Hin-mediated DNA knotting and recombining promote replicon dysfunction and mutation
- Richard W Deibler†1, 2, 3,
- Jennifer K Mann†2, 4,
- De Witt L Sumners4 and
- Lynn Zechiedrich1, 2, 4Email author
© Deibler et al; licensee BioMed Central Ltd. 2007
Received: 23 January 2007
Accepted: 25 May 2007
Published: 25 May 2007
The genetic code imposes a dilemma for cells. The DNA must be long enough to encode for the complexity of an organism, yet thin and flexible enough to fit within the cell. The combination of these properties greatly favors DNA collisions, which can knot and drive recombination of the DNA. Despite the well-accepted propensity of cellular DNA to collide and react with itself, it has not been established what the physiological consequences are.
Here we analyze the effects of recombined and knotted plasmids in E. coli using the Hin site-specific recombination system. We show that Hin-mediated DNA knotting and recombination (i) promote replicon loss by blocking DNA replication; (ii) block gene transcription; and (iii) cause genetic rearrangements at a rate three to four orders of magnitude higher than the rate for an unknotted, unrecombined plasmid.
These results show that DNA reactivity leading to recombined and knotted DNA is potentially toxic and may help drive genetic evolution.
Much of DNA metabolism is understood in the context of the linear sequence of nucleotides that compose the nucleic acid. For example, gene promoters, replication origins, partitioning sequences and genes themselves are defined by their particular DNA sequences. However, the physical, mechanical and topological properties of DNA also exert significant influence over DNA metabolism . Inside cells, the long (1.6 mm for Escherichia coli) and flexible (persistence length ≈ 50 nm) DNA must be compacted into a very small volume, achieving a liquid crystalline state of 80 – 100 mg/ml [2–4]. Understanding how DNA functions requires understanding its conformation under such compact conditions.
Although DNA knotting is clearly energetically favorable for DNA, several observations suggest that the intracellular environment should further exacerbate knotting. Experiments with the bacteriophage P4 demonstrated that the confinement of DNA in a small volume stimulates the knotting of DNA . Furthermore, DNA inside the cell is negatively supercoiled. Negative supercoiling promotes a number of genetic processes, including gene expression and DNA replication, in part because it promotes opening of the DNA duplex [13–16]. DNA supercoiling also compacts the DNA and brings distant strands into close proximity [17, 18]. As a consequence, supercoiling promotes strand collision and DNA tangling. Indeed, computer simulations have revealed that supercoiling should drive DNA knotting because writhe in a knot is less stressful on the DNA than writhe in an unknotted, supercoiled molecule [19, 20].
Collisions of DNA helices with one another are potentially problematic because DNA is a self-reactive molecule. The repair of double strand breaks, single strand gaps and stalled replication forks involve recombination, which requires physical contact with a homologous DNA molecule. Similarly, transposition, site-specific recombination and modulation of transcription (by enhancers and other cis-regulatory elements) often involve DNA-DNA interactions. However, it has not been well established whether DNA strand collisions and the potential resulting entanglements affect DNA metabolism in the cell.
One indication that DNA knotting is deleterious to cells is the universal prevalence of type-2 topoisomerases. These are essential enzymes that cleave both strands of a DNA double helix, pass another duplex through this transient gate and reseal the break. Type-2 topoisomerases are the enzymes responsible for unknotting DNA, and, in E. coli, the responsibility falls solely on topoisomerase IV . The loss of topoisomerase IV activity has additional affects in cells that include hyper-negative supercoiling and the inability to segregate newly replicated DNA [22–24]. Therefore, the effects of knots needed to be evaluated separately from supercoils and catenanes.
Here we use the previously characterized Hin site-specific recombination and DNA knotting system [21, 25, 26] to understand how the physical constraints placed upon intracellular DNA can alter its activity. This system ties knots topologically identical to those observed in vivo [6, 8, 10]. Although studying the effects of knots in chromosomal DNA would be optimal, it is not technically feasible because there is no direct way to measure chromosomal knotting. Therefore, we have examined what happens when DNA strands collide to recombine and knot a 5.4 kb plasmid containing a gene required for cell survival. Plasmids appear to be a reasonable model for chromosomal metabolism. For example, supercoiling changes in reporter plasmids  mirror changes in the supercoiling of the chromosome [27, 28]. The recombined plasmid products generated by Hin are easily analyzed because of their small size. A recombination event occurring in the chromosome would be much more difficult to detect. Although Hin recombines and knots at the hix sites, the resulting knots can move during DNA metabolism. On the chromosome, this knot sliding could be as far as the size of a topological domain, ~10 kb , which would be more difficult to detect experimentally.
