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Directed evolution of colE1 plasmid replication compatibility: a fast tractable tunable model for investigating biological orthogonality

Abstract Plasmids of the ColE1 family are among the most frequently used in molecular biology. They were adopted early for many biotechnology applications, and as models to study plasmid biology. Their mechanism of replication is well understood, involving specific interactions between a plasmid encoded sense-antisense gene pair (RNAI and RNAII). Due to such mechanism, two plasmids with the same origin cannot be stably maintained in cells—a process known as incompatibility. While mutations in RNAI and RNAII can make colE1 more compatible, there has been no systematic effort to engineer new compatible colE1 origins, which could bypass technical design constraints for multi-plasmid applications. Here, we show that by diversifying loop regions in RNAI (and RNAII), it is possible to select new viable colE1 origins compatible with the wild-type one. We demonstrate that sequence divergence is not sufficient to enable compatibility and pairwise interactions are not an accurate guide for higher order interactions. We identify potential principles to engineer plasmid copy number independently from other regulatory strategies and we propose plasmid compatibility as a tractable model to study biological orthogonality.


INTRODUCTION
Extrachromosomal genetic elements that replicate independently from the host's own genetic information are common in nature. They have been reported in all of life's kingdoms and encompass a diverse range of elements exploiting different topologies (linear or circular molecules), lengths (from kilo-to megabase-long molecules), copy number (from 1 to hundreds per cell), and strategies for maintenance and replication within the host. Bacterial circular extrachromosomal double-stranded DNA genetic elements, better known as plasmids, have been instrumental for the development of molecular biology and remain one of its most common (and useful) tools. Within Synthetic Biology, significant standardization efforts have been made to streamline plasmids by sequence optimization (e.g. removal of non-functional sequences (1) and removal of unwanted endonuclease restriction sites (2)) and modularization--through academic (and commercial) initiatives such as the pSB1 plasmids used in iGEM, the Standard European Vector Architecture (SEVA) (3,4), or even combinations thereof (5).
Simple applications, such as the heterologous expression of a single protein or the development of simple genetic circuits (6), can be readily carried out from a single plasmid without significant impact on plasmid purification, engineering and transformation. However, more complex applications such as the expression of large protein complexes (7,8), optimization of synthetic pathways (9,10) or directed evolution (11,12) can benefit from the flexibility of having multiple plasmids within a single cell.
While it is possible in some cases to maintain multiple plasmids within a cell through continued selection, plasmids that share a common replication machinery tend to compete during replication, resulting (over the course of multiple generations) in a single plasmid being retained--the process commonly known as plasmid incompatibility (13,14). Although as many as 27 incompatibility groups have been identified in the Enterobactericeae family (15), the number of replication mechanisms is significantly lower, demonstrating that replication orthogonality can be achieved, by means of sufficiently different replication machinery, even in situations where the replication strategy is shared. This phenomenon is well established in molecular biology where some of the most commonly used plasmids have colE1-type origins but sit in different incompatibility groups: ColE1 (e.g. pUC, pET, pBR322, pMB1), p15A (e.g. pBAD, pACYC), CloDF13 (e.g. pCDF) and RSF1030 (e.g. pRSF) (16)--see Figure 1B.
Replication of colE1-type plasmids rely on the interplay between two RNA transcripts, from a sense-antisense overlapping gene pair (RNAI and RNAII), and the plasmid DNA (17,18). The efficiency of those interactions has a direct impact on plasmid copy number per cell (19) and it is further modulated by plasmid-encoded dsRNA binding proteins such as Rom/Rop (20). Although RNAI and RNAII are complementary (and therefore their interaction is thermodynamically favourable), both molecules are highly structured (hence their interaction is not kinetically favourable) (21). Loop-loop interactions between RNAI and RNAII initiate and facilitate the formation of their dsRNA complexes, which as a result cannot initiate plasmid replication (19).
The well-characterised interactions between RNAI and RNAII are further supported by multiple investigations on the impact of mutations, insertions and deletions on the viability of the colE1 origin and on their potential effect on plasmid compatibility (18,(22)(23)(24). Together with the simplicity of readouts (presence or absence of a plasmid in a cell), colE1 origins of replications have the potential to be powerful model systems for studying biological orthogonality--how to engineer it, how to characterise it, and how to define it.
Orthogonality is a common metaphor in Synthetic Biology (25), representing a biological circuit or process that can operate independently and without interference from the host or host-equivalent components--e.g. orthogonal tRNA synthetases (26,27). In addition to its potential role in the biocontainment of engineered organisms (28), orthogonal systems can be easier to engineer (increased modularity) and control (fewer interactions with the natural cellular components). Directed evolution has been successfully applied for the isolation of orthogonal tRNA synthetases (29), and bacterial two-component signalling systems (30) among other examples.
Here, we report the directed evolution and characterisation of multiple new colE1-type plasmid origins (compatible with the standard ColE1) based on diversification of the RNAI loops ( Figure 1A) involved in the initial RNAI/RNAII interactions. We show that plasmid compatibility is a useful testbed for studying biological orthogonality, demonstrating that it is a continuum and that distance between states can be measured. We also identify possible routes towards the precise engineering of plasmid copy numbers.
Kanamycin (50 g/ml), Chloramphenicol (34 g/ml) or Ampicillin (50 g/ml) were used as selection markers. Antibiotic free-media were kept at room temperature, antibiotic stocks at -20 • C and antibiotic-containing media at 4 • C.

