Myosins are ATP-driven linear molecular motors that work as cellular force generators, transporters, and force sensors. These functions are driven by large-scale nucleotide-dependent conformational changes, termed "strokes"; the "power stroke" is the force-generating swinging of the myosin light chain-binding "neck" domain relative to the motor domain "head" while bound to actin; the "recovery stroke" is the necessary initial motion that primes, or "cocks," myosin while detached from actin. Myosin Va is a processive dimer that steps unidirectionally along actin following a "hand over hand" mechanism in which the trailing head detaches and steps forward ∼72 nm. Despite large rotational Brownian motion of the detached head about a free joint adjoining the two necks, unidirectional stepping is achieved, in part by the power stroke of the attached head that moves the joint forward. However, the power stroke alone cannot fully account for preferential forward site binding since the orientation and angle stability of the detached head, which is determined by the properties of the recovery stroke, dictate actin binding site accessibility. Here, we directly observe the recovery stroke dynamics and fluctuations of myosin Va using a novel, transient caged ATP-controlling system that maintains constant ATP levels through stepwise UV-pulse sequences of varying intensity. We immobilized the neck of monomeric myosin Va on a surface and observed real time motions of bead(s) attached site-specifically to the head. ATP induces a transient swing of the neck to the post-recovery stroke conformation, where it remains for ∼40 s, until ATP hydrolysis products are released. Angle distributions indicate that the post-recovery stroke conformation is stabilized by ≥ 5 k(B)T of energy. The high kinetic and energetic stability of the post-recovery stroke conformation favors preferential binding of the detached head to a forward site 72 nm away. Thus, the recovery stroke contributes to unidirectional stepping of myosin Va.
Myosins are ATP-driven linear molecular motors that work as cellular force generators, transporters, and force sensors. These functions are driven by large-scale nucleotide-dependent conformational changes, termed "strokes"; the "power stroke" is the force-generating swinging of the myosin light chain-binding "neck" domain relative to the motor domain "head" while bound to actin; the "recovery stroke" is the necessary initial motion that primes, or "cocks," myosin while detached from actin. Myosin Va is a processive dimer that steps unidirectionally along actin following a "hand over hand" mechanism in which the trailing head detaches and steps forward ∼72 nm. Despite large rotational Brownian motion of the detached head about a free joint adjoining the two necks, unidirectional stepping is achieved, in part by the power stroke of the attached head that moves the joint forward. However, the power stroke alone cannot fully account for preferential forward site binding since the orientation and angle stability of the detached head, which is determined by the properties of the recovery stroke, dictate actin binding site accessibility. Here, we directly observe the recovery stroke dynamics and fluctuations of myosin Va using a novel, transient caged ATP-controlling system that maintains constant ATP levels through stepwise UV-pulse sequences of varying intensity. We immobilized the neck of monomeric myosin Va on a surface and observed real time motions of bead(s) attached site-specifically to the head. ATP induces a transient swing of the neck to the post-recovery stroke conformation, where it remains for ∼40 s, until ATP hydrolysis products are released. Angle distributions indicate that the post-recovery stroke conformation is stabilized by ≥ 5 k(B)T of energy. The high kinetic and energetic stability of the post-recovery stroke conformation favors preferential binding of the detached head to a forward site 72 nm away. Thus, the recovery stroke contributes to unidirectional stepping of myosin Va.
Myosin is an ATP-driven linear molecular motor that produces force and unidirectional
movement along actin filaments. The “swinging lever arm” hypothesis
proposes that small nucleotide-dependent movements at the catalytic ATPase active
site are amplified by rotation of the myosin “lever arm,” or
“neck,” light chain–binding domain that extends from the motor
domain, or “head” [1],[2]. In the myosin chemomechanical cycle, the lever arm swing
that propels the myosin motor forward along actin is referred to as the “power
stroke” and is accepted as a general mechanism for myosin contractility. The
“recovery stroke” is the essential motion that primes, or
“cocks,” the lever arm in the pre-power stroke position while myosin is
detached from actin. These strokes are the basis for the physiological functions of
all characterized myosin motors.Myosin Va is a cargo transporter in cells [3] that has two heads, each
connected to a long and relatively stiff neck [4] reinforced with six calmodulins
(Figure 1A). Myosin Va moves
processively along actin filament and takes unidirectional “steps” [5] in which it
alternately places its two heads in forward positions ∼72 nm away from a
previous binding site [6], analogous to human bipedal walking. A mechanism for
unidirectional stepping has been investigated and proposed as follows (Figure 1A). When a head is
detached off actin, the detached neck undergoes rotational Brownian fluctuations
around a free joint at the neck–neck junction [7],[8]. Although the fluctuations are
random [7],
the power stroke of the bound head [4],[9] tilts the neck via “lever action” and moves
the junction (i.e., the pivot point for the fluctuations) forward, thereby favoring
binding of the detached head to a forward site.
Figure 1
Observation of head–neck swing in monomeric myosin Va in the
absence of actin.
