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Proc. Natl. Acad. Sci. USA, Vol. 94,
pp. 11935-11940,
October 1997
Laboratoire de Physique de la Matière Condensée, URA
1437, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris,
France
Communicated by Calvin F. Quate, Stanford University, Stanford, CA, July 28, 1997 (received for review May 24, 1997)
We describe the mechanical separation of the two complementary
strands of a single molecule of bacteriophage Mechanical force at the molecular level is involved in the action
of many enzymes. This is the case for the processes of replication or
transcription in which enzymes translocate processively with respect to
DNA. Such translocation occurs unidirectionally over long segments of
DNA, and the enzymatic machinery has to develop a force against a
number of impediments: the disruption of complementary base pairs, the
possible attachments of the DNA or the enzymes to cellular components,
structural proteins that coat DNA and have to be displaced, topological
constraint, and viscous friction. The force necessary to stop a
transcribing Escherichia coli polymerase recently has been
measured (1). In the case of replication (2), the DNA double helix is
opened, and two daughter strands are formed. The opening may be
associated to the translocation mechanism of the polymerase itself or
may be assisted by accessory proteins like helicases or single-strand
binding proteins. Moreover, because the strands are intertwined, strand
separation is coupled to a local rotation. Topological constraints are
resolved by topoisomerases (3, 4).
Long before the enzymes associated to replication were known, a
simple model had been considered (5) in which the mechanism of
unwinding the strands during replication is coupled to rotation of the
whole molecule. A molecular configuration with a Y shape had been
proposed in which the vertical part is the parent helix, and the two
arms are the separated strands that get replicated. As replication
proceeds, a "speedometer cable" rotation motion was proposed for
all three branches of the Y.
We have set up an experiment to measure directly the forces involved in
the elementary process of mechanical strand separation, with no enzyme
present. The experiment presented here is approaching the Levinthal and
Crane (5) configuration.
Force measurement on single molecules of DNA is an emerging field
(6-13). For typical molecular interactions involving biomolecules, the
forces involved are small (sub-picoNewton to 10s of picoNewtons [pN = 10 To achieve mechanical unzippering of DNA, the small interstrand
spacing (nanometer) has to be adapted to the micrometer size of a
micromechanical device that will separate the strands. To solve this
problem, a specific molecular construction has been designed in which
(i) one strand of the DNA to be opened is prolonged by a
linker arm and (ii) two specific functionalizations are
introduced to obtain the desired attachments of the construction to the
micromechanical device. The design of the construction used in the
experiment appears in Fig. 1 and
includes two molecules of double stranded
The preparation is
done sequentially, using The Cos sequence are: 5 Oligo1, 5 DNA-2 (10 µg) and oligo-3 (preparation A, 1:10 molar ratio, 20 µl)
as well as DNA-1 (10 µg) and oligo-4 (preparation B, 1:10 molar
ratio, 20 µl) were hybridized (55°C, 1 h) and then ligated (0.2 Weiss units of T4 ligase, T = 16°C, 1 h). Then,
preparation A and oligo-1 (preparation C), as well as preparation B and
oligo-2 (preparation D), were hybridized (55°C, 1:10 molar ratio,
1 h), then ligated (0.2 Weiss units of T4 ligase, T = 16°C,
1 h), and then purified (Amicon 100 column). Finally, preparations
C and D with 15% added polyethylene glycol (preparation E, 1:1 molar ratio of C and D, molecular weight of polyethylene glycol = 8000) were hybridized (40°C, 1 h, then cooled slowly), then ligated (0.2 Weiss units of T4 ligase, T = 16°C, 2 h), and purified
(Amicon 100 column). The end mixture E was diluted for final use.