Here we show that Hin-mediated site-specific recombination and knotting led to dysfunction of the replicon and blocked expression of a gene on the plasmid. This process is highly mutagenic, and our results suggest that unless recombination and knotting are carefully controlled, intracellular DNA can be unstable. We suggest that such instability of the genetic material could help drive evolutionary variation.
The experimental approach we use here to study the cellular effect of recombining and knotting DNA is outlined in Figure 1A. We have shown previously that Hin recombines and knots plasmid DNA in E. coli that topoisomerase IV unties . The Hin site-specific recombination system models two in vivo processes: it tangles the DNA to create knots identical to those formed inside the cell and shuffles the DNA sequence to model DNA recombination [6–10]. The hin recombinase gene is provided by the plasmid pKH66 (hereafter referred to as pHIN) and is expressed from the tac promoter following induction by isopropyl-β-D-thiogalactopyranoside (IPTG). pHIN also encodes for spectinomycin resistance. E. coli cells harboring pHIN also contained either pBR322 (pBR), which lacks recombination sites and serves as a negative control, or one of two pBR22-derived plasmids pTGSE4 (pREC) or pRJ862 (pKNOT) that carry sites recognized by the Hin recombinase. All three plasmids contain the bla gene, which encodes β-lactamase and provides resistance to ampicillin. We used the bla gene as a reporter to assess the effects of recombining and knotting the DNA.
< 1% a
in vivo + NORb
35% , 45% 
> 80% 
Hin-mediated recombination and knotting of a plasmid alter function of a reporter gene
We first assessed the effect of Hin-mediated DNA recombination and knotting on resistance to ampicillin conferred by the bla gene on pBR, pREC and pKNOT. LB-agar contained a gradient of ampicillin , a constant concentration of spectinomycin to maintain the Hin expression vector and IPTG to induce expression of Hin. Wild-type E. coli K12 strains, C600 or W3110, containing pHIN and either pBR, pREC or pKNOT were streaked across the LB-agar. Whereas the strains containing pBR and pREC were able to grow on the highest ampicillin concentrations, growth of the strain carrying pKNOT was limited (Figure 1B). We determined whether this effect was specific to the gene encoded by the plasmid being targeted, pKNOT, or caused a general increased susceptibility to antimicrobial agents. Knotting (and recombination) had no effect on resistance encoded on a separate plasmid or on the chromosome: strains harboring the three plasmids were all growth inhibited at identical concentrations of spectinomycin (resistance encoded by pHIN) or norfloxacin (targets encoded by the chromosome) (data not shown). These results indicate that the sensitivity of E. coli to ampicillin is affected negatively when a knotted plasmid encodes its resistance. Knots impair the function of the replicon on which they form rather than cause a general effect on the cell.
We determined minimal inhibitory concentration (MIC50) values (the ampicillin concentration that inhibits 50% of bacterial growth) to quantify the Hin-mediated sensitivity to ampicillin. Strains harboring pKNOT were killed at a lower ampicillin concentration (1.4 mg/ml) than pBR (4.7 mg/ml) or pREC (2.3 mg/ml) (Figure 1C). The intermediate sensitivity of the pREC-containing strain to ampicillin compared to the pBR- and pKNOT-containing strains could be caused either by the intermediate level of DNA knotting that occurs in pREC or by Hin-mediated recombination of pREC.
