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Dissociated time course recovery between rate of forcedevelopment and peak torque after eccentric exerciseRenato Molina1,2 and Benedito S. Denadai1
1Human Performance Laboratory, Sao Paulo State University, UNESP, Rio Claro and 2Physical Education Department, Air Force Academy, Pirassununga, SP, Brazil
CorrespondenceBenedito S. Denadai, Human Performance
Laboratory, UNESP, Av. 24A, 1515, Bela Vista,
CEP 13506-900, Rio Claro, SP, Brazil
E-mail: [email protected]
Accepted for publicationReceived 29 September 2011;
accepted 8 November 2011
Key wordscreatine kinase; delayed-onset muscle soreness;
exercise-induced muscle damage; power; strength
Summary
This study investigated the association between Isokinetic peak torque (PT) ofquadriceps and the corresponding peak rate of force development (peak RFD)during the recovery of eccentric exercise. Twelve untrained men (aged21Æ7 ± 2Æ3 year) performed 100 maximal eccentric contractions for knee extensors(10 sets of 10 repetitions with a 2-min rest between each set) on isokineticdynamometer. PT and peak RFD accessed by maximal isokinetic knee concentriccontractions at 60� s)1 were obtained before (baseline) and at 24 and 48 h aftereccentric exercise. Indirect markers of muscle damage included delayed onset ofmuscle soreness (DOMS) and plasma creatine kinase (CK) activity. The eccentricexercise resulted in elevated DOMS and CK compared with baseline values. At 24 h,PT ()15Æ3%, P = 0Æ002) and peak RFD ()13Æ1%, P = 0Æ03) decreased significantly.At 48 h, PT ()7Æ9%, P = 0Æ002) was still decreased but peak RFD have returned tobaseline values. Positive correlation was found between PT and peak RFD at baseline(r = 0Æ62, P = 0Æ02), 24 h (r = 0Æ99, P = 0Æ0001) and 48 h (r = 0Æ68, P = 0Æ01)after eccentric exercise. The magnitude of changes (%) in PT and peak RFD frombaseline to 24 h (r = 0Æ68, P = 0Æ01) and from 24 to 48 h (r = 0Æ68, P = 0Æ01)were significantly correlated. It can be concluded that the muscle damage induced bythe eccentric exercise affects differently the time course of PT and peak RFD recoveryduring isokinetic concentric contraction at 60� s)1. During the recovery fromexercise-induced muscle damage, PT and peak RFD are determined but not fullydefined by shared putative physiological mechanisms.
Introduction
Typically, maximal force occurs after 300 ms from the onset of
maximal isometric voluntary contraction (MVC) (Aagaard et al.,
2002). However, fast and forceful muscle contraction during
explosive-type sports (e.g. jumping and sprint running)
involves contractions times between 50 and 250 ms (Aagaard
et al., 2002; Andersen & Aagaard, 2006). Therefore, time spans
involved in the explosive movements may not allow maximal
muscle force to be reached. In this case, the best functional
analysis is the rate of rise in muscle force at the onset of
contraction [i.e. rate of force development (RFD)] determined
under isometric (Aagaard et al., 2002; Andersen & Aagaard,
2006) and isokinetic conditions (Connelly & Vandervoort,
2000; Miller et al., 2006; Oliveira et al., 2010).
Some studies have found a positive correlation between RFD
and maximal force (Mirkov et al., 2004), especially the RFD
recorded in the later phase (more than 100 ms relative to the
onset of contraction) of the MVC (Andersen & Aagaard, 2006).
In addition, concomitant increases in maximal force and RFD
have been observed (Aagaard et al., 2002), which could be
attributed to shared putative mechanisms [e.g. discharge
doublets (Miller et al., 1981)] underlying maximal force ⁄ RFD
changes with resistance training. However, other researches
using different experimental designs (resistance training and
verbal instructions during protocol) have questioned whether a
direct relationship between maximal force and RFD exists
(Griffin & Cafarelli, 2005; Holtermann et al., 2007).
