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Tomizawa J. Control of ColE1 plasmid replication: the process of binding of RNA I to the primer transcript. Cell. 1984 Oct;38(3):861-70.</p><p> | Tomizawa J. Control of ColE1 plasmid replication: the process of binding of RNA I to the primer transcript. Cell. 1984 Oct;38(3):861-70.</p><p> | ||
Camps M. Modulation of ColE1-Like Plasmid Replication for Recombinant Gene Expression. Recent Patents on DNA & Gene Sequences. 2010 Oct; 4:58-73</p><p> | Camps M. Modulation of ColE1-Like Plasmid Replication for Recombinant Gene Expression. Recent Patents on DNA & Gene Sequences. 2010 Oct; 4:58-73</p><p> | ||
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<p>The co-transformants were grown for 24 hours for the first colonies to appear, as all the plasmids had identical replicons (pSB1C3). Cell were sensitive and could not be inoculated into liquid LB medium containing standard kanamycin concentrations. Further optimizations with lower antibiotic quantities and different replicons are needed. Nevertheless, SynORI selection framework enabled bacteria to sustain 5 different plasmids with identical origins of replication in the presence of one selection marker, contrary to using a batch of different antibiotics as described earlier.</p> | <p>The co-transformants were grown for 24 hours for the first colonies to appear, as all the plasmids had identical replicons (pSB1C3). Cell were sensitive and could not be inoculated into liquid LB medium containing standard kanamycin concentrations. Further optimizations with lower antibiotic quantities and different replicons are needed. Nevertheless, SynORI selection framework enabled bacteria to sustain 5 different plasmids with identical origins of replication in the presence of one selection marker, contrary to using a batch of different antibiotics as described earlier.</p> | ||
− | <h5>References</h5> | + | <h5>References</h5><p> |
− | <p>Stable Maintenance of Multiple Plasmids in E. coli Using a Single Selective Marker | + | Stable Maintenance of Multiple Plasmids in E. coli Using a Single Selective Marker |
Calvin M. Schmidt, David L. Shis, Truong D. Nguyen-Huu, and Matthew R. Bennett. ACS Synthetic Biology 2012 1 (10), 445-450 DOI: 10.1021/sb3000589</p> | Calvin M. Schmidt, David L. Shis, Truong D. Nguyen-Huu, and Matthew R. Bennett. ACS Synthetic Biology 2012 1 (10), 445-450 DOI: 10.1021/sb3000589</p> | ||
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Revision as of 00:28, 2 November 2017
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Determining the plasmid copy number
Preparing for the framework: standard curve generation and plasmid copy number evaluation
Plasmid copy number control
Flexible copy number control is the core of our framework, which is based on re-engineered ColE1 origin of replicon.
Multiple plasmid groups
Multi-plasmid framework would not be much without multiple plasmids. We have equiped our synthetic origin of replication with specific recognition sequences to create unique plasmid groups.
Global copy number regulation
A global parameter to control every plasmid group at the same time. Introducing Rop protein!
SynORI selection system
Having multiple plasmids in a cell means using multiple antibiotics. Or does it?
Active partitioning system
If at least one of the plasmid group has a low copy number, they require extra care to not be lost at cell division. Therefore, SynORI framework incorporates a special partitioning system derived from pSC101 replicon.
- Description
-
Design
- Determining the plasmid copy number
- Plasmid copy number control
- Multiple plasmid groups
- Global copy number regulation
- SynORI selection system
- Active partitioning system
- Modelling
- Results
- Proof of concept
- Interlab
- Safety
Determing the plasmid copy number
The foundation of multi-plasmid framework is the ability to determine plasmid copy number (PCN) per cell. Our approach to count the PCN in the cell is built upon absolute quantitative PCR.
By using two different standard curves we are able to evaluate bacteria and plasmid copy number in the reaction. The PCN per cell is found by dividing the total PCN by the cell number. As described by Plotka M. et al, the separate detection of the plasmid and the host cell chromosomal DNA was achieved using two separate primer sets, specific for the plasmid Ori sequence and for the chromosomal d-1-deoxyxylulose 5-phosphate synthase gene (dxs), respectively. Ratio of these genes copy number gives PCN per cell.
Why we chose a specific set of primers for PCN determination?
