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RAPID REPORT |
1 Applied Physiology Research Group, School of Sport and Exercise Sciences, University of Birmingham, Birmingham B15 2TT, UK2 Institute for Biophysical and Clinical Research into Human Movement, Manchester Metropolitan University, Alsager ST7 2HL, UK
| Abstract |
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(Received 6 February 2004;
accepted after revision 22 March 2004;
first published online 26 March 2004)
Corresponding author I. D. Loram: Applied Physiology Research Group, School of Sport and Exercise Sciences, University of Birmingham, B15 2TT, UK. Email: i.d.loram{at}bham.ac.uk
| Introduction |
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The stiffness of the Achilles' tendon and foot and their relevance to energy storage/release in locomotion has been known for some time (Alexander & Bennet-Clark, 1977; Ker et al. 1987; Fukunaga et al. 2001), but the relevance of tendon and foot stiffness to the control of standing had not been established. When the calf muscles are active, as in standing, this creates a certain intrinsic stiffness at the ankle joint. Measurements of ankle stiffness have previously been made (Kearney & Hunter, 1982; Hof, 1998; Mirbagheri et al. 2000; de Zee & Voigt, 2001; Maganaris, 2002) but it is only recently that the intrinsic stiffness present during the act of standing has been measured (Loram & Lakie, 2002a). This measurement is difficult to perform and full of uncertainties. The stiffness depends markedly on the size of the perturbation used to measure it (Kearney & Hunter, 1982) and it is difficult to be sure what structures surrounding the ankle joint are contributing to its value. If large perturbations are used the conditions of normal standing become impossible to sustain and if small perturbations are used the stiffness is difficult to measure unambiguously (Loram & Lakie, 2002a).
Small differences in the value of intrinsic ankle stiffness have profound differences for the mode of control necessary to sustain balance. If the stiffness is less than a critical value defined by the load stiffness (Fitzpatrick et al. 1992) the passive stiffness created by tonic muscle activity cannot stabilize balance (Morasso & Schieppati, 1999; Morasso & Sanguineti, 2002; Loram & Lakie, 2002b) and the nervous system is compelled to adopt a repetitive anticipatory control process (Morasso et al. 1999; Loram & Lakie, 2002b; Lakie et al. 2003). More particularly and less well known, low ankle stiffness predicts that balance can only be maintained if on average the soleus and gastrocnemius shorten when the person sways forwards and lengthen when the person sways backwards (Lakie et al. 2003). Using very small perturbations, our recent measurements of intrinsic ankle stiffness during standing have indicated that the stiffness is 91 ± 23% (mean ±S.D.) of the critical value (Loram & Lakie, 2002a). The ankle stiffness is likely to be greatest for small perturbations (Kearney & Hunter, 1982). Thus the stiffness in standing is likely to be less than 91% because on average ankle rotations during standing are slightly larger than the small perturbations that we used. Consequently we proposed a hypothesis that paradoxical movements of the calf muscle are the norm during standing sway (Lakie et al. 2003).
An incontrovertible test of our prediction is to observe changes in muscle length as they occur while a subject sways through a variety of angles. Accordingly we used a dynamic ultrasound scanner (ATL, HDI 3000) to view movement of the left soleus and gastrocnemius muscles in vivo. This novel combination of non-invasive high resolution moving images and automated tracking of muscle length enables the relationship of body (or limb) movement and muscle movement to be precisely determined.
| Methods |
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Three healthy, male subjects, aged between 34 and 49, were tested. Relative to their own gravitational toppling torque per unit angle, one had average intrinsic ankle stiffness (Loram & Lakie, 2002a) (mean 0.1 S.D.), one had higher than average ankle stiffness (Loram & Lakie, 2002a) (mean + 0.6 S.D.) and one had a tendon stiffness of twice the population mean (Maganaris & Paul, 2000) (mean + 2 S.D.). The subjects gave informed consent, and the study was approved by the local human ethics committee and conformed to the principles of the Declaration of Helsinki.
