Detection of nitrifying bacteria in activated sludge by fluorescent in situ hybridization and fluorescence spectrometry

16S rRNA-targeted oligonucleotide probes for eubacteria (EUB338), ammonium-oxidizing bacteria (Nsm156) and nitrite-oxidizing bacteria (Nb1000) were used for the rapid detection of nitrifying bacteria in the activated sludge of a pilot nitrifying reactor by whole-cell, fluorescent in situ hybridization (FISH). Emission scanning and synchronous scanning fluorescence spectrometry were used to measure the hybridization. The binding of the probes at a temperature significantly lower than the melting temperature of the hybrids was conventionally considered as non-specific. Total binding of the probes at a temperature significantly higher than the melting temperature of the hybrids was conventionally considered as the sum of non-specific and specific binding (hybridization). Non-specific binding of the oligonucleotide probes with a biomass of activated sludge was 37% of the total binding of the EUB338 probe, 54% of the total binding of the Nsm156 probe, and 69% of the total binding of the Nb1000 probe. The ratio of the specific binding of the Nsm156 and Nb1000 probes was 2.3:1. The ratio of the numbers of ammonium-oxidizing bacteria to nitrite-oxidizing bacteria, determined by microbiological methods, was 2.4:1. Measuring fluorescent in situ hybridization by fluorescence spectrometry appears to be a practical tool for monitoring the microbial communities that contain nitrifying bacteria. However, a method that accounts for the non-specific binding of the probes more easily and reliably should be developed for practical application.     

Quantification of methanogens by fluorescence in situ hybridization with oligonucleotide probe

To monitor anaerobic environmental engineering system, new method of quantification for methanogens was tested. It is based on the measurement of specific binding (hybridization) of 16S rRNA-targeted oligonucleotide probe Arc915, performed by fluorescence in situ hybridization (FISH) and quantified by fluorescence spectrometry. Average specific binding of Arc915 probe was 13.4±0.5 amol/cell of autofluorescent methanogens. It was 14.3, 13.3, and 12.9 amol/cell at the log phase, at stationary phase and at the period of cell lysis of batch culture, respectively. Specific binding of Arc915 probe per 1 ml of microbial sludge suspension from anaerobic digester linearly correlated with concentration of autofluorescent cells of methanogens. Coefficient of correlation was 0.95. Specific binding of oligonucleotide probe Arc915 can be used for the comparative estimation of methanogens during anaerobic digestion of organic waste. Specific binding of Arc915 probe was linear function of anaerobic sludge concentration when it was between 1.4 and 14.0 mg/ml. Accuracy of the measurements in this region was from 5 to 12%.     

Quantification of whole-cell in situ hybridization with oligonucleotide probes by flow cytometry of Escherichia coli cells

The use of fluorescence in situ hybridization (FISH) in conjunction with flow cytometry is a popular method of analysing environmental microbial populations. However, false-positive results can be produced if the specificity of oligonucleotide probe binding is not considered. An aim of this research was to evaluate the specificity of labelled oligonucleotide probe binding in FISH by flow cytometry. An excess of unlabelled probe was used to competitively inhibit the specific binding of labelled probe. Comparisons were made between the mean cell fluorescence and the number of fluorescently stained cells in a pure culture of Escherichia coli ATCC 53323. Specific binding of species-specific probes for the detection of E. coli was in the range 47–70% of total binding. A eukaryote probe and a nonsense probe, used as negative controls, had no specific binding with cells of E. coli. The significance of the results obtained is that the enumeration of specifically probe-bound microbial cells by FISH and flow cytometry must be made by an application of labelled and unlabelled probes to distinguish specifically stained cells. This is also a more practical method for the analysis of environmental samples compared to washing of excess non-specifically bound probe, due to the reduction of cell loss from the analysis.     

Detection of Legionella species in potting mixes using fluorescent in situ hybridisation (FISH)

This study used Fluorescent in situ Hybridisation (FISH) with rRNA targeted oligonucleotide probes combined with scanning confocal laser microscopy to successfully detect Legionella spp. in commercially available potting mix. A range of techniques were explored to optimise the FISH method by reducing background fluorescence and preventing non-specific binding of probes. These techniques included the use of a blocking agent, UV light treatment, image subtraction of a nonsense probe and spectral unmixing of specific probes fluorescence and autofluorescence dependent on the specific emission spectra of probe fluorophores.Spectral unmixing was the best microscopy technique for reducing background fluorescence and non-specific binding of probes was not observed. The rapid turnaround time and increased sensitivity of the FISH provides as an alternative to traditional culture methods, which are tedious and often give varied results. FISH is also advantageous compared to PCR methods as it provides information on the structure of the microbial community the bacteria is situated in. This study demonstrates that FISH could provide an alternative method for Legionella detection and enumeration in environmental samples.     

