Abstract
The growth of isogenic cells in the same environment shows a large degree of variability with consequences for resistance to antibiotics, chemotherapy, and environmental stress. In order to characterize transcriptional differences associated with this variability we have developed a method – FitFlow – that enables sorting of subpopulations by growth rate. Here we report an altered transcriptome in the slow growing subpopulation that partially resembles that of slow growing cells in a chemostat. The slow growing subpopulation shows a transcriptional stress response, up-regulates transposons, and expresses more chromosomal, viral and plasmid-borne transcripts. Moreover, slow cells have reduced RNA polymerase fidelity and exhibit a DNA damage response. Finally, addition of an antioxidant reduces the size of the slow subpopulation, suggesting that oxidative stress is causative for slow growth in subpopulations. Our results suggest that the slow growing subpopulation explores a larger genotypic - and so phenotypic - space.
INTRODUCTION
Fitness, in single-cell organisms and cancer, is the number of viable offspring a cell is able to produce in a given amount of time, and is typically measured as a population average trait1. However, growth is highly variable (Supplementary Fig. 1)2 and any single cell will differ from the population average, resulting in subpopulations that, at least temporarily, maintain a lower growth rate. The presence of such a slow-growing subpopulation has been observed in microbes, metazoans, and tumor cells, and has been implicated in persistence, stress sensitivity, bacterial antibiotic resistance3-5 and chemo-resistance in cancer6-8. While changes in growth and its association with changes in gene expression patterns has been extensively studied at the population average level, much less is known about the transcriptional programs of the slow growing subpopulations.
At the population level, growth rate can be changed environmentally by changing growth condition9 or as a result of genetic perturbations10,11. These changes in growth rate are accompanied by intracellular changes in gene expression. Slow growth is generally associated with a transcriptionally stressed phenotype whereas fast growth is associated with upregulation of ribosomal genes9. Altered mean population-level growth rate has consequences on fitness. Fast-growing E. coli are more sensitive to stress and can utilize fewer nutrient sources than their slow-growing counterparts, and this stress sensitivity is correlated to expression of sigma factor RpoS12,13.
Gene expression shows a large degree of non-genetic within-population variability (noise)14,15 and as such one would expect this variability to be associated with downstream phenotypes, such as growth. Previous microscopy-based studies have shown that slow and fast growing subpopulations differ in the expression level of a few genes2,16 and that genetic perturbation can change the shape of the growth rate distribution16,17. However, the general gene expression programs of the slow growing subpopulation are not at all characterized. This is because existing microscopy-based methods can measure single cell growth and gene expression for at most three genes at a time, making characterization of large scale gene expression programs in slow and fast subpopulations a laborious process. In yeast only a single gene, TSL1, is known to correlate with growth rate within a population16. Here we present a novel method that enables an unbiased characterization of the transcriptomes of slow and fast subpopulations using FACS sorting and RNA sequencing.
Here we describe the development of FitFlow (Fitness Flow-cytometry), the first method able to completely characterize subpopulations that differ in their fitness (Fig. 1). We use FitFlow to characterize the transcriptome of slow and fast growing subpopulations of budding yeast, and validate the biological conclusions using time-lapse microscopy. We find that the slow growing subpopulation has a high level of transcriptional diversity: more annotated genes, novel genes and antisense transcripts are transcribed, and genes on the 2-micron plasmid and two endogenous viruses are highly expressed. In addition, RNA polymerase in slow growing yeast and nematodes is more error prone, resulting in increased mRNA diversity at the nucleotide level. Furthermore, the slow growing subpopulation has higher expression of transposons and shows both a transcriptional and post-translational DNA damage response, suggesting that these cells may have higher rates of transposition and DNA mutation. Addition of Vitamin C, an antioxidant, reduced the fraction of slow growing cells, suggesting that oxidative stress is causative for slow growth in a subset of the slow growing cells. Taken together, these results suggest that, because the growth rate within a population is highly nonuniform, the potential for epigenetic and genetic changes may be different among cells within a population, in a manner that depends on the growth rate of individual cells.
