Expression of human AID in yeast induces mutations in context similar to the context of somatic hypermutation at G-C pairs in immunoglobulin genes
© Mayorov et al; licensee BioMed Central Ltd. 2005
Received: 15 January 2005
Accepted: 10 June 2005
Published: 10 June 2005
Antibody genes are diversified by somatic hypermutation (SHM), gene conversion and class-switch recombination. All three processes are initiated by the activation-induced deaminase (AID). According to a DNA deamination model of SHM, AID converts cytosine to uracil in DNA sequences. The initial deamination of cytosine leads to mutation and recombination in pathways involving replication, DNA mismatch repair and possibly base excision repair. The DNA sequence context of mutation hotspots at G-C pairs during SHM is DGYW/WRCH (G-C is a hotspot position, R = A/G, Y = T/C, W = A/T, D = A/G/T).
To investigate the mechanisms of AID-induced mutagenesis in a model system, we studied the genetic consequences of AID expression in yeast. We constructed a yeast vector with an artificially synthesized human AID gene insert using codons common to highly expressed yeast genes. We found that expression of the artificial hAIDSc gene was moderately mutagenic in a wild-type strain and highly mutagenic in an ung1 uracil-DNA glycosylase-deficient strain. A majority of mutations were at G-C pairs. In the ung1 strain, C-G to T-A transitions were found almost exclusively, while a mixture of transitions with 12% transversions was characteristic in the wild-type strain. In the ung1 strain mutations that could have originated from deamination of the transcribed stand were found more frequently. In the wild-type strain, the strand bias was reversed. DGYW/WRCH motifs were preferential sites of mutations.
The results are consistent with the hypothesis that AID-mediated deamination of DNA is a major cause of mutations at G-C base pairs in immunoglobulin genes during SHM. The sequence contexts of mutations in yeast induced by AID and those of somatic mutations at G-C pairs in immunoglobulin genes are significantly similar. This indicates that the intrinsic substrate specificity of AID itself is a primary determinant of mutational hotspots at G-C base pairs during SHM.
The immune system uses several strategies to modify genetic material to generate various types of high affinity antibodies . These strategies enable production of multiple antibody variants to a wide range of different antigens . Initially, antigen receptors are generated by a site-specific recombination process called V(D)J recombination occurring in the bone marrow . However, this is not sufficient to assure an adequate immune response. Mature B-lymphocytes migrate to the secondary lymphoid organs where they encounter antigens. Upon activation by antigens, mature B-lymphocytes begin to proliferate and form germinal centers, where immunoglobulin genes undergo additional modifications: class switch recombination (CSR), immunoglobulin gene conversion (IGC) and somatic hypermutation (SHM) . SHM, IGC and CSR, all require active transcription  and generate diversity of antibodies, that is followed by selection leading to the production of high affinity antibodies . The frequency of mutations during this process is up to six orders of magnitude higher than in other genes . Most of the mutations are base pair substitutions, occurring with a similar frequency at G-C and A-T base pairs. Statistically preferred hotspots for mutations at G-C pairs are RG YW/WRC Y motifs (mutating G-C are underlined, R stands for purine base, Y stands for pyrimidine base and W stands for A or T) , or recently refined DG YW/WRC H motifs (D stands for G, T or A) . Hotspots of mutations at A-T pairs are in WA /TW motifs (mutating A-T are underlined) .
A major breakthrough in understanding the mechanisms of CSR, IGC and SHM was the discovery that they all depend on activation-induced cytidine deaminase, AID [10–16]. Patients with defective AID have giant germinal centers and elevated levels of only one type of low-affinity antibodies, IgM. They suffer from recurrent bacterial infections in the respiratory tract  due to the lack of efficient antibody responses that depend on several crucial steps of B cell terminal differentiation including CSR and SHM. SHM is targeted to specific DNA regions in specialized tissues. Defects in this targeting may result in genome-wide mutagenesis and cancer. B-cell lymphomas possess translocations that bring proto-oncogenes into immunoglobulin loci (see ). Constitutive expression of AID in mice leads to an increase of tumor incidence .
