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    Mechanical transition in a highly stretched and torsionally constrained DNA.

    Janusz Strzelecki1, ukasz Pepowski1, Robert Lenartowski2, WiesawNowak1,

    Aleksander Balter1

    1 Institute of Physics, Nicolaus Copernicus University, Grudzidzka 5, 87-100 Toru,

    Poland

    2 Faculty of Biology and Environment Protection, Laboratory of Isotope and

    Instrumental Analysis, Lwowska 1, 87-100 Toru, Poland

    (Received

    ABSTRACT

    We show results of our high force (up to 1.8 nN) AFM force

    spectroscopy measurements of a double stranded DNA. We have found that

    the force spectra of torsionally constrained molecules display a small

    plateau occurring at a force of approximately 1nN. This transition, not

    reported before, is absent in molecules with rotational freedom. Based on

    all-atom molecular dynamics simulations, we suggest that this plateau is a

    result of reducing the diameter of a double helix through extreme

    stretching. The simulation suggests that the molecule is forced into a form

    resembling an underwound P-DNA, with bases protruding outside of

    backbones. These results broaden our understanding of fundamental aspects

    of DNA nanomechanics.

    PACS numbers 87.15.La 87.14.gk 87.64.Dz

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    DNA is a key molecule of life and provides great hopes as a bionanotechnology

    material [1]. Thus, since the very beginning of a single molecule force spectroscopy [2] this

    all important biopolymer remains within focus of extensive nanomechanical research. DNA

    was stretched and twisted in experiments involving optical/magnetic tweezers and atomic

    force microscopy (AFM) [3-6]. Those experiments revealed that the DNA double helix can

    be overstretched up to 70% of contour length when pulled. This transition manifests as a

    force-specific plateau on a force - distance curve [7-8]. In majority of experiments the ends of

    double helix may rotate along a long axis of DNA and then the plateau is observed at 65 pN

    [9-10]. In torsionally constrained setting, when such rotation is not possible, the force is 110

    pN [7-8, 11-12]. A second plateau, marking the full strands melting, was encountered at

    approximately 300 pN [13-15]. Despite significant research effort, very few experiments

    explored the DNA mechanics beyond 500pN limit. Such extreme deformation of double

    stranded DNA (dsDNA) should be feasible, as single stranded DNA (ssDNA) was stretched

    with forces as large as 2nN [13, 16]. To date, only stretching torsionally unconstrained DNA

    with forces up to 1 nN was reported [13]. A more detailed study of DNA mechanics in this

    high force regime, including stretching of torsionally constrained molecules is still missing .

    This regime is biologically important. A recent research [17-18] suggests that some damage

    acquired by genetic material during abnormal mitosis can result from extreme stretching and

    rupturing of DNA when the chromosomes are pulled apart. Such damage can cause mutations

    and trigger tumor initiation and progression. Additionally, extracellular DNA that strengthens

    bacterial biofilm [19] is also exposed to significant deforming forces by the environment.

    Knowing the behavior of double helix at its mechanical limits is also important in case of its

    potential applications as a bionanotechnology building block [1].

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    In this paper, we report an experimental evaluation of dsDNA stretched up to nN

    force range. We observed for the first time, to the best of our knowledge, a mechanical

    transition exhibited as a third plateau in force spectra of torsionally constrained molecules. A

    mechanism of the plateau origin supported by Steered Molecular Dynamics (SMD)

    simulations is proposed.

    A simple, and yet a very effective method of nonspecific molecule picking with an

    untreated AFM tip allowed us to achieve a stretching force close to 2nN. We used the pUC18

    plasmid (Fermentas, SD0051), linearized with the EcoRI enzyme (Fermentas, ER0271). To

    check a possible influence of the DNA base pair sequence and a molecule length on the

    observed effect, a lambda phage (Fermentas, SD0011) was studied as well using the same

    protocol. SMD simulations have been performed using NAMD 2.8 code [20] and all-atom

    CHARMM27 force field [21]. Simulations mimicked topologies of our AFM force

    spectroscopy experiment - dragged atoms had constraints in all directions except the helical

    axis, thus preventing rotation during stretching. A control set of simulations was also made,

    with the pulling carbon atoms unconstrained and a free rotation around the helical axis [22].

    In the majority of cases molecules picked with an AFM tip detached and were lost at

    stretching forces below 0.5 nN. Nevertheless, patient molecule fishing allowed us to record

    48 force curves (each resulting from different molecule) above this limit, with detachment

    force beyond 1 nN (a maximum observed stretching force was 1.8 nN). Force curves obtained

    showed characteristics either of torsionally constrained (rounded onset of overstretching

    transition at 110pN, no hysteresis upon relaxation) or unconstrained DNA stretching (sharp

    onset of overstretching at 65pN, significant hysteresis upon relaxation). Apart from the well

    known overstretching and melting transitions also a third, never previously reported plateau

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    was present, but only if the stretched molecule was torsionally constrained (Fig. 1). This

    feature appeared at very high extensions, when the molecule was stretched approximately 2.3

    times its contour length and for forces approaching 1 nN. As can be seen in Fig. 1, this

    plateau is very small when compared to the overstretching and melting transitions.

