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Department of Biomedical Engineering, Centre for Neuroscience, University of Alberta, Edmonton, Alberta, Canada
Submitted 7 December 2005; accepted in final form 5 January 2006
| ABSTRACT |
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| INTRODUCTION |
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Coherence, which measures the similarity between a pair of signals in the frequency domain (Challis and Kitney 1991
), such as EMG activity recorded from two muscles, can be used to infer information concerning the neural drive to a given set of muscles (Nielsen 2002
). The frequencies at which coherence occurs can be used to infer the source of drive to a pair of muscles as follows. Using electrodes placed on the scalp or directly on the motor cortex, it is possible to record activity associated with movement. Between two or more cortical sources coherence has been found at low frequencies (
10 Hz,
rhythm) and at higher frequencies (
2035 Hz,
rhythm) (Salenius and Hari 2003
). However, only the higher-frequency signal appears to be transmitted to the muscles as electroencephalogram/EMG or magnetoenceplalogram/EMG coherence is only found at these higher frequencies (Gross et al. 2000
). EMG/EMG coherence between muscle pairs also contains both higher- and lower-frequency bands (Grosse et al. 2002
). The higher-frequency coherence in EMG/EMG recordings isthought to originate from the cortex, whereas the lower-frequency component is thought to arise subcortically (Brown and Marsden 2001
; Farmer et al. 1993
). For example, in subjects with complete spinal cord lesions, EMG/EMG coherence is only found in the lower-frequency band (peaks in coherence at 10 and 16 Hz in individual subjects) (Norton et al. 2003
, 2004
), suggesting that the lower band is spinal in origin. In addition, EMG/EMG coherence in the higher-frequency band is reduced after stroke and spinal cord injury, providing evidence that it is supraspinally mediated (Farmer et al. 1993
; Hansen et al. 2005
).
The first objective of this study was to reconfirm that higher-frequency intermuscular coherence is mediated by supraspinal inputs. To do this, we compared the magnitude of higher-frequency (2440 Hz) coherence between hamstring and vastus lateralis EMG recorded during treadmill walking in subjects with little to no residual motor strength, i.e., subjects with little to no descending drive, and in subjects with moderate to good residual muscle strength, i.e., in subjects with moderate to good descending drive. We then compared if several months of intensive treadmill training produced increases in common descending drive to the hamstrings and vastus lateralis muscles by measuring changes in 2440 Hz coherence between these two muscles. Intermuscular coherence between 5 and 18 Hz was also measured to examine if there were changes in common drive having components from spinal sources. Finally, in a subset of subjects, we compared if changes in 2440 Hz coherence were associated with general increases in evoked muscle responses to TMS to determine if the coherence measurements were related to changes in direct measures of corticospinal tract connectivity. Parts of this paper have been published in abstract form (Norton and Gorassini 2005
).
| METHODS |
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4 mo (see Table 1 for individual training durations) for an hour at a time. Training consisted of partial body weight support and manual assistance of leg movements as required while the subjects walked on a motorized treadmill at a slow walking pace (0.81.5 km/h). Body-weight support and manual assistance of leg movements were decreased over time as the subject's ability allowed. Concurrent with the recording of EMG activity on the treadmill the ability of the subjects to walk overground was assessed using the WISCI II score. Muscle strength was assessed by the use of manual muscle testing performed by an experienced physiotherapist before and after the training program using a modified version of the MRC Manual Muscle Strength Scale (Medical Research Council 1976Data were collected from the iSCI subjects during walking trials, and so the number of steps taken in each trial varied with their ability. In all trials, subjects walked at a speed of 0.8 km/h because all subjects could walk at this speed both before and after training. Subjects also wore an electrogoniometer (Biometrics Limited, Ladysmith, VA) around their knee. Electrogoniometric data were used to segment the data set into individual steps (see following text and Fig. 1). EMG activity was recorded from the vastus lateralis, hamstrings, tibialis anterior, and soleus muscles bilaterally during walking using skin surface electrodes (Kendall Soft EH59P, Kendall · LTP, Huntingdon Beach, CA). EMG signals were preamplified, band-pass filtered (101000 Hz; Octopus, Bortec Technologies, Calgary, Canada) and stored on a PC for off-line analysis using AxoScope hardware and software (DigiData1200 Series and Axoscope respectively, Axon Instruments, Molecular Devices, Sunnyvale CA). Data were sampled at a rate of 5 kHz.
