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# Structure and Properties of DNA Molecules Over The Full Range of Biologically Relevant Supercoiling States

Scientific Reportsvolume 8, Article number: 6163 (2018) | Download Citation

## Abstract

Topology affects physical and biological properties of DNA and impacts fundamental cellular processes, such as gene expression, genome replication, chromosome structure and segregation. In all organisms DNA topology is carefully modulated and the supercoiling degree of defined genome regions may change according to physiological and environmental conditions. Elucidation of structural properties of DNA molecules with different topology may thus help to better understand genome functions. Whereas a number of structural studies have been published on highly negatively supercoiled DNA molecules, only preliminary observations of highly positively supercoiled are available, and a description of DNA structural properties over the full range of supercoiling degree is lacking. Atomic Force Microscopy (AFM) is a powerful tool to study DNA structure at single molecule level. We here report a comprehensive analysis by AFM of DNA plasmid molecules with defined supercoiling degree, covering the full spectrum of biologically relevant topologies, under different observation conditions. Our data, supported by statistical and biochemical analyses, revealed striking differences in the behavior of positive and negative plasmid molecules.

## Introduction

DNA topology is an intrinsic property of DNA molecules, and is controlled by the direct action of DNA topoisomerases1,2,3,4,5,6,7,8. These are enzymes essential for proliferation and survival of all cells and are indeed important targets for chemotherapeutic drugs. In vitro, DNA topoisomerases are able to induce significant changes of linking number (ΔLk; see the Methods Section for definition of the topological parameters) of covalently closed DNA molecules, by either removing or introducing supercoils. Each enzyme has its own specificity, and can modify the ΔLk stepwise, leading to production of a range of differently supercoiled molecules.

In vivo, genomic DNA is organized in topologically closed domains, whose supercoiling degree is strictly regulated, given the great impact of topology on all DNA activities9,10. In organisms living in the range of mesophilic temperatures, DNA is in general negatively supercoiled (−SC); thermophilic microorganisms, living in environmental niches above 70 °C, possess a special DNA topoisomerase called reverse gyrase (RG), which is able to catalyze positive supercoiling11,12,13. Recent results show that RG is essential for growth at 95 °C of a hyperthermophilic species, suggesting that the presence of the enzyme is necessary to maintain the correct DNA supercoiling in organisms living at high temperatures14.

Positively supercoiled (+SC) DNA accumulates in every organism during DNA transactions, such as replication and transcription15; moreover, +SC DNA prevents extensive reversal of replication forks in the presence of replication blocking lesions16, promotes telomere resolutions17 and marks centromeres as unique chromosome loci18. In addition, condensin and cohesin complexes, which play essential role in chromosome architecture and segregation during mitosis and meiosis, induce positive supercoiling19,20. Although current techniques do not allow determination of supercoiling degree in vivo in real time, it is likely that the full range of topological degree may occur during the cell life and DNA supercoiling may vary significantly over the cell cycle, in distinct genome locations as well as in response to environmental stimuli. Thus, understanding how DNA is organized over the full range of supercoiling degree may provide crucial insights into the principles that underlie genomic organization and regulation in living organisms.

So far, the structure of −SC plasmids has been investigated by several techniques21,22. Electron (SEM, TEM) and scanning probe microscopy (SPM) are the de-facto techniques to visualize DNA at single molecule level and to unveil structural details. All these techniques suffer from possible artifacts during sample preparation, which might influence the measurements outcome23,24,25,26. Atomic force microscopy (AFM) may in part overcome these limitations, as it allows to control several parameters during plasmids deposition (e.g. buffer ionic strength, temperature, etc.) and to simulate in-vivo conditions by performing measurements in liquids. Although many structural studies have been reported on −SC plasmids, little information is available for +SC plasmids. Only recently two papers reported the first observations at single molecule level of +SC DNA molecules, giving important impulse to the field27,28. However, further analyses are required to extend these results and fill important gaps. Indeed, Irobalieva et al. used cryo-tomography to analyze DNA minicircles of a few hundred base pairs with defined degrees of supercoiling. Although these molecules are useful models, they can only accommodate a few supercoils, due to their short size. More recently, Li et al. analyzed by AFM +SC plasmids and measured different lengths between positive and negative topoisomers, whose ΔLk was however undefined. These measurements rely on few molecules only and their conclusions might be of limited relevance because of the reduced ensemble investigated28.