Quantification of Target Molecules Needed To Detect Microorganisms by Fluorescence In Situ Hybridization (FISH) and Catalyzed Reporter Deposition-FISH

Fluorescence in situ hybridization (FISH) with rRNA-targeted oligonucleotide probes is a method that is widely used to detect and quantify microorganisms in environmental samples and medical specimens by fluorescence microscopy. Difficulties with FISH arise if the rRNA content of the probe target organisms is low, causing dim fluorescence signals that are not detectable against the background fluorescence. This limitation is ameliorated by technical modifications such as catalyzed reporter deposition (CARD)-FISH, but the minimal numbers of rRNA copies needed to obtain a visible signal of a microbial cell after FISH or CARD-FISH have not been determined previously. In this study, a novel competitive FISH approach was developed and used to determine, based on a thermodynamic model of probe competition, the numbers of 16S rRNA copies per cell required to detect bacteria by FISH and CARD-FISH with oligonucleotide probes in mixed pure cultures and in activated sludge. The detection limits of conventional FISH with Cy3-labeled probe EUB338-I were found to be 370 ± 45 16S rRNA molecules per cell for Escherichia coli hybridized on glass microscope slides and 1,400 ± 170 16S rRNA copies per E. coli cell in activated sludge. For CARD-FISH the values ranged from 8.9 ± 1.5 to 14 ± 2 and from 36 ± 6 to 54 ± 7 16S rRNA molecules per cell, respectively, indicating that the sensitivity of CARD-FISH was 26- to 41-fold higher than that of conventional FISH. These results suggest that optimized FISH protocols using oligonucleotide probes could be suitable for more recent applications of FISH (for example, to detect mRNA in situ in microbial cells).     

Aggregation of ammonia-oxidizing bacteria in microbial biofilm on oyster shell surface

Summary Formation and activity of bacterial nitrifying biofilms play an important role in the closed seawater systems for shrimp cultivation. The structure of microbial biofilm on empty oyster shells, used as a biofilm carrier in biofiltration of aquacultural water, was studied using fluorescence in situ hybridization (FISH) and confocal laser scanning microscopy. FISH was performed with specific oligonucleotide probes for Bacteria and ammonia-oxidizing Nitrosomonas spp. The bacterial cells were arranged within the biofilm as a layer of vertically elongated aggregates. Aggregates of ammonia-oxidizing bacteria were embedded within the matrix formed by other bacteria. Vertically elongated cell aggregates may be ecologically important in bacterial biofilms because they have a higher surface-to-volume ratio than that of laminated biofilms.     

Application of pseudomurein endoisopeptidase to fluorescence in situ hybridization of methanogens within the family Methanobacteriaceae

In situ detection of methanogens within the family Methanobacteriaceae is sometimes known to be unsuccessful due to the difficulty in permeability of oligonucleotide probes. Pseudomurein endoisopeptidase (Pei), a lytic enzyme that specifically acts on their cell walls, was applied prior to 16S rRNA-targeting fluorescence in situ hybridization (FISH). For this purpose, pure cultured methanogens within this family, Methanobacterium bryantii, Methanobrevibacter ruminantium, Methanosphaera stadtmanae, and Methanothermobacter thermautotrophicus together with a Methanothermobacter thermautotrophicus-containing syntrophic acetate-oxidizing coculture, endosymbiotic Methanobrevibacter methanogens within an anaerobic ciliate, and an upflow anaerobic sludge blanket (UASB) granule were examined. Even without the Pei treatment, Methanobacterium bryantii and Methanothermobacter thermautotrophicus cells are relatively well hybridized with oligonucleotide probes. However, almost none of the cells of Methanobrevibacter ruminantium, Methanosphaera stadtmanae, cocultured Methanothermobacter thermautotrophicus, and the endosymbiotic methanogens and the cells within UASB granule were hybridized. Pei treatment was able to increase the probe hybridization ratio in every specimen, particularly in the specimen that had shown little hybridization. Interestingly, the hybridizing signal intensity of Methanothermobacter thermautotrophicus cells in coculture with an acetate-oxidizing H(2)-producing syntroph was significantly improved by Pei pretreatment, whereas the probe was well hybridized with the cells of pure culture of the same strain. We found that the difference is attributed to the differences in cell wall thicknesses between the two culture conditions. These results indicate that Pei treatment is effective for FISH analysis of methanogens that show impermeability to the probe.     