RESULTS
A method to sort yeast by single-cell fitness
In order to completely characterize the differences in intracellular state between fast and slow subpopulations in an unbiased manner we developed a novel method (Fitness-Flow-Cytometry, FitFlow) for sorting cells based on quantitative differences in single-cell fitness (the number of progeny a single cell can produce in a given amount of time). In budding yeast, the daughter cell remains attached to the mother cell following cytokinesis with the daughter cell then expressing an enzyme, chitinase, that degrades this linkage44 (see materials and methods). A chitinase knockout (cts1Δ) results in cells that do not separate and thus form attached microcolonies of cells descended from a common ancestor (Fig. 1, Supplementary Fig. 2). cts1Δ microcolonies are easily separated by brief sonication (Supplementary Fig. 2), enabling us to grow cells in liquid media, break apart the microcolonies, and allow them to reform as cells grow and divide. The single cell fitness distribution can be determined by measuring the distribution of the number of cells per microcolony, using a Histone-GFP fusion protein (Hta2-GFP) (Fig. 1). This method gives results comparable to growth rates measured by time-lapse microscopy (Supplementary Fig. 1, Supplementary Fig. 2). However, in contrast to microscopy, cells can be sorted by FACS, enabling large-scale characterization of cells that differ by quantitative differences in fitness. We sorted 50,000 microcolonies into each of three bins of single-cell fitness and performed RNA-seq on each sorted population. We found significant transcriptional differences in the slow and fast subpopulations that recapitulate what is known about these two populations in yeast 16 (Supplementary Fig. 3). In addition, the slow growing subpopulation expresses more genes involved in alternative carbon and nitrogen source metabolism, suggesting that these cells might be capable of growing on more heterogeneous environments, similar to slow growing E. coli12 (Supplementary Fig. 3). This slow growth is a heritable state (Supplementary Fig. 4), however, the slow growing subpopulation eventually recovers (Supplementary Fig. 5).
The slow growing subpopulation expresses more genes
The faster a population grows, the greater the proportion of the transcriptome is dedicated to ribosome production9. In rapidly growing cells, 50% of mRNA synthesis is dedicated to ~10% of genes18. Consistent with these population-level results, we found that, in the fast subpopulation, the most highly expressed genes account for a large fraction of the total transcriptome. In contrast, in the slow subpopulation, the rest of the genome is more highly expressed (Fig. 2). This is not an artifact of detection bias due to fast cells having higher expression of highly expressed genes (Supplementary Fig. 6, Supplementary Fig. 7). In addition to expressing more genes, slow growing cells also express more unique gene functions (Fig. 2a). An increase in transcription of highly expressed genes results in a far greater commitment of cellular resources than a similar fold-change in the transcription of genes with low expression. This suggests that the slow subpopulation shifts resources from high expression of only a few genes to the more moderate expression of a large number of genes. While deletion of most genes does not cause a growth defect in rich media, there exists some condition in which each gene is useful19. We find that these slow cells have higher expression of genes that, in fast growing cells, have little or no expression (Fig. 2). Furthermore, novel (unannotated) and antisense transcripts are expressed at a higher level in the slow growing subpopulation (Fig. 2b). These results show that the slow growing subpopulation expresses more genes and unique enzymatic and cellular functions, which may, in turn, allow them to explore a larger phenotypic space.
Correlation between subpopulation and other transcriptomes
In order to better understand the details of this transcriptional shift, we analyzed groups of genes that are differentially expressed between slow and fast subpopulations. Genes involved in transcription and cytoplasmic translation are more highly expressed in fast growing cells, however, the number of expressed transcription factors is actually higher in slow cells (Fig. 3a,b), suggesting that they diversify their transcriptional program by increasing the number of expressed transcription factors. In addition, genes involved in respiration (Fig. 3a) are more highly expressed in slow growing cells, as are genes involved in mitochondrial translation (Fig. 3c), suggesting that the slow growing subpopulation is respiring.