In the present work, we present a systematic AFM analysis of DNA plasmids with ΔLk covering a wide range of supercoiling (ranging from −12 to +12). Observations were performed under a number of different conditions, and data are supported by quantitative and biochemical analysis, highlighting significant differences in the behavior of −SC and +SC molecules. The relevance of these results on the biological properties of DNA is discussed.

## Results and Discussion

### Effect of immobilization conditions on structural conformation of plasmid molecules with different supercoiling degree observed by AFM

RG is a powerful tool to obtain plasmid molecules with different degree of supercoiling: indeed, by changing reaction parameters (temperature, time, DNA/enzyme ratio and so on) it is possible to modulate the enzyme activity and obtain distinct populations of topological isomers with defined ΔLk (called topoisomers; see Fig. 1A for a scheme of the reaction)29,30. Reactions were set up using the 3.000 bp pBlueScript plasmid (pBs), purified from Escherichia coli cultures in its negatively supercoiled form, and the RG from the archaeon Sulfolobus solfataricus10,11,12,29. In a time course experiment, aliquots of products were withdrawn after different incubation times and analysed by two-dimensional gel electrophoresis, enabling separation of −SC and +SC topoisomers (Fig. 1A). Figure 1B shows supercoiling modification of the pBs plasmid with time, from −SC (time 0) to +SC (300 sec.). The topological state of each topoisomer population was expressed calculating the mean specific linking number (mean σ) obtained from the σ values of the most abundant topoisomers produced in each reaction (see Methods). The mean σ of each topoisomer population was plotted as a function of time, showing the increase of plasmid supercoiling density during reverse gyrase reaction (Fig. 1C).

Among the time course products, four plasmid populations with defined mean σ (−0.04; +0.01; +0.03; ≥ +0.04) were selected, purified and analysed by AFM in air. Since the only images available so far for positive plasmids were obtained on silanized mica28, it is not known whether these molecules are affected by the deposition procedure, prompting us to explore different deposition methods. In order to increase the mica affinity for negatively charged molecules such as DNA, different strategies can be followed. Cation-assisted deposition is widely used due to the simplicity of sample preparation; it has been suggested that nucleic acids deposition on mica in the presence of divalent cations results in relatively weak binding and allows for the equilibration of molecules during deposition. A further drawback of this technique is that the cation requirement limits the range of experimental conditions that can be used. Alternatively, treatment of mica with aminosilanes is also an effective procedure for nucleic acids binding; silanized mica enables a stronger binding of nucleic acids and tends to trap DNA molecules in a configuration that corresponds to the 2D projection of their solution conformation31,32; however, hydrolysis of aminosilanes and aggregation is a complication associated with this technique.

We tested both procedures and explored a wide range of experimental conditions to find deposition protocols yielding reproducible binding of plasmids while preserving the specific features of molecules with different supercoiling degree. We selected appropriate conditions for deposition on mica either in the presence of MgCl2 or after treatment with 3-Amino propyl-trimethoxysilane (APTMS).

When deposited on APTMS-treated mica in the presence of 100 mM NaCl, highly −SC plasmids (σ = −0.04) assumed a plectonemic form with several crossings seen in each molecule and, occasionally, irregularly balled-up or aggregated forms (Fig. 2A). These shapes were already reported for other plasmids having a similar supercoiling degree33. In contrast, the populations of topoisomers with an intermediate degree of supercoiling (+0.01 < mean σ < +0.03) lost the plectonemic form and showed a reduced number of crossings. Finally, when σ reached the value of +0.04, the molecules adopted again a highly plectonemic conformation (Fig. 2A).