Fluorescence in situ hybridization of single copy transgenes in rice chromosomes

Summary Fluorescence in situ hybridization (FISH) is a powerful tool for visualizing the chromosomal location of targeted sequences and has been applied in many areas, including karyotyping, breeding and characterization of genes introduced into the plant genome. A simple, routine and sensitive FISH procedure was developed for localizing single copy genes in rice (Oryza sativa L.) metaphase chromosomes. We used digoxygenin-labeled endogenous or T-DNA sequences as small as 5.6 kb to probe corresponding endogenous sequences or the T-DNA insert in denatured rice metaphase chromosomes prepared from root meristem tissue. The hybridized probe sequence was labeled with cy3-conjugated anti-mouse IgG and visualized using fluorescence microscopy. Single copy and multiple copy introduced T-DNA sequences, as well as endogenous sequences, were localized on the chromosomes. The FISH protocol was effectively used to sereen the chromosomal location of introduced T-DNA and number of integration loci in rice.     

Development of rRNA and rDNA-targeted probes for fluorescence in situ hybridization to detect Heterosigma akashiwo (Raphidophyceae)

Heterosigma akashiwo (Hada) is a fragile, fish-killing alga. Efforts to understand and prevent blooms due to this harmful species to mitigate the impact on aquaculture require the development of methods for rapid and precise identification and quantification, so that adequate warning of a harmful algal bloom may be given. Here, we report the development and application of rRNA and rDNA-targeted oligonucleotide probes for fluorescence in situ hybridization (FISH) to aid in the detection and enumeration of H. akashiwo. The designed probes were species specific, showing no cross-reactivity with four common HAB causative species: Prorocentrum micans Ehrenberg, P. minimum (Pavillard) Schiller, Alexandrium tarmarense (Lebour) Balech, and Skeletonema costatum (Greville) Cleve, or with four other microalgae, including Gymnodinium sp. Stein, Platy-monas cordiformis (Karter) Korsch, Skeletonema sp.1 Greville and Skeletonema sp.2. The rRNA-targeted probe hybridized to cytoplasmic rRNA, showing strong green fluorescence throughout the whole cell, while cells labeled by rDNA-targeted probe exhibited exclusively fluorescent nucleus. The detection protocols were optimized and could be completed within an hour. For rRNA and rDNA probes, about a corresponding 80% and 70% of targeted cells could be identified and quantified during the whole growth circle, despite the inapparent variability in the average probe reactivity. The established FISH was proved promising for specific, rapid, precise, and quantitative detection of H. akashiwo.     

Counting and size classification of active soil bacteria by fluorescence in situ hybridization with an rRNA oligonucleotide probe

A fluorescence in situ hybridization (FISH) technique based on binding of a rhodamine-labelled oligonucleotide probe to 16S rRNA was used to estimate the numbers of ribosome-rich bacteria in soil samples. Such bacteria, which have high cellular rRNA contents, were assumed to be active (and growing) in the soil. Hybridization to an rRNA probe, EUB338, for the domain Bacteria was performed with a soil slurry, and this was followed by collection of the bacteria by membrane filtration (pore size, 0.2 micrometer). A nonsense probe, NONEUB338 (which has a nucleotide sequence complementary to the nucleotide sequence of probe EUB338), was used as a control for nonspecific staining. Counting and size classification into groups of small, medium, and large bacteria were performed by fluorescence microscopy. To compensate for a difference in the relative staining intensities of the probes and for binding by the rhodamine part of the probe, control experiments in which excess unlabelled probe was added were performed. This resulted in lower counts with EUB338 but not with NONEUB338, indicating that nonspecific staining was due to binding of rhodamine to the bacteria. A value of 4.8 x 10(8) active bacteria per g of dry soil was obtained for bulk soil incubated for 2 days with 0.3% glucose. In comparison, a value of 3.8 x 10(8) active bacteria per g of dry soil was obtained for soil which had been air dried and subsequently rewetted. In both soils, the majority (68 to 77%) of actively growing bacteria were members of the smallest size class (cell width, 0.25 to 0.5 micrometer), but the active (and growing) bacteria still represented only approximately 5% of the total bacterial population determined by DAPI (4', 6-diamidino-2-phenylindole) staining. The FISH technique in which slurry hybridization is used holds great promise for use with phylogenetic probes and for automatic counting of soil bacteria.     

