Abstract
Effective locomotion training with robotic exoskeletons requires identification of optimal control algorithms to better facilitate motor learning. Two commonly employed training protocols emphasize use of training stimuli that either augment or reduce performance errors. The current study sought to identify which of these training strategies promotes better short-term modification of a typical gait pattern in healthy individuals as a framework for future application to neurologically impaired individuals. Ten subjects were assigned to each of a performance-based error-augmentation or error-reduction training group. All subjects completed a 45-min session of treadmill walking at their preferred speed with a robotic exoskeleton. Target templates prescribed an ankle path for training that corresponded to an increased step height. When subjects’ instantaneous ankle positions fell below the inferior virtual wall of the target ankle path, robotic forces were applied that either decreased (error-reduction) or increased (error-augmentation) the deviation from the target path. When the force field was turned on, both groups walked with ankle paths better approximating the target template compared to baseline. When the force field was removed unexpectedly during catch and post-training trials, only the error-augmentation group maintained an ankle path close to the target ankle path. Further investigation is required to determine if a similar training advantage is provided for neurologically impaired individuals.
Keywords: gait, robotic exoskeleton, force field, rehabilitation, locomotion
Introduction
Robotic lower limb exoskeletons have the potential to assist gait rehabilitation for individuals with neurological dysfunction. Robotic devices allow for more intensive and repetitive training than conventional physical therapies and as such, may enhance motor plasticity [1-3]. Although some positive outcomes have been demonstrated [4-5], the effectiveness of robotic-assisted gait training is still controversial [6-8].
It is still unclear how different force control strategies implemented on robotic devices affect the process of motor learning or promote neural recovery [9-10]. The principle of assist-as-needed derived from the clinical convention has been implemented in the control algorithms of some current robotic devices [11-13]. The assistance is used to reduce subject’s performance error relative to the prescribed behavior. We refer to this paradigm here as error-reduction. The major advantage of error-reduction strategy is that correct movement patterns can be guided, but without forcing the movements through one fixed path [14]. However, this strategy tends to minimize movement errors [12], and subjects’ knowledge of performance error is important for motor learning [15-17]. It also has been demonstrated that the human motor system attempts to decrease levels of muscle recruitment (i.e., slacking) when movement errors are reduced during performance of a dynamic task [18-20]. Thus, an error-reduction strategy may substantially reduce patients’ effort.
There have been a few examples of applying robotic resistance in training functional tasks [9, 21-24]. To date, the majority of these studies have applied a fixed, velocity-dependent force-field that amplifies movement error independent of subjects’ on-line performance. The after-effect seen upon removal of the force field has been proposed as necessary to train correct movement patterns following neurological dysfunction [23-24]. However, after-effects have been shown to be short lasting after removing a force field [17, 25-26]. Thus, in addition to the possible strengthening effect from training with the robotic resistance, benefits occurring from after-effects need to be further determined.
An alternative control strategy is to apply a performance-based resistance that amplifies error based on subjects’ on-line performance. Performance-based resistance has the potential to provide additional kinetic and proprioceptive biofeedback (e.g., increased mechanical work) to subjects when their gait patterns deviate from a desired pattern. One example of robotic performance-based resistance was developed by Simon et al. [21]. During a leg extension task, a resistive load was applied against leg extension, with the amount of resistive load proportional to the difference of force generation between the two legs. With performance-based resistive force cues, healthy subjects altered their lower limb forces toward a target force level and were able to reproduce the target level when the force cues were removed. This finding indicates that a performance-based resistance may be effective to shape the motor outputs for a dynamic task, and may persist when the force cuing is not present.
The purpose of the current study was to investigate whether performance-based robotic training using an error-augmentation algorithm better facilitates short-term changes of a typical gait pattern in healthy individuals compared to robotic training employing an error-reduction algorithm. Healthy individuals were studied as a starting point, serving as a proof-of-concept for future work with neurologically impaired individuals. We hypothesized that error-augmentation gait training would lead to walking post-training with ankle paths closer to a prescribed path that was altered from normal within a single training session compared to the performance of subjects receiving error-reduction gait training.