When discovered, AID was thought to act in mutagenesis and recombination in immunity by RNA editing [10, 11, 20]. It was proposed that AID edits pre-mRNA encoding a nicking endonuclease that initiates SHM, IGC and CSR . This model is called "RNA-editing" . The AID is homologous to the known RNA-editing enzyme APOBEC1, which deaminates cytosine at position 6666 in ApoB100 mRNA and seemingly has no role in immunity. AID possesses the ability to deaminate cytidine, and shuttles between the nucleus and cytoplasm similar to APOBEC1 [4, 5, 21, 22]. A different hypothesis, called "DNA deamination", suggests AID deaminates cytosine directly and that uracil generated in this reaction triggers downstream reactions leading to genetic instability [23–26] (see [27–33] for reviews).
Experimental evidence is accumulating in favor of the DNA deamination hypothesis of AID function [29, 31–34]. AID is able to induce SHM and CSR in hybridomas and in fibroblasts, suggesting that it is the only B-cell specific component required for induction of both genetic events [13, 14, 35]. AID can also induce mutations when expressed in E. coli . These mutations occur in the same DNA sequence motifs as mutations during SHM [8, 36]. Therefore, eukaryotic cell-specific components are not necessary for mutagenesis. This mutator effect is enhanced in uracil-DNA glycosylase-deficient ung1 strains, which are unable to repair uracil in DNA , suggesting that the deamination of cytosine to uracil in DNA is the cause of these mutations . It was found that the expression of two homologous deaminases, APOBEC1 and APOBEC3G, is highly mutagenic in bacteria . Almost all mutations arising upon expression of these deaminases were G-A to A-T transitions, consistent with the DNA deamination model. AID deaminates single-stranded and supercoiled double-stranded DNA [39–44] (see also review ). AID exhibits clear DNA sequence context specificity, which resembles the specificity of G-C to the A-T component of SHM mutagenesis (G YW/WRC motifs, see[8, 40, 44–46]). The specificity of induced mutations in bacteria is consistent with predominant deamination of the non-transcribed DNA strand [36, 45], which is thought to be single-stranded during transcription (reviewed in ). During SHM, however, both DNA strands are targeted for mutagenesis , . This discrepancy between the parameters of SHM in vertebrates and deaminase-induced mutagenesis in prokaryotes still needs to be resolved.
To characterize the initial steps of AID-induced mutations, we examined the specificity of the mutator effect of human AID expressed in yeast. We constructed a yeast vector with an artificially synthesized human AID gene insert using codons common to highly expressed yeast genes. We found that expression of the artificial hAIDSc gene was moderately mutagenic in the wild-type strain and highly mutagenic in the ung1 strain, similar to expression of unmodified human AID . This is consistent with the uracil DNA deamination model of mutagenesis. We identified a spectrum of mutations in the CAN1 gene occurring in wild-type and ung1 strains expressing hAIDSc. We compared the sequence context of AID-induced mutations in yeast at G-C bases with somatic mutations in immunoglobulin genes. These comparisons revealed significantly similar properties and further support the hypothesis that AID is a primary cause of mutations at G-C pairs in immunoglobulin genes during SHM.
hAIDSc expression and its mutator effect
Mutagenic effect of the hAIDSc expression in yeast.
Canr × 10-7
Ade+ × 10-8
Trp+ × 10-8
Ura+ × 10-8
His+ × 10-8
The expression of the hAIDSc did not induce frameshift mutations to His+ (last column of Table 1). In Ung1+ strains, hAIDSc expression leads to a 7.6 fold increase in Canr forward mutations and a 3 – 6 fold increase in nonsense mutation reversion (Ade+, Trp+). The ung1 mutation per se led to a 5 – 10 fold increase of mutation rates as shown in rows one and four. When the hAIDSc was expressed in the ung1 strain, the mutator effect was multiplicative for Canr forward mutations (82 fold increase over the wild-type strain) and synergistic for nonsense mutation reversion (a 404 – 1290 fold increase over wild-type). TAG and TAA nonsense mutations cannot revert by true back-mutations via G-C to A-T transitions. We have previously shown by genetic analysis and sequencing of revertants that reversion is caused by dominant suppressors and most likely represent mutations in the anticodon of tRNA genes, which could be G-C to A-Ts . The high response of ade5-1 and trp1-289 markers to hAIDSc may reflect the role of transcription in AID-induced hypermutation in yeast, since tRNA genes are transcribed differently from metabolic genes. The ura3-29 allele reversion was stimulated only weakly. It is known, that the allele reverts via various changes at G-C pair in "TCT" DNA sequence context , which is different from hotspots of AID deaminations. The results suggest that uracil DNA deamination is the primary source of mutation induced by the hAIDSc in yeast and are consistent with our previous studies . Optimized codon usage did not lead to increased mutagenesis under conditions of constant induction of galactose promoter since the mutagenic potential of expression of the hAIDSc was comparable with expression of native human AID .