    Force spectrograms of molecules that did not detach during stretching show that the

    transition is reversible (Fig. 2(a)) and is present both in the stretching and relaxing curves

    similarly to the overstretching and melting. This plateau was observed in each constrained

    DNA force curve, obtained in independent experiments on different samples and in the

    molecules of different length (Fig. 2(b)), provided the stretching force was large enough.

    Repetitive stretching of the same molecule also marked its presence in each force

    spectrogram (Fig. 3(a)). Additionally, when a portion of a stretched molecule detached and

    was stretched again the transition appeared each time (Fig. 3(b)). This third plateau cannot

    thus be considered just a minor detachment event or an instrumental artifact. In our opinion it

    is an integral feature of DNA mechanics and reflects a forced conformational change within

    the highly stretched double helix itself.

    To directly compare data from different molecules we employed extension normalization

    procedures [23] for 10 curves with molecular extension at 1100 pN (Fig. 4(a)). In order to

    account for the influence of base pair sequence and a significant variation in the contour

    length, additional measurements with the lambda phage DNA were made and force curves

    were analyzed along with the curves obtained or pUC18 plasmid DNA. While analyzed

    curves overlap perfectly within the overstretching and melting plateaus region, a significant

    variation can be seen in the third plateau. It was observed for a certain range of forces (820-

    1020 pN) rather than a specific value, as in the case of overstretching transition (Fig. 4(b)).

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    This force value does not seem to depend on the length of the stretched molecule. The

    extension resulting from this transition is, on the other hand, clearly proportional to the

    contour length (Fig. 4(a) inset). A rough estimate with a linear fit yields a 0.015 nm extension

    per single base pair resulting from this plateau.

    The third plateau never appeared when the stretched molecule was unconstrained.

    This can be clearly seen on Fig 5, where normalization was made for force curves showing

    characteristics of resulting from molecules with a free rotation. This implies that the origin of

    this transition is inherently connected with the DNA torsional constrain.

    In order to explain the mechanism behind this plateau we performed SMD simulations

    for both constrained and unconstrained dsDNA.Those simulations show that when the DNA

    cannot unwind, the stretched double helix reduces its diameter, forcing both strands into

    contact. As a result, stacking is disrupted and bases start protruding outwards (Fig. 6). The

    molecule adopts a shape similar to the previously reported P-DNA [24]. However, the

    structure obtained through extreme stretching is underwound in comparison to the P-DNA

    created by the extreme overtwisting with magnetic tweezers. Conversion of SMD force vs

    extension curves relative to the contour length allowed for comparison with AFM force

    spectroscopy data. We can see that the plateau coincides well with the transition to the

    underwound P-DNA. This leads to conclusion that this origin of the third plateau is a sound

    hypothesis.

    SMD with a free rotation of stretched molecule leads to formation of the Zip-DNA

    form, with an interchangeable base stacking, reported previously [25]. This explains the lack

    of the third plateau in unconstrained molecules, as stretching induced helix diameter

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    reduction cannot take place in that case. Additionally, we can expect the force necessary to

    cause the diameter reduction would depend on the arrangement of the DNA helix. On the

    other hand, in AFM experiment with nonspecific molecule attachment a variation in pulling

    angle or in separation of DNA strands is very likely. Those conditions can explain the fact

    that the plateau did appear within a certain range of forces rather than for a specific one.

    We did a rough estimate to test this model further. A height of a single helical pitch is

    equal to , with lbeing the helix length and r the helix radius. With 38 bp S-

    DNA present after overstretching a helix length would be 26.6 nm. Based on AFM imaging

    of stretched DNA [26] we can assume that before the transition the helix radius is

    approximately 0.6 nm. Reducing the helix radius by 0.25 nm, which would correspond to the

    average size (0.5 nm) of a single pyrimidine and purine base would result in elongation of

    helical pitch by 0.18 nm and 0.0047 nm per single base pair. The extension of 0.015 nm per

    single base pair obtained from the linear fit from the inset on Fig 4 is approximately three

    times smaller. However, experimental results indicate that 1/5 of overstretched torsionally

    constrained DNA has P-DNA form [12], thus 1/5 of base pairs could not contribute to the

    extension through the diameter reduction. Additionally, further bases protruding outside

    backbones appear beyond overstretching transition [27] due to melting. Thus, when

    comparing the extension per single base pair obtained from our experiment with a proposed

    model, the actual value should not be calculated over all base pairs, but adjusted accordingly

    at the very least by a factor of 0.8. Considering this, we can find a good agreement between

    our results and this simple geometrical estimate.