Genetic and environmentally determined growth differences show similar changes in transcriptional profiles9,11. We therefore wondered if transcriptome changes associated with subpopulation growth differences are similar to differences associated with average population growth rate alteration. For each gene, we computed the log ratio of expression between the fast and slow subpopulation growth bins. We then compared this log ratio (growth associated gene expression change) to the log ratio derived from growth rates altered via nutrient limitation in a chemostat9 (see Methods). Both mechanisms of changing growth have a common transcriptional profile: stress genes go up in slow growing cells, while ribosomal genes go up in fast growing cells (r=0.31, p<2e-65). Similar results are obtained when looking at gene expression as a function of growth rate determined by genetic perturbations11 (r=0.35, p<5e-121) (Supplementary Fig. 8). To visualize the extent to which subpopulation differences are similar to average population differences, we plot subpopulation growth-correlated gene expression changes (as measured by FitFlow) against average population growth-correlated expression changes (derived from data by Bauer et al.) (Fig. 3b-d). In particular, when looking just at the Environmental Stress Response (ESR) and ribosomal genes, the two transcriptional profiles show high similarity (r=0.68, p<2e-31). These results suggest that average population and subpopulation growth differences have some similarity at the transcriptional level, but that the slow growing subpopulation are not identical to environmentally slow growing cells.
We also observed significant differences between subpopulation and population average growth (Supplementary Data 1). The observed degree of correlation is not entirely due to technical or biological noise; large groups of related genes are differentially regulated in the two datasets (Fig. 3c). While we note that any differences may be due to fundamental differences in the media and growth conditions between batch and chemostat experiments, it is still informative to analyze the differences. While most ribosomal genes are up-regulated in the fast growing subpopulation, the components of the mitochondrial ribosome are more highly expressed in slow cells than in fast cells (Fig. 3c). This is in contrast to population average growth, in which the majority of ribosomal genes, including the ones involved in mitochondrial translation, are up-regulated in fast growing cells (Fig. 3c). In addition, the fast subpopulation down-regulates amino acid biosynthesis genes, whereas in fast average population growth these same genes are relatively up-regulated (Fig. 3c). Using data from an experiment in which yeast growing on glucose were shifted to glycerol20, we find that amino acid biosynthesis genes are up-regulated when cells are shifted from glucose to glycerol, but not during continuous growth on glycerol (Supplementary Fig. 20), suggesting that the up-regulation of these genes may be a response to a rapid decrease in growth-rate or part of the switch to respiratory growth. Moreover, proteasomal genes are up-regulated in the fast subpopulation but down-regulated in fast average population growth (Fig. 3c). To test the differential sensitivity of the subpopulation to proteasome inhibition, we grew pdr5Δ cells in the proteasome inhibitor MG132. Faster growing cells are slightly more sensitive to proteasome inhibition (Supplementary Fig. 9); the growth rate of the fast majority is decreased but the size of the slow tail remains the same.
Slow growers have oxidative stress and DNA damage
Stress may promote genomic alterations21-24. Consistent with this, we found that transposons are highly expressed in the slow subpopulation (Fig. 3a), but not in the slow average population (Supplementary Fig. 10). In addition, out of the nine genes that are up-regulated specifically in response to environmental DNA damage25, eight are up-regulated in the slow growing subpopulation (Fig. 3d). The exception, DIN7, is involved only in mitochondrial DNA damage repair26.
To determine if slow cells have increased nuclear DNA damage we measured Rad52-GFP foci27 using time-lapse microscopy. We found that cells in the slow growing subpopulation have Rad52 foci (Fig. 3e), and that cells with a Rad52 focus show a short-term decrease in growth rate (Supplementary Fig. 12). This suggests either that slow growth is causative of an increase in DNA damage, or that DNA damage sometimes, but not always, causes cells to grow slowly. Oxidative stress can cause DNA damage28. We therefore grew wild-type yeast in the presence of the water-soluble antioxidant L-ascorbic acid (vitamin C). We found that vitamin C decreases the fraction of slow growing microcolonies (Fig. 3f, Supplementary Fig. 13). These results suggest that, DNA damage and/or oxidative stress may be a cause of slow subpopulation growth.