Methods
Subjects
Twenty healthy subjects gave written informed consent, approved by the university’s Institutional Review Board, to participate in this study. Volunteers were stratified by gender and randomly assigned to either the error-reduction (5 females, 5 males; age: 21.8 ± 2.8 years; height: 172.2 ± 7.3 cm; mass: 62.1 ± 7.2 kg) or error-augmentation (5 females, 5 males; age: 20.8 ± 0.9 years; height: 170.4 ± 7.3 cm; mass: 67.3 ± 12.7 kg) group.
Device description
Force fields were applied to subjects’ right leg using a robotic leg exoskeleton (Figure 1). Details of the exoskeleton’s design are documented elsewhere [11, 27-28]. The force-field controller was developed to apply tangential and normal forces at subjects’ ankle [11, 27]. Linear actuators mounted at the hip and knee joints of the exoskeleton provided a pattern of torques simulating the desired forces applied to the ankle.
Target walking templates based on the spatial paths of individual subject’s ankle locations (i.e., ankle path) were created for training (Figure 2). Target templates required subjects to step 57% or at least 3.4-cm higher than their baseline step height. This new walking template was chosen, based on pilot experiments, to provide sufficient challenge to the subjects while at the same time minimizing fatigue. Many individuals with neurological impairments have insufficient hip and knee flexion during swing, and one goal of walking training is to increase their step height to minimize the likelihood of tripping. Thus, we chose to use a template that required a greater as compared to a shallower step height than normal in this proof-of-concept study so that the required change in walking pattern had similarities to what would be expected in neurologically impaired individuals and, therefore, would be more relevant to future applications to that population.
The force-field controller was modified so that normal forces were provided only when subject’s ankle positions were below the inferior virtual wall of the prescribed path (i.e., unidirectional) during swing (Figure 2). When subjects’ instantaneous ankle positions fell below this wall, the error-reduction group received normal forces tending to bring their ankle positions towards the target position. For the error-augmentation group, subjects received normal forces tending to take their ankle positions further away from the target. The error here was defined as a deviation from the inferior virtual wall about the target template. The amount of robotic resistance or assistance varied depending on the amount of deviation from the prescribed paths (i.e., subjects received a spring-like force).
Experimental design and protocol
Subjects wore the exoskeleton while walking on the treadmill at their preferred speed (1.4 ± 0.1 mph). They were given 10 minutes of familiarization time, after which they walked in the exoskeleton without the force field for 10 minutes (Baseline). They then walked with the force field in nine, 5-minute training bouts (T1-T9). This was followed by two, 5-min post-training bouts (P1-P2) without the force field. Ten trials of over-ground walking were evaluated immediately following baseline and P1. Four 30-sec catch-trials were administered immediately after completing training bouts T1, T3, T5, and T7.
Subjects were informed that a target gait pattern was established and that the amount of robotic force they could receive would vary based on the amount of deviation from the target pattern. Their task was to discover the target pattern by minimizing those forces. Subjects were not informed explicitly about the target template, the type of robotic force (error-reduction or augmentation), or removal of the force field during catch and post-training trials.
Data acquisition and analysis
Right lower-limb joint kinematics and bilateral foot-switch data were collected while walking with the leg exoskeleton. For the over-ground walking, the kinematic data were collected with an 8-camera Qualisys (Gothenburg, Sweden) motion capture system (120-Hz). The deviation between subjects’ actual and prescribed ankle paths during treadmill walking were estimated by the area enclosed between the two paths during swing (Total Area) for every 30-second trial. A smaller total area indicates less deviation from the prescribed paths. We also identified and summed regions where the actual ankle paths were above (Area Above) or below (Area Below) the prescribed path. Because the sizes of the ankle paths varied among subjects, each subject’s data was normalized to the deviated area between their average baseline and the target ankle path. To evaluate changes in over-ground walking, we estimated (1) the area enclosed between the ankle paths obtained during the swing phase of the pre- and post-training sessions, and (2) changes of step height between pre- and post-training.
