Mechanism for High-Precision Control of Movement at Maximum Output in the Vertical Jump Task.

Human movements are governed by a tradeoff between speed and accuracy. Previous studies that have investigated the tradeoff relationship in sports movements involving whole-body movements have been limited to examining the relationship from the perspective of competition-specific movements, and the findings on whether the relationship is valid have not been unified. Therefore, this study incorporated a vertical jump task with the introduction of a condition in which landing position control was added to evaluate the essence of a sports movement that requires both speed and accuracy. Accuracy was examined using a method that quantifies the coordinates of the landing and takeoff positions using entropy. The mechanism of that tradeoff was then examined by confirming the phenomenon and analyzing the 3D vector trajectories. An increase in accuracy and a decrease in speed were observed when the landing position was the control target, even in the vertical jumping task normally performed at maximum effort, and the 3D velocity vector was characterized by the following: a reduced scalar and a more vertical direction. While the entropy from the takeoff to the landing position seemed to decrease when the accuracy of the landing position improved, the following noteworthy results were obtained given the characteristics of the vertical jump. Unlike traditional feedback control in the entropy reduction in hand movements, the trajectory is predetermined in a feedforward-like manner by controlling the initial velocity vector at takeoff, which allows the landing point to be adjusted.

Human Information Processing of the Speed of Various Movements Estimated Based on Trajectory Change.

Fitts' approach, which examines the information processing of the human motor system, has the problem that the movement speed is controlled by the difficulty index of the task, which the participant uniquely sets, but it is an arbitrary speed. This study rigorously aims to examine the relationship between movement speed and information processing using Woodworth's method to control movement speed. Furthermore, we examined movement information processing using an approach that calculates probability-based information entropy and mutual information quantity between points from trajectory analysis. Overall, 17 experimental conditions were applied, 16 being externally controlled and one being self-paced with maximum speed. Considering that information processing occurs when irregularities decrease, the point at which information processing occurs switches at a movement frequency of approximately 3.0-3.25 Hz. Previous findings have suggested that motor control switches with increasing movement speed; thus, our approach helps explore human information processing in detail. Note that the characteristics of information processing in movement speed changes that were identified in this study were derived from one participant, but they are important characteristics of human motor control.

Estimating Information Processing of Human Fast Continuous Tapping from Trajectories.

Fitts studied the problem of information capacity and transfer in the speed-accuracy motor paradigm using a theoretical approach developed from Shannon and Weaver's information theory. The information processing (bit/s) estimated in Fitts' study is calculated from the movement time required to achieve the required task index of difficulty but is essentially different from Shannon's information entropy. Thus, we estimated the information entropy of multiple human movement trajectories and the mutual information among trajectories for the continuous aiming task in Fitts' paradigm. Further, we estimated the information processing moment by moment. Two methods were considered: (1) encoded values encompassing the coordinates of the three dimensions and (2) coordinate values associated with each direction in the three dimensions. Information entropy indicates the magnitude of variation at each time point, and the structure of this variation varies with the index of difficulty. The ratio of entropy to mutual information was examined, and it was found that information was processed from the first half of the trajectory in difficult tasks. In addition, since these values calculated from the encoded method were higher than those from the conventional method, this method may be able to estimate these values successfully.

Fitts' law when errors are not allowed: Quantification of reciprocating trajectories and estimating information processing.

There are circumstances in which humans are required to move in environments wherein accuracy should be maximized, such as golf putting or surgeons' hand movements during surgical procedures. Fitts' law expresses human movement by movement time and task difficulty, which is determined by one's distance from the target and the targets' size. Additionally, this law is considered as the most universal expression of human movement. However, it is calculated based on the possibility of failure, mainly because a tap error ratio of ~4% occurred in the continuous tap task used by Fitts. Thus, this study aimed to examine how movement changes can occur with an error rate of 0%, and whether Fitts' law can be applied to human movement in such a setting. The continuous tap task was performed under two conditions: a conventional one, and a new condition where the devised error rate becomes 0%. To measure movement change during tapping, the variation of the entire trajectory was quantified by principal component analysis, and changes in the quantified values of the trajectory toward the target were examined. For the new condition, no tapping errors occurred; the quantified value of the trajectory toward the target decreased compared with the conventional condition. It was considered that this related to the process of feedback control, and that this process related to an increase in movement time per tap. We suggest that increased information processing may account for these changes. Furthermore, the Fitts' law model, shown from the regression lines for movement time and difficulty, displayed a high fit for both conditions. However, it was difficult to evaluate movement time with the highest index of difficulty for the new condition using the model for the conventional condition. Therefore, we conclude that the conventional model may need to be modified for conditions where the error rate is 0%.