Mutagenic specificity of hAIDSc
DNA sequences changes in can1 mutants induced by expression of hAIDSc.
Observed sequence change
Sequences with mutations
Single base substitution
Tandem double substitution
Types of base of substitutions found in can1 mutants induced by expression of hAIDSc.
Differences in occurrence of transitions/transversion and mutations in two DNA strands of the CAN1 gene in wild-type and ung1 strains.
Transitions at G-C bases
Transversions at G-C bases
Transcribed strand (G→A)
Non-transcribed strand (C→T)
Mutations in different mutable motifs in different spectra.
Sequence motif (mutable positions are underlined)
DG YW / WRC H
NG YW / WRC N
Spontaneous can1 mutations in the wild-type yeast
0.5 / 0.5
Spontaneous SUP4-o mutations in ung1 yeast strain
hAIDSc in the CAN1 in wild-type yeast
1.2 / 5.2
1.5 / 4.8
hAIDSc in the CAN1 in ung1 yeast
2.0 / 1.8
3.2 / 1.6
SHM in VκOx1 in mouse
3.5 / 2.5
3.4 / 2.5
SHM in JH4 region in wild-type mouse
4.4 / 3.2
4.4 / 3.2
SHM in JH4 region in Ung1-/- mouse
4.5 / 3.6
4.5 / 3.6
SHM in JH4 region in Ung1-/- Msh2-/- mouse
3.3 / 5.0
3.2 / 5.0
AID in GFP in human fibroblasts
7.6 / 4.8
7.1 / 4.1
AID in sacB in E.coli
2.3 / 3.7
1.6 / 4.6
AID in lacZ in vitro
-- / 2.1
-- / 2.2
G-C mutations may arise by putative deamination on the transcribed or non-transcribed DNA strand. Mutations in the ung1 strain, representing deamination proclivity without of uracil repair, occur at a higher rate on the transcribed strand (Table 4). This is different from the effect of AID expression observed in the most E. coli selective systems . In the wild-type strain, there is some prevalence of mutations due to putative non-transcribed strand deaminations (Table 4) suggesting the possibility that in our system the repair of uracil in the transcribed DNA strand is more efficient than in non-transcribed strand. Clearly, hAIDSc is targeted to both DNA strands in yeast, similar to somatic mutations in G-C bases during SHM [6, 7, 9, 57–59]. It is important to mention that, under normal circumstances, there are no differences in DNA strand preferences between mutation spectra from the wild-type and ung1 strains .
Base substitution hotspots and mutable motifs.
Number of substitutions
NG YW/WRC N variant (N = A/T/C/G)
GTA C AGA
AAG C AAA
GTG G TA C
GGT G AAA
ATG G AAT
AAG G TA C
TCC G TA T
CTG C CGC
ATG G TTA
ATG C AAG
ATG C CCG
We did not find a substantial number of A-T mutations, which typically comprise one-half of all SHM [47, 58, 61]. This result corresponds with earlier published results on the expression of AID in E. coli [24, 36], in yeast , in murine fibroblasts , and in human hybridomas . Apparently, additional components are required to model the full spectrum of SHM under conditions of AID expression in heterologous systems or in non-B cell tissues.
Mutator efficiency and specificity of expression of hAIDSc
Yeast is a well-studied model eukaryotic organism used for various genetic studies. Yeast was used in this study to characterize the mutator effects of ectopic expression of human AID. The CAN1 reporter gene has been chosen because of numerous mutational studies [52, 54] and a well-characterized transcription pattern [62–64]. The results are different from studies of AID effects in prokaryotic models and in vitro experiments. We observed mutations arising due to deamination occurring in both DNA strands. In E.coli, transcription enhances deamination of the non-transcribed DNA strand, which is exposed as single-stranded DNA during the elongation reaction, but not mutation of the transcribed DNA strand, which is likely to be protected by E. coli RNA polymerase [42, 43, 65]. The observed DNA strand targeting of mutations in ung1 yeast closely resembles targeting of somatic mutations in vertebrate immunoglobulin genes (Table 5). Interestingly, there was a significant strand bias of mutations in wild-type yeast toward the non-transcribed strand (Tables 4 and 5). A more efficient repair of the transcribed DNA strand is one possible explanation of this asymmetry. Preferential nucleotide excision repair of the transcribed strand is a well-known phenomenon . The possibility of transcription-coupled repair of uracil bases in DNA has not yet been thoroughly studied.