Stresses alter the single-cell fitness distribution
The above results suggest that internal stresses, such as DNA damage or oxidative stress may result in heritable changes in growth rates. To determine if extracellular stresses can alter the growth rate distribution, we grew wild-type cells in different environmental stresses and measured the distribution using microscopy. We found that stresses can alter the growth rate distribution independent of their effect on the mean (Supplementary Fig. 14-16). For example, 7mM MnCl and 100mM LiAc result in the same mode growth rate, but MnCl results in a far wider distribution (Supplementary Fig. 14). Addition of H2O2 across a 200-fold range resulted in a 20% decrease in growth rate but no change in the shape of the distribution (Supplementary Fig. 16). None of the conditions tested (save vitamin C) results in a decrease in the slow growing subpopulation, consistent with the transcriptomics data suggesting that these cells are already stressed.
Slow growing cells express more selfish DNA elements
Additional selfish genetic entities other than transposons can also be induced by stress29, and might contribute to further genic diversity. We found that genes on the 2-micron plasmid, a small (~6kb) selfish plasmid, and from narnaviruses, a form of selfish RNA are more highly expressed in the slow subpopulation (Fig. 4a). In addition to transposons, the slow growing subpopulation exhibits higher expression of plasmid-borne and viral genes. The same higher expression of selfish DNA elements was also observed in slow growing cells in a chemostat (Supplementary Fig. 11).
Slow growing cells have lower RNA polymerase fidelity
Errors during gene expression can directly cause phenotypic diversity and, at least in some cases, error-induced phenotypic change can be epigenetically heritable due to the reprogramming of transcriptional networks30. To determine if the slow subpopulation exhibits more transcriptional diversity at the nucleotide level, we calculated the frequency of RNA-seq mismatches to the reference genome. We find that the slow growing subpopulation has more RNA-seq mismatches with the reference genome, suggesting decreased RNA polymerase fidelity and, therefore, increased transcriptional diversity at the nucleotide level (Fig. 4b). While most mismatches are technical errors, the technical error rate is highly reproducible within an experiment (Supplementary Fig. 17), and can be treated as a constant.
To test if the observed increased mRNA error rate is a general property of slow growing and or stressed cells, we analyzed additional RNA-seq data sets in which slow and fast growing cells were compared: yeast growing with and without H2O231, and yeast growing in excess glucose (batch culture) versus glucose limitation (in a chemostat)32. In all cases, the slow culture has more sequence errors (Fig. 4b), suggesting that increased mRNA sequence variation is a property of slow growing cells.
To determine if this is a microbe-specific phenotype, we analyzed data from an experiment in which nematodes were grown in 0.5% oxygen (hypoxia stress)33. Stressed C. elegans also exhibit an increased RNA polymerase error rate in response to stress (Fig. 4c), suggesting that this may be part of a general stress response across all organisms. This change in error rate is constant across all levels of RNA-seq coverage and is not due to differential gene expression (Supplementary Fig. 17).
The increased transcriptome error rate in slow growing and stressed cells could stem from either an increased RNA Pol II error rate, or an increase in genomic DNA mutations. We find that more highly conserved genes have a lower transcriptional error rate (Fig. 4d), suggesting that error rate is a regulated process. There are three reasons to favor RNA Polymerase as the source of these errors. First, the DNA polymerase error rate34 is ~5e−10, whilst the RNA Pol II error rate35,36 is ~10−5 and our measured change is ~3e−5. The increase in errors that we detect in slow growing cells is similar to the 30% increase in RNA polymerase error rate observed in an rbp9 strain35, but an increase of more than 100,000-fold in the DNA polymerase error rate. Second, in the H2O2 stressed cells, the increased error rate is detected within 30 minutes, which is not consistent with DNA polymerase as a source of errors. Third, RBP9, which is involved in RNA Pol II fidelity in vivo35, is down-regulated in the slow growing subpopulation more than the rest of the RNA Polymerase complex (Supplementary Fig. 17), suggesting imbalanced Pol II stoichiometry as a possible mechanism for reduced transcriptional fidelity.
