Vol. 85, Issue 6, 2140-2145, December 1998
Recovery of free ADP, Pi, and
free energy of ATP hydrolysis in human skeletal muscle
Henning
Wackerhage1,
Uwe
Hoffmann1,
Dieter
Essfeld1,
Dieter
Leyk1,
Klaus
Mueller2, and
Jochen
Zange2
1 Department of Physiology,
German Sports University, D-50933 Cologne; and
2 Institute of Aerospace Medicine,
Deutsches Zentrum fuer Luft und Raumfahrt, D-51170 Cologne,
Germany
 |
ABSTRACT |
We measured
significant undershoots of the concentrations of free ADP
([ADP]) and Pi
([Pi]) and the free
energy of ATP hydrolysis (
GATP) below
initial resting levels during recovery from severe ischemic exercise
with 31P-nuclear magnetic
resonance spectroscopy in 11 healthy sports students. Undershoots of
the rate of oxidative phosphorylation would be predicted if the rate of
oxidative phosphorylation would depend solely on free
[ADP],
[Pi], or
GATP. However,
undershoots of the rate of oxidative phosphorylation have not been
reported in the literature. Furthermore, undershoots of the rate of
oxidative phosphorylation are unlikely because there is evidence that a balance between ATP production and consumption cannot be achieved if an
undershoot of the rate of oxidative phosphorylation actually occurs.
Therefore, oxidative phosphorylation seems to depend not only on free
[ADP],
[Pi], or
GATP. An
explanation is that acidosis-related or other factors control oxidative
phosphorylation additionally, at least under some conditions.
phosphorus nuclear magnetic resonance spectroscopy; exercise; recovery; free energy
 |
INTRODUCTION |
UNDERSHOOTS OF THE CONCENTRATIONS of free ADP
([ADP]) (1, 2) and Pi
([Pi]) (4) below
initial resting levels have been measured during recovery of human
skeletal muscle from exercise. An undershoot of free ADP
and the free energy of ATP hydrolysis (
GATP) was
observed during hypercapnic acidosis in resting cat skeletal muscle
(13).
The undershoot of Pi was measured
with a 4.7-T 31P-nuclear magnetic
imaging (NMR) magnet (4). The fact that
Pi and phosphomonoester (PME)
peaks are difficult to resolve with a conventional
31P-NMR magnet may be an
explanation for the difficulty in detecting Pi undershoots in studies where
31P-NMR magnets with lower field
strength are used.
The undershoots of free ADP and Pi
below initial resting levels occurred after similar types of exercise.
For this reason, undershoots of free ADP and
Pi at the same time may be
measurable with a high-field-strength
31P-NMR magnet under certain
conditions. If so, and if the ATP changes are small, a pronounced
undershoot of
GATP will result.
Undershoots of free ADP, Pi, and
GATP below
initial resting levels pose several questions regarding reactions that
precede and follow the ATP synthesis step as well as the control of
energy metabolism.
An undershoot of
GATP would
require a more negative minimum free energy
(
G) of reactions that precede the ATP
synthesis step and would allow a more negative
G of reactions that depend on
GATP.
Free ADP, Pi at low
concentrations, and
GATP are
putative control factors of mitochondrial oxidative phosphorylation. In the most widely cited oxidative phosphorylation control models, it is
assumed that in skeletal muscle 1)
oxidative phosphorylation is controlled by free ADP (and
Pi at low concentrations);
Michaelis-Menten or kinetics of a higher order are assumed (8, 16, 21); and 2) the rate of oxidative
phosphorylation depends linearly (9, 23) or quasi-linearly on
GATP (15).
According to the above-mentioned models, undershoots of free ADP,
Pi, and
GATP would
result in a decrease in oxidative phosphorylation, which must be
compensated for by either decreased ATP consumption or increased
nonoxidative ATP production to maintain the balance between ATP
production and consumption.
The purpose of this study was to investigate the time courses of free
[ADP],
[Pi], and
GATP in human
calf muscles by using a 4.7-T
31P-NMR magnet during and after
moderate and severe calf muscle exercise. We want to discuss the
findings especially with respect to the control of oxidative phosphorylation.
 |
METHODS |
Subjects.