Hin recombination and knotting alter β-lactamase levels
If it is knotting that caused the increased susceptibility to ampicillin, then, because topoisomerase IV resolves knots in E. coli, inhibiting topoisomerase IV should increase the amount of knots and cause an additional reduction of β-lactamase production from pKNOT. To test whether knotting increased ampicillin susceptibility, we utilized a temperature-sensitive topoisomerase IV mutant, parC ts. Although cell growth and viability are reduced at the non-permissive temperatures for parC ts, cell division continues to occur and produces enough viable offspring that we were able to obtain sufficient growth (OD600 = 0.3) to perform immunoblots. When either of the non-permissive temperatures, 37°C or 42°C, for the parC ts allele was used, the results were the same. pKNOT in the parC ts strain produced 8.5-fold less β-lactamase than pREC and 17-fold less than pBR when cells were grown in LB or M9 medium at the non-permissive temperature (Figure 2, right panels). Therefore, inhibiting the enzyme that unties the knots exacerbates the reduction in β-lactamase production. As with the MIC50 data above, it is unclear whether the β-lactamase differences between pBR and pREC are caused by Hin binding, recombining or knotting pREC. There is less β-lactamase produced in the parC ts harboring pKNOT than C600 containing pKNOT. However, the plasmids carried in the two strains have different superhelical densities. In the parC ts strain, DNA is more negatively supercoiled at the non-permissive temperature . The increased negative supercoiling should, if anything, slightly stimulate β-lactamase production. However, the knots counter this increase in β-lactamase production. Thus, the inhibitory effects of DNA knotting may be greater than measured because some effects are potentially being masked by the increase in negative supercoiling.
Molecular analysis of Hin-mediated effects
It has been observed in vitro that DNA knots can diminish transcription . Thus, the effect on β-lactamase production and ampicillin resistance we observed could be explained by an inhibition of bla transcription. However, it could also result from knots interfering with DNA replication, which would reduce the number of copies of the bla gene and, consequently, the amount of β-lactamase generated. An effect of DNA knotting on replication in vitro or in vivo has not been documented previously. Additionally, knots could reduce bla expression by causing pKNOT to break by weakening the tensile strength of DNA. Precedence of knots weakening and breaking polymers has been predicted by molecular dynamics simulations of polyethylene chains , shown using optical tweezers on actin filaments  and demonstrated with soft macroscopic strings  and with fishing line . It is possible that Hin mediates its effects through a combination of blocking transcription, interfering with replication and breaking pKNOT.
It was possible that some cells had lost all their plasmid DNA to become plasmid free and other cells retained normal plasmid levels or that all cells generally had reduced plasmid levels. To distinguish between these possibilities, we grew cells harboring pHIN and either pBR, pREC or pKNOT in the presence of IPTG and spectinomycin, under conditions identical to those used to evaluate plasmid levels and β-lactamase production, except ampicillin was not included. Cell culture dilutions were spread on LB-agar and incubated overnight at 30°C. The following day, the colonies were replica plated onto LB-agar ± ampicillin, grown overnight at 30°C and counted. The frequency of plasmid-free cells was the same among all the three strains and was similar to what others have observed for loss of pBR in E. coli grown in a rich medium (LB) over the time period comparable to the one used here (~3 h) . Thus, in these experiments, the Hin-mediated effect does not lead to complete loss of pKNOT. However, it is possible that given enough time complete plasmid loss might occur.
DNA catenanes are produced as intermediates of replication and they accumulate in temperature-sensitive topoisomerase IV mutants at the non-permissive temperature [22, 23]. When DNA replication is disrupted, replication catenanes do not accumulate ( and data not shown). We examined the levels of catenanes in parC ts carrying pHIN and either pBR, pREC or pKNOT. Plasmid DNA was isolated from parC ts strains grown for 40 min. at 42°C as before, nicked to remove supercoiling and analyzed by high-resolution agarose gel electrophoresis . Catenated pBR and pREC products were clearly visible, but DNA catenanes were greatly reduced for pKNOT (Figure 3B). Because catenanes were seen under conditions where either bla was fully functioning (pREC) or impaired (pKNOT), it does not seem likely that catenanes block replication and transcription (or cause mutagenesis). This experiment also provided an indirect method to examine the effect of knotted DNA on DNA replication. Because DNA replication is the only source of the catenanes, the observation that the level of DNA catenanes is reduced provides additional support that DNA replication is impaired in pKNOT.