Occasionally, constructs may incorporate multimers of The experiments were
performed in a liquid buffer (PBS, pH 7.0/10 mM phosphate/150 mM
NaCl, at room temperature), which was retained by a ring glued with
paraffin on top of a microscope slide. This assembly formed a
"well" (see Fig. 2, Inset) and was placed on an
inverted video microscope. The face of the microscope slide in contact
with the buffer was coated with an antibody against digoxigenin. The
digoxigenin functionalized extremity of the construction was attached
to this face, and the biotinylated extremity was anchored to a
microscopic bead coated with streptavidin (Dyna beads,
Using a commercial
pipette puller, we prepared tapered glass microneedles (typical
dimensions: shank diameter 1 mm, tip diameter 1 µm, and tapered
length 1 cm). The stiffness varied from needle to needle and was
calibrated (as described in the next section). The needles were
chemically biotinylated [silanization with
N-( Using the previously
described microscope set-up, a paramagnetic bead (Dyna) was attached to
the end of the microneedle within a well (without DNA). A magnet was
approached, and the deflection of the tip of the microneedle vs. the
magnet-to-bead distance was measured. The magnet was removed to a
position that corresponded to a small deflection. The bead was then
detached mechanically from the soft microneedle using a second, stiff
microneedle controlled by micromanipulation. The bead then moved
quickly toward the magnet.
Using stroboscopic illumination, the time-dependent position of
the bead was recorded on video during the acceleration toward the
magnet. The velocity of the bead as a function of the bead-magnet distance was derived from these data. The local velocity v was proportional to the force on the bead (by Stokes' formula: F = 6 An independent confirmation of the calibration follows:
Sometimes, when the opening does not occur (this may be due to partial adsorption of the construction to the bead), the force rises as a
function of the displacement until the characteristic plateau in the
force vs. extension curve of the double helix (12, 13) is observed.
This corresponds to the overstretching of the linker arm. Using the
above force calibration, force values of In the
preparation steps in which a small volume of reaction was preferred, we
used a small circular disc of thin glass that fit inside the ring of
the well. Reactions took place in a thin layer of fluid limited by the
microscope slide and the disc. The microscope slide was coated (6, 11)
with antibodies against digoxigenin (anti- digoxigenin, Boehringer
Mannheim). Then, a dilution of the construction (10 µl of a dilution
of typically 1 ng/µl) first was added to the well, and a
disk was dropped onto it. Incubation typically was done in this covered
well for 30 min. Excess buffer was then added to the well, and the
glass disk was removed. The beads (Dynal, paramagnetic beads, The tip of the microneedle was
first attached to a chosen bead. Then a translation stage displaced
laterally the well while the base of the microneedle was maintained at
a fixed position. The deflection of the tip of the microneedle under
microscope was measured on the video image as a function of this
displacement.
Before the attachment of the microneedle on a tethered bead, no
external force was present, and the linker arm was compacted by the
action of the entropic forces. The beads were thus situated at a close
distance (<1 µm) from the attachment point on the bottom surface.
Just after attaching the bead to the microneedle, it was raised by a
few micrometers above the bottom surface to avoid solid friction
between bead and surface. The sample was displaced laterally at a
constant velocity in a given direction, and a sizable deflection
appeared when the displacement approached the contour length of the DNA
linker. The experiment also can be done by displacing the sample in the
reverse direction; a symmetrical measurement results. This symmetry was
used to localize the "zero" point for the displacement. The range
of translation velocities explored spanned from 20 to 400 nm/s
although the data presented in this paper were obtained in the low
velocity range of 20 to 40 nm/s.
During a measurement, the bead-to-surface distance was small compared
with the lateral displacement (because of the long linker arm).
Therefore, the trigonometric corrections were neglected.
In Fig.
3, an example of an on-line
(0.2-0.3 pN resolution) force measurement obtained at a translation
velocity of 40 nm/s is presented. For this particular measurement,
the linker arm was a dimer of
At point C, a sudden change in the force vs. end-to-end distance
dependence occurs. A quasi-plateau C-D is observed at a typical force
of Going back from D to A (not shown), the two single strands reannealed,
and a new measurement cycle could be engaged. The force signal acquired
during this return phase may have differed from the signal obtained
during the opening, with instabilities and partial nonreproducibility.