One woman and ten men who were healthy and endurance-trained sports
students (runners and triathletes), participated in this study. Their
age, height, and weight were 28 ± 3 (SD) yr, 180 ± 4 cm, and 76 ± 8 kg, respectively. The subjects were informed about the possible
risks involved in the tests before their voluntary consent was obtained.
Experimental protocol.
Subjects lay supine with the upper body elevated by 25°. An air
cuff was placed around the lower part of the right thigh, and the right
foot was fixed on the foot support of a calf muscle ergometer. A
70° angle between the pedal and the horizontal plane was adjusted.
Force was measured with a strain-gauge force transducer (model U2A,
Hottinger-Baldwin Messtechnik, Darmstadt, Germany) and was displayed to
the subjects.
Three tests were performed. In the test force (TF) test, maximum
voluntary force was measured during three bouts lasting 5 s, with 60-s
recovery between each bout. The highest individual force averaged over
1 s measured at the force transducer was used as an estimate of the
subject's TF. In the 20% TF and 50% TF tests (Fig.
1), after 4 min of rest the thigh cuff was
rapidly inflated to between 280 and 300 mmHg (37-40 kPa). One
minute later, the subjects performed an isometric plantar flexion at
either 20 or 50% of their TF for 4 min or until exhaustion. After
another 90 s, the thigh cuff was deflated and the subjects remained in
their position for 20 min.

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Fig. 1.
Experimental protocol for 20% test force (TF) and 50% TF test.
Plantar flexion, volunteers performed an isometric foot plantar flexion
with 20 or 50% of their individual TF. Ischemia, arterial
occlusion at lower thigh level. In Figs. 2-8,
time 0 indicates opening of occlusion
cuff (end of occlusion).
|
|
The 20% TF and the 50% TF test were performed in random order with
normally 1 day and, in some cases, several hours between tests. The TF
test was performed at least 20 min before the first of the following
two tests.
31P-NMR.
31P-NMR measurements were
performed on a Bruker Biospec 47/40 (4.7-T, 40-cm bore; Bruker,
Karlsruhe, Germany) by using a 5-cm-diameter surface coil. Vector size
was 4 k, and spectral width was 10,000 Hz. The repetition time was 0.3 s, and the flip angle was 60° in the center of the coil. For one
spectrum, 64 free induction decays were acquired in 20 s. The spectra
were analyzed by using the software package UXNMR (Bruker). The
integral borders were 7.4-5.9 parts/million (ppm) for the PME
peak, 5.8-3.3 ppm for the Pi
peak, 1.1 to
1.1 ppm for the phosphocreatine (PCr) peak, and
14.9 to
17.4 ppm for the
-ATP peak. To correct for
partial saturation, correction factors were determined by comparing
50-100 spectra, measured with the parameters given above, with
5-10 fully relaxed spectra in 5 resting subjects. The average PCr
integral ratio of the fully relaxed to the partially relaxed spectra
was set to one. The correction factors for the other signals were calculated relative to this value. They were 1.94 ± 0.36 for PME, 1.23 ± 0.13 for Pi, and 0.80 ± 0.02 for ATP. It was difficult to determine the correction factor
for the PME signal accurately because this signal is small at rest. The
integrals of the PME, Pi, PCr, and
-ATP signals were corrected with the average correction factors and
their relative proportions from total phosphate ([PME] + [Pi] + [PCr] + [ATP]) were determined. Intramuscular
pH was calculated from the distance between the maximums of the
Pi and PCr peaks (
) as
|
(1)
|
where
is given in ppm (e.g., see Ref. 2).
Estimation of absolute concentrations and calculation of free
[ADP] and
GATP.
The absolute [PME],
[Pi],
[PCr], and [ATP] were estimated by multiplying
the peak areas of these signals by the factor that was obtained by
converting the resting average
-ATP peak area into an assumed
[ATP] of 8.2 mmol/l in cell water (2). Total creatine
concentrations
([Cr]tot;
[PCr] + [Cr]) were assumed to be constant
throughout a test.
[Cr]tot was estimated
by assuming a
[PCr]-to-[Cr]tot
ratio of 0.85 at initial rest for each individual (15).
