Abstract
Human quiet standing system was investigated with a 2-joint (ankle and hip) sagittal model of body movement with perturbation noise. In the case of the noise perturbations, the influence on the stability of time delay is discussed numerically in this paper. Analytical analyses on the mean of the station response reveal that the presence of time delay leads to periodic vibration in parameter space, and the mean value increases as the reflexes delay increasing. But the mean square of the stationary response varies with not only the noise but also the delay. We find the stochastic factor has no affection on the stability of human, but it will make the amplify oscillations diffusion, which can be seen from the shape change of the figure on the stationary joint probability density and the stationary probability density. All these conclusions are shown by the numerical simulation. In conclusion, the influence of reflexes delay and perturbation on the stability and quality of stance has been studied by successfully combined with the biomechanical concepts and tools..
Highlights
A large numbers of publication work [1,2,3,4] at the equilibrium stability of upright standing were based on the simple biomechanical model of the human body as single inverted pendulum
In the case of the combined effects of the noise, the influence on the stability of time delay is discussed by numerical simulation
The results show human reflexes delay still has a great influence on stability in human quiet standing
Summary
A large numbers of publication work [1,2,3,4] at the equilibrium stability of upright standing were based on the simple biomechanical model of the human body as single inverted pendulum. The noise perturbations have been considered into the single-link biomechanical model of the human body, but not in the double-link biomechanical model. We take into account both delay in the feedback loop and stochastic perturbations in the double-joint body configuration. In 2009, a spatial double inverted pendulum moving in a three dimensional space was considered to be a model of human standing postural control by Xinjilefu [8]. As one can see in [9], how the delay effect on the human posture during stance in the double pendulum with perturbation have been discussed. Is it consistent with [9]?
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