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Eukaryot Cell. 2007 May; 6(5): 817–830.
Published online 2007 March 9. doi:  10.1128/EC.00012-07
PMCID: PMC1899241

Diversity of Ca2+-Induced Morphology Revealed by Morphological Phenotyping of Ca2+-Sensitive Mutants of Saccharomyces cerevisiae[down-pointing small open triangle]


Yeast cell morphology can be treated as a quantitative trait using the image processing software CalMorph. In the present study, we investigated Ca2+-induced morphological changes in Ca2+-sensitive (cls) mutants of Saccharomyces cerevisiae, based on the discovery that the characteristic Ca2+-induced morphological changes in the Ca2+-sensitive mutant zds1 reflect changes in the Ca2+ signaling-mediated cell cycle control pathway. By applying hierarchical cluster analysis to the quantitative morphological data of 58 cls mutants, 31 of these mutants were classified into seven classes based on morphological similarities. The patterns of morphological change induced by Ca2+ in one class differed from those of another class. Based on the results obtained using versatile methods for phenotypic analysis, we conclude that a high concentration of Ca2+ exerts a wide variety of effects on yeast and that there are multiple Ca2+-regulatory pathways that are distinct from the Zds1p-related pathway.

Cellular morphology is tightly linked to cellular processes and functions in virtually all eukaryotic organisms. In the yeast Saccharomyces cerevisiae, the elliptical shape sequentially changes with cell cycle progression under nutritionally rich conditions (9, 24). Under particular conditions, yeast cells drastically change their morphology, forming the shmoo tip (pear-like cell morphology) under mating conditions (29) and pseudohyphae (filamentous cell morphology) or ascospores (four cells within a cell) under starvation conditions (15, 19).

Since cell morphology changes during the yeast cell cycle, drastic morphological changes can be induced in yeast cells by adding reagents that inhibit cell cycle progression. Large-budded cells accumulate following treatment with hydroxyurea (14), which inhibits ribonucleotide reductase. Treatment of zds1 (zillion different screens) (2, 33) mutant cells with 50 to 300 mM Ca2+ induces G2/M arrest and the formation of elongated buds with one nucleus at the mother/bud neck, which indicates that the Ca2+-signaling pathway mediates cell cycle control via repression of the SWE1 transcription in G2 phase (17). Genes that are involved in the Zds1-mediated Ca2+ signaling pathway have been identified (18, 31). However, Zds1-dependent, Ca2+-mediated, cell cycle control may be only a part of the Ca2+-signaling pathway, since many Ca2+-sensitive (cls) mutants have been reported (6, 12, 21). Ohya et al. identified 18 complementation groups (unsaturated) of cls mutants (21), some of which have been implicated in intracellular Ca2+ homeostasis (10, 23). It remains unknown whether the morphological features and cellular functions of these cls mutants are similar to those of the zds1 mutant.

In the present study, we analyzed 58 cls mutants for morphological changes induced by Ca2+ based on high-dimensional and quantitative morphological information obtained using the CalMorph program (22). Our statistical and multivariate analyses reveal that wild-type (WT) yeast cells undergo various types of morphological change in response to Ca2+. Thirty-one cls mutants were clustered into seven groups based on shared characteristic changes. This is the first demonstration that quantitative comprehensive phenotypic analyses of yeast mutants can be used to assess reagent-induced effects that cannot be discriminated in the WT strain.


Media and strains.

Libraries of the haploid strains BY4741 (MATa) and BY4742 (MATα) with a deletion of each of the 4,845 nonessential genes were purchased from the European Saccharomyces cerevisiae Archive for Functional Analysis (EUROSCARF: The medium for growing S. cerevisiae was YPD medium that contained 1% (wt/vol) Bacto yeast extract (BD Biosciences), 2% (wt/vol) polypeptone (WAKO), and 2% (wt/vol) dextrose. YPD pH 5.5 medium was YPD medium that was buffered to pH 5.5 with 50 mM succinate-NaOH. For examination of Ca2+ sensitivity, YPD medium supplemented with 100 mM CaCl2 was used as a Ca2+-rich medium. YPG medium (1% Bacto yeast extract, 2% polypeptone, 2% [vol/vol] glycerol) was used for examination of the Pet phenotype. To assess sensitivities to other divalent cations, YPD medium supplemented with 100 mM MgCl2, 3 mM ZnCl2, and 3 mM MnCl2 was used. Plates that contained YPD medium supplemented with 150 mM KCl were used to assess osmotic pressure sensitivity. Solid media were prepared by adding 2% (wt/vol) agar to the above media.