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The EMG activity for coherence analysis was selected from the period of hamstrings and vastus lateralis co-activation during the stance phase of walking (see Fig. 1A). We measured coherence during stance because the stance phase of walking can be considered quasi-stationary and coherence is known to be higher during the "hold" phase of a task compared with the "movement" phase (Kilner et al. 2000
). The period of co-activation, i.e., the EMG window, where coherence was measured was chosen as follows: a threshold crossing was determined for the knee angle (horizontal line in lower graph of Fig. 1A); a delay between the threshold crossing time (vertical line in Fig. 1A) and the onset of the co-activation period was determined (D in Fig. 1A); the length of time of the co-activation (EMG window) was determined (L in Fig. 1A), which on average was 225 ± 15 (SD) ms across all subjects. Placement of the EMG window was performed manually for 20 steps in each walking trial to determine the optimum delay and length values for the trial that were then used automatically for the remaining steps in the trial. On average, there were 7072 steps analyzed per subject per trial before and after training.
After selection of the EMG window, the data were passed through a Tukey window to reduce the amplitude of the signal at the edges of the window and allow the concatenation of samples without the introduction of high-frequency components at the joins of the segments. The EMG data were then rectified before coherence was calculated. Coherence between the two rectified EMG signals at frequency w was then calculated using the equation
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2.4 Hz (5-kHz sample rate/2,048 samples). Calculation of coherence was performed within the Matlab (Mathworks) environment using scripts based on those developed by Neurospec (www.neurospec.org) (Halliday et al. 1995
Coherence analysis should not be performed in isolation and the results must be interpreted in the light of other supporting evidence (Halliday and Rosenberg 1999
). Particularly important in this regard is the phase relationship between the muscles. Using the Neurospec software, the phase (Fig. 1B, inset) and cumulant density (Fig. 1C) were also calculated (Halliday and Rosenberg 1999
). The cumulant density is a form of the cross-correlogram. Peaks in the cumulant density indicate the relative timing of bursts of activity or periods of inactivity in the muscle pairs. The cumulant density in Fig. 1C peaks at about time 0, indicating that the common neural drive to the two muscles arrived at about the same time as expected for two muscles equidistant from the neural axis. The slope of the phase plot indicates the relative timing of the activity at a given frequency of the two muscles (see Fig. 1B, inset). In regions of significant coherence (above the 95% confidence line), the phase should be constant. However, the phase at different regions of significant coherence may not be consistent, i.e., if there is significant coherence between 5 and 18 Hz and 24 and 40 Hz, the phase relationship in these two different frequency bands need not be the same. The phase spectrum is only valid in the frequency band in which the coherence is statistically significant and hence only those regions are indicated in the phase plots. The x axis is marked in frequency, whereas the y axis is marked in radians. The slope of the line can be used to calculate the lag between the muscles in a frequency band. Both phase and cumulant density (or cross-correlogram) provide timing information; however, the information provided by both is complimentary because the phase splits the information into frequency regions while the cumulant density provides information about the global firing pattern (Halliday and Rosenberg 1999
) and thus must be shown together (Grosse et al. 2002
; Hamm and McCurdy 1994
; Mima and Hallet 1999
). We excluded records from subjects demonstrating cross-talk between the EMG records as exhibited by high, narrow peaks in the cumulant density at time 0, a high degree of coherence at all frequencies and a flat phase relationship at all frequencies. For example, cross-talk was evident between soleus and TA EMG in 4 of the 12 iSCI subjects, and thus these two muscles were not analyzed further in this study.