Strikingly different results were obtained when the same samples were deposited in the presence of MgCl2. Highly −SC plasmids adopted a loose geometry, looking like open circular molecules or showing very few crossovers (Fig. 2B), similar to those reported by Lyubchencko and colleagues34. A clear transition from relaxed to plectonemic structures was observed at σ value of +0.04, as seen for the same molecules deposited on APTMS-treated mica. Thus, under these conditions the plectonemic aspect seems a peculiar feature of +SC molecules with a mean σ ≥ +0.04.

Extensive comparison of the shapes of highly +SC molecules on the two surfaces showed that they appear highly homogeneous (Fig. 3), thus suggesting that the shape of these molecules is not heavily affected by the depositions conditions. Moreover, these images show that the end-point product of RG is a homogeneous population comprised of a single, or a few, topoisomer(s) with very close ΔLk.

To better understand the reasons of this striking difference, we acquired AFM images of linearized DNA plasmids on APTMS-treated-mica and on bare mica in the presence of MgCl2 (data not shown) and measured their contour length. The measured contour length of our DNA molecules on APTMS-treated-mica was 985 ± 40 nm, in very good agreement with the estimated length of this 3000 bp long DNA molecule in B form, which is 980.8 nm. In contrast, the experimental value obtained when DNA was deposited in the presence of Mg cations was of 893 ± 60 nm, with a decrease of about 9%. In a recently published paper, Lipiec et al.32 suggested that the local structure of DNA molecules deposited on aminosilane-treated mica resembles that of the B crystal form; in contrast, when molecules were deposited using the divalent cation adhesion method, a partial transition toward the A form occurs. If we take into account the structural parameters of the two DNA forms (A form: twist 32.7 degrees, rise 0.26 nm per base. B form: twist 34.3 degrees, rise 0.34 nm per base)35 it is possible to estimate the amount of B to A transition, by comparing the contour length of linear DNA in the two deposition conditions31. If we indicate with α the fraction of DNA molecules that switch from B to A form, we can compute the contour length by a linear combination of the two basic forms (see Equation 1),

$${L}={{N}}_{{bases}}\cdot {{R}}_{{B}}(1-{\alpha })+{{N}}_{{bases}}\cdot {{R}}_{{A}}\cdot {\alpha }$$
(1)

where N bases is the number of bases per molecule, and R B and RA are the helical rise per base in the B and A forms, respectively. Inverting this equation, we can calculate α from the contour length of DNA deposited on APTMS-treated mica (which is considered to be in the B form), and the length of DNA deposited in presence of MgCl2. From our results we obtain a value α = 0.4, in good agreement with the published value of 0.3932.

As noted above, A and B forms also differ in the helical pitch. In closed circular DNAs, a transition between these two forms affects the balance between twist (Tw) and writhe (Wr) to maintain a constant Lk36,37.

Although the great complexity of this system prevented us from quantitatively describe the different plasmids shapes, our experimental results support the idea that the B to A transition might be one reason for the different topologies they assume when deposited using the two methods. In a relaxed plasmid $$L{k}_{0}=T{w}_{0}$$, where $$T{w}_{0}={N}_{bases}/(bases/turn)\,\,$$is the “natural” twist and it equal to $$T{w}_{0}^{B}=286$$ for pure B-DNA and to $$T{w}_{0}^{h}=281$$ for hybrid form. We compared these values with the $$Lk$$ of the two extreme states of our supercoiled molecules, i.e. pBlueScript plasmids in their negatively supercoiled form (−SC0) and after 300 seconds of RG reaction (+SC300), which were: $$Lk=274$$ and $$Lk=297$$, respectively. We could then estimate how much supercoiling needs to be accommodated by each type of plasmid if deposited on either surface; the results are summarized in Table 1.

The data indicate that deposition of supercoiled plasmids in the presence of Mg ions leads to a transition toward the DNA A form, which is responsible for the a smaller ΔLk as it decreases by 5 absolute units compared to the APTMS case (−7 vs −12). As a consequence, SC- plasmids resulted less negatively supercoiled, whereas SC+ were more positively supercoliled, as observed in Figs 2A,B and 3.