Growth and test conditions.

For measurement of the growth rate, each strain was grown in YPD liquid medium in the wells of microtiter plates (round-bottomed 96-well plates with lids; IWAKI) for 24 h at 25°C. The cultures were diluted to 3 × 105 cells/ml in YPD or YPD medium that was supplemented with CaCl2 to a final concentration of 100 mM and then were incubated at 30°C with agitation. The optical density at 630 nm was measured in an MTP120 microtiter plate reader (Corona Electric).

Observations of vacuolar acidification.

Log phase yeast cells were incubated in 1 ml of YPD medium that contained 50 mM sodium phosphate buffer (pH 7.5) and a 0.5 mM concentration of freshly prepared quinacrine (Sigma) for 30 min at 25°C. Cells were washed twice with 1 ml of YPD medium and suspended in 50 μl of YPD medium. Accumulation of quinacrine in the vacuoles was observed by fluorescence microscopy (BX60; Olympus) with excitation at 395 nm and emission through an NV filter (Olympus) at a 495-nm maximal transmission.

Measurement of intracellular calcium.

Intracellular calcium content was measured as described previously (6) with some modifications. Yeast cells growing exponentially (1 × 107 to 1.5 × 107 cells/ml) in YPD pH 5.5 medium were collected, resuspended in YPD pH 5.5 medium that contained 45CaCl2 (20 μCi/ml; GE Healthcare), and incubated at 30°C for 6.5 h. Aliquots (0.2 ml) were diluted into 1 ml of ice-cold buffer A (5 mM morpholinoethanesulfonic acid-Tris [pH 6.5] and 10 mM CaCl2) and filtered rapidly onto a 96-well GF/F Unifilter (Whatman). The filter was washed three times with ice-cold buffer A, dried at 80°C for 1 h in an oven, and resuspended in MicroScint-20 scintillation cocktail (Perkin Elmer), and the radioactivity was measured with a TopCount microplate scintillation counter (Perkin Elmer). To determine the protein concentration, each strain was incubated without 45CaCl2 under the same conditions as the 45CaCl2-treated cells. Cultures were collected and suspended in 0.2 ml of 10% trichloroacetic acid. The protein content was measured using a bicinchoninic acid protein assay kit (Pierce).

Fluorescence staining and microscopy.

Cells (8 × 106 cells) at log phase in YPD medium were collected, washed once in YPD medium with or without 100 mM CaCl2, and resuspended in 4 ml of the respective medium to a final concentration of 2 × 106 cells/ml. The cells were incubated for 5 h at 30°C, washed once with YPD medium, and fixed in YPD medium that was supplemented with 3.7% formaldehyde and 0.1 M potassium phosphate buffer (pH 6.5). Triple staining of the yeast cells and image analysis with CalMorph were performed as described previously (22). CalMorph automatically characterizes each yeast cell using 501 morphological parameters. Ten and 5 independent cultures grown under the two different conditions were analyzed for the WT and mutant cells, respectively.

Assessment of parameters changed by Ca2+ treatment.

All the statistical analyses were performed using R ( To investigate the Ca2+ effect on yeast cell morphology, we tested the difference between the 10 high Ca2+ and 10 low Ca2+ values using the U test for each parameter (16). The number of parameters expected to be detected by chance was estimated by empirical permutation tests (4).

Data preprocessing.