We divided the frequency spectrum into two bands of interest: 5-18 Hz and 2440 Hz. The lower-frequency band encompasses the range of frequencies that were measured in earlier studies in individuals with motor complete lesions from muscles below the lesion (Norton et al. 2003
, 2004
) and hence may be mainly spinal in origin. The higher-frequency band encompasses the
-rhythm that is believed to originate in the motor cortex and was not seen in individuals with complete lesions. Throughout the study, we used a 95% confidence interval to assess significance of the coherence (Amjad et al. 1997
) (see horizontal line in Fig. 1B). In each of the two frequency bands, we measured the area bounded by the coherence estimate and the significance limit in addition to the average amplitude of the significant coherence.
Coherence was also measured during walking and voluntary contractions in the three noninjured control subjects. Walking speeds were set to 0.8 km/h to match the speeds walked by the iSCI subjects. A similar number of steps (70) and a similar EMG analysis window (200 ms) were used to match the length of the concatenated data between the two groups. The analysis window was set to maximize the amount of cocontraction between the hamstrings and vastus lateralis EMG during stance, similar to that for the iSCI subjects. EMG measurements were repeated on two different days, separated by 1 wk, to test the day-to-day variability of the coherence measures in the noninjured control subjects.
TMS
Responses to TMS in subjects with iSCI were assessed as described previously (Thomas and Gorassini 2005
). TMS was produced by a Magstim 200 stimulator (Magstim, Wales, UK) and a large double-cone coil with an outer diameter of 125 mm and an inner diameter of 96 mm. Motor evoked potentials (MEPs) were measured from the tibialis anterior or vastus lateralis muscles using skin surface electrodes as subjects maintained a small background contraction (
10% of maximum). For each subject, the location on the scalp where the largest MEP could be evoked (hotspot) was determined using a stimulation intensity that was 1.2 times active motor threshold. A recruitment curve was then produced by measuring MEPs in response to increasing levels of stimulator output in steps of 5% of the maximal stimulator output (% MSO). In addition, the maximum motor response to direct motor nerve stimulation (Mmax) was recorded. The same testing protocol was used before and after training (Thomas and Gorassini 2005
) except that matched levels of absolute background EMG were used to match background levels of cortical and motoneuronal excitability pre- and posttraining. The percentage increase in MEPmax from training, which was the largest MEP in the recruitment curve, was determined by (MEPmax after MEPmax before)/MEPmax before. Percentage increase in MEPmax was plotted against the absolute increase in high-frequency (2440 Hz) coherence to examine if the two values were related.
Statistical analysis
Statistical analysis was performed using SPSS 13.0 for windows (SPSS). For data that was normally distributed (
2 for normality), we used the Students t-test; for nonnormally distributed data, we used the Mann-Whitney test. The Wilcoxon signed-rank test was used to compare ordinal WISCI II scores before and after training. We tested for correlation between percent increase in MEPmax and change in high-frequency coherence using Pearson's correlation test. Significance was set to 95%.
| RESULTS |
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To assess the magnitude of higher-frequency (2440 Hz) EMG coherence in subjects with differing levels of supraspinal input to their musculature, we divided the subjects into two groups based on their volitional muscle strength scores around the knee (see METHODS). Subjects with moderate voluntary activation of their knee muscles were considered to have moderate to good supraspinal input to the hamstrings and vastus lateralis muscles in contrast to the weaker subjects, who were considered to have little or no supraspinal control. Subjects were classed as moderately strong if they had a combined score of >10 (of 20, 8 subjects) or weak if their score was <10 (4 subjects, see Table 1). The initial muscle strength scores of the two groups were significantly different, (3.7 vs. 13.4, P < 0.05, Mann-Whitney test). The weak subjects also showed no improvement in their functional locomotor scores with training as assessed by the WISCI II scale (see Table 1) and are classified as nonresponders for the remainder of this paper. The strong subjects showed a statistically significant improvement in locomotor function after training as assessed by the WISCI II scale (6.75 ± 4.8 to 12.38 ± 6.4, P < 0.01, Wilcoxon test) and are classified as responders.