DISCUSSION
In summary, by developing a method to physically sort slow growing subpopulations, we have presented here the first global and unbiased view of changes in cellular state associated with differences in growth rate within one isogenic population growing in the same environment. Transcriptome analysis suggests that cells from the slow growing subpopulation are respiring and exhibit the transcriptional hallmarks of a stress response: down-regulation of cytoplasmic ribosomes and up-regulation of the environmental stress response genes. Furthermore, the cells from the slow growing subpopulation express more transcripts from the 2-micron plasmid, transposons, endogenous virus-like RNAs, possibly as a means to increase diversity37; alternatively, the 2-micron plasmid and viruses may be trying to “jump ship” from the stressed cell, similar to stress-induced herpes outbreaks38,39. Cells in the slow growing subpopulation also express more of their genome, more novel and antisense transcripts, and there is more nucleotide diversity within each transcript, likely due to a decrease in transcription fidelity. Thus, the slow growing subpopulation shows increased transcriptional diversity throughout the genome and may increase genic diversity in order to deal with future, unforeseen stresses.
While isogenic cells in the same environment are known to grow and divide at different rates, the intrinsic and extrinsic factors that cause cells to become slow or fast growing are not well understood. At the population level, stress reduces growth rate, and the transcriptional response to stress is highly stochastic40. Our results show that the growth-rate response to stress is also highly heterogeneous. The relationship between stochastic differences in the transcriptional response to stress and growth rate within that stress remains to be elucidated.
Furthermore, cells are exposed to mild stresses growing in minimal media; cellular metabolism produces reactive oxygen species, and wild-type cells exhibit spontaneous Rad52 DNA damage foci41. We found that cells with Rad52-GFP foci gave rise to slow growing microcolonies and that addition of the antioxidant vitamin C reduced the fraction of slow growing cells. These results suggest that DNA damage or oxidative stress may cause cells to switch into a slow growing state. The cellular growth rate response to some stresses is far noisier than for other stresses; growth in 2M sorbitol produces the same modal microcolony growth rate as growth in 1mM CoCl2, but the growth rate distribution in CoCl2 is significantly wider. Thus, certain, but not all types of intrinsic or extrinsic stress may cause cells to switch into a slow growth state. If this slow growth state is stress resistant, as results in prokaryotes4 and yeast16 suggest that it is, then this may be a bet-hedging mechanism in which small amounts of stress lead to slow growth and subsequent stress resistance of a subset of the population, while the majority of the population continues to grow quickly at the cost of remaining stress sensitive.
Stress and slow growth may increase both transposition14,15 and the DNA mutation rate42,43, and the cell is capable of altering the fidelity of both DNA29 and RNA26 polymerases. Because the growth rate within a population under stress is highly non-uniform, the potential for heritable changes may be different among cells within a population, in a manner that depends on the growth rate of individual cells. Therefore a complete understanding of the way in which organisms evolve will require the continued development of novel methods for isolating and characterizing subpopulations that differ in dynamic phenotypes.
Materials and Methods
Yeast strains and media
All yeast strains are derived from BY4741 and were generated by homologous integration of PCR products. For all experiments, yeast were grown in synthetic complete media with 20% glucose (SCD).
Overview of the FitFlow Method
During budding, a chitin ring is formed in the cell wall at the bud neck between the mother and daughter. Following cytokinesis, bud neck contraction ends with the formation of a chitin septum that divides the mother and daughter. Both mother and daughter then build cell walls around this chitin septum. Finally, the chitin septum is degraded by chitinase, and the two cells separate44,45. In the absence of chitinase, the cell walls between the mother and daughter remain continuous. Because the cell wall consists crosslinked chitin, mannoproteins and glucans (polysaccharides), the mother and daughter remain attached to each other by covalent bonds. The cts1 deletion does not affect the HTA2-GFP fluorescence distribution, the ura3::TEFpr-mCherry distribution, or the growth rate (Supplementary Fig. 18).