Hin-mediated recombination/knotting is mutagenic
Hin-mediated mutation rates
Selective AMP concentration, mg/ml
Mutation rate per cell division
Mutation rate normalized to pBR
4.8 × 10-10
4.7 × 10-7
3.4 × 10-6
To determine the molecular basis for the hyper-resistance to ampicillin, plasmid DNA was isolated from mutant colonies and analyzed (Figure 5C). There were two notable and unanticipated features of these rearrangements. First, the isolated plasmid DNA was much larger than the parental pKNOT. This result was surprising because any number of deletions or substitution mutations could disrupt Hin recombination and these types of changes would either result in a smaller plasmid or no change in plasmid size. However, these latter types of alterations were not apparent. Second, we found that not only was pKNOT altered, but pHIN was also changed in the hyper-resistant mutants. Gross genetic rearrangements of the plasmid were visible by restriction endonuclease digestion of each sample (data not shown). These results suggest that recombination between pHIN and pKNOT is responsible for the rearrangements and the phenotype of hyper-resistance to ampicillin. Although Hin does not directly recombine or knot pHIN, it is likely that recombination between pHIN and pKNOT results in a fused plasmid that is either refractory to additional knotting/recombination or expresses β-lactamase at a sufficient level to confer hyper-resistance to ampicillin. Without causing ampicillin hyper-resistance, pKNOT-pKNOT fusions would not be selected. In an attempt to analyze the role of homologous recombination in this plasmid rearrangement, we tried, but were unable to transform mutant strains lacking recA or recD with pHIN.
The plasmid changes and ampicillin hyper-resistance were heritable. Plasmid DNA was isolated from the colonies that arose in the zones of clearance and transformed into C600 cells harboring pHIN. The plasmids conferred a higher level of ampicillin resistance than pKNOT as determined by Kirby-Bauer assay (data not shown). We found that in four of five transformants tested, the mutant plasmid-transformed cells retained hyper-resistance to ampicillin and there were no visible colonies in the new zones of clearance. Because of this, it appears that either no further DNA rearrangements are occurring or, if they are, these additional rearrangements do not confer ampicillin hyper-resistance. The transformant (1/5) that behaved similarly to pKNOT-containing strains indeed harbored pKNOT. Thus, the fused mutant plasmid appears to have resolved back into pHIN and pKNOT. To compensate for reduced production of β-lactamase, the mutant plasmids could contain either a mutated bla gene that produces an enzyme more efficient at metabolizing ampicillin, or the mutations could allow for increased production of the enzyme. Using immunoblot analysis as described above, we found that all the cells carrying the rearranged plasmids that were examined had increased β-lactamase production relative to pKNOT (Figure 5D).
To determine whether the larger molecular weight plasmid that had replaced pKNOT and pHIN contained DNA originally present in both pHIN and pKNOT, we transformed C600 with total plasmid DNA from the ampicillin hyper-resistant isolates. Plasmid DNA from four of the ampicillin resistant colonies was used in independent transformations. For each transformation, half of the transformed cells was spread on LB-agar containing ampicillin (100 μg/ml, sufficient to select for the parental pKNOT), and half was spread on LB-agar containing spectinomycin (50 μg/ml, to select for pHIN). We found that 64/64 spectinomycin resistant transformants were also resistant to ampicillin and 28/32 ampicillin resistant transformants were also resistant to spectinomycin. These results are consistent with a fusion between pHIN and pKNOT being responsible for the ampicillin hyper-resistance phenotype observed in the majority of mutants.
Intracellular DNA is supercoiled, compacted and highly concentrated. Consequently, DNA will collide frequently with itself, and the result of these collisions increases the potential for DNA recombining and knotting. We have analyzed what can happen when the collisions lead to recombining and knotting. The results are that both replication and transcription are blocked and genetic rearrangements are increased.