To generate uniform distributions of each parameter value, we transformed the parameter values to statistic U (16) and modified them to reflect the direction of morphological change. The samples and controls were combined and ranked in order of the lowest values first. Note that the same values were ranked in average order. Then, we summed the rank order of samples to T and computed U′, which is a modified statistic U value defined by the function:

equation M1

where m and n are the sample sizes of the test samples and controls, respectively. The probability distribution of U′ is the same as the Mann-Whitney statistic U. However, the larger the sample value, the larger the value of U′ becomes; U′ was set to 0 when the distribution of the samples was equal to that of the controls.

Hierarchical clustering.

Hierarchical clustering was performed using R ( TreeView, version 1.60, was used to visualize the clustering results (7). Clusters were assessed using the R package pvclust tool ( at a P value of >0.95 (27). The following options in pvclust were used: method.hclust = “average”; nboot = 1,000; r = seq(0.5, 1.4, by = 0.1). For dissimilarity, see the “Metrics” section below.


The morphological dissimilarity metric that we used is a form of angle. Let the morphological vector An external file that holds a picture, illustration, etc.
Object name is zek0050728730007.jpg equal an ordered set of U′ for the mutants. For any two mutants An external file that holds a picture, illustration, etc.
Object name is zek0050728730008.jpg [set membership] An external file that holds a picture, illustration, etc.
Object name is zek0050728730009.jpg and An external file that holds a picture, illustration, etc.
Object name is zek0050728730010.jpg [set membership] An external file that holds a picture, illustration, etc.
Object name is zek0050728730011.jpg, the morphological dissimilarity score can be computed as follows:

An external file that holds a picture, illustration, etc.
Object name is zek00507287300e1.jpg

The parameter dissimilarity metric that we used is a form of Spearman's rank correlation coefficient. Let Pi equal the rank order of the primary data for parameter P in independent culture i. For any two parameters X [set membership] P and Y [set membership] P observed over a series of N cultures combined under both conditions, the parameter dissimilarity score can be computed as follows:

equation M2


equation M3

Detection of parameters coherently changed in each class.

Based on the assumption that a characteristic parameter of an identified class is a similarly changed parameter among the mutants, we defined the statistic Uc′, which represents the coherency in the change of direction of the parameter as Uc′ = U1′ + U2′ +… + Ul′, where l is the number of mutants included in the class, Ul′ is statistic U′ of the lth mutant, and U′ is as defined in the “Data preprocessing” section. To estimate the critical value of Uc′ that served as a certain threshold value, we computed the population distribution of Uc′ for each value of l. The total number of combinations for Uc′ is defined by [C(m+n,n)]l, since the number of combinations for Uc′ is calculated as binomial coefficient C(m+n,n), where m and n are the sizes of the control data and sample data, respectively. Then, the P values that correspond to each Uc′ are calculated based on the distribution of the [C(m+n,n)]l values. Given a threshold value, a parameter is judged to be a coherently changed parameter if the absolute value of Uc′ is higher than the critical value, which gives the threshold value of the two-sided P value.


Changes in yeast morphology caused by a high concentration of extracellular Ca2+.

To investigate the effect of extracellular Ca2+ concentration on WT yeast morphology, we compared the cellular morphologies of WT yeasts grown under two culture conditions (low and high concentrations of Ca2+). For simplicity, WT cells treated with low and high concentrations of Ca2+ are referred to as WT-Ca2+ and WT+Ca2+, respectively. Samples from 10 independent cultures under each condition were characterized by triple-staining fluorescence microscopy and automated cell imaging, as described previously (22). At least 200 cells were analyzed per culture to quantify 501 morphological parameters. For each parameter, we tested the difference between the 10 WT-Ca2+ and the 10 WT+Ca2+ values using the Mann-Whitney test (16). Table Table11 shows the significant morphological differences that were noted between the 10 WT-Ca2+ and the 10 WT+Ca2+ values in 100, 65, and 38 parameters at P values of < 0.05, 0.01, and < 0.001, respectively. A permutation test shows that 20 of the hundred parameters were expected to be detected by chance at a P value of <0.05. At a P value of <0.001, fewer than 1 of the 38 parameters is expected to be detected by chance (see Materials and Methods section).