In order to give statistical significance to our data, we sought to perform quantitative analysis of the structural conformations adopted by the four plasmid populations. As pointed out by Irobalieva et al.27, 386 bp long plasmids arrange into a number of different configurations. Because the energy required to supercoil a plasmid is inversely related to its length, longer molecules show even broader range of configurations. Thus, a detailed analysis of the structural conformations may require algorithms currently not available. We developed a numerical routine that traces plasmids from AFM images and extracts a set of geometrical parameters able to discriminate the sign of the supercoiling. While common geometrical descriptors (asphericity, eccentricity, solidity, etc.) were not effective in classifying supercoiling sign (data not shown), we found that the following two parameters quantitatively described the different topoisomer populations:

• density: defined as the ratio between the area occupied by the plasmid and the entire area of the convex hull defining the plasmid;

• Euler number: defined as the number of objects minus the numbers of holes they contain (essentially one object, the plasmid, minus the number of holes contained within it).

We found that higher density and lower Euler number were associated with increased plectonemic character: highly +SC and −SC populations deposited on APTMS-treated mica showed overlapping density and Euler number, consistent with their supercoiled aspect (Fig. 4A); in contrast, both parameters were able to discriminate between the two populations observed in the presence of MgCl2 (Fig. 4B). This fact suggests that −SC and +SC plasmids assume different shapes because of specific interactions with the Mg2+ cations. Plasmid populations with intermediate ΔLk showed intermediate plectonemic character when deposited on APTMS-treated mica (Fig. 4C), whereas all populations except the highly +SC looked essentially relaxed on MgCl2 (Fig. 4D).

Taken together, these results suggest that, whereas the possibly 3D- shape of highly −SC plasmids is dependent on the deposition conditions, the structural configuration of +SC molecules is relatively insensitive to deposition conditions; in particular, highly +SC plasmids maintain their plectonemic arrangement under conditions that determine transition of −SC and intermediate topoisomers to looser geometry.

These results are the first experimental demonstration of the braiding effect induced by freely diffusing divalent cations, and support a potential role of direct DNA–DNA interactions in tuning chromatin compaction38,39. In fact, previous results obtained by molecular dynamics simulation demonstrated that the opposite chirality of superhelices (positive for −SC and negative for +SC) produces different types of inter-segmental interactions along the plectonemes: +SC induces right-handed crossovers characterized by a strong groove-backbone interaction (i.e. the major groove of one helix interlocks with the minor groove of the other), while −SC supercoiling produces a simple juxtaposition of the grooves (i.e. major-major groove overlap)40.

It is known that length is an important factor affecting DNA morphological and physical parameters. For instance, AFM analysis of long (>15 Kbp up to 45 Kbp) −SC molecules showed that these molecules adopt compact, highly ordered interwound filaments, called hyperplectonemes41. Although no data on +SC molecules of comparable size are available, it is likely that length might affect the structure of these molecules as well, and further investigation on this point is warranted.

### AFM Imaging in liquid of −SC and +SC DNA molecules

Our AFM images in air showed that only −SC molecules are heavily affected by the deposition procedure, while +SC shapes are definitely more stable. Since DNA may change its conformation during the steps of sample preparation and deposition, observation of molecules in solution may better reflect their conformation under physiological conditions and help overcome possible structure alterations arising from the rinsing and drying of the sample. Moreover, observation in liquid can be carried out under a number of controlled conditions. No data on +SC DNA in solution are available so far. We thus set up the experimental conditions for direct observation of −SC (σ = −0.04) and +SC (σ ≥0.04) DNA molecules in aqueous solutions in the presence of mild ionic strength (100 mM NaCl). Under these conditions, the shapes of both −SC and +SC molecules looked very similar to those observed on APTMS in air (Fig. 5A and B).

Assuming that both deposition methods permit molecular equilibration, the experimental data show that −SC, but not +SC plasmids were affected by the deposition conditions. The wounded (but not plectonemic) shapes assumed by −SC can be related to a greater flexibility of the −SC with respect to the tight arrangement assumed by the +SC. These forms resemble the hyperplectonemes recently described41 and can be the result of a negligible braiding effect: the distribution between Wr and Tw are mainly due to the mechanical stress induced by supercoiling. On the other hand, +SC molecules exploit the synergistic effect of both steric and electrostatic interactions that favour braiding and development of plectonemes. This is a quite unexpected and novel result, since it demonstrates a clear asymmetric behaviour of plasmids with different SC sign.

