected by the radiometer with data collected with thermocouples showed close correspondence. Monitoring of an array of plant species under different freezing conditions revealed that ice nucleation and propagation are readily observable by thermal imaging. In many instances, the ice nucleation-active bacterium Pseudomonas syringae placed on test plants could be seen to initiate freezing of the whole plant. Apparent ice nucleation by intrinsic nucleators, despite the presence of ice nucleation-active bacteria, was also evident in some species. Floral bud tissues of peach (Prunus persica) could be seen to supercool below the temperature of stem tissues, and ice nucleation at the site of insertion of the thermocouple was frequently observed. Rates of propagation of ice in different tissues were also easily measured by thermal imaging. This study demonstrates that IR thermography is an excellent method for studying ice nucleation and propagation in plants.     

High ice nucleation temperature of zebrafish embryos: slow-freezing is not an option

Although fish embryos have been used in a number of slow-freezing cryopreservation experiments, they have never been successfully cryopreserved. In part this is because little is known about whether ice forms within the embryo during the slow-freezing dehydration process. Therefore, we examined the temperature of intraembryonic ice formation (T(IIF)) and the temperature of extraembryonic ice formation (T(EIF)), using a cryomicroscope. We used both unmodified zebrafish embryos and those with water channels (aquaporin-3 or AQP3) inserted into their membranes to increase permeability to water and cryoprotectants, examined at 100% epiboly to the 6-somite stage. In these experiments we examined: (1) the spontaneous freezing of (external) solutions; (2) the spontaneous freezing of solutions containing embryos; (3) the effect of preloading the embryos with cryoprotectants on T(IIF); (4) whether preloading the embryos with cryoprotectant helps in survival after nucleating events in the solution; and (5) the damaging effects of extracellular nucleation events versus solution toxicity on the embryos. The solutes alone (embryo medium--EM, sucrose culture medium, 1 M propylene glycol in EM, and 1 M propylene glycol in a sucrose culture medium) froze at -14.9 +/- 1.1, -17.0 +/- 0.3, -17.8 +/- 1.0, and -17.7 +/- 1.4, respectively. There was no difference amongst these means (P > 0.05), thus adding cryoprotectant did not significantly lower the nucleation point. Adding embryos (preloaded with cryoprotectant or not) did not change the basic freezing characteristics of these solutes. In all these experiments, (T(EIF)) equaled (T(IIF)), and there was no difference in the freezing point of the solutions with or without the embryos (P > 0.05). Additionally, there was no difference in the freezing characteristics of embryos with and without aquaporins (P > 0.05). The formation of intraembryonic ice was lethal to the zebrafish embryos in all cases. But this lethal outcome was not related to solution injury effects, because 88-98% of embryos survived when exposed to a higher solute concentration with no ice present. Taken together, these data suggest that slow-freezing is not a suitable option for zebrafish embryos. The mechanism of this high temperature nucleation event in zebrafish embryos is still unknown.     

Freezing in Conifer Xylem: I. PRESSURE CHANGES AND GROWTH VELOCITY OF ICE

To determine whether freezing causes wide-spread cavitationin the xylem of freezing trees, pressure and temperature weremeasured inside freezing conifer sapwood blocks. Pressure risesof up to 3.3 MPa were recorded and average radial growth velocitiesof ice were between 1.75 and 2.3 µm s^–l. These growthvelocities of ice are less than the minimum growth velocityfor bubble nucleation during freezing. To complement this experimental study finite difference modelsof freezing in a single tracheid and freezing in an idealizedtree stem were constructed. The single tracheid model predictspressure rises similar to those measured experimentally. Thismodel also predicts that 5% to 8% of water in a tracheid lumenmigrates out of the tracheid during freezing. The tree stemmodel predicts growth velocities of ice three times faster thanthe values measured experimentally. These results are compared with previous contradictory theoriesof freezing in conifers. Key words: Freezing, xylem     

Proteins accumulate in the apoplast of winter rye leaves during cold acclimation

During cold acclimation, winter rye ( Secale cereale L.) plants develop the ability to tolerate freezing temperatures by forming ice in intercellular spaces and xylem vessels. In this study, proteins were extracted from the apoplast of rye leaves to determine their role in controlling extracellular ice formation. Several polypeptides in the 15 to 32 kDa range accumulated in the leaf apoplast during cold acclimation at 5°C and decreased during deacclimation at 20°C. A second group of polypeptides (63, 65 and 68 kDa) appeared only when the leaves were maximally frost tolerant. Ice nucleation activity, as well as the previously reported antifreeze activity, was higher in apoplastic extracts from cold-acclimated than from nonacclimated rye leaves. These results indicate that apoplastic proteins exert a direct influence on the growth of ice. In addition, freezing injury was greater in extracted cold-acclimated leaves than in unextracted cold-acclimated leaves, which suggests that the proteins present in the apoplast are an important component of the mechanism by which winter rye leaves tolerate ice formation     

Depression of the ice-nucleation temperature of rapidly cooled mouse embryos by glycerol and dimethyl sulfoxide.

