|
|
||||||||
Laboratory of Sports Sciences, Department of Life Sciences, Graduate School of Arts and Sciences, University of Tokyo, Meguro, Tokyo 153-8902, Japan
| |
ABSTRACT |
|---|
|
|
|---|
Muscle fascicle lengths of vastus lateralis (VL) muscle were measured in five healthy men during slow pedaling to investigate the interaction between muscle fibers and tendon. Subjects cycled at a pedaling rate of 40 rpm (98 W). During exercise, fascicle lengths changed from 91 ± 7 (SE) to 127 ± 5 mm. It was suggested that fascicles were on the descending limb of their force-length relationship. The average shortening velocity of fascicle was greater than that of muscle-tendon complex in the first half of the knee extension phase and was less in the second half. The maximum shortening velocity of fascicle in the knee extension phase was less than that of muscle-tendon complex by 22 ± 9%. These discrepancies in velocities were mainly caused by the elongation of the tendinous tissue. It was suggested that the elasticity of VL tendinous tissue enabled VL fascicles to develop force at closer length to their optimal length and kept the maximum shortening velocity of VL fascicles low during slow pedaling.
tendon elasticity; force-length relationship; ultrasonography
| |
INTRODUCTION |
|---|
|
|
|---|
THE FORCE EXERTED BY MUSCLE fibers produces joint torque and simultaneously deforms the tendinous tissue (external tendon, aponeurosis). The deformation of the tendinous tissue results in the change of the relationship between the length of muscle-tendon complex (MTC) and muscle fibers. Therefore, considering the fact that fiber length and contraction velocity affect the capability of developing force in accordance with force-length and force-velocity relationships, tendon mechanical properties influence the relationship of muscle force to joint angle and/or to angle velocity (5).
Many authors have investigated material and structural properties of the tendinous tissue on the basis of experiments on animals (20, 27-29) and human cadavers (2, 23). Regarding characteristics of human tendinous tissue in vivo, some authors have developed methodology with ultrasonography (8, 19, 21, 22, 24). However, few studies have quantitatively and experimentally investigated the effect of mechanical properties of tendinous tissue on muscle fiber behavior during actual human movements. So far, attempts have been made to estimate such interactions between muscle fibers and tendon on the basis of the results of in vitro experiments because of the difficulties in measuring the human tendinous tissue length in vivo (1, 9).
The movements by which a muscle shortens actively immediately after being stretched in the contracted state by an external force are called stretch-shortening cycle movements and are thought to be a good representation of the importance of the elasticity of tendinous tissue. Stretch-shortening cycle movements are common in activities of daily living such as walking (12) and running (16). The elastic energy storage and release in tendinous tissue contribute to the enhancement of the efficiency of the movement (7). However, it is not clear how the elasticity of tendinous tissue contributes to the movements composed of only muscle shortening. In such movements, the shortening velocity of muscle fibers in the beginning of movements will be greater than that of MTC. Furthermore, part of the energy produced by muscle fibers will be stored in tendinous tissue and not contribute to joint motion in this phase. Thus these phenomena might be ineffective for some movements.
In this study, we investigated the length change and contraction velocity in MTC, muscle fascicles, and tendinous tissue of vastus lateralis (VL) muscle in vivo using ultrasonography during slow pedaling. VL is almost inactive over the knee flexion (MTC lengthening) phase during cycling (26, 30). The aim of this study was to quantitatively define the length and contraction velocity behaviors of the VL MTC, fascicles, and tendinous tissue during slow pedaling. The length and contraction velocity of fascicles were interpreted with respect to their implications for force-length and force-velocity relationship of fascicles. Because VL plays an important role in producing power during cycling (6), force-length and/or force-velocity relationships of VL fascicles should be related to cycling performance.
| |
METHODS |
|---|
|
|
|---|
Subjects. Subjects were five healthy men [age 24.6 ± 0.2 (SE) yr, height 171.4 ± 2.5 cm, mass 66.7 ± 2.8 kg, thigh length 40.0 ± 0.7 cm]. They were not cyclists and did not ride a bicycle as a part of their training regimen. The experimental protocol was explained to all subjects, and their informed consent was obtained.
