Abstract
As the genome encodes the information crucial for cell growth, a sizeable genomic deficiency often causes a significant decrease in growth fitness. Whether and how the decreased growth fitness caused by genome reduction could be compensated by evolution was investigated here. Experimental evolution with an Escherichia coli strain carrying a reduced genome was conducted in multiple lineages for approximately 1,000 generations. The growth rate, which was largely declined due to genome reduction, was considerably recovered, associated with the improved carrying capacity. Genome mutations accumulated during evolution were significantly varied across the evolutionary lineages and were randomly localized on the reduced genome. Transcriptome reorganization showed a common evolutionary direction and conserved the chromosomal periodicity, regardless of highly diversified gene categories, regulons, and pathways enriched in the differentially expressed genes. Genome mutations and transcriptome reorganization caused by evolution, which were found to be dissimilar to those caused by genome reduction, must have followed divergent mechanisms in individual evolutionary lineages. Gene network reconstruction successfully identified three gene modules functionally differentiated, which were responsible for the evolutionary changes of the reduced genome in growth fitness, genome mutation, and gene expression, respectively. The diversity in evolutionary approaches improved the growth fitness associated with the homeostatic transcriptome architecture as if the evolutionary compensation for genome reduction was like all roads leading to Rome.
Introduction
The genome encodes the information for cell growth, and its size is likely the evolutionary consequence 1, 2, 3. To determine the essential genomic sequence of modern cells, removing redundant DNA sequences from the wild-type genome in bacteria, so-called genome reduction, has been challenged to a large extent 4, 5, 6, 7. These efforts have been made to discover the minimal genetic requirement for a free-living organism growing under the defined conditions 8, 9, 10. It resulted in the finding of the coordination of genome with cell growth, i.e., genome reduction significantly decreased the growth rate of Escherichia coli (E. coli) cells independent of culture media or growth forms 11, 12, 13. Slow growth or fitness decline was commonly observed in the genetically reduced 13, 14 and chemically synthesized genomes 10, 15.
The growth decrease could be recovered by experimental evolution. Growth fitness generally represents the adaptiveness of the living organism to the defined environment 16. Although the reduced genomes somehow showed differentiated evolvability compared to the wild-type genomes 17, 18, 19, their evolutionary adaptation to the environmental changes has been successfully achieved 20, 21, 22. Experimental evolution under the defined culture condition successfully increased the decreased growth rates of the reduced genomes 17, 20, 21 and fastened the slow-growing synthetic genome 23. The evolutionary rescue of the growth rate must be associated with the changes in genomic sequence and gene expression benefited for the growth fitness, as what happened in nature adaptive evolution 24, 25, 26. Our previous study showed that the decreased growth rate caused by the absence of a sizeable genomic sequence could be complemented by introducing the mutations elsewhere in the genome 20, 21. Additionally, the changes in growth rate caused by either genome reduction or experimental evolution were dependent on the genome size but not the specific gene function 20.
A genome-wide understanding of the evolutionary compensated fitness increase of the reduced genome is required. The experimental evolution compensated for the genome reduction-mediated growth changes were considered stringently related to transcriptome reorganization. Our previous studies found the conserved features in transcriptome reorganization, although the gene expression patterns were significantly disturbed by either genome reduction or experimental evolution 27, 28, 29. It indicated that experimental evolution rescued the growth rate disturbed by genome reduction via the underlying mechanisms to maintain homeostasis as a growing cell. How the growth recovery of reduced genomes was achieved and whether it was in general are unclear. To address the questions, we conducted the experimental evolution with a reduced genome in multiple lineages and analyzed the evolutionary changes of the genome and transcriptome in the present study.
Results
Fitness recovery of the reduced genome by experimental evolution
Experimental evolution of the reduced genome was conducted to regain the growth fitness, which was decreased due to genome reduction. Serial transfer was performed with multiple dilution rates to keep the bacterial growth within the exponential phase (Fig. S1), as described 17, 20. Nine evolutionary lineages were conducted independently (Fig. S2, Table S1). A gradual increase in growth rate was observed along with the generation passage, which was combined with a rapid increase in the early evolutionary phase and a slow increase in the later phase (Fig. 1A). Most evolved populations (Evos) showed improved growth fitness. Nevertheless, the final growth rates were considerably varied (Fig. 1B, upper), and the evolutionary dynamics of the nine lineages were somehow divergent (Fig. S2). It indicated the diversity in the evolutionary approaches for improved fitness. Eight of nine Evos achieved faster growth than the genome-reduced ancestor (Anc), whereas all Evos decreased in their saturated population densities (Fig. 1B, bottom). In comparison to the wild-type strain carrying the full-length genome (WT), the primarily decreased growth rate caused by genome reduction was significantly improved by experimental evolution (Fig. 1C, upper), associated with the considerable reduction in saturated density (Fig. 1C, bottom). It demonstrated that the experimental evolution could compensate for the genome reduction with a trade-off in population size (carrying capacity), consistent with the previous findings 20, 21.
