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Biophys J, June 2000, p. 3048-3071, Vol. 78, No. 6






*Kansai Advanced Research Center, Communications Research
Laboratory, Kobe 651-2492, Japan, and
National Institute
for Medical Research, London NW7 1AA, United Kingdom
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ABSTRACT |
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Single-molecule and macroscopic reactions of fluorescent
nucleotides with myosin have been compared. The single-molecule studies serve as paradigms for enzyme-catalyzed reactions and ligand-receptor interactions analyzed as individual stochastic processes. Fluorescent nucleotides, called Cy3-EDA-ATP and Cy5-EDA-ATP, were derived by
coupling the dyes Cy3.29.OH and Cy5.29.OH (compounds XI and XIV,
respectively, in Mujumdar et al. (1993
, Bioconjug. Chem. 4:105-111)) with
2'(3')-O-[N-(2-aminoethyl)carbamoyl]ATP
(EDA-ATP). The ATP(ADP) analogs were separated into their respective
2'- and 3'-O-isomers, the interconversion rate of which
was 30[OH
] s
1 (0.016 h
1 at
pH 7.1) at 22°C. Macroscopic studies showed that
2'(3')-O-substituted nucleotides had properties similar
to those of ATP and ADP in their interactions with myosin, actomyosin,
and muscle fibers, although the ATP analogs did not relax muscle as
well as ATP did. Significant differences in the fluorescence intensity
of Cy3-nucleotide 2'- and 3'-O-isomers in free solution
and when they interacted with myosin were evident. Single-molecule
studies using total internal reflection fluorescence microscopy showed
that reciprocal mean lifetimes of the nucleotide analogs interacting
with myosin filaments were one- to severalfold greater than predicted
from macroscopic data. Kinetic and equilibrium data of
nucleotide-(acto)myosin interactions derived from single-molecule
microscopy now have a biochemical and physiological framework. This is
important for single-molecule mechanical studies of motor proteins.
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INTRODUCTION |
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Measurement of the kinetics of an
enzyme-catalyzed reaction at the level of a single molecule in an
aqueous environment is a landmark in biophysics (Funatsu et al., 1995
;
Lu et al., 1998
; Nie and Zare, 1997
; Weiss, 1999
; Xie and Trautman,
1998
). The approach, based on observing the fluorescence of a substrate
or cofactor when bound to immobilized enzyme, lends itself in principle to the analysis of other biological mechanisms, such as ligand-receptor and protein-DNA interactions. The reaction chosen by Funatsu et al.
(1995)
was the hydrolysis of a fluorescent ATP analog by the motor
protein myosin. Over the past few years analysis of elementary steps of
individual myosin molecules has provided convincing evidence about the
nature of force development, motility, and work output in muscle and
nonmuscle cells (Finer et al., 1994
; Harada et al., 1987
, 1990
;
Ishijima et al., 1994
, 1998
; Kron and Spudich, 1986
; Mehta et al.,
1999
; Molloy et al., 1995
; Toyoshima et al., 1987
, 1990
; Uyeda et al.,
1990
; Veigel et al., 1999
; Warshaw et al., 1998
). An important reason
for analyzing nucleotide hydrolysis at the single-molecule level is
that it opens up new approaches to the study of mechanochemical energy
transduction in the myosin superfamily.
The advance made by Funatsu et al. (1995)
raises a number of points,
some of which are fundamental to the development of single-molecule studies for probing biological mechanisms. We need to know the extent
to which individual stochastic versus ensemble (i.e., macroscopic) observations lead to identical results. Is there unique information about enzyme mechanisms that can be obtained by studying single enzyme
molecules? Are there factors that derive from the state of the system
under investigation (e.g., filamentous versus solubilized myosin)? In
the single-molecule studies of Funatsu et al. (1995)
myosin was
adsorbed on a surface, while kinetic analysis of the myosin ATPase has
generally been carried out with water-solubilized protein; the
influence of the state of myosin therefore needs to be assessed. We
address these issues by comparing kinetics of reactions involving
myosin and fluorescent analogs of ATP in different systems. It is
important to use analogs that closely mimic properties of ATP in its
interactions with myosin and muscle, and therefore we have chosen to
introduce the fluorophore on the 2'- or 3'- hydroxyl group of the
ribose moiety of ATP (Alessi et al., 1992
; Conibear et al., 1996
; Cremo
et al., 1990
; Crowder and Cooke, 1987
; Ferenczi et al., 1989
;
Hiratsuka, 1983
, 1984
; Sowerby et al., 1993
; Tonomura, 1973
; Woodward
et al., 1991
). The fluorescent ATP analog used by Funatsu et al.
(1995)
, in contrast, was modified on the purine moiety of ATP, though
in more recent work this group has used ribose-modified ATP analogs
(Ishijima et al., 1998
). Replacing the 2'- or 3'-hydroxyl group with
probes has generally resulted in a mixture of compounds. If the link between the hydroxyl group and the probe is via a carboxylate ester
there is relatively rapid isomerization at neutral pH between the
resulting 2'- and 3'-O-esters of nucleotides (reviewed in Jameson and Eccleston, 1997
). We have resolved this by synthesizing carbamoyl esters and showing that their isomerization is sufficiently slow for individual isomers to be separated. It has thus been possible
to assess the effect of working with separated as opposed to mixed
isomers of ATP analogs.
It is frequently advantageous in single-molecule kinetic studies to
monitor at least two fluorophores. For example, besides detecting the
myosin-bound substrate, the position of the myosin molecule itself had
to be identified by Funatsu et al. (1995)
. Accordingly, we have used
two fluorophores and compared their properties in ATP analogs. Part of
the assessment involved measurement of their photobleaching properties.
This is a crucial parameter, as monitoring the disappearance of a
fluorophore from an enzyme bound to a surface is at the heart of many
single-molecule experiments, and the rate of fluorescence loss from the
surface due to photobleaching must be known. Like Funatsu et al. (1995)
and Kuhlman and Bagshaw (1998)
, we have used the sulfoindocyanine dyes
Cy3 and Cy5, developed by Mujumdar et al. (1993)
, which have large
extinction coefficients and are fluorescent in the long-wavelength
region of the visible spectrum.
The ability of Cy3 and Cy5 fluorescent ATP analogs to mimic ATP had to be tested in a variety of ways to assess their potential for energy transduction studies in muscle. This has been done through the delineation of the kinetics of elementary steps in the myosin- and actomyosin-catalyzed hydrolysis of the analogs in solution and the ability of the analogs to support muscle contraction and relaxation in permeabilized fibers, and by comparing their properties with those of ATP in in vitro motility assays.
Single-molecule kinetics have been monitored here, using the total
internal reflection fluorescence (TIRF) technique (Axelrod et al.,
1984
; Funatsu et al., 1995
). Conibear and Bagshaw (1996)
have applied
this approach, using myosin filaments adsorbed on a surface. We extend
TIRF studies of the myosin triphosphatase and analyze the interaction
between myosin and ADP analogs. The latter serves as a model for
ligand-receptor interactions. We have compared ensemble and
single-molecule triphosphatase studies of myosin and actomyosin
directly with the TIRF technique and assessed the influence of steric
interactions arising from binding of myosin filaments to a glass surface.