Figure 2 compares coherence computed from a nonresponder (A) and a responder (B) before locomotor training. The left panels illustrate the EMG (top 2 traces) from which the coherence was calculated and the knee joint angle (3rd trace). The responder shows better modulation of EMG amplitude over an averaged step-cycle than the nonresponder even in this pretraining state. Although both subjects show a large degree of co-activation of the musculature, the responder is able to reduce the amplitude of EMG to close to zero in both muscles and shows a smooth increase and decrease in EMG amplitude. In the nonresponder (A) there is very little coherence above the 95% confidence line in the lower-frequency band (518 Hz) and none in the higher-frequency band (2440 Hz). A broad peak of
100 ms was observed in the cumulant density (bottom right graph). In contrast the responder (B) shows statistically significant coherence in both the lower (518 Hz) and higher-frequency (2440 Hz) bands with a narrow central peak in the cumulant density.
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After 35 mo of training, a marked increase in higher-frequency (2440 Hz) coherence occurred in the responders but not in the nonresponders. As shown for the individual case in Fig. 3 A, the nonresponders showed some improvement in the modulation of their EMG over the gait cycle compared with their pretraining profiles (compare Figs. 2A and 3A, left) with a smoother modulation of EMG and a decrease in the amount of co-activation and minimum EMG. However, the nonresponders showed only small, nonsignificant changes in coherence in both the lower- and higher-frequency bands (top right graph) with an emergence of a narrower central peak in the cumulant density in three of the four subjects. A lack of a training effect on the average area of significant coherence for the nonresponders is reflected in the group results of Fig. 4 for both the low- and higher-frequency bands (P > 0.3 in both cases, paired t-test, see legend for post-training values). In contrast, the responders demonstrated a statistically significant increase in coherence in the higher-frequency band after training compared with before as shown for the individual subject in Fig. 3B and for the group results in Fig. 4 (0.21 ± 0.08 before to 0.47 ± 0.1 after, right side, P = 0.001, paired t-test). Figure 3B also shows the improved EMG and goniometric profile of a responder compared with before training (Fig. 2B, left) where there is greater modulation of EMG and decrease in cocontraction. The responders also showed a small increase in the area of lower-frequency coherence (from 0.42 ± 0.1 before to 0.49 ± 0.1 after, Fig. 4, left side), but this increase was not significant (P > 0.2, paired t-test). All eight responders maintained a narrow central peak in the cumulant density (e.g., Fig. 3B, bottom right graph).
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Relationship between coherence and functional walking recovery
To assess if increases in coherence in the responder group were related to improvements in walking function as assessed by the WISCI II score, we compared inter-muscular coherence from EMG data obtained on two separate occasions where the functional walking scores stabilized. In three responder subjects (1M, 2M, and 6M), intermuscular coherence was compared between the last 2 mo of treadmill training after the walking score had peaked. There were no appreciable changes in the mean area of high-frequency coherence between the last two recording sessions (0.46 ± 0.1 vs. 0.43 ± 0.2, P > 0.4, paired t-test), indicating a stable level of coherence alongside a stable functional walking score.
Relationship between 2440 Hz coherence and TMS
Because it is generally considered that 2440 Hz coherence is an indicator of common cortical drive to muscles, we examined if there was a relationship between changes in the area of coherence and changes in corticospinal tract connectivity as assessed by TMS. In 8 of the 12 subjects, changes in corticospinal tract function were assessed directly by TMS before and after training. We plotted the change in 2440 Hz coherence area against the percentage increase in the maximum MEP size evoked by TMS (MEPmax, Fig. 5). MEP responses were recorded in either the vastus lateralis or tibialis anterior muscle in both nonresponders (open symbols) and responders (closed symbols). There was a positive and significant relationship between the increase in MEPmax and in the area of coherence in the higher-frequency band (2440 Hz, r = 0.72, P < 0.02, Fig. 5).