Intriguingly, a positive correlation was observed between the growth fitness and the carrying capacity of the Evos (Fig. 1D). It seemed that the present experimental evolution did not obey the r/K selection theory30, 31, which was known as the trade-off relationship (negative correlation) between the growth rate and the carrying capacity 32,33. Taking account of our previous finding that the colony growth rates of genome-reduced strains were proportional to the colony sizes 11, the collapse of the trade-off law likely resulted from genome reduction. As the trade-off between growth fitness and carrying capacity was proposed to balance the cellular metabolism that resulted from the cost of enzymes involved 33, the deleted genomic sequences might play a role in maintaining the metabolism balance.
Significant variation and random localization of genome mutations
Genome resequencing (Table S2) identified a total of 65 mutations fixed in the nine Evos (Table 1). The number of mutations largely varied among the nine Evos, from two to 13, and no common mutation was detected (Table S3). 51 out of 65 mutations occurred in the genes, and 45 out of 51 were SNPs. As 36 out of 45 SNPs were nonsynonymous, the mutated genes might benefit the fitness increase. In addition, the abundance of mutations was unlikely to be related to the magnitude of fitness increase. For instance, A2 accumulating only two mutations presented a highly increased growth rate compared to F2 of eight mutations (Table 1), which poorly improved the growth (Fig. 1B). B2, D2, and E2 all succeeded in fitness increase to an equivalent degree (Fig. 1B), whereas they fixed 13, 7, and 3 mutations, respectively (Table 1). The mutated genes were varied in 14 gene categories, somehow more frequently in the gene categories of Transporter, Enzyme, and Unknown function (Fig. S3). They seemed highly related to essentiality, as 11 out of 49 mutated genes were essential (Table S3). As the essential genes were known to be more conserved than nonessential ones 34, 35, the high frequency of the mutations fixed in the essential genes suggested the mutation in essentiality for fitness increase was the evolutionary strategy for reduced genome. The large variety in genome mutations and no correlation of mutation abundance to fitness improvement strongly suggested that no mutations were specifically responsible or crucially essential for recovering the growth rate of the reduced genome.
Additionally, there were no overlapped genomic positions for the 65 mutations in the nine Evos (Fig. 2A). Random simulation was performed to verify whether there was any bias or hotspot in the genomic location for mutation accumulation (Fig. 2B). The simulation of 65 mutations randomly occurred on the reduced genome was performed 1,000 times. The distance of the mutation (mutated genomic location) to the nearest genomic scar caused by genome reduction was calculated. Welch’s t-test was performed to evaluate the significance of the locational bias between the random mutations and the mutations accumulated in the Evos (Fig. 2C). As the mean of p values from simulations was insignificant (μp > 0.05), there was no locational bias for mutation accumulation caused by genome reduction.
Common evolutionary direction and homeostasis in transcriptome reorganization
Since no specificity was detected in the genome mutations, whether these mutations disturbed the genome-wide gene expression pattern was investigated. Hierarchical clustering and principal component analysis (PCA) showed that the evolved transcriptomes were directed to similar patterns but divergent to the WT transcriptome (Fig. S4). The evolutionary direction of the transcriptomes of the reduced genome was not approaching the wild-type transcriptome. As a global feature of gene expression, the chromosomal periodicity of the transcriptome was analyzed using the Fourier transform as previously described 28, 36. As a result, the transcriptomes of all Evos presented a common six-period with statistical significance, equivalent to those of the wild-type and ancestral reduced genomes (Fig. 3A, Table S4). It demonstrated that the chromosomal architecture of gene expression patterns remained highly conserved, regardless of the considerably varied mutations. The homeostatic periodicity was consistent with our previous findings that the chromosomal periodicity of the transcriptome was independent of genomic or environmental variation 27, 28.