Mechanism of the Hin-mediated effect
DNA knots, and not recombination, are likely the predominant cause of Hin-dependent replication and transcription blocks and mutagenesis because the effect for pKNOT is more severe than for pREC. The effects were not caused by inherent differences in the three plasmids. Ampicillin MIC50 values of C600 strains harboring pHIN and either pBR, pREC or pKNOT grown in the absence of IPTG were identical (data not shown). In addition, the magnitude of the pKNOT-mediated effects was increased by compromising the activity of the enzyme, topoisomerase IV, responsible for unknotting DNA. However, in addition to unknotting, topoisomerase IV carries out two other cellular tasks: decatenation (reviewed in ) and DNA supercoil relaxation [24, 55]. Removal of the decatenation activity of topoisomerase IV did not account for the increased pKNOT-mediated effects because far more catenated replication intermediates were seen in parC ts cells containing either pBR or pREC than in those that contain pKNOT (Figure 3B). The DNA supercoiling shift resulting from the inhibition of topoisomerase IV is not enough to stimulate either the transcription of the supercoiling-dependent leu-500 promoter  or the λ integrase recombination system in vivo, suggesting that the increase in negative supercoiling resulting from inhibiting topoisomerase IV activity is unlikely to affect Hin recombination. It is possible that mechanistic differences in recombination on a substrate with two wild-type sites (pREC) compared to a substrate with one wild-type and one mutant site (pKNOT) could account for the Hin-mediated effects. For example, in a purified system, DNA cleavage by Hin is stimulated by a single mutant recombination site . Additionally, in vivo, DNA cleavage of pKNOT by pHIN has been detected .
Plasmids replicate completely in less than six seconds and do so asynchronously. Moreover, they transcribe constantly. Thus, a slight increase of a lethal DNA form could have large consequences. Although topoisomerase IV rapidly unties knots, perhaps knot-induced problems, such as stalled replication forks, or stalled or blocked transcription, persist longer than the knots themselves. Indeed because topoisomerase IV can resolve DNA knots as they are formed, then, as the copy number of the plasmid goes down, there should come a point at which topoisomerase IV can resolve all the knots produced by the Hin system. The result would not be a complete loss of plasmid, but instead a steady-state level lower than that found with unknotted DNA, which is what we observed (Figure 3A). It is difficult to envision a process analogous to topoisomerase IV unknotting that would reverse the effects of Hin-mediated site-specific recombination. Thus, if recombination were leading to the loss of plasmids, it would seem that the unchecked altered plasmid would be lost completely from a population of cells in the absence of selection, which was not observed.
The DNA knot- or recombination-created blockage could impinge upon either the initiation or elongation of gene transcription or DNA replication. Gene promoters and replication origins are small relative to plasmids. Unless DNA knots preferentially form in or are localized to promoters or origins, or are hotspots for recombination, then it is expected that the polymerase roadblocks would occur at arbitrary positions on the DNA. Thus, such blockages would likely be outside of where transcription or DNA replication initiates.
It has been demonstrated that when topoisomerase IV activity is reduced by mutation, priA, which encodes the PriA protein that plays an important role in restarting blocked replication forks, becomes an essential gene [57, 58]. It is possible that the stalling of replication forks at knots is the cause of this need for PriA and would explain why the presence of gyrase, which can remove positive supercoils, but not knots, is insufficient to keep replication moving in these cells.
Implications for cellular physiology and evolution
Given (i) the abundance of recombinases, transposases and topoisomerases found in both prokaryotic and eukaryotic organisms, (ii) the lack of sequence specificity by these enzymes, (iii) the confined space for the chromosomes and (iv) the propensity of DNA to react and entangle with itself, DNA rearrangements that lead to cellular transformation or death, or that contribute to the mutations that shape evolution seem likely to occur. In other words, an intrinsic lack of DNA stability might have helped drive selection and genetic change. In addition, cellular stress causes a number of recombinases and transposases to be activated [59, 60]. Perhaps this activation creates a transient "hypermutable state" that allows cells to develop a mechanism to overcome the stress. Such an event would be similar to that suggested to occur during adaptive mutagenesis when E. coli are starved for lactose [61–63]. Consistent with this idea, cells harboring transposons such as Tn10, which can recombine and knot DNA, will out-compete cells lacking Tn10 that are otherwise isogenic, which suggests that the transposon confers a greater evolutionary fitness [64, 65].
Our results suggest that recombined and knotted forms of DNA are problematic for the cell. Thus, it is the DNA conformation, rather than the primary sequence, that causes malfunctions. Effects of transient changes in conformation may then persist through induced mutations in the primary sequence. Unexpectedly, the DNA molecule undergoing site-specific recombination/knotting can "attack" a bystander DNA, and thus both DNA molecules may be altered.