For these studies we have used the mixed isomers designated Cy3-EDA-ATP
1 and Cy5-EDA-ATP 2 and the corresponding diphosphates. The isomers of the Cy3-EDA-nucleotides have been separated and their structures assigned by NMR spectroscopy. This has
enabled us to determine how the properties of 2'- and 3'-substituted nucleotides differ. Preliminary results have been reported in abstract
form (Anson and Oiwa, 1997
, 1998
, 1999
; Eccleston et al., 1996
; Oiwa et
al., 1995
, 1996
, 1997
, 1998
, 1999
).
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MATERIALS AND METHODS |
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Chemicals
The monosubstituted cyanine carboxylic acids Cy3.29.OH and
Cy5.29.OH and their succinimidyl derivatives Cy3.29.OSu and Cy5.29.OSu were purchased from Biological Detection Systems (Pittsburgh, PA).
2'(3')-O-(N-Methylanthraniloyl)ATP (mant-ATP) was
synthesized and purified as described by Hiratsuka (1983)
and Jameson
and Eccleston (1997)
. Disuccinimidyl carbonate, dimethylformamide, ethylenediamine, high-performance liquid chromatography (HPLC)-grade acetonitrile, and pyridine were purchased from Aldrich Chemical Co.
(Milwaukee, WI). Triethylammonium bicarbonate (TEAB) buffer was
prepared by bubbling CO2 through an ice-cold
aqueous solution of redistilled triethylamine until the pH decreased to
7.6. All other reagents were of the highest available purity and were
used without further treatment.
Synthesis and characterization of 2'-O-Ac-EDA-ADP and 3'-O-Ac-EDA-ADP
One hundred micromoles of the triethylammonium salt of EDA-ATP
(2'(3')-O-[N-(2-aminoethyl)carbamoyl]ATP)
(Jameson and Eccleston, 1997
) was stirred in 20 ml aqueous 40 mM
NaHCO3 and N-acetylated by the
addition of 70 µl acetic anhydride. The reaction was maintained at pH
8.0 with solid NaHCO3 at 20°C for 5 min. The
mixed isomers were purified by DEAE-cellulose chromatography using a
TEAB salt gradient and rotary evaporation of solvent followed by
methanol evaporations to yield 26 µmol 2'(3')-O-Ac-EDA-ATP
as the triethylammonium salt. A sample was converted to its
Na+ salt for 1H-NMR
analysis (see below).
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6.27 (d, J = 4.3 Hz, H-1'), 5.47 (H-2'), 4.41 (H-4'). H-3' was not resolved from
the HOD peak. The 3'-O-ester had
6.16 (d, J = 7.4 Hz, H-1'), 5.36 (H-3'), 5.00 (H-2'), 4.54 (H-4'). Spectra were recorded in D2O at pD 6.9 with DSS (sodium 4,4-dimethyl-4-silapentane-1-sulfonate) as an internal reference.
Kinetics of isomerization between 2'-O-Ac-EDA-ADP and 3'-O-Ac-EDA-ADP
Pure 2'-O-Ac-EDA-ADP or 3'-O-Ac-EDA-ADP
obtained from the analytical reverse-phase HPLC column in 100 mM
KH2PO4/K2HPO4
at pH 5.5 was treated with 1 M
K2HPO4, Tris, or
Na2CO3 to bring the pH to
7.1, 8.4, or 9.4, respectively. These solutions were incubated at
22°C, and the isomerization rate was followed by quenching reaction
samples (acidification to pH 5.5) and HPLC analysis using the same
reverse-phase column. The isomerization was allowed to proceed to
equilibrium, and the equilibrium constant was calculated from the ratio
of the peak areas in the HPLC elution profile. When starting with
3'-O-Ac-EDA-ADP, kobs ( = k23+
k32)
(k23 and k32 are defined in Fig. 1) was
calculated from the slope of the linear plot of
ln(1
[2'-O-Ac-EDA-ADP]t/[2'-O-Ac-EDA-ADP]t
) against time, t. Because
k23/k32 = ([3'-O-Ac-EDA-ADP]t
/[2'-O-Ac-EDA-ADP]t
) (i.e., the
ratio of isomer concentrations at equilibrium),
k23 and
k32 could be calculated.
Synthesis of Cy3-EDA-ATP and Cy5-EDA-ATP
Cy3-EDA-ATP and Cy5-EDA-ATP were prepared by identical protocols
as described by Jameson and Eccleston (1997)
. Typically a succinimidyl
ester was formed from 4 µmol Cy3.29.OH or Cy5.29.OH and then
condensed with 20 µmol EDA-ATP. The reaction was followed by
thin-layer chromatography on silica plates (silica gel
60F254; Merck, Germany) in a solvent of
propan-2-ol:H2O:NH4OH
(7:2:1, v/v). Cy3.29.OH (or Cy5.29.OH) had an
Rf of 0.2 (0.3), with a minor impurity
at Rf 0.8 in both cases. The reaction
mixture containing crude Cy3-EDA-ATP or Cy5-EDA-ATP showed an intense
pink (Cy3) or blue (Cy5) spot remaining at the origin and the presence
of some Cy3.29.OH (or Cy5.29.OH) and other impurities. The presence of
a new spot remaining at the origin indicates ribose modification of
EDA-ATP by the fluorophore (Hazlett et al., 1993
). The reaction mixture
was purified on a DEAE-cellulose column (12 × 2 cm). The column
was washed with 10 mM TEAB (pH 7.6) at a flow rate of 0.6 ml
min
1 until no more pink (or blue) material was
eluted. Then a linear gradient of 10 mM to 0.8 M TEAB was applied
(total volume 600 ml). EDA-ATP eluted at 0.2 M TEAB, followed by a
major peak with absorbance maxima at 260 nm and either 550 nm (for
Cy3-EDA-ATP) or 650 nm (for Cy5-EDA-ATP) that eluted at ~0.4 M TEAB.
The appropriate fractions were pooled and evaporated almost to dryness
in vacuo. Residual triethylamine was removed by three additions and
evaporations of methanol. The final material was redissolved in water
and stored at
20°C. The ATP analogs were each obtained in 25%
yield based on the initial weight of Cy3.29.OH or Cy5.29.OH.
Characterization of Cy3-EDA-ATP and Cy5-EDA-ATP
The absorbance spectra of Cy3.29.OH and Cy3-EDA-ATP in 50 mM
Tris-HCl (pH 7.5) were recorded between 220 nm and 850 nm. Taking
for the Cy3 chromophore to be 150,000 M
1
cm
1 at 552 nm (Mujumdar et al., 1993
), a value
of 6950 (± 1400 limit of error range) M
1
cm
1 at 260 nm was measured for Cy3.29.OH.
Assuming that
of the Cy3 chromophore in Cy3-EDA-ATP remains
unchanged, and for adenosine,
is 15,200 M
1
cm
1 at 260 nm, the molar ratio of Cy3 to
adenosine in Cy3-EDA-ATP was calculated to be 1.04 (± 0.09) and is
good evidence that Cy3-EDA-ATP contains equimolar amounts of Cy3 and
adenosine. Corresponding values for Cy5-EDA-ATP were as follows:
= 250,000 M
1
cm
1 (Mujumdar et al., 1993
) and 8680 (± 2170)
M
1 cm
1 for Cy5.29.OH at
650 nm and 260 nm, respectively, and the molar ratio of Cy5 to
adenosine in Cy5-EDA-ATP was calculated from the absorbance spectrum to
be 1.15 (± 0.19).