However, upon opening again, the force signal gives the same signature
again. Measurements may be interrupted by the breakage of the anchoring
or of the molecule, e.g., nicks. Typically, The full
sequence of bacteriophage By a scaling adjustment of the horizontal axis of the GC content
curve, it was possible to approximately match the above gross features
with the experimental force curve vs. end-to-end distance. This suggested the following empirical relation: a displacement of 1 µm of the well corresponds to a progression of 1000 bp in the
sequence (corresponding to a total of 2000 bases of ssDNA). During an
opening experiment, the single strands were stretched by an
approximately constant force value of f0 = 13 pN.
The total length of a ssDNA of 2000 bases subjected to a force of 13 pN is To experimentally
substantiate that a displacement corresponded to a progression in the
sequence, we prepared a different molecular construction; in this new
construction (called "
We carried out an analysis of
the sequence dependence of the force signal with a high resolution mode
of data extraction, performed off-line from the video-taped movie of
the bead and the microneedle under the microscope. Fig.
5.1 is a typical video frame. A
single video line per frame, shown as a dark horizontal line, is
sampled at a constant rate of 5 or 12 times/s; it carries the
information of the instantaneous deflection of the microneedle. Each
line is converted to a computer file consisting of 640 pixels with 256 gray levels. From this, a spatio temporal image (5.2) is constructed
(time linearly increasing from top to bottom). In this example, the
well is being displaced to the right, and the microneedle bends
accordingly. The scanned region corresponds approximately to the region
spanning the 17,000- to 19,000-bp index in the sequence of
Fig. 5.3 shows the corresponding high resolution force signal
vs. displacement of an opening from a base index of
A
direct comparison between a high resolution force signal and the
sequence of
The comparison presented in Fig. 6 shows that a constant speed
displacement is turned into a nonhomogeneous speed of opening. When
reconsidering the deflection vs. displacement curve (Fig. 5.3), the
slow rise in force corresponding to a sawtooth is associated to a
nearly blocked progression in the sequence. The slope of the force rise
vs. displacement was thus due to the total elasticity of the mechanical
configuration in which the displacement was imposed through elastic
components (i.e., the microneedle, the single strands, and the linker
arm). When the opening fork did not progress as fast as the mechanical
displacement, elastic energy was stored and subsequently released when
the opening fork progressed more quickly. This "molecular
stick-slip" has been analyzed in more detail elsewhere (39).
We found that the force level necessary to trigger the opening (maximum
amplitude of a given sawtooth) along the sequence increases with the GC
content of the peak that blocks the progression. These triggering
events were observed here in the 40-60% range; a linear fit in that
domain of the force vs. GC% gave a rough estimate of 15 pN for opening
a 100% GC sequence and 10 pN for a 100% AT sequence.
We report in this work a direct measurement on the forces involved
in the unzippering of a long segment of DNA. The mechanical forces
involved in the strand separation were in the range of 10-15 pN and
were shown to be sequence-dependent. The opening was shown to proceed
in a nonhomogeneous manner, and this effect was related to the sequence
and the elastic nature of the mechanical configuration. This
unzippering occurred away ( The experiments reported here were
performed in the range of 20-40 nm/s, which correspond to an average
speed of opening of A previous study with Atomic Force
Microscopy was directed toward the measurement of the force necessary
to break a base pairing (21). An Atomic Force Microscopy tip was coated
with a type of nucleotide (A or C), and a surface was coated with A, T,
G, or C. A separation force of 54 pN was reported for a single AT base
pair. Our results were much smaller ( Force separation of DNA oligomers have been measured also with
Atomic Force Microscopy by shearing apart opposite extremities (23).