Statistics
Repeated measures analyses of variance (RM-ANOVAs) were used to test for differences between groups and across testing times for the deviated areas (Total Area, Area Below and Area Above), and for joint kinematics (peak hip flexion, knee flexion, dorsiflexion during swing and peak plantar flexion at pre-swing). The analyses were performed separately for three combinations of testing periods: baseline versus training (4 periods: B, T1, T5, T9), baseline versus catch trials (5 periods: B, CT1-4), and baseline versus post-training (3 periods: B, P1-2). For the over-ground walking data, another RM-ANOVA was used to test for differences in the deviated area of ankle paths and the changes of step height before and after training between legs (trained and untrained) and groups. Statistics were performed in SPSS™ (IBM Corp., Somers, NY) PAWS version 18. The significance level was set at p<0.05 and significant interactions investigated with post-hoc tests with Bonferroni corrections.
Results
Area between the actual and prescribed ankle paths
Training bouts
While the force field was turned on, both groups of subjects walked with ankle paths that were close to the prescribed templates, evidenced by the significantly smaller Total Area (p<0.001) compared to the baseline (Figure 3). The error-augmentation group gradually reduced the Area Below and increased the Area Above during training (Figure 3A). By the last training bout, the error-augmentation group showed a 33% reduction of Total Area (T9: 0.67 ± 0.20, mean ± SD, p=0.012). They also exhibited a reduced Area Below (T9: 0.15 ± 0.17, p<0.001) and increased Area Above (T9: 0.51 ± 0.28, p<0.001) compared to baseline performance. The error-reduction group (Figure 3B) also had a 37% reduction in Total Area (T9: 0.63 ± 0.15, p<0.001), a smaller Area Below (T9: 0.57 ± 0.14, p<0.001) and greater Area Above (T9: 0.06 ± 0.05, p=0.024) compared to baseline. The error-reduction group had a similar Total Area (p>0.05) but greater Area Below (p<0.001) and smaller Area Above (p<0.001) compared to the error-augmentation group.
Catch-trials
The error-augmentation group retained the new ankle paths when the robotic force was removed unexpectedly whereas the error-reduction group walked with ankle paths similar to their baselines (Figure 3). The error-augmentation group had significantly smaller Total Area (all p<0.01), smaller Area Below (all p<0.001) and greater Area Above (all p<0.05) for all catch-trials compared to the baseline (Figure 3A). In contrast, the error-reduction group showed no effect of testing period on Total Area (p=0.18) or Area Below (p=0.09) between baseline and the catch-trials (Figure 3B), despite a trend toward reduction. For Area Above, the error-reduction group had significantly greater area during the last two catch-trials (p<0.05) compared to the baseline, although the area was quite small. Compared to the error-augmentation group, the error-reduction group had significantly greater Total Area (p=0.0014), greater Area Below (p<0.001), and smaller Area Above (p<0.001).
Post-training bouts
The error-augmentation group consistently walked with ankle paths different from their baseline during post-training. Although the error-reduction group demonstrated a similar effect, it was much smaller (Figure 3). Compared to the baseline, Total Area was significantly smaller for both groups (p<0.001). Compared to the error-augmentation group, the error-reduction group had significantly greater Area Below and smaller Area Above (all p<0.01). Thus, although the error-reduction group showed an improvement by approximating the target template, this modification was much smaller than that exhibited by the error-augmentation group.
Joint kinematics
Changes in subjects’ ankle paths required corresponding modifications in the joint kinematics. During training, all subjects walked with increased hip and knee flexion during swing compared to baseline performance (Figure 4). By the last training bout, the error-augmentation group had significantly greater peak hip flexion by ~7 degrees (B: 17.2° ± 2.4°, T9: 24.3° ± 2.5°, p<0.001) and peak knee flexion by ~9 degrees (B: 48.2° ± 4.7°, T9: 57.5° ± 2.8°, p<0.001) during swing. For the error-reduction group, subjects had significantly greater peak hip flexion by ~4 degrees (B: 17.4° ± 4.9°, T9: 21.3° ± 4.3°, p<0.001) and peak knee flexion by ~3 degrees (B: 47.9° ± 10.3°, T9: 51.3° ± 10.3°, p<0.01).
