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1Department of Physiology, Universite de Montreal, Montreal, Quebec; 2Department of Physiology, University of Manitoba, Winnipeg, Manitoba; and 3Centre for Neuroscience, University of Alberta, Edmonton Alberta, Canada
Submitted 21 September 2004; accepted in final form 6 March 2005
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ABSTRACT |
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INTRODUCTION |
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Attempts have been made to deduce the functional organization of the CPG on the basis of the mutability of the patterns of muscle activation during different locomotor behaviors, e.g., comparing forward, backward, uphill, and downhill walking (Grillner 1981
; Stein and Smith 1997
). The results of these investigations have been used to suggest that the CPG does not consist of a simple flexion-extension oscillator controlling the whole limb. Instead, a mechanism involving several oscillators was suggested (Grillner and Wallen 1985
) in which each joint is controlled by its own "unit" oscillator that is flexibly coupled to the other unit oscillators of the limb. However, there is no compelling evidence of localized regions of activation corresponding to separate oscillators controlling hip, knee, and ankle (Prochazka et al. 2002b
). Furthermore, in fictive locomotion, preliminary evidence suggests there is a tight coupling between bursts of activity of extensor nerves of the entire limb and a similar coupling of flexor bursts, hip flexors being slightly phase-advanced on ankle flexors (Quevedo et al. 2000b
). Thus as a first approximation we consider the spinal CPG to be a bipartite organization that produces alternating and out-of-phase activation of flexor and extensor muscles throughout the hindlimb. Additional circuitries also exist that shape the activity of individual motoneuron pools, including those innervating bifunctional muscles, during various locomotor tasks (Burke 2001
).
It is well known that locomotor cycle periods, phase transitions, and phase durations can be affected by descending inputs (Armstrong 1988
; Drew 1991
) as well as sensory input to the spinal cord (McCrea 2001
; Pearson and Rossignol 1991
; Rossignol 1996
). Afferent feedback from muscle proprioceptors and low threshold cutaneous receptors is used continuously to shape and regulate motoneuron activity during stepping (Bouyer and Rossignol 1998
; Prochazka et al. 2002a
). Results from fictive locomotor preparations show that depending on which afferents are stimulated, segmental proprioceptive feedback can be directed either to flexor or extensor components of the CPG (McCrea 2001
). These observations suggest a flexible organization of the locomotor CPG that can be accessed and manipulated by sensory feedback (as well as descending systems) to control the activity and timing of both flexor and extensor phase motoneuron activity. Numerous conceptual and mathematical models of locomotor pattern generators and their sensory control have been presented, e.g., Marder and Bucher 2001
; Pearson 2004
; Yakovenko et al. 2004
.
The timing of transitions between locomotor phases is crucial for matching the CPG output to actual limb forces and motions. During normal overground gait in intact animals and humans, an increase in the speed of locomotion is usually accompanied by a decrease in the step cycle duration, mostly due to the shortening of the stance phase. The duration of the swing phase changes much less (Arshavsky et al. 1965
; Goslow et al. 1973
; Halbertsma 1983
; Murray 1967
). The same has been reported in spinalized cats during treadmill locomotion (Forssberg and Grillner 1973
; Prochazka et al. 2002b
) and in fictive locomotion (Dubuc et al. 1988
; Leblond and Gossard 1997
; Pearson and Rossignol 1991
). These results suggest that the CPG is hard-wired to produce adjustments of step cycle duration by mainly modulating the durations of extensor bursts rather than flexor bursts (Grillner and Dubuc 1988
). This is in contrast to the flexibility of control of both the flexion and extension phases by afferent feedback.
In the present study, we sought to clarify whether the locomotor CPG is extensor biased with a preferential control of extensor phase duration. To this end, we used the fictive locomotion preparation in adult decerebrate cats. The advantage of this reduced preparation is that without rhythmic afferent input and without cortical control, the locomotor pattern should reflect more of the operation of the basic spinal CPG than it would in more intact preparations. In this study, we report that in MLR-induced fictive locomotion in the cat, the locomotor cadence varied more as a result of changes in flexor rather than extensor phase durations in many preparations. In a simple half-center model of the locomotor CPG, coupled changes in background excitation and sensitivity of the timing elements reproduced the observed range of phase-duration properties. The results are consistent with the idea that the balance of drive to the flexor and extensor half-centers of the locomotor oscillator results either in flexor- or extensor-dominated control.
Portions of this work have appeared in Abstract form (Yakovenko et al. 2001
).