In order to collect a large subpopulation of cells with the same genotype and environment, but with different microcolony growth rates, an HTA2-GFP cts1Δ strain was grown overnight so that it reached an OD of 0.4 in the morning. Cells were then placed in a room temperature water bath and sonicated for 10 seconds at an amplitude of 10 using a Branson Digital Sonifier. 250,000 G1 cells were then isolated by sorting at room temperature on the Histone-GFP signal. Cells were then allowed to grow into microcolonies at 30°C for four hours (two population doublings). Approximately 2ml of cells from a single tube were then placed on ice, into a pre-chilled BD FACSAria, and sorted for 30 minutes at 4°C by Histone-GFP content per microcolony. Cells were sorted into three bins: the lowest 10%, the median 10%, and the highest 10%. Cells were sorted into prechilled 1.5ml eppendorf tubes containing 250ul SCD each. At least 50,000 microcolonies were isolated in each bin. Cells were then transferred on ice to a centrifuge at 4C, spun at 14000 RPM (20817×g) for two minutes, the media removed, and the resulting cell pellet frozen at −80 for RNA extraction. All bins were treated identically throughout the process. Cellular RNA was extracted using the Epicenter MasterPure RNA Purification Kit, and Illumina sequencing libraries were prepared using the Truseq Stranded mRNA kit, and sequenced on a HiSeq2000 with at least 20,000,000 50bp sequencing reads per bin.
RNA-seq expression levels and RNA polymerase fidelity
RNA-seq data from all experiments were processed as follows. FASTQ files (SRAs: SRR636634, SRR636633, SRR636635, SRR636636 SRR636637, SRR636638, SRR636639 SRR636640, SRR636641, SRR636642, SRR636643, SRR636644, SRR636645, SRR636646, SRR636647, SRR636648, SRR636649 and SRR636650 for the stress experiments31, and SRR453566, SRR453567, SRR453568, SRR453569, SRR453570 and SRR453571 for the batch vs chemostat experiments32) were downloaded. FASTQ files from FITFLOW experiments were downloaded from the CRG genomics facility.
We performed two different types of expression analysis: de-novo transcriptome assembly to identify novel transcripts, and guided assembly to compute differential expression of annotated transcripts. For the latter, differential gene expression was performed using cufflinks46 (--max-bundle-frags 100000000 --frag-bias-correct --multi-read-correct) and cuffdiff (--multi-read-correct), using the R64 release of the yeast genome with viral and 2-uM plasmid sequences added. The annotation file used was the R64 gff with viral and 2-uM plasmid sequences added.
To identify novel transcripts, cufflinks was used in unguided mode. The raw RNA sequencing data were mapped to the reference genome R64 with bowtie47 using the default parameters. The mapped reads were assembled into transcripts using cufflinks, not using the reference annotations as a guide, with parameters (-u -b --overlap-radius 30 --min-isoform-fraction 0.01). The resulting unguided assembly was then compared to the reference annotations from SGD using cuffcompare, which determines how the assembled transcripts overlap the reference annotations. cuffcompare sorts the assembled transcripts into 12 class codes depending on the intersection of each transcript and the reference annotations; class codes ‘u’ and ‘x’ designate transcripts that do not overlap any annotated features, and transcripts found overlapping an annotated feature on the opposite strand, respectively.
We found that the absolute number and location of identified antisense and novel transcripts is not very reproducible across biological replicates. As an alternative method, we combined sequencing reads from all data, and performed a single unguided assembly using cufflinks. The unguided assembly was then used as a guide to run Cufflinks on each group individually. This pooling approach decreased the variation between assemblies due to Cufflinks splitting a transcript or joining adjacent transcripts in one group and not in another. The guided assemblies of each group were then compared to the reference annotations with cuffcompare. This approach produced the same qualitative result: slow growing populations show higher expression of more novel and antisense transcripts.
To measure differential RNA polymerase error rates, reads were trimmed to remove the first five bases, which are of low quality. The qualitative difference (slow growers have more mismatches) is insensitive many different types of read trimming and filtering, as all experiments were sequenced in the same lane and similar error profiles. Reads were then aligned using bwa-aln48 to the R64 release of the S cerevisiae genome with default parameters. Relative mRNA error rates in C elegans were determined using SRAs SRR1560104 SRR1560105, SRR1560106 and SRR156010733. Reads were processed identically except that the alignment was performed with bwa-mem. For both yeast and worm data, samtools49 mpileup (-q 30 -d 100000 -C50) was used to identify positions at which RNA-seq reads differed from the reference genome. The resulting mpileup files were then processed using a custom perl script to count the number of mismatches relative to the total number of mapped bases.