The error-augmentation group walked with greater hip (~7°) and knee (~5°) flexion during the swing phase for most catch-trials compared to baseline performance (all p<0.01 except knee flexion for the first catch-trial) (Figure 5). For the error-reduction group, peak hip and knee flexion during the swing phase were similar to the baseline (all p>0.05).
During post-training trials, the error-augmentation group consistently walked with ~6° greater swing-phase hip flexion (p<0.001) than during baseline performance while the error-reduction group had increased swing-phase hip flexion by 2° only at P2 (p<0.05) (Figure 5). Overall, peak knee flexion during swing was significantly greater compared to the baseline (p<0.001), although there was no significant effect of group (p>0.56) nor an interaction of group with test period (p>0.14).
Although ankle motion was not directly targeted by the training, changes in its motion were investigated as well. There were no significant effects of group, test period or their interaction (all p>0.05) for the peak plantar flexion at pre-swing or peak dorsiflexion during swing.
Over-ground walking trials
Both groups had similar ankle paths and stepping height during over-ground walking before and after the training. The deviated area enclosed between baseline and post-training ankle paths were not significantly different between legs (p>0.5) or from zero (p>0.05) for either group, and there was no group difference (p>0.5). Changes in step height from pre- to post-training did not differ from zero (p>0.05), nor did they differ between legs (p>0.5) or groups (p>0.8).
Discussion
The findings of this study support our hypothesis that error-augmentation force-field training would lead to a greater short-term modification of subjects’ step height than training with an error-reduction force field. During training, subjects in both groups walked with ankle paths close to the target paths. However, only those receiving error-augmentation training showed substantial changes when removing the force field. In addition, changes in the ankle path induced by this single-session training were not transferred to the over-ground walking in this group of neurologically intact subjects.
The current findings for error-reduction training differ from those of a previous study by Kim et al. [28]. That study showed a persistent modification of subjects’ ankle paths after error-reduction training when the force-field training included visual feedback. In the current study, visual feedback was not provided because our primary interest was to investigate differences in the type of force feedback. Moreover, subject’s attempts to reduce their ankle path deviation from the template based on visual error might minimize the amount of force feedback. Kim et al. (2010) demonstrated that subjects receiving combined visual and force-field feedback exhibited a more persistent change in their ankle paths than subjects receiving either type of feedback alone. Whether adding visual feedback in the current study would reduce or enhance the differences between the groups’ performance is a question requiring further investigation. Another important difference between Kim et al. (2010) and this study is that those subjects were asked to produce a shallower ankle path than normal. This may have been easier to learn than increasing the step height, which requires more physical effort (i.e., to lift the leg further against gravity).
Movement economy may explain the differences in the areas above and below the target template exhibited in the two training groups. It has been demonstrated that humans preferably choose movement patterns that require minimum physical energy while performing a dynamic task [29-30]. In this study, the error-reduction group walked with ankle paths that fell below the target throughout most of the training while the error-augmentation group walked with ankle paths predominantly above the template during and following training. From the aspect of gait energetics, leg swing consumes ~30% of net energy required for walking [29]. Thus, it is costly to lift the leg higher than required. By stepping lower than the target template, the error-reduction group might have benefited energetically from the spring-like assisting forces that tended to bring their ankle positions toward the target. In contrast, when the error augmentation group deviated further below the target template, they received forces that tended to push them even further away, which might have been even more costly energetically to overcome than if stepping higher than the template, where no external force was experienced. Therefore, stepping a little higher than the target might have been a more economic strategy for the error-augmentation group.