### Temperature effect on plasmids supercoiling

It is well known that temperature is an important parameter affecting DNA topology. However, the effect of temperature on supercoiling has been analysed by AFM only for −SC plasmids in air42; this study showed that increasing temperature from 25 to 50 °C induces a shift of the plasmid structure from supercoiled to more relaxed shapes. Moreover, observation at higher temperatures was accompanied by the appearance of globular structures, which became predominant at 80 °C43. These structures were interpreted as a result of denaturation of localized regions, followed by collapse of the single strands. Finally, at 100 °C DNA was degraded into small fragments43. Since these experiments were performed in air, it is not known whether these structures might be due to deposition conditions. Moreover, no data on the effect of high temperature on +SC DNA are available.

We thus sought to set up a protocol where plasmid solutions were pre-incubated at a given temperature, deposited on mica-APTMS and quickly observed in solution at the same temperature. Since the APTMS layer might be partially hydrolysed at high incubation temperatures44 reducing the binding of plasmids to the mica surface, the incubation time of the substrate at high temperature was reduced to a minimum. As shown in Fig. 6, after pre-incubation for 10 min at 90 °C and direct observation after additional 3 minutes on mica-APTMS, both −SC and +SC plasmids were still bound to the treated mica surfaces, suggesting a reasonable stability of the APTMS layer in our conditions. Interestingly, under these conditions SC molecules assumed globular and aggregated structures, confirming previous observations in dried samples43 (Fig. 6A). In striking contrast, +SC molecules conserved their plectonemic structure almost intact after the same treatment (Fig. 6B; for comparison purposes AFM images of the same pool of plasmids acquired at 35 °C are reported in Fig. S1). Again, this behavior confirms that +SC plasmids topology can withstand external changes, while the −SC behavior is compatible with a more flexible polymer.

Previous experiments showed that, whereas −SC molecules (minicircles as well as plasmids) expose single strand regions even at room temperature, +SC molecules do not27,28. We set up a similar experiment with our molecule populations: when incubated with the ssDNA endo-exonuclease Bal31 (which is able to cut single strand DNA in denatured bubbles), −SC DNA was degraded completely after 1 hour at 30 °C (Fig. 7A, lane 1–4), whereas highly +SC plasmids (σ ≥ +0,04) were resistant to Bal31 digestion, confirming that they do not expose single strand regions at this temperature (Fig. 7A, lane 5–8).

Since our AFM analysis showed a striking structural stability of +SC molecules even at 90 °C, we sought to find an alternative biochemical tool to probe the 2D structure of our molecules at high temperature. To this aim we used glyoxal, a small molecule that traps exposed bases and is resistant to high temperature. When incubated with 1 M glyoxal at room temperature, the −SC DNA band was shifted, indicating binding of the drug to single strand regions (Fig. 7B, lane 1–4); in contrast, the mobility of the +SC DNA was not affected when incubated with increasing concentrations of glyoxal (Fig. 7B, lane 5–8). In order to evaluate the effect of temperature, −SC and +SC DNA molecules were incubated for 5 minutes at increasing temperatures (from 80 °C up to 90 °C) in the presence of glyoxal. As expected, for the underwound DNA the glyoxal-induced shift increased with temperature (Fig. 7C, lane 1–3), because temperature increase further induces local denaturation. Interestingly, +SC plasmids did not bind glyoxal at any temperature up to 90 °C (Fig. 7C, lane 4–6) indicating that they do not contain unpaired bases when incubated for 5 min up to 90 °C and are highly resistant to thermal denaturation.