The significantly changed parameters of wild-type under containing high-concentration of Ca2+

We also investigated the profiles of the Ca2+-dependent morphological changes. Among the 100 parameters detected, we focused on 59 parameters that represented a mean of the measured cells, since the remainder of the parameters represented coefficients of variations in the measurements. When we applied average-linkage hierarchical clustering with dissimilarity based on the Spearman rank order correlation coefficient, we found tightly clustered parameters (Fig. (Fig.1).1). According to these classified parameters, we illustrate the Ca2+-dependent morphological changes based on the features reflected in two or more parameters (Fig. (Fig.2).2). In addition to the global changes observed in all cell cycle stages, stage-specific changes were observed. Under the WT+Ca2+ condition, rounded cells with centered nuclei accumulated in all stages. In addition, cells with round nuclei accumulated in the unbudded stage, cells with a straightened budding site and direction with a wide neck and large actin region accumulated in all budded stages and cells with proximity of the actin patch to the neck accumulated in the stage of budded cells with two nuclei (Fig. (Fig.2).2). These results clearly indicate that the morphological differences between WT-Ca2+ and WT+Ca2+ cells occur at different stages of the cell cycle and reflect various cellular aspects.

FIG. 1.
The 59 mean parameters showing differences between the effects of high and low concentrations of Ca2+ on WT yeast cells. The parameters are listed after hierarchical clustering using the Spearman rank order correlation coefficient as dissimilarity. ...
FIG. 2.
Illustration of morphological changes induced by extracellular Ca2+ in WT cells. The +Ca2+ and −Ca2+ designations indicate high and low concentrations of Ca2+ in the medium, respectively. The grey, blue, ...

Isolation and characterization of novel calcium-sensitive mutants.

We systematically screened novel cls mutants using a yeast deletion mutant collection that covered all the nonessential genes. Initially, the growth rates of all the nonessential deletion strains of the MATa haploid collection were compared on YPD plates and YPD plates supplemented with 100 mM CaCl2. The growth rates of the candidate cls mutants in liquid medium were then determined. We defined the cls mutants as follows (Table (Table2):2): mutants showing robust growth in YPD medium and defective growth (optical density of <0.3) in YPD plus 100 mM CaCl2 medium at the time of full growth in YPD medium (growth type A); mutants showing slow growth even in YPD medium and growth defects in YPD plus 100 mM CaCl2 medium after 60 h of incubation (growth type B); and mutants having an optical density in culture of less than half that of YPD-grown cells after 20 to ~24 h incubation in YPD plus 100 mM CaCl2 medium (growth type C). Replacement of the yeast genes by the kanamycin resistance gene cassette was verified by PCR using genomic DNA as a template. The MATα cls strains showed the same phenotypes as the corresponding MATa cls strains. As a result, 58 cls mutants were identified (Table (Table2).2). All 10 previously cloned nonessential CLS genes were identified in this screening (23, 28, 30). The cls4 (cdc24) mutant was not among the screening strains because CDC24 is an essential gene (5, 20). Twenty-eight cls mutants were common to the recently isolated 64 mutants that are sensitive to 60 mM CaCl2 (pH 7.5) (26).

Summary of phenotypes of cls mutants

Table Table22 also summarizes the basic characteristics of the 58 cls mutants, including divalent cation sensitivity, vacuolar acidification, Pet phenotype (inability to grow on a nonfermentable carbon source), and intracellular Ca2+ content. As for divalent cation sensitivity, 16 strains showed Ca2+-specific sensitivity, whereas all of the vma mutants showed broad divalent cation sensitivity. All of the cls mutants grew in YPD medium that was supplemented with 150 mM KCl, which indicates that these strains are not sensitive to osmotic pressure. Observations of the growth phenotypes in YPG medium revealed that 45 cls strains had the Pet phenotype. Based on the results of quinacrine staining, 23 cls strains showed no vacuolar acidification, and 8 cls strains exhibited abnormal vacuolar morphology. From measurements of Ca2+ content with 45Ca uptake, 22, 12, and 24 strains showed higher (>150% of the WT level), similar, and lower (<70% of the WT level) intracellular Ca2+ levels, respectively, than the WT strain (1.06 ± 0.08 nmole calcium/mg of protein).