Ankle angle was measured by a laser range finder that was mounted on the support surface and reflected off the left shin. Left ankle torque was measured using a purpose built foot-plate with a single axis of rotation orientated with the ankle and a vertically mounted strain gauge. Surface EMG (IEMG,
= 100 ms) were recorded from the left soleus and gastrocnemius medialis. Details of the EMG recording method have been published previously (Loram et al. 2001)
An ultrasound probe was fixed along the calf to provide a parasagittal-plane view of the underlying muscles (Fig. 1A and B). In the typical sonograph provided (Fig. 1C), white streaks identify strands of intramuscular collagen. Thus fibres of gastrocnemius medialis descend from their proximal aponeurosis (A) to their distal aponeurosis (B), which is continuous with the Achilles' tendon. Fibres of soleus can also be seen descending from their proximal aponeurosis (D), which is rather faint, to their distal aponeurosis (C), which is also continuous with the Achilles' tendon. When either muscle shortens, the distal and proximal aponeuroses move approximately antiparallel relative to each other, and the angle of the fibres become more obtuse relative to the aponeurosis. By tracking and calculating the relative movement between both proximal and distal aponeuroses, any relative motion between the scanner probe and the muscle was eliminated and an estimate was formed of changes in muscle length. Unlike the method of observing both ends of complete muscle fascicles (Herbert et al. 2002), this method does not measure changes in fascicle length, which would actually be greater because of the pennation angle of the fascicles.
The muscle length tracking procedure was as follows. On the sonograph, eight points were identified along (i) the proximal ends of the gastrocnemius, (ii) the central aponeurosis, and (iii) the proximal ends of the soleus fibres (Fig. 1C). A square of pixels (typically 11 x 11) was centred on each point. One frame in the middle of the typically 1500 frame series (25 frames s1) was used as a base frame. 2-D cross-correlation was used to find the square of pixels in each of the other frames that best corresponded with each square in the base frame. Visual inspection of the tracking points was used to confirm that the points stayed with the muscle as the image moved. A movie (.avi) file is provided online for the reader to download and inspect (see Supplementary material).
For each muscle the vector displacement between arbitrary pairs of proximal and distal markers was calculated. Changes in displacement relative to the base frame gave the changes in interaponeurosis distance in both the vertical and horizontal directions. The vertical changes were much bigger than the horizontal changes. The central aponeurosis is visually parallel to the proximal aponeurosis of soleus and is parallel to the proximal aponeurosis of gastrocnemius to within 10 deg. Thus the orientation of the central aponeurosis was used to define the direction of changes in muscle length as opposed to the relatively small, perpendicular changes in muscle thickness. For each marker pair, changes in muscle length were calculated along this direction. The changes in muscle length were then averaged across all eight marker pairs to provide a mean. For each frame, the 95% confidence intervals in muscle length change were typically ± 0.24 mm and ± 0.28 mm for soleus and gastrocnemius, respectively.
| Results |
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| Discussion |
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Theory and experiment (Lakie et al. 2003) predict that the largest bias adjustments would be required by subjects with the lowest series elastic stiffness. Conversely, with unusually high series elastic stiffness the paradoxical muscle movements would not occur or might even become orthodox. This is confirmed by our measurements. With the stiffest subject the length of the muscle was weakly but negatively correlated with ankle angle (Fig. 3). For this subject (No. 3) the stiffness is close to the critical value and the series elastic tissue closely compensates the increment in gravitational torque with angle so that little change in the length of the muscle element is required. With the other subject (No. 2) who more closely approximated normal stiffness the muscle movements were clearly paradoxical as shown by the negative correlation between muscle length and ankle angle (Fig. 3). These results accord with the prediction that in standing paradoxical muscle movements are the norm.
The paradoxical muscle movements in standing are a consequence of the low stiffness of the series elastic tissue. This low stiffness leads to three inescapable conclusions. (i) Intrinsic ankle stiffness alone cannot stabilize the human body, (ii) muscle stretch reflexes cannot enhance the intrinsic ankle stiffness, and (iii) anticipatory control of muscle length is necessary to maintain balance.