Interestingly, a strand bias toward the non-transcribed DNA strand was found in Ung-/- Msh2-/- mouse (Table 5, row 8) . The difference between the number of mutations in DG YW/WRC H sites versus all other G:C sites in wild-type and Ung-/-Msh2-/- strains was statistically significant (Fisher exact test, P = 0.04). This may indicate that AID has a preference to the non-transcribed DNA strand as suggested earlier (see review ). An excessive DNA deamination of the non-transcribed DNA strand may be compensated by more efficient repair of this strand during the SHM phase 2  causing approximately equal frequencies of mutations in both DNA strands (Table 5). More efficient repair of the non-transcribed strand is consistent with the idea of preferential targeting of the DNA polymerase η to the non-transcribed strand during SHM [9, 25]. In general, the strand specificity of SHM in Ung-/-Msh2-/- mouse is similar to AID-induced mutations in wild-type strains of yeast and E. coli (Table 5). Substantial differences between the observed targeting of AID to the mutable motifs in Ung-/- Msh2-/- and wild-type mouse (Table 5) are not consistent with a hypothesis that mutagenesis during the A:T-focused phase is nearly exclusively targeted to A:T bases [67, 68]. It is possible that mutagenesis during this phase is targeted to both A:T and G:C bases with a preference to A:T bases and no preference to DG YW/WRC H mutable motifs, this is consistent with the observed mutational and context specificity of the DNA polymerase η in vitro [9, 25, 69], DG YW/WRC H-independent mutagenesis of G:C bases will cause erosion of a high initial DG YW/WRC H motif specificity observed in Ung-/-Msh2-/- mouse (Table 5). There are also differences between strand specificity of Ung-/-Msh2-/- mouse and AID-induced mutations in human fibroblasts (Table 5), this might be explained by some differences in AID targeting or transcription-associated repair of uracil between B-lymphocytes and fibroblasts. All these results suggested that a weak strand bias is an intrinsic property of SHM.
A significant difference between in vitro systems and our experiments was observed. AID catalyses multiple deaminations in vitro . We detected 11 clones with multiple mutations (10 clones with two mutations and one clone with three mutations) and checked the number of mutations in the first and second halves of CAN1. If multiple mutations emerge as a result of independent events, half of the clones are expected to have mutations in different halves of CAN1. In six out of 11 clones mutations were located in different parts of CAN1, thus independent mutation events is the most likely explanation. In general, the specificity and distribution of mutations in yeast did not exhibit a pattern of multiple mutations that would have been consistent with postulated processive action of AID . These results are consistent with a high frequency of rearranged immunoglobulin V genes with one somatic mutation (for example, ). Apparent non-processive action of AID in vivo may be explained by a competition for binding to the CAN1 DNA sequence between AID and other proteins participating in transcription, replication and/or repair. For example, it is known that replication factor A stimulates AID , while the specificity of AID in vitro was studied on DNA without any additional factors. Clearly, this requires additional investigation.
Mechanisms of mutagenesis by AID
The mechanism of SHM initiated by AID may be as follows (see [23, 24, 27, 28, 67, 72]). Deamination of cytosine in DNA leads to the formation of a mismatched U-G base pair. If left unrepaired, further rounds of replication of uracil-containing DNA will generate only transition type mutations, G-C to AT. Uracil removal by uracil-DNA glycosylase leads to an apyrimidinic (AP) site. The AP site may be bypassed by a specialized DNA polymerase and, being a non-coding lesion, could lead to a transition or transversion mutation. The AP site may also be incised by AP-endonuclease and then repaired by the short patch base excision repair (BER) with involvement of error prone DNA polymerases with generation of transitions and transversions (e.g., see ). This mechanism generates mutations at G-C pairs. In order to explain the high frequency of mutations during the short patch BER reaction, it should be postulated that the relatively accurate DNA polymerase β is substituted in B-cells by an error-prone polymerase. The candidate is DNA polymerase ι, which is expressed in Burkitt's lymphoma cell line BL-2  and whose inactivation suppresses SHM in this line . However, 129-derived strains of mice, lacking active polymerase η, are fully proficient in SHM . The reason for this discrepancy in not established yet.