Cycling exercise.
Subjects cycled at a pedaling rate of 40 rpm at a power output of
98 W without toe straps on a cycle ergometer (model 814E, Monark,
Varberg, Sweden). Because of limitations in the sampling rate of
ultrasonography (30 Hz), it is not possible to obtain ultrasound images
clear enough for latter analyses at higher pedaling rates. Preliminary
experiments showed that, when cycling at the pedaling rate of 40 rpm,
knee joint angle velocity was <160°/s and that fascicle length can
be measured as shown by Ichinose et al. (15).
Subjects kept constant pedaling rate of 40 rpm with the help of a
metronome (model SQ-77, Seiko, Tokyo, Japan). The saddle height was
adjusted to the distance between the greater trochanter and sole, a
distance requiring the least oxygen consumption (25). The
foot was positioned at the center of the pedal in contact with the ball
of foot. The trunk was inclined forward 10-20° from the vertical
(Fig. 1).
|
Measurement of fascicle length.
Longitudinal images of VL in the right leg were obtained by a B-mode
ultrasound apparatus (model SSD-2000, Aloka, Tokyo, Japan) at a
sampling frequency of 30 Hz with an electronic linear array probe of
7.5 MHz. The probe was positioned 2 cm distal to the center of the
thigh, which was defined by the greater trochanter proximally and the
lateral condyle of the femur distally. To avoid movement of the probe,
the probe was firmly placed on the dermal surface by double-sided
adhesive tape (model NW-K25, Nichiban, Tokyo, Japan) and surgical tape
(DERICLEAR2, Johnson & Johnson, Tokyo, Japan). In addition, an expanded
polystyrene block that was also placed on the dermal surface adjacent
to the probe limited the movement of the probe relative to the dermal
surface. The cycle ergometer we used was equipped with the
switch. While the subject was cycling stably in a given condition, the
electrical signal triggered by the switch was transferred to the
ultrasound apparatus at a crank angle of 260° [top dead center (TDC)
of the crank was 0°]. This signal was also transferred to high-speed camera and recorded together with electromyograph (EMG) data for the
synchronization (Fig. 1). Forty-two images preceding the signal that
covered a range from 68° before TDC to 260° after TDC were stored
in the computer memory of the ultrasound machine, before being printed
on paper at ×1.12 magnification. Fascicle lengths were measured from
these printed images using a curvimeter or map measurer (10, 14, 15, 17; Comcurve-8, Koizumisokki, Tokyo, Japan). Fascicle lengths were
always measured along their path. Fascicle lengths were too long to be
visualized over their lengths within one ultrasound image. Therefore,
the directions of superficial and deep aponeuroses and fascicles were
extended by straight lines (Fig. 2). Both
parts around origin and end of fascicles were extended separately
because fascicles were curved. However, when the fascicle curvature was
unpredictable from one ultrasound image (Fig. 2; dotted lines), we
could not obtain accurate fascicle lengths by this extrapolation
method. Therefore, less curvature of fascicles, especially around their
origin and end, was more desirable for measuring of fascicle lengths
using the extrapolation method. In preliminary experiments, we found
that the extent of fascicle curvature tended to increase at the
extremity of muscle, especially at the proximal region, and that the
probe position described above was the best position for the
extrapolation method. To evaluate the validity of this
extrapolation method, we compared the fascicle lengths determined using
this method (Lfext; Fig. 2B) with the fascicle lengths measured directly from three successive images that
contained a whole fascicle (Lfdir; Fig.
2A) for three subjects during submaximal isometric knee
extension (0 and 60 Nm) at several knee joint angles (30, 45, 60, 75, 90, and 105°; 0° corresponded to full knee extension). We obtained
three images so that adjacent images have common parts, and their
printed images were carefully superposed according to common parts.
Additionally, reproducibility of measurements was tested by an expert
examiner from the measurement for one subject performing twice.
|
Measurement of EMG.