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METHODS |
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All data reported in this paper originated from experiments done for other reasons in David McCrea's laboratory, University of Manitoba (Gosgnach et al. 2000
; Quevedo et al. 2000a
). All surgical and experimental protocols were in accordance with the guidelines set out by the Canadian Council for Animal Care. The experiments were performed on 23 cats (weight: 2.23.2 kg). The animals were anesthetized with halothane delivered in a mixture of 30% oxygen and 70% nitrous oxide for the duration of the surgery. Surgical procedures consisted of a tracheotomy, cannulation of arteries and veins, dissections of various hindlimb nerves and a craniotomy. The position of both the ipsilateral and contralateral limbs was essentially the same in all preparations used in the present study. Furthermore, both limbs were extensively denervated by bilateral sectioning of the sciatic, femoral, and obturator nerves, and tendons surrounding the hips were cut. Mechanical, precollicular-postmamillary decerebration was performed by removing all the tissue rostral to the transection. This procedure makes animals insentient (legally dead) and allows discontinuation of anesthetic. The neuromuscular blocker gallamine triethiodide (Flaxedil, 23 mg · kg1 · h1) was used to abolish movement and the animals were artificially ventilated. Fictive locomotion was elicited by unilateral or bilateral monopolar electrical stimulation of the MLR (30200 µA, 0.5- to 1-ms pulses, 730 Hz) with tungsten microelectrodes. Selected hindlimb nerves were placed on conventional bipolar hook electrodes for recording. The following nerves were included: the flexors sartorius (Sart), tibialis anterior (TA), extensor digitorum longus (EDL), peroneus longus (PerL), rectus femoris (RF), biceps femoris posterior (BFp), or sometimes BFp and semitendinosus together (PBST) and the extensors semimembranosus and biceps femoris anterior (SMAB), flexor hallucis longus (FHL), flexor digitorum longus (FDL), or sometimes FDL and FHL together (FDHL), gastrocnemius and soleus (GSol), plantaris (Plan), and quadriceps (Quad).
Up to 12 nerves were recorded simultaneously in each cat. A laminectomy was performed usually from the L4 to the S1 regions in some animals, but in others, it was more extensive, including thoracic and cervical segments. A lethal injection of pentobarbital anesthetic was administered at the end of the experiment.
Data recording and analysis
Automated analysis was applied to 31 episodes of MLR-evoked fictive locomotion from 23 different animals in which spontaneous changes in the cycle timing occurred. Episodes in the same experiment were treated independently because they were recorded hours apart, often with modified parameters of MLR stimulation. We analyzed as many segments of ENG recording as were present in the data from a given episode. This amounted to an average of 117 individual cycles per episode. All individual cycles from a given run were then analyzed to produce phase-duration scatter plots of the type shown in Fig. 2.
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= 0.05). ADAPTIVE THRESHOLD CROSSING METHOD. A novel means of determining the onsets and terminations of ENG bursts was developed for this study. To understand the method, consider a portion of a noisy signal containing bursts of activity (Fig. 1A). Now consider a horizontal line representing a test level, moving upward through the signal (dashed lines Fig. 1A). Within the noise band, there are many intersections of the signal and the test level. The number of intersections reaches a peak somewhere within the noise band, as plotted in Fig. 1B. As the test level moves above the noise band and into the region of burst activity (dashed line b in Fig. 1, A and B), the number of intersections drops and then remains constant. As the test level moves up into the region of peaks (line c) the number of intersections again rises and then declines to zero (line d).
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20% of maximal signal amplitude (the 1st 8th of the plot in Fig. 1B). Next, the differential of this plot is computed (dotted line in Fig. 1B). A biphasic profile in this differential plot is now sought. If it is absent, the noise is assumed to be >20% of maximal signal amplitude and the recording is discarded. If it is present, the signal amplitude at which the differential returns to zero after the biphasic variation is determined. This is then used as a preliminary threshold to detect the times of burst onsets and terminations, which correspond to nerve activity immediately above the "noisy" background and depend on its peaks. Onsets are distinguished from terminations according to the sign of slope of the signal as it crosses threshold. Finally, more accurate burst timing is further calculated by adjusting each previously estimated onset and termination to the nearest time the signal crosses the final threshold formed by the summed mean and SD of "noise." This last manipulation reduces the error of underestimating the duration of activity common to standard threshold methods and dependent on the slopes of activation and inactivation of each burst. The detection quality of the method was similar to that of manual selection with the obvious advantages of automation and objectivity. The analysis of ENG activity may lead to underestimates of the duration of excitatory drive to the corresponding motoneuron pool. Significant errors in the estimation of the relationship between phase and cycle duration may thereby emerge if the duration of the nerve activity does not span all or most of the corresponding phase. However, in a separate analysis we confirmed that the mean ENG profiles of the nerves analyzed in this preparation did in fact span all or most of the corresponding flexor or extensor phase. We estimate that this limitation of the method only contributed small offsets to the lines of best fit reported in Figs. 24.