Using repetitive sequences (ACTG)n of variable length hybridized to
complementary oligonucleotides, breaking forces of Strand separation may
be obtained in vitro through melting. This well known
helix-coil transition (26, 27) may be obtained by destabilizing the
double helix with respect to the single strands. This may be obtained
by raising the temperature or by using denaturing agents or low levels
of salt or other methods. For the reassociation of separated single
strands of nucleic acid to form a double-stranded structure, the
dynamics are simple for short length and more complex for long
segments. Once a nucleus of 3-4 bases has been formed, rates of
zippering have been estimated (28, 29) to be in the typical range of
106-2.107 bp/s for short
oligoribonucleotides. This rate was found to be temperature and
length-dependent. For larger molecules, it is known that melting occurs
through the formation of bubbles (30-32). As the destabilization
parameter is raised, bubbles form in specific sites of the sequence and
invade progressively the more stable regions. Using phage T2 or T7 DNA,
a complex dynamic is observed to reach equilibrium (33), and this
effect has been associated with the rotation of the molecule that has
to occur as melting progresses. The experiment described in the present
paper may be considered a "directional melting" of the helix. In
this latter case, the opening was performed at ionic and temperature
ranges at which no melted bubble was present. An interesting open
question, from both experimental and theoretical points of view, is
whether there is a simple relation between the formation of bubbles at higher temperature (i.e., collective phenomena of melting at zero force) and the zones of sudden mechanical unzippering.
From our
results, the opening of 1 bp results in an average length
l0 liberated of order 1 nm. An estimation of the
characteristic energy Opening the
double helix by pulling on the single strands generates rotation in the
strands. This was already noted by Levinthal and Crane (5). In our
case, one expects that the single strands either do not transmit
rotation or will be able to rotate on their axis with little
resistance. The double-stranded tail of the molecule had to rotate to
relax the torsion imposed by the separation process. The opening of the
48,502 bp of The
following picture emerges for the characteristic forces involved with
dsDNA: Breaking of the double strands has been reported to occur at a
force level (36, 37) of Genomic DNA analysis
is presently an indirect and laborious process. At the level of single
base resolution, sequencing involves stretches of
Biophysics
Mechanical separation of the complementary strands of DNA
DNA. The 3
and 5
extremities on one end of the molecule are pulled progressively apart,
and this leads to the opening of the double helix. The typical forces
along the opening are in the range of 10-15 pN. The separation force
signal is shown to be related to the local GC vs. AT content along the
molecule. Variations of this content on a typical scale of 100-500
bases are presently detected.
12 N]). For this reason,
sensitive measuring devices (14-17) such as optical tweezers, soft
micro-needles, or levers of atomic force microscopes have been used.
-phage DNA, each
comprising 48.5 kb. The DNA to be opened is DNA-1, and the linker arm
is DNA-2. Oligonucleotides are used to connect DNA-1 and DNA-2 and to
introduce attachment points via a digoxigenin group and a biotin group.
The other extremity of DNA-1 is capped with an oligonucleotide forming
a hairpin (18) (oligo-4), which prevents the separation of the two
strands when reaching the end of the opening process. This allows
repeated cycles of opening and closing.
Fig. 1.
The molecular construction. The DNA to be opened
(DNA-1) and the linker arm (DNA-2) are comprised of double-stranded
-phage DNA (or occasionally of multimers of double-stranded
-phage DNA). Oligonucleotides (thick lines) are used to introduce
the biotine and dig attachments and to connect covalently DNA-1 and
DNA-2.
[View Larger Version of this Image (13K GIF file)]
-DNA from Pharmacia and oligonucleotides
from Pharmacia or Genset (Paris). The 12-base single-strand segments
(Cos end) that protrude at the 5
ends of linearized
DNA are used
to assemble the construction.
-Agg TCg CCg CCC-3
and 5
-ggg Cgg CgA CCT-3
We have chosen the following sequences for the oligonucleotides:
-Agg TCg CCg CCC AAg ggA CTA CgA gAT Tg-3
(29 mer); Oligo2,
5
-Agg TCg CCg CCC CAA TCT CgT AgT CCC AAA AAA TCA gCA gTA AC
Biotine-3
(3
biotinylated 44 mer); Oligo3, 5
-ggg Cgg CgA CCT
digoxigenin-3
(3
digoxigenin 12 mer); and Oligo4, 5
-ggg Cgg CgA CCT
AgC gAA AgC T-3
(22 mer).