Electrical activity of VL was sampled at 1,000 Hz during the same cycle
in which fascicle lengths were measured. After careful abrasion of the
skin, bipolar surface Ag-AgCl electrodes (5 mm in diameter) were placed
on the center of VL muscle belly in the right leg with an
interelectrode distance of 3 cm. The ground electrode was placed over
the patella. The electrodes were connected to a preamplifier (model
1272, San-ei, Tokyo, Japan; input impedance >200 M
, common mode
rejection ratio >60 dB) and a differential amplifier having a
bandwidth of 5 Hz to 1 kHz (1253A, NEC Medical Systems, Tokyo, Japan)
to avoid electrical and mechanical noise. Records sampled from each
cycle were full-wave rectified, integrated (integrated EMG) every 15°
for crank angles from
45 to 255° or every 5° for knee joint
angles from 40 to 115° and normalized to the highest value achieved
in each cycle.
Calculation of length changes in MTC, fascicle,
and tendinous tissue.
All trials were filmed using a high-speed camera (MEMRECAM c2s, Nac,
Tokyo, Japan) at a sampling frequency of 200 Hz. The camera was located
perpendicular to the sagittal plane of the subject at a distance of
3.5 m. Markers were applied to the skin overlying the greater
trochanter, the approximate center of rotation of the knee joint, and
the lateral malleolus to determine the knee joint angles. The films
were analyzed using a motion analyzer (Frame-DIAS, DKH, Tokyo,
Japan). The coordinates of the markers were filtered with a
Butterworth fourth-order low-pass filter (zero lag; cut-off frequency,
15 Hz). The length change of VL was calculated using data from Visser
et al. (31), who reported the relationship between knee
joint angles and the length change of VL muscle that was determined
from the experimental results on six legs of five human cadavers. They
divided VL muscle into lateral and medial parts, so we used the average
length changes of them. Additionally, markers were applied to the
center of the crank and center of the right pedal to determine the
crank position. The repeatability of the relationship between the knee
joint angles and the crank angles was tested by coefficient of
variation (CV) at several crank angles (0, 45, 90, 135, 180, 225, and
260°), and the average CV for each subject was <1%. Lengths of MTC
and fascicles were expressed as length changes (
Lf and
Lmtc, respectively) from each reference length which was
the average length in the crank angle from 196 to 260° where the EMG
activity of VL was scarcely observed. The length change of the
tendinous tissue (
Lt) was calculated according to the
following formula
|
o, and
are fascicle
length, the reference length of fascicle, the reference pennation angle
of fascicle (average pennation angle in the crank angle from 196 to
260°), and the pennation angle of fascicle, respectively. The
pennation angles were measured as angles between fascicles and deep
aponeurosis (Fig. 2).
Statistics. Validity and reproducibility of fascicle length measurement were tested by regression analysis, CV, and Student's t-test. The differences between fascicle and MTC in contraction velocity were tested by Student's t-test. Significance was accepted at P < 0.05.
| |
RESULTS |
|---|
|
|
|---|
Validity and reproducibility of fascicle length measurement by extrapolation method. The values for r were 0.99 between Lfext and Lfdir and were 0.98 and 0.99 between the first and the second measurement for Lfext and Lfdir, respectively. There were no significant differences in all three relationships. CV ranged from 0.0 to 3.7% between Lfext and Lfdir, and it ranged from 0.7 to 3.5 and from 0.1 to 2.0% between the first and the second measurement for Lfext and Lfdir, respectively.
Length changes of fascicle, MTC, and tendinous
tissue.
During slow pedaling, fascicle length changed from 91 ± 7 (SE) to
127 ± 5 mm for knee joint angles changing from 39 ± 3 to 114 ± 1° (0 degree = full knee extension).
Lf,
Lmtc, and
Lt were
expressed as a function of crank angle (Fig.