Commonly, gene used for PCN evaluations in qPCR is an ampicillin resistance gene (bla). In our case, the bla gene for plasmid number determination was not used, as the SynORI multi-plasmid framework employs a number of plasmids with different selection system gene circuit parts. Instead, the origin of replication was barcoded with distinct sets of primers (named qPCR) for different groups of origin copy number determination. This enables to determine the desired plasmid group copy number, when working with multi-plasmid systems.
Using cell lysates instead of extracted DNA
Since working with extracted genomic, plasmid or total DNA incorporates an error which depends on the extraction efficiency, we decided to work with specially prepared cell lysate suspensions, skipping the extraction step. Furthermore, dxs gene from chromosome was ligated into pUC19 plasmid for less complicated standard preparation.
Results
First of all, it was concluded that primers, designed for calculations, are appropriate for absolute quantitative PCR by measuring the efficiency of PCR amplification reaction. Both genes have almost ideal amplification efficiency and required no further optimization.
Amplified qPCR product were verified using agarose gel electrophoresis.
Next, standard curves were generated for dxs and qPCR plasmid gene copy number determination according to the protocol written by our team (click here?).
The fit of the linear regression model was satisfactory; the coefficient of determination (R2) was more than 0.999 for all standard curves. As amplification efficiencies and generated standard curves were ideal for both genes, the curves and earlier mentioned protocol were used for all further PCN determination experiments.
Refference:
Plotka M, Wozniak M, Kaczorowski T. Quantification of Plasmid Copy Number with Single Colour Droplet Digital PCR. Doi H, ed. PLoS ONE. 2017;12(1):e0169846. doi:10.1371/journal.pone.0169846.
Anindyajati, Artarini AA, Riani C, Retnoningrum DS. Plasmid Copy Number Determination by Quantitative Polymerase Chain Reaction. Scientia Pharmaceutica. 2016;84(1):89-101. doi:10.3797/scipharm.ISP.2015.02.
When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$Plasmid copy number control
Flexible copy number control is the core of our framework, which is based on re-engineered ColE1 origin of replication.
Base of SynORI framework - ColE1 replicon
ColE1 plasmid replicon is based on two antisense RNA molecules: RNA I and RNA II.
The transcript of RNA II forms a RNA-DNA duplex and acts as a primer for DNA polymerase and for that reason is often called a replication initiator.
During the transcription of RNA II, several different secondary structures can form. Part of these structures are susceptible to the binding of RNA I – a shorter antisense version of RNA II. The interaction between RNA I and RNA II begins upon the formation of kissing-loop pairs between their anti-complementary secondary structures. If the kissing complex persists, a 3’ end of RNA I starts forming a zipper-like duplex with a complementary region of a single strand RNA II. Because the primer cannot be formed anymore, this results in replication inhibition, which is why RNA I is often called the replication inhibitor.
The main reasons why we have chosen ColE1 as base for SynORI framework were:
- Its proficient biochemical and mathematical characterization;
- Its simplicity for consisting of only two regulatory RNA molecules;
- The favor of kissing-loop complex formation kinetics to predict plasmid group compatibility.
Picking the control type
It immediately becomes clear that in order to control the copy number of a plasmid, one could simply change the RNA I promoter. However, there is a reason why it has never been done before!
As mentioned above, RNA I and RNA II are two antisense molecules, so it is impossible to change one without altering the sequence of another molecule. RNA I promoter is located right on top of the RNA II secondary structures, which are not used for inhibition, but are crucial to form the RNA-DNA duplex for replication initiation.
Even if one managed to somehow substitute the RNA I promoter with another without disabling replication, it would still be inconvenient because this method would require a large pool of resources every time.
For that reason we have decided not to modify or replace the RNA I promoter inside the initial (laukinio tipo?) wild type origin of replication, but rather to disable it completely and place a copy of it next to RNA II.
Disabling the RNA I promoter
As already indicated, the main problem of inactivating the RNA I promoter is the necessity to take precautions in order keep the critically important secondary structures of RNA II intact.
We have first acquired a priority mutation list from the literature. The list analysed RNA polymerase binding affinity to -10 and -35 promoter region and its dependence on point mutations, with mutations causing the largest decrease in affinity being displayed on the top of the list.