The use of performance-based resistive forces applied by a robot has potential application to gait retraining for neurologically impaired individuals. The current study comparing two training strategies with healthy individuals served as proof-of-concept for future work with neurologically impaired individuals. Although achieving optimal movement economy may not be the priority for an impaired nervous system while performing tasks, the performance-based resistive forces can provide strong proprioceptive and kinetic cues that might work better than a visual or verbal cuing. In addition, given the results of the current study, error-augmentation training might be a better training stimulus than error reduction for persons with neurological disorders [24]. However, this issue requires further investigation because the nature of the response to either training strategy may depend on the severity of a person’s motor impairments. For example, error-augmentation training requires some degree of independent stepping. Based on initial studies in our laboratory, at least some stroke survivors with severe motor impairments cannot tolerate the resistive forces provides by error-augmentation training. Error reduction training may be the only option for such individuals. This suggestion is consistent with recent experiments revealing differences in response to similar training paradigms in both healthy subjects and neurologically impaired individuals, depending on their initial skill or impairment level [30-31].
A major limitation of this study is that the force field we tested was unidirectional, applying the force only when subjects’ actual ankle positions fell below the prescribed templates. Although the majority of neurologically impaired individuals have demonstrated a much shallower step height than healthy controls, some stroke survivors exhibit an exaggerated step height by compensations such as increased hip flexion and pelvic hiking to compensate for limited knee flexion. Indeed, we are implementing a bi-directional error-augmentation force field to train walking post-stroke. Other limitations of the robotic training approach are the added inertia provided by the robot that trainees must overcome as well as some limitations on leg and pelvic motion by the exoskeleton. These factors could also limit training with robotic forces, such as increasing fatigue. However, fatigue is unlikely a factor affecting the results in the current experiment because only the error-augmentation group received resistive forces and this group had the strongest training effect. Finally, the current setup did not allow obtaining information about kinematics of the non-trained leg, which might have provided useful additional information for interpreting the results of the two training strategies.
Conclusion
Neurologically intact subjects were able to walk with stepping patterns closer to a prescribed template that required a higher than normal step height. Matching the target template was substantially better in persons receiving error-augmenting forces compared to error-reducing forces. Future studies will examine performance-based robotic force fields in neurologically impaired populations.
Acknowledgement
The authors thank Paul Stegall and Kyle Winfree for assistance with technical issues related to the hardware of the leg exoskeleton. The authors also thank Joshua Kuhl for assistance in some data collection. This work was supported by grant R01HD038582 from the National Institutes of Health.
Footnotes
Publisher's Disclaimer: This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
Conflict of Interest Statement There are no conflicts of interest in this work.
Portions of this study were published in abstract form as a Proceeding of the 35th Annual Meeting of the American Society of Biomechanics (Long Beach, California, 2011).