3A). In the knee extension
phase,
Lt reached 10 ± 1 mm. Assuming that the slack length of VL tendinous tissue was 225 mm (13), the
strain of VL tendinous tissue reached 4%. Reported values of strain of the tendon are 5% for human medial gastrocnemius muscle during 90%
maximal voluntary contraction (24) and 3% for human
tibialis anterior muscle during maximal torque development by
electrical stimulation (22). Reported values of
aponeurosis are 6% for human medial gastrocnemius muscle during 90%
maximal voluntary contraction (24) and 7% for human
tibialis anterior muscle during maximal torque development by
electrical stimulation (22). Our result (4%) was within
the range of previous results mentioned above, although the previous
results were obtained at higher muscle forces. Fascicle lengths in the
knee extension phase were shorter than those in the knee flexion phase
at same knee joint angles (Fig. 3B).
|
Contraction velocity of fascicle and MTC.
Contraction (shortening) velocity of fascicle and MTC in the knee
extension phase was expressed as a function of crank angle (Fig.
4A) and knee joint angle (Fig.
4B). The shortening velocity of MTC gradually increased in
most of the knee extension phase (73%; crank angle =
23 to
105°), but that of fascicle became maximal in the first half of the
knee extension phase (P1; crank angle = 66°). The maximum
shortening velocity of fascicle (62 ± 6 mm/s) in the knee
extension phase was less than that of MTC by 22 ± 9% (80 ± 8 mm/s). In P1 (crank angle =
23 to 66°), the shortening
velocity of fascicle (average 49 ± 4 mm/s) was greater than that
of MTC (33 ± 2 mm/s) by a maximum of 25 ± 1 mm/s. In contrast, in the second half (P2; 66 to 150°), the shortening velocity of fascicle (average; 43 ± 6 mm/s) was less than that of
MTC (62 ± 6 mm/s) by a maximum of 37 ± 7 mm/s.
|
EMG. The EMG activity of VL was limited mostly to the knee extension phase (Fig. 4A), though it could be observed in just start of the knee flexion phase when the electromechanical delay (EMD) of 89 ms (30) was taken into account. The EMG activity increased rapidly when the knee started to extend and reached its maximal value at the crank angles of 0-15° (the knee joint angles of 85-90°), followed by a gradual decrease up to the crank angles of 90-105° and a rapid decrease thereafter. When considering EMD, the maximal EMG value was obtained at the crank angles of 45-60° (the knee joint angles of 95-100°) and gradual decrease was observed up to the crank angles of 120-135°.
| |
DISCUSSION |
|---|
|
|
|---|
In this study, the directions of superficial and deep aponeuroses and fascicles were extended by straight lines to measure the fascicle length. Fascicles measured in this study were not always straight as suggested in previous papers (17, 34). If fascicle curvature was large around origin and end part of fascicles as shown in Fig. 2 (dotted lines), it would be difficult to predict the whole shape of the fascicle. However, fascicle curvature was small enough for us to obtain fascicle lengths accurately and reproducibly.
The EMG profile of VL with respect to crank position was similar across subjects (see Fig. 4), and our results were consistent with previously published results (26, 30). It can be said that VL is generally active in the knee extension phase and inactive in the knee flexion phase during cycling even if EMD was taken into account, and our results showed that fascicle lengths in the active phase were shorter than those in the inactive phase at the same knee joint angle (i.e., at the same MTC length) (Fig. 3B). This was consistent with previous findings in that contracting fibers elongated the tendinous tissue (10, 14, 17).