These molar ratios depend on reliable
values of Cy3 and Cy5.
Furthermore, the reported value of
for Cy5.29.OH is exceptionally large, possibly exceeding the theoretical maximum for the intensity of
the electronic absorption transition (assuming no intermolecular interactions such as chromophore stacking; see Discussion).
Accordingly,
for Cy5.29.OH was remeasured and found to be
218,000
M
1 cm
1 at
max 650 nm in aqueous solution at pH 7, using a
dried and weighed sample of Cy5.29.OH. The value of 218,000 M
1 cm
1 is a lower limit
because any colorless impurities in our sample would make the measured
less than the true value. Except where noted otherwise,
is
taken to be 250,000 M
1
cm
1 at 650 nm (Mujumdar et al., 1993
).
The fluorescence emission spectra of Cy3.29.OH and Cy3-EDA-ATP were
identical, as were those of Cy5.29.OH and Cy5-EDA-ATP. Negative-ion
fast-atom bombardment mass spectroscopy for Cy3-EDA-ATP and Cy5-EDA-ATP
gave molecular ion peaks at m/z = 620.5 and
633.2, corresponding to doubly charged molecular masses (1241 and 1267) for (Cy3-EDA-ATP + K+)2
and (Cy5-EDA-ATP + K+)2
, respectively.
Cy3-EDA-ATP was characterized by HPLC with a diode array (220-600 nm)
or by 550-nm absorption for detection, using a reverse-phase column
(Nova-Pak C18, 150 × 3.9 mm; Waters). The
flow was 1.5 ml min
1, first isocratically for 2 min in 10 mM
KH2PO4/K2HPO4
at pH 6.8 and then with a linear gradient of 1% (by volume)
acetonitrile min
1 for 30 min. Cy3-EDA-ATP
eluted after 15.6 min. Neither Cy3.29.OH nor other nucleotides (<1%
level) were detected as contaminants. For Cy5-EDA-ATP conditions were
identical, except that detection was by 260- and 650-nm absorption.
Cy5-EDA-ATP eluted after 20.9 min. Cy5.29.OH (22.1 min) was a
contaminant (<3%) and was the major impurity; no other nucleotides
were detected (<1% level). Cy3 and Cy5 nucleotides were also
routinely monitored by fluorescence, using HPLC, which had at least
100-fold greater sensitivity than absorption.
Synthesis of the ATP analogs was confirmed by showing that they were substrates for myosin subfragment 1 and yielded products, subsequently characterized as ADP analogs (see below), that were easily resolved by analytical HPLC from their parent ATP analogs.
Cy3-EDA-ATP was also characterized by 1H-NMR
spectroscopy (500 MHz); its structure was fully consistent with the
1H spectrum. Ribose protons in the 2' and
3'-O isomers were identified based on ribose proton
assignments in 2'(3')-O-Ac-EDA-ATP (see above). Selective
TOCSY experiments (Xu and Evans, 1996
) were used to confirm assignments
in the isomer mixture by establishing the connectivity of ribose
protons in each isomer. The H-2' and H-4' peaks of
2'-O-Cy3-EDA-ATP and the H-1', H-2', H-3', and H-4' peaks of
3'-O-Cy3-EDA-ATP were well resolved. The H-1' and H-3' peaks
of the 2' isomer overlapped with peaks from the Cy3 group and water,
respectively. For 2'-O-Cy3-EDA-ATP the
1H-NMR spectrum had
5.48 (H-2') and 4.37 (H-4'), and 3'-O-Cy3-EDA-ATP had
6.10 (H-1'), 5.35 (H-3'), 5.00 (H-2'), and 4.46 (H-4'). The average intensity of the two
resolvable ribose protons of 2'-O-Cy3-EDA-ATP relative to
that of the four resolvable ribose protons of
3'-O-Cy3-EDA-ATP was 0.70. Thus the ratio of
3'-O-Cy3-EDA-ATP to 2'-O-Cy3-EDA-ATP was 1.43 in
the mixture, which was then shown to be at equilibrium by HPLC analysis
(see below).
Preparation of Cy3-EDA-ADP and Cy5-EDA-ADP
Cy3-EDA-ADP and Cy5-EDA-ADP were obtained by hydrolysis of the
corresponding triphosphate (8.5 µM Cy3-EDA-ATP or 10 µM
Cy5-EDA-ATP) catalyzed by rabbit skeletal muscle myosin (1 mg
ml
1) for 2 h in a stirred solution
containing 1 mM MgCl2, 0.2 mM dithiothreitol
(DTT), and 10 mM Tris-HCl at pH 7.0 and 4°C. Myosin was removed by
centrifugation, and the supernatant was stored at
20°C.
Cy3-EDA-ADP (100% yield) was analyzed by reverse-phase HPLC (Novapak
C18; 150 × 3.9 mm, 550 nm absorption) and
eluted isocratically with acetonitrile:aqueous 10 mM
K2HPO4/KH2PO4
at pH 6.8 (13:87 v/v) at 0.5 ml min
1.
Cy3-EDA-ADP eluted as two peaks (the putative 2'- and 3'-isomers) with
almost baseline resolution, with retention times of 21.5 and 25.2 min.
(In the same system Cy3-EDA-ATP eluted as a poorly resolved doublet
with retention times of 17.3 and 18.7 min.) Cy5-EDA-ADP (100% yield)
was analyzed using the same HPLC conditions but monitored by 650-nm
absorption. The isomers of Cy5-EDA-ADP eluted as a well-resolved doublet with retention times of 20.2 and 21.5 min. (Under these conditions Cy5-EDA-ATP eluted as a doublet with retention times of 17.5 and 18.2 min.)
Separation and isomerization of 2'-O-Cy3-EDA-ATP and 3'-O-Cy3-EDA-ATP
The isomers of Cy3-EDA-ATP were separated on a 10-nmol scale by
HPLC using the Nova-Pak C18 column with
absorbance detection at 550 nm. Samples were eluted isocratically at
1.5 ml min
1 in acetonitrile:aqueous 100 mM TEAB
at pH 7.4 and 22°C (1:10 by volume). The two isomers eluted as a
doublet (area ratio of 1:1.4) with peak retention times of 31 and 35 min. The solution from each peak was evaporated to dryness in vacuo,
and the solid was redissolved in water and stored at
80°C. Samples
from each peak were analyzed on the same HPLC column, but using
fluorescence detection (550 nm excitation, 565 nm emission). The first
peak, designated isomer I, was 100% pure, and the second peak, isomer II, was 97% pure (3% contamination by isomer I).
The intensity ratio of the fluorescence of the leading peak (isomer I)
to that of isomer II was 0.65. Noting that the fluorescence of isomer
II is 92% that of isomer I (see below), the molar ratio of isomer I to
isomer II is 0.65/0.92 = 0.71, showing that isomer I is
2'-O-Cy3-EDA-ATP and isomer II is
3'-O-Cy3-EDA-ATP. That the sample of 2'-O- and
3'-O-Cy3-EDA-ATP used in the NMR experiment had reached
equilibrium was checked by incubating the mixture at pH 10 and 22°C
for 3 h (estimated equilibration rate of 2.5 h
1; see Results) and analyzing by HPLC. The
fluorescence ratio of the 2'-O-Cy3-EDA-ATP peak to that of
3'-O-Cy3-EDA-ATP was identical (0.65) before and after the
incubation. This establishes that the sample analyzed by NMR was at
equilibrium and that, from the H' peak intensities, the equilibrium
constant (analogous to
k23/k32) for the Cy3 nucleotides is 1.43.