    In summary, we report for the first time the presence of a mechanical transition in a

    highly stretched DNA with a torsional constraint. Based on SMD simulations we postulate

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    that the plateau observed in force spectra is caused by the double helix diameter reduction of

    the strained molecule, leading to formation of structure similar to the underwound P-DNA.

    Our results give a new insight into the understanding of DNA mechanics. The DNA proves to

    be a remarkably resilient molecule. As long as the double helix does not unwind, it is not

    completely denatured until a force approaching 1 nN is reached. Even after such extreme

    stretching, this molecule may easily return to its relaxed conformation. Additionally, if the

    hypothesis of the forced transition to an underwound P-DNA is correct, then a new

    mechanism, besidest the full separation of strands or overtwisting, to expose nucleobases

    seems to be possible. Thus, strong mechanical deformation could serve as a means to provide

    an access to the genetic sequence. A similar mechanism of opening binding sites in globular

    proteins through the mechanical unfolding has been postulated [28].

    ACKNOWLEDGEMENTS

    We thank Prof. Piotr E. Marszalek for stimulating our work in single molecule force

    spectroscopy and Prof. Richard Lavery for DNA pdb files.

    Janusz Strzelecki acknowledges grant Krok w przyszo(I and III edition) from Marszaek

    of Kujawsko-Pomorskie Voivodeship and EU.

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    [7] S. B. Smith, Y. Cui, and C. Bustamante, Science 271, 795 (1996).

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    SMD simulations details.

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    [27] J. Van Mameren, P. Gross, G. Farge, P. Hooijman, M. Modesti, M. Falkenberg, G. J.

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    FIGURE CAPTIONS

    FIG. 1. Stretching non-specifically attached dsDNA using AFM force spectroscopy.

    Untreated AFM tip was used to pick and stretch DNA molecules with a force reaching almost

    2 nN. Representative force curves obtained for molecules of similar length but different in

    torsional arrangement are shown. A small third plateau, absent in a torsionally relaxed DNA

    is visible in a constrained molecule.

    FIG. 2. A third plateau observed in a highly stretched constrained DNA.The transition

    underlying this event is reversible, as it appears both during the stretching (upper black) and

    the relaxation (lower red) of a single DNA molecule (a). A magnified fragment of a force

    curve, showing the third plateau in detail is displayed in the inset. This plateau was observed

    each time a force exceeding 800 pN was achieved, as can be seen in three representative

    curves obtained for different molecules on different samples, with significant variation in

    contour length (b).

    FIG. 3 The third plateau is present in repeatedly stretched DNA molecule.The plateau

    was observed in a series of multiple stretching of the same DNA molecule (a). Two curves

    (upper black stretching, lower red relaxation) that show this transition both before and after a

    minor detachment of a stretched molecule are also shown (b).

    FIG. 4 Normalization of 10 force curves showing the third plateau and a histogram of

    transition forces.Curves were normalized for the force of 1100 pN [9 pUC18 (black) and 1

    lambda phage (bright green)]. A full overlap can be seen in overstretching and melting

    transition areas (a). A dependence of plateau length on the molecule contour length

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    [expressed in number of base pairs (bp)] is shown in the inset [pUC18 (black square) and 1

    lambda phage (bright green diamonds)]. A linear fit to this data (red solid line) gives an

    estimate of 0.015 nm increase in length per base pair due to transition. This plateau appears

    for a certain range of forces (820 -1020 pN) (b) instead of a specific one. A molecule length

    does not seem to influence the value of those forces.

    FIG. 5. Lack ofthe third plateau in torsionally relaxed DNA molecules.The figure shows

    a set of 6 curves resulting from the stretching of unconstrained molecules, with the extension

    normalized for force of 1100 pN. The plateau which was present in the constrained DNA is

    not observed here.

    FIG. 6. SMD simulations of highly stretched DNA show a possible mechanism of the

    transition.The figure shows curves acquired from two 10 ns (grey) and one 100 ns (pink)

    SMD simulations of poly(dA-dT) poly(dA-dT) and two 10 ns (green) and 100ns (blue)

    poly(dG-dC) poly(dG-dC). The rotation of molecule during stretching was prevented. An

    experimental force curve (black) is included as a reference. The extension is calculated in

    reference to the initial B-DNA form length. Snapshots from different phases of the

    simulation, marked by orange dots are also shown. A constrained stretched molecule is

    forced to reduce its diameter as the extension increases and the base pairing and stacking is

    disrupted. At the extension coincident with the plateau a structure resembling an underwound

    P-DNA is formed, with base pairs protruding outside of backbones. The transition can thus be

    attributed to the transition into this new form.

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    FIG. 1

    Strzelecki

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    FIG. 2

    Strzelecki

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    FIG. 3

    Strzelecki

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    FIG. 4

    Strzelecki

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    FIG. 5

    Strzelecki

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    FIG. 6

    Strzelecki