(A) Postulated recovery stroke during walking of intact myosin Va. Myosin Va
has two long necks (blue and green) reinforced with six calmodulin light
chains (small ellipsoids) and two catalytic heads (large ellipsoids) that
hydrolyze ATP. Walking (toward right) on an actin filament (magenta) begins
with binding of ATP to the trailing head to dissociate it from actin. The
leading neck (blue) then leans forward, powered by ATP hydrolysis
(presumably P release) in the leading head. The
unbound neck (green) fluctuates around the neck–neck junction until
the head binds to a site ∼35 nm ahead of the blue head. If the
head–neck angle takes post-recovery stroke conformation, the actin
binding surface properly orients to bind actin only when the head is brought
forward. (B) Observation system. The neck portion of monomeric
(single-headed) myosin Va is fixed on a small bead (diameter, 50 nm; almost
invisible) through his-tagged calmodulin(s) and anti-his antibody(s). A
streptavidin-coated bead duplex (diameter 290 nm; clearly visible) is
attached to the myc-tagged head through biotinylated anti-myc antibody. UV
irradiation of caged ATP produces ATP, which is quickly consumed by apyrase
in the solution. Nonspecific binding of the neck portion to the small beads
occurred as well. (C) A time course of bead swings in response to UV flashes
(orange vertical lines) of 0.1-s duration at 100% intensity. Dark
blue dots with a gray line, angular positions at 33-ms intervals (video
frame rate); cyan, average angles before UV irradiation (pre-recovery stroke
state); yellow after irradiation (post-recovery stroke state). Arrow heads,
UV uncoupled swings. Dwell time for hypothesized two states are basically
determined such that ratio of the two dwell times between each UV
irradiations is the highest.
Observation of head–neck swing in monomeric myosin Va in the
absence of actin.
(A) Postulated recovery stroke during walking of intact myosin Va. Myosin Va
has two long necks (blue and green) reinforced with six calmodulin light
chains (small ellipsoids) and two catalytic heads (large ellipsoids) that
hydrolyze ATP. Walking (toward right) on an actin filament (magenta) begins
with binding of ATP to the trailing head to dissociate it from actin. The
leading neck (blue) then leans forward, powered by ATP hydrolysis
(presumably P release) in the leading head. The
unbound neck (green) fluctuates around the neck–neck junction until
the head binds to a site ∼35 nm ahead of the blue head. If the
head–neck angle takes post-recovery stroke conformation, the actin
binding surface properly orients to bind actin only when the head is brought
forward. (B) Observation system. The neck portion of monomeric
(single-headed) myosin Va is fixed on a small bead (diameter, 50 nm; almost
invisible) through his-tagged calmodulin(s) and anti-his antibody(s). A
streptavidin-coated bead duplex (diameter 290 nm; clearly visible) is
attached to the myc-tagged head through biotinylated anti-myc antibody. UV
irradiation of caged ATP produces ATP, which is quickly consumed by apyrase
in the solution. Nonspecific binding of the neck portion to the small beads
occurred as well. (C) A time course of bead swings in response to UV flashes
(orange vertical lines) of 0.1-s duration at 100% intensity. Dark
blue dots with a gray line, angular positions at 33-ms intervals (video
frame rate); cyan, average angles before UV irradiation (pre-recovery stroke
state); yellow after irradiation (post-recovery stroke state). Arrow heads,
UV uncoupled swings. Dwell time for hypothesized two states are basically
determined such that ratio of the two dwell times between each UV
irradiations is the highest.This mechanism explains how a detached head can access a forward site, but not why it
binds preferentially to a forward site 72 nm away as opposed to other accessible
sites as, for example, a site adjacent to the bound head. For a detached head to
bind actin, the actin-binding site of myosin must be properly oriented with respect
to the actin filament. Therefore, since the position of the neck–neck junction
relative to the actin filament is constrained by the bound neck, the orientation
(angle) and stability of the detached head relative to its neck (head–neck
angle) dictate the binding site along a filament. The detached head orientation is
determined by the recovery stroke that occurs after ATP-induced detachment from
actin. If the role of the recovery stroke were just to prime myosin, the
head–neck angle could fluctuate significantly. This could allow for the
unbound head to bind to a site near or adjacent to the bound head as well as to a
site 72 nm away with similar frequency. Such a distribution of the step size,
however, has never been observed in the absence of applied external load [5],[6],[10]. Therefore,
another mechanism must exist.We anticipated that the recovery stroke plays a critical role in orientating the
unbound head so that binding to a ∼72-nm forward site occurs preferentially
[11],[12]. In addition, it
has been reported that myosin Va moves forward under ∼2 pN of backward load
[5],[10] which would bring
the junction back beyond the neutral position [13] or reverse the power stroke
[14], and
cancels the bias introduced by the attached head power stroke. The additional role
of the recovery stroke above can be another bias for forward stepping even in the
presence of the load. Thus, the properties of the recovery stroke are critical for
the myosin Va stepping mechanism.Several recent structural and kinetic studies have demonstrated the existence and
implications of the myosin recovery stroke. High-resolution crystal structures of
muscle myosin II [15] identified different nucleotide-dependent head–neck
angles in the absence of actin; these are thought to correspond to pre- and
post-recovery stroke angles. Bulk Förster resonance energy transfer assays of
myosin II revealed two [16] or three [17] nucleotide-dependent (averaged) transient angle
distributions. In addition, electron microscopic analysis of myosin Va [18] showed two
different orientations (i.e., projection angles) of heads relative to the neck,
depending on the nucleotide in solution. These observations have contributed to a
general model in which ATP binding triggers the recovery stroke, and phosphate
(P) release after hydrolysis leads to
relaxation of the recovery stroke (i.e., generation of the power stroke). However,
the energetic and kinetic angle stability of the pre- and post-recovery stroke
conformations of myosin (Figure
1A) and the manner in which they contribute to actin binding specificity
during processive stepping of myosin Va remains unknown.We present in this study, to the best of our knowledge, the first direct observations
of the myosin recovery stroke (angle change at head–neck junction) in real
time and at the single molecule level. We developed a novel light-induced
ATP-concentration controlling system and single motor molecule assay that enables
the direct observation of the nucleotide-dependent dynamics and fluctuations of the
myosin motor domain. Our observations and analysis indicate that the myosin Va motor
conformation adopted after the recovery stroke is kinetically and energetically
stable, which allows for the detached head to bind preferentially to a forward site
72 nm away, thereby providing the grounds for biased forward stepping of myosin Va
along actin filaments.