We compiled a simulative algorithm which compared every possible combination of -10, -35 mutations and then matched them to predicted RNA II secondary structures made by CoFold, a thermodynamics-based RNA secondary structure folding algorithm that took co-transcriptional folding into account. Afterwards we set a replicon mutants prioritizing:
- Mutants that had unchanged RNA II secondary structures.
- Mutants that were on the top of mutation priority list (meaning the lowest RNA polymerase affinity).
AURIMO GRAFIKAS
Sequences of the 5 best mutants after running simulation:
WT
ori2
We had ordered the selected ColE1 mutants from the IDT and later tested if we had successfully disabled the RNA I promoter.
It is difficult to distinguish when the promoter is fully disabled because first, there is no literature data describing replicons that are not negatively regulated at least to some extent, and second - plasmid systems hardly reach the equilibrium without negative control therefore every copy number calculation varies greatly. This is why we decided not to check for the highest copy number mutant, but rather to insert a wild type RNA I with its wild type promoter. By doing that we could see which replicons were most precisely mutated.
If the plasmid copy number (PCN) did not differ from wild type after the insertion of an RNA I gene next to the mutated replicon, it proved a complete disabling of the replicon. Contrary, if the copy number decreased, we could suspect that the replicon did not have a completely disabled RNA I and the sum of inhibition from both RNA I genes reduced the copy number to even lower values than in the wild type replicon.
First, we planned to calculate the copy number of our mutants that supposedly had their RNA I gene promoter disabled (mutants ORI 1, ORI 2, ORI 3, ORI 4, ORI 5). After that, we aimed to calculate the copy number of the corresponding mutated replicons, but with RNA I gene containing its wild type promoter cloned next to them.
After transformation, cells with ORI 5 plasmids did not grow successfully, which suggested a conclusion that this mutant had either severely damaged RNA II gene or increased expression of RNA I to the level of complete replication inhibition.
Since 4 other mutants had grown after the transformation, we incubated the cells overnight, purified the plasmids and cloned wild type RNA I with its wild type promoter next to each of the mutants. We then calculated the copy number of 8 samples: 4 ORI mutants and 4 ORI mutants with RNA I placed next to them.
GRAFIKAS. Figure 1. Copy number calculations of the RNA I promoter elimination mutants. Two biological replicates were performed, with 2 technical qPCR replicates each time.
Firstly, ORI 1 mutant had a moderate increase in copy number (Figure 1). Yet, with RNA I next to the replicon, the copy number did not seem fall back to wild type levels. We hypothesize that the reason for this was the damage done to the RNA II gene. The damage resulted in mutant formed secondary structures no longer sufficiently interacting with inhibitory RNA I molecules.
ORI 3 did not seem to increase much in copy number. We did not consider it to be a good candidate as well, because we wanted our core synthetic ori to possess a range of copy numbers to choose from.
The third candidate, ORI 4, seemed to be a decent candidate because with cloned RNA I its copy number fell to near wild type levels, but it also did not prove to be good enough, because its maximum number of copies was too low.
ORI 2 mutant seemed like a perfect candidate. Its copy number increased from wild type X levels to Y +- Z. In addition, when RNA I gene was placed next to it, the copy number of the constructed plasmid fell to wild type levels. After these results we have decided to use this ORI 2 mutant as a core for our framework. We simply called it RNA II (Part:BBa_K2259000 ).
Tailoring the copy number control
Once the RNA I promoter was disabled in the ColE1 origin of replication, it could be moved to a different plasmid location and used as a separate unit. Also, RNA I promoter can be changed without having to worry about damaging the initiation of replication. RNA I and consequently the copy number of a certain plasmid can now be placed under virtually any signal pattern required.
We have discovered the sequence of wild type RNA I promoter by using PromoterHunter. and ordered a wild type RNA I gene from IDT without the promoter’s sequence. We have first cloned series of anderson promoters next to the RNA I gene and then placed this construct next to RNA II (RNA II-Anderson-RNA I).
GRAFIKAS. Figure 2. RNA I and RNA II constructs, with RNA I constructs under different-strength Anderson (See anderson collection here http://parts.igem.org/Promoters/Catalog/Anderson ) promoters.
In theory (see “Modelling” for more details), lower-strength Anderson promoters should yield lower concentrations of RNA I, hence higher copy numbers of plasmids per cell. Our constitutive copy number device experiment results prove it to be true in practice as well. The stronger Anderson promoter is used, the less copy number per cell we get. With the strongest Anderson we get only 21+-6.84 plasmids per cell.