In addition, the genomic locations of the mutations seemed irrelevant to chromosomal periodicity (Fig. 3A, red lines). No mutagenesis hotspot was observed even if these mutations were accumulated on a single genome (Fig. 2A). Alternatively, the expression levels of the mutated genes were somehow higher than those of the remaining genes (Fig. 3B), which sounded reasonable. The ratio of the essential genes in the mutated genes was ∼ 22% (Table S3), much higher than the ratio (∼9%) of essential to all genes (302 out of 3,290) in the reduced genome. As the essential genes showed higher expression levels than the nonessential ones 37, the high essentiality of the mutated genes might result in a higher mean expression level. On the other hand, the high frequency of the mutations fixed in the essential genes was unexpected because the essential genes were generally more conserved than nonessential ones 34. It strongly suggested the essentiality mutation for homeostatic transcriptome architecture happened in the reduced genome.
Diversified functions and pathways of the differentially expressed genes
As the evolved transcriptomes were differentiated from those of the WT and reduced genomes (Fig. S4), the differentially expressed genes (DEGs) were further identified to discover the gene functions or biological processes contributing to the fitness changes. The abundance of DEGs among the Evos varied from 333 to 1,130 genes and of few overlaps (Fig. 4A). Most DEGs were unique to each evolutionary lineage, and the common DEGs across all Evos were only 108 genes (Table S5). The number of DEGs partially overlapped among the Evos declined significantly along with the increased lineages of Evos (Fig. 4B). Enrichment analysis showed that only the histidine-related pathways were significantly enriched in the common DEGs (Fig. 4C). Functional enrichment of the DEGs in individual Evos showed that the amino acid metabolism considerably participated and that the enriched pathways were poorly overlapped (Fig. S5). These findings strongly suggested no universal rule for evolutionary changes of the reduced genome.
In comparison, 1,226 DEGs were induced by genome reduction. The common DEGs of genome reduction and evolution varied from 168 to 540, fewer than half of the DEGs responsible for genome reduction in all Evos (Fig. 5A). The conclusion remained consistent even if the DEGs were determined with an alternative method, RankProd (Fig. S6). Functional enrichment of the DEGs observed the specific transcriptional regulation and metabolic pathways participating in the transcriptome reorganization in response to genome reduction and evolution. Only σ38 was enriched in the genome reduction-mediated DEGs, which was the only regulon that partially overlapped with the Evos (Fig. 5B). No regulon in common was enriched, besides a few partially overlapped regulons, i.e., GadW, GadX, and RcsB (Fig. 5B). In addition, both the number of enriched pathways and their overlaps were significantly differentiated among the nine Evos or between Evos and reduced genome (Fig. 5C). No common pathways were commonly enriched between the genome reduction-mediated DEGs and Evos, no matter annotated the metabolic pathways with GO or KEGG (Fig. S7). The flagellar assembly, the only enriched pathway in genome reduction-mediated DEGs, was absent in all Evos (Fig. 5D). Alternatively, the amino acids-related metabolisms were frequently detected in the Evos, e.g., histidine metabolism, biosynthesis of amino acids, etc. (Fig. 5D, Fig. S7). The variable pathways in the Evos indicated that evolution compensated for the genome reduction in various ways, which differed from how the genome reduction was caused.
Gene modules responsible for the evolutionary changes of the reduced genome
Genome mutation analysis and transcriptome analysis failed to identify the common gene categories or pathways that correlated to the evolution of the reduced genome; thus, the gene modules correlated to evolution were newly evaluated. The weighted gene co-expression network analysis (WGCNA) 38 was performed toward the evolved transcriptomes as tested previously 27. Reconstruction of the 3,290 genes in the reduced genome led to 21 gene modules, comprising 8 to 320 genes per module (Fig. S8). Hierarchical clustering of these modules showed that roughly three major classes could be primarily divided (Fig. 6A). Functional correlation analysis showed that three of 21 modules (M2, M10, and M16) were highly significantly correlated to the growth fitness, the number of DEGs, and mutation frequency, respectively (Fig. 6A). It indicated that the three modules were highly essential and functionally differentiated for growth control, transcriptional change, and mutagenesis.