Results
Direct Real-Time Observation of Head–Neck Swing in Myosin Va
We constructed an optical microscope observation system (Figure 1B) to directly visualize in real time
the nucleotide-dependent swings (i.e., strokes) and fluctuations of the myosin
head–neck angle using an engineered monomeric (single-headed,
“S1-like”) myosin Va (Figure S1). We anticipated that a monomeric
myosin Va molecule with a 50-nm bead (gray) attached at its neck (configuration
depicted in Figure 1B) would
permit transient swinging of a 0.29-µm bead duplex (cyan) attached to the
distal head region. To determine how the head orientation, assayed from the bead
position of the 0.29-µm bead duplex, responds to ATP, we included 200
µM caged ATP and 1.7 mU µl−1 apyrase in the
solution, such that ultraviolet (UV) irradiation generated an ATP transient that
was rapidly removed (hydrolyzed to AMP) by the apyrase with a time constant of
2–3 s (Figures S2 and 2B). We imaged a duplex (or a larger aggregate) of beads, and
initiated a full-intensity (∼2 nW µm−2, defined as
100%) UV pulse for 0.1 s that yielded a peak ATP concentration
([ATP]peak) of ∼2 µM (Figure S2).
Approximately 0.1% of duplexes made a distinct angular (>30°
judged in real time) swing within several seconds of the UV flash. Such a low
frequency is not unexpected given the low probability of an unobstructed
configuration, as illustrated in Figure 1B (drawn to scale in Figure S4).
Figure 2
Generation of quasi-stationary [ATP] by patterned UV
irradiation and its confirmation by the rotary motor
F1-ATPase (GT mutant).
(A) UV irradiation pattern: one 0.3-s flash followed by 0.05-s flashes at
0.5-s intervals. (B) A rotation time course under indicated UV
intensities (orange shading indicates UV flashes). The decelerations
after the termination of UV irradiation could be fitted with an
exponential as in Figure S2B, with an average decay
time for ATP depletion of 3.1±0.5 s, which is similar to that in
the case of native myosin Va (Figure S2). (C) Estimated
quasi-stationary concentrations of ATP generated under the patterned UV
irradiation at indicated intensities. The average rotation speeds in
Figure S3B were divided by the slope in Figure
S3C. The results are grossly consistent with Figure
S2, which indicates the generation of ATP at ∼20 µM
s−1 at 100% UV: under the irradiation
pattern in (A) with the duty ratio of 0.1 (0.05 s/0.5 s), the rate of
ATP generation would be ∼2 µM s−1, and thus
division with the ATP depletion rate of 1/(2–3 s) would predict a
steady-state [ATP] at 100% UV of 0.7–1
µM.
Myosin Va predominantly adopts two distinct conformations during an experiment: a
resting angle in the absence of ATP (i.e., before UV irradiation; cyan in Figures 1C, 3A, and S5) and a
metastable angle (yellow) accessible only after ATP generation (save rare
excursions driven by Brownian fluctuations), interpreted as the post-power
stroke and pre-power stroke conformations of myosin Va, respectively.
Figure 3
Quantitative measurement of ATP dependence of head–neck
swing.
(A) A time course of bead swings induced by patterned UV irradiation
(orange shading; see Figure
2A) that would produce a nearly constant [ATP] of
∼0.4 µM (at 14% intensity), 0.17 µM (at
4.4%), or 0.037 µM (at 0.7%) (Figure 2C). Color-coded as in Figure 1C. (B) The
apparent rate of ATP binding at different concentrations of ATP produced
by the patterned UV irradiation. The inverse of the time elapsed before
a swing is plotted (averaged over 21, 15, and 28 swings in eight
molecules). Apparent rate constant (k
onATP,
app) is obtained by linear fitting.
A large fraction (∼50%) of the beads that swung returned to the
original angle in less than 2 min, and the UV-induced transient swings could be
repeated multiple (>2) times (Figures 1C and 3A; Video S1). We monitored 15 such duplexes (i.e., myosin Va molecules)
and analyzed a total of 121 swing–return pairs as detailed below. A subset
(∼20%) made two return swings and then detached from the surface or
remained immobile. The remaining ∼30% did not return or did not
respond to the second UV flash.Excursions to the post-recovery stroke “state” (see Figure 1C legend) are ATP (UV
flash)–dependent. Every UV irradiation lasting 0.1 s at 100%
intensity ([ATP]peak ∼ 2 µM) induced a bead swing
within a few seconds (0.78 s on average; 29 flashes in six molecules; e.g.,
Figure 1C). Shorter
and/or weaker irradiations yielded longer delays before a swing (Figure S5A and
S5B) or no bead swings. UV irradiation while the bead duplex was in
the post-recovery stroke state, in contrast, never induced a swing: 37 flashes
of 0.1- or 0.2-s duration at 100% intensity failed to induce bead
rotation in six molecules (Figure S5C). Thus, swings from the
pre-recovery stroke state are initiated and limited by ATP binding, and myosin
Va in the pre-recovery stroke state prior to a swinging event is free of bound
nucleotide.
Quantitative Measurement of ATP Dependence of Head–Neck Swing by Novel
ATP-Concentration Controlling System
To quantitate the ATP dependence of swings, we developed a new technique that
generates a nearly constant level of ATP in a chamber using caged ATP, which was
first applied to a biological system by Trentham and colleagues [19], and
evaluated the method using the rotary F1-ATPase (GT mutant) motor
[20]–[22] (Figure
S3A). Stepwise UV pulse sequences with pulse width modulation (Figure 2A) of varying
intensity (14%, 4.4%, and 0.7%) repeatedly generated
intensity-dependent rotations of a given F1-ATPase molecule (Figure 2B). Averaged traces of
rotations are smooth, indicating that the UV pulse sequences generate nearly
constant ATP levels in the sub-second time scale (Figure
S3B). Rotational rates in the presence of known [ATP] (Figure S3C)
yielded UV intensity–dependent ATP concentrations (Figure 2C). These calibrations for constant
ATP level allow us to analyze the kinetics of ATP-induced myosin Va
swinging.