It is well documented that eccentric muscle actions are
associated with muscle damage (Clarkson, 1992, Byrne et al.,
2004; Racinais et al., 2008). Warren et al. (1999) have suggested
that the measures of mechanical muscle function [e.g. peak
torque (PT)] provide the most effective means of evaluating the
magnitude and time course of damage induced by eccentric
muscle actions. Recently, Racinais et al. (2008) have shown
acute PT loss after exercise-induced muscle damage, which was
partly attributed to an alteration in contractile properties ()23%
in electrically evoked mechanical twitch). However, PT failed to
Clin Physiol Funct Imaging (2012) 32, pp179–184 doi: 10.1111/j.1475-097X.2011.01074.x
� 2011 The AuthorsClinical Physiology and Functional Imaging � 2011 Scandinavian Society of Clinical Physiology and Nuclear Medicine 32, 3, 179–184 179
recover before the third day, while contractile properties had
completely recovered. Intrinsic muscle contractile properties
have been considered important for RFD, especially in the early
contraction phase (<100 ms) (Andersen & Aagaard, 2006).
These data highlight the possibility that the mechanisms
underlying PT and RFD may not be the same, supporting the
hypothesis proposed by Holtermann et al. (2007). To our
knowledge, no studies have analysed the relationship between
PT and RFD during recovery from exercise-induced muscle
damage.
Therefore, the purposes of the present study were twofold (i)
to describe the effect of maximal isokinetic eccentric exercise on
PT and RFD, and (ii) to compare and to correlate the magnitude
of changes in PT and RFD during recovery from exercise-
induced muscle damage. It is hypothesized that f PT and RFD are
mediated by similar physiological factors, PT will be as affected
as RFD by the exercise-induced damage. Moreover, the
magnitude of changes in PT and RFD will be correlated.
Methods
Subjects
Twelve male students (21Æ7 ± 2Æ3 years, 72Æ8 ± 9Æ8 kg,
175Æ4 ± 5Æ6 cm) who were physically active but none took
part in any regular physical exercise or sport programme
volunteered for the study. All subjects were healthy and free of
cardiovascular, respiratory and neuromuscular disease. All risks
associated with the experimental procedures were explained
prior to involvement in the study, and each participant
completed a written informed consent. The experiments were
conducted according to the Helsinki Declaration and approved
by the Institutional Review Board of the university.
Experimental design
Participants visited the laboratory for five times. During the first
visit, each participant was required to attend laboratory
familiarizations to lessen any effect of learning during
subsequent strength testing. In this session, they performed
one set of five-maximal concentric isokinetic knee extensions at
60�.s)1. In the second visit, indirect markers of muscle damage
[delayed onset of muscle soreness (DOMS), and plasma creatine
kinase activity (CK)] and neuromuscular variables (PT and RFD)
were determined. In the third visit, subjects performed the
eccentric exercise protocol. After 24 and 48 h of this session,
they returned to the laboratory to determine indirect markers of
muscle damage and neuromuscular variables. Figure 1 presents
an overview of the experimental design.
Testing procedures
A System 3 Biodex isokinetic dynamometer (Biodex Medical
Systems Inc., Shirley, NY, USA) and computer software were
used to measure the PT. Subjects were placed in a sitting
position and securely strapped to the test chair. Excessive
movement of the upper body was limited by two cross-over
shoulder harnesses and an abdominal belt. The trunk ⁄ thigh
angle was 95�. The axis of the dynamometer was aligned to
right knee �flexion–extension� axis, and the lever arm was
attached to the shank using a strap. The subject was asked to
relax their leg so that passive determination of the effects of
gravity on the limb and lever arm could be carried out. Ninety
degrees of knee flexion was measured manually using a
goniometer, and the range of motion (ROM) determined was
70� [from 90� to 20� knee flexion (0� = full extension)].
Subjects were instructed react to an audible signal generated by
the dynamometer to start isokinetic measurements. They were
asked to push the lever up as hard and fast as possible for knee
extensions.
Peak torque and total work measurements
The isokinetic data (PT, PT angle, PT time and work) were
analysed using specific algorithms created in MatLab environ-
ment (The MathWorks, Natick, MA, USA). Torque curves were
smoothed using a 10-Hz Butterworth fourth-order zero-lag
filters. After this, the contraction with the highest PT produced
1st visit 2nd visit 3rd visit 4th visit 5th visit
Eccentric exercise protocol
Familiarization
Baseline data collection
Data collection 24 h post eccentricexercise
Data collection 48 h post eccentricexerciseexercise exercise
24–48 h 48–72 h 24 h
48 hFigure 1 Schematic representation of theexperimental design.
Muscle damage and power, R. Molina and B. S. Denadai
� 2011 The AuthorsClinical Physiology and Functional Imaging � 2011 Scandinavian Society of Clinical Physiology and Nuclear Medicine 32, 3, 179–184
180
from three individual efforts was considered for further analysis.
