Equivalent linear damping characterization in linear and nonlinear force–stiffness muscle models

Abstract

In the current research, the muscle equivalent linear damping coefficient which is introduced as the force-velocity relation in a muscle model and the corresponding time constant are investigated. In order to reach this goal, a 1D skeletal muscle model was used. Two characterizations of this model using a linear force-stiffness relationship (Hill-type model) and a nonlinear one have been implemented. The OpenSim platform was used for verification of the model. The isometric activation has been used for the simulation. The equivalent linear damping and the time constant of each model were extracted by using the results obtained from the simulation. The results provide a better insight into the characteristics of each model. It is found that the nonlinear models had a response rate closer to the reality compared to the Hill-type models.

Hysteresis in Muscle

“…The classic macroscopic Hill model, consisting of simple first order ordinary differential equations, is sufficient to simulate contracting muscle when considering hysteresis effects and has been firmly established as a reliable model of muscle contractile dynamics for many decades. A review of the developments of the Hill model up to 2016 can be found in [Ovesy, et al, 2016]. One of the major disadvantages of the Hilltype models is that the viscoelastic analogies do not map to the underlying physiological mechanisms associated with muscle.…”

Computational Modeling of the Passive and Active Components of the Face

“…Ovesy et al [50] showed the λ model had a more realistic response rate compared to the Hill-type model. In a study of orofacial gestures, no clear biomechanical differences were found between the two models [47].…”