Generation of quasi-stationary [ATP] by patterned UV
irradiation and its confirmation by the rotary motor
F1-ATPase (GT mutant).
(A) UV irradiation pattern: one 0.3-s flash followed by 0.05-s flashes at
0.5-s intervals. (B) A rotation time course under indicated UV
intensities (orange shading indicates UV flashes). The decelerations
after the termination of UV irradiation could be fitted with an
exponential as in Figure S2B, with an average decay
time for ATP depletion of 3.1±0.5 s, which is similar to that in
the case of native myosin Va (Figure S2). (C) Estimated
quasi-stationary concentrations of ATP generated under the patterned UV
irradiation at indicated intensities. The average rotation speeds in
Figure S3B were divided by the slope in Figure
S3C. The results are grossly consistent with Figure
S2, which indicates the generation of ATP at ∼20 µM
s−1 at 100% UV: under the irradiation
pattern in (A) with the duty ratio of 0.1 (0.05 s/0.5 s), the rate of
ATP generation would be ∼2 µM s−1, and thus
division with the ATP depletion rate of 1/(2–3 s) would predict a
steady-state [ATP] at 100% UV of 0.7–1
µM.In the myosin Va swing assay, we turned on the sequence at different UV
intensities (i.e., [ATP]) until a swing occurred (orange bars in Figures 3A and S5D). The
time before a swing was inversely proportional to the [ATP] (Figure 3B), yielding an
apparent ATP binding rate constant of 2.5×106
M−1s−1, comparable to the value of
1.7×106 M−1s−1 measured
in solution (Protocol S1). These qualitative measurements strongly suggest
observed swinging events are those of functional myosin motors.
Quantitative measurement of ATP dependence of head–neck
swing.
(A) A time course of bead swings induced by patterned UV irradiation
(orange shading; see Figure
2A) that would produce a nearly constant [ATP] of
∼0.4 µM (at 14% intensity), 0.17 µM (at
4.4%), or 0.037 µM (at 0.7%) (Figure 2C). Color-coded as in Figure 1C. (B) The
apparent rate of ATP binding at different concentrations of ATP produced
by the patterned UV irradiation. The inverse of the time elapsed before
a swing is plotted (averaged over 21, 15, and 28 swings in eight
molecules). Apparent rate constant (k
onATP,
app) is obtained by linear fitting.
Kinetic Analysis of Post-Recovery Stroke State
Except for occasional, short reversals in the post-recovery stroke state (e.g.,
arrow heads in Figures 1C
and S6;
discussed below), the post-recovery stroke state is characterized by
exponentially distributed dwell times with an average of 40±4 s (standard
error) (Figure 4). Note that
the post-recovery stroke state is quite stable kinetically, particularly in
comparison to the stepping intervals of 60–80 ms at physiological
[ATP], during which P release is
accelerated by binding to actin [10],[23]. Our bulk, biochemical assays indicate that ATP is
rapidly (>100 s−1; [23]) hydrolyzed into ADP and
inorganic P is released with a rate constant of
∼0.02 s−1 (τ = ∼50 s) (Figure S7).
Measurements with a shorter-neck, 1IQ construct [23],[24] indicated a
P release rate constant of ∼0.02
s−1 and a subsequent ADP release rate of ∼1.2
s−1. Collectively, these measurements indicate that myosin
Va in the post-recovery stroke conformation has ADP and
P bound in its active site and that
P release limits the return swing (i.e.,
power stroke off actin), consistent with bulk Förster resonance energy
transfer assays with myosin II in solution [16] and electron microscopy of
myosin Va bound to actin [25].
Figure 4
Dwell times in the post-recovery stroke state.
The histogram for 109 swings (without an additional UV flash during the
post-recovery stroke state) in 15 molecules is fitted with an
exponential of the time constant 40±4 s (standard error).
Dwell times in the post-recovery stroke state.
The histogram for 109 swings (without an additional UV flash during the
post-recovery stroke state) in 15 molecules is fitted with an
exponential of the time constant 40±4 s (standard error).
Stability of Conformation in Post-Recovery Stroke State
The angular fluctuations in both the pre-recovery stroke and post-recovery stroke
states are well fitted to Gaussian distributions (Figures 5A and S8), with a
peak separation yielding an average swing amplitude (θswing) of
85°±19° (standard deviation [s.d.] for 15 molecules).
The measured amplitudes reflect projections in the image plane, and thus the
actual amplitudes will differ if out-of-plane swinging occurred. However, the
observation that the appearance of most (∼2/3) of the bead amplitudes is
independent of the swing angle (e.g., Figure 5B), as confirmed by the constancy of
the axial ratio (Figure 5C),
indicates that the recorded swings used in the analysis were in a near
horizontal plane. Electron micrographs of myosin Va without actin show
comparable (∼90°) nucleotide-dependent angular changes [18], thereby
strengthening the interpretation that transitions between pre-recovery stroke
and post-recovery stroke conformations of myosin Va are being observed.
Figure 5
Swing angles.
(A) Angle (θ) distribution for a swinging bead aggregate (time
course in Figure S5A). Black indicates all
frames; cyan indicates pre-recovery stroke state; yellow indicates
post-recovery stroke state. Lines show Gaussian fits:
exp[−(θ −
θm)2/2σ2] where
θm is the mean angle. (B) Sequential images
(1.8-µm square) at 33-ms intervals of the aggregated beads in
three swings. The whole time course is analyzed in (A). (C) The axial
ratio (long/short axis) of the bead image in (B), analyzed over the
whole time course in Figure S5A. Cyan indicates
pre-recovery stroke state; yellow indicates post-recovery stroke state;
dark blue indicates during swings. Cyan and yellow dots are shown for
every ten video frames for clarity.