Worth to mention is that the closest to wild type ColE1 replicon is the 0.86 strength Anderson promoter, measured by copy number alone. (Part:BBa_K914003).
For this experiment we have built a rhamnose and RNA I construct (Part:BBa_K2259065) and then cloned this construct next to RNA II (Part:BBa_K2259091). We have used different percent of rhamnose in our media in order to see if this approach was possible and if so, to figure out the dependency between the plasmid copy number and rhamnose concentration.
Grafikas. Figure 3. RNA I and RNA II constructs, with RNA I gene being under the rhamnose promoter.
The first thing we noticed was that rhamnose promoter was very strong in terms of plasmid copy number reduction. It was also considerably leaky (promoter can be enabled even without any inducer). At zero induction there were approximately only 9 plasmids per cell and at 1 percent induction the number rose to approximately 1 plasmid per cell.
RNA I rhamnose-induced promoter seemed to be working well, with higher concentrations of inductor giving lower plasmid copy number.
We called it the SynORI copy number induction device.
So now when we can flexibly control the copy number of a plasmid, the only question is - what will come next?
References
Tomizawa J. Control of ColE1 plasmid replication: the process of binding of RNA I to the primer transcript. Cell. 1984 Oct;38(3):861-70.
Camps M. Modulation of ColE1-Like Plasmid Replication for Recombinant Gene Expression. Recent Patents on DNA & Gene Sequences. 2010 Oct; 4:58-73
Som T, Tomizawa J. Regulatory regions of ColE1 that are involved in determination of plasmid copy number. Proc Natl Acad Sci U S A. 1983 Jun; 80(11): 3232–3236.
Tomizawa J, Itoh T, Selzer G, Som T. Inhibition of ColE1 RNA primer formation by a plasmid-specified small RNA. Proc Natl Acad Sci U S A. 1981 Mar;78(3):1421-5.
Masukata H, Tomizawa J. Control of primer formation for ColE1 plasmid replication: Conformational change of the primer transcript. Cell. 1986 Jan; 44(1): 125–136.
Brenner M, Tomizawa J. Quantitation of ColE1-encoded replication elements. Biochemistry. 1991 Jan; 88:405-409.
Brewster R. C, Jones D. L, Phillips R. Tuning Promoter Strength through RNA Polymerase Binding Site Design in Escherichia coli. PLoS Comput Biol. 2012 Dec; 8(12): e1002811.
Multiple plasmid groups
Multi-plasmid framework would not be much without multiple plasmids. We have equipped our synthetic origin of replication with specific sequences to create unique plasmid groups.
PAs RNA I and RNA II interact mainly with the three stem loops that form kissing complexes, we have decided to use this feature to our advantage in order to engineer different plasmid groups by adding unique, group-specific sequences to RNA I and RNA II stem loops.
The specific sequences were acquired from Grabow et al., where they have screened a large number of different RNA kissing stem loop complex combinations. They have derived a table of different loop sequences that only bind with each other but do not have any cross interaction to the following loop sequences in the list.
The inactivation and transfer of RNA I gene away from RNA II allows us to use different sequences for RNA I and RNA II molecules that are not necessarily ideal complements of each other.
Since there are three stem loops responsible for RNA I–RNA II interaction for each of the plasmid group we have decided to:
- Use two different unique sequences in the first two RNR I and RNR II stem loops, in order to maximize same group specificity.
- Keep RNA II unchanged for the third loop but change it in the RNR I by adding either G/C mutations to RNA I (GC type RNA I) or making RNA I completely non-complement to RNA II (NC type RNA I).
According to literature
So now we have 5 different RNA II genes corresponding to groups A, B, C, D and E.
Also, we have 10 different RNA I alternatives: A , B, C, D, E with each having a version of either G/C or NC mutations.
These different plasmid groups can then be co-maintained in cell with a specific, pre-selected copy number. Copy number control principle is the same for every group, but each group is only specific to its own group.
Global copy number regulation
Rop protein
Now that we have figured out and engineered a way to regulate plasmid copy number in a group - specific fashion the only control element that is missing is a way to control every group at the same time.