In a similar analysis performed on DNA minicircles, Irobalieva and colleagues found that topoisomers with ΔLk ranging from −6 to −1 showed exposed bases, whereas those with ΔLk = 0, +1 and +2 did not, in line with our results. However, they also found that the +3 topoisomer was sensitive to Bal31 degradation, albeit at lesser extent as compared with −SC DNA molecules. This result was explained assuming that overwinding induces a sharp bending in this small topoisomer, resulting in local denaturation27. In contrast, we could not observe any evidence of denaturation in our +SC with very high ΔLk (≥ +12), suggesting that these larger molecules can accommodate the Wr excess without the need of bending or denaturation to compensate for the torsional stress.

## Conclusion

In this work we exploited AFM to perform for the first time a systematic analysis of plasmids having excess linking number between −12 to ≥ +12 (|σ|≈ 0.04), covering the full range of physiologically relevant topological states. By exploiting the high resolution imaging of DNA we studied how plasmid conformation is affected by immobilization, surface and temperature. We found a strong asymmetry in the behaviour of −SC and +SC molecules (summarized in Fig. 8a). Both −SC and +SC molecules deposited and dried onto APTMS-treated surfaces, assumed plectonemic shapes. In contrast, the presence of cations (MgCl2) during deposition influenced the shape of −SC molecules, which assumed an open conformation, but not of +SC molecules, possibly due to a specific interaction of DNA with Mg cations on surfaces which can alter the canonical B structure or maybe suggesting that positive overwinding protects DNA from cations-dependent alterations. Moreover, direct observations in liquid showed a remarkable structural stability of +SC molecules at high temperature, whereas −SC molecules collapsed above 90 °C. These data, confirmed by biochemical analysis, are in line with the biological role of both negative supercoiling, which is thought to facilitate breathing of the double helix, and positive supercoiling, which is likely to contribute to DNA stability under extreme conditions.

Showing that the opposite signs of DNA affect the physical properties of the superhelices, our study provides new insights that may contribute to understand the role of specific DNA topology in the cellular environment as well as the physiological function of reverse gyrase and its hallmark reaction45,46. Our results also show that AFM is a powerful tool to correlate different shapes of DNA molecules to different topologies, upon deposition in the presence of MgCl2. For instance, by AFM it is possible to analyze, identify and quantify at single molecule level: (i) DNA samples with mixed topologies; (ii) different local topologies in DNA-protein complexes: (iii) supercoiling-dependent binding of specific proteins (Fig. 8b). Our results might also be useful to explore DNA dynamics and its interactions in confined space47,48,49 with other charged molecules, such as chemotherapeutic compounds, intercalating agents, and proteins involved in DNA metabolism.

In particular, the superhelical density of DNA is a critical determinant of the nature of bound proteins and the assembly of nucleoprotein complexes. Topology-dependent binding enables DNA-binding proteins to discriminate between different sites in DNA50. For instance, HMG–containing and TATA binding proteins bind to untwisted DNA, and bacterial architectural proteins, such as HU and H-NS, as well as eukaryotic histones, bind and stabilize -SC DNA51,52. Yet others, for example the bacterial FIS protein preferentially binds intermediate supercoiled DNA as compared with the extremes of the topological spectrum53; the reverse is true for the tumor suppressor p53, which binds preferentially both −SC and +SC DNA, whereas it shows lower affinity for relaxed DNA54. Finally, it will be interesting to investigate the interplay between DNA knots, which are occasionally introduced by topoisomerases, and +SC. The behavior of knots is an important avenue of future research, because they heavily affect nucleic acids properties both in vivo (e.g., transcription and replication), and in single-molecule studies, such as pore translocation55.

## Methods

### RG time course reaction

For time course experiments, we incubated the RG from S. solfataricus30 (80 nM) with 3000 bp long −SC pBs plasmid (10 nM) in a final volume of 150 μL of 1 ×  RG buffer (35 mM Tris-HCl, pH 7.0, 0.1 mM Na2EDTA, 30 mM MgCl2, 2.0 mM DTT, 1 mM ATP). Reactions were incubated at 90 °C and withdrawals of 30 μL were done at different times as indicated. After incubation, DNA samples were purified by phenol extraction and ethanol precipitation; an aliquot (300 ng) of each sample was analysed by two-dimensional gel electrophoresis in 1.2% agarose and 1×  Tris borate-EDTA buffer41. Gels were stained with ethidium bromide (1 μg ml−1) and destained in deionized water for the analyses with UV light by a VersaDoc 4000™ apparatus and the QuantityOne software (Bio-Rad). Another aliquot of the same samples was used for AFM analyses.