Swing angles.
(A) Angle (θ) distribution for a swinging bead aggregate (time
course in Figure S5A). Black indicates all
frames; cyan indicates pre-recovery stroke state; yellow indicates
post-recovery stroke state. Lines show Gaussian fits:
exp[−(θ −
θm)2/2σ2] where
θm is the mean angle. (B) Sequential images
(1.8-µm square) at 33-ms intervals of the aggregated beads in
three swings. The whole time course is analyzed in (A). (C) The axial
ratio (long/short axis) of the bead image in (B), analyzed over the
whole time course in Figure S5A. Cyan indicates
pre-recovery stroke state; yellow indicates post-recovery stroke state;
dark blue indicates during swings. Cyan and yellow dots are shown for
every ten video frames for clarity.Both the pre-recovery and post-recovery stroke conformations display considerable
conformational flexibility, as indicated by the standard deviation of the
angular fluctuations (Figures
5A and S8). The magnitudes of fluctuations in both
states are comparable, with the Gaussian width (s.d., σ) averaging
24°±10° (s.d. for 15 molecules;
σ
pre/θswing = 0.29±0.09)
for the pre-recovery stroke conformation and 26°±9°
(σ
post/θswing = 0.31±0.10)
for the post-recovery stroke conformation. These observed fluctuations include
contributions from flexibility in the myosin–bead junctions as well as
experimental image noise, so they represent an upper limit, with actual angle
fluctuations being smaller.The Gaussian width of the thermally driven fluctuations (σ) measured here,
with the equipartition principle [26],where
k
B
T (4.1 pN•nm) is thermal
energy and k is the myosin Va head–neck joint stiffness
(spring constant), allows us to determine the spring constants,
k
pre = 23
pN•nm•rad−2, and
k
post = 20
pN•nm•rad−2
.With this spring constant, the energy required for bending of the head in the
post-recovery stroke conformation to the pre-recovery stroke conformation (i.e.,
the energy needed to bend the spring by θswing) expressed in
terms of the elastic potential energy
(E),is
5.2 k
B
T. The post-recovery stroke
conformation is stabilized at least to this extent: because the experimental
σ in equation 1 includes the fluctuations of other components described
above, the spring constant k for the head–neck junction
must be underestimated, and thus the energy difference, E, of
5.2 k
B
T between pre- and
post-recovery stroke conformations is a lower limit.There were occasions where we observed momentary swings back to the pre-recovery
stroke angle in the post-recovery stroke state (e.g., arrow heads in Figures 1C and S6). These
are unlikely to be purely Brownian excursions, because the bead tended to remain
at the pre-recovery stroke angle for a second or longer. A natural return
followed by immediate ATP binding that would induce a second swing is also
unlikely, because [ATP] must be negligibly low and these momentary
swings happened irrespective of the time after UV irradiation. The observed
momentary returns may represent reversal of the reaction responsible for the
swing to post-recovery stroke conformation, ATP hydrolysis [23], or subsequent myosin
isomerization [16]. We note that the return frequency in the absence of
drag from the attached beads could possibly be higher.
Discussion
A Role of the Recovery Stroke in Myosin Va Unidirectional Stepping
The natural assumption is that the detached head accessing a forward site in the
post-recovery stroke conformation will have its actin binding site properly
oriented for productive binding to actin (Figure 1A). Conversely, when the detached
head goes back to the post-recovery stroke conformation, the actin binding site
is predicted to be oriented incorrectly, thereby precluding actin binding (Figure 6A). The kinetic
stability of the post-recovery stroke state observed here indicates that this
proper head orientation is maintained for ∼40 s, much longer than the
stepping intervals. Even if the head in the post-recovery stroke state
accidentally touches a backward site at a moment when the head adopts a near
pre-recovery angle by fluctuation or momentary reversal, the binding should be
unstable by at least by 5 k
B
T
compared to forward binding. Thus, the kinetic and energetic stabilities of the
post-recovery stroke state together ensure forward binding of an unbound
head.
Figure 6
A role of angle stability after recovery stroke for myosin Va
unidirectional stepping.
Light-colored myosin Va makes forward stepping as in Figure 1A. Yellow dotted lines
indicate the head–neck angle of the post-recovery stroke
conformation. (A) Stability of the head–neck angle in the
post-recovery stroke conformation prevents the unbound head from binding
to an adjacent site of the bound head. (B) Stability of the
head–neck angle in the post-recovery stroke conformation prevents
the unbound head from binding to a backward site even in the presence of
backward load.
A role of angle stability after recovery stroke for myosin Va
unidirectional stepping.
Light-colored myosin Va makes forward stepping as in Figure 1A. Yellow dotted lines
indicate the head–neck angle of the post-recovery stroke
conformation. (A) Stability of the head–neck angle in the
post-recovery stroke conformation prevents the unbound head from binding
to an adjacent site of the bound head. (B) Stability of the
head–neck angle in the post-recovery stroke conformation prevents
the unbound head from binding to a backward site even in the presence of
backward load.Momentary binding of a head with incorrect orientation will be unstable from
intramolecular strain [11],[12]. Consistently, a quantitative model has shown that
the lever arm (neck) elasticity and its strain influence the position of the
next binding site on actin, therefore the detached head preferentially binds to
the forward site [27]. This model assumes that the unbound neck with bound
ADP–P rigidly takes post-recovery
stroke conformation, which we report here.The key for directional movement is to bias the completely random Brownian
rotations of a detached neck toward forward binding. The power stroke and its
angle stability of the attached rear head contribute approximately half of the
bias by moving the pivot for the Brownian rotation of the unbound neck forward,
which allows the detached head to access positions 36- to 72–nm distant on
an actin filament [4],[7] (Figure
1A). The remaining bias between positions ∼36 nm and ∼72 nm
from the detached site is provided by the recovery stroke and its stability.