Enrichment analyses further identified the gene categories, regulons, and metabolisms that significantly appeared in the three modules (Fig. 6B). Two gene categories of nonessential function were enriched in M10, and the module correlated to the number of DEGs; in contrast, no gene category was enriched in M2 and M16 (Fig. 6B, left). All three modules successfully enriched the regulons without overlaps (Fig. 6B, middle). It indicates that the main regulatory mechanisms participating in the three modules for growth control, transcriptional change, and mutagenesis were divergent. GO enrichment resulted in various biological processes in the three modules, roughly related to transport, transposition, and translation in M2, M10, and M16, respectively (Fig. 6B, right). Compared to the enriched functions of the genes that disappeared due to genome reduction (Fig. 6B, bottom), the gene categories of phage and unknown function and the biological processes related to DNA transposition and integration were commonly identified in M10. It strongly indicated that M10 was responsible for genome reduction. The newly constructed gene networks successfully identified three modules correlated to mutation, DEGs, and growth, revealing the functional differentiation responsible for evolution to maintain the homeostatic transcriptome architecture for a growing cell.
Discussion
The evolutionary compensation for genome reduction was directed toward an identical goal of increased fitness but differentiated in the manner of genomic changes. Firstly, various genetic functions seemed to trigger the increased growth rates of the Evos. A few mutations could compensate for the sizeable genomic deficiency. The considerable variation in the fixed mutations without overlaps among the nine Evos (Table 1) implied no common mutagenetic strategy for the evolutionary improvement of growth fitness. It was supported by the fact that no genomic locational bias for mutations fixed in the evolution (Fig. 2). Secondly, the transcriptomes presented conserved chromosomal architectures (Fig. 3) and universal directional changes (Fig. S4), regardless of the significant and differentiated changes in gene expression in response to evolution (Fig. 4, Fig. S5). Although the periodicity of chromosomal architecture was well known 39, 40 and coordinated to the bacterial growth rate28, 41, employing its homeostasis as the evolutionary consequence provided a conceptual and unique understanding of growing cells.
It’s unclear whether the differentiation in evolutionary paths was particularly significant for the reduced genome used in the present study. Evolution studies often focus on finding the common mutations accumulated in multiple evolutionary lineages to obtain the reasonable mechanism responsible for the adaptation to the defined condition (Fig. 7, i). Common mutations22, 42 or identical genetic functions43 were reported in the experimental evolution with different reduced genomes. Nevertheless, divergent evolutionary mechanisms were proposed as not all mutations contribute to the evolved fitness 22, 43. The present study accentuated the variety of mutations fixed during evolution. Considering the high essentiality of the mutated genes (Table S3), most or all mutations were assumed to benefit the fitness increase, partially demonstrated previously 20. The differentiated mutations and DEGs guided to a homeostatic (Fig. 7, iii) rather than a variable consequence (Fig. 7, ii). Multiple evolutionary paths for the reduced genome to improve growth fitness were likely all roads leading to Rome.
In addition, the transcriptome reorganization for fitness increase triggered by evolution differed from that for fitness decrease caused by genome reduction. General analyses failed to detect the regulatory network or genetic function mediated by genome reduction and evolution in common. Instead, the newly constructed gene modules successfully enriched the gene categories of mobile elements and unknown functions (Fig. 6B, left) as the evolutionary compensation for genome reduction. The represented mobile elements, flagella, were known to be responsive to environmental stresses such as hypoosmotic pressure or pH 44, 45. Genome reduction and evolution seemed equivalent to the stress response in E. coli. These findings were reasonable as enterobactin protected E. coli from oxidative stress 46, 47, and enterobactin biosynthesis was upregulated for biofilm formation in genome-reduced E. coli 48. The compensation of evolution to genome reduction not only verified the known function and mechanism from a global regulatory viewpoint but also revealed a novel understanding of the molecular mechanisms and gene functions.
The discriminated functions of gene modules might play a crucial role in response to genomic and evolutionary changes. WGCNA was conducted to discover the potential correlation of gene expression to growth fitness. It succeeded in finding the genes participating in the evolutionary changes of the reduced genome to regain growth fitness. Three enriched gene modules were assumed separately responsible for replication, transcription, and population dynamics (Fig. 6B). The growth-correlated gene module significantly enriched the iron-related biological functions (M2). Although the translation was commonly reported to be correlated to the growth rate 49, 50, it was enriched in the gene module coordinated to transcriptional changes (M10). Such functional differentiation of the gene modules might connect with the differentiated medium components responsible for varied bacterial growth phases, which was observed using the high-throughput growth assay in hundreds of medium combinations combined with machine learning 51, 52. We assumed that the various chemicals disturbed different metabolic fluxes in which different gene modules might have participated. The biological meaningfulness of the gene modules suggested an alternative genetic classification besides the commonly used clustering criteria, such as Gene Orthology 53 and Regulon 54. In summary, the present study provided a representative example showing multiple evolutionary paths (i.e., gene mutation and expression) directed the reduced genome to the improved fitness with the homeostatic transcriptome.