Difference Between Intentional and Reactive Movement in Side-Steps: Patterns of Temporal Structure and Force Exertion.

Intentional and reactive movements are dissimilar in terms of execution time. Previous studies reported that reactive movements are faster than intentional movements ("Bohr's law" or "Gunslinger effect"), however, these studies focused only on hand-reaching tasks, such as pressing buttons. No studies assessed whole-body movements involving movement of the center of mass (CoM). This movement is characterized by many degrees of freedom because it involves many joints and requires more force than the hand-reaching movement. In this study, we determined the differences in the patterns of temporal structure and force exertion to elucidate the mechanism of "Bohr's law" in whole-body movement involving movement of the CoM. Ten participants performed a sidestepping task, which requires at least two steps: (1) an intentional movement, in which the movement started with the participants' own timing; and (2) a reactive movement, in which the movement started the moment a light-emitting diode bulb in front of the participants lit up. We collected data on the ground reaction forces and coordinates of 20 body points. The time of movement onset was calculated and defined based on the ground reaction force, which has the earliest onset compared with velocity and position. The execution time was significantly shorter in the reactive movement condition than in the intentional movement condition (772 vs. 715 ms, p = 2.9 × 10-4). We confirmed that Bohr's law was applicable not only in hand-reaching tasks but also in whole-body movement. Moreover, we identified three phases, including the velocity reversal phenomenon associated with the produced mechanism of Bohr's law, and provided the temporal structure. The difference in the pattern of force exertion accompanying the two styles of motor planning with different accuracies was strongly associated with this motor characteristic. These findings may serve as important basic data to scientifically clarify the mechanism of complex physical tactics implemented in one-on-one dueling in various sports.

Water Sensation During Passive Propulsion for Expert and Nonexpert Swimmers.

This study determined whether expert swimmers, compared with nonexperts, have superior movement perception and physical sensations of propulsion in water. Expert (national level competitors, n = 10) and nonexpert (able to swim 50 m in > 3 styles, n = 10) swimmers estimated distance traveled in water with their eyes closed. Both groups indicated their subjective physical sensations in the water. For each of two trials, two-dimensional coordinates were obtained from video recordings using the two-dimensional direct linear transformation method for calculating changes in speed. The mean absolute error of the difference between the actual and estimated distance traveled in the water was significantly lower for expert swimmers (0.90 ± 0.71 meters) compared with nonexpert swimmers (3.85 ± 0.84 m). Expert swimmers described the sensation of propulsion in water in cutaneous terms as the "sense of flow" and sensation of "skin resistance." Therefore, expert swimmers appear to have a superior sense of distance during their movement in the water compared with that of nonexpert swimmers. In addition, expert swimmers may have a better perception of movement in water. We propose that expert swimmers integrate sensations and proprioceptive senses, enabling them to better perceive and estimate distance moved through water.

Temporal coordination between ground reaction forces generated by leading and trailing limbs for propulsion during double stance phase in human walking.

Although it was reported that ground reaction forces (GRFs) are generated simultaneously by the leading and trailing limbs during the double stance phase, the finding was not examined by temporal analyses. Therefore, the purpose of the present study is to clarify how GRFs can act to propel the body in a forward direction during the double stance phase. GRFs were recorded during the double stance phase in eleven healthy volunteers. We calculated the instantaneous phase of the GRFs for vertical and anterior-posterior (AP) components, and then calculated the relative phase between the leading and trailing limbs for each component. The relative phase of the vertical component was approximately 180° (i.e., anti-phase), indicating that the lower limb transfers weight smoothly from the trailing limb to the leading limb. The relative phase of the AP component ranged from 40 to 55°, indicating that the AP component of the forces do not occur simultaneously, but instead has a lag. This finding suggests that the forces exerted by the leading and trailing limbs would temporally coordinate to propel the body in the forward direction.