Under a high backward external load, the power stroke would fail to produce a
bias: owing to the compliance in the neck and/or neck–head junction [13],[14], the
neck–neck junction would be pulled back to the neutral position,
immediately above the bound head (Figure 6B). Even under this circumstance, the bias by recovery
stroke still works, favoring forward binding. Therefore, for ∼72-nm discrete
unidirectional steps of myosin Va, the recovery stroke and its angle stability
of the detached head contributes to the bias, in addition to the power stroke
and its angle stability of the attached head. This mechanism may contribute to
transport cargos in a cell since some cellular components could be obstacles to
hinder the movement of cargo at times.An alternative mechanism has recently been proposed for myosin VI [28], which is
thought to function as a force sensor as well as a transporter [29]: stable
lead head binding is facilitated by a backward load on the head, and hence
internal strain between the two necks promotes forward binding of an unbound
head. Myosin VI is the only reverse motor known to date, moving in the direction
opposite to all other myosins studied so far. It is of interest to study whether
the other myosins, including myosin Va, also adopt a similar, strain-dependent
binding for forward bias.The stability of the post-recovery stroke conformation would also be important
for muscle myosin II, which can produce tension without contraction (isometric
tension) by repeatedly “scratching” actin. Forward binding is
required for efficient force production, but the base of the necks does not move
in this situation, and thus myosin II may rely entirely on the head orientation
being stabilized in the post-recovery stroke state. Other linear motors may also
rely on an effective swing to the post-recovery stroke conformation [11],[12].
Microscopic Observations with Constant and Changeable ATP Level for a
Variable Time
To study ligand-dependent motion of molecules, caged nucleotides (uncaged by UV
irradiation) have been combined with microscopic observations. UV pulse
irradiation allows one to trigger motion of the molecular motor and to clearly
show its nucleotide dependence [30],[31], and modulation of UV irradiation time allows one to
control motor velocity and total movement [32]. This assay design has the
advantage over conventional flow/mixing assays in that solution conditions
(e.g., nucleotide concentration) can be altered rapidly and with minimal
perturbation. However, caged nucleotide measurements have been limited to
kinetic analysis because the concentration of uncaged compound can change
significantly during the course of an experiment, particularly if consumed by
the system being examined (i.e., diffusion, enzyme–substrate interaction,
or apyrase). We have developed a new technique to keep ATP level constant in
which the concentration and time evolution can be modulated by light intensity
and irradiation time (Figures
2, 3A, S3, and
S5D).
This method for visualization of a nucleotide-linked conformational change in a
motor protein under the controlled delivery of ATP should be generally
applicable to ligand-induced conformational changes of macromolecules.
Materials and Methods
Materials
Monomeric Gallus gallus myosin Va truncated at Leu-909
(containing all six IQ motifs) with an N-terminal myc tag (EQKLISEEDL)
positioned directly replacing Met-1 and a C-terminal FLAG tag (DYKDDDDK) with a
single glycine linker (Figure S1) was co-expressed with Lc-1sa in
Sf9 cells and purified by FLAG affinity chromatography in the presence of excess
calmodulin as previously described [24],[33]. The calmodulins on the
expressed protein were exchanged for 6× his-tagged calmodulin, expressed
in Escherichia coli, as previously reported [34] and
modified [7]: the his-tagged calmodulin and monomeric myosin Va at
the molar ratio of 6∶1 were mixed and incubated for 10 min on ice in 20 mM
imidazole-HCl (pH 7.6), 4 mM MgCl2, 100 mM KCl, 0.04 mM EGTA,
0.5% (v/v) β-mercaptoethanol, and 400 µM CaCl2. The
reaction was terminated by the addition of 4 mM EGTA followed by >20 min
incubation on ice. Monomeric myosin Va carrying his-tagged calmodulin was mixed
with an anti-his monoclonal antibody (Clontech Laboratories) at the
antibody:myosin molar ratio of 17∶1 in buffer A (25 mM imidazole-HCl
[pH 7.6], 4 mM MgCl2, 100 mM KCl, 1 mM EGTA, 5 mM DTT), and
incubated at room temperature for >5 min to allow binding.
Swing Assay
A flow chamber, in all experiments under a microscope, was made of two coverslips
separated by two spacers of ∼100-µm thickness, and, after the last
infusion, the chamber was sealed with silicone grease or nail liquid. The
following infusions (2–3 chamber volumes), all in buffer A, were made with
1–2 min of incubation in between: 2 mg ml−1
unphosphorylated α-casein for surface blocking, buffer A for washing,
5.6% (w/v) 0.05-µm silica beads (Polysciences), buffer A for
washing, monomeric myosin Va (10 nM) complexed with anti-his antibody (for
binding to the silica beads through the antibody) or myosin Va alone without the
calmodulin exchange (for direct binding), 2 mg ml−1
unphosphorylated α-casein, 25 µg ml−1 biotinylated
anti-myc monoclonal antibody (Millipore), and buffer A for washing. Finally,
0.29-µm streptavidin-coated beads (Seradyn), washed three times by
centrifugation in buffer A, were infused together with 200 µM caged ATP
(Dojindo), 1.7 mU µl−1 apyrase (Sigma), 1.1 mg
ml−1 unphosphorylated α-casein, and 0.5% (v/v)
β-mercaptoethanol.The purpose of the anti-his antibody was to let it serve as a cushion between the
myosin neck and a silica bead so as to keep the myosin intact. Direct binding,
though, worked as well, and some results, e.g., in Figures 1C and S5A–S5C, were obtained with direct binding. In both cases,
most of the 0.29-µm beads on the surface were bound to the head of myosin
Va through a biotin–avidin linkage, because the bead density decreased
significantly without myosin, with non-biotinylated anti-myc antibody instead of
the biotinylated one, or by mixing excess biotin with the streptavidin-coated
beads before infusion. When we infused short actin filaments instead of the
0.29-µm beads, they attached (presumably) to myosin Va, and a flash of
100% UV light for 0.2 s released >97% of them from the surface
within a few seconds.