[Cr] was calculated as
[Cr]tot
[PCr].
Harkema and Meyer (13) point out that errors may arise at low pH if
free [ADP] and
GATP are
calculated by using the formulas given in Lawson and Veech (20)
and/or Kushmerick et al. (19). To avoid such errors, free
[ADP] and
GATP were
calculated by using the formulas and constants of Harkema and Meyer. At
first, the observed equilibrium constant
(Kobs) for the
creatine kinase (CK) reaction was calculated as
|
(2)
|
where
the equilibrium constant for the CK reaction,
KCK, is
1.75 · 108
mol
1 · l
1,
and fractions of total reactants,
fADP,
fPCr, and
fATP, are [ADP3
]/[
ADP],
[PCr2
]/[
PCr],
and
[ATP4
]/[
ATP],
respectively. The latter terms were calculated as in Harkema and Meyer (13), using the same formulas and constants. Free
[ADP] was then calculated as
|
(3)
|
GATP
was calculated by using Eq. 12 of
Harkema and Meyer (13). Because the CK reaction is assumed to be in
equilibrium (10, 22),
GATP is
assumed to match the free energy of PCr hydrolysis.
GATP was
calculated as
|
(4)
|
where R is the gas constant and T is the absolute
temperature, fPi is
[HPO2
4]/[
Pi],
and KATP, the
equilibrium constant for the ATP hydrolysis reaction, is assumed to be
0.129 (13).
Statistics.
All statistical tests were computed with PlotIt for Windows 3.1 (Scientific Programming Enterprises) or Statistica for Windows (Statsoft, Tulsa, OK).
The time constant
for [PCr] recovery was calculated by
using the following equation
|
(5)
|
In
this equation,
[PCr]20 s
represents [PCr] 20 s after ischemia, and
[PCr] is the difference between
[PCr]20 s and
the steady-state [PCr] at the end of recovery.
To estimate the ATP that was consumed by [PCr] recovery,
the first derivation of Eq. 5 was
obtained
|
(6)
|
The rate of [PCr] increase was estimated by
applying Eq. 6 to the results of each
experiment. The average rate of [PCr] recovery for 2 min
after ischemia was calculated to obtain a minimum estimate for
ATP consumption at that point.
Deviations from means are given as ±SD in the text and displayed as
SE bars in Figs. 2-8.
Two-factorial Huyn-Feld adjusted ANOVAs were performed as a priori
tests to test the hypothesis that the means were the same in the 20%
TF and 50% TF test, and at different periods. The parameters tested
were free [ADP],
[Pi], and
GATP. The
factors were "test" (level 1:
20% TF test; level 2: 50% TF test)
and "time" (level 1: resting
average; level 2: mean from 2 to 5 min
after ischemia; level 3: mean
from 17 until 20 min after ischemia). In case the two-factorial
ANOVA yielded a significant result, a Newman-Keuls test was performed
as an a posteriori test.
A least-squares linear regression was calculated to analyze the linear
relationship between [PME] and
[Pi] in the 50% TF
test after ischemia.
P < 0.05 was regarded as significant
for all tests.
 |
RESULTS |
All subjects performed the ischemic foot plantar flexion for 4 min at
20% of their TF. In the 50% TF test, eight subjects performed the
ischemic foot plantar flexion for 4 min. Three subjects, however,
stopped the foot plantar flexion after 129, 181, and 201 s. The resting
and recovery data of these subjects were used in the study.
During ischemic exercise, [PCr] decreased significantly to
values of 24.7 ± 3.0 and 8.0 ± 5.7 mmol/l in the 20% TF and
50% TF tests, respectively. After the occlusion cuff was opened,
[PCr] recovered significantly faster in the 20% TF test,
with a
of 28 ± 15 s (range: 10-53 s), than in the 50% TF
test, with a
of 43 ± 14 s (range: 26-63 s) (Fig.
2).

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Fig. 2.
Phosphocreatine concentration ([PCr]) in right calf before
and after isometric ischemic foot plantar flexion with 20 ( ;
n = 11) and 50% ( ;
n = 11) of subjects' TF. Values are
means ± SE. Time constant is measurement of velocity of
[PCr] recovery obtained by fitting a monoexponential
equation to [PCr] recovery. t, Time.
|
|
After the opening of the occlusion cuff, the pH recovered more slowly
than did [PCr] in both tests (cf. Figs. 2 and
3).