Differential expression and GO term analysis
The differential expression of manually selected groups of genes (eg: the DNA damage response genes) were obtained directly from the FPKM outputs given by cuffdiff, as described above. GO term analysis was performed using GOrilla50 using the default p-value threshold of 10−3. For GO term analysis using GOrilla, genes were sorted by the log2(FPKM_fast / FPKM_slow) with the constant term 0.1 added to remove zeros.
Computing subpopulation growth-correlated gene expression
To quantify for each gene to what extent it is upregulated in either subpopulation slow or fast growing cells we computed the log2 ratio of fast versus slow bin FPKM (Fragments Per Kilobase of exon per Million mapped reads) obtained from RNAseq. Thus, our growth-correlated expression metric is log2(FPKMfast) – log2(FPKMslow)
Computing mean population growth-correlated gene expression
To quantify how gene expression changes with growth across environmentally imposed conditions we downloaded the data from Brauer et al. 2008. This data comprises microarray measurements across 36 different continuous culture (chemostat) conditions. Their data is computed as the log2 ratio of the sample signal (spot intensity) over the signal in the reference channel (glucose-limited chemostat grown at a dilution rate of 0.25 h−1). Thus, we can write this as log2(Sratio,sample) = log2(Ssample) – log2(Sref) where Ssample and Sref are the microarray spot intensities of the sample and reference respectively. To compute, for each gene, one measure of growth related expression we computed, for each gene, the average value for fast growth conditions and for slow growth conditions. The former is composed of all conditions with a chemostst dilution time of 0.05 h−1. The latter is composed of all conditions with a chemostat dilution time of 0.3 h−1. We then take the log2 ratio of the fast over the slow values, thus:
Where log2(Sratio,fast) and log2(Sratio,slow) are the average log2 ratios of the fast or slow samples over the reference signal, log2(Sfast) and log2(Sslow) are the average fast signal and slow signals.
Genetic variability as a function of growth rate
Variation at each position in the transcriptome was determined using samtools mpileup. The genetic variability of the transcriptome was measured by computing, at each position in the genome, the total number of RNA-seq reads, and the number of reads that differ from the reference genome. Positions in which more than half the reads differ from the reference genome were discarded, under the assumption that these represent genomic differences between the experimental strain and the reference strain. Because errors are rare compared to the coverage of the genome, the error rate at any one position cannot be measured. Therefore, the transcriptome-wide or transcript-wide error rate is the total number of mismatches at all positions, divided by the total number of reads at all positions. To calculate the per-expression level error rate, positions were grouped by the total number of reads, and binned into groups of at least 100,000 different genomic positions with identical coverage. Because the dominant source of differences between RNA-seq data and the reference is technical (eg: sequencing errors, PCR & reverse transcription errors), and the frequency of these errors differs between labs, for each set of data we calculate the average error rate across all experiments performed by that lab. We then compute the relative increase or decrease in error rate for within each experiment.
Microscopy
Microscopy was performed similar to that of Levy et al16. Prior to each experiment a 96-well glass bottom plate (Brooks Life Science Systems, MGB096-1-2-LG-L) was coated with 200ul of 200ug/ml concanavalin A (Sigma, typeV, Product # C2272) for 16 hours at 37°C. The plates were then washed with water and allowed to dry for at least 24 hours 4°C.
Prior to microscopy, cells were grown overnight in 150ul SCD to saturation, diluted 1:50, and grown overnight a second time. For experiments in which stress or drug was used, cells were grown for at least 24 hours in the condition in which they were measured using microscopy. On the day of the microscopy experiment, cells were diluted 1:50 into 150ul SCD (+ drug/stress). Cells were grown for four hours, shaking, at 30C, and then diluted to an initial OD600 of 0.0007, and 80ul of cells were added into 320ul of media in a glass bottomed microscopy plate, resulting in an initial OD600 of 0.00014. The plate was then sealed with PCR film, centrifuged, and imaged for at least 12 hours at 30°C using an ImageXpress Micro (Molecular Devices) with a 10x objective.
