A model of open-loop control of equilibrium position and stiffness of the human elbow joint

According to the equilibrium point theory, the control of posture and movement involves the setting of equilibrium joint positions (EP) and the independent modulation of stiffness. One model of EP control, the α-model, posits that stable EPs and stiffness are set open-loop, i.e. without the aid of feedback. The purpose of the present study was to explore for the elbow joint the range over which stable EPs can be set open-loop and to investigate the effect of co-contraction on intrinsic low-frequency elbow joint stiffness (

Conclusions on motor control depend on the type of model used to represent the periphery

Within the field of motor control, there is no consensus on which kinematic and kinetic aspects of movements are planned or controlled. Perturbing goal-directed movements is a frequently used tool to answer this question. To be able to draw conclusions about motor control from kinematic responses to perturbations, a model of the periphery (i.e., the skeleton, muscle-tendon complexes, and spinal reflex circuitry) is required. The purpose of the present study was to determine to what extent such conclusions depend on the level of simplification with which the dynamical properties of the periphery are modeled. For this purpose, we simulated fast goal-directed single-joint movement with four existing types of models. We tested how three types of perturbations affected movement trajectory if motor commands remained unchanged. We found that the four types of models of the periphery showed different robustness to the perturbations, leading to different predictions on how accurate motor commands need to be, i.e., how accurate the knowledge of external conditions needs to be. This means that when interpreting kinematic responses obtained in perturbation experiments the level of error correction attributed to adaptation of motor commands depends on the type of model used to describe the periphery

In Vivo Dynamics of the Musculoskeletal System Cannot Be Adequately Described Using a Stiffness-Damping-Inertia Model

Background: Visco-elastic properties of the (neuro-)musculoskeletal system play a fundamental role in the control of posture and movement. Often, these properties are described and identified using stiffness-damping-inertia (KBI) models. In such an approach, perturbations are applied to the (neuro-)musculoskeletal system and subsequently KBI-model parameters are optimized to obtain a best fit between simulated and experimentally observed responses. Problems with this approach may arise because a KBI-model neglects critical aspects of the real musculoskeletal system. Methodology/Principal Findings: The purpose of this study was to analyze the relation between the musculoskeletal properties and the stiffness and damping estimated using a KBI-model, to analyze how this relation is affected by the nature of the perturbation and to assess the sensitivity of the estimated stiffness and damping to measurement errors. Our analyses show that the estimated stiffness and damping using KBI-models do not resemble any of the dynamical parameters of the underlying system, not even when the responses are very accurately fitted by the KBI-model. Furthermore, the stiffness and damping depend non-linearly on all the dynamical parameters of the underlying system, influenced by the nature of the perturbation and the time interval over which the KBI-model is optimized. Moreover, our analyses predict a very high sensitivity of estimated parameters to measurement errors. Conclusions/Significance: The results of this study suggest that the usage of stiffness-damping-inertia models t

Control of position and movement is simplified by combined muscle spindle and Golgi tendon organ feedback

Whereas muscle spindles play a prominent role in current theories of human motor control, Golgi tendon organs (GTO) and their associated tendons are often neglected. This is surprising since there is ample evidence that both tendons and GTOs contribute importantly to neuromusculoskeletal dynamics. Using detailed musculoskeletal models, we provide evidence that simple feedback using muscle spindles alone results in very poor control of joint position and movement since muscle spindles cannot sense changes in tendon length that occur with changes in muscle force. We propose that a combination of spindle and GTO afferents can provide an estimate of muscle-tendon complex length, which can be effectively used for low-level feedback during both postural and movement tasks. The feasibility of the proposed scheme was tested using detailed musculoskeletal models of the human arm. Responses to transient and static perturbations were simulated using a 1-degree-of-freedom (DOF) model of the arm and showed that the combined feedback enabled the system to respond faster, reach steady state faster, and achieve smaller static position errors. Finally, we incorporated the proposed scheme in an optimally controlled 2-DOF model of the arm for fast point-to-point shoulder and elbow movements. Simulations showed that the proposed feedback could be easily incorporated in the optimal control framework without complicating the computation of the optimal control solution, yet greatly enhancing the system's response to perturbations. The theoretical analyses in this study might furthermore provide insight about the strong physiological couplings found between muscle spindle and GTO afferents in the human nervous system. © 2013 the American Physiological Society

Analysis of Biodynamic Responses Associated with Upper Limb Reaching Movements under Whole-Body Vibration: Support for an Active Biodynamic Model.

Vehicle vibration is a well-recognized environmental stressor inducing discomfort, health risks, and performance degradation of the operator on board. More specifically, vibration transmitted by heavy transportation, construction, or military vehicles to the whole body of a seated occupant interferes with manual activities, which in turn may significantly compromise performance. Numerous approaches have attempted to understand the effects of vibration on the seated human for developing biomechanical models or to identify human reaching behaviors for developing human movement models. However, all these studies were limited to biomechanical models of the torso excluding the upper limbs, or to reach models based only on static conditions with no consideration of the interaction between environmental conditions of vibration and biodynamic characteristics of arm movements. The ultimate goal of this work is to provide a framework for an active biodynamic model of operators in vehicles based on empirical analyses of biodynamic responses of seated humans performing reaching movements under simplified whole-body vibration conditions. Hence, the present work investigates vibration transmission through multi-body segments as a function of vibration frequency and direction, identifies vibration-induced changes in reach kinematics of upper arm movements, analyzes the mechanisms of vibration transmission through a multi-body system as a function of posture and movement coordination, and proposes the integration of these empirical results for developing a biodynamic model. Five major results characterize our findings: a) vibration frequency is the dominant factor determining transmission characteristics through upper body segments, b) reach directions in three-dimensional space may be divided into three groups corresponding to transmission propagated through the upper limbs, c) visual compensation contributes to hand stabilization but does not modify significantly propagated transmission, d) elbow flexion contributes to the enhancement of hand stabilization by dissipating vibration energy, and e) biodynamic responses must be considered as three-dimensional tensors including the auto-axial and cross-axial transmissions. Furthermore, movement coordination and joint movement kinematics of reach movements are consistent between static and vibratory environments. The integration of these results may be used to support the structure of an active biodynamic model of the seated human.Ph.D.Mechanical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/75796/1/heonjeon_1.pd