-DNA (in the
linker arm or in the DNA to be opened).
= 2.9 µm;
Dynal, Oslo). The experimental set-up for the mechanical unzippering of
DNA is presented schematically in Fig. 2. The bead was attached to a
glass microneedle (19) (treated with biotin), which was introduced
through the free meniscus and was positioned by an xyz
micromanipulator. The microneedle served as a force sensor, i.e., the
deflection of the tip of the microneedle was monitored under a
microscope as a function of the lateral displacement of the surface.
The microscope was custom-built (objective Zeiss Achroplan, oil
immersion × 100, N.A. 1.25), and images were collected by a black
and white CCD camera [Cohu (San Diego) model 4912-5100] attached to
the microscope. The images were recorded on an S-VHS VCR [Panasonic
(Secaucus, NJ) model AG-7355]. Using a digital image acquisition
board, the tip deflection of the microneedle was extracted either
on-line from the live video images or off-line at higher resolution
from the video tape, which will be described later. A custom-built
translation stage, based on a combination of a motor and a piezo unit
(Physik-Instrumente, Waldbronn, Germany, 50-µm range) allowed coarse
and fine lateral motion of the well. This motion was measured with
submicron resolution by an inductive gauge connected to a 6.5-digit
voltmeter. Data were transferred via a general purpose interface bus to
a PC.
Fig. 2.
Principle of the force measurement in which a
double-stranded
-DNA is forced open as the surface is displaced to
the left. (Inset) A plastic ring is glued to the
microscope slide that is coated with antidig. This well was placed on
an inverted microscope. The microneedle was introduced through the free
meniscus.
[View Larger Version of this Image (28K GIF file)]
-aminoethyl)-
-amino-propyltrimethoxysilane (Pierce) followed by reaction with
succinimidyl-6-(biotinamido)hexanoate]. The tip of a treated
microneedle stuck readily to the streptavidin-coated microbeads upon
touching them with the tip. After a measurement, the beads could be
removed by a mechanical shock on the microneedle or by using a meniscus
effect (simply taking the microneedle out and then putting it back into
the liquid).

Rv where
is the viscosity of the buffer and R is the radius of the bead). From both sets of measurement (microneedle deflection vs.
bead-to-magnet distance and bead velocity vs. bead-to-magnet distance),
we derived the force-deflection curve and hence the stiffness of the
microneedle. A single microneedle (with a stiffness of 1.7 pN/µm ± 20%) was used throughout all experiments
presented here.
70 pN obtained for that
plateau are consistent with the values reported in the literature.
= 2.9 µm, streptavidin-coated) were introduced, sedimented, and
reacted with the biotinylated extremity of the molecular
constructions. After 1 h of incubation, a large part of the
unattached beads was removed by dipping transiently a small rare earth
magnet. Dilutions and incubation times were adjusted so that tethering events were rare, and tethering of a bead with two constructions was
negligible. Typically, 10-30 beads were observed within the field of
view under the microscope with a ×20 objective after removing the free
beads. A variable fraction of the beads was stuck to the surface, and a
fraction was tethered (as seen by imposing a weak flow in the well;
they displaced by
16 µm and then stop). The characteristic tether
length (16 µm) was understood as corresponding to the length of the
linker arm, and this implied that DNA-1 was not opened by the forces
associated to the flow.
A First Analysis at Low Resolution.
DNA with a length of 32 µm. The
horizontal axis of Fig. 3 is the displacement minus the deflection;
this is intended to correspond to the "end-to-end distance"
between the two anchor points of the molecular construction. Point A
corresponds to the initial attachment at zero force and zero
displacement. The segment A-B-C corresponds to the extension of the
linker arm against the entropic forces; the regime described by Smith
et al. (6, 7) on the stretching of a single DNA double
helix is qualitatively recovered.
Fig. 3.