Force-length relationship of muscle fibers affects their capability of force development. Our results showed that fascicle length of VL changed from 91 to 127 mm during slow pedaling. Recently, Ichinose et al. (14) investigated the force-length relationship of VL fascicles (sum of the force-length relationship of each fascicle in VL) in human in vivo using ultrasonography. They found that, when the subjects performed their maximal voluntary knee extension exercise isometrically with the knee positioned at 70° of flexion, the maximal VL muscle force was obtained and VL fascicle length was 78 mm. The characteristics of subjects in the present study were similar with their study [present study vs. previous study (mean ± SD): height, 171.4 ± 5.5 vs. 168.5 ± 5.2 cm; mass, 66.7 ± 6.3 vs. 65.8 ± 5.7 kg]. In addition, Wickiewicz et al. (32) showed that muscle length-to-fiber length ratios were generally consistent throughout the muscles. Taking these findings into account together with our results on fascicle length, it can be assumed that only the descending limb of the force-length relationship of fascicles was used during the cycling task in this study. Therefore, the position in which the knee is more extended, where the net knee joint moment changes to flexion moment (11), is better for the force production of VL fascicles in the low-intensity pedaling adopted in this study. When cycling against higher pedaling load that requires VL fascicles to produce larger forces, the middle of the knee extension phase where the net knee joint moment is large might be suitable for the force production of VL fascicles because of more lengthened tendinous tissue. In any case, the elasticity of the tendinous tissue allows VL fascicles to produce force at closer length to their optimal length.
Zuurbier and Huijing (33) have shown by animal experiments that there were differences in the length change and velocity between muscle fibers and MTC during isokinetic concentric contraction. Considering the elasticity of tendinous tissue, it is appropriate to assume that the shortening velocity of fibers is less (greater) than that of MTC because the fiber force decreases (increases) during MTC shortening, excluding the effect of pennation angle. The result of our experiment supported this, as shown in Fig. 4. In P1, the average shortening velocity of fascicle was greater than that of MTC by 50%. In contrast, the average shortening velocity of fascicle was less than that of MTC by 29% in P2. Bigland and Lippold (4) have shown that muscle force depends on its contraction velocity in accordance with force-velocity relationship even at submaximal excitation levels. Therefore, in terms of the force-velocity relationship, lengthening of VL tendinous tissue in P1 has a negative effect on the force producing potential of fascicles. In P2, VL tendinous tissue shortening enhances the force-producing potential of fascicles. Overall, the lengthening of VL tendinous tissue decreased the maximum shortening velocity of fascicles. This might allow fascicles to produce force during pedaling at faster rate.
Although we could not show the work accomplished by fascicles in P1 and P2 because the force developed by fascicles was unknown, it could be said that a part of the work accomplished by MTC in P2 was a part of the work accomplished by fascicles in P1. The elastic energy storage in VL tendinous tissue accounts for this phenomenon. When the elastic energy is released from the tendinous tissue, part is dissipated as a result of the viscosity of the tendinous tissue (3, 18). In future study, the dissipated energy should be shown by the measurement of the force applied to the tendinous tissue for better understanding of the role of the tendinous tissue in movements.
In conclusion, it was found through in vivo measurement of fascicle length that the length of VL tendinous tissue increased in P1 and decreased in P2 during slow pedaling. Fascicle length was on the descending limb of force-length relationship in the low-intensity cycling task adopted in this study. Because of the elasticity of tendinous tissue, the average shortening velocity of fascicles increased by 50% in P1 and decreased by 29% in P2 compared with that of MTC, and the maximum shortening velocity of fascicles less than that of MTC by 22%. It was suggested that the elasticity of VL tendinous tissue enabled VL fascicles to develop force at closer length of their optimal length and kept the maximum shortening velocity of VL fascicles small during slow pedaling.
| |
FOOTNOTES |
|---|
Address for reprint requests and other correspondence: T. Fukunaga, Laboratory of Sports Sciences, Dept. of Life Sciences, Graduate School of Arts and Sciences, University of Tokyo, Meguro, Tokyo 153-8902, Japan (E-mail: fukunaga{at}idaten.c.u-tokyo.ac.jp).
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
Received 17 October 2000; accepted in final form 6 July 2001.
| |
REFERENCES |
|---|
|
|
|---|
1.
Belli, A,
and
Bosco C.
Influence of stretch-shortening cycle on mechanical behaviour of triceps surae during hopping.
Acta Physiol Scand
144:
401-408,
1992[ISI][Medline].
2.
Benedict, JV,
Walker LB,
and
Harris EH.
Stress-strain characteristics and tensile strength of unembalmed human tendon.
J Biomech
1:
53-63,
1968.
3.
Bennett, MB,
Ker RF,
Dimery NJ,
and
Alexander RM.