Morphological changes in cls mutants induced by a high concentration of extracellular Ca2+.

It has been reported that several yeast mutants change morphology under conditions of high Ca2+. For example, a calcium-sensitive cls4 mutant of S. cerevisiae stops dividing in the presence of 100 mM Ca2+, producing large, rounded, and unbudded cells (20). In addition, the zds1 mutant shows defective growth in rich medium in the presence of 50 to 300 mM Ca2+, with the cells forming an elongated bud and most of the elongated cells having a single nucleus at the mother/bud neck, which is characteristic of G2 delay (17). Therefore, we expected that some of the cls mutants would change their morphology in the presence of a high concentration of Ca2+. We analyzed the morphological changes of 60 strains, including the WT and zds1 mutant, in addition to the 58 cls mutants from five independent cultures under conditions of low and high concentrations of Ca2+ in the medium. We used the Mann-Whitney test (16) at a P value of <0.01 to detect differences between the two conditions for each parameter and counted the number of parameters significantly changed in each mutant (Fig. (Fig.3).3). The morphological changes of zds1 mutant cells were observed in 13 parameters (Fig. (Fig.3).3). Among them, C114_C (bud axis ratio of budded cell with two nuclei) gave the most significant increase. In addition to confirmation of Ca2+-induced elongated bud morphology in the zds1 mutant, we describe another 12 phenotypes associated with the zds1 mutant in the presence of high concentrations of Ca2+ (Fig. (Fig.3).3). The number of significantly changed parameters detected in at least one strain was 278 out of 501, whereas 128 of these would be expected to be detected by chance (see Materials and Methods). Since the WT showed morphological changes in 11 parameters (Fig. (Fig.3),3), fewer than three of which would be expected to be detected by chance, the number of significantly changed parameters in the cls mutants was 10-fold higher than that detected in the WT strain. This suggests that the intensity and diversity of the effect of extracellular Ca2+ on morphological change vary for each strain.

FIG. 3.
Number of significantly changed parameters in calcium-sensitive yeast strains. Samples from five independent cultures under high and low Ca2+ conditions were characterized by triple-staining fluorescence microscopy and automated cell imaging ( ...

The cls mutants can be functionally classified based on the similarities of morphological changes induced by Ca2+, since our quantitative morphological analysis of yeast deletion mutants reveals that similar morphological changes are induced when similar intracellular functions are affected (22). In order to represent the similarities of the morphological changes between mutants, the modified U statistic was used in the data processing (see Materials and Methods). We applied hierarchical clustering analysis to the morphological vectors of cls mutants using the positive angles between two arbitrary vectors as the dissimilarity (Fig. (Fig.4).4). The red and green boxes in Fig. Fig.44 indicate increase and decrease of parameter values by Ca2+ treatment, respectively. Several mutants showed similar color patterns, suggesting that they share similar Ca2+-induced morphological changes. On the other hand, different color patterns are shown in other strains, suggesting that there is a wide variety of the response pattern in the cls mutants.

FIG. 4.
Cluster analysis of the cls mutants based on the similarities of the morphological changes. Dissimilarity indicates a positive angle (0 to 180°) between the vectors of 501 dimensions (see Materials and Methods). Blue values indicate the AU P value ...

To verify that the structure in Fig. Fig.44 is of biological origin and is not an artifact of the clustering procedure, the initial data from the yeast morphological response experiment transformed into the modified U statistic were randomized in three different ways and were clustered using the same procedure (see Fig. S1 in the supplemental material) (7). No similar structure resulted from any of these randomized data sets, indicating that the patterns seen in Fig. Fig.44 depict a biological order in the environmental responses of the strains. Subsequently, to detect robustly clustered strains, we applied the multiscale bootstrap technique (27). At a P value of >0.95, we detected seven classes for a total of 32 strains (Fig. (Fig.4).4). Of the seven classes, three (classes III, VI, and VII) included mutants that are already known to be functionally related. On the other hand, when we employed the log-transformed average method (which is the standard preprocessing step) instead of the modified U statistic, fewer classes consisting of fewer mutants were detected (see Fig. S2 in the supplemental material). In addition, vma mutants were divided into at least two classes. These results indicate that the modified U statistic is effective in identifying the class that is consistent with the functionally related mutants.