Microscopy
We used an Olympus IX70 microscope equipped with a 100× objective
(UPLSAPO100× O IR, N.A. 1.4, Olympus), a stable sample stage (KS-O,
ChuukoushaSeisakujo), a dual-view system [35] for simultaneous
observation of fluorescence and bright-field images [36], a regular epi-fluorescence
port, and an additional UV excitation port consisting of a mercury lamp, an
extension tube (IX2N-FL-1) that forms an intermediate (conjugate) image plane
outside the microscope body, and a computer-controlled shutter with 5-ms
open–close time (Uniblitz). Fluorescence of Alexa 488 was excited at
475–490 nm, and images at 500–535 nm were captured with an
intensified (VS4-1845, Video Scope) CCD camera (CCD-300-RCX, Dage-MTI).
Bright-field images (650–730 nm) were recorded with another CCD camera. UV
excitation (300–400 nm) for uncaging ATP was confined in a circle of
diameter ∼90 µm at the image plane. A mask was placed on the conjugate
plane in the extension tube such that the central ∼30-µm square in the
image plane did not receive UV light. The swing assay was always made near the
center of the masked area to protect myosin from possible UV damage, although we
found that direct UV irradiation at the maximum intensity (see below) for tens
of seconds did not affect the motile activity of myosin Va. The rotation speed
of F1-ATPase (for estimation of ATP concentration; Figures 2 and S3) did not
depend on the position in, and even outside, the masked area, and short actin
filaments bound to myosin Va were released by a UV flash with indistinguishable
kinetics at all positions. Note that oblique UV beams illuminated the solution
above the masked area except for the immediate vicinity of the coverslip
surface. To record correlation of events and UV irradiation, a part of the UV
beam was recorded with the intensified CCD camera above, or with the camera for
bright field at an edge of the image. The UV power was measured above the
objective lens, and the estimated intensity in the image plane was ∼2 nW
µm−2 for unattenuated (maximal) excitation (defined
as 100% intensity). Observations were made at 23 °C.
Image Analyses
The orientation of a bead duplex was determined as previously reported [7]. When
another bead came nearby, the orientation was judged by eye or abandoned.
Ellipticity of a bead image was estimated as the ratio of the long axis length
to the short one, calculated from the second moments of the intensity
distribution as
1/2/1/2
where x and y are pixel coordinates measured
along the long and short axes and with the origin at the image centroid,
I is the pixel intensity minus a threshold value, and
<> denotes averaging.
Estimation of UV-Generated ATP Concentrations
UV-generated ATP concentrations were estimated by both gliding bead assay for
native myosin Va and rotational assay for F1-ATPase (Protocol
S1).
Bulk Transient Kinetics Assays
ATP binding rate and P release rate of myosin Va
were measured using stopped flow apparatus (Protocol
S1).Myosin Va construct used in this study. Amino acid residues are
shown by single letters. Sequence numbers in parentheses refer to the
original full-length construct. Note that the second amino acid (Ala) in
chicken myosin Va is seen in a crystal structure [15], suggesting that the
N-terminus takes a stable conformation. Moreover, though only pre-recovery
stroke conformation has been solved by high resolution for myosin Va [15], for
myosin II, the N-terminal domain consists of a head (motor domain) that
takes distinct angle (∼70°) relative to the neck portion (lever arm)
in pre-recovery stroke and post-recovery stroke conformations [15].(JPG)Click here for additional data file.Estimation of UV-generated ATP concentration and its decay time by the
gliding bead assay. (A) Time courses of the gliding of a
myosin-coated bead on actin after a 100% UV flash for 0.1 s
(indicated in orange). Those beads that moved straight (because the actin
filament was straight on a surface) were selected for the analysis.
Different colors show different beads, dark blue being the average of all
records. (B) Displacement records averaged over five or more moving beads,
as in (A) (dark blue), in five different chambers distinguished by color.
The UV intensity was 100% and duration, 0.1 s. The time courses were
fitted with an exponential (smooth lines), giving an average time constant
of 1.8±0.3 s (s.d. for the five records shown) for the decay of
[ATP] by apyrase. (C) The initial ATP concentration generated by a
single UV flash of varying duration at 100% UV intensity. The initial
gliding velocity estimated from the exponential fit as in (B) was converted
to [ATP] by assuming that the native myosin Va carrying the bead
made 36-nm steps by binding ATP at the rate constant of
0.9×106 M−1s−1
[23]. A
linear fit (broken line) indicates that, at 100% UV intensity, ATP is
generated at a rate of ∼20 µM s−1. A separate set
of experiments (not shown) indicated that this rate is proportional to the
UV intensity between 0.7%–100%. Bars, standard
error.(JPG)Click here for additional data file.Generation of quasi-stationary [ATP] confirmed by the rotary
motor F (A) Observation system
(not to scale). The stator (gray; α3β3
subunit) is adsorbed on a glass surface, and a duplex of streptavidin-coated
beads is attached to the biotinylated rotor (black; γ subunit). (B)
Rotation of three molecules (a–c) under different UV intensities
(color-coded as in Figure
2B). Each molecule was subjected to different intensities
repeatedly as in Figure
2B, which is a partial record for molecule b, and each curve in
(B) represents an average of >6 rotation time courses obtained under the
same intensity. (C) ATP dependence of the rotational speed with regular ATP.