Recall, we have used ColE1 replicon as base of our system. And it has given us a perfect hint on how to achieve our current objective. Wild type ColE1 replicon codes a small homodimeric, four-helix bundle protein called Rop (also known as repressor of primer).
Literature shows that Rop secondary structure specific, rather than sequence specific. What that means is that rop recognises RNA I - RNA II kissing loop complex.
When Rop binds to secondary structures, it increases the binding affinity of RNA I and RNA II and consequently - replication inhibition.
As our framework approach is based on specific RNA sequence binding, having a Rop protein in our system is equivalent of having a global copy normal regulator. In theory, the protein should bind to every complex despite the specific interactions of each group, because the binding geometry should stay similar in each case.
We have designed Rop protein with an anderson promoter and showed that it can reduce the copy number of single plasmid, and multiple plasmids non-specifically.
Selection system
Split antibiotic – 2 plasmids system
One of the essential parts of synthetic biology are plasmids. However, bacterial plasmid systems require a unique selection, usually an antibiotic resistance gene, to stably maintain the plasmids. As the number of different plasmid groups used in a single cell rise, the need for more selection markers grows. In addition to raising the issue of biosafety, the use of multiple antibiotic resistance genes destabilizes the functionality of the cells. To address this problem a protein granting the resistance to aminoglycoside family antibiotics, called amino 3'-glycosyl phosphotransferase (APH(3')), was split into two subunits by Calvin M. Schmidt et al.
According to the obscure guidelines we split an unmodified neo gene sequence between 59 and 60 amino acid residues. Two subunits were termed α-neo and β-neo. Furthermore, we added additional termination codon at the end of an α-neo fragment for the translation to stop. No other start codons were included into the β-neo subunit as the gene was designed for toehold switch system. Despite the fact that β-neo subunit had no start codon, the split antibiotic system worked perfectly when coupled with a standard promoter and a ribosome binding site (BBa_K608002). Consequently, a split antibiotic resistance gene provides a selection system to stably maintain two different plasmids.
Toehold switches – 4 plasmids system
In order to increase the capability of our selection system, we reasoned that a split antibiotic system should be put under a transcriptional or translational control. A. A. Green et al. presented wide range of de novo synthesized dynamic riboregulators, called toehold switches, which take advantage of RNA-mediated linear interaction to initiate RNA strand displacement. A toehold switch contains two parts: a ribosome binding site and a linker sequence, both of which are sequestered by a secondary RNA stem loop structure. The linker sequence has a start codon and functions as a link.
Although the linker sequence adds additional 10 amino acid residues to the peptide, we reasoned that it will not affect the function of split antibiotic. Toehold switches are unlocked when an RNA trigger binds to the 5’ end of the toehold and initiates RNA duplex formation, which releases the locked RBS and reveals linker start codon. We concluded, that if the toehold sequences were added in front of α- and β-neo gene fragments, the translation would require trigger RNA to initiate protein synthesis.
Toeholds and their corresponding triggers design sequences were used as described by A. A. Green et al. with some modifications. First of all, it is important to note, that a “scar” which is made between biobrick prefix for protein coding sequences and suffix, contains a termination codon at the 3’ end. Therefore, it was necessary to use the other form of prefix for α- and β-neo genes, as the translation proceeds from one biobrick to another. Furthermore, seeing that the “scar” produced when joining two biobricks is 8 base pairs, we included an additional T nucleotide at the end of linker sequence to ensure the translation stays in frame to the α- and β-neo genes.
We constructed a system, which includes two toehold riboregulators (termed toehold 1 and toehold 2) upstream of α- and β-neo genes in two different plasmids. The corresponding activating RNA triggers (name trigger 1 and trigger 2) were placed into additional two plasmids under constant expression. All the parts used together complete a 4-plasmid selection system - two distinct trigger RNAs are expressed by two different plasmids in order to unlock the translation of toehold controlled α- and β-neo peptides to form a complete amino 3'-glycosyl phosphotransferase. For this reason, if one plasmid is lost, the end product – α/β dimer APH(3') is not formed, therefore bacteria lose their antibiotic resistance.