In order to understand the properties of each class of mutant, the characteristic common morphological changes of each class should be described. We detected the parameters whose values were coherently changed in the same direction in each class at a P value of <0.01, and these are summarized in Fig. Fig.55 (see Materials and Methods). The red and green boxes in each class indicate parameters where values were significantly and coherently increased and decreased, respectively, by Ca2+ treatment. The patterns of the colored boxes were different among classes, suggesting that the patterns of morphological changes common in each class are unique to the class (Fig. (Fig.5).5). When the parameters that represented the coefficient of variance were discarded from all the detected parameters, the numbers of parameters were 37, 105, 28, 28, 28, 64, and 126 in classes I to VII, respectively. As examples, class I mutants contained a large nucleus and showed accumulation of small buds during growth in the Ca2+-rich medium (see Fig. S3a in the supplemental material). When modified U values of D174_C (maximal distance between nuclear gravity center and nuclear outline in bud) and C123 (small bud ratio to budded cells) are displayed on a two-dimensional scatter plot, class I mutants are plotted near to each other and are coherently far from coordinate origin (Fig. (Fig.6A).6A). Similarly, the cell sizes of class III mutants were considered small because the long-axis lengths of the whole cells were short, and cell roundness was increased (Fig. (Fig.6B;6B; see Fig. S3c in the supplemental material), in contrast to the large cell sizes of mutants of classes II, VI, and VII (Fig. (Fig.6C;6C; see Fig. S3b, f, and g in the supplemental material). In classes II, VI, and VII, actin delocalization was also observed (Fig. (Fig.6C;6C; see Fig. S3b, f, and g in the supplemental material). As shown in Fig. Fig.6D,6D, the bud axis ratio of budded cells gave the most significant increase in the zds1 mutant. These results suggest that the morphological changes induced by Ca2+ differ among classes and that mutants that do not belong to any class show different morphologies from those of all the other mutants. Therefore, we conclude that cls mutants show various morphological changes when grown in a high concentration of Ca2+.

FIG. 5.
Coherently changed parameters in each class. Dissimilarity indicates a positive angle (0 to 180°) between the vectors of 501 dimensions (see Materials and Methods). Blue values indicate AU the P value (calculated using the multiscale bootstrap ...
FIG. 6.
Two-dimensional plots of coherently changed parameters in each class. Color areas of yellow, pink, cyan, green, purple, orange, and blue indicate distribution area of parameters in mutants of class I, II, III, IV, V, VI, and VII, respectively. Gray circles ...


With regard to the high-dimensional and quantitative phenotypic traits, we show that a high concentration of extracellular Ca2+ induces a wide variety of morphological changes in cls mutants. The quantitative data such as morphological parameters include a dispersion which is the variation of values caused by experimental errors. This phenotypic study means that we can input not only the central value (e.g., mean and median) but also the dispersion (e.g., standard deviation and quartile deviation) to the high-dimensional cluster analysis using the data obtained from replicated experiments. Qualitative or categorical phenotypes have been used for classification of mutants without consideration of the dispersion of the data. Recently, in a gene expression profiling study, classes that consisted of genes with similar expression patterns were estimated by probability (3, 27). In the present study, more accurate and detailed phenotypic analyses were performed to identify classes of mutants with similar phenotypes based on probability. The method that we used is applicable to any quantitative phenotype (even a categorical phenotype) that is obtained from replicated experiments. Therefore, this method represents a powerful method for large-scale phenotypic analysis.

Identification of phenotypically similar classes.