The ankle joint stiffness is less than the stiffness of the weakest link in the series chain (muscle, aponeurosis, tendon, foot) according to the relationship:
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Rapid rotation of the ankle that occurs for example when one's foot turns on uneven ground may well stretch the calf muscles and stimulate a stretch reflex in the calf muscles. Rapid rotations of the foot about the ankle which are engineered in the laboratory may produce a similar result. However, in standing, the situation is different: forward sway is accompanied by a controlled shortening of these muscles rather than a stretch. The muscle movement is in entirely the wrong direction to cause a stretch reflex; accordingly muscle stretch reflexes cannot enhance ankle stiffness in quiet standing. Central, feedforward control of ankle stiffness by anticipatorily enhancing the resistance to stretch of soleus and gastrocnemius (Gatev et al. 1999) has seemed plausible. However, lengthening of an already activated gastrocnemius muscle in a spring-like manner to absorb body weight was not observed; rather, the already activated gastrocnemius muscle shortened to absorb body weight. Ultimately, even if the muscle were made entirely rigid, ankle stiffness would still be low, limited by the low stiffness of the tendon and foot.
As explained above, the compliant Achilles' tendon and foot leave the body intrinsically unstable and without recourse to stretch reflexes for stabilization (Rack, 1985). Moreover, because of the compliant tendon, the muscle spindles which register muscle length do not know the angle of the ankle joint (Rack, 1985; Herbert et al. 2002). Thus information concerning ankle angle must be used to control muscle length rather than muscle length used as a feedback signal to control body position.
To maintain balance at any angle the nervous system has to adjust muscle length by just the right amount to produce the appropriate bias of the tendon and the correct torque. In particular, previous experiments have predicted that the muscle and body must on average move in opposite directions (Lakie et al. 2003). Consequently the nervous system has no option but to operate in an anticipatory mode (Loram & Lakie, 2002b; Lakie et al. 2003). This is in agreement with the findings of Gatev et al. (1999) that the gastrocnemius muscle is activated in advance of body position. However, our result shows that the anticipatory control is of muscle length rather than muscle stiffness. Perhaps internal models are represented in the cerebellum (Morasso et al. 1999). Measurement of the low intrinsic ankle stiffness in standing (Loram & Lakie, 2002a), analysis of the ballistic character of sways (Loram & Lakie, 2002b) and investigations of balance in an analogous task using a weak spring (Lakie et al. 2003) provide increasing evidence that intermittent, ballistic-like adjustments in muscle length (the ballistic bias hypothesis) (Loram & Lakie, 2002b; Lakie et al. 2003) may be responsible for the apparently random sway pattern that is seen in quiet standing. The observations presented here are consistent with our ballistic bias hypothesis. The hypothesis needs to be tested by examining the dynamic control of muscle length during the small sways of quiet standing.
Since the time of the influential Sherrington School (Creed et al. 1932) posture has been thought of as something that is essentially static and distinct from movement. In this view, postural maintenance rests on the intrinsic properties of the muscles supplemented by variable amounts of integrated reflex activity. This schema, which originated from experiments on quadrupeds, has become rather generally accepted as underlying human standing.
Our result suggests, at least for slow voluntary sways of the body, that the muscles have to work dynamically and in anticipation of movement. Such postural adjustments cannot be brought about by changing the drive to a simple negative feedback control system such as segmental reflexes. They can only result from a higher order predictive controller. If our result can be shown to extend to natural quiet standing then many of the ideas which have been used to explain standing will be shown to be invalid. The question of muscle activity in quiet standing is presently under investigation.
| Supplementary material |
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DOI: 10.1113/jphysiol.2004.062398
An avi file shows real time moving ultrasound images of the gastrocnemius and soleus muscle, the tracking markers, and angle of sway of the subject.
This material can also be found at http://www.blackwellpublishing.com/products/journals/suppmat/tjp/tjp261/tjp261sm.htm
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