Abstract

Accurate predictions of joint contact forces through computer simulation of musculoskeletal dynamics can provide insight, in a non-invasive manner, into the joint loads of patients with osteoarthritis and healthy controls. The current approach to assume optimal control, in terms of metabolic energy expenditure, remains a major limitation of the prediction of muscle activation patterns that determine joint contact forces. Stochastically optimal muscle control, in the form of a stochastic component superimposed to the optimal control, could potentially explain the inter-trial variability as observed in measured knee contact forces during level walking. A probabilistic approach was used to predict sets of possible muscle activation patterns within a 5 and 10% limit from the optimal muscle activation pattern. The knee contact forces determined by both the optimal and stochastically optimal muscle activation patterns were compared to the corresponding knee contact force patterns measured by an instrumented implant. The range of muscle control patterns captured the inter-trial variability of knee contact forces for most of the gait cycle, suggesting that the probabilistic approach used here is representative of a stochastically optimal control that accounts for co-contraction, whereas during some time intervals a more explicit representation of the motor control strategy is required. These findings underline the importance of stochastically optimal muscle control in the prediction of knee forces within a multi-body dynamics approach.

Highlights

  • T HE relevance of the forces experienced by the articular surface of weight-bearing joints during activities of daily life to the onset and progression of joint degenerative diseases, such as osteoarthritis, has been discussed extensively in the literature, e.g. [1]

  • This study aims to explore the limitations of optimal control in predictions of knee contact forces by answering the following questions: 1) Does at least one muscle activation pattern exist for which a subject-specific musculoskeletal dynamics model of level walking predicts the forces at the knee within measurement precision?; 2) Assuming such a solution exists, how different is it from an optimal control solution in terms of knee contact forces, and in terms of muscle activation?; 3) How well can this difference be explained by a stochastic component superimposed to the optimal control, consistent with the uncontrolled manifold theory?

  • For a limit radius of 0.1, the measured knee contact forces were within the range of forces estimated by the sampled muscle activation patterns for most of the gait cycle, except for a time interval during the loading response phase when all sampled muscle activation patterns overestimated the measured knee force

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Summary

Introduction

T HE relevance of the forces experienced by the articular surface of weight-bearing joints during activities of daily life to the onset and progression of joint degenerative diseases, such as osteoarthritis, has been discussed extensively in the literature, e.g. [1]. A limitation to all the above studies is their assumption of optimal control to predict muscle activation patterns, assuming minimal metabolic energy expenditure [13]. Whereas this might be a valid assumption for healthy gait, it does not necessarily hold for pathological gait: overall metabolic energy expenditure, has been shown to increase in pathological gait [14]. The assumption of energetically optimal control does not account for co-contraction Different approaches, such as EMG-driven forward dynamics and muscle synergies, successfully included experimental data to personalize muscle control in the estimation of knee contact forces [19]–[22]. The assumptions required for the translation from measurements of electrical activation to units of force, the cross-talking

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