Replication of the experiment is important when phenotypes obtained from CalMorph are used for phenotypic analysis. Phenotypic analysis using CalMorph was previously performed by Ohya and coworkers (22). However, they analyzed the data obtained from a single experiment, which was not replicated. Therefore, the data included experimental errors; this makes it difficult to perform detailed analyses, such as the identification of mutants that have similar phenotypes. Using the data set obtained from replicated experiments with the 58 cls mutants, we detected and characterized classes of mutants that showed similar phenotypes at a P value of >0.95, and we detected coherently changed parameters in each class at a P value of <0.01.

The modified test statistic derived from transformation of the data from the replicated experiments enabled us to use parameters with values that showed different distributions for the clustering and to summarize the morphological similarities. Initially, we calculated the U statistic obtained from replicated experiments under the two conditions. Then, the U statistic was modified to reflect the direction of change and applied to the cluster analysis. Since the calculation process is based on the rank-order method, all of the parameter values were transformed to the same distribution irrespective of their original distributions. Therefore, this preprocessing method is applicable to any quantitative phenotypes that show different distributions.

Better clustering results can be obtained using the modified U statistic rather than the log-transformed average. In the analysis of expression data from microarrays, the standard preprocessing involves log transformation of the expression values, i.e., the Cy5/Cy3 fluorescence ratios (7), and the expression values are averaged (11). When the morphological data were applied to the cluster analysis after this standard preprocessing step, few classes that contained functionally related mutants were identified (see Fig. S2 in the supplemental material). On the other hand, when the cluster analysis was performed after preprocessing with the modified U statistic, several classes of functionally related mutants, such as iron ion transporter (class III), class C VPS (class VI), and VMA (class VII), were identified (Fig. (Fig.4).4). These results suggest that the modified U statistic is effective in the classification of functionally related mutants.

Cluster analysis application.

Having classified and characterized the cls mutants based on morphological changes, we considered five potential problems: (i) the sample size for the clustering, (ii) lack of unity in the data types of the parameters, (iii) the selection of a dissimilarity metric, (iv) validation of the clustering results, and (v) extraction of characteristic phenotypes. First, it is known that a clustering produced with a sample size of less than 50 (which is typical of a microarray study) is generally not reproducible (8). In the present study, we used 60 samples in the clustering of the mutants.

Second, the data type is restricted to only one type when the cluster analysis is applied (11), although the parameter outputs from CalMorph have data types of length, number of cell, coefficient of variation, etc. To overcome this problem, we made the data type uniform by transforming the parameter values to the modified U statistics.

Third, some dissimilarity metrics, such as Euclidean distance and the correlation coefficient, were expected to group several mutants as “weak-phenotype mutants”, since some mutants were weakly affected by Ca2+ (Fig. (Fig.3).3). Therefore, we needed to extract the values that represented the nature of Ca2+-induced morphological change from the morphological vectors of the mutants. The magnitude and direction of a morphological vector correspond to the affected intensity and the nature of the morphological change, respectively (see Materials and Methods section). We accomplished the comparison of the nature of morphological change using angles as the dissimilarity.

Fourth, unsupervised classification of high-dimensional data should be validated using resampling-based procedures (1). The validation methods for the clustering results based on the resampling procedures have been reported in the methodology for microarray data analysis (3, 27). The classes that consisted of robustly clustered mutants were identified using the approximately unbiased (AU) P value, which was calculated by multiscale bootstrap resampling (27). We applied this validation method to our clustering data, thereby confirming the results.

Fifth and last, in the past, there have been no suitable methods for the extraction of the characteristic phenotypes of individual classes. To select the characteristic parameters, we estimated the probability of the coherency of changed parameters among the mutants in the identified classes. We discovered that the distribution of the sum of the modified U statistics in each class followed the theoretical distribution of the U statistic. As a result, at a P value of <0.01, many parameters that were coherently changed by Ca2+ were detected in each class (Fig. (Fig.55).

Morphological changes in cls mutants caused by a high concentration of extracellular Ca2+.

A high concentration of extracellular Ca2+ induced various morphological changes in the WT yeast strain (Fig. (Fig.2).2). In the WT, 13% of the parameters (65/501) were detected at a P value of <0.01 between the two conditions for 10 treated samples (Table (Table1).1). This is a strikingly high number of affected parameters, since deletion mutants with the same or more levels of morphological alteration (33/254) numbered 92, which represents <2% of the 4,718 nonessential mutants (22). In addition, the effects of a high concentration of extracellular Ca2+ on morphological properties were extremely variable, with changes in cell shape, position of the nucleus, location of actin patches, angle of budding, and wideness of neck.