Materials and Methods
E. coli strains and culture medium
The E. coli K-12 W3110 wild-type and its genome-reduced strains were initially distributed by the National BioResource Project of the National Institute of Genetics. The reduced genome was approximately 21% smaller than the wild-type genome. The minimal medium M63 was used as described in detail elsewhere 13, 55.
Experimental evolution
The genome-reduced E. coli strain was evolved in 2 mL of the M63 medium by serial transfer, as previously described 17, 20. Nine evolutionary lineages were all initiated from the identical culture stock prepared in advance. The 24-well microplates specific for microbe culture (IWAKI) were used, and every four wells of four tenfold serial dilutions, e.g., 103∼106, were used for each lineage. The microplates were incubated in a microplate bioshaker (Deep Well Maximizer, Taitec) at 37°C, with rotation at 500 rpm. The serial transfer was performed at ∼24-h intervals. Only one of the four wells (dilutions) showing growth in the early exponential phase (OD600 = 0.01-0.1) was selected and diluted into four wells of a new microplate using four dilution ratios. Serial transfer was repeated until all evolutionary lineages reached approximately 1,000 generations, which required approximately two months per lineage. A total of nine lineages were conducted, and the daily records of the nine lineages were summarized in Table S1. The evolutionary generations (G) and the growth rates (μ) were calculated according to the following equations (Eq. 1 and Eq. 2).
Fitness assay
Both the ancestor and the evolved E. coli populations of the reduced genome were subjected to the fitness assay, as previously described 13, 55. In brief, every 200 µl of culture was dispensed to each well in the 96-well microplate (Coaster). The microplate was incubated at 37°C in a plate reader (EPOCH2, BioTek), shaking at 567 cpm (cycles per minute) for 48 h. The temporal changes in OD600 were measured at 30-min intervals. The growth fitness (r) was calculated using the following equation between any two consecutive points (Eq. 3).
Here, ti and ti+1 are the culture times at the two consecutive measurement points, and Ci and Ci+1 are the OD600 at time points ti and ti+1. The growth rate was determined as the average of three consecutive ri, showing the largest mean and minor variance. The mean of the biological triplicates was defined as the growth fitness and used in the analyses.
Genome resequencing and mutation analysis
The E. coli cells were collected at the stationary growth phase (i.e., OD600 > 1.0) and subjected to genome resequencing, as described previously 20. In brief, the bacterial culture was stopped by adding rifampicin at 300 µg/mL. The cell pellet was collected for genomic DNA purification using a Wizard Genomic DNA Purification Kit (Promega) under the manufacturer’s instructions. The sequencing library was prepared using the Nextera XT DNA Sample Prep Kit (Illumina), and the paired-end sequencing (300 bp × 2) was performed using the Illumina HiSeq platform. The raw datasets were deposited in the DDBJ Sequence Read Archive under the accession number DRA013662. The sequencing reads were aligned to the reference genome E. coli
W3110 (AP009048.1, GenBank), and the mutation analysis was performed with the Breseq pipeline 56, 57. The DNA sequencing and mapping statistics are summarized in Table S2. The mutations fixed in the coding regions due to evolution are shown in Table S3.
Calculation and simulation of the genomic positions of mutations
The distances from the genomic positions of the genome mutations fixed in the nine Evos to the nearest genomic scars caused by the genome reduction were calculated as described previously 13, 36. Random mutations that occurred on the reduced genome were simulated 1,000 times, and the distances of these mutations to the nearest genomic scars were calculated. Note that the number of mutations in the simulation remained equivalent to that detected in the Evos. Welch t-tests were performed to evaluate the statistical significance (p values) of the bias in the distances observed in the Evos and the simulations. The distribution and the mean of 1,000 p values acquired from the simulation were calculated to evaluate the locational bias of the mutations fixed in Evos.