Reference
- [1].Hidler J, Hamm LF, Lichy A, Groah SL. Automating activity-based interventions: the role of robotics. J Rehabil Res Dev. 2008;45:337–44. doi: 10.1682/jrrd.2007.01.0020. [DOI] [PubMed] [Google Scholar]
- [2].Hesse S, Schmidt H, Werner C, Bardeleben A. Upper and lower extremity robotic devices for rehabilitation and for studying motor control. Current Opinion in Neurology. 2003;16:705–10. doi: 10.1097/01.wco.0000102630.16692.38. [DOI] [PubMed] [Google Scholar]
- [3].Reinkensmeyer DJ, Emken JL, Cramer SC. Robotics, motor learning, and neurologic recovery. Annual Review of Biomedical Engineering. 2004;6:497–525. doi: 10.1146/annurev.bioeng.6.040803.140223. [DOI] [PubMed] [Google Scholar]
- [4].Smania N, Bonetti P, Gandolfi M, Cosentino A, Waldner A, Hesse S, Werner C, Bisoffi G, Geroin C, Munari D. Improved gait after repetitive locomotor training in children with cerebral palsy. Am J Phys Med Rehabil. 2011;90:137–49. doi: 10.1097/PHM.0b013e318201741e. [DOI] [PubMed] [Google Scholar]
- [5].Westlake KP, Patten C. Pilot study of Lokomat versus manual-assisted treadmill training for locomotor recovery post-stroke. J Neuroeng Rehabil. 2009;6:18. doi: 10.1186/1743-0003-6-18. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [6].Hidler J, Nichols D, Pelliccio M, Brady K, Campbell DD, Kahn JH, Hornby TG. Multicenter randomized clinical trial evaluating the effectiveness of the Lokomat in subacute stroke. Neurorehabil Neural Repair. 2009;23:5–13. doi: 10.1177/1545968308326632. [DOI] [PubMed] [Google Scholar]
- [7].Hornby TG, Campbell DD, Kahn JH, Demott T, Moore JL, Roth HR. Enhanced gait-related improvements after therapist- versus robotic-assisted locomotor training in subjects with chronic stroke: a randomized controlled study. Stroke. 2008;39:1786–92. doi: 10.1161/STROKEAHA.107.504779. [DOI] [PubMed] [Google Scholar]
- [8].Nooijen CF, Ter Hoeve N, Field-Fote EC. Gait quality is improved by locomotor training in individuals with SCI regardless of training approach. J Neuroeng Rehabil. 2009;6:36. doi: 10.1186/1743-0003-6-36. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [9].Marchal-Crespo L, Reinkensmeyer DJ. Review of control strategies for robotic movement training after neurologic injury. J Neuroeng Rehabil. 2009;6:20. doi: 10.1186/1743-0003-6-20. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [10].Huang VS, Krakauer JW. Robotic neurorehabilitation: a computational motor learning perspective. Journal of Neuroengineering and Rehabilitation. 2009;6 doi: 10.1186/1743-0003-6-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [11].Banala SK, Kim SH, Agrawal SK, Scholz JP. Robot Assisted Gait Training With Active Leg Exoskeleton (ALEX). 10th IEEE International Conference on Rehabilitation Robotics; Noordwijk, NETHERLANDS. 2007. pp. 2–8. [DOI] [PubMed] [Google Scholar]
- [12].Emken JL, Benitez R, Reinkensmeyer DJ. Human-robot cooperative movement training: Learning a novel sensory motor transformation during walking with robotic assistance-as-needed. Journal of Neuroengineering and Rehabilitation. 2007;4 doi: 10.1186/1743-0003-4-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [13].Duschau-Wicke A, von Zitzewitz J, Caprez A, Lunenburger L, Riener R. Path control: a method for patient-cooperative robot-aided gait rehabilitation. IEEE Trans Neural Syst Rehabil Eng. 2010;18:38–48. doi: 10.1109/TNSRE.2009.2033061. [DOI] [PubMed] [Google Scholar]
- [14]. !!! INVALID CITATION !!!