Application of Pseudomurein Endoisopeptidase to Fluorescence In Situ Hybridization of Methanogens within the Family Methanobacteriaceae

In situ detection of methanogens within the family Methanobacteriaceae is sometimes known to be unsuccessful due to the difficulty in permeability of oligonucleotide probes. Pseudomurein endoisopeptidase (Pei), a lytic enzyme that specifically acts on their cell walls, was applied prior to 16S rRNA-targeting fluorescence in situ hybridization (FISH). For this purpose, pure cultured methanogens within this family, Methanobacterium bryantii, Methanobrevibacter ruminantium, Methanosphaera stadtmanae, and Methanothermobacter thermautotrophicus together with a Methanothermobacter thermautotrophicus-containing syntrophic acetate-oxidizing coculture, endosymbiotic Methanobrevibacter methanogens within an anaerobic ciliate, and an upflow anaerobic sludge blanket (UASB) granule were examined. Even without the Pei treatment, Methanobacterium bryantii and Methanothermobacter thermautotrophicus cells are relatively well hybridized with oligonucleotide probes. However, almost none of the cells of Methanobrevibacter ruminantium, Methanosphaera stadtmanae, cocultured Methanothermobacter thermautotrophicus, and the endosymbiotic methanogens and the cells within UASB granule were hybridized. Pei treatment was able to increase the probe hybridization ratio in every specimen, particularly in the specimen that had shown little hybridization. Interestingly, the hybridizing signal intensity of Methanothermobacter thermautotrophicus cells in coculture with an acetate-oxidizing H₂-producing syntroph was significantly improved by Pei pretreatment, whereas the probe was well hybridized with the cells of pure culture of the same strain. We found that the difference is attributed to the differences in cell wall thicknesses between the two culture conditions. These results indicate that Pei treatment is effective for FISH analysis of methanogens that show impermeability to the probe.     

Bacterial Community Structure and Location in Stilton Cheese

The microbial diversity occurring in Stilton cheese was evaluated by 16S ribosomal DNA analysis with PCR-denaturing gradient gel electrophoresis. DNA templates for PCR experiments were directly extracted from the cheese as well as bulk cells harvested from a variety of viable-count media. The variable V3 and V4-V5 regions of the 16S genes were analyzed. Closest relatives of Lactococcus lactis, Enterococcus faecalis, Lactobacillus plantarum, Lactobacillus curvatus, Leuconostoc mesenteroides, Staphylococcus equorum, and Staphylococcus sp. were identified by sequencing of the DGGE fragments. Fluorescently labeled oligonucleotide probes were developed to detect Lactococcus lactis, Lactobacillus plantarum, and Leuconostoc mesenteroides in fluorescence in situ hybridization (FISH) experiments, and their specificity for the species occurring in the community of Stilton cheese was checked in FISH experiments carried out with reference cultures. The combined use of these probes and the bacterial probe Eub338 in FISH experiments on Stilton cheese sections allowed the assessment of the spatial distribution of the different microbial species in the dairy matrix. Microbial colonies of bacteria showed a differential location in the different parts of the cheese examined: the core, the veins, and the crust. Lactococci were found in the internal part of the veins as mixed colonies and as single colonies within the core. Lactobacillus plantarum was detected only underneath the surface, while Leuconostoc microcolonies were homogeneously distributed in all parts observed. The combined molecular approach is shown to be useful to simultaneously describe the structure and location of the bacterial flora in cheese. The differential distribution of species found suggests specific ecological reasons for the establishment of sites of actual microbial growth in the cheese, with implications of significance in understanding the ecology of food systems and with the aim of achieving optimization of the fermentation technologies as well as preservation of traditional products.     