### Determining supercoiling density of plasmid DNA molecules

Topological properties of DNA are defined by: twist (Tw, the number of times each helix twists around the other) and writhe (Wr, the number of crossings the double helix makes around itself); in a covalently closed DNA molecule, the sum of these two parameters is a topological invariant, called linking number (Lk = Tw + Wr). Because the energy required to supercoil a polymer depends on its length, a useful parameter to compare different topological isomers (topoisomers) is the supecoiling density σ = (Lk − Lk0)/Lk0, where Lk0 and Lk represent the DNA linking number for the relaxed and the supercoiled DNA, respectively. The superhelical density of topoisomers with different supercoiling degree was estimated by 2D gel electrophoresis. Briefly, after migration the gel was stained with ethidium bromide (1 μg ml−1), destained, and photographed under UV light. The relative intensity of each band was measured and the DNA linking number change (ΔLk) of corresponding topoisomers was determined and used to obtain σ values applying the above equation. The σ values of all topoisomers whose intensity was >30% of the intensity of the most abundant topoisomer were used for the calculation of the mean σ value.

To increase the resolution of highly negatively supercoiled molecules, which run as single bands in 2D gels, samples was subjected to monodimensional electrophoresis in the presence of a small concentration of the intercalating agent chloroquine, which causes a decrease in Tw and consequently an increase of Wr. Under these conditions, the band of the negative plasmid was split into a few bands, with ΔLk ranging from −7 to −12. The σ of the most −SC topoisomer (ΔLk = −12) is −0,04, in line with the supercoiling density of plasmids extracted from E. coli cells cultures42 (Fig. S2).

For the +SC topoisomer population, monodimensional electrophoresis without intercalants was used, showing that they still migrated as a single band, whose σ was ≥ 0,04 and it was not possible to determine whether this population is comprised of a single or a few compact topoisomers.

### DNA deposition protocol

For all samples, DNA stock solution was mixed with ultrapure water, Tris buffer at pH 7.5 (final concentration 7 mM) and salts (see below), achieving a final DNA concentration of 2 ng μL−1. To induce a reproducible and attractive interaction between the plasmids and the surface of the mica we either added MgCl2 (3 mM final concentration) to the solution or we added an APTMS layer to mica before DNA incubation. APTMS- treated mica was obtained exposing freshly cleaved mica substrates to APTMS vapors in vacuum for 3 minutes and used immediately. In this latter case NaCl at a final concentration of 100 mM was added to the mixture. For measurements in air, 20 μL of the final plasmid solution were added to the mica and incubated for 3 min, afterward samples were gently rinsed with 0.6 ml of ultrapure water and dried under a mild air flow.

For measurements in liquid, two different procedures were used, both exploiting APTMS-treated-mica as substrate. For measurements at low temperature (35 °C), NaCl was added to the mixture at a final concentration of 100 mM, and 20 μL of the final plasmid solution were incubated with mica for 3 minutes. Then, samples were gently rinsed adding and removing 80 μL of the buffer solution used to dissolve the plasmids. For high temperature measurements, plasmid solutions were heated at 90 °C for 10 minutes, then 25 μL of this solution were incubated with the APTMS-treated mica substrate at 90 °C for 3 minutes, supplying additional buffer to compensate for evaporation and avoid concentration effects. The short incubation time was chosen to reduce hydrolysis of aminosilane, which may occur at high temperature, although at slow rate44. Finally, the incubated mica was gently rinsed (at room temperature) adding and removing 80 μL of the same buffer solution used to dissolve the plasmids. No salt was added in this case to increase plasmid affinity toward mica at this high incubation temperature. In both cases, 100 μL of the corresponding buffer were added to the sample before insertion in the AFM cell.