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Fig. 3.
pH in right calf before and after isometric ischemic foot plantar
flexion with 20 ( ; n = 11) and 50%
( ; n = 11) of subjects' TF. Rest
arrow, resting level of and . Values are means ± SE.
|
|
The Pi and PME peaks could be
resolved (Fig. 4). After ischemia,
[Pi] dropped
significantly below its initial resting concentration in both tests,
whereas the undershoot in the 50% TF test was more pronounced than in
the 20% TF test (Fig. 5, Table
1).

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Fig. 4.
31P-nuclear magnetic resonance
spectroscopy (31P-NMR) spectra
acquired during a 50% TF test. a,
Rest; b, end of exercise;
c, recovery (2 min 40 s after
ischemia), in which PCr is recovered,
Pi is lower than at rest, and
phosphomonoester (PME) peak is visible (arrow);
d, late recovery (11 min 40 s after
ischemia), in which Pi is
largely recovered and PME peak is hardly discernible. ppm,
Parts/million.
|
|

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Fig. 5.
Pi concentration
([Pi]) in right calf
before and after isometric ischemic foot plantar flexion with 20 ( ;
n = 11) and 50% ( ;
n = 11) of subjects' TF. Values are
means ± SE.
|
|
At the beginning of postexercise ischemia in the 50% TF test,
[PME] was 5.9 ± 2.0 mmol/l and significantly higher
than at initial rest. After ischemia, [PME] slowly
recovered to its initial resting value.
[PME] and
[Pi] correlated
negatively after complete [PCr] recovery in the 50% TF
test (Fig. 6).

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Fig. 6.
Significant negative correlation between PME concentration
([PME]) and
[Pi] in right calf
after isometric ischemic exercise with 50% of subjects' TF and
complete [PCr] recovery. Values are means ± SE.
Calculation was performed for period lasting from 4 to 20 min after
ischemia.
|
|
Calculated free [ADP] decreased significantly below its
initial resting concentration in the 50% TF test but not in the 20% TF test (Fig. 7, Table 1).

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Fig. 7.
Calculated free ADP concentration ([ADP]) in right calf
before and after isometric ischemic foot plantar flexion with 20 ( ;
n = 11) and 50% ( ;
n = 11) of subjects' TF. Values are
means ± SE.
|
|
The undershoots of both
[Pi] and free
[ADP] resulted in an undershoot of
GATP (Fig.
8, Table 1).

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Fig. 8.
Free energy of ATP hydrolysis
( GATP) in
right calf before and after isometric ischemic foot plantar flexion
with 20 ( ; n = 11) and 50% ( ;
n = 11) of subjects' TF. Values are
means ± SE.
|
|
 |
DISCUSSION |
First, the measurements and calculations and their limitations are
discussed. Following that, we discuss the implication of the
undershoots of free ADP, Pi, and
GATP with
respect to reactions that precede and follow the ATP synthesis step and
with respect to the control of oxidative phosphorylation.
Undershoots of free [ADP],
[Pi], and
GATP below
their initial resting concentrations.
Undershoots of [Pi]
after exercise (Fig. 5, Table 1) were also measured in other
31P-NMR studies (e.g., see Ref.
4). The most likely explanation is that
Pi was temporarily bound in
glycolytic sugar phosphates, which appear as a separate PME peak in a
high-field-strength 31P-NMR
spectrum during and after intensive exercise (4). Results of muscle
biopsy studies are in line with this hypothesis because they show
millimolar increases in glycolytic intermediates during intensive
exercise (17). The negative correlation between [PME] and
[Pi] after complete
[PCr] recovery (Fig. 6) was probably mostly due to
Pi liberation in the course of
glycogen resynthesis out of glycolytic intermediates. An uptake of
millimolar [Pi] into mitochondria, as suggested by Iotti et al. (14), is an unlikely cause
for the [Pi]
undershoot because mitochondrial volume is far too small for this.