- [15].Krakauer JW. Motor learning and consolidation: the case of visuomotor rotation. Adv Exp Med Biol. 2009;629:405–21. doi: 10.1007/978-0-387-77064-2_21. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [16].Ziegler MD, Zhong H, Roy RR, Edgerton VR. Why variability facilitates spinal learning. Journal of Neuroscience. 2010;30:10720–6. doi: 10.1523/JNEUROSCI.1938-10.2010. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [17].Emken JL, Reinkensmeyer DJ. Robot-enhanced motor learning: accelerating internal model formation during locomotion by transient dynamic amplification. IEEE Trans Neural Syst Rehabil Eng. 2005;13:33–9. doi: 10.1109/TNSRE.2004.843173. [DOI] [PubMed] [Google Scholar]
- [18].Emken JL, Benitez R, Sideris A, Bobrow JE, Reinkensmeyer DJ. Motor adaptation as a greedy optimization of error and effort. J Neurophysiol. 2007;97:3997–4006. doi: 10.1152/jn.01095.2006. [DOI] [PubMed] [Google Scholar]
- [19].Reinkensmeyer DJ, Akoner O, Ferris DP, Gordon KE. Slacking by the human motor system: computational models and implications for robotic orthoses. Conf Proc IEEE Eng Med Biol Soc. 2009;2009:2129–32. doi: 10.1109/IEMBS.2009.5333978. [DOI] [PubMed] [Google Scholar]
- [20].Kao PC, Lewis CL, Ferris DP. Invariant ankle moment patterns when walking with and without a robotic ankle exoskeleton. Journal Of Biomechanics. 2010;43:203–9. doi: 10.1016/j.jbiomech.2009.09.030. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [21].Simon AM, Gillespie R Brent, Ferris DP. Symmetry-based resistance as a novel means of lower limb rehabilitation. J Biomech. 2007;40:1286–92. doi: 10.1016/j.jbiomech.2006.05.021. [DOI] [PubMed] [Google Scholar]
- [22].Lam T, Wirz M, Lunenburger L, Dietz V. Swing phase resistance enhances flexor muscle activity during treadmill locomotion in incomplete spinal cord injury. Neurorehabil Neural Repair. 2008;22:438–46. doi: 10.1177/1545968308315595. [DOI] [PubMed] [Google Scholar]
- [23].Lam T, Pauhl K, Krassioukov A, Eng JJ. Using robot-applied resistance to augment body-weight-supported treadmill training in an individual with incomplete spinal cord injury. Phys Ther. 2011;91:143–51. doi: 10.2522/ptj.20100026. [DOI] [PubMed] [Google Scholar]
- [24].Patton JL, Stoykov ME, Kovic M, Mussa-Ivaldi FA. Evaluation of robotic training forces that either enhance or reduce error in chronic hemiparetic stroke survivors. Exp Brain Res. 2006;168:368–83. doi: 10.1007/s00221-005-0097-8. [DOI] [PubMed] [Google Scholar]
- [25].Lam T, Anderschitz M, Dietz V. Contribution of feedback and feedforward strategies to locomotor adaptations. J Neurophysiol. 2006;95:766–73. doi: 10.1152/jn.00473.2005. [DOI] [PubMed] [Google Scholar]
- [26].Barthelemy D, Alain S, Grey MJ, Nielsen JB, Bouyer LJ. Rapid changes in corticospinal excitability during force field adaptation of human walking. Exp Brain Res. 2012;217:99–115. doi: 10.1007/s00221-011-2977-4. [DOI] [PubMed] [Google Scholar]
- [27].Banala SK, Kim SH, Agrawal SK, Scholz JP. Robot assisted gait training with active leg exoskeleton (ALEX) IEEE Trans Neural Syst Rehabil Eng. 2009;17:2–8. doi: 10.1109/TNSRE.2008.2008280. [DOI] [PubMed] [Google Scholar]
- [28].Kim SH, Banala SK, Brackbill EA, Agrawal SK, Krishnamoorthy V, Scholz JP. Robot-assisted modifications of gait in healthy individuals. Exp Brain Res. 2010;202:809–24. doi: 10.1007/s00221-010-2187-5. [DOI] [PubMed] [Google Scholar]
- [29].Doke J, Donelan JM, Kuo AD. Mechanics and energetics of swinging the human leg. Journal of Experimental Biology. 2005;208:439–45. doi: 10.1242/jeb.01408. [DOI] [PubMed] [Google Scholar]
- [30].Milot MH, Marchal-Crespo L, Green CS, Cramer SC, Reinkensmeyer DJ. Comparison of error-amplification and haptic-guidance training techniques for learning of a timing-based motor task by healthy individuals. Exp Brain Res. 2010;201:119–31. doi: 10.1007/s00221-009-2014-z. [DOI] [PubMed] [Google Scholar]
- [31].Wu M, Landry JM, Schmit BD, Hornby TG, Yen SC. Robotic resistance treadmill training improves locomotor function in human spinal cord injury: a pilot study. Arch Phys Med Rehabil. 2012;93:782–9. doi: 10.1016/j.apmr.2011.12.018. [DOI] [PubMed] [Google Scholar]