The PT was taken in an averaged window of 10� around the PT.
In addition to the PT, other variables were also calculated during
this contraction: angle (PT angle) and time at which PT was
attained (PT time), and total work (area under the torque curve
during the whole contraction).
Rate of force development
The calculation of RFD was according to previous studies
(Aagaard et al., 2002; Oliveira et al., 2010), allowing for the
calculation of the maximal force development during the
contraction. Throughout the contraction, the RFD was derived
as the average slope of the moment–time curve (Dtorque ⁄ D-time) over time. The peak RFD was defined as the peak
Dtorque ⁄ Dtime over time achieved during the isokinetic
contraction (Oliveira et al., 2010). Onset of muscle contraction
was defined as the time point at which the moment
curve exceeded baseline moment by >7Æ5 Nm (Aagaard et al.,
2002).
Eccentric exercise
In the third visit, the eccentric exercise protocol was performed.
Each participant performed 100 maximal isokinetic (10 sets of
10 repetitions with a 2-min rest between each set) ⁄ eccentric
contractions for knee extensors of dominant leg at 60� s)1
(Paschalis et al., 2005). Participants exercised in the seat position
through a 70� range of motion from 160� extension to 90� knee
flexion. Each eccentric action of knee was followed by a passive
return to the start angle. Participants were instructed to resist
Table 1 Mechanical muscle function during maximal concentricisokinetic test at baseline and at 24 and 48 h after eccentric exerciseprotocol. N = 12.
Baseline 24 h 48 h
PT (Nm) 236Æ2 ± 50Æ9 200Æ0 ± 51Æ0a 217Æ4 ± 51Æ9a
PT angle (�) 67Æ9 ± 3Æ9 72Æ3 ± 5Æ2a 73Æ3 ± 3Æ2a
PT time (ms) 406Æ3 ± 62Æ6 313Æ3 ± 85Æ9a 310Æ8 ± 37Æ7a
Work (J) 286Æ2 ± 55Æ3 235Æ8 ± 62Æ4a 261Æ1 ± 63Æ4a
Peak RFD(N ms)1)
1546Æ6 ± 392Æ6 1342Æ7 ± 346Æ6a 1655Æ9 ± 388Æ6b
Time peakRFD (ms)
74Æ1 ± 37Æ0 73Æ3 ± 39Æ3 50Æ8 ± 31Æ7a,b
PT, peak torque; RFD, rate of force development.Values are means ± SD.aDifference from baseline values.bDifference from 24 h (P<0Æ05).
0
200
400
600
800
1000
1200
1400
1600
150100500
Pea
k R
FD
(N
m s
–1)
Time (ms)
Baseline 24 h 48 h
PeakRFD baseline
PeakRFD 24 h
PeakRFD 48 h
0
20
40
60
80
100
120
140
160
180
200
0 100 200 300 400 500 600
To
rqu
e (N
m)
Time (ms)
Baseline 24 h 48 h
PT baselinePT 48 hPT 24 h
(a)
(b)
Figure 2 Example of a maximal voluntaryconcentric isokinetic (60� s)1) quadricepscontraction before (baseline) and after (24 and48 h) eccentric exercise. Representative calcu-lated peak rate of force development (a) andpeak torque (b). Data are from one represen-tative subject.
Muscle damage and power, R. Molina and B. S. Denadai
� 2011 The AuthorsClinical Physiology and Functional Imaging � 2011 Scandinavian Society of Clinical Physiology and Nuclear Medicine 32, 3, 179–184
181
against the lever arm with maximal extension as the first
movement. Prior to the eccentric exercise, participants per-
formed a warm-up consisting of 5 min of cycling on a cycle
ergometer (Lode Excalibur Sport, Groningen, Netherlands).
Muscle damage indicators
Perceived muscle soreness was rated on an 11-point verbal
rating scale, where 0 is �no soreness� and 10 is �extremely
painful� (Hamill et al., 1991). Plasma creatine kinase activity was
determined in a spectrophotometer in duplicate using a
commercially available kit (CK_NAC UV AA, Wiener lab).
Statistical analysis
Mean ± SD was calculated for all variables. We used non-
parametric statistics after the normality and equal variance tests
were checked for all data. Within-group analysis was performed
using Friedman test to compare differences over time (baseline;
24 and 48 h posteccentric exercise) of the study on the
indicators of the muscle damage and isokinetic test. Wicoxon
signed rank test was used to compare the differences between
each pair of time points. The magnitude of changes in PT and
peak RFD were performed using the Spearman correlation test.