Plasmids and libraries construction
The plasmids described in this work (sequences in the Supplementary Information) were assembled via Type IIS (31) (using BsaI or BsmBI) or Gibson (32) assembly, from PCRamplified or commercially synthesised (IDT, Leuven, BE) double-stranded DNA fragments, and available vectors: pET-29a (Novagen, USA), pSB1C3 (iGEM Foundation), and pBAD expressing fluorescent protein variants (Addgene, UK). Primers used in the assembly of the vectors are listed in Supplementary Table S1. RNAI libraries were commercially synthesised as singlestranded oligonucleotides (IDT, Leuven, Belgium) and PCR amplified to introduce BsaI sites used in the subsequent Type IIS cloning into a PCR-amplified pET29a backbone. Primers and PCR conditions are given in the Supplementary Information.
Approximately 1 g DNA (for each library) was used to transform freshly prepared electrocompetent DH10␤ cells, as previously described for the synthesis of DNA polymerase libraries (33). Transformed cells were plated on large (20 cm 2 ) agar plates supplemented with suitable antibiotics. Plates were incubated overnight at 37 • C and library size estimated from the plate coverage.

Serial cultures for microbiological compatibility assay and selection
Single plasmid or co-transformed cells were grown overnight in 5 ml of LB (in a 50 ml centrifuge tube) with the appropriate antibiotic selection (none, kanamycin 50 g/ml, chloramphenicol 34 g/ml, or both).  (v/v) inocula. Serial culturing was carried out between four and seven days, as described in the text. For quantification, cultures were diluted in phosphate-buffered saline (Sigma-Aldrich, UK) and plated overnight in LB-agar containing no antibiotics (for total cell quantification), kanamycin (for isolating total cells containing the reporter plasmid) or both (for measuring cells that did not lose any plasmid). Resulting plates were photographed or scanned in a GE Healthcare Typhoon FLA9500 biomolecular imager, using FITC settings (Laser: 488 nm; filter BLP) to identify GFP-expressing colonies (where relevant), and Alexa Fluor 647 (Laser: 635 nm; filter LPR) to visualize all E. coli colonies.
Small-scale cultures, used in the high-throughput compatibility assays, were grown for 24 h before cell density and fluorescence were measured on a CLARIOstar spectrophotometer (BMG Labtech, Germany), with the 525/25 filter for GFP expression quantification. Gain settings for fluorescence measurements were automatically selected by the software based on the available samples, to maximise discrimination without saturating detection. Some selected samples of small-scale cultures, together with positive and negative controls, were also analysed in flow cytometry experiments.
Selection for compatible plasmid origins was carried out in large-scale cultures (from which alpha origin was isolated) and small-scale high-throughput screening assay (from which the characterised origins were isolated). Selection was carried out as per serial passaging experiments isolating compatible origins from bacterial colonies grown in both kanamycin and chloramphenicol after a period of growth under kanamycin only selection.

Intercompatibility assay
The co-transformed cells were grown overnight in 5 ml of LB with kanamycin (50 g/ml), chloramphenicol (34 g/ml) and ampicillin (50 g/ml) for 16 h. Small-scale fresh cultures were inoculated from the overnight ones [1:100 (v/v)] and grown overnight in aerated conditions (200 RPM) at 37 • C in 96-well plates. Serial passaging was carried out as described above, with media supplemented with chloramphenicol, three times before being analysed by flow cytometry. Expression of fluorescent proteins was induced in the final overnight growth cycle by the addition of Larabinose [0.5% (w/v)].