Another type of mutation, which comprise about 50% of all mutations during SHM, is a change at the A-T base pairs [47, 58, 61]. The explanation of the mutation origins in A-T base pair is based on several observations. It is known that mutations at A-T base pairs depend on mismatch repair components MSH2, MSH6, EXO1 and error-prone DNA polymerase η [9, 29, 67, 68, 70, 72]. They are thought to be the result of error-prone bypass or repair of abasic site by error-prone polymerases, in particular, DNA polymerases η, ι and ζ [9, 25, 70, 73, 74, 76, 77] (reviewed in [28, 72, 78, 79]). It is possible that they are generated in the following way. Initiation of mismatch repair of a G-U base pair leads to a gap. Gaps may also be generated by long patch BER. Repair of gaps with the involvement of error-prone DNA polymerases may lead to mutations distal to initial G-U pair [25, 68]. Again, it should be postulated that gap repair is unusual in B-cell being inaccurate, since normally it is performed by highly accurate replicative DNA polymerases. The final feature of the current model of AID-initiated genetic modifications is that nicks and gaps, arising during DNA repair, stimulate recombination [16, 48]. SHM in the Ung1-/- mice is greatly biased in favour of transitions, since the pathway via apyrimidinic sites is blocked .
Mutations at A-T base pairs are absent in Msh2-/-Ung1-/- mice . Is it important to notice that Ung1 is not a major enzyme involved in the overall repair of G:U mismatches in mice, as suggested by small mutator phenotypes in the Ung1-/- mice and the existence of the robust Smug1 glycosylase . In B-cells, however, the Ung1 alone appears to be crucial for all genetic diversification processes [67, 81]. Mutations at A-T base are not observed when AID is expressed in prokaryotes or in yeast [31, 36, 48], and this work. Therefore, current model systems only partially reconstruct SHM. Delicate balance of mismatch repair and activity of error-prone polymerases, specific for B cells, might be required for the full spectrum of SHM mutations . Changes in the chromatin structure are necessary for SHM  and this additional level of regulation should be taken into account when considering different SHM models.
In the present study, we have shown that expression of human AID is mutagenic in yeast and the mutagenic effect is one-two orders of magnitude higher in the ung1 strain. This observation suggests that the cause of the mutator effects is AID-driven DNA deamination. DNA sequence contexts of mutation hotspots coincide with DG YW/WRC H mutable motifs of somatic hypermutation, which is consistent with the DNA deamination model of SHM, suggesting that the intrinsic substrate specificity of AID itself is a primary determinant of mutational hotspots at G-C base pairs during SHM.
Construction of the expression vector
A new hAID gene was constructed using codons characteristic to highly expressed yeast genes. The DNA Builder program http://cbi.swmed.edu/computation/DNABuilder/dnabuilder.html and yeast codon usage data [83, 84] was used to construct a DNA sequence encoding human AID, with the preferable yeast codons. The DNA corresponding to this sequence and encoding for the c-myc Tag at the C-terminus (hAIDSc) was custom-synthesized and cloned into Bam HI-Sal I cut pESC-LEU (Stratagene) expression vector by the McLab Company (San Francisco). In this construct, the deaminase genes were placed downstream of the strong, galactose-inducible GAL1 promoter. DNA sequencing analysis confirmed the complete sequence of the insert. Protein production was demonstrated by Western blot as described earlier , with one modification – the Western Breeze Kit (Invitrogen) was used for detection of the protein in yeast extracts.
For our experiments with the yeast vector expressing the deaminase genes we used yeast strain CG379-3-29RL (MAT α ura3Δleu2-3,112 trp1-289 bik1::ura3-29RL his7-2 ade5-1 lys2-Tn5-13) [48, 86, 87]. This strain allows concomitant measurement of mutation rates at several loci. These include a) the forward mutation rate at the CAN1 locus, where mutations reflect a variety of substitution, frameshift and more complex events; b) the rate of reversion of nonsense mutations: the trp1-289 (TAG ) and ade5-1 (TAA, ), where mutations reflect base substitutions in the nonsense codon as well as in suppressor genes encoding tRNAs; c) reversion of the ura3-29 missense mutation TCT which occurs via C-G to T-A transitions, C-G to C-A and C-G to G-C transversions ; d) reversion of the his7-2 mutant allele which occurs mainly via + 1 frameshifts in a homopolymeric AT run [49, 90].