Strains and Plasmids
E. coli strains C600, ParC1215 (parC ts) and W3110 were described previously [21, 66]. Plasmid pKH66 (pHIN) contains the S. typhimurium hin gene under control of the tac promoter and expresses Hin upon addition of isopropyl-1-thio-β-galactoside (IPTG) [21, 67]. pTGSE4 (pREC)  is a pBR322-derived plasmid containing the Gin recombination (gix) sites and enhancer from bacteriophage Mu. Gin, Hin and their respective recombination sites are interchangeable . pRJ862 (pKNOT) contains hix recombination sites and the enhancer binding site for the Hin recombinase from S. typhimurium . One hix site contains a single base pair change, which forces a second round of recombination to tie knots by preventing religation after only one round . To create the strains used throughout this work, we used a CaCl2 method to transform wild-type E. coli with plasmid DNA (typically 100 ng).
Antibiotic resistance measurements
Gradient plates  and Kirby-Bauer  disc diffusion assays were used to measure antibiotic resistance. Saturated overnight cultures containing the strains were diluted 30- to 100-fold in LB containing 1 mM IPTG and 50 μg/ml spectinomycin. The freshly diluted cultures were grown at 37°C until they reached OD600 = 0.3. For the Kirby-Bauer disc diffusion assays, cells were spread on LB-agar containing 1 mM IPTG and 50 μg/ml spectinomycin. The plates were allowed to dry for 20 min. and discs containing 10 μl of different ampicillin concentrations (0 – 500 mg/ml) were placed onto the agar. The plates were then incubated overnight at 37°C. The diameter of the cleared zone around each disc was measured. For the gradient plate assay, cells were spread on square plates containing a gradient from 0 to 17.5 mg/ml ampicillin, and then incubated overnight at 37°C. The plate dilution method was used to determine the ampicillin MIC50 values. The three E. coli strains harboring pHIN and either pBR, pREC or pKNOT were grown overnight in LB medium containing 100 μg/ml ampicillin, 50 μg/ml spectinomycin and no IPTG. These cultures were diluted 500-fold in LB medium containing 50 μg/ml spectinomycin and 1 mM IPTG, but no ampicillin. The freshly diluted cultures were grown with shaking to mid-logarithmic phase (OD600 = 0.3 – 0.4) at 37°C. Appropriate dilutions (to final cell counts of approximately 100 and 1000 per plate) were spread onto LB-agar alone and LB-agar containing ampicillin concentrations from 1.3 to 4.8 mg/ml, 50 μg/ml spectinomycin, but no IPTG. Colonies were counted following overnight incubation at 37°C. For each of the three strains, regression analysis was performed to determine the best-fit curve through the data points (2670: n = 10, 2671: n = 9 and 2672: n = 8) in the plot of survival as a function of ampicillin concentration. From this best-fit curve, the ampicillin MIC50 values were extrapolated.
Antibodies and immunoblotting
Isogenic C600 and ParC1215 (parC ts) strains were grown overnight in LB medium without IPTG. Cells were diluted 1/100 into LB medium and grown with shaking ± 1 mM IPTG and 50 μg/ml spectinomycin to mid-logarithmic phase (OD600 = 0.3 – 0.4) at 37°C or 42°C. Duplicate sets of whole cell extracts were made by resuspending equal amounts of pelleted cells in loading buffer (125 mM Tris-HCl, pH 6.8; 1.4 M β-mercaptoethanol; 20% glycerol; 2% SDS; 0.1% Bromophenol blue), boiling for 3 min. and subjecting to 10% SDS-PAGE. One set was stained with Coomassie blue to ensure equal protein amounts were loaded. The other set was blotted to a nitrocellulose Protran membrane. The blots were probed with (1:10,000 dilution for all) antisera to β-lactamase (a kind gift of T. Palzkill, Baylor College of Medicine, Houston), anti-AcrA (a kind gift of H. I. Zgurskaya, University of Oklahoma, Norman), anti-ParC or anti-ParE (kind gifts of the late N.R. Cozzarelli, University of California, Berkeley), incubated in SuperSignal West chemiluminescent reagent (Pierce, Rockford, IL) and visualized with a charge coupled display camera.