The equilibration rate of 2'-O-Cy3-EDA-ATP and 3'-O-Cy3-EDA-ATP isomers was measured at 20°C by the addition of 0.2 M 3-(4-morpholino)- propanesulfonic acid (MOPS) adjusted to pH 7.2 with aqueous KOH or by the addition of 0.5 M NaHCO3 adjusted to pH 9.6 with NaOH, and monitoring the reaction by HPLC. Whether isomerization occurs during hydrolysis catalyzed by myosin subfragment 1 was tested by incubating 5 µM 2'-O-Cy3-EDA-ATP with 100 nM subfragment 1 in 100 mM KCl, 5 mM MgCl2, 1 mM DTT, and 50 mM Tris adjusted to pH 7.5 with HCl at 20°C. After reaction times of up to 8 min, aliquots of the reaction mixture were quenched in acid and analyzed under the same HPLC conditions that also separated the two isomers of Cy3-EDA-ADP.
Preparation and separation of 2'-O-Cy3-EDA-ADP and 3'-O-Cy3-EDA-ADP
Cy3-EDA-ATP (31 nmol) was hydrolyzed to Cy3-EDA-ADP as described above. The hydrolysis was monitored by reverse-phase HPLC (as in Preparation of Cy3-EDA-ADP and Cy5-EDA-ADP). When all of the Cy3-EDA-ATP had been hydrolyzed to Cy3-EDA-ADP, the solution was applied to the HPLC column. The two peaks, the first of 2'-O-Cy3-EDA-ADP and the second of 3'-O-Cy3-EDA-ADP, were collected. A sample from each peak was analyzed by the same HPLC system; the 2' isomer was 100% pure, whereas the 3' isomer was 98% pure (and contained 2% 2' isomer). The remainder of each peak was evaporated to dryness in a Speedvac SVC100 (Savent) apparatus and then taken up in the original volume of water. The two solutions of Cy3-EDA-ADP isomers therefore each contained 10 mM potassium phosphate at pH 6.8.
Protein preparations
Rabbit skeletal muscle myosin and heavy meromyosin were prepared
essentially as described by Margossian and Lowey (1982)
, and myosin
subfragment 1 was prepared according to the method of Weeds and Taylor
(1975)
. F-actin was prepared from acetone powder by the method of
Pardee and Spudich (1982)
. For measurements in the microscope, F-actin
was stabilized against depolymerization at low concentrations with
phalloidin or, where visualization by fluorescence was required, with
rhodamine-labeled phalloidin (Faulstich et al., 1988
). Concentrations
of myosin, heavy meromyosin, and subfragment 1 were determined from
A280 nm values for 1 mg ml
1 of 0.53, 0.65, and 0.79 cm
1 respectively, and the concentration of
actin was determined from A290 nm
A310 nm of 0.62 cm
1.
Synthetic bipolar filaments of rabbit skeletal muscle myosin for TIRF
studies were prepared by slowly diluting a myosin solution, initially 1 ml at a concentration of 50 µg ml
1 in 0.5 M
KCl, 2 mM MgCl2, 1 mM DTT, and 10 mM
piperazine-N,N'-bis(2-ethanesulfonic acid) (PIPES) adjusted
with KOH to pH 7.0 at 4°C, into 7.5 ml of the same buffer but
containing 0.08 M KCl (Nagashima, 1986
). The myosin filaments were
further diluted in the same buffer to a final concentration of 2 µg
ml
1 for infusion into the microscope
observation chamber. Electron micrographs with negative staining showed
that the length of the filaments ranged from 1.6 to 3.2 µm with an
average of 2.6 ± 0.5 µm (mean ± SD, n = 83).
Labeling of myosin with Cy3.29.OSu and Cy5.29.OSu
To measure the photobleaching rates of Cy3 and Cy5 fluorophores
under aqueous conditions it was necessary to immobilize fluorophores on
myosin filaments to prevent exchange with free molecules in solution.
Model myosin filaments were made using the succinimidyl esters of the
dyes to couple covalently but nonspecifically to the constituent
monomeric myosin. One milliliter of myosin solution at 5 mg
ml
1 in 0.5 M KCl, 20 mM
KH2PO4/K2HPO4
at pH 6.8 was added to 0.1 ml of 1 M sodium carbonate (pH 9.3) followed
by 0.2 mg of either the Cy3.29.OSu or Cy5.29.OSu reagent. The reaction
mixture was incubated at 4°C for 1 h with gentle stirring, then
diluted 20-fold into 2 mM MgCl2, 1 mM DTT, and 20 mM PIPES (adjusted to pH 7.0 with KOH) to form myosin filaments. The
labeled myosin filaments were separated from unconjugated dye by
low-speed centrifugation followed by resuspension, washing at pH 7, and
further centrifugation. Molar concentrations of dye and myosin were
calculated from the absorbance of the labeled myosin solution (
150,000 M
1 cm
1 at 550 nm for Cy3.29.OH, 250,000 M
1
cm
1 at 650 nm for Cy5.29.OH and 275,000 M
1 cm
1 at 280 nm for
myosin; from A280 nm; see previous
section). The molecular ratios of dye to myosin were ~10:1. Filaments
suitable for analysis by TIRF were formed from the labeled myosin as
described for unlabeled myosin.
Interaction of Cy3-EDA-ATP and Cy5-EDA-ATP with myosin subfragment 1
Stopped-flow measurements were carried out using a Hi-Tech
Scientific SF61-MX instrument (Salisbury, UK) in the single-push fluorescence mode, and records were analyzed, generally as single exponential decays, using Hi-Tech software or Origin 5. The relatively small Stokes shift in Cy3 and Cy5 fluorescence necessitated careful choice of excitation and emission wavelengths. A quartz-halogen lamp
was used with monochromatic excitation at 520 and 600 nm for Cy3 and
Cy5, respectively. These wavelengths correspond to shoulders on the
absorption spectra 40-50 nm to the blue of the maxima (Mujumdar et
al., 1993
). Emitted light was transmitted through a Wratten 21 cutoff
filter (0.1 and 50% transmission at 535 and 555 nm, respectively) to
record Cy3 fluorescence and through a Wratten 70 cutoff filter (0.1 and
50% transmission at 640 and 675 nm, respectively) to record Cy5
fluorescence. Mant-ATP fluorescence was detected by energy transfer
from tryptophan in subfragment 1 (Woodward et al., 1991
). Excitation
was at 290 nm from a 75-W mercury-xenon lamp, and emitted light was
transmitted through a Wratten 47B bandpass filter (430 nm, bandwidth 50 nm). Actosubfragment 1 dissociation by ATP analogs was monitored at 350 nm, using the light-scattering signal orthogonal to the incident beam.
Experiments were carried out at 20°C in solvent A (Table 2) to allow
direct comparison with rate constants obtained with ATP and mantATP
(Woodward et al., 1991
) or in solvent B (Table 2) to allow direct
comparison with TIRF measurements. Except where otherwise noted,
concentrations quoted are those after mixing in the flow cell.