Measurement of mutations rates
Mutation rates were analysed by fluctuation analysis [49, 90]. Independent transformants of the wild-type and ung1 derivatives of our basic strain were grown in a complete minimal medium lacking leucine to select for the plasmid, and containing galactose instead of glucose, to induce the hAIDSc expression.
Isolation and sequencing of can1 mutants
Yeast transformants patches originating from single colonies (64 per one plate) were replica-plated onto galactose-containing medium without leucine. After two days, they were replica-plated onto canavanine-containing medium to select for can1 mutants. After five days of incubation, one Canr colony was picked from each streak and streaked onto canavanine-containing medium. Chromosomal DNA from cells originating from one colony of these can1 mutants was isolated using a Yeast DNA Extraction Kit (Epicentre). Subsequent PCR amplification and sequencing was performed as described earlier .
In vivo and in vitro mutation spectra
Five in vivo and one in vitro mutation spectra, which have been described before [13, 26, 36, 40, 47] were used in this study. We consider that these large mutation spectra reflect intrinsic bias in mutation process. The compilation of somatic mutations in the VkOx transgene includes data derived from transgenic light chains with multiple copies of the transgene and from cells selected in gut Peyer's Patches (PP). The multiple copies are targeted in the same cell even when the light chain they encode is not part of the antigen binding antibody molecule. This implies that the majority of the mutations accumulated are unselected. In the case of PP derived cells, the selective pressure is multiple, therefore again, the common denominator of the biases observed would reflect the intrinsic biases [92, 93].
The Fisher exact test was used to compare frequencies of transitions and transversions. This test was also used to compare the number of mutations in DG YW/WRC H sites versus all other G-C sites in wild-type and Ung-/-Msh2-/- strains of mouse. A Monte Carlo modification of the Pearson χ2 test of spectra homogeneity  was used to compare mutation distributions along hotspot positions of the CAN1 sequence. Calculations were done using the COLLAPSE program ftp://ftp.bionet.nsc.ru/pub/biology/dbms/. Mutations in the CAN1 gene were detected using the phenotypic assay described above, however the full list of detectable positions in this gene is not known. We predicted these positions using the SIFT program with default parameters . Mutation hotspots were defined using a threshold for the number of mutations at a site. The threshold is established by analyzing the frequency distribution derived from a mutation spectrum using the CLUSTERM program http://www.itb.cnr.it/webmutation/. Briefly, this program decomposes a mutation spectrum into several homogeneous classes of sites, with each class approximated by a binomial distribution. Variations in mutation frequencies among sites of the same class are random by definition (mutation probability is the same for all sites within a class), but differences between classes are statistically significant. Each site has a probability P(C) to be assigned to class C. A class with the highest mutation frequency is called hotspot class. Sites with of P(Chotspot) ≥ 0.95 of being assigned to the hotspot class Chotspot are defined as hotspot sites. This approach ensures that the assignment is statistically significant and robust (see Rogozin et al.  for detailed discussion of this approach and problems associated with its application).
Nucleotide sequence features can be correlated with a mutation spectrum and the correlation can be tested for statistical significance. The significance of correlations between the distribution of mutable motifs and mutations along a target sequence was measured by a Monte Carlo procedure (the CONSEN program) . This approach takes into account frequencies of substitutions for each nucleotide, the possibility of multiple mutations in a site, and context of the mutating sites. The Monte Carlo simulation was run with weighted sites, with the weight of a site defined as:
where Mj is the number of mutations in site j. Wj weights were summed for all sites in the analyzed sequence resulting in the total weight W. A distribution of total weights Wrandom was calculated for 10,000 target sequences with randomly shuffled mutation spectra. Each of the resulting random mutation spectra contained the same number of mutations as the observed spectrum with the same distribution of mutations over randomly chosen sites. The distribution of Wrandom was used to calculate probability PW≤Wrandom. This probability is equal to the fraction of random spectra in which Wrandom is the same or greater than W. Small probability values (PW≤Wrandom ≤ 0.05) indicate a significant correlation between a mutable motif and the mutation frequency [7, 99].
This work was supported in part by MedCen Foundation and RFBR. We are grateful to Barry Gold, Eugene Koonin, Elena Vasunina, Robert Lahue and Tadayoshi Bessho for fruitful discussions. We thank Dr. Polina Shcherbakova for critical reading of the manuscript.
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