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Coherence profiles obtained from neurologically intact subjects (n = 3) during walking and voluntary cocontractions were compared with the coherence profiles obtained from subjects with incomplete spinal cord injury. Walking speed was set at 0.8 km/h for these trials to match the walking speed to the injured trials. During treadmill walking, there was little coherence, particularly in the 2440 Hz band where the average area of coherence above the 95% confidence limit was not significantly different from zero (0.04 ± 0.03, P > 0.1, Mann-Whitney test, Fig. 6 A). There was some significant coherence near 5 Hz that may have been related to the walking speed (Neilsen 2002
). We also asked subjects to perform a strong voluntary cocontraction of the hamstrings and vastus lateralis, a task that would presumably require a greater amount of common corticospinal drive to these muscles (Fig. 6B). When control subjects performed this task, a significant peak in intermuscular coherence emerged around the 30-Hz frequency band that was statistically significant from zero (0.18 ± 0.05, P < 0.05, Mann-Whitney test). Although intermuscular coherence in noninjured controls were low compared with subjects with spinal cord injury, the measured area of significant coherence during walking and cocontractions were very reproducible when re-tested on a separate recording day for both the low- and higher-frequency coherence (inter-day values were not significantly different, P = 0.3 or greater, paired t-test).
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| DISCUSSION |
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The high-frequency (2440 Hz) coherence present in the moderately strong responders increased even further (doubled) after achieving improvements in walking function from intensive treadmill training. We propose that the increased coherence in the 2440 Hz frequency band represents an increase in common corticospinal drive to the hamstrings and vastus lateralis muscles because coherence in this band was related to direct measurements of corticospinal tract strength as assess from MEP responses to TMS (Thomas and Gorassini 2005
). In contrast, low-frequency (518 Hz) coherence, which is thought to be mediated mainly by spinal sources, did not change after training in either the nonresponder or responder group. There is every possibility that some components of the 518 Hz coherence were also mediated by common drive originating from the corticospinal tract (see Hansen et al. 2005
), but these frequencies appeared not to have any association with functional motor recovery as they were unchanged in both the nonresponder and responder group. Likewise, there is every possibility that components of the higher-frequency coherence contained drive from subcortical or spinal sources. Complete identification of the source of the coherence would require simultaneous recordings from the cortex, brain stem, spinal cord, and muscle during the movement. Direct recordings from motor cortex and muscle have been analyzed in the monkey (Jackson et al. 2002
) and in patients (Marsden et al. 2000
) and have provided further evidence for the cortical origin of the higher-frequency coherence at least to hand and upper limb muscles.
Because we found a positive relationship between the increase in the size of the MEP and the increase in coherence in the 2440 Hz band, it is likely that some of the changes underlying the increase in coherence were corticospinal in origin. The study by Thomas and Gorassini (2005)
indicates that increases in the excitability and strength of the corticospinal tract are associated with improvements in locomotor function from treadmill training. The coherence results expand this earlier study by revealing functional connectivity of the corticospinal tract during walking as opposed to just the presence of a pathway as revealed by TMS (anatomical connectivity) while seated and making a tonic voluntary contraction. The responders not only appear, therefore, to have an increased corticospinal capacity but to be able to make use of it during functional tasks such as walking. This is an important finding and one that could not have been made using conventional reflex or evoked response measures given that coherence is measured during the recording of a normal behavior rather than during an unrelated motor task (Neilsen 2002
).
Increases in common corticospinal drive to the hamstrings and vastus lateralis muscles from training could arise from changes occurring at both cortical and spinal levels. One possibility is that training produces a greater recruitment of cortical cells to activate more descending corticospinal tracts with common input to hamstring and vastus lateralis motoneuron pools. In the Thomas and Gorassini (2005)
study, increases corticospinal tract function were thought to involve changes occurring in the primary motor cortex because increases in MEP responses were also accompanied by increases in the incidence of subthreshold silent periods and in the duration of long-lasting (>100 ms) silent periods. Both these phenomenon are considered to be mediated by cortical, rather than spinal, circuits (Fuhr et al. 1991
; Ikeda et al. 2000
). In addition, treadmill training does not produce changes in the size or modulation of segmental reflexes evoked during walking (J. Yang and M. Gorassini, personal communication), suggesting that increases in corticospinal tract function were not largely influenced by increases in the strength of segmental circuitry.