Microcolony segmentation of brightfield images was performed using custom perl scripts. Bright field images were analyzed in two steps. First, for each image the mean pixel intensity and standard deviation (s.d.) were calculated, which allowed identification of the brightest and the darkest pixels of the image. Pixels with intensities greater than mean+2.5×s.d. were considered as the brightest pixels of the image whereas the pixels with intensities lower than mean-2.5×sd were considered to be the darkest pixels. On top of that, Sobel edge detection was used to identify drastic change in pixel intensity in the image that happens at the yeast cell boundary. The pixels satisfying at least one of the above criteria were clustered and centroids for all clusters were calculated. In the second step, the centroids of clusters were computationally aligned across consecutive time points. Clusters showing at least doubling of area over the whole period of observation were considered as yeast microcolonies. If two clusters touched each other during our observation, they were only followed until the time point at which they touched. The resulting raw data consists of area measurements for each microcolony, and the time associated with each measurement.
Images in the fluorescent channel were processed to measure intensity of GFP signal. For each image, mean fluorescence intensity and the corresponding standard deviation (s.d.) were calculated. Only pixels with intensities greater than mean+2×s.d. were considered in our analysis. In the next step, the fluorescent pixels of interest were computationally superimposed with the bright field images for calculation of maximum GFP intensity in a microcolony, which was calculated as the maximum fluorescent pixel intensity within the microcolony area. The resulting raw data consists of the sum, average and maximum GFP pixel intensity in each microcolony at each time point.
To calculate microcolony growth rates independent of both lag and competition for resources as the cell density increases we use the maximum microcolony growth rate. Microcolony areas were natural-log transformed and area regressed against time. The growth rate for each microcolony is the maximum slope that spans at least three time points (180 minutes) with an R2 >= 0.95. Using this method, growth rates were obtained for 99.8% of microcolonies.
To calculate the fraction of slow growing microcolonies, a tangent line is fit to the point of maximal slope in the cumulate distribution of the microcolony growth rates. In a uniform distribution, this line will explain 100% of the data. In a normal distribution, this line will explain most of the data, and the unexplained data will be symmetric in the bottom left and top right of the cdf. The fraction of slow microcolonies is (unexplained slow - unexplained fast), or zero if this value is negative.
Future adaptation of FitFlow for metazoans and bacteria
FitFlow relies on creating microcolonies of cells in which all cells in the microcolony are descended from a single cell. This method could be applied in bacteria using the drug cephalexin or FtsZ mutants, both of which cause E coli to form chains51. It is more difficult to force mammalian cells to remain covalently bound after cytokinesis. However, this is not a requirement. A DNA-dye pulse-chase or histone-GFP photoconversion52 would permit cells to be sorted by the number of divisions. In our experience with yeast, the Histone-GFP has a far narrower distribution than Carboxyfluorescein succinimidyl ester (CFSE), which is often used to determine the number of divisions cells have undergone. While it seems like an easy experiment to stain cell lines with CFSE or a DNA dye, and, after several divisions, sort and sequence, to the best of our knowledge, no one has done this experiment. This would enable FitFlow to be applied to mammalian cells.
Supplementary Material
Acknowledgements
We thank all the reviewers for their comments regarding the text, and for some great suggestions for key analysis and experiments that greatly increased our understanding of the slow growing subpopulation. This work was supported by grants to B.L. from the European Research Council Consolidator Grant (IR-DC 616434), Spanish Ministry of Economy and Competitiveness (BFU2011-26206), the AXA Research Fund, Agència de Gestió d’Ajuts Universitaris i de Recerca (AGAUR), and the EMBL-CRG Systems Biology Program. This work was supported by startup funds for L.B.C. from the department (DCEXS). R.D. acknowledges support from Swiss National Science Foundation through Early Postdoc Mobility Fellowship.
Footnotes
Competing financial interests: The authors declare no competing financial interests.
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