Bead duplexes that rotated relatively fast and smoothly were selected, and
the average speed over >20 contiguous revolutions (ten for one molecule
at 0.05 µM ATP) was determined. The apparent rate constant of ATP
binding, based on the assumed consumption of three ATP molecules per turn,
is 8.1 ( = 2.7 × 3)
µM−1s−1, comparable with the
values previously reported for this mutant (1.8
µM−1s−1 in a rotation assay, 4.2
or 6.8 µM−1s−1 for bulk ATPase
activity) [21],[22].(JPG)Click here for additional data file.Configuration of myosin and beads drawn to scale. Examples of
configurations in which large duplex beads can swing (A) and cannot swing
(B). Myosin (in green) is between two sizes of beads: other proteins shown
in Figure 1B are not
shown here. The myosin neck is immobilized on a small gray bead, and the
head is attached to a large blue duplex. Myosin binding to small and large
beads occurs by chance. Duplex bead swinging occurs only when conditions
under which the swinging beads do not collide with the surface are
satisfied: (i) myosin is on the top of the small bead, (ii) myosin is
properly oriented such that the swing plane is parallel to the surface, and
(iii) the long axis of duplex beads is almost parallel to a surface. These
conditions contribute to a low frequency of observed bead swinging.(JPG)Click here for additional data file.Head–neck swings of myosin Va under different UV irradiation
conditions. Dark blue dots with a light gray line indicate
angular positions of the beads on the head at 33-ms intervals (video frame
rate); horizontal cyan lines indicate average angles before UV irradiation
(pre-recovery stroke state); yellow lines indicate average angles after
irradiation (post-recovery stroke state). (A) Single UV flashes of different
powers. Vertical cyan lines indicate 100% intensity for 10 ms; yellow
indicates 25% for 10 ms; brown indicates 25% for 100 ms.
Compared to Figure 1C,
where a 100-ms flash at 100% intensity always induced a return swing,
short (10 ms) and/or weak (25%) flashes here often had to be applied
several times before a successful return swing was observed, indicating that
the swings depend on UV-generated ATP. (B) Continuous UV irradiation at
100% and 0.7% intensities for 2 s and 10 s, respectively.
Under 100% UV, a swing was observed at 0.74 s on average (seven
swings in three molecules), and under 0.7%, at 3.2 s (eight swings).
Under continuous irradiation, [ATP] would rise toward the
steady-state value of ∼50 µM at 100% (the generation rate
of ∼20 µM divided by the depletion rate of 1/[2–3
s]) or ∼0.4 µM at 0.7%, with the time constant of
2–3 s (Figures S2 and S3). The observed waiting times above are
thus consistent with ATP binding to myosin Va with the bimolecular rate
constant of 1.7×106
M−1s−1 measured in the stopped flow
apparatus (Protocol S1). (C) UV flashes (100%, 0.2 s) in the
post-recovery stroke state. None induced a swing back to the pre-recovery
stroke state. (D) Quasi-steady ATP levels generated by the patterned
irradiation in Figure 2A
at indicated intensities. This is another example of the experiment in Figure 3A.(JPG)Click here for additional data file.Momentary reversals to the pre-recovery stroke angle during
post-recovery stroke states. (A and B) Dark blue dots with a
light gray line indicate the angular positions of the beads on the head at
33-ms intervals (video frame rate); yellow indicates the average angle of
the post-recovery stroke state; cyan indicates the pre-recovery stroke state
before (left) and after (right) the shown post-recovery stroke state. These
are expanded parts of the time course in Figure 1C, around two arrow heads.(JPG)Click here for additional data file.Time course of fluorescence change after mixing 1.0 µM monomeric
myosin Va with 0.4 µM Mg-mantATP. The increase in
fluorescence represents mantATP binding. The reduction results from mantADP
release, which is limited by P release [23]. The
data (gray) represent an individual, unaveraged time course of fluorescence
change after subtraction of a baseline from mantATP photobleaching. The
smooth line (cyan) through the data represents the best fit and yields a
mantATP association rate constant of 1.57 (± 0.002)
µM−1s−1 and a
P release rate constant of 0.019
(± 0.001) s−1. A P
release rate constant measured with ATP was 0.028 (± 0.001)
s−1. These are consistent with our previous
measurements for a shorter neck construct (P
release, 0.02 s−1) [23].(JPG)Click here for additional data file.Distributions of bead angles in the pre-recovery stroke (cyan) and
post-recovery stroke (yellow) states. Black bars indicate whole
frames. These are additional examples of the analysis in Figure 5A. (A–E)
Distributions for Figures
1C, 3A, and
S5B–S5D, respectively. Lines show Gaussian fits:
exp[−(θ −
θm)2/2σ2] where
θm is the mean angle.(JPG)Click here for additional data file.Materials, gliding bead assay, F The detailed protocols are
described.(DOC)Click here for additional data file.Motion of an aggregate of beads (0.29 µm in diameter) attached to
the head of monomeric myosin Va. Contrast and brightness have
been modified (30 frames s−1). White bars that appear in
the left panel indicate UV irradiations. The video presents approximately
the interval 260 s to 370 s in the time course of Figure 1C.(AVI)Click here for additional data file.
Authors: Ahmet Yildiz; Joseph N Forkey; Sean A McKinney; Taekjip Ha; Yale E Goldman; Paul R Selvin Journal: Science Date: 2003-06-05 Impact factor: 47.728
Authors: Stan Burgess; Matt Walker; Fei Wang; James R Sellers; Howard D White; Peter J Knight; John Trinick Journal: J Cell Biol Date: 2002-12-23 Impact factor: 10.539