Force (deflection of the calibrated microneedle)
as a function of the end-to-end distance while displacing the well at
an average velocity of 40 nm/s. The end-to-end distance is defined as
the displacement of the well minus the deflection of the microneedle. The linker arm is a dimer in this particular measurement, and the rise
of force thus occurs
32 µm, i.e., twice the crystallographic length of
-DNA. The quasi-plateau C to D corresponds to the opening of the double helix. Going back from D to A (not shown), the two single
strands reannealed, and a new measurement cycle could be engaged.
(Inset) GC content (GC%) averaged over 1000 bp along the sequence of
phage DNA from 1 to 48,502 bp.
[View Larger Version of this Image (22K GIF file)]
13 pN with variations of approximately ±1 pN and extending over
a total length of
50 µm. This quasi-plateau differs from the
observed transition (12, 13) of dsDNA under mechanical stretching
because the latter (i) occurs at a typical force level of
60-70 pN and (ii) extends only over
10 µm (for a
DNA), followed by a steep rise in force. In our experiment, a fine
structure was visible in the quasi-plateau and was reproducibly
obtained. Typically, for the first 20 µm (from
32 to 53 µm in
Fig. 3), the average force was 13 pN with fluctuations of ±0.5 pN. For the last 20 µm of the quasi-plateau (from
60 to 80 µm), the
average force was 12 pN with fluctuations of ±0.5 pN. In between (from 53 to 60 µm), a marked dip was observed.
90% of the tested
molecules in a given sample begin to open.
-DNA (20) was taken from the European
Molecular Biology Laboratory database. An averaged GC content curve
(GC%), as a function of base index, is presented in the inset of Fig.
3. The characteristic gross features of the GC% curve (average over
1000 bases) are a high GC% of
60% in the first 20,000 bases,
followed by a central notch and then a second part (28,000-48,000)
with a lower GC% of
40%.
1 µm (in a TE buffer at 150 mM NaCl) (12), a value consistent with the empirical relation determined above.

1" in opposition to the
preceding construction called "
"), the DNA-1 molecule has been
reversed, i.e., the opening is expected to occur from base index 48,502 to 1, rather than 1 to 48,502 in
. This was obtained with a
different set of oligonucleotides in which oligos 2 and 4 have their
Cos ends exchanged. A force measurement on this construction (with a
similar low resolution) gave a signal with the same features but in
reverse order (Fig. 4). This
underlines the idea that the forces we measured were indeed associated
to the mechanical opening of the double helix and that the signal (at
least at this level of resolution) was connected to the sequence.
Fig. 4.
Force vs. end-to-end distance obtained for
DNA. Only the part corresponding to the opening has been plotted
(a) and measured with the construction
(same as Fig.
3). (b) Signal obtained with the construction

1, in which the opening starts at index 48,502 rather
than 1; the plot has been reversed (opening occurs from the right to
the left on the figure) so that the signals obtained at a given
location of the sequence are superimposable. In c, the
direct superimposition of a and b is
presented.
[View Larger Version of this Image (18K GIF file)]
DNA. The
signal, i.e., the two parallel black strips (corresponding to the bead
position as a function of time) presents a line-to-line variation on a
short time scale corresponding to noise and a variation on a longer
time scale corresponding to the time-dependent force signal. The major
source of noise in the experiment is not Brownian motion but mechanical vibrations arising from seismic or acoustic perturbations. The noise is
partially removed by low-pass filtering, and the signal is extracted by
a thresholding procedure on the black/white contrast of the bead.
Presently, a resolution of about 50 nm is obtained for the deflection.
Fig. 5.
(1) Typical video image of the
bead and the microneedle under the microscope during the DNA opening.
The bead diameter is 2.9 µm. Some surface defects of the glass-slide
appear as scattered gray spots in the background. The well is being
displaced to the right, and the microneedle is bent to the right by the
molecule being opened. A single video line per frame, shown as dark
horizontal line, is sampled at a constant rate of 5 times per second.
From this, a spatio temporal image (2) is constructed.