Intersegmental dynamics of 3D upper arm and forearm longitudinal axis rotations during baseball pitching.

The shoulder internal rotation (IR) and forearm pronation (PR) are important elements for baseball pitching, however, how rapid rotations of IR and PR are produced by muscular torques and inter-segmental forces is not clear. The aim of this study is to clarify how IR and PR angular velocities are maximized, depending on muscular torque and interactive torque effects, and gain a detailed knowledge about inter-segmental interaction within a multi-joint linked chain. The throwing movements of eight collegiate baseball pitchers were recorded by a motion capture system, and induced-acceleration analysis was used to assess the respective contributions of the muscular (MUS) and interactive torques associated with gyroscopic moment (GYR), and Coriolis (COR) and centrifugal forces (CEN) to maximum angular velocities of IR (MIRV) and PR (MPRV). The results showed that the contribution of MUS account for 98.0% of MIRV, while that contribution to MPRV was indicated as negative (-48.1%). It was shown that MPRV depends primarily on the interactive torques associated with GYR and CEN, but the effects of GYR, COR and CEN on MIRV are negligible. In conclusion, rapid PR motion during pitching is created by passive-effect, and is likely a natural movement which arises from 3D throwing movement. Applying the current analysis to IR and PR motions is helpful in providing the implications for improving performance and considering conditioning methods for pitchers.

Anticipation of elbow joint perturbation shortens the onset time of the reflex EMG response in biceps brachii and triceps brachii.

This study aimed to investigate the influence of the anticipation of a perturbation torque applied to extend the elbow joint on the onset time of reflex electromyogram (EMG) responses. A perturbation torque generated by an electromagnetic torque motor system was applied to the forearm of eleven subjects during trials. The trials were divided into an anticipated (AN) condition - perturbation torque applied after the auditory signal - and an unanticipated (UAN) condition - suddenly applied perturbation. To detect the reflex EMG response in the biceps brachii (Bb) and triceps brachii (Tb) muscles, a new method involving the discrete wavelet transform and outlier tests was used. We found that the onset time of the reflex response in both the muscles in the AN condition was significantly shorter than that in the UAN condition. The angle of transition from flexion to extension, which was induced by the reflex response of Bb, was also significantly smaller in the AN condition than in the UAN condition. The results indicate that the anticipation of an applied perturbation torque decreases the onset time of the reflex response in the Bb and Tb.

Modulation of elbow joint stiffness in a vertical plane during cyclic movement at lower or higher frequencies than natural frequency.

The purpose of the present study was to determine how joint stiffness during cyclic movement in a vertical plane is modulated at lower or higher frequencies than the natural frequency of the system. Five male subjects were instructed to swing their forearms rhythmically in a vertical plane under various frequency conditions (0.7-2.25 Hz). To estimate the mechanical properties of the elbow joint, external perturbations were applied by an electromagnetic torque motor system to the forearm of each subject during the movement. Joint stiffness showed a significant quadratic trend with a minimum close to the natural frequency of the apparatus-forearm system (1.09+/-0.08 Hz). The resonant frequency showed the similar tendencies to joint stiffness and was significantly different from movement frequency in the lower frequency range (0.7-0.9 Hz). In addition, the ratio of joint stiffness to the background torque (ST(ratio)) was greater in the frequency conditions below the natural frequency than in the frequency conditions above the natural frequency and was relatively constant in the latter. These results suggested that: (1) the modulation of joint stiffness for movement in a vertical plane, by which the resonant frequency of the system is kept close to the movement frequency, may be limited to the movement frequency range above the natural frequency; and (2), in the case of movement in a vertical plane, the mechanism by which joint stiffness is modulated may change according to the relation between natural frequency and movement frequency.