DNA extraction and copy number calculation using dPCR
Both genomic and plasmid DNA were extracted from E. coli cells, using a detergent-based method previously described (34). The isolated DNA was restriction digested with XbaI (NEB), following manufacturer's recommendations on reaction conditions, to improve the efficiency of digital PCR amplification (35). The digital PCRs (dPCRs) were carried out using a ThermoFisher QuantStudio 3D platform.
TaqMan assays (36) were used to detect both genome and regulatory plasmid DNA. The probe for genome detection was designed against the Ter region of the E. coli genome. Being the last part of the bacterial chromosome to replicate, the Ter region minimises the overestimate of E. coli genomes due to replicating genomic DNA. The probe for plasmid detection was designed against the chloramphenicol acetyltransferase gene. The sequences of the primers and the probes are listed in Supplementary Table S1.
Nucleic Acids Research, 2022, Vol. 50, No. 16 9571 Reaction mixes were prepared in 15 l, containing QuantStudio™ 3D Digital PCR Master Mix v2 (1×), PCR primers (500 nM), FAM probe (500 nM) for plasmid detection, HEX probe (620 nM) for genome detection, and template 0.2 pg/l. Once assembled, 14.5 l of the dPCR mix were used per chip. Negative controls without plasmids (i.e. genome only) or with purified plasmids (i.e. no genome) were also carried out. Reaction conditions consisted of an initial denaturation at 96 • C for 10 min, followed by 39 cycles of 60 • C for 2 min, and 98 • C for 30 s. A final 60 • C extension for 2 min was carried out as a polishing step.
The data analysis was done using the QuantStudio ® 3D AnalysisSuite™ online platform. Using the rare mutation analysis for the signals amplified from the genomic DNA, the software provides the values for the target/total signals with a 95% confidence interval. These values allowed us to calculate the copy number of the plasmids per every genomic sequence.

Flow cytometry
Experiments were designed to detect bacterial expression of fluorescent proteins in the cross-compatibility (GFP only) and intercompatibility (GFP, mApple and mTagBFP2) assays, using cells transformed with single (or two) plasmids as controls to establish gates and check compensation parameters. Experiments were carried out in a CytoFLEX (Beckman Coulter, USA) benchtop flow cytometer. Superfolder GFP (sfGFP) was measured using FITC settings (laser: 488 nm, filter 525/40 BP). The mApple protein could be detected using the PE settings (laser: 488 nm, filter 585/42 BP). mTagBFP2 was measured using PB450 settings (laser : 405 nm, filter 450/45 BP).
Small culture aliquots (5 l) were diluted in 1000 l of Mili-Q H 2 O, and those samples were used for sampling. Forward and side scattering (FSC and SSC) were used to identify single bacterial cells (from noise, cell debris and aggregates) and gated accordingly for acquisition. All subsequent analyses were carried out in the gated cells using CytExpert (Beckman Coulter) or FCS Express (De Novo Software, USA). Single-cell gating was repeated postacquisition and samples analysed, using in all circumstances at least 1300 events--see Supplementary Table S2 for details.

NGS data analysis
Transformed libraries (Library #1 for method development and combined libraries for subsequent experiments), were harvested from the transformation plates and grown in liquid LB medium (50 mL culture under aerated conditions) supplemented with kanamycin at 37 • C for 2 h or until turbid. Cells were isolated by centrifugation (4000 × g at 4 • C for 15 min) and plasmid DNA isolated using a Gene-Jet mini-prep kit (ThermoFisher, UK) following manufacturer's recommendations. Isolated plasmid DNA was quantified by UV absorbance and used as template for the amplification of the fragment to be sequenced (primers given in Supplementary Information). Sample preparation was carried out according to the recommendations of Genewiz, who also carried out the Illumina sequencing.
Compatible libraries, obtained after selection in largescale cultures and plated under both kanamycin and chloramphenicol selection, were treated as above, which also explains the high frequency of observation of the wild-type colE1 origin in the analysis (SI Figure 3).
NGS data analysis was carried out in the Galaxy server at usegalaxy.org (37). The analysis workflow (provided as supplementary information) begins with filtering sequences for quality using the 'FASTQ Quality Trimmer' (10 window, mean score > 20). Sequences are converted from FASTQ to FASTA (fastq.info) and filtered with sequences expected to flank the library diversity (Filter FASTA). In our analysis, 'CGTAATCTGCTGCTTGCAAA', 'GGTTTGTTTG CCGGA', 'TTTCCGAAGGTAACT' and 'AGCGCAG' were used to reduce the data to sequences likely to be from bonafide origins. As a last step, the dataset is de-duplicated and repeated origins counted (Unique.seqs).