### AFM Imaging

AFM images were collected using an Asylum Research Cypher equipped with an environmental scanner. Details of imaging parameters are the following:

• Imaging in air: NSG 01 DLC (nominal parameters: force constant 5.1 N/m, resonant frequency 150 kHz) and Olympus 240 TS (nominal parameters: force constant 2 N/m, resonant frequency 70 kHz) tips. No main differences were found using these two tip models. AFM fast scan rate was around 1–1.5 Hz with a tip oscillation amplitude below 10 nm.

• Imaging in liquid: Olympus BL-AC40TS (nominal parameters: force constant 0.09 N/m, resonant frequency 110 kHz in air) tip. Fast scanning rate between 2 and 4 Hz, tip oscillation amplitude between 2 and 4 nm.

Images were obtained at several separate mica locations. All the AFM acquisitions in air were performed at room temperature, while acquisitions in liquid were performed at 35 °C. Asylum provided software was used for data acquisition. AFM visualization was performed using ImageJ26 and dedicated plug-ins that we developed.

### Nuclease Bal-31 assay

−SC and +SC plasmid DNA (400 ng in 40 μL final volume) was incubated with 0.2 units of nuclease Bal-31 at 30 °C in 20 mM Tris-HCl, pH 8.0, 600 mM NaCl, 12 mM MgCl2, 12 mM CaCl2 and 1 mM disodium EDTA. At 1, 10, 30 and 60-minute intervals, 10 μL (100 ng) samples were removed, stopped by addition of an equal volume of stop buffer (50 mM Tris-HCl, pH 8.0, 100 mM disodium EDTA, 10% glycerol, 200 μg ml−1 proteinase K), followed by incubation at 45 °C for 30 min to degrade Bal-31. Products were analyzed by electrophoresis through 1.2% agarose in 1× Tris-Borate EDTA. Gels were stained with ethidium bromide (1 μg ml−1) and destained in deionized water for the analyses with UV light by a Bio-Rad VersaDoc apparatus.

### Glyoxal assay

Glyoxal was first deionized with AG-501-X8 mixed bed ion-exchange resin (Bio-Rad, Hercules, CA). −SC and +SC plasmid DNA (100 ng) was incubated with increasing concentrations of glyoxal (from 0.25 to 1 M) in 10 mM sodium phosphate, pH 7.0, for 16 h at room temperature. Control reactions were incubated in 10 mM sodium phosphate only. Samples were analysed by electrophoresis through 0.8% agarose gel in 1× Tris-Borate EDTA. Gel was analysed as already reported.

In order to determine the effect of temperature on glyoxal binding, we performed the reaction by incubating 100 ng of negatively or positively supercoiled DNA in presence of 1 M glyoxal for 5 min. at indicated temperatures. After incubation, samples were analysed as described above.

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## Acknowledgements

Work in the authors’ laboratory is supported by FIRB-Futuro in Ricerca RBFR12OO1G_002 “Nematic”.

## Author information

### Author notes

1. Paolo Bettotti, Valeria Visone and Lorenzo Lunelli contributed equally to this work.

### Affiliations

1. #### Nanoscience Laboratory, Department of Physics, University of Trento, Via Sommarive 14, I-38123, Povo (Trento), Italy

• Paolo Bettotti
2. #### Institute of Biosciences and Bioresources, National Research Council of Italy, Via Pietro Castellino 111, 80131, Napoli, Italy

• Valeria Visone
• , Giuseppe Perugino
• , Maria Ciaramella
•  & Anna Valenti
3. #### Laboratory of Biomarker Studies and Structure Analysis for Health, FBK-Fondazione Bruno Kessler, Via Sommarive 18, 38123, Povo, Trento, Italy

• Lorenzo Lunelli
4. #### Institute of Biophysics, National Research Council of Italy, Trento, Italy

• Lorenzo Lunelli

### Contributions

P.B., V.V. and L.L. designed and conducted the experiments, analyzed the results; G.P. analyzed the results; M.C. & A.V. designed the experiments, analyzed the results and wrote the paper. All authors reviewed the manuscript.

### Competing Interests

The authors declare no competing interests.

### Corresponding authors

Correspondence to Maria Ciaramella or Anna Valenti.