Mirror Writing: Learning, Transfer, and Implications for Internal Inverse Models

In a study of the effects of practicing mirror writing, the effects of transfer to the nonpracticed hand and to nonpracticed phrases were assessed in 185 students. Large transfer effects were observed. An interpretation of those effects is based on a suggestion that the learning led to the creation of a new internal inverse model (or a modification of a pre-existent model) mapping the space of task variables onto the space of internal variables.     

Age effects on rotational hand action

We investigated age-related differences in finger coordination during rotational hand actions. Two hypotheses based on earlier studies were tested: higher safety margins and lower synergy indices were expected in the elderly. Young and elderly subjects held a handle instrumented with five six-component force sensors and performed discrete accurate pronation and supination movements. The weight of the system was counterbalanced with another load. Indices of synergies stabilizing salient performance variables, such as total normal force, total tangential force, moments produced by these forces, and total moment of force were computed at two levels of a hypothetical control hierarchy, at the virtual finger-thumb level and at the individual finger level. At each level, synergy indices reflected the normalized difference between the sum of the variances of elemental variables and variance of their combined output, both computed at comparable phases over repetitive trials. The elderly group performed the task slower and showed lower safety margins for the thumb during the rotation phase. Overall, the synergy indices were not lower in the elderly group. In several cases, these indices were significantly higher in the elderly than in the younger participants. Hence, both main hypotheses have been falsified. We interpret the unexpectedly low safety margins in the elderly as resulting from several factors such as increased force variability, impaired feed-forward control, and the fact that there was no danger of dropping the object. Our results suggest that in some natural tasks, such as the one used in this study, healthy elderly persons show no impairment, as compared to younger persons, in their ability to organize digits into synergies stabilizing salient performance variables.     

Finger coordination under artificial changes in finger strength feedback: a study using analytical inverse optimization

A recently developed method of analytical inverse optimization (ANIO) was used to compute cost functions based on sets of experimental observations in 4-finger pressing tasks with accurate total force and moment production. In different series, feedback on total force and moment was provided using the index finger force at its value, doubled, or halved. Finger force data across different force-moment combinations formed a plane. This allowed reconstructing cost functions as 2nd-order polynomials with linear terms. Changes in the coefficients of the cost function across the 3 series allowed the authors to offer a biomechanical interpretation related to constraints on finger forces with different lever arms. ANIO allows the authors to describe preferred regions within the space of solutions for redundant tasks in terms of cost functions.     

Directional Variability of the Isometric Force Vector Produced by the Human Hand in Multijoint Planar Tasks

Numerous studies have examined control of force magnitude, but relatively little research has considered force direction control. The subjects applied isometric forces to a handle and the authors compared within-trial variability when force is produced in different directions. The standard deviation of the force parallel to the prescribed direction of force production increased linearly with the targeted force level, as did the standard deviation of the force perpendicular to the instructed direction. In contrast, the standard deviation of the angle of force production decreased with increased force level. In the 4 (of 8) instructed force directions where the endpoint force was generated due to a joint torque in only 1 joint (either the shoulder or elbow) the principal component axes in force space were well aligned with the prescribed direction of force production. In the other directions, the variance was approximately equal along the 2 force axes. The variance explained by the first principal component was significantly larger in torque space compared to the force space, and mostly corresponded to positive correlation between the joint torques. Such coordinated changes suggest that the torque variability was mainly due to the variability of the common drive to the muscles serving 2 joints, although this statement needs to be supported by direct studies of muscle activation in the future.     

A study of a bimanual synergy associated with holding an object

The task of supporting an object with one or two hands was used to test the applicability of the notion of synergy. Subjects sat with their dominant forearm supported up to the wrist while holding a cylindrical “cup” between their thumb and fingers. Force transducers recorded the grip force applied normal to the cup's side by the thumb and the force applied normal to the cup bottom. On different series, a supporting force was added to and released from the bottom of the cup by the subject's non-dominant hand or by the experimenter. As predicted, the results indicated feedforward adjustments of the grip force, and of the EMGs, and significant correlations between grip force and supporting force when they were produced by two hands of one person, and the lack of such closely tied changes when the two forces were produced by two different persons. In the latter case, different subjects could demonstrate grip force changes in different directions. The findings suggest that grip force adjustments represented peripheral patterns of a single central process (a single synergy) rather than being separately controlled focal and postural components of the action.PsycINFO classification: 2330     

Learning a pointing task with a kinematically redundant limb: Emerging synergies and patterns of final position variability

The study tested a hypothesis that practice of arm pointing movement can lead to a reorganization of the joint coordination reflected in the emergence of several synergies based on the same set of joints. In particular, involvement of the wrist may represent a choice by the central nervous system and not be driven by the typical “freezing-to-freeing” sequence. The effects of practice on the kinematic patterns and variability of a “fast and accurate” pointing movement using a pointer were studied. An obstacle was placed between the initial position and the target to encourage a curvilinear trajectory and larger wrist involvement. Practice led to a decrease in variability indices accompanied by an increase in movement speed of the endpoint and of the elbow and the shoulder, but not of the wrist joint. Five out of six subjects decreased the peak-to-peak amplitude of wrist motion. Before practice, the variability along the line connecting the endpoint to the shoulder (extent) was similar to that in the direction orthogonal to this line. After practice, variability was reduced along the extent, but not along the orthogonal direction perpendicular to this line. Prior to practice, indices of variability of the endpoint were lower than those of the marker placed over the wrist; after practice, the endpoint showed higher variability indices than the wrist. We interpret the data as consequences of the emergence of two synergies: (a) Pointing with a non-redundant set of the elbow and shoulder joints; and (b) keeping wrist position constant. The former synergy is based on a structural unit involving the elbow and the shoulder, while the latter is based on a structural unit that includes all the major arm joints.     

An equilibrium-point model for fast, single-joint movement: I. Emergence of strategy-dependent EMG patterns

We describe a model for the regulation of fast, single-joint movements, based on the equilibrium-point hypothesis. Limb movement follows constant rate shifts of independently regulated neuromuscular variables. The independently regulated variables are tentatively identified as thresholds of a length sensitive reflex for each of the participating muscles. We use the model to predict EMG patterns associated with changes in the conditions of movement execution, specifically, changes in movement times, velocities, amplitudes, and moments of limb inertia. The approach provides a theoretical neural framework for the dual-strategy hypothesis, which considers certain movements to be results of one of two basic, speed-sensitive or speed-insensitive strategies. This model is advanced as an alternative to pattern-imposing models based on explicit regulation of timing and amplitudes of signals that are explicitly manifest in the EMG patterns.     

The equilibrium-point hypothesis is still doing fine

Within the present paper we provide the arguments that contradict Gottlieb's conclusions regarding the theoretical implications of kinematics of movements performed with unexpectedly changed inertial loads. First, the load associated changes in movement velocity presented by Gottlieb may be caused by apparent methodological differences, when compared to our earlier results. Moreover, the present data can be interpreted by the equilibrium-point hypothesis as well as by Gottlieb's hypothesis. Second, Gottlieb remains silent on findings related to the movement time and symmetry ratio that contradict predictions based on either torque control or Gottlieb's hypothesis. Therefore, we conclude that the data obtained on rapid movements performed with unexpected changes in inertial load support equilibrium-point hypothesis, rather that any of the torque control based models.