Bioinformatic tools for RNA structure prediction
Secondary structure prediction of wild-type and isolated RNAI was obtained using the Vienna RNA RNAfold online server (38,39), and visualised using forna (40).

RESULTS
Engineering orthogonal biological components poses always a 2-fold problem: specificity needs to be built upon activity, i.e. orthogonal origins of replication need to be functional (capable of supporting stable plasmid replication and maintenance). Therefore, we first focused on generating novel RNAI molecules that could support plasmid replication.

Library design and selection of viable ColE1 variants
Directed evolution is a powerful approach for engineering biological components but considerations over sampling and density of the sequence landscape need to be taken into account (41). Although RNAI is the shorter RNA regulator, its length still exceeds 100 bases, thus thorough sampling of its available sequence space (1.6 × 10 60 variants) is not possible. RNAII structure is known to be an integral part of the RNAI mechanism (42), therefore we reasoned that targeting sequence variation to the hairpins' stems would likely disrupt their structure, creating a sparsely populated sequence space--even if alternative stems could lead to greater orthogonality.
Restricting variation to the loops (and their immediate vicinity) limits the maximum size of the search space (4.3 × 10 9 variants) and would be expected to minimise disruption of the ternary structure of the hairpins. DNA oligonucleotides containing the required degeneracy ( Figure 1C) were used to generate origin libraries by PCR and subsequent Type IIS cloning. Transformation of the assembled libraries served therefore as a selection mechanism to isolate viable plasmids. Individual transformed libraries yielded from 10 3 to >10 5 colonies (10 5 being the limit of accurate cell counting). Transformation efficiencies were lower than expected and may be an indication of a sparsely populated functional space.
Viable plasmids, isolated from the transformation of Library #1 (containing approximately 10 4 transformants), were recovered and sampled by NGS (Supplementary Figure S1A and Table S3). Sequencing confirmed that alternative loops are possible and that all loops can tolerate diversification. Notably, whether artefacts of NGS sample preparation, or active in vivo selection during recovery, deletions and insertions were also observed both within and outside of the expected diversity--with a potential hotspot near the 3 -end of stem IIIb (Supplementary Figure S1A). The 20 most frequent origins detected by NGS accounted for nearly 40% of the sample (Supplementary Figure S1A), giving an indication of how diverse the transformed library was. That diversity estimate is however skewed by the potential variation in the plasmid copy number of the viable origins and biases introduced during NGS sample preparation.

Selecting colE1 compatible origins by serial passaging
Given that single point mutations in RNAI have been shown to be sufficient to affect plasmid incompatibility (18,23), we co-transformed viable Library #1 plasmids into cells harbouring pSB1C3 (containing a wild-type colE1 origin) to investigate how compatible origins could be isolated.
Repeated passaging of a bacterial culture in the absence of antibiotic selection is the traditional microbiological route towards quantifying plasmid stability and compatibility. As a selection tool, the simple readout (bacterial growth) and the experimental flexibility (media composition) make serial passaging a powerful strategy--capable of modifying even core biological processes such as the genetic code (43).
Our initial results confirmed that it could be used in plasmid compatibility selection, with 1% of the population still harbouring two plasmids after six continuous days of growth (data not shown). To increase selection pressure (towards loss of the variants) and minimise potential sources of external contamination, we repeated the serial passaging selection in the presence of chloramphenicol (thus forcing maintenance of the wild-type colE1 origin in pSB1C3). After two passages (approx. 80 generations), most of the cells still harboured two plasmids (Supplementary Figure S2).
Some of the colonies isolated from the selection for compatibility were sequenced, with one also being identified as the most frequent compatible variant by NGS (Supplementary Figure S3 and Table S4). The variant, termed alpha (Supplementary Figure S1B), was regrown under compatibility selection conditions and compared to a wild-type colE1 origin. As expected, differences in compatibility were already observable after a single day growth and the alpha origin quantitatively remained in the population throughout the 4-day experiment (Figure 2).
Although powerful as a selection strategy, serial passaging has a limited number of available assays that are applicable to report on the progress of selection (e.g. plasmid extraction to monitor co-dependent plasmids (44)) and they remain low-throughput and labour-intensive screening tools. We therefore chose to explore possible biological circuits that could be used as reporters in selection and as highthroughput screening to assess plasmid compatibility.