Myosin subfragment 1 and its actin-activated Cy3-EDA-ATPase and Cy5-EDA-ATPase activities were measured at 20°C in a reaction solution of 1 mM MgCl2, 0.2 mM DTT, typically 40 µM Cy3-EDA-ATP or Cy5-EDA-ATP, 10 mM Tris adjusted to pH 7.5 with HCl, with between 0 and 72 or 36 µM F-actin, respectively. The reaction was started by the addition of 0.1-0.5 µM subfragment 1 in the absence of actin and 0.02 µM subfragment 1 in its presence. Aliquots of the reaction solution were then taken and quenched with acid at intervals of 30 s and then centrifuged, and aliquots from these supernatants analyzed by reverse-phase HPLC (see above), using isocratic rather than gradient elution with a mobile phase of acetonitrile:aqueous 100 mM KH2PO4/K2HPO4 at pH 6.8 (13:87 v/v). From the ratios of the diphosphate to triphosphate peak areas the Cy3- and Cy5-EDA-ATPase rates were determined. Actin-activated subfragment 1 ATPase was measured as described above, using 1.36 mM ATP, except that anion exchange HPLC (Whatman SAX) was used to resolve ATP and ADP with absorbance monitored at 260 nm.
Muscle fiber preparation and physiological measurements
Single muscle fibers from the rabbit psoas muscle were
dissected, permeabilized, and mounted between a force transducer and a
motor as described by Thirlwell et al. (1994)
. Cy3(Cy5)-EDA-ATP and ATP
were compared as substrates in fibers by measuring the force that they
induced in activated isometric fibers at 2.4-2.6 µm sarcomere
length, following protocols essentially as in Alessi et al. (1992)
. The
kinetics of fiber relaxation and activation were likewise compared. The
rates of relaxation from the activated isometric state were measured as
in Alessi et al. (1992)
, as were the rates of activation from the
relaxed state, as described in the next paragraph.
The efficacy of Cy3(Cy5)-EDA-ATP was also determined by measurements of
maximum shortening velocity under zero load, using the slack-test
method of Edman (1979)
as described in Thirlwell et al. (1995)
, except
that insufficient Cy3(Cy5)-nucleotides were available to obtain enough
data for statistical analysis. The muscle fiber was initially incubated
in relaxing solution at 20°C that contained Cy3(Cy5)-EDA-ATP or ATP,
15 mM EGTA, 10 mM MgCl2, 1 mM glutathione, 60 mM
N-tris-(hydroxymethyl)methyl-2-aminoethanesulfonic acid
adjusted to pH 7.1 with KOH, and K+ propionate to
bring ionic strength to 0.15 M. The fiber was then transferred to a
similar solution that also contained sufficient Ca2+ to give 32 µM free
Ca2+, and tension developed. When an isometric
plateau was reached, the length of the muscle fiber was decreased to
drop the force to zero. The muscle fiber shortened under zero-load
conditions to take up the slack and then force redeveloped. The muscle
length was reduced sufficiently to allow for a measurable shortening time at zero load. The muscle length was returned to the initial value
0.5 s later. The process was repeated twice with different extents
of shortening. The maximum shortening velocity was calculated from the
time taken for the fiber to take up the slack and the extent of shortening.
In vitro motility assay
The in vitro motility assay was carried out as described by
Anson (1992)
with the modifications described below. A
nitrocellulose-coated coverslip formed the bottom of a 40-µl flow
cell, and 100 µl of heavy meromyosin at 50 µg
ml
1 was used to coat the surface. After
washing, 10-20 nM F-actin, labeled and stabilized with
rhodamine-phalloidin, was introduced and allowed to bind to the heavy
meromyosin in rigor. Unbound F-actin was washed out, and the cell was
flushed with motility buffer, 25 mM KCl, 4 mM
MgCl2, 1 mM EGTA, 0.5 mg
ml
1 bovine serum albumin, 5 mM DTT, 25 mM HEPES
adjusted to pH 7.5 with KOH, containing 100 µg
ml
1 glucose oxidase, 20 µg
ml
1 catalase, and 3-5 mg
ml
1 glucose as an oxygen-depleting antifade
mixture (Harada et al., 1990
). The flow cell was transferred to an
inverted epifluorescence microscope (Axiovert 35; Carl Zeiss Jena,
Jena, Germany). Rhodamine fluorescence was excited either by the 546-nm
line of a 100-W mercury arc lamp (HBO-100 W2) selected by a 546-nm
interference filter (bandpass 8 nm) and a BG18 red-absorbing filter, or
a 1-mW, 543-nm He-Ne laser (1674P; Uniphase, San Jose, CA). Imaging was via a 560-nm dichroic reflector and a 580-nm interference filter (bandwidth 30 nm; 560DRLP02 and 580DRF30; Omega Optical, Brattleboro, VT) by a Plan-Neofluar 40×, 1.3 NA oil-immersion objective (Carl Zeiss) through a 4× magnifying lens onto an intensified CCD TV camera
(Darkstar 800; Photonic Science, Robertsbridge, UK). TV-rate (CCIR, 25 frames s
1) images were rolling averaged over
four frames by an image processor (Argus 10; Hamamatsu Photonics,
Hamamatsu, Japan). The averaged image was stored with time-marking,
using a time-date generator (VTG33; ForA, Tokyo, Japan) and an S-VHS
(PAL) videotape recorder (BRS-800E; JVC, Yokohama, Japan). After
focusing and recording actin filaments in rigor as a reference, we
started motility on the microscope by perfusing into the flow cell 100 µl of motility buffer containing Cy5-EDA-ATP or, for reference,
mant-ATP. All solutions were stored on ice, and the microscope stage
and flow cell were stabilized at 25°C for the assays.
Measurement of F-actin velocity
Computer analysis of the video recordings was carried out in a
manner similar to that used by Anson et al. (1995)
, but employing different video equipment. Videotapes of the F-actin movement were
played back off-line by the BRS-800E VCR, and the images were converted
in real time by a CVR22 digital standards converter (Snell and Wilcox,
Petersfield, UK) from PAL (25 frames s
1, 625 lines) to NTSC (30 frames s
1, 525 lines). This
allowed digitization of the images with a VP110 video processor (Motion
Analysis, Santa Rosa, CA) and their automatic tracking by computer,
using the Expert Vision system (Motion Analysis) running on a 486DX2 66 MHz PC. In view of the low actin velocities (<1 µm
s
1) produced by the low concentrations of ATP
analogs used, video frames were digitized at 1 frame
s
1 (Homsher et al., 1992
).
TIRF microscopy
The apparatus
The TIRF microscope was similar to that described by Funatsu et al. (1995)
8
m2) at the e
2
intensity contour.
Alternatively, a flow cell was formed from two coverslips (15 × 15 mm) with 50-µm polycarbonate spacers between them. The lower glass
coverslip was 120-170 µm thick, and the top surface was formed by a
fused-silica coverslip (350 µm thick). After this flow cell (volume
~5 µl) was placed on the microscope, the base of the trapezoidal
prism was optically contacted to the upper surface of the second
coverslip, using glycerol (n 1.47) as a refractive index
matching fluid. Laser light was focused with a lens with a 75-mm focal
length that was perpendicular to one of the angled faces of the prism.