The total time interval represented in 2 is 96 s
and corresponds to a displacement of the well of 1.9 µm (time
increasing linearly from top to bottom). The two parallel black stripes
rising from the bead image contain the information on the
time-dependent deflection. The displacement of the well appears in the
inclined faint gray stripes arising from the surface defects. The faint
lines that are vertical corresponds to fixed spots (dust/defects in
the optics and camera). In 3, we present the extracted force signal
corresponding to 2. In 4, the deflection vs. end-to-end
distance is plotted for the same region as in 3.
[View Larger Version of this Image (83K GIF file)]
14,000-19,000. The segment A-B corresponds to the Fig. 5.2. The
signal presents a succession of saw teeth with a distribution of
amplitudes and sizes. Those features are reproducible, e.g., when
opening again, a signal with about the same features at the same
positions and amplitudes is obtained. This reproducibility is better at
low speed (20 nm/s) and is presently not perfect, particularly for the smallest details. We believe that the mechanical vibrations of the
set-up are responsible for those imperfections. In a given sawtooth,
the signal is raising slowly at an approximately constant rate and then
drops suddenly. Because of this difference in time-scale, a rise
appears more "noisy" to the eye than a drop in force. To represent the force as a function of the end-to-end distance, the
displacement has to be turned into displacement minus deflection. In
the coordinates (deflection vs. end-to-end) shown in Fig. 5.4, a slow
rise is turned to a steeper slope, and a fast drop is turned into a
trajectory following approximately a line with a negative slope of
1
(because a large deflection is associated to only a small
displacement).
DNA appears in Fig.
6. The sequence is presented through the GC content averaged over 100 bases (thin, continuous, smooth line corresponding to a Gaussian weight with a full width of 100 bases at 1/e of the maximum). The correspondence that we determined
(1000 bases = 1 µm end-to-end distance) allows to present the
curves with a common horizontal axis. The sequence is presented from
5,000 to 15,000 in base index. It is shown clearly that the signal is
related to the sequence; most of the steep rises in the force signal
correspond to peaks in the GC% curve. We described earlier in this
article that the sizable segments of negative slope correspond to fast
motions. Peaks in the GC% thus appeared to block transiently the
opening until the force reached a level where the opening occurs
quickly over a long segment in the base index. When trying to adjust
the width of the averaging, a 50-base average gave more information
than the signal reflected; on the contrary, information contained in
the measured signal was lacking on a 200-base average. Thus, the
100-base average appeared to be a reasonable size to reveal the
triggering events; this does not mean, however, that the resolution was
100 bases because the signal after a trigger appeared to "surf
over," and some details of the sequence are ignored. As a different
way to define the sequence resolution given by the force signal, the
number of events in a total opening gave a typical density of one event
per 500 bases.
Fig. 6.
Comparison between the force signal and the
average GC content along a segment from 5000-15,000 bp of the sequence
of
DNA. Two curves are superimposed: (i) The smooth
curve is the GC% averaged over 100 bases (Gaussian weight with a total
width of 100 bases at 1/e of the maximum height) for the sequence of
-DNA. (ii) The second curve is the force measurement
(force vs. end-to-end distance) obtained by mechanical opening
(experimental points have been connected by lines).
[View Larger Version of this Image (19K GIF file)]
1 µm) from solid surfaces, hence there
was no disturbing influence due to solid molecule interaction.
20-40 bp/s. This is to be compared with
typical translocation velocities of 50-2000 bp/s observed with
processive replication or transcription enzymes. Mechanical opening
experiments at higher speeds were possible (up to hundreds of base
pairs per second) but were limited by the response bandwidth of the
microneedle. As mentioned before, the force data were obtained during
the opening phase. Upon closing, we observed that the signal presented
a degree of nonreproducibility. Because the two single strands had to
reanneal in exact register, any local disturbance might have hindered
transiently the process. Such a hindrance might have been a local
out-of-phase reannealing, the formation of possible secondary
structures in the opened single strands, or the possible trapping of an
unattached DNA construction between the two branches of the Y of the
closing fork. Also, the reannealing to form the double helix imposed a rotation of the double-stranded part of the molecule; this possibly would be associated to a complex dynamics. Upon opening again, however,
a reproducible signal was obtained.