High-throughput plasmid compatibility assays and selection
Fluorescent or chromogenic proteins are convenient and widely used reporters in bacteria, but their long half-lives and potential toxicity (45,46) can limit their usefulness in dynamic processes and also lead to an increased metabolic burden on the cells--in this case potentially exacerbating the stress cells may already be under from harbouring multiple colE1 high copy number plasmids. In addition, metabolic burden and protein expression are both known factors in colE1 plasmid copy number variability (47,48). Therefore, we opted for the biological circuit shown in Figure 3A, in which a TetR-based negative feedback loop minimises any potential metabolic burden from reporter expression.
By maintaining selection pressure on the reporter plasmid (i.e. the GFP coding plasmid), only the regulatory plasmid can be lost and GFP expression becomes a robust and easily quantifiable reporter for regulatory plasmid loss: accessible to both population-(spectrophotometer) and cellbased (flow cytometer) assays, and readily scalable for small volume cultures.
Small scale cultures in 96-well plates were used to validate the assay and to assess whether it could also be used as a selection tool. Overnight growth in the 96-well format (while maintaining selection for the wild-type colE1) was sufficient to identify incompatible origins ( Figure 3B) and the platform remained compatible with serial passaging, allowing longer selections (data not shown).
We therefore proceeded with the generation of all libraries for selection of plasmid viability (data not shown) and used the recovered plasmid DNA to start selection for compatible origins, introducing the library on the regulatory plasmid. Rather than harvesting all colonies for selection by serial passaging, we opted for screening a small panel directly through the high-throughput assay, as shown in Figure 3C and Supplementary Figure S4, isolating putative compatible plasmids after a single overnight growth.
Using GFP levels normalised by the density of the bacterial culture, eight isolates among the lowest GFP expression levels were selected for further analysis. Cells harbouring both wild-type and mutant origin plasmids were recovered (through dual antibiotic selection), variant origins were isolated (through transformation) and sequenced. In the case of D4, two variants were identified within the population and, once separated, were named D4.I and D4.II. Five of the nine variants (D4.I, D4.II, F4, G4 and G6) were selected for detailed characterisation based on their lower sequence homology to the wild-type origin.
Plasmid compatibility of the novel origins was confirmed by serial passaging and selective plating, using selected variants in the reporter plasmid while maintaining the regulatory plasmid with its wild-type origin. Even after 7 days of co-culture, significant fraction of the population retained both plasmids, as shown in Supplementary Figure S5A and Supplementary Figure S5C.
Notably, serial passaging in the absence of antibiotic selection tests both plasmid stability and plasmid compatibility. Biases in recovery from single antibiotic selections can be used to determine if compatibility is bidirectional. In our assays, because of the constant presence of selection for the reporter plasmid harbouring GFP, the assay tests compatibility in a single direction and its results do not address how stable the plasmids remain. Evidence of compatibility from the novel variants in the regulatory plasmids (in selection) and in the reporter plasmids (in the subsequent serial passaging) suggest that the new variants are compatible with wild-type and that this compatibility is bidirectional (in the experimental conditions used).
Although the isolated variants were selected for compatibility only against the wild-type origin, they showed significant loop variation between each other. Hence, we investigated their cross-compatibility to test if sequence divergence alone could be used as guide to assess origin compatibility.