Order-specific 16S rRNA-targeted oligonucleotide probes for (hyper)thermophilic archaea and bacteria

New oligonucleotide probes were designed and evaluated for application in fluorescence in situ hybridization (FISH) studies on (hyper)thermophilic microbial communities—Arglo32, Tcoc164, and Aqui1197 target the 16S rRNA of Archaeoglobales, Thermococcales, and Aquificales, respectively. Both sequence information and experimental evaluation showed high coverage and specificity of all three probes. The signal intensity of Aqui1197 was improved by addition of a newly designed, unlabeled helper oligonucleotide, hAqui1045. It was shown that in addition to its function as a probe for Aquificales, Aqui1197 is suitable as a supplementary probe to extend the coverage of the domain-specific bacterial probe EUB338. In sediments from two hydrothermal seeps on Vulcano Island, Italy, the microbial community structure was analyzed by FISH with both established and the new oligonucleotide probes, showing the applicability of Arglo32, Tcoc164, and Aqui1197/hAqui1045 to natural samples. At both sites, all major groups of (hyper)thermophiles, except for methanogens, were detected: Crenarchaeota (19%, 16%), Thermococcales (14%, 22%), Archaeoglobales (14%, 12%), Aquificales (5%, 8%), Thermotoga/Thermosipho spp. (12%, 9%), Thermus sp. (12%, none), and thermophilic Bacillus sp. (12%, 8%).     

Quantitative imaging and statistical analysis of fluorescence in situ hybridization (FISH) of Aureobasidium pullulans

Image and multifactorial statistical analyses were used to evaluate the intensity of fluorescence signal from cells of three strains of A. pullulans and one strain of Rhodosporidium toruloides, as an outgroup, hybridized with either a universal or an A. pullulans 18S rRNA oligonucleotide probe in direct or indirect FISH reactions. In general, type of fixation (paraformaldehyde or methanol-acetic acid) had no apparent effect on cell integrity and minimal impact on fluorescence. Permeabilization by enzyme treatment for various times, though needed to admit high Mw detection reagents (avidin-FITC) in indirect FISH, tended to nonspecifically degrade cells and lower the signal. Digestion was unnecessary and undesirable for the directly labelled probes. Multilabelled (five fluorescein molecules) probes enhanced fluorescence about fourfold over unilabelled probes. Overall, direct FISH was preferable to indirect FISH and is recommended especially for studies of microbes on natural substrata.     

In situ assessment of active Thiobacillus species in corroding concrete sewers using fluorescent RNA probes

Culture-dependent studies have implicated sulfur-oxidizing bacteria as the causative agents of concrete corrosion in sanitary sewers. Thiobacillus species are often considered the major representative of the acid-producing bacteria in these environments, and members of the genus Acidiphilium have been implicated to support their growth. Active populations of selected Thiobacillus, Leptospirillum, and Acidiphilium species were compared to total bacterial populations growing on the surfaces of corroding concrete using three oligonucleotide probes that have been confirmed to recognize unique sequences of 16S rRNA in the following acidophilic bacteria: Thiobacillus ferrooxidans and Thiobacillus thiooxidans (probe: Thio820), Leptospirilium ferrooxidans (Probe: Lept581) and members of the genus Acidiphilium (probe: Acdp821). With these genetic probes, fluorescent in situ hybridizations (FISH) were used to identify and enumerate selected bacteria in homogenized biofilm samples taken from the corroding crowns of concrete sewer collection systems operating in Houston, Texas, USA. Direct epifluorescent microscopy demonstrated the ability of FISH to identify significant numbers of active acidophilic bacteria among concrete particles, products of concrete corrosion (e.g. CaSO₄), and other mineral debris. As judged by FISH analyses with the species-specific probe Thio820, and a domain-level probe that recognizes all Bacteria (Eub338), T. ferrooxidans and T. thiooxidans comprised between 12% and 42% of the total active Bacteria present in corroding concrete samples. Although both Acidiphilium and Leptospirillum have also been postulated to have ecological significance in acidic sulfur-oxidizing environments, neither genera was detected using genus-specific probes (Lept581 and Acdp821).     