This gave an angle of incidence at the fused-silica/water interface of
70° and produced a Gaussian elliptical spot with axes of ~150 × ~50 µm (6 × 10
9
m2).
The evanescent wave (Axelrod et al., 1984
2 of its maximum value at a depth
of ~200 nm in the solution. Thus only fluorophores close to the
interface were efficiently excited.
The temperature of the flow cell was monitored by an infrared detector
and controlled by pumping a water-glycerol mixture (1:1 v/v) from a
thermally controlled (
20 to 20°C) water bath through a copper pipe
surrounding the flow cell mounting and a brass jacket surrounding the
microscope objective similar to that described by Anson (1992)
1. We used an eight-frame rolling
average for dwell time determinations, resulting in a time resolution
of 270 ms. The images stored on magnetooptical disks were analyzed
off-line, using a frame-grabber to transfer data to a Macintosh
computer running Image Analyst software (Automatrix, Middlesex, MA).
Two general classes of experiments were performed with the myosin
filaments: those designed to establish the ensemble kinetic properties
of the Cy3-EDA-ATPase and Cy5-EDA-ATPase of the adsorbed myosin
filaments as opposed to myosin subfragment 1 in solution, and those
that were single-molecule studies of the Cy3- and Cy5-nucleotides interacting with the filaments. In the former case Cy3- and
Cy5-nucleotides bound to the filaments gave uniformly bright
fluorescence images. Cy3- and Cy5-fluorescence away from the filament
increased with nucleotide concentration; this background fluorescence
was subtracted from that of the filaments and was generally more
problematic at high Cy3-nucleotide concentrations.
In single-molecule experiments the fluorescence intensities of Cy3- and
Cy5-EDA-ATP (ADP) bound to myosin filaments were analyzed using Image
Analyst as follows. Images of individual filaments in video frames were
recorded at relatively high concentrations of fluorescent analog (~50
nM for triphosphates and ~300 nM for diphosphates) at the end of a
single-molecule experiment. These images were displayed and their
positions recorded. Rectangles (typically 10 × 20 pixels,
equivalent to 1.9 × 3.7 µm) enclosing each filament were drawn
on the screen. The rectangles became spatial filters such that only
pixels within each rectangle were analyzed. The spots from the
single-molecule fluorescence were analyzed from the digital images by
averaging pixel intensities over each of these preset rectangles.
Corresponding fluorescence intensities from every video frame were
stored on the computer's magnetic disk, and, as required, the variance
of the intensity was calculated. In this way only fluorescence from the
region around a myosin filament, in which the exact filament position could not otherwise be seen, was included in single-molecule
experiments. Using the same procedure as described above, background
intensity was estimated from nearby areas, defined by the same size
rectangles but free of filaments. The video frames were also monitored
by eye, for example, to assess the frequency at which discrete spots occurred on a filament as a function of nucleotide concentration.
The dwell times of the spots observed on myosin filaments were
determined by measuring the duration that an individual Cy3- or
Cy5-nucleotide remained bound to a myosin filament and so continued to
produce a discrete fluorescent spot (as shown in Fig. 11). The recording time of the traces from which the distributions were derived
was typically 15 min. As shown below, Cy3 fluorescence was more
resistant to photobleaching than that of Cy5, so single-molecule kinetic studies are restricted to Cy3-nucleotides.
The distribution of dwell times was analyzed as the best fit to an
exponential decay that is the expected behavior of the distribution of
lifetimes of individual stochastic processes (Colquhoun and Hawkes,
1994
, the reciprocal of
the mean lifetime. The relationship between the distribution of
lifetimes and macroscopic (ensemble) kinetics for single and multiple
ion-channel recordings has been described in detail by Colquhoun and
Hawkes (1994)
8 m2)
spot. A photon-counting photomultiplier tube, type R3550 (Hamamatsu Photonics) with a bialkali photocathode for Cy3 fluorescence or type
H3460-53 (Hamamatsu Photonics) with a multialkali (Na-K-Sb-Cs) photocathode for Cy5, was attached to the 35-mm camera port of the
microscope. The extra magnification, 2.5×, together with the 100×
from the objective lens gave a field of view on the observation surface
with a diameter of nearly 90 µm. Thus fluorescence from many myosin
filaments was integrated by the photomultiplier. The rate of change of
fluorescence intensity was monitored, and the photoelectrons were
counted in 0.5-s time bins.
Manipulations of myosin filaments and solutions in the flow cells
Five microliters of aqueous solution containing 2 µg ml
1 synthetic myosin filaments in solvent
B (Table 2), together with 100 µg ml
1 glucose
oxidase, 20 µg ml
1 catalase, and 3 mg
ml
1 glucose for oxygen depletion, were
introduced into the chamber. Myosin filaments spontaneously attached to
the fused-silica surface, where they could be observed.
Twenty-microliter aliquots of the above solution (without myosin)
containing Cy3- or Cy5-labeled nucleotides were injected into one side
of the chamber with a pipette and drawn from the opposite side with a
piece of filter paper. In photobleaching experiments Cy3- or
Cy5-labeled myosin filaments rather than unlabeled filaments were used.
Phalloidin-stabilized actin filaments were introduced for studies of
actin-activated Cy3(Cy5)-EDA-ATPase. Control assays of actin binding
were performed by incubating rhodamine-phalloidin actin filaments with
immobilized myosin filaments; several actin filaments were observed in
a conventional epifluorescence microscope to bind to each myosin
filament. Actin was not released from the myosin filaments by 50 nM
Cy5-EDA-ATP, a typical concentration used in experiments. With the
addition of excess ATP, most actin filaments became detached and were
washed from the myosin filaments.
Kinetics of solution exchange in the flow cell
As ATP was used to dissociate Cy3- and Cy5-EDA-nucleotides from myosin filaments (Figs. 8 and 9), it was important to establish that the rate of introducing ATP exceeded that of the dissociation. Furthermore, the rate of introduction of a new solution had to be measured near the glass surface from which the Cy3 or Cy5 fluorescence originated rather than from the bulk solution. This was done by first filling the cell with nonfluorescent solution; then 1 µM Cy5.29.OH was allowed to perfuse in rapidly, and its fluorescence was monitored using evanescent wave excitation (Fig. 8 B, inset). Cy5 fluorescence increased linearly with time for 35% of the overall signal; thereafter the signal was nonlinear and was 90% complete in 1.2 s. The 35% change was reached 300 ms from the time when the Cy5 fluorescence began to increase. ATP (1 mM) was used to displace the ATP analogs, so the initial rate of change of ATP concentration was 1.2 µM ms
1. It follows that [ATP] will be >100
µM by 100 ms. The association rate constant of ATP binding to
myosin is 1.8 µM
1 s
1
(Table 1), so the introduced ATP will have saturated any
nucleotide-free ATPase site on the myosin filament by 100 ms. (The
Km of ATP for myosin is ~50 nM.)
Consequently the fluorescence records in Figs. 8 and 9 reflect Cy5- and
Cy3-EDA-nucleotide displacements because these processes are slow
enough not to be limited by the rate of ATP introduction into the flow cell.
Data analysis and curve fitting
Statistical data analysis, nonlinear curve fitting, and graphical presentation were carried out with either Origin 5 (Microcal Software, Northampton, MA) or Sigmaplot 4.0 (SPSS, Chicago, IL) software running on IBM Pentium PC platforms. Critical analyses were checked using both programs. Standard deviations (SD) are quoted as mean ± SD. However, in several of the stopped-flow experiments there was insufficient cyanine nucleotide to repeat experiments with different subfragment 1 preparations. In these cases we estimate that the maximum range of the rate constant k was from 0.7 k to 1.4 k.
| |
RESULTS |
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Interconversion kinetics of 2'- and 3'-O-Ac-EDA-ADP
Fig. 1 illustrates an HPLC analysis
of an experiment at pH 9.4 and 22°C recording the time course of
conversion from 3'-O-Ac-EDA-ADP to
2'-O-Ac-EDA-ADP. Measurements (not shown) were also made
at 22°C, starting from the 3'-O-ester at pH 7.1 and 8.4 and from the 2'-O-ester at pH 9.4. Based on the
isomerization scheme in Fig. 1, values of
k23 are 0.010, 0.14, and 1.40 h
1, and values of
k32 are 0.007, 0.098, and 1.00 h
1 at pH 7.1, 8.4, and 9.4, respectively. The
mean value of the equilibrium constant for the isomerization
(k23/k32)
equals 1.4 when it is measured from the equilibrium proportions of
[3'-O-Ac-EDA-ADP] to [2'-O-Ac-EDA-ADP]. The
isomerization rate, expressed as
(k23 + k32), is proportional to
[OH
] over the pH range 7.1 to 9.4 and equals
30[OH
] s
1.
|
The chemistry of Cy3-EDA- and Cy5-EDA-nucleotides
Separation of 2'- and 3'-isomers was achieved on a 10-nmol scale
for Cy3-EDA-ATP and a 30-nmol scale for Cy3-EDA-ADP. The Cy5-EDA-ADP
isomers were similarly separated but, unlike the Cy3 isomers, were not
subjected to further experiments. For both Cy3- and Cy5-EDA-ATP (as for
the 2'(3')-O-Ac-EDA-ADP) the earlier eluting isomer peak had
the smaller absorption (range 1:1.4 to 1:1.5), and for Cy3-EDA-ATP it
was identified by 1H-NMR as the
2'-O-isomer. Isomerization rates were measured for 2'-O- and 3'-O-Cy3-EDA-ATP. At pH 7.2 and pH 9.6 the rates were <0.01 h
1 and 1.0 h
1, respectively, at 20°C. No isomerization
was detected during the hydrolysis of 5 µM
2'-O-Cy3-EDA-ATP to 2'-O-Cy3-EDA-ADP by 100 nM
subfragment 1 at 20°C and pH 7.5.
Fluorescence of 2'-O- and 3'-O-Cy3-EDA-ATP(ADP)
After isomer separation it was possible to compare the ratio of
the fluorescence of 2'-O-Cy3-EDA-ATP and
3'-O-Cy3-EDA-ATP (assuming identical
values). It was
important to know this, as otherwise it would not be clear to what
extent a fluorescence difference when the 2'- or 3'-isomer bound to
myosin subfragment 1 in solution was due to a difference when the
isomer was not bound. This in turn influences the analysis in TIRF
experiments. At the emission peak 3'-O-Cy3-EDA-ATP
fluorescence was 89% of that of 2'-O-Cy3-EDA-ATP in solvent
A. In a further study the two isomers of Cy3-EDA-ADP were separated
from a (nonequilibrium) mixture by HPLC and monitored using absorption
and fluorescence HPLC detectors. The ratio of the absorption peaks was
1:1.72, and that of the fluorescent peaks was 1:1.59, indicating that the fluorescence of 3'-O-Cy3-EDA-ADP was 92% of that of
2'-O-Cy3-EDA-ADP.
Elementary processes of Cy3-EDA-ATPase and Cy5-EDA-ATPase activities
Data in Table 1 summarize the
results obtained by analysis of the interaction of free myosin
subfragment 1 in solution with Cy3- and Cy5-EDA-nucleotides in the
presence and absence of actin. Most of the data in Table 1 are derived
from mixed isomers; those from separated isomers are shown in brackets.
Except for ss kcat, results relating to
subfragment 1 alone were obtained by transient kinetic methods as
follows. The second-order association rate constant,
k+1, was calculated by measuring the
dependence of the observed rate of Cy3 fluorescence increase (Fig.
2 A) or Cy5 fluorescence
decrease (Fig. 2 D) on subfragment 1 concentration (0.5-5
µM) when the ATP analogs were mixed with subfragment 1 in excess.
This yielded values for k+1 of 1.2 and
1.4 µM
1 s
1 for Cy3-
and Cy5-EDA-ATP, respectively.
|
|
Under single turnover conditions (i.e., [subfragment 1] > [ATP
analogue]) there is a characteristic formation and decay of an
intermediate. This is the same as the steady-state intermediate of the
triphosphatase reaction when the ATP analog is in excess (Bagshaw and
Trentham, 1973
). This decay was evident as a Cy3 fluorescence decrease
(Fig. 2 B) and a Cy5 fluorescence increase (Fig. 2
E) in the cases of Cy3-EDA-ATP and Cy5-EDA-ATP,
respectively. The exponential decay rates were independent of
subfragment 1 concentration and were equated with
kcat (or
k+3; more correctly, k+2k+3/(k+2 + k
2)) (Table 1), because at least
in the case of ATP, the ATP cleavage step is reversible (Bagshaw and
Trentham, 1973
).
Several checks were made on the above results and their interpretation.
The rapid phase associated with Cy5-EDA-ATP binding to subfragment 1 was also observed as a 10% protein fluorescence decrease (data not
shown) that contrasts with the 20% protein fluorescence increase on
ATP binding. As a second test each nucleotide analog was added to
subfragment 1 and within 5 s mixed with a 100-fold excess of ATP
(Cy3 experiment) or mant-ATP (Cy5 experiment). (The use of mant-ATP
rather than ATP and monitoring mant fluorescence for the Cy5-EDA-ATP
experiments gave an improved signal-to-noise ratio.) Under these
conditions the Cy3- or Cy5-EDA-ATP bound to subfragment 1 will be
displaced from its steady-state intermediate. As predicted, the
exponential rates in Fig. 2, C and F, matched those in Fig. 2, B and E, respectively. Finally
Mg2+-dependent subfragment 1 Cy3-EDA-ATPase and
Cy5-EDA-ATPase activities (called ss kcat
in Table 1) were measured using a steady-state assay used for the
actin-activated analysis (see Materials and Methods); rates were
0.030 and 0.018 µmol min
1 (mg
subfragment 1)
1 corresponding to turnover rates
of 0.056 and 0.034 s
1, respectively.
The interaction of Cy3-EDA-ADP with myosin is a key element in our
single-molecule analysis (see below), so the reaction kinetics of
Cy3-EDA-ADP (mixed isomers) with subfragment 1 were measured in some
detail. Displacement of, typically, 1 µM Cy3-EDA-ADP from 2.5 µM
subfragment 1 by 100 µM ATP under the same conditions as in Fig. 2
was accompanied by a decrease in Cy3 fluorescence; the exponential
decay was independent of ATP concentration and had a rate constant,
k+4, equal to 1.20 (± 0.09)
s
1. Conversely, the association occurred with
an increase in Cy3 fluorescence, and under the same conditions the
observed rate constant, kobs,
increased linearly with Cy3-EDA-ADP concentration (2.5 to 7.5 µM and
0.5 µM subfragment 1). kobs can be
equated with k
4[Cy3-EDA-ADP] + k+4. From these data
k
4 was 0.53 µM
1 s
1,
k+4 was 1.3 s
1, and the dissociation constant of
Cy3-EDA-ADP from subfragment 1, K4,
was 2.6 µM. Further studies were carried out to measure the
Cy3-EDA-ADP dissociation rate constant from subfragment 1 over the same
temperature range as in the single-molecule studies. At 5 and
10°C, values of k+4 were 0.07 (± <0.01) and 0.22 (± 0.01) s
1, respectively.
The separated isomers 2'-O-Cy3-EDA-ATP (and ADP) and
3'-O-Cy3-EDA-ATP (and ADP) were isolated in sufficient
quantities for their interaction with subfragment 1 to be analyzed.
Surprisingly, the fluorescence of 2'-O-Cy3-EDA-ATP decreased
on binding to subfragment 1, while that of 3'-O-Cy3-EDA-ATP
increased (Fig. 3, A and
B). From such data, binding of 0.25 µM
3'-O-Cy3-EDA-ATP to subfragment 1 was measured over a
1-8-µM range of subfragment 1, and
k+1 equaled 1.1 × 106 M
1
s
1 (Table 1). Records as shown in the slow
phases in Fig. 3, C and D, were used to calculate
k+3 values for
2'-O-Cy3-EDA-ATP and 3'-O-Cy3-EDA-ATP,
respectively, which are recorded in Table 1. The dissociation rate
constants of 2'-O- and 3'-O-Cy3-EDA-ADP were 2.6 and 1.7 s
1, respectively (Fig. 3, E
and F).
|
Taken together with the Kd ( = K4) value of 2.6 µM (Table 1) for the Cy3-EDA-ADP interaction with subfragment 1, the amplitudes of the records (Fig. 3) show that the fluorescence decrease when 2'-O-Cy3-EDA-ADP binds to subfragment 1 is 5% compared to 12% for 2'-O-Cy3-EDA-ATP, while the fluorescence increase for 3'-O-Cy3-EDA-ADP is 26% compared to 70% for 3'-O-Cy3-EDA-ATP. Cutoff filters were used to obtain these data, and it is useful to be able to relate relative fluorescence intensities to a specific emission wavelength. The 70% increase observed when 3'-O-Cy3-EDA-ATP binds to subfragment 1 (Fig. 3 B) may be compared to the 80% increase for the formation of 3'-O-Cy3-EDA-ATP subfragment 1 steady-state complex recorded in an SLM fluorimeter at the maximum emission of 562 nm.
Because Cy5 nucleotides gave a relatively small fluorescence change on
interaction with subfragment 1, an indirect fluorescence approach was
used to measure the transient kinetics. Mant-ATP was mixed with a
solution containing Cy5-EDA-ADP and subfragment 1 at equilibrium (Fig.
4 A), and mant-ATP
fluorescence was excited by energy transfer from excited tryptophans in
subfragment 1. A biphasic increase in fluorescence was recorded. In the
absence of Cy5-EDA-ADP, a monophasic fluorescence increase occurred
(Fig. 4 B), the rate constant of which equaled that of the
rapid phase in Fig. 4 A and the amplitude of which
corresponded to the overall amplitude in Fig. 4 A. On the
other hand, if the Cy5-EDA-ADP concentration was increased, the ratio
of slow to fast phases also increased. The slow phase in Fig. 4
A may be equated to the dissociation rate constant,
k+4, of 1.6 s
1
of Cy5-EDA-ADP from subfragment 1, and the fast phase may be equated to
the association of mant-ATP with free subfragment 1 (the process
observed in Fig. 4 B). The 1:2 ratio of amplitudes of the
slow to fast phases gives the ratio between subfragment 1 with
Cy5-EDA-ADP bound and free subfragment 1 before mixing in the
stopped-flow apparatus. From this the dissociation constant, K4, can be calculated to be 2.4 µM.
|
Steady-state kinetic methods were used to measure Michaelis-Menten constants, K'm for actin and Vmax of the actin-activated subfragment 1 Cy3-EDA-ATPase and Cy5-EDA-ATPase. However, Cy3-EDA-ATP and Cy5-EDA-ATP were not available at saturating concentrations. Nevertheless, Vmax values are comparable to those obtained with saturating ATP, although K'm for actin is two- to threefold greater for the Cy3- and Cy5-nucleotides (Table 1). HPLC records showed that the ratio of isomers of Cy3-EDA-ADP and Cy5-EDA-ADP was unchanged through the time course of the actin-activated triphosphatase assay, indicating that pairs of isomers hydrolyzed at the same rates (within a factor of 1.5; this assay of relative triphosphatase rates has low sensitivity). Transient kinetic methods were used to measure the rates of dissociation of actosubfragment 1 induced by Cy3-EDA-ATP and Cy5-EDA-ATP (Fig. 5 and Table 1). Second-order rate constants were threefold less than for dissociation induced by mant-ATP or ATP.
|
To compare the kinetics of the Cy3(Cy5)-EDA-nucleotides interacting with subfragment 1 and the kinetics of their interactions with myosin filaments, we needed to measure kcat and k+4 in the same solutions. Experiments were carried out in the appropriate solvent (solvent B, Table 2), but using 1 mM rather than 10 mM DTT. The results are recorded in Table 2. kcat values in solvent B were typically twofold greater than those in solvent A (cf. columns 1 and 2 in Table 2). Measurements in other buffer systems showed that this was due primarily to the lower ionic strength of solvent B compared to that of solvent A.
|
Cy3- and Cy5-EDA-ATP as physiological substrates for muscle fiber contraction
Cy3-EDA-ATP and Cy5-EDA-ATP were compared with ATP as substrates
in single permeabilized muscle fibers. Each analog generated the same
isometric force in muscle as ATP. Cy3(Cy5)-EDA-ATP relaxed muscle
fibers from the activated state but at a rate fivefold slower than that
obtained with the same concentration of ATP. The data from the two
assays were very similar to those of a ribose-modified spin-labeled ATP
analog (figure 2 of Alessi et al., 1992
). The half-times of activation
from the relaxed state by Ca2+ addition were
indistinguishable: between 1.3 and 1.8 s for 0.5 mM analogs and
ATP. However, here rates were limited by Ca2+
diffusion (Moisescu, 1976
), as illustrated by the half-time for activation being 20 ms after photolysis of caged ATP under otherwise comparable conditions (Ellis-Davies and Kaplan, 1994
).
The maximum unloaded shortening velocities were 0.63 and 1.31 muscle
lengths s
1 at 100 µM Cy5-EDA-ATP and ATP,
respectively, and 1.73 muscle lengths s
1 in
6.25 mM Cy3-EDA-ATP compared to 2.93 muscle lengths
s
1 in 5 mM ATP (Fig.
6). Thus Cy3- and Cy5-EDA-ATP induce
unloaded shortening velocities about twofold more slowly than those
achieved with ATP, and this, together with the results of force
measurements, shows that they have physiological properties similar to
those of ATP.
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