The significance was set at P£0Æ05.
Results
The protocol of eccentric exercises produced significant DOMS
at 24 h (3Æ8 ± 1Æ4 au; P = 0Æ002) and 48 h (4Æ1 ± 1Æ9 au;
P = 0Æ003) compared with baseline values (0Æ0 ± 0Æ0 au). CK
activity was significantly higher after 24 h (184Æ6 ± 44Æ7 U l)1;
P = 0Æ03) and 48 h (145Æ9 ± 60Æ9 U l)1; P = 0Æ03) of the
eccentric exercise, when compared to baseline (71Æ6 ±
26Æ8 U l)1).
Peak torque was reduced at 24 h ()15Æ3%, P = 0Æ002) and
48 h ()7Æ9%, P = 0Æ02) after eccentric exercise. In contrast, the
PT angle showed a significant increase by 6Æ4% (P = 0Æ009) at
24 h and 7Æ7% (P = 0Æ006) at 48 h posteccentric exercise. The
PT time decreased by 22Æ8% (P = 0Æ01) and 23Æ5% (P = 0Æ002)
at 24 and 48 h, respectively. The total work was reduced by
17Æ6% (P = 0Æ006) and 8Æ7% (P = 0Æ02) at 24 and 48 h,
respectively. Peak RFD ()13Æ1%, P = 0Æ03) decreased signifi-
cantly only at 24 h (Table 1 and Fig. 2).
There is no difference in change (%) between peak RFD
(86Æ8 ± 25Æ8%) and PT (84Æ6 ± 27Æ6%) from the onset of
muscle contraction to 24 h. However, the peak RFD recovery
(107Æ0 ± 23Æ4%) was higher (P = 0Æ004) than PT recovery
(92Æ0 ± 25Æ6%) at 48 h, relative to baseline values.
Positive correlation was found between PT and peak RFD at
baseline (r = 0Æ62, P = 0Æ02), 24 h (r = 0Æ99, P = 0Æ0001) and
48 h (r = 0Æ68, P = 0Æ01) after the eccentric exercise (Fig. 3).
The magnitude of changes (%) in PT and peak RFD from baseline
to 24 h was significantly correlated (r = 0Æ68, P = 0Æ01). Simi-
larly, there was significant correlation (r = 0Æ68, P = 0Æ01)
between magnitude of changes (%) in PT and peak RFD from 24
to 48 h (Fig. 4).
Discussion
In the present study, we have investigated the association
between PT and peak RFD during recovery of fatiguing eccentric
exercise. The main findings were that the magnitude of changes
in PT and peak RFD at 24 h were similar and significantly
correlated, suggesting that the relationship between PT and peak
RFD during the initial phase of recovery can be causal or
mediated by the same physiological changes. However, the
faster recovery of peak RFD at 48 h suggests that putative
mechanisms underlying maximal force ⁄ peak RFD changes
during intermediary recovery phase of muscle damage are not
completely shared.
Muscle damage results in an immediate and prolonged
reduction in muscle function, specifically the force-generating
0
500
1000
1500
2000
2500
0 100 200 300 400PT (N m)
Peak
RFD
(N m
s–1
)Pe
ak R
FD (N
m s
–1)
Peak
RFD
(N m
s–1
)
r = 0·68p = 0·02N = 12
0
500
1000
1500
2000
2500
0 100 200 300 400PT (N m)
r = 0·99p = 0·001N = 12
0
500
1000
1500
2000
2500
3000
0 100 200 300 400PT (N m)
r = 0·68p = 0·02N = 12
(a)
(b)
(c)
Figure 3 Relationship between peak torque and peak rate of forcedevelopment before (a) and at 24 (b) and 48 h (c) after eccentric exercise.
Muscle damage and power, R. Molina and B. S. Denadai
� 2011 The AuthorsClinical Physiology and Functional Imaging � 2011 Scandinavian Society of Clinical Physiology and Nuclear Medicine 32, 3, 179–184
182
capacity. Sites and mechanisms of failure in the neuromuscular
system responsible for altered muscle function after eccentric
exercise have been identified and demonstrated to be located
peripherally (i.e. E-C coupling failure, redistribution of sarco-
mere lengths, damage to contractile machinery and impaired
metabolism) rather than centrally (Byrne et al., 2004). However,
reduced voluntary activation during MVC after eccentric
exercise-induced muscle damage may indicate a supraspinal
modulation of muscle function (Racinais et al., 2008).