Mechanical properties of various mammalian tendons.
J Zool Lond
209:
537-548,
1986.
4.
Bigland, B,
and
Lippold OCJ
The relation between force, velocity and integrated electrical activity in human muscles.
J Physiol (Lond)
123:
214-224,
1954.
5.
Bobbert, MF,
Huijing PA,
and
van Ingen Schenau GJ.
A model of the human triceps surae muscle-tendon complex applied to jumping.
J Biomech
19:
887-898,
1986[ISI][Medline].
6.
Ericson, MO,
Bratt A,
Nisell R,
Arborelius UP,
and
Ekholm J.
Power output and work in different muscle groups during ergometer cycling.
Eur J Appl Physiol
55:
229-235,
1986.
7.
Ettema, GJC
Mechanical efficiency and efficiency of storage and release of series elastic energy in skeletal muscle during stretch-shorten cycles.
J Exp Biol
199:
1983-1997,
1996[Abstract].
8.
Fukashiro, S,
Itoh M,
Ichinose Y,
Kawakami Y,
and
Fukunaga T.
Ultrasonography gives directly but noninvasively elastic characteristic of human tendon in vivo.
Eur J Appl Physiol
71:
555-557,
1995.
9.
Fukashiro, S,
Komi PV,
Jarvinen M,
and
Miyashita M.
In vivo Achilles tendon loading during jumping in humans.
Eur J Appl Physiol
71:
453-458,
1995.
10.
Fukunaga, T,
Ichinose Y,
Ito M,
Kawakami Y,
and
Fukashiro S.
Determination of fascicle length and pennation in a contracting human muscle in vivo.
J Appl Physiol
82:
354-358,
1997
11.
Gregor, RJ,
Cavanagh PR,
and
Lafortune M.
Knee flexor moments during propulsion in cycling
a creative solution to Lombard's paradox.
J Biomech
18:
307-316,
1985[ISI][Medline].
12.
Grieve, DW,
Pheasant S,
and
Cavanagh PR.
Prediction of gastrocnemius length from knee and ankle joint posture.
In: Biomechanics VI-A, International Series on Biomechanics, edited by Asmussen E,
and Jorgensen K.. Baltimore, MD: University Park, 1978, p. 405-412.
13.
Hoy, MG,
Zajac FE,
and
Gordon ME.
A musculoskeletal model of the human lower extremity: the effect of muscle, tendon, and moment arm on the moment-angle relationship of musculotendon actuators at the hip, knee, and ankle.
J Biomech
23:
157-69,
1990[ISI][Medline].
14.
Ichinose, Y,
Kawakami Y,
Ito M,
and
Fukunaga T.
Estimation of active force-length characteristics of human vastus lateralis muscle.
Acta Anat (Basel)
159:
78-83,
1997[ISI][Medline].
15.
Ichinose, Y,
Kawakami Y,
Ito M,
Kanehisa H,
and
Fukunaga T.
In vivo estimation of contraction velocity of human vastus lateralis muscle during "isokinetic" action.
J Appl Physiol
88:
851-856,
2000
16.
Jacobs, R,
Bobbert MF,
and
van Ingen Schenau GJ.
Function of mono- and biarticular muscles in running.
Med Sci Sports Exerc
25:
1163-1173,
1993[ISI][Medline].
17.
Kawakami, Y,
Ichinose Y,
and
Fukunaga T.
Architectural and functional features of human triceps surae muscles during contraction.
J Appl Physiol
85:
398-404,
1998
18.
Ker, RF.
Dynamic tensile properties of the plantaris tendon of sheep (Ovis aries).
J Exp Biol
93:
283-302,
1981
19.
Kubo, K,
Kanehisa H,
Kawakami Y,
and
Fukunaga T.
Elastic properties of muscle-tendon complex in long-distance runners.
Eur J Appl Physiol
81:
181-187,
2000[ISI][Medline].
20.
Lieber, RL,
Leonard ME,
Brown CG,
and
Trestik CL.
Frog semitendinosis tendon load-strain and stress-strain properties during passive loading.