The temperature at which ice formation occurs in supercooled cytoplasm is an important element in predicting the likelihood of intracellular freezing of cells cooled by various procedures to subzero temperatures. We have confirmed and extended prior indications that permeating cryoprotective additives decrease the ice nucleation temperature of cells, and have determined some possible mechanisms for the decrease. Our experiments were carried out on eight-cell mouse embryos equilibrated with various concentrations (0-2.0 M) of dimethyl sulfoxide or glycerol and then cooled rapidly. Two methods were used to assess the nucleation temperature. The first, indirect, method was to determine the in vitro survival of the rapidly cooled embryos as a function of temperature. The temperatures over which an abrupt drop in survival occurs are generally diagnostic of the temperature range for intracellular freezing. The second, direct, method was to observe the microscopic appearance during rapid cooling and note the temperature at which nucleation occurred. Both methods showed that the nucleation temperature decreased from - 10 to - 15 degrees C in saline alone to between - 38 degrees and - 44 degrees C in 1.0-2.0 M glycerol and dimethyl sulfoxide. The latter two temperatures are close to the homogeneous nucleation temperatures of the solutions in the embryo cytoplasm, and suggest that embryos equilibrated in these solutions do not contain heterogeneous nucleating agents and are not accessible to any extracellular nucleating agents, such as extracellular ice. The much higher freezing temperatures of cells in saline or in low concentrations of additive indicate that they are being nucleated by heterogeneous agents or, more likely, by extracellular ice.     

Supercooling ability in apple seeds as affected by temperature-induced modifications in water relations in the seed parts

Prolonged storage of apple fruits ( Pyrus malus L. cv. Golden Delicious) at different temperatures (0, 12 and 35°C) decreased the water content in seed coats and endosperms, higher temperatures being much more effective than the lower (0°C) one. No effect of the temperature on the embryo hydration was found. However, a pronounced decrease in water potential in the embryos was observed during the first 9 weeks. The decrease was much faster and the water potential reached lower levels in embryos isolated from seeds pretreated with higher temperatures (12 or 35°C) than from cold-pretreated (0°C) material. Higher temperatures of fruit storage also resulted in a decreased permeability of the embryo membranes to electrolytes and sugars. At the same time, membrane permeability to water was not modified. It is proposed that the previously observed occurrence of the discontinuous type of freezing in apple seeds (Nguyen and Kacperska, Physiologia Plantarum (X): 000-000, 1989) is associated with the temperature-induced dehydration of seed coat and endosperm, whereas a higher super cooling ability of the high-temperature-pretreated embryos is due to a decrease in the free energy of water in the system, and to the effective protection of embryo cells against heterogenous ice nucleation. The changes in water potential showed a high negative correlation with the embryo phospholipid content determined in the other work (Nguyen et al. Plant Physiol. Bio chem. 25: 697–703, 1987). Therefore, it is proposed that changes in matrix potential play an important role in the regulation of the water potential in the embryo cells.     

石楠和蜡梅茎结冰动力学过程的差热扫描分析

在（0.66 ±0.2）℃/min（0℃~-20℃）的降温速度下,采用高分辨率差热分析法分别对石楠（Photinia serrulata Lindl.）和蜡梅（Chimonanthus praecox（L.）Link）活体幼茎和经过10 min高温煮沸的幼茎在结冰过程中的热力学行为进行分析,并根据茎的形态解剖结构对他们的结冰特征进行研究。结果显示：石楠和蜡梅的活体幼茎在结冰过程中的差热扫描曲线均出现3个放热峰;而经过高温杀死后的茎仅出现1个单放热峰。分析结果表明,2种植物活体幼茎的3个放热峰可能与其木质部、质外体、韧皮部、形成层的结冰、脱水以及髓组织的结冰、脱水过程有关。进一步采用生理盐水浸湿的滤纸进行模拟实验,结果发现差热扫描曲线出现与高温杀死的茎类似的放热峰。实验结果表明,采用高分辨率差热分析法可以探测植物组织结冰过程中的放热强度、结冰温度及其与结冰动力学过程相关的大量细节,适用于植物的结冰动力学分析。