Plasmid loss assay
Cells were grown as for Western blot analysis. Plasmid DNA was isolated by the alkaline lysis method , linearized with Hind III (which cuts pKNOT and pHIN once) and separated by electrophoresis on 1% agarose (TAE) gels. Plasmid levels were quantified by densitometric scanning (NucleoVision software, NucleoTech Corp., San Mateo, CA) of images of ethidium bromide-stained gels. Assuming pHIN levels do not change among the strains, plasmid bands were first normalized within each lane to the pHIN vector. These standardized band values are shown relative to the value for pBR within each strain background. To determine whether entire plasmid populations were lost from cells, various dilutions of cells grown in LB medium were spread onto LB-agar and replica plated on agar ± 100 μg/ml ampicillin. Colonies were counted following overnight incubation at 30°C (C600 and parC ts) or 37°C (C600).
DNA catenane analysis
DNA catenanes were analyzed as done previously . parC ts cells containing pHIN and either pBR, pREC or pKNOT were grown at 30°C to mid-logarithmic phase (OD600 = 0.3 – 0.4). IPTG was added to a final concentration of 1 mM to induce Hin expression. After 10 min., cells were shifted to 42°C to inactivate the mutant topoisomerase IV. Forty minutes later, plasmid DNA was isolated , nicked with DNase I to remove supercoiling  and displayed by high-resolution gel electrophoresis . The DNA was then transferred to a Zeta Probe nylon membrane (Bio-Rad Laboratories, Hercules, CA) and probed with [α-32P]-dCTP (GE Healthcare, Little Chalfont, UK) labeled pBR322 (made by random priming, Amersham Megaprime™ DNA labeling systems, GE Healthcare, Little Chalfont, UK), which hybridizes all three plasmids.
Isolation of ampicillin resistant colonies and fluctuation analysis
Ampicillin resistant colonies that grew inside the zone of clearance (Figure 5A) were streaked onto LB-agar plates containing 1 mM IPTG, 50 μg/ml spectinomycin and 1 mg/ml ampicillin and incubated overnight at 30°C. These conditions were used to prevent the accumulation of revertants to ampicillin sensitivity. To determine the mutation rate, E. coli harboring pHIN and either pBR, pREC or pKNOT were grown overnight in LB medium containing 100 μg/ml ampicillin, 50 μg/ml spectinomycin and no IPTG. The overnight cultures were diluted 6,000-fold into LB medium (~105 cells/ml) containing no ampicillin, 50 μg/ml spectinomycin and 1mM IPTG and divided into ten 1.2-ml aliquots. These aliquots were grown with shaking to mid-logarithmic phase (OD600 = 0.3 – 0.4) at 37°C to obtain parallel, independent cultures. The number of ampicillin resistant mutants that originated in each culture was determined by spreading 2 × 70 μl (pBR- and pREC-containing strains) or 2 × 200 μl (pKNOT-containing strain) of undiluted culture onto LB-agar containing various ampicillin concentrations, 50 μg/ml spectinomycin, but no IPTG. 16.1 mg/ml ampicillin was used for the strain harboring pBR; 7.9 mg/ml ampicillin was used for the strain harboring pREC; and 4.8 mg/ml ampicillin was used for the strain harboring pKNOT. Each of these ampicillin concentrations is 3.4-fold higher than the corresponding strain's ampicillin MIC50. The total number of cells was determined by spreading dilutions of each culture on LB-agar. Colonies were counted after incubation overnight at 37°C. The probable number of mutations per culture (m) was calculated from the distribution of hyper-resistant mutants in the independent cultures using the MSS maximum likelihood method. Then the mutation rate (μ) was calculated as μ = m/2Nt, where Nt is the total number of cells per culture .
We thank Dr. Stacy Merickel and Dr. Reid Johnson for Hin reagents pKH66 and pRJ862 and for sharing unpublished results. We are grateful to Dr. Timothy Palzkill and Dr. Helena I. Zgurskaya for providing antibodies. We are grateful to Dr. Mary-Jane Lombardo for comments on the manuscript. Funding for this work was provided by the National Science Foundation MCB-0090880, the National Institutes of Health RO1 AI054830, a Burroughs Wellcome Fund New Investigator Award in the Toxicological Sciences and the Curtis Hankamer Research Award to LZ. RWD and JKM were supported by pre-doctoral fellowships from the Program in Mathematics and Molecular Biology at Florida State University with funding from the National Science Foundation and the Burroughs Wellcome Fund Interfaces Program.
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