LEGENDS FOR SUPPLEMENTARY MATERIAL Supplementary Figure 1: Altered kinematics of the hindlimb post-Hx. Mean (±SEM) durations of the stance phase and range of joint movements of the right (lesioned) hindlimb indicate that 21 days post-Hx all rats show a longer stance phase, a decrease in knee and toe joint excursions, and a concurrent increase in the ankle joint excursions (attributable to the drag of the ipsilesional limb). Data are from 10 steps for all rats before (pre-Hx) and 21 days post-Hx. Supplementary Figure 2: Improved consistency of foot placement after quadrupedal step-training. The consistency of toe (A) and ankle (B) angles during paw placement as determined by the first principal component (PCA) is not different before and 21d post-Hx in the QT group. In contrast, the BT and NT groups show lower consistency of toe placement post-Hx compared to pre-Hx. The vertical alignment of the trunk during stepping determined by the distance of the knee (C) and of the iliac crest of the pelvic bone (D) from the treadmill in the QT and BT groups was not different from Pre-Hx and greater than in the NT group. Values are mean (±SEM) for 10 steps. Horizontal lines above the bars indicate significant differences among groups (P< 0.05). Supplementary Figure 3: Quadrupedal step-training is effective in improving interhindlimb coordination. (A) Mean (±SEM) lag times between the onset of the right and left limb contact on the stepping surface within a step during quadrupedal stepping at each time point are shown. (B) The onset of the left and right TA EMG bursts normalized to the step cycle duration are presented as coordinates in a phase difference diagram using basic trigonometric functions. The position of each data point in a quadrant of the circle reflects the phase difference between the onset of the left vs. right TA activity and the distance of each data point from the center of the circle represents the average percentage of the step cycle duration (represented on a scale of -1 to +1). Quantification of the phase differences between the right and left TA activity was done using cluster analysis for group means before and 21 days post-Hx. Note the nucleated cluster of data points in pre-Hx vs. a scattered cluster postHx. (C) The phase difference in the timing of limb placement determined electrophysiologically via cluster analysis of the phase difference between the onset of TA EMG in the two hindlimbs for 10 consecutive steps. K-means of the clusters (centroid) that represent the ‘average’ of the cluster distribution of all points in (B) before (open circles) and 21 days after Hx for each group (filled circles) are shown. (D) Data at 21 days post-Hx iterated by random-sampling (boot strapping method) to yield the centroid distance over 10,000 iterations. Horizontal lines above the bars (A) and below the points (C) indicate significant differences among groups (P< 0.05). Supplementary Figure 4: Quadrupedal step-training improves intra-limb coordination and limb symmetry as determined by knee-ankle angle trajectories. (A) Intralimb coordination determined kinematically via angle-angle plots illustrates the mean right (dark trace) and left (light trace) hindlimb knee-ankle angle trajectories. The orange triangle is an algebraic representation of the trajectory shapes. Segment AB of the trajectory that forms an angle with the x-axis indicates the shape of the trajectory. Maximum anti-clockwise rotation of the right hindlimb shape trajectory (and a consequent increase in angles formed with the xaxis) reflects a change in angular phase relationships between joints within the hindlimb and hence altered intralimb coordination during stepping. (B) Asymmetry between the two hindlimbs is indicated by greater horizontal distances between the centers of the trajectories for the right and left hindlimbs (centroid of triangle, maroon circles in (A)). Values are means (±SEM) for 10 steps and the horizontal lines above the bars indicate significant differences among groups (P< 0.05). Supplementary Figure 5: Tracer dye injection area is similar between groups. Histograms represent the mean (±SEM) areas of spread of the rhodamine tracer dye injection into the right L2 spinal segment for all rats in each group. Supplementary Video: Quadrupedal stepping before and post-Hx is shown in a representative rat from each group. Note that the uninjured rat steps quadrupedally on the treadmill without any support. The rat in the QT group steps similarly to an uninjured rat and without external support to the trunk or tail. The rats in the BT and NT groups, in contrast, step poorly and partial trunk and tail support is necessary to enable effective weight bearing and coordination during stepping.