Archaeal Community Revealed by 16s rRNA and Fluorescence in situ Hybridization in a Sulphuric Hydrothermal Hot Spring, Northern Taiwan

Summary The archaeal community composition of Yangmingshan National Park in northern Taiwan was investigated by 16S rRNA and fluorescence in situ hybridization (FISH). Optimization of tetrameric restriction enzyme (TRE) was performed to achieve efficient digestion and differentiation in the restriction fragment length polymorphism (RFLP) fragments, and AciI, BstUI and RsaI were shown to be the optimal TREs for TRE-RFLP. Nine clones were obtained in the studies, with clones M70 and M6 being found to be phylogenetically affiliated to Sulfolobus and Caldisphaera in domain Crenarchaeota, respectively, whereas seven other clones were found to be affiliated to an uncultured and unidentified archaeon isolated from thermoacidic environments. In FISH, soil and water region cells were hybridized with DAPI (4′, 6-diamidino-2-phenylindole) and specific fluorescently labelled probes. 15.69 and 7.16% of the DAPI-stained cells hybridized with universal archaeal probe ARC915 and sulphate-reducing bacterial probe SRB385, respectively.     

Fluorescent oligonucleotide ligation technology for identification of ras oncogene mutations

A mutation detection strategy based on multiplex PCR followed by multiplex allele-specific oligonucleotide probe ligation was developed to detect single nucleotide substitutions in ras oncogenes, a common genetic abnormality in many human cancers. Mutation-specific probes are synthesized for each possible single-base, nonsilent mutation in codons 12, 13, and 61 of H-, K-, and N-ras oncogenes. Mutations are identified by competitive oligonucleotide probe ligation to detect normal and /or mutant genotypes in one reaction. Three probes (one common and two allelic probes) are needed for analysis of each mutation. Probes hybridized to target ras oncogene DNA are joined by a thermostable ligase if there are no mismatches at their junctions; temperature cycling results in a linear increase in product. Common probes are labeled with fluorochromes, and allelic probes each have different lengths. Ligation products are analyzed by denaturing polyacrylamide gel electrophoresis on a fluorescent DNA sequencer. We have applied this technology to identify ras mutations in pancreatic cancers and lung cancers and in patients with myelodysplastic syndromes and leukemias.     

A simple method for the production of bacterial controls for immunohistochemistry and fluorescent in situ hybridization

Immunohistochemical and fluorescent in situ hybridization (FISH) assays are useful diagnostic methods for the identification of bacteria on formalin fixed paraffin embedded histological sections. To validate an anti-bacterial antibody or an oligonucleotide probe and to ensure fidelity during subsequent analyses, suitable positive and negative controls are necessary. Suspensions of fixed bacteria are often used, but ideally, these controls should be fixed, embedded and processed in the same way of tissue samples under analysis. Herein, we describe a simple method for the production of bacterial histological control samples: the sandwich. The sandwich is composed of two external layers of equine lung parenchyma and a central layer of the target bacterium. We prepared sandwiches containing Escherichia coli, Campylobacter jejuni, and Arcanobacterium pyogenes and tested them with appropriate antibodies and Eub338 FISH probe. The sandwich is an effective and simple method to prepare bacterial histological controls fixed and processed in the same way as the diagnostic tissues.     

Karyotyping of Brassica oleracea L. based on rDNA and Cot -1 DNA fluorescence in situ hybridization

To explore an effective and reliable karyotyping method in Brassica crop plants, Cot-1 DNA was isolated from Brassica oleracea genome, labeled as probe with Biotin-Nick Translation Mix kit, in situ hybridized to mitotic spreads, and where specific fluorescent bands showed on each chromosome pair. 25S and 5S rDNA were labeled as probes with DIG-Nick Translation Mix kit and Biotin-Nick Translation Mix kit, respectively, in situ hybridized to mitotic preparations, where 25S rDNA could be detected on two chromosome pairs and 5S rDNA on only one. Cot-1 DNA contains rDNA and chromosome sites identity between Cot-1 DNA and 25S rDNA was determined by dual-colour fluorescence in situ hybridization. All these showed that the karyotyping technique based on a combination of rDNA and Cot-1 DNA chromosome landmarks is superior to all but one. A more exact karyotype of B. oleracea has been analyzed based on a combination of rDNA sites, Cot-1 DNA fluorescent bands, chromosome lengths and arm ratios. __________ Translated from Journal of Wuhan University (Nat. Sci. Ed.), 2006, 52(2): 230–234 [译自: 武汉大学学报 (理学版)]