Am J Physiol Cell Physiol
261:
C86-C92,
1991.
21.
Maganaris, CN,
and
Paul JP.
In vivo human tendon mechanical properties.
J Physiol (Lond)
521:
307-313,
1999
22.
Maganaris, CN,
and
Paul JP.
In vivo human tendinous tissue stretch upon maximum muscle force generation.
J Biomech
33:
1453-1459,
2000[ISI][Medline].
23.
Monleon, PM,
and
Diaz CR.
Nonlinear viscoelastic behaviour of the flexor tendon of the human hand.
J Biomech
23:
773-781,
1990[ISI][Medline].
24.
Muramatsu, T,
Muraoka T,
Takeshita D,
Kawakami Y,
Hirano Y,
and
Fukunaga T.
Mechanical properties of tendon and aponeurosis of human gastrocnemius muscle in vivo.
J Appl Physiol
90:
1671-1678,
2001
25.
Nordeen-Snyder, KS.
The effect of bicycle seat height variation upon oxygen consumption and lower limb kinematics.
Med Sci
9:
113-117,
1977.
26.
Ryan, MM,
and
Gregor RJ.
EMG profiles of lower extremity muscles during cycling at constant workload and cadence.
J Electrocardiol
2:
69-80,
1992.
27.
Scott, SH,
and
Loeb GE.
Mechanical properties of aponeurosis and tendon of the cat soleus muscle during whole-muscle isometric contractions.
J Morphol
224:
73-86,
1995[ISI][Medline].
28.
Taylor, DC,
Dalton JD,
Seaver AV,
and
Garrett WE.
Viscoelastic properties of muscle-tendon units.
Am J Sports Med
18:
300-309,
1990
29.
Trestik, CL,
and
Lieber RL.
Relationship between Achilles tendon mechanical properties and gastrocnemius muscle function.
J Biomech Eng
115:
225-230,
1993[ISI][Medline].
30.
Van Ingen Schenau, GJ,
Dorssers WMM,
Welter TG,
Beelen A,
de Groot G,
and
Jacobs R.
The control of mono-articular muscles in multijoint leg extensions in man.
J Physiol (Lond)
484:
247-254,
1995[ISI].
31.
Visser, JJ,
Hoogkamer JE,
Bobbert MF,
and
Huijing PA.
Length and moment arm of human leg muscles as a function of knee and hip-joint angles.
Eur J Appl Physiol
61:
453-460,
1990.
32.
Wickiewicz, TL,
Roy RR,
Powell PL,
and
Edgerton VR.
Muscle architecture of the human lower limb.
Clin Orthop
179:
275-283,
1983.
33.
Zuurbier, CJ,
and
Huijing PA.
Influence of muscle geometry on shortening speed of fibre, aponeurosis and muscle.
J Biomech
25:
1017-1026,
1992[ISI][Medline].
34.
Zuurbier, CJ,
and
Huijing PA.
Changes in geometry of actively shortening unipennate rat gastrocnemius muscle.
J Morphol
218:
167-180,
1993[ISI][Medline].
This article has been cited by other articles:
![]() |
B. R. Umberger and P. E. Martin Mechanical power and efficiency of level walking with different stride rates J. Exp. Biol., September 15, 2007; 210(18): 3255 - 3265. [Abstract] [Full Text] [PDF] |
||||
![]() |
D. F. Hoyt, S. J. Wickler, A. A. Biewener, E. A. Cogger, and K. L. De La Paz In vivo muscle function vs speed I. Muscle strain in relation to length change of the muscle-tendon unit J. Exp. Biol., March 15, 2005; 208(6): 1175 - 1190. [Abstract] [Full Text] [PDF] |
||||
![]() |
N. D. Reeves, M. V. Narici, and C. N. Maganaris Effect of resistance training on skeletal muscle-specific force in elderly humans J Appl Physiol, March 1, 2004; 96(3): 885 - 892. [Abstract] [Full Text] [PDF] |
||||
| ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
| Visit Other APS Journals Online |