Phage control – 5 plasmids system
The SynOri selection system circuit could be expanded by including additional transcription factor which induced the transcription of previously described RNA triggers. The fifth plasmid would house a transcription factor for the initiation of whole system. Phage modified promoter is perfect for this task, as it is activated by cI lambda peptide and repressed by cI 434 peptide with minimal leakage. Both of the RNA triggers - 1 and 2 - were placed under control of phage modified promoter. Furthermore, downstream of the trigger gene we included cI 434 repressor under constant expression to ensure minimal leakage of the promoter. The fifth plasmid was built to constantly express cI lambda – the activator of phage promoter. In the absence of this plasmid, the gene circuit cannot function, as the trigger RNA transcription is repressed by constant cI 434 expression and toehold switches lock the translation of α/β APH(3'). When the final component of the circuit is present, the cI lambda activator enhances the transcription of both RNA triggers. The transcribed triggers then unlock the translation of α/β neo peptides which form an active protein and confer the resistance to aminoglycoside family antibiotics.
Results
2 plasmids selection system
The minimal SynORI selection system, designed for maintaining two plasmids in a cell, was validated by coupling two parts of the split antibiotic coding sequences - α-neo BBa_K2259018 and β-neo BBa_K2259019 - to constant expression promoter in two pSB1C3 plasmids.
4 plasmids selection system
In addition to split antibiotic system, we were able to co-transform 4 plasmids using only kanamycin as the selection marker by implementing a riboregulatory system upstream of the previously described divided neo gene. We employed toehold switches, an orthogonal translational regulation devices, to lock the protein synthesis of the corresponding split subunits (parts: BBa_K2259034 and BBa_K2259035). Furthermore, constantly expressed RNA trigger sequences (parts: BBa_K2259038 and BBa_K2259040) were added into additional two plasmids to complete the 4 plasmid genetic circuit. Our team has developed and optimized an electroporation protocol to carry out our transformation needs.
It is important to note that, in contrast to our SynORI framework, all four plasmids were the same (pSB1C3) - it had identical replicons. As a result, the selection system became unstable after long period of growth due to replicon cross-interaction. Nevertheless, as you can see from Table 1., carrying out similar experiments with 4 different antibiotics produced zero bacterial growth!
Table 1. Experimental data of 4 plasmid electroporation results.
5 plasmids selection system
The hallmark of SynORI selection framework is genetic circuit which enables 5 plasmids to be maintained in a single cell using only one selection marker. That goal has been reached by employing modified phage promoter (BBa_I12006) to construct signal activated trigger RNA transcription devices (BBa_K2259042 and BBa_K2259043) that are controlled from the fifth plasmid.
The co-transformants were grown for 24 hours for the first colonies to appear, as all the plasmids had identical replicons (pSB1C3). Cell were sensitive and could not be inoculated into liquid LB medium containing standard kanamycin concentrations. Further optimizations with lower antibiotic quantities and different replicons are needed. Nevertheless, SynORI selection framework enabled bacteria to sustain 5 different plasmids with identical origins of replication in the presence of one selection marker, contrary to using a batch of different antibiotics as described earlier.
References
Stable Maintenance of Multiple Plasmids in E. coli Using a Single Selective Marker Calvin M. Schmidt, David L. Shis, Truong D. Nguyen-Huu, and Matthew R. Bennett. ACS Synthetic Biology 2012 1 (10), 445-450 DOI: 10.1021/sb3000589
Active partitioning system
SynORI framework gives the opportunity to have low copy plasmid groups, yet in order for them not to be lost during cell division, there must be a mechanism that actively keeps plasmids in the cell.
We have looked into different active partitioning systems and first chose to characterize and apply a Staphylococcus aureus type II plasmid segregation system to our framework. Yet, after a lot of consideration we have decided to search for alternatives. The main reason was that partitioning system of S. aureus is rather large, almost 49 kDa, as it codes two large proteins for segregation.
We have then stumbled upon a described pSC101 plasmid stability region which is a lot different from its counterpart. It does not seem to encode any protein but rather contains a binding site for DNA gyrase (Wahle and Kornberg, 1988). Most importantly, the regulatory region is only 400 base pairs long.
It has been showed that pSC101 plasmids with partial deletions of stability region have decreased supercoiling and are extremely unstable. This has led to the proposal that gyrase-generated negative supercoiling establishes a DNA conformation which enables plasmids to interact with E. coli structures and distribute them to daughter cells during cell division (Miller et al., 1990)