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RESULTS |
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In a given cat, we found that either the extensor bursts or the flexor bursts occupied >50% of the step cycle period in nearly all cycles (i.e., a given cat showed extensor- or flexor-dominated behavior). Furthermore, for a given change in cycle duration the amount of variation in burst duration depended on which of the two behaviors applied to that particular cat. We therefore decided to divide the data into two groups, corresponding to extensor- and flexor-dominated behavior.
Figure 2A shows a recording of nerve activity during fictive locomotion evoked by the stimulation of MLR. Note that the bursts recorded in the flexor nerve (Sart) occupied >50% of the cycle durations, whereas those of the extensor nerve (SMAB) occupied <50% of the cycles. Using automatic threshold detection as described in METHODS, the flexor and extensor phase durations were computed and plotted against cycle duration in Fig. 2B. The - - - reference line has a slope of 0.5 and passes through the origin. Data points on this line correspond to cycles in which phase duration is 50% of cycle duration. Data points above and below the - - - correspond to cycles in which phase duration is greater or <50% of cycle duration, respectively.
In Fig. 2B, flexor phase durations are mostly above the line and extensor phase durations are mostly below. When the average of phase durations of all flexor nerves in an episode is >50% of cycle duration, we will refer to such patterns as flexor-dominated. Figure 2C shows recordings from another fictive locomotor cat. This time extensor bursts (GSol nerve) were longer than flexor bursts as in intact cats. Figure 2D confirms that in this case extensor phase durations are mostly above the line and flexor phase durations are mostly below. Because the average of phase durations of all extensor nerves in this episode is >50% of cycle duration, we call this an extensor-dominated pattern.
Figure 3 shows pooled data from 31 episodes in 23 fictive MLR cats, 22 episodes showing flexor-dominated patterns (Fig. 3A) and 9 showing extensor-dominated patterns (Fig. 3B). The nerve recordings were divided into two groups, those from the flexors Sart, TA, EDL, PerL, and RF and those from the extensors SMAB, FHL, GSol, Plan, Quad, and FDL/FDHL. This grouping is based on the biomechanical action of the corresponding muscles in flexor and crossed-extensor reflexes and the spatiotemporal activation of their motoneurons in the spinal cord during locomotion (Eccles and Lundberg 1958
; Prochazka et al. 2002b
; Sherrington 1910
).
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Many of the individual regression lines (gray) did not extrapolate to the origin, meaning that phase duration was not a constant proportion of cycle duration. Several had negative slopes (e.g., Sart in Fig. 3B) meaning that phase durations declined as cycle durations increased. These findings have important implications for the mechanism of central pattern generation, as discussed later.
Figure 4, A and B, shows the means of all the individual regression lines from Fig. 3, A and B, combined into flexor and extensor groups. The regression slopes in Fig. 4A (flexor-dominated pattern) were 0.75 (flexor) and 0.14 (extensor) and in Fig. 4B (extensor-dominated pattern), 0.27 (flexor) and 0.82 (extensor). The flexor and extensor slopes in Fig. 4B (extensor-dominated pattern) are similar to those previously reported for normal cats during overground gait (Halbertsma 1983
) (see Fig. 8C), whereas the slopes in Fig. 4A suggest a fundamental shift in the balance of rhythm generation in these experiments.