RNA sequencing
The E. coli cells were collected at the exponential growth phase (i.e., 5×107 ∼ 2 ×108 cells/mL) and subjected to RNA sequencing, as described previously 27, 41. In brief, the bacterial growth was stopped by mixing with the iced 10% phenol ethanol solution. The cell pellet was collected to purify the total RNAs using the RNeasy Mini Kit (QIAGEN) and RNase-Free DNase Set (QIAGEN) according to product instructions. The paired-end sequencing (150 bp × 2) was performed using the Novaseq6000 next-generation sequencer (Illumina). The rRNAs were removed from the total RNAs using the Ribo-Zero Plus rRNA Depletion Kit (Illumina), and the mRNA libraries were prepared using the Ultra Directional RNA Library Prep Kit for Illumina (NEBNext). Biological replicates were performed for all conditions (N=2∼4). The raw datasets were deposited in the DDBJ Sequence Read Archive under the accession number DRA013662.
Data processing and normalization
The FASTQ files were mapped to the reference genome W3110 (accession number AP009048.1, GenBank) using the mapping software Bowtie2 58, as described previously 27, 41. The obtained read counts were converted to FPKM values according to the gene length and total read count values. Global normalization of the FPKM values was performed to reach an identical mean value in the logarithmic scale in all datasets. The gene expression level was determined as the logarithmic value of FPKM, and the mean values of biological replicates were used for the following analyses (Table S6).
Computational analysis
The normalized datasets were subjected to the computational analyses performed with the R statistical analysis software. A total of 3290 genes were used for hierarchical clustering and principal component analysis (PCA), which were performed with the R functions of "hclust" and "prcomp", respectively, as described previously27. The corresponding parameters of "method" and "scale" were set as "average" and "F", respectively. The R package of DESeq259 was used to determine the differentially expressed genes (DEGs), based on the false discovery rate (FDR < 0.05) 60. The read counts were used as the input data for DESeq2, in which the data normalization was performed at each run for pair comparison.
Enrichment analysis
Functional enrichments were performed according to the features of gene category61, transcriptional regulation54, gene ontology53, and metabolic pathways62, 63. Twenty-one gene categories and 46 regulons, which comprised more than 15 genes and 15 regulatees, were subjected to the enrichment, respectively. The statistical significance was evaluated by the binomial test with Bonferroni correction. The enrichment analysis of gene ontology (GO terms) 53, 64 and metabolic pathway (Kyoto encyclopedia of genes and genomes, KEGG) 62, 63 was performed using DAVID, a web-based tool for visualizing the characteristics of gene clusters with expression variation 65 66. The statistical significance was according to FDR.
Chromosomal periodicity analysis
Fourier transform was used to evaluate the chromosomal periodicity of the transcriptome, as previously described 28, 41. The genome was divided into compartments of 1 kb each, and the mean expression level of the genes within the corresponding sections was calculated. Gene expression levels were smoothed with a moving average of 100 kb and subjected to the periodicity analysis using the function "periodogram" in R. The max peak (periodic wavelength) of the periodogram was fitted to the gene expression data using the function "nls" in R by the least squares method according to the following equation (Eq. 4).
Here, a, b, T, and c represent the periodic amplitude, the periodic phase, the periodic wavelength indicated by the max peak, and the mean expression level of the whole transcriptome as a constant, respectively. The statistical significance of the periodicity was assessed with Fisher’s g test (Table S4), as described previously 28, 41. The genomic position of ori was according to the previous reports 41, 67. In addition, the function "abline" in R was used to point out the genomic positions of the mutations.
Gene network analysis
The weighted gene co-expression network analysis (WGCNA) of the nine Evos was performed with the R package of WGCNA 38, as described previously 27. A Step-by-Step method was used to determine the parameters for constructing the gene networks. The soft threshold was set at 12, where the R2 of Scale Free Topology Model Fit was approximately 0.9 recommended by the developer’s instruction. The resultant gene networks were clustered with the "hclust" function (method=average) and reconstructed by merging similar modules using the "mergeCloseModules" function with a height cut of 0.25 in the "dynamic tree cut" method. Finally, a total of 21 modules were determined for 3,290 genes. The correlation coefficients and p-values between the expression of the gene modules and the other global features (growth rates, DEGs, and mutations) were evaluated using the functions "cor" and "corPvalueStudent" in R, respectively. FDR correction was applied to the p-values to account for multiplicity. Functional enrichment of the gene modules was performed, and the statistical significance was evaluated by the binomial test with Bonferroni correction as described above.
Acknowledgements
We thank NBRP for providing the E. coli strains carrying the wild-type and reduced genomes (W3110 and KHK collection). This work was supported by the JSPS KAKENHI Grant-in-Aid for Scientific Research (B) (grant number 19H03215) and partially by Grant-in-Aid for Challenging Exploratory Research (grant number 21K19815).
Competing interests
The authors declare that there are no competing interests.
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