The protocol used in the present study was suitable to
produce changes in all indirect markers of muscle damage. The
magnitude of changes (expressed as absolute and relative values)
in these markers has presented great variability among studies.
This can be explained by both intersubject variability and the
characteristics of the protocol (intensity, number of repetitions,
range of motion and muscle group) used to induce muscle
damage (Nosaka et al., 2005; Paschalis et al., 2005; Crameri et al.,
2007). Thus, the comparison between our data and the
literature must be made with caution.
Moderate to high correlations between maximal muscle force
and RFD have been demonstrated during isometric MVC (Mirkov
et al., 2004; Andersen & Aagaard, 2006). In our study, PT and
peak RFD obtained during maximal isokinetic knee concentric
contractions at 60� s)1 were also significantly correlated,
particularly at 24 h from muscle damage. The association
between maximal muscle force and RFD seems to be influenced
by the time interval in which RFD is determined. Indeed,
Andersen & Aagaard (2006) have verified that RFD was
increasingly related to maximal muscle force and less dependent
on muscle contractile properties as the time from the onset of
contraction increased, particularly at time intervals later than
90 ms. Interestingly, in our study, the peak RFD was obtained at
�70 ms. The present result suggests that the acute neuromuscular
impairment determined by muscle damage increases the associ-
ation between PT and peak RFD, which was obtained during early
phase contraction (<100 ms). Racinais et al. (2008) have verified
significant acute reduction in PT, intrinsic muscle contractile
properties and voluntary activation (twitch interpolation) after
exercise-induced muscle damage. Moreover, PT and voluntary
activation failed to recover before the third day, while contractile
properties had completely recovered. Therefore, it is possible to
hypothesize that at 24 h, intrinsic muscle contractile properties
can mediate the increased association between PT and peak RFD.
The magnitude of changes in PT and peak RFD at 24 h were
similar and significantly correlated. Moreover, the correlation
between magnitude of changes in PT and peak RFD from 24 to
48 h were statistically significant. Our experimental design
precludes the conclusion as to whether the magnitude of
changes in PT and peak RFD during the initial phase of recovery
(24 h) are causal or mediated by the same physiological changes
(e.g. intrinsic muscle contractile properties). However, the
faster recovery of peak RFD at 48 h suggests that the hypothesis
of a direct causal association between PT and peak RFD can be
rejected. Maximal muscle force is influenced by muscle cross-
sectional area (Schantz et al., 1983) and neural drive to the
muscle fibres (Hakkinen et al., 1985). Thus, disruption within
the extracellular matrix (ECM) and ⁄ or between the ECM and
myofibres (Crameri et al., 2007) and the consequent changes in
–60
–40
–20
0
20
40
60
80
–50 –40 –30 –20 –10 0 10 20
% Change PT
% C
hang
e pe
akR
FD
% Change 0–24 h
% Change 24–48 h
Figure 4 Relationship between magnitudeof changes in peak torque (PT) (% change PT)and peak rate of force development (% changepeak RFD) from baseline to 24 h (O % change0–24 h –r = 0Æ68, P = 0Æ02) and from 24 to48 h (• % change 24–48 h )r = 0Æ68,P = 0Æ02).
Muscle damage and power, R. Molina and B. S. Denadai
� 2011 The AuthorsClinical Physiology and Functional Imaging � 2011 Scandinavian Society of Clinical Physiology and Nuclear Medicine 32, 3, 179–184
183
neural drive (Racinais et al., 2008) may still be present at 48 h
after exercise-induced muscle damage, leading to reduced PT.
Conclusion
According to our results, it can be concluded that the muscle
damage induced by the eccentric exercise affects differently the
time course of PT and peak RFD recovery during isokinetic
concentric contraction at 60� s)1. The faster recovery of peak
RFD at 48 h suggests that during the recovery from exercise-
induced muscle damage, PT and peak RFD are determined but
not fully defined by shared putative physiological mechanisms.
Therefore, PT and peak RFD should not be used interchangeable
to determine the recovery of muscle function after exercise-
induced muscle damage. Moreover, explosive-type muscle
actions seem to be less affected by muscle damage, than
muscular activities involving maximum force production.
Acknowledgments
We thank the subjects for participation in this study, and FAPESP
and CNPq for financial support.
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