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DISCUSSION |
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80% of the cycle. For cycle durations of 0.350.45 s, the phase durations converge to 50% of the cycle and for still lower cycle durations the relative share reverse. In normal cats, flexor and extensor phase durations converge at gait velocities of 1.31.8 m/s (Goslow et al. 1973
What is it about MLR-induced fictive locomotion that often results in flexor-dominated patterns? Or to put it the other way, what is it about locomotion in the intact animal that results in extensor-dominated patterns? During normal locomotion, biomechanical events elicit varying sensory inputs that modulate the centrally generated rhythm, predominantly in the stance phase of the cycle. Consider the effect of a small increase in swing duration. This results in a more forward placement of the foot relative to the body. The initial ground reaction force is angled back further toward the hip, decelerating the body and causing kinetic energy to be lost. The time taken for the body to vault over the point of ground support increases, as does the period of extensor thrust needed to accelerate the body again and re-extend the hip. Given that the transition to the next swing phase is held off by sensorimotor mechanisms until the leg is far enough back and unloaded and the contralateral leg is on the ground (Prochazka 1996
), it is easy to see how the stance phase might be more deeply modulated by biomechanical factors and corresponding sensory feedback than the swing phase. This argument is further illustrated by the relative increase in modulation of flexor phase durations during air-stepping (Smith et al. 1986
). Sensory-mediated prolongation of the extensor phase could therefore explain why extensor-dominated patterns predominate in normal intact locomotion.
In MLR-induced fictive locomotion, spontaneous cycle period changes can occur with a constant level of midbrain stimulation. Presumably these variations result from fluctuating synaptic input from local neuronal networks, fluctuations in intrinsic neuronal properties, or alterations in the excitability of the MLR-reticulospinal pathway system. During such variations, phase durations co-vary in an orderly way, as shown by the linearity of the phase duration plots. We wondered whether these properties might provide clues regarding basic oscillator mechanisms.
To explore this, we designed an oscillator model with the use of Matlab Simulink software. Figure 7 shows the Simulink model, with parameters chosen to model the phase duration plots of Figs. 2B and 8A (flexor-dominated data). The circuit is typical of electronic oscillators and hypothesized biological oscillators (Cohen et al. 1982
; Marder and Bucher 2001
) in that it has two mutually inhibitory "half-centers" the duty cycles of which are determined by timing elements, in this case a pair of resettable integrators the outputs of which trigger bistable "flip-flops" to change state from low to high when they receive an input equal to 1.
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Note that these oscillators produce a constant amplitude output that represents the basic alternating flexion-extension pattern. The model could be made more realistic by adding elements that distribute oscillator output to motoneurons and adjust their activity levels (Rybak et al. 2004
).
Three sets of data were fitted: Fig. 8, A (flexor-dominated MLR fictive), B (extensor dominated MLR fictive), and C [data from normal cats (Halbertsma 1983
)]. We were surprised at how closely the modeled phase duration plots matched those of the raw data (in the case of the Halbertsma et al. data, right down to the slightly curved relationships which fitted the raw data better than the linear regressions used by the authors). This suggests that the basic CPG oscillator behaves like reciprocally coupled integrators. What other inferences can be drawn? First, it is clear that to fit the various slopes and offsets of the phase duration curves, separately adjustable timing elements for flexion and extension are required. This agrees with the conclusion of a previous study on fictive scratching and locomotion (Berkinblit et al. 1978
). Second, because changes in flexor and extensor phase duration nearly always occur in parallel, it seems likely that there is common or parallel input to the timing elements. Third, because phase durations co-vary by different amounts, either the common input is unequal, the sensitivity to the common input is unequal, or both. Fourth, additional nonvarying input ("offset") is required to match the mean phase durations in the data. Fifth, the goodness of fit of the modeled data from normal cats (Fig. 8C) indicates that the inclusion of rhythmic sensory input does not change the basic way in which phase durations within the step cycle period are accomplished. For example, the phase prolongation produced by extensor group I afferent input could be accomplished by adding an additional offset to integrator A in Fig. 8.
Suppose that "offset" in the model corresponds to background excitation of the neuronal networks of the CPG that make up the timing elements. This excitation would include synaptic input such as that elicited by MLR stimulation as well as other sources and could be preparation dependent. The neuronal analogy of the "gain" term in the simple oscillator is the range of variation of recruitment and spiking of timing-generating neuronal populations. Because both recruitment and firing increases are saturable phenomena, the half-center with the lower background excitation would have the higher gain. Thus variations in background drive would result in larger variations in phase duration in this half-center (i.e., this would be the dominant one). Variability in the balance of background excitation between preparations could help explain why some of our cats were flexor-dominant and others were extensor-dominant. Note that anything that changed the excitability of some of the members of an oscillator could change the phase dominance. This could include random or preparation-specific changes in either excitation or inhibition of any of the elements affected by a variety of factors such as head, trunk or leg posture (Pearson et al. 1992
), neurotransmitter balance (Jacobs and Fornal 1999
), the balance of descending drives (Noga et al. 2003
) and overall state.