Cross-and inter-compatibility of novel colE1 origins
To explore all possible combinations, we generated a panel of strains harbouring all possible plasmid origin combinations between reporter and regulatory plasmids. Except for the double wild-type combination, which we repeatedly failed to successfully obtain (without the emergence of mutations within the experimental time frame), all other 35 variants were isolated.
Although successfully used to identify compatible plasmids, the high-throughput compatibility assay clearly provided high fluorescence background and significant experimental variation (Supplementary Figure S6A and Supplementary Figure S6B). Testing a small range of alternative growth media confirmed that M9 minimal medium provided the lowest fluorescence background while also maximising the discrimination between compatible and incompatible plasmids ( Figure 4A and Supplementary Figure  S6A). Given the consistency of the assay across the different media, the assay also suggests that the isolated compatible origins remain so across a wide range of growth conditions. Flow cytometry analysis of the cultures also confirmed that the measured GFP signal was the result of high-level expression in individual cells rather than leaky GFP expression across the population ( Figure 4B and Supplementary Figure S6D).
As expected, all isolated origins remained compatible with the wild-type colE1 over multiple passages irrespective of whether they had been placed in the regulatory or reporter plasmid ( Figure 4A)--the latter maintained through antibiotic selection. The new origins also displayed the expected self-incompatibility, unrelated to copy number but presumably correlated to the dynamics of the loop interactions in vivo. We hypothesise that loop interactions that are not further stabilized by the hairpin rigid conformation (i.e. are not true kissing loops) lead to longer persistence of incompatible plasmids in a cell.
Cross-compatibility between the evolved origins was observed but it was not universal, with a clear dependence on which plasmid remained under selection in the assay (Figure 4A and Supplementary Figure S6C). That cannot be explained by plasmid instability since that should have resulted in the systematic loss of a given origin when placed in the regulatory plasmid (not under selection).
On the other hand, given that plasmid segregation of colE1 origins is expected to be stochastic, such 'directional' compatibility can be the result of differences in plasmid copy number ( Figure 6B). We therefore determined the copy number of each of the characterised origins ( Figure  4C and Supplementary Figure S7). There is a correlation between individual plasmid copy number and plasmid loss in the circuit, with reporter activation only seen when the regulatory plasmid was at a lower copy number than the reporter. However, that correlation is not perfect (e.g. F4 which remains compatible with all origins despite showing the second lowest origin copy number). The 2-plasmid circuit used for the selection and screening of plasmid origin compatibility. GFP expression in the reporter plasmid (harbouring a colE1 origin--black) is inhibited by TetR being expressed from the regulatory plasmid (harbouring the tested origin--red). A negative feedback circuit (TetR expression under regulation from its own promoter) was introduced to minimise metabolic burden. Loss of regulatory plasmid deregulates the P tetA promoter leading to rapid GFP expression. (B) The circuit was validated by analysing E. coli fluorescence in culture using cells transformed with one or two plasmids after overnight growth in liquid culture supplemented with chloramphenicol (Cm), kanamycin (Kan) or no antibiotics. The compatible p15A origin from pBAD30 was used as control for a compatible origin. (C) Heatmap of overnight selection for compatible origins. Ninety-six colonies harbouring both reporter (colE1 origin) and regulatory (origin from functional selection) plasmids were grown in the presence of kanamycin. Lowest fluorescence cultures were selected for further analysis.
The pairwise cross-compatibility of origins also suggested plasmid combinations that should result in intercompatible origins, e.g. wild-type, D4.II and G4. We tested three origin combinations using a 3-plasmid system--each expressing a different fluorescent protein (mApple, sfGFP and BFP) under an inducible promoter ( Figure 5A). Despite optimization, expression levels of blue fluorescent protein were low and discrimination between bacterial populations (expressing or not BFP) not always easy. As a result, where possible, we tracked plasmids encoding for BFP by fluorescence (experiments carried out in the absence of antibiotics). When that was not possible, we used the resistance marker (experiments carried out in the presence of chloramphenicol).
Based on the cross-compatibility assays shown in Figure 4A, we selected two combinations we expected to be compatible (colE1/G4/D4.II and colE1/G6/D4.II) and one that should remain compatible under partial selection (colE1/D4.I/D4.II) for characterising their intercompatibility. While plasmid loss was, to some degree, expected in all combinations after four days of serial cultures in M9 medium, the extent of the plasmid loss differed greatly between the combinations. D4.I showed the smallest plasmid loss (7% in the absence of any antibiotics-- Figure 5B and C) and G4 origin the highest (40% even when all antibiotics were present)--see Supplementary Figure S8 and Supplementary Figure S9. In most circumstances, plasmids with lower copy number per cell were lost, as it would be expected from a plasmid stochastic segregation process. One notable exception was seen between D4.I and wild-type (when chloramphenicol selection was maintained--Supplementary Figure S9A)--where wild-type is preferentially lost despite a higher copy number--a result of more complex interactions in the regulation of the copy number of the wildtype colE1 plasmid, such as interaction with uncharged tR-NAs (49). Still, the experiments confirm that pairwise cross- complementarity is not an accurate measure for higher order inter-complementarity between different origins of replication.