Changes in high-frequency coherence are related to improvements in walking skill
Evidence that the changes in 2440 Hz coherence, and perhaps common corticospinal drive, were related to improvements in walking skill comes from several sources within this study. First, increases in high-frequency coherence were not produced simply from exposure to the training and testing program. Subjects who did not improve in their locomotor or muscle strength scores (nonresponders) but underwent the same training and testing program as subjects who did improve, did not show any significant changes in their patterns of coherence. Second, we analyzed the coherence pattern from three subjects who had shown improvements in locomotor skill and then plateaued. The pattern of coherence was not different between the two plateau sessions, but it was significantly greater between either of the plateau sessions and that obtained before the training. This supports our view that in the light of no changes in walking skill (as assessed by the WISCI II score), the coherence profile remained consistent. Finally, the changes in high-frequency coherence in the responder group were not simply due to posttraining increases in locomotor EMG activity. Coherence is a unitless, normalized measure of correlation (see METHODS), which means that the absolute amplitudes of the EMG signal are not a factor that affects the level of coherence (Halliday and Rosenberg 1999
). For example, during walking the noninjured control subjects had higher amplitude EMG than the responders but they had less measured coherence. As a corollary, the increase in coherence with training does not necessarily indicate an increase in amplitude or cocontraction of the EMG signal as responders demonstrated less cocontraction, but had more high-frequency coherence.
Functional and clinical implications.
We believe that the use of coherence analysis during neurological rehabilitation is a further tool that increases our ability to map neurophysiological changes during the natural execution of a task (Nielsen 2002
). However, like many correlational tools, coherence can only "look back" one synapse into a network or system. Thus the level of "common drive" estimated using coherence is likely an underestimate because if there is more than one synapse in the pathway, the temporal variability introduced by the synaptic transmission will mean that the activity at the recording site may not be completely coherent, despite having a common origin. However, it remains a powerful tool to estimate common drive for neural events such as muscle activity or cortical potentials for strong, direct pathways such as the corticomotoneuronal pathway (Petersen et al. 2003
). Coherence analysis, while comparatively complex to perform, requires only simple measures from the patient, such as EMG during walking, and may be a more clinically acceptable technique than reflex testing, sensory evoked potential or TMS mapping. Because only the stronger subjects and those who had more coherence in the 2440 Hz band showed a functional improvement, coherence analysis may be able to predict those individuals who will benefit from an intensive locomotor retraining program, especially for patients in the ASIA C category where some respond to locomotor training, whereas some do not. In summary, the finding that increases in corticospinal drive are associated with improvements walking function after spinal cord injury provides the impetus to examine if enhancing cortical excitability via electrical and/or sensory stimulation is a useful technique to enhance spared corticospinal tract function and walking recovery when combined with motor rehabilitation (Hummel et al. 2005
).
| GRANTS |
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| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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Address for reprint requests and other correspondence: M. Gorassini, 513 HMRC, Centre for Neuroscience, University of Alberta, Edmonton, Alberta T6G 252, Canada (E-mail: monica.gorassini{at}ualberta.ca)
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J. F. Yang and M. Gorassini Spinal and Brain Control of Human Walking: Implications for Retraining of Walking Neuroscientist, October 1, 2006; 12(5): 379 - 389. [Abstract] [PDF] |
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A. L Behrman, M. G Bowden, and P. M Nair Neuroplasticity After Spinal Cord Injury and Training: An Emerging Paradigm Shift in Rehabilitation and Walking Recovery Physical Therapy, October 1, 2006; 86(10): 1406 - 1425. [Abstract] [Full Text] [PDF] |
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