Undershoots of free [ADP] below the resting concentration
(Fig. 7, Table 1) after ischemic and nonischemic heavy exercise have
also been calculated previously by Argov et al. (1) and Arnold et al.
(2), respectively. Mathematically, undershoots of free
[ADP] may be caused either by a slower proton (pH)
recovery, compared with the recovery of the other metabolites of the CK reaction, or by a [PCr] overshoot (19) or by both. A free
[ADP] undershoot has also been calculated for a
noncontracting skeletal muscle in which acidosis has been induced by
hypercapnia (13). However, because free [ADP] is
calculated, its correctness depends on the correctness of the
assumptions made (3). The most important prerequisite is that the CK
reaction was in, or very near to, chemical equilibrium during the
period of the undershoot. The chemical equilibrium of this reaction has
been demonstrated by means of
31P-NMR (10, 22). Because ATPase
flux was low during recovery, the CK reaction should have been in
chemical equilibrium at the point of the undershoot if this reaction
can generally equilibrate in vivo. With the approach of Harkema and
Meyer (13), an underestimation of free [ADP] at low pH was
probably avoided; however, this depends on the correctness of the
assumed Mg2+ and
K+ concentrations, the metabolite
dissociation constants, and the correct mathematical formulation (13).
The undershoot of
GATP in the
50% TF test was caused both by an undershoot of free [ADP]
and of [Pi], whereas
[ATP] did not change much throughout the experiments.
Undershoots of free ADP, Pi, and
GATP:
implications.
The most striking finding with respect to the
GATP
undershoot in the 50% TF test is its magnitude of 5 kJ/mol. Because of this, higher electrochemical potential gradients could theoretically have been produced, e.g., by ATP-dependent pumps like the
Ca2+ pump of the sarcoplasmic
reticulum and by
Na+-K+-ATPase.
The real electrochemical potential gradients produced by these pumps,
however, depended also on
G losses,
e.g., because of leaking, nonideal coupling, and on the pumping
stoichiometry. Furthermore, the
GATP
undershoot requires that the minimum
G of preceding steps, e.g., the
protonmotive force, must have been 5 kJ/mol more negative or that the
H+/ATP stoichiometry must have
changed to yield a net flux toward ATP synthesis.
According to all models that use solely free [ADP],
[Pi], or
GATP (3, 7, 9,
15, 16, 21, 23) as control factors of oxidative phosphorylation, the
rate of oxidative phosphorylation would have dropped considerably below
its initial resting level during recovery in the 50% TF test. This
would also be true if higher-order kinetics with respect to free ADP
would be assumed (16, 21). There are two arguments against an actual
undershoot of oxidative phosphorylation below resting level after
exercise. To our knowledge, no undershoots of whole body or isolated
muscle oxygen uptake under initial resting levels after intensive
exercise have been reported in the literature. In particular, there is no evidence that pronounced oxidative phosphorylation undershoots occur
as early as 2 min after exercise, as would be expected from the free
[ADP],
[Pi], or
GATP time
courses (Figs. 5, 7, 8). The second argument is that it is unlikely
that ATP resynthesis could have matched ATP consumption if an
undershoot of oxidative phosphorylation had actually occurred. If an
undershoot of oxidative phosphorylation had actually occurred, either
glycolytic ATP resynthesis would have increased or ATP consumption
would have decreased compared with initial rest, so as to maintain the
balance between ATP production and consumption. There is no evidence
for this.
[PCr] and pH were constant during postexercise
ischemia in both experiments. This confirms the previous
finding that glycolytic activity is negligible during postexercise
ischemia (24). It seems unlikely that glycolytic activity
increased after ischemia. This is supported by indirect
evidence: during recovery, the known glycogenolytic and glycolytic
control factors (free ADP, AMP, Pi, pH, and
Ca2+) were the same as at rest or
activating glycogenolysis and glycolysis less than at rest. This
indicates that glycolytic ATP production was not increased over initial
resting level at the time when the undershoots of [ADP],
[Pi], and
GATP occurred
in the 50% TF test.