It should be noted that the Ca2+ responses of the cls mutants varied more than those of the WT. The number of significantly changed parameters for all the cls mutants for the two conditions (Fig. (Fig.3)3) was at least 10-fold higher than that of the WT, which indicates that a greater variety of morphological changes occurs in the cls mutants. In other words, the use of a comprehensive set of cls mutants enabled the discovery of a higher number of different responses to Ca2+.

Some of the cls mutants were robustly clustered by the nature of morphological change induced by Ca2+. In class I, which included the WT, the nuclei of the mutants were larger (Fig. (Fig.6A6A and see Fig. S3a in the supplemental material). The mutants of class VII were vma mutants, which are known to be functionally related. The common phenotypic change to larger cells in this class was consistent with the previously reported phenotype of vma mutants (34). In addition, in this class, decreased actin localization was observed (Fig. (Fig.6C6C and see Fig. S3f in the supplemental material). Actin delocalization was also observed in classes II, VI, and VII, whereas no actin parameters were detected in the WT for the two conditions for five treated samples (P < 0.01). Class VI mutants comprised class C vps mutants, which are also known to be functionally related (25). Class III mutants, which appeared as small cells when grown in a high concentration of Ca2+, are iron ion transporter mutants (13). None of the detected classes included the cls2/csg2 mutant, which functions in releasing Ca2+ from the lumen of the endoplasmic reticulum (28). These results suggest that the various intensities and patterns of Ca2+-induced morphological changes in cls mutants depend on the gene functions.

The observation of an elongated bud under high Ca2+ conditions in the zds1 mutant cell (17) is one of the morphological changes reportedly induced by Ca2+. We confirmed that the zds1 mutant formed elongated buds, since the parameter of C114_C (bud axis ratio of budded cell with two nuclei) was significantly increased after Ca2+ treatment of the five samples (P < 0.01). However, the bud morphology of the cls mutants with exception of class V cls mutants was coherently round rather than elongated in the presence of a high concentration of Ca2+ (Fig. (Fig.6D;6D; see Fig. S3 in the supplemental material). It should also be noted that no cls mutants were robustly clustered with the zds1 mutants. These results imply that the CLS genes of the seven classes are involved in pathways distinct from that of ZDS1.


In the present study, we showed various effects of Ca2+ on yeasts using high-dimensional and quantitative phenotypic approaches. This morphological phenotyping of cls mutants may enable us to obtain the clues to multiple Ca2+-regulatory pathways including Ca2+ signaling pathway, Ca2+-sensing mechanism, cytoskeleton organization, intracellular Ca2+ homeostasis, Ca2+-mediated stress response, and Ca2+-dependent proteolytic system. The current method with the modified U statistic facilitates further phenotypic analysis of microarray data. For example, if the expression data on yeasts grown in the presence of Ca2+, sodium, or calcineurin inhibitor are compared with the corresponding morphological data collected under the same conditions, new insights may be obtained into the role of Ca2+ in yeasts (32). The expression of gene function can also be analyzed by tracing the morphological phenotypes of mutants, given that our quantitative phenotypic analysis monitors the intensities of changes caused by mutation. If the phenotypes of cells with loss of gene function are analyzed multilaterally against the “-omic” information (e.g., proteomic, genomic, and transcriptomic), a new phase of “phenomics” research may emerge.

Supplementary Material

[Supplemental material]


We thank Tamao Goto and Yuka Kitamura for technical assistance, Mizuho Sekiya for providing advice, the members of the Laboratory of Signal Transduction at the University of Tokyo for stimulating discussions, and the community of R developers for their work.

This work was supported by the Institute for Bioinformatics Research and Development of the Japan Science and Technology Agency.


[down-pointing small open triangle]Published ahead of print on 9 March 2007.

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