10 pN for an AT base pair). It
is possible that the values obtained by Boland and Ratner (21) were
strongly affected by the close presence of the solid surfaces. Also,
the rate of separation was much higher in the AFM experiment, and this
is expected to have influenced the measurement (22).
800 pN (for
12-base long oligonucleotides), 1200 pN (for 16 bases), and 1500 pN
(for 20 bases) have been reported. Again, our results showed much
smaller forces, and the results of Lee et al. (23)
(i) may include a strong coupling between bases because of
the shearing motion and (ii) were produced at a higher rate.
The mechanical opening of a long segment of dsDNA has been considered
only theoretically (5, 24, 25). In Viovy et al. (25), an
analysis was carried out assuming no thermal fluctuations. The
estimated force level of opening was 500 pN. In Thompson and Siggia
(24), the thermal fluctuations were taken into account, but the
sequence considered comprised only a succession of a unique base, e.g.,
poly A on one strand and poly T on the other.
0 associated with the opening
process of 1 bp is thus:
0 = f0 × l0 = 1.9 kcal/mol. This compares reasonably with the unpairing/unstacking free energies as deduced from melting studies (34, 35) (
1.5 kcal/mol for an AT pair and 3 kcal/mol for a GC
pair).
-DNA corresponded to more than 4000 turns (assuming
10.5 pairs per double helix turn). For a typical opening time of 20 min, this meant approximately four turns per second on the average. The
progression in the sequence, however, was nonuniform, and it was
expected that the large jumps would suddenly generate a lot of torsion,
probably inducing a transient coiling wave through the unopened part of
the molecule. In the preliminary analysis, when performing the
experiment at a speed of 20-40 nm/s, the characteristic time
associated to a sudden force drop (
1 s for 1 pN) was longer than the
time associated to the hydrodynamic friction of the microneedle (
70
ms for a force drop of 1 pN from the initial level of 13 pN). This may be associated to hydrodynamic drag of the double-stranded tail that
limited the rotational dynamics. An estimation of friction induced by
rotation had been considered in by Levinthal and Crane (5) but only for
the case of "speedometer cable" motion, i.e., when rotation is
not coupled to translation of any section of the molecule.
480 pN ± 20%; the structural transition of uncoiling upon stretching (12, 13) has been reported to
occur
60-80 pN; this transition has been compared with the similar
effect of DNA elongation induced by recA binding. Strand separation
(room temperature, 150 mM NaCl) is in the 10-15 pN range and is
sequence-specific (this work); nucleosome formation is estimated (38)
to be associated with forces in the range of a few picoNewtons; the
characteristic entropic force (6, 7) (as obtained by dividing the
characteristic thermal energy kT by the persistence length of DNA) is a
fraction of 1 pN. The experimental determination of the order of
magnitude of the forces involved in the mechanical unzippering of DNA
is a step toward a better understanding of forces involved in
replication, particularly for the action of helicases.
500 bases and
entails segmentation, cloning, and alignment of the contigs. In this
context, this work suggests that mechanical measurements could
complement enzymatic sequence analysis of DNA, giving an intermediate
scale information on long pieces of DNA.
*
To whom reprint requests and correspondence
should be addressed. e-mail: heslot{at}physique.ens.fr.
We thank H. Buc, M. Buckle, S. Casaregola, M. Dreyfus, P. Fournier, P. Levinson, P. J. Lopez, J. L. Sikorav, and E. Yéramian for helpful discussions and J. Alsayed (Genset) for information on oligonucleotides. U.B. thanks the European Union for financial support through the Training and Mobility of Researchers postdoctoral program. This work was funded in part by the Ministère de l'Education Nationale de l'Enseignement Superieur et de la Recherche (ACCSV-5 program). Laboratoire de Physique de la Matière Condensée is associated with the Centre National de la Recherche Scientifique (URA 1437) and the Universities Paris VI and VII.
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