DISCUSSION
Despite good understanding of the colE1 mechanism of replication, there have been rare attempts at identifying and engineering colE1 plasmid compatibility, with preference frequently given to the identification of naturally occurring origins that can be tested for compatibility against colE1. Such naturally occurring origins benefit from their evolutionary-scale selection in the environment and tend to be highly stable, even in the absence of external selection, through symbiotic domestication that minimizes the metabolic cost of plasmid maintenance (50,51). Nonetheless, it is possible to evolve compatible origins.
Our results corroborate previous findings that the RNAI/RNAII loops are an important region to enable plasmid compatibility and we show that differences in loop sequence are not sufficient to predict compatibility. Plasmid maintenance assays in the absence of or under partial selection (as we show here) are an efficient route towards isolating colE1-compatible origins that remain stable in different metabolic conditions and across a wide-range of copy number. Notably, we have targeted our diversity only the RNAI/RNAII loops, therefore while we demonstrate that their engineering can yield plasmid compatibility, there are no data to compare the role of the loops with that of the stems, or RNAII-specific sequences in that process. Our NGS data confirm that sequence variation is possible in the loops but they do not fully map the functional space of those loops: that remains to be determined.
Analysis of the predicted RNAI origins suggests a potentially novel route towards regulation of plasmid copy number, in which RNAI loop length show an inverse correlation with the estimated plasmid copy numbers per cell ( Figure 4C). This strategy, if further validated, is independent of other colE1 plasmid-based mechanisms (e.g. cer and rop), since those were not present in the plasmids used here.  Figure S7). We therefore explore how plasmid compatibility can be described from an imaginary system containing two origins: oriA (shown in red) and oriB (shown in blue). Plasmid copy numbers are given for each origin. (B) Once both plasmids are in the same cell, there is the possibility of interaction between the plasmids (shown in green), but these may range in strength and need not be reciprocal. Plasmid copy numbers are given to exemplify the result of the interactions. More extreme interference would be expected to lead to plasmid loss, and therefore incompatibility. (C) Lotka-Volterra system proposed for describing the interaction between two plasmid populations. The system describes how plasmid copy number varies through time as a function of the individual origin and as a function of the interaction between plasmids. Although time is an important parameter in the model, we focus on the long-term stability (if any) of the populations as they represent the outcome of the interaction as seen in experimental setups. Parameters a 2 and b 2 are the reciprocal of the expected plasmid copy number for each strain, while a 3 and b 3 are expected to be zero (maximum compatibility) or negative.
Moreover, we show that pairwise compatibility assays and plasmid copy numbers (when determined in isolation) are not sufficient to predict higher order plasmid compatibility (for origins that have not been co-selected for compatibility). Our current hypothesis is that plasmids in the cell behave as a non-linear Lotka-Volterra system ( Figure  6B and Appendix 1) with plasmid copy number modelled as the linear carrying capacity of each population and the interaction between the origins modelled as the non-linear parameters. RNAI interactions with a non-cognate RNAII (e.g. RNAI WT /RNAII G4 ), which can also be affected by downstream sequences in RNAII, have no fundamental requirement to be symmetric (i.e. of equal entropic and enthalpic cost as RNAI G4 /RNAII WT ). Therefore compatibility (or orthogonality) can be quantified and need not be reciprocal. Using our experimental data, it is possible to identify regions of the available parameter space in such a model that can explain both pairwise and higher-order compatibility patterns observed (Appendix 1).
Plasmid compatibility has many parallels to biological orthogonality discussed in synthetic biology (25,26), where two biological systems need to co-exist in vivo without significant interaction. We propose, in fact, that it can be used as a model to improve the concept of orthogonality, since plasmid orthogonality is nuanced: operating on a scale rather than in absolutes, affected by experimental conditions and having to operate within the more complex cellular milieu.
Although the current focus of biomanufacturing still lies on improving plasmid stability, programmable plasmid compatibility can potentially lead to novel applications or to new strategies of biological containment. Our work is a first step towards bespoke plasmid origins and programmable plasmid orthogonality.

DATA AVAILABILITY
All raw and processed data used in this manuscript are available in our GitHub repository (https://github.com/ PinheiroLab/Engineered colE1 origins). Sequences for the newly described colE1 origins have been deposited on GenBank under the following accession numbers: OL702929, OL702930, OL702931, OL702932, OL702933 and OL702934. Next generation sequencing data has been deposited on NCBI SRA under the following accession number: PRJNA783752.