In this regard, it is interesting to note that Pearson and Rossignol showed that limb position can influence the intensity and relative durations of the flexor and extensor bursts of activity in fictive locomotion in chronic spinal cats. Moving the legs from flexion to extension stretched flexor muscles and progressively increased the duration of flexor bursts and decreased the cycle period, though not to the extent of switching from extensor- to flexor-dominated patterns, at least in the data shown (Pearson and Rossignol 1991
).
Could the full range of phase duration plots presented above be obtained with a model that only had gain elements and dispensed with offsets? The answer is no. If gains were the only contributing parameters, the curves would all pass through the origin because each half-center's share of the cycle duration would be constant. Many of the regression lines we presented in this paper did not pass through the origin.
Several individual regression lines had negative slopes, meaning that phase durations declined as cycle durations increased. In the model, such lines can readily be matched simply by setting the gain of the relevant integrator to an appropriate negative value (the offset remaining positive). The neural correlate of this would be would be a declining excitation or an increasing inhibition of the drive to the relevant timing neurons.
One of the implications of the present findings is that while most preparations showed a particular bias for the flexion or extension phase during fictive locomotion, the structure of the locomotor CPG does not appear to be inherently extensor or flexor biased. In other words, the flexor or extensor sides of the locomotor oscillator can operate in similar fashion (compare Fig. 8, A and B). This in turn supports models of CPG structure in which either the flexor and extensor phases can dominate (see Rybak et al. 2004
).
To conclude, in this paper, we report a considerable flexibility in the control of phase durations in MLR-induced fictive locomotion, which can be explained by changes in background excitation and sensitivity of timing elements in a simple half-center model of the locomotor CPG.
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GRANTS |
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ACKNOWLEDGMENTS |
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FOOTNOTES |
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Address for reprint requests and other correspondence: A. Prochazka, Centre for Neuroscience, 507 HMRC, University of Alberta, Edmonton, Alberta T6G 2S2, Canada (E-mail: arthur.prochazka{at}ualberta.ca)
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A. W. Jackson, F. A. Pino, E. D. Wiebe, and A. D. McClellan Movements and Muscle Activity Initiated by Brain Locomotor Areas in Semi-Intact Preparations From Larval Lamprey J Neurophysiol, May 1, 2007; 97(5): 3229 - 3241. [Abstract] [Full Text] [PDF] |
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N. Dominici, Y. P. Ivanenko, and F. Lacquaniti Control of Foot Trajectory in Walking Toddlers: Adaptation to Load Changes J Neurophysiol, April 1, 2007; 97(4): 2790 - 2801. [Abstract] [Full Text] [PDF] |
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K. E. Musselman and J. F. Yang Loading the Limb During Rhythmic Leg Movements Lengthens the Duration of Both Flexion and Extension in Human Infants J Neurophysiol, February 1, 2007; 97(2): 1247 - 1257. [Abstract] [Full Text] [PDF] |
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J. P. Gabriel and A. Buschges Control of stepping velocity in a single insect leg during walking Phil Trans R Soc A, January 15, 2007; 365(1850): 251 - 271. [Abstract] [Full Text] [PDF] |
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I. A. Rybak, N. A. Shevtsova, M. Lafreniere-Roula, and D. A. McCrea Modelling spinal circuitry involved in locomotor pattern generation: insights from deletions during fictive locomotion J. Physiol., December 1, 2006; 577(2): 617 - 639. [Abstract] [Full Text] [PDF] |
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I. A. Rybak, K. Stecina, N. A. Shevtsova, and D. A. McCrea Modelling spinal circuitry involved in locomotor pattern generation: insights from the effects of afferent stimulation J. Physiol., December 1, 2006; 577(2): 641 - 658. [Abstract] [Full Text] [PDF] |
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Y. P. Ivanenko, R. E. Poppele, and F. Lacquaniti Spinal Cord Maps of Spatiotemporal Alpha-Motoneuron Activation in Humans Walking at Different Speeds J Neurophysiol, February 1, 2006; 95(2): 602 - 618. [Abstract] [Full Text] [PDF] |
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J. Duysens, D. McCrea, and M. Lafreniere-Roula How deletions in a model could help explain deletions in the laboratory J Neurophysiol, January 1, 2006; 95(1): 562 - 565. [Full Text] [PDF] |
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J. B. Nielsen, B. A. Conway, D. M. Halliday, M.-C. Perreault, and H. Hultborn Organization of common synaptic drive to motoneurones during fictive locomotion in the spinal cat J. Physiol., November 15, 2005; 569(1): 291 - 304. [Abstract] [Full Text] [PDF] |
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