There is also no evidence for decreased ATP consumption at the time
when the undershoots of [ADP],
[Pi], and
GATP occurred in the 50% TF test. The opposite is the case at the beginning of the
undershoots: 2 min after ischemia, free [ADP],
[Pi], and
GATP were
already lower than at initial rest. At this point the mean
[PCr] increase was 1.65 ± 1.31 mmol · l
1 · min
1.
Therefore, by itself the ATP need for PCr resynthesis at this point was
340% of the basal metabolic rate of 0.48 ± 0.12 mmol · l
1 · min
1
that has been measured with
31P-NMR in human skeletal muscle
(5).
Thus it is highly unlikely that a balance between ATP production and
ATP consumption can be achieved if it is assumed that free
[ADP],
[Pi], and
GATP are the
only control factors of oxidative phosphorylation. This implies that
control factors other than free [ADP],
[Pi], or
GATP (3, 7, 9,
15, 16, 21, 23) contribute to the control of oxidative phosphorylation, at least at the point where the undershoots of [ADP],
[Pi], and
GATP occurred
in the 50% TF test.
Possible explanations.
Undershoots in free [ADP] and
GATP below
resting levels at constant oxygen consumption can also be induced by
hypercapnic acidosis in a resting muscle (13). This indicates that the
additional control is not necessarily related to muscular contraction.
The fact that the free [ADP] undershoot in Harkema and
Meyer's study (13) and our study was due to acidosis suggests that
acidosis has an effect on oxidative phosphorylation. In vitro studies
in renal cortex mitochondria suggest that changes in the transmembrane pH gradient can occur if the pH of the surrounding medium is altered (11). If the cytosolic pH decreases, the inner membrane pH gradient and
the protonmotive force may increase, although proton leaking will
diminish this increase (6). If the protonmotive force increases, the
rate of oxidative phosphorylation will also rise (25), and this may
compensate for the lower activation by free ADP,
Pi, or
GATP at the
point of their undershoots.
Acidosis also affects the free energy available from NADH oxidation.
However, because the pH changes in our studies were smaller and because
the
GATP
changes were larger in our study than in others (13), this effect was
negligible in our study.
31P-NMR yields cytosolic estimates
of free ADP, Pi, or
GATP.
Oxidative phosphorylation, however, takes part in the matrix of the
mitochondrion because the catalyzing
F1 portion of the
F0F1-ATPase is orientated toward the matrix. If the transport of ADP,
Pi, and ATP would be affected by
acidosis, ischemia, or contraction, the relationship between
extra- and intramitochondrial free [ADP], [Pi], and
GATP would
also change. Pi is transported
together with a proton inside the mitochondrion (26). Thus a change in the transmembrane pH gradient will alter the intramitochondrial [Pi] at a given
cytosolic [Pi]. ATP
and ADP are exchanged via an electrogenic carrier (18). Changes in the
transmembrane voltage, e.g., because of changes in the ionic
composition of the cytosol, would alter the intramitochondrial
[ATP]-to-[ADP] ratio at a given cytosolic
[ATP]-to-[ADP] ratio.
Some contraction-related effects may have played a role in our study.
If the cytosolic Ca2+
concentration increases during muscular contraction, more
Ca2+ is transported into the
mitochondria via a Ca2+ carrier.
Intramitochondrial Ca2+ activates
dehydrogenases of the Krebs cycle (12), which may affect the
[NADH]-to-[NAD+]
ratio and, via this, the protonmotive force.
Ca2+ might also release a
Ca2+-sensitive inhibitor protein
from the H+-transporting ATP
synthase in skeletal muscle (27).
A recent study suggests that aldosterone may have a rapid nongenomic
effect on [PCr] resynthesis after exercise (28). Finally, all the control mechanisms discussed above might control oxidative phosphorylation differently in different muscle fiber types (19).
In conclusion, oxidative phosphorylation seems to depend not only on
free [ADP],
[Pi], or
GATP. Several
acidosis-related or other factors may control oxidative phosphorylation
additionally, at least under some conditions.
 |
FOOTNOTES |
Address for reprint requests: H. Wackerhage, Dept. of Applied
Biology, Univ. of Central Lancashire, Preston PR1 2HE, UK (E-mail:
h.wackerhage{at}uclan.ac.uk).
Received 3 December